TSTP Solution File: SWW339+1 by CSE---1.7
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%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SWW339+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 18:07:50 EDT 2024
% Result : Theorem 202.84s 202.76s
% Output : CNFRefutation 203.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW339+1 : TPTP v8.2.0. Released v5.2.0.
% 0.03/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.35 % Computer : n017.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Wed Jun 19 06:27:09 EDT 2024
% 0.12/0.36 % CPUTime :
% 0.51/0.60 start to proof:theBenchmark
% 202.45/202.61 %-------------------------------------------
% 202.45/202.61 % File :CSE---1.7
% 202.45/202.61 % Problem :theBenchmark
% 202.45/202.61 % Transform :cnf
% 202.45/202.61 % Format :tptp:raw
% 202.45/202.61 % Command :java -jar mcs_scs.jar %d %s
% 202.45/202.61
% 202.45/202.61 % Result :Theorem 178.420000s
% 202.45/202.61 % Output :CNFRefutation 178.420000s
% 202.45/202.61 %-------------------------------------------
% 202.45/202.62 %------------------------------------------------------------------------------
% 202.45/202.62 % File : SWW339+1 : TPTP v8.2.0. Released v5.2.0.
% 202.45/202.62 % Domain : Software Verification
% 202.45/202.62 % Problem : Hoare's Logic with Procedures 435190, 5000 axioms selected
% 202.45/202.62 % Version : Especial.
% 202.45/202.62 % English :
% 202.45/202.62
% 202.45/202.62 % Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 202.45/202.62 % : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe
% 202.45/202.62 % Source : [Bla11]
% 202.45/202.62 % Names : hoare_435190.5000.p [Bla11]
% 202.45/202.62
% 202.45/202.62 % Status : Theorem
% 202.45/202.62 % Rating : 0.67 v8.2.0, 0.64 v8.1.0, 0.69 v7.5.0, 0.75 v7.4.0, 0.80 v7.3.0, 0.79 v7.1.0, 0.78 v7.0.0, 0.80 v6.4.0, 0.77 v6.3.0, 0.83 v6.2.0, 0.92 v6.1.0, 0.93 v6.0.0, 0.87 v5.5.0, 0.89 v5.3.0, 0.93 v5.2.0
% 202.45/202.62 % Syntax : Number of formulae : 5229 (1638 unt; 0 def)
% 202.45/202.62 % Number of atoms : 12849 (4412 equ)
% 202.45/202.62 % Maximal formula atoms : 13 ( 2 avg)
% 202.45/202.62 % Number of connectives : 8584 ( 964 ~; 148 |; 713 &)
% 202.45/202.62 % ( 897 <=>;5862 =>; 0 <=; 0 <~>)
% 202.45/202.62 % Maximal formula depth : 22 ( 6 avg)
% 202.45/202.62 % Maximal term depth : 19 ( 2 avg)
% 202.45/202.62 % Number of predicates : 152 ( 151 usr; 0 prp; 1-6 aty)
% 202.45/202.62 % Number of functors : 375 ( 375 usr; 47 con; 0-7 aty)
% 202.45/202.62 % Number of variables : 16642 (16486 !; 156 ?)
% 202.45/202.62 % SPC : FOF_THM_RFO_SEQ
% 202.45/202.62
% 202.45/202.62 % Comments : This file was generated by Isabelle (most likely Sledgehammer)
% 202.45/202.62 % 2011-03-01 12:10:09
% 202.45/202.62 %------------------------------------------------------------------------------
% 202.45/202.62 %----Relevant facts (4985)
% 202.45/202.62 fof(fact_ext,axiom,
% 202.45/202.62 ! [V_g_2,V_f_2] :
% 202.45/202.62 ( ! [B_x] : hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x)
% 202.45/202.62 => V_f_2 = V_g_2 ) ).
% 202.45/202.62
% 202.45/202.62 fof(fact_asm,axiom,
% 202.45/202.62 ! [V_Ga_2,V_tsa_2,T_b] :
% 202.45/202.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)),V_tsa_2),V_Ga_2))
% 202.45/202.62 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_tsa_2) ) ).
% 202.45/202.62
% 202.45/202.62 fof(fact_weaken,axiom,
% 202.45/202.62 ! [V_tsa_2,V_ts_H_2,V_Ga_2,T_b] :
% 202.45/202.62 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_H_2)
% 202.45/202.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)),V_tsa_2),V_ts_H_2))
% 202.45/202.62 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_tsa_2) ) ) ).
% 202.45/202.62
% 202.45/202.62 fof(fact_thin,axiom,
% 202.45/202.62 ! [V_Ga_2,V_tsa_2,V_G_H_2,T_b] :
% 202.45/202.62 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_H_2,V_tsa_2)
% 202.45/202.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)),V_G_H_2),V_Ga_2))
% 202.45/202.62 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_tsa_2) ) ) ).
% 202.45/202.62
% 202.45/202.62 fof(fact_cut,axiom,
% 202.45/202.62 ! [V_Ga_2,V_tsa_2,V_G_H_2,T_b] :
% 202.45/202.62 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_H_2,V_tsa_2)
% 202.45/202.62 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_G_H_2)
% 202.45/202.62 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_tsa_2) ) ) ).
% 202.45/202.62
% 202.45/202.62 fof(fact_equalityI,axiom,
% 202.45/202.62 ! [V_B_2,V_A_2,T_b] :
% 202.45/202.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 202.45/202.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 202.45/202.62 => V_A_2 = V_B_2 ) ) ).
% 202.45/202.62
% 202.45/202.62 fof(fact_order__refl,axiom,
% 202.45/202.62 ! [V_x,T_a] :
% 202.45/202.62 ( class_Orderings_Opreorder(T_a)
% 202.45/202.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_x)) ) ).
% 202.45/202.62
% 202.45/202.62 fof(fact_hoare__valids__def,axiom,
% 202.45/202.62 ! [V_tsa_2,V_Ga_2,T_b] :
% 202.45/202.62 ( c_Hoare__Mirabelle_Ohoare__valids(T_b,V_Ga_2,V_tsa_2)
% 202.45/202.62 <=> ! [B_n] :
% 202.45/202.62 ( ! [B_x] :
% 202.45/202.62 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_b)),B_x),V_Ga_2))
% 202.45/202.62 => c_Hoare__Mirabelle_Otriple__valid(T_b,B_n,B_x) )
% 202.45/202.62 => ! [B_x] :
% 202.45/202.62 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_b)),B_x),V_tsa_2))
% 202.45/202.62 => c_Hoare__Mirabelle_Otriple__valid(T_b,B_n,B_x) ) ) ) ).
% 202.45/202.62
% 202.45/202.62 fof(fact_le__fun__def,axiom,
% 202.45/202.62 ! [V_g_2,V_f_2,T_b,T_c] :
% 202.45/202.62 ( class_Orderings_Oord(T_c)
% 202.45/202.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 202.45/202.62 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) ) ) ).
% 202.45/202.62
% 202.45/202.62 fof(fact_le__funD,axiom,
% 202.45/202.62 ! [V_x_2,V_g_2,V_f_2,T_b,T_c] :
% 202.45/202.62 ( class_Orderings_Oord(T_c)
% 202.45/202.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 202.45/202.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2))) ) ) ).
% 202.45/202.62
% 202.45/202.62 fof(fact_le__funE,axiom,
% 202.45/202.62 ! [V_x_2,V_g_2,V_f_2,T_b,T_c] :
% 202.45/202.62 ( class_Orderings_Oord(T_c)
% 202.45/202.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 202.45/202.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2))) ) ) ).
% 202.45/202.62
% 202.45/202.62 fof(fact_subset__refl,axiom,
% 202.45/202.62 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_A_2)) ).
% 202.45/202.62
% 202.45/202.62 fof(fact_set__eq__subset,axiom,
% 202.45/202.62 ! [T_b,V_B_2,V_A_2] :
% 202.45/202.62 ( V_A_2 = V_B_2
% 202.45/202.62 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 202.45/202.62 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ).
% 202.45/202.62
% 202.45/202.62 fof(fact_rev__predicate1D,axiom,
% 202.45/202.62 ! [V_Q_2,T_b,V_x_2,V_P_2] :
% 202.45/202.62 ( hBOOL(hAPP(V_P_2,V_x_2))
% 202.45/202.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_P_2),V_Q_2))
% 202.45/202.62 => hBOOL(hAPP(V_Q_2,V_x_2)) ) ) ).
% 202.45/202.62
% 202.45/202.62 fof(fact_equalityD1,axiom,
% 202.45/202.62 ! [T_b,V_B_2,V_A_2] :
% 202.45/202.62 ( V_A_2 = V_B_2
% 202.45/202.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 202.45/202.62
% 202.45/202.62 fof(fact_equalityD2,axiom,
% 202.45/202.62 ! [T_b,V_B_2,V_A_2] :
% 202.45/202.62 ( V_A_2 = V_B_2
% 202.45/202.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ).
% 202.45/202.62
% 202.45/202.62 fof(fact_predicate1D,axiom,
% 202.45/202.62 ! [V_x_2,V_Q_2,V_P_2,T_b] :
% 202.45/202.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_P_2),V_Q_2))
% 202.45/202.62 => ( hBOOL(hAPP(V_P_2,V_x_2))
% 202.45/202.62 => hBOOL(hAPP(V_Q_2,V_x_2)) ) ) ).
% 202.45/202.62
% 202.45/202.62 fof(fact_linorder__le__cases,axiom,
% 202.45/202.62 ! [V_y,V_x,T_a] :
% 202.45/202.62 ( class_Orderings_Olinorder(T_a)
% 202.45/202.62 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 202.45/202.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 202.45/202.62
% 202.45/202.62 fof(fact_xt1_I6_J,axiom,
% 202.45/202.62 ! [V_z,V_x,V_y,T_a] :
% 202.45/202.62 ( class_Orderings_Oorder(T_a)
% 202.45/202.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 202.45/202.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y))
% 202.45/202.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x)) ) ) ) ).
% 202.45/202.63
% 202.45/202.63 fof(fact_xt1_I5_J,axiom,
% 202.45/202.63 ! [V_x,V_y,T_a] :
% 202.45/202.63 ( class_Orderings_Oorder(T_a)
% 202.45/202.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 202.45/202.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 202.45/202.63 => V_x = V_y ) ) ) ).
% 202.45/202.63
% 202.45/202.63 fof(fact_order__trans,axiom,
% 202.45/202.63 ! [V_z,V_y,V_x,T_a] :
% 202.45/202.63 ( class_Orderings_Opreorder(T_a)
% 202.45/202.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 202.45/202.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z))
% 202.45/202.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z)) ) ) ) ).
% 202.45/202.63
% 202.45/202.63 fof(fact_order__antisym,axiom,
% 202.45/202.63 ! [V_y,V_x,T_a] :
% 202.45/202.63 ( class_Orderings_Oorder(T_a)
% 202.45/202.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 202.45/202.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 202.45/202.63 => V_x = V_y ) ) ) ).
% 202.45/202.63
% 202.45/202.63 fof(fact_xt1_I4_J,axiom,
% 202.45/202.63 ! [V_c,V_a,V_b,T_a] :
% 202.45/202.63 ( class_Orderings_Oorder(T_a)
% 202.45/202.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 202.45/202.63 => ( V_b = V_c
% 202.45/202.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ).
% 202.45/202.63
% 202.45/202.63 fof(fact_ord__le__eq__trans,axiom,
% 202.45/202.63 ! [V_c,V_b,V_a,T_a] :
% 202.45/202.63 ( class_Orderings_Oord(T_a)
% 202.45/202.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 202.45/202.63 => ( V_b = V_c
% 202.45/202.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ).
% 202.45/202.63
% 202.45/202.63 fof(fact_xt1_I3_J,axiom,
% 202.45/202.63 ! [V_c,V_b,V_a,T_a] :
% 202.45/202.63 ( class_Orderings_Oorder(T_a)
% 202.45/202.63 => ( V_a = V_b
% 202.45/202.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_b))
% 202.45/202.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ).
% 202.45/202.63
% 202.45/202.63 fof(fact_ord__eq__le__trans,axiom,
% 202.45/202.63 ! [V_c,V_b,V_a,T_a] :
% 202.45/202.63 ( class_Orderings_Oord(T_a)
% 202.45/202.63 => ( V_a = V_b
% 202.45/202.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 202.45/202.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ).
% 202.45/202.63
% 202.45/202.63 fof(fact_order__antisym__conv,axiom,
% 202.45/202.63 ! [V_x_2,V_y_2,T_b] :
% 202.45/202.63 ( class_Orderings_Oorder(T_b)
% 202.45/202.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2))
% 202.45/202.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 202.45/202.63 <=> V_x_2 = V_y_2 ) ) ) ).
% 202.45/202.63
% 202.45/202.63 fof(fact_order__eq__refl,axiom,
% 202.45/202.63 ! [V_y,V_x,T_a] :
% 202.45/202.63 ( class_Orderings_Opreorder(T_a)
% 202.45/202.63 => ( V_x = V_y
% 202.45/202.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 202.45/202.63
% 202.45/202.63 fof(fact_order__eq__iff,axiom,
% 202.45/202.63 ! [V_y_2,V_x_2,T_b] :
% 202.45/202.63 ( class_Orderings_Oorder(T_b)
% 202.45/202.63 => ( V_x_2 = V_y_2
% 202.45/202.63 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 202.45/202.63 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ) ).
% 202.45/202.63
% 202.45/202.63 fof(fact_linorder__linear,axiom,
% 202.45/202.63 ! [V_y,V_x,T_a] :
% 202.45/202.63 ( class_Orderings_Olinorder(T_a)
% 202.45/202.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 202.45/202.63 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 202.45/202.63
% 202.45/202.63 fof(fact_equalityE,axiom,
% 202.45/202.63 ! [T_b,V_B_2,V_A_2] :
% 202.45/202.63 ( V_A_2 = V_B_2
% 202.45/202.63 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 202.45/202.63 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ).
% 202.45/202.63
% 202.45/202.63 fof(fact_subset__trans,axiom,
% 202.45/202.63 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 202.45/202.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 202.45/202.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 202.45/202.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 202.45/202.63
% 202.45/202.63 fof(fact_Powp__mono,axiom,
% 202.45/202.63 ! [V_B_2,V_A_2,T_b] :
% 202.45/202.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 202.45/202.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),c_Predicate_OPowp(T_b,V_A_2)),c_Predicate_OPowp(T_b,V_B_2))) ) ).
% 202.45/202.63
% 202.45/202.63 fof(fact_triples__valid__Suc,axiom,
% 202.45/202.63 ! [V_n_2,V_tsa_2,T_b] :
% 202.45/202.63 ( ! [B_x] :
% 202.45/202.63 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_b)),B_x),V_tsa_2))
% 202.45/202.63 => c_Hoare__Mirabelle_Otriple__valid(T_b,hAPP(c_Nat_OSuc,V_n_2),B_x) )
% 202.45/202.63 => ! [B_x] :
% 202.45/202.63 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_b)),B_x),V_tsa_2))
% 202.45/202.63 => c_Hoare__Mirabelle_Otriple__valid(T_b,V_n_2,B_x) ) ) ).
% 202.45/202.63
% 202.45/202.63 fof(fact_le__funI,axiom,
% 202.45/202.63 ! [T_b,V_g_2,V_f_2,T_c] :
% 202.45/202.63 ( class_Orderings_Oord(T_c)
% 202.45/202.63 => ( ! [B_x] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x)))
% 202.45/202.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) ) ) ).
% 202.45/202.63
% 202.45/202.63 fof(fact_strict__mono__less__eq,axiom,
% 202.45/202.63 ! [V_y_2,V_x_2,V_f_2,T_b,T_c] :
% 202.45/202.63 ( ( class_Orderings_Oorder(T_c)
% 202.45/202.63 & class_Orderings_Olinorder(T_b) )
% 202.45/202.63 => ( c_Orderings_Oorder__class_Ostrict__mono(T_b,T_c,V_f_2)
% 202.45/202.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)))
% 202.45/202.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) ) ) ) ).
% 202.45/202.63
% 202.45/202.63 fof(fact_greaterThan__subset__iff,axiom,
% 202.45/202.63 ! [V_y_2,V_x_2,T_b] :
% 202.45/202.63 ( class_Orderings_Olinorder(T_b)
% 202.45/202.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_x_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_y_2)))
% 202.45/202.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 202.45/202.63
% 202.45/202.63 fof(fact_lessThan__subset__iff,axiom,
% 202.45/202.63 ! [V_y_2,V_x_2,T_b] :
% 202.45/202.63 ( class_Orderings_Olinorder(T_b)
% 202.45/202.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_x_2)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_y_2)))
% 202.45/202.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) ) ) ).
% 202.45/202.63
% 202.45/202.63 fof(fact_atLeast__subset__iff,axiom,
% 202.45/202.63 ! [V_y_2,V_x_2,T_b] :
% 202.45/202.63 ( class_Orderings_Oorder(T_b)
% 202.45/202.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_x_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_y_2)))
% 202.45/202.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 202.45/202.63
% 202.45/202.63 fof(fact_atMost__subset__iff,axiom,
% 202.45/202.63 ! [V_y_2,V_x_2,T_b] :
% 202.45/202.63 ( class_Orderings_Oorder(T_b)
% 202.45/202.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_x_2)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_y_2)))
% 202.45/202.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) ) ) ).
% 202.45/202.63
% 202.45/202.63 fof(fact_SUP__subset,axiom,
% 202.45/202.63 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 202.45/202.63 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 202.45/202.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 202.45/202.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_A_2),V_f_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_B_2),V_f_2))) ) ) ).
% 202.45/202.63
% 202.45/202.63 fof(fact_INF__subset,axiom,
% 202.45/202.63 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 202.45/202.63 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 202.45/202.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 202.45/202.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_B_2),V_f_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_A_2),V_f_2))) ) ) ).
% 202.45/202.63
% 202.45/202.63 fof(fact_top__greatest,axiom,
% 202.45/202.63 ! [V_x,T_a] :
% 202.45/202.63 ( class_Orderings_Otop(T_a)
% 202.45/202.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Orderings_Otop__class_Otop(T_a))) ) ).
% 202.45/202.63
% 202.45/202.63 fof(fact_bot__least,axiom,
% 202.45/202.63 ! [V_x,T_a] :
% 202.45/202.63 ( class_Orderings_Obot(T_a)
% 202.45/202.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x)) ) ).
% 202.45/202.63
% 202.45/202.63 fof(fact_empty__subsetI,axiom,
% 202.45/202.63 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_A_2)) ).
% 202.45/202.63
% 202.45/202.63 fof(fact_bot__apply,axiom,
% 202.45/202.63 ! [V_x_2,T_c,T_b] :
% 202.45/202.63 ( class_Orderings_Obot(T_b)
% 202.45/202.63 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 202.45/202.63
% 202.51/202.63 fof(fact_top__apply,axiom,
% 202.51/202.63 ! [V_x_2,T_c,T_b] :
% 202.51/202.63 ( class_Orderings_Otop(T_b)
% 202.51/202.63 => hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Otop__class_Otop(T_b) ) ).
% 202.51/202.63
% 202.51/202.63 fof(fact_greaterThan__eq__iff,axiom,
% 202.51/202.63 ! [V_y_2,V_x_2,T_b] :
% 202.51/202.63 ( class_Orderings_Olinorder(T_b)
% 202.51/202.63 => ( hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_y_2)
% 202.51/202.63 <=> V_x_2 = V_y_2 ) ) ).
% 202.51/202.63
% 202.51/202.63 fof(fact_lessThan__eq__iff,axiom,
% 202.51/202.63 ! [V_y_2,V_x_2,T_b] :
% 202.51/202.63 ( class_Orderings_Olinorder(T_b)
% 202.51/202.63 => ( hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_y_2)
% 202.51/202.63 <=> V_x_2 = V_y_2 ) ) ).
% 202.51/202.63
% 202.51/202.63 fof(fact_atLeast__eq__iff,axiom,
% 202.51/202.63 ! [V_y_2,V_x_2,T_b] :
% 202.51/202.63 ( class_Orderings_Olinorder(T_b)
% 202.51/202.63 => ( hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_y_2)
% 202.51/202.63 <=> V_x_2 = V_y_2 ) ) ).
% 202.51/202.63
% 202.51/202.63 fof(fact_atMost__eq__iff,axiom,
% 202.51/202.63 ! [V_y_2,V_x_2,T_b] :
% 202.51/202.63 ( class_Orderings_Olinorder(T_b)
% 202.51/202.63 => ( hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_y_2)
% 202.51/202.63 <=> V_x_2 = V_y_2 ) ) ).
% 202.51/202.63
% 202.51/202.63 fof(fact_lessThan__Suc__atMost,axiom,
% 202.51/202.63 ! [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) ).
% 202.51/202.63
% 202.51/202.63 fof(fact_atLeast__Suc__greaterThan,axiom,
% 202.51/202.63 ! [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) ).
% 202.51/202.63
% 202.51/202.63 fof(fact_strict__mono__eq,axiom,
% 202.51/202.63 ! [V_y_2,V_x_2,V_f_2,T_b,T_c] :
% 202.51/202.63 ( ( class_Orderings_Oorder(T_c)
% 202.51/202.63 & class_Orderings_Olinorder(T_b) )
% 202.51/202.63 => ( c_Orderings_Oorder__class_Ostrict__mono(T_b,T_c,V_f_2)
% 202.51/202.63 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 202.51/202.63 <=> V_x_2 = V_y_2 ) ) ) ).
% 202.51/202.63
% 202.51/202.63 fof(fact_INFI__bool__eq,axiom,
% 202.51/202.63 ! [T_b] : c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_HOL_Obool) = c_Set_OBall(T_b) ).
% 202.51/202.63
% 202.51/202.63 fof(fact_subset__UNIV,axiom,
% 202.51/202.63 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ).
% 202.51/202.63
% 202.51/202.63 fof(fact_subset__empty,axiom,
% 202.51/202.63 ! [V_A_2,T_b] :
% 202.51/202.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 202.51/202.63 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 202.51/202.63
% 202.51/202.63 fof(fact_ball__empty,axiom,
% 202.51/202.63 ! [V_P_2,T_b,B_x] :
% 202.51/202.63 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 202.51/202.63 => hBOOL(hAPP(V_P_2,B_x)) ) ).
% 202.51/202.63
% 202.51/202.63 fof(fact_empty,axiom,
% 202.51/202.63 ! [V_Ga_2,T_b] : c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))) ).
% 202.51/202.63
% 202.51/202.63 fof(fact_hoare__derivs_Oequations_I1_J,axiom,
% 202.51/202.63 ! [V_a_2,T_b] : c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))) ).
% 202.51/202.63
% 202.51/202.63 fof(fact_triple__valid__Suc,axiom,
% 202.51/202.63 ! [V_t,V_n,T_a] :
% 202.51/202.63 ( c_Hoare__Mirabelle_Otriple__valid(T_a,hAPP(c_Nat_OSuc,V_n),V_t)
% 202.51/202.63 => c_Hoare__Mirabelle_Otriple__valid(T_a,V_n,V_t) ) ).
% 202.51/202.63
% 202.51/202.63 fof(fact_Suc__n__not__le__n,axiom,
% 202.51/202.63 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n)),V_n)) ).
% 202.51/202.63
% 202.51/202.63 fof(fact_not__less__eq__eq,axiom,
% 202.51/202.63 ! [V_n_2,V_m_2] :
% 202.51/202.63 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 202.51/202.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) ) ).
% 202.51/202.63
% 202.51/202.63 fof(fact_le__Suc__eq,axiom,
% 202.51/202.63 ! [V_n_2,V_m_2] :
% 202.51/202.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 202.51/202.63 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 202.51/202.63 | V_m_2 = hAPP(c_Nat_OSuc,V_n_2) ) ) ).
% 202.51/202.63
% 202.51/202.63 fof(fact_Suc__le__mono,axiom,
% 202.51/202.63 ! [V_m_2,V_n_2] :
% 202.51/202.63 ( 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)))
% 202.51/202.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2)) ) ).
% 202.51/202.63
% 202.51/202.63 fof(fact_le__SucI,axiom,
% 202.51/202.63 ! [V_n,V_m] :
% 202.51/202.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 202.51/202.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 202.51/202.63
% 202.51/202.63 fof(fact_le__SucE,axiom,
% 202.51/202.63 ! [V_n,V_m] :
% 202.51/202.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)))
% 202.51/202.63 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 202.51/202.63 => V_m = hAPP(c_Nat_OSuc,V_n) ) ) ).
% 202.51/202.63
% 202.51/202.63 fof(fact_Suc__leD,axiom,
% 202.51/202.63 ! [V_n,V_m] :
% 202.51/202.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 202.51/202.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 202.51/202.63
% 202.51/202.63 fof(fact_Suc__inject,axiom,
% 202.51/202.63 ! [V_y,V_x] :
% 202.51/202.63 ( hAPP(c_Nat_OSuc,V_x) = hAPP(c_Nat_OSuc,V_y)
% 202.51/202.63 => V_x = V_y ) ).
% 202.51/202.63
% 202.51/202.63 fof(fact_nat_Oinject,axiom,
% 202.51/202.63 ! [V_nat_H_2,V_nat_2] :
% 202.51/202.63 ( hAPP(c_Nat_OSuc,V_nat_2) = hAPP(c_Nat_OSuc,V_nat_H_2)
% 202.51/202.63 <=> V_nat_2 = V_nat_H_2 ) ).
% 202.51/202.63
% 202.51/202.63 fof(fact_Suc__n__not__n,axiom,
% 202.51/202.63 ! [V_n] : hAPP(c_Nat_OSuc,V_n) != V_n ).
% 202.51/202.63
% 202.51/202.63 fof(fact_n__not__Suc__n,axiom,
% 202.51/202.63 ! [V_n] : V_n != hAPP(c_Nat_OSuc,V_n) ).
% 202.51/202.63
% 202.51/202.63 fof(fact_top1I,axiom,
% 202.51/202.63 ! [V_x_2,T_b] : hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_x_2)) ).
% 202.51/202.63
% 202.51/202.63 fof(fact_UNIV__not__empty,axiom,
% 202.51/202.63 ! [T_b] : c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 202.51/202.63
% 202.51/202.63 fof(fact_le__refl,axiom,
% 202.51/202.63 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_n)) ).
% 202.51/202.63
% 202.51/202.63 fof(fact_nat__le__linear,axiom,
% 202.51/202.63 ! [V_n,V_m] :
% 202.51/202.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 202.51/202.63 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) ) ).
% 202.51/202.63
% 202.51/202.63 fof(fact_eq__imp__le,axiom,
% 202.51/202.63 ! [V_n,V_m] :
% 202.51/202.63 ( V_m = V_n
% 202.51/202.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 202.51/202.63
% 202.51/202.63 fof(fact_le__trans,axiom,
% 202.51/202.63 ! [V_k,V_j,V_i] :
% 202.51/202.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 202.51/202.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_k))
% 202.51/202.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_k)) ) ) ).
% 202.51/202.63
% 202.51/202.63 fof(fact_le__antisym,axiom,
% 202.51/202.63 ! [V_n,V_m] :
% 202.51/202.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 202.51/202.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 202.51/202.63 => V_m = V_n ) ) ).
% 202.51/202.63
% 202.51/202.63 fof(fact_lift__Suc__mono__le,axiom,
% 202.51/202.63 ! [V_n_H_2,V_n_2,V_f_2,T_b] :
% 202.51/202.63 ( class_Orderings_Oorder(T_b)
% 202.51/202.63 => ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,B_n)),hAPP(V_f_2,hAPP(c_Nat_OSuc,B_n))))
% 202.51/202.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_n_H_2))
% 202.51/202.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,V_n_2)),hAPP(V_f_2,V_n_H_2))) ) ) ) ).
% 202.51/202.63
% 202.51/202.63 fof(fact_of__nat__aux_Osimps_I2_J,axiom,
% 202.51/202.63 ! [V_i_2,V_n_2,V_inc_2,T_b] :
% 202.51/202.63 ( class_Rings_Osemiring__1(T_b)
% 202.51/202.63 => c_Nat_Osemiring__1__class_Oof__nat__aux(T_b,V_inc_2,hAPP(c_Nat_OSuc,V_n_2),V_i_2) = c_Nat_Osemiring__1__class_Oof__nat__aux(T_b,V_inc_2,V_n_2,hAPP(V_inc_2,V_i_2)) ) ).
% 202.51/202.63
% 202.51/202.63 fof(fact_Inf__UNIV,axiom,
% 202.51/202.63 ! [T_b] :
% 202.51/202.63 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 202.51/202.63 => c_Complete__Lattice_OInf__class_OInf(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 202.51/202.63
% 202.51/202.63 fof(fact_Inf__empty,axiom,
% 202.51/202.63 ! [T_b] :
% 202.51/202.63 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 202.51/202.63 => c_Complete__Lattice_OInf__class_OInf(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(T_b) ) ).
% 202.51/202.63
% 202.51/202.63 fof(fact_Sup__UNIV,axiom,
% 202.51/202.63 ! [T_b] :
% 202.51/202.63 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 202.51/202.63 => c_Complete__Lattice_OSup__class_OSup(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(T_b) ) ).
% 202.51/202.63
% 202.51/202.63 fof(fact_Sup__empty,axiom,
% 202.51/202.63 ! [T_b] :
% 202.51/202.63 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 202.51/202.63 => c_Complete__Lattice_OSup__class_OSup(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 202.51/202.63
% 202.51/202.63 fof(fact_Pow__mono,axiom,
% 202.51/202.63 ! [V_B_2,V_A_2,T_b] :
% 202.51/202.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 202.51/202.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)),hAPP(c_Set_OPow(T_b),V_B_2))) ) ).
% 202.51/202.63
% 202.51/202.63 fof(fact_greaterThanLessThan__empty,axiom,
% 202.51/202.63 ! [V_k_2,V_l_2,T_b] :
% 202.51/202.63 ( class_Orderings_Oorder(T_b)
% 202.51/202.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_k_2))
% 202.51/202.63 => c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 202.51/202.63
% 202.51/202.63 fof(fact_greaterThanAtMost__empty,axiom,
% 202.51/202.63 ! [V_k_2,V_l_2,T_b] :
% 202.51/202.63 ( class_Orderings_Oorder(T_b)
% 202.51/202.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_k_2))
% 202.51/202.63 => c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 202.51/202.63
% 202.51/202.63 fof(fact_mono__iff__le__Suc,axiom,
% 202.51/202.63 ! [V_f_2,T_b] :
% 202.51/202.63 ( class_Orderings_Oorder(T_b)
% 202.51/202.63 => ( c_Orderings_Oorder__class_Omono(tc_Nat_Onat,T_b,V_f_2)
% 202.51/202.63 <=> ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,B_n)),hAPP(V_f_2,hAPP(c_Nat_OSuc,B_n)))) ) ) ).
% 202.51/202.63
% 202.51/202.63 fof(fact_Suc__le__D,axiom,
% 202.51/202.63 ! [V_m_H,V_n] :
% 202.51/202.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n)),V_m_H))
% 202.51/202.63 => ? [B_m] : V_m_H = hAPP(c_Nat_OSuc,B_m) ) ).
% 202.51/202.63
% 202.51/202.63 fof(fact_Inter__anti__mono,axiom,
% 202.51/202.63 ! [V_A_2,V_B_2,T_b] :
% 202.51/202.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_B_2),V_A_2))
% 202.51/202.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_B_2))) ) ).
% 202.51/202.63
% 202.51/202.63 fof(fact_Pow__not__empty,axiom,
% 202.51/202.63 ! [V_A_2,T_b] : hAPP(c_Set_OPow(T_b),V_A_2) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) ).
% 202.51/202.63
% 202.51/202.63 fof(fact_Union__Pow__eq,axiom,
% 202.51/202.63 ! [V_A_2,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_OPow(T_b),V_A_2)) = V_A_2 ).
% 202.51/202.63
% 202.51/202.63 fof(fact_subset__Pow__Union,axiom,
% 202.51/202.63 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)))) ).
% 202.51/202.63
% 202.51/202.63 fof(fact_Union__empty,axiom,
% 202.51/202.63 ! [T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 202.51/202.63
% 202.51/202.63 fof(fact_Union__UNIV,axiom,
% 202.51/202.63 ! [T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 202.51/202.63
% 202.51/202.63 fof(fact_Inter__UNIV,axiom,
% 202.51/202.63 ! [T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 202.51/202.63
% 202.51/202.63 fof(fact_Inter__empty,axiom,
% 202.51/202.63 ! [T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 202.51/202.63
% 202.51/202.63 fof(fact_Pow__UNIV,axiom,
% 202.51/202.63 ! [T_b] : hAPP(c_Set_OPow(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) ).
% 202.51/202.63
% 202.51/202.63 fof(fact_monoD,axiom,
% 202.51/202.63 ! [V_y_2,V_x_2,V_f_2,T_b,T_c] :
% 202.51/202.63 ( ( class_Orderings_Oorder(T_c)
% 202.51/202.63 & class_Orderings_Oorder(T_b) )
% 202.51/202.63 => ( c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2)
% 202.51/202.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 202.51/202.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))) ) ) ) ).
% 202.51/202.63
% 202.51/202.63 fof(fact_mono__Suc,axiom,
% 202.51/202.63 c_Orderings_Oorder__class_Omono(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc) ).
% 202.51/202.63
% 202.51/202.63 fof(fact_Sup__le__iff,axiom,
% 202.51/202.63 ! [V_b_2,V_A_2,T_b] :
% 202.51/202.63 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 202.51/202.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2)),V_b_2))
% 202.51/202.63 <=> ! [B_x] :
% 202.51/202.63 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 202.51/202.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) ) ) ) ).
% 202.51/202.63
% 202.51/202.63 fof(fact_le__Inf__iff,axiom,
% 202.51/202.63 ! [V_A_2,V_b_2,T_b] :
% 202.51/202.63 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 202.51/202.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2)))
% 202.51/202.63 <=> ! [B_x] :
% 202.51/202.63 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 202.51/202.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) ) ) ) ).
% 202.51/202.63
% 202.51/202.63 fof(fact_strict__mono__mono,axiom,
% 202.51/202.63 ! [V_f_2,T_b,T_c] :
% 202.51/202.63 ( ( class_Orderings_Oorder(T_c)
% 202.51/202.63 & class_Orderings_Oorder(T_b) )
% 202.51/202.63 => ( c_Orderings_Oorder__class_Ostrict__mono(T_b,T_c,V_f_2)
% 202.51/202.63 => c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2) ) ) ).
% 202.51/202.63
% 202.51/202.63 fof(fact_Union__mono,axiom,
% 202.51/202.63 ! [V_B_2,V_A_2,T_b] :
% 202.51/202.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2))
% 202.51/202.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_B_2))) ) ).
% 202.51/202.63
% 202.51/202.63 fof(fact_ivl__disj__int_I5_J,axiom,
% 202.51/202.63 ! [V_u_2,V_l_2,T_b] :
% 202.51/202.63 ( class_Orderings_Oorder(T_b)
% 202.51/202.63 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 202.51/202.63
% 202.51/202.63 fof(fact_ivl__disj__int_I6_J,axiom,
% 202.51/202.63 ! [V_u_2,V_l_2,T_b] :
% 202.51/202.63 ( class_Orderings_Oorder(T_b)
% 202.51/202.63 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 202.51/202.63
% 202.51/202.63 fof(fact_ivl__disj__un_I11_J,axiom,
% 202.51/202.63 ! [V_u_2,V_l_2,T_b] :
% 202.51/202.63 ( class_Orderings_Olinorder(T_b)
% 202.51/202.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 202.51/202.63 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_u_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_l_2) ) ) ).
% 202.51/202.63
% 202.51/202.63 fof(fact_ivl__disj__int_I10_J,axiom,
% 202.51/202.63 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 202.51/202.63 ( class_Orderings_Oorder(T_b)
% 202.51/202.63 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 202.51/202.63
% 202.51/202.63 fof(fact_ivl__disj__int_I1_J,axiom,
% 202.51/202.63 ! [V_u_2,V_l_2,T_b] :
% 202.51/202.63 ( class_Orderings_Oorder(T_b)
% 202.51/202.63 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_l_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 202.51/202.63
% 202.51/202.63 fof(fact_ivl__disj__int_I3_J,axiom,
% 202.51/202.63 ! [V_u_2,V_l_2,T_b] :
% 202.51/202.63 ( class_Orderings_Oorder(T_b)
% 202.51/202.63 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_l_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 202.51/202.63
% 202.51/202.63 fof(fact_ivl__disj__un_I9_J,axiom,
% 202.51/202.63 ! [V_u_2,V_l_2,T_b] :
% 202.51/202.63 ( class_Orderings_Olinorder(T_b)
% 202.51/202.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 202.51/202.63 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_l_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_u_2) ) ) ).
% 202.51/202.63
% 202.51/202.64 fof(fact_PowI,axiom,
% 202.51/202.64 ! [V_B_2,V_A_2,T_b] :
% 202.51/202.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 202.51/202.64 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2))) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_monoI,axiom,
% 202.51/202.64 ! [V_f_2,T_b,T_c] :
% 202.51/202.64 ( ( class_Orderings_Oorder(T_c)
% 202.51/202.64 & class_Orderings_Oorder(T_b) )
% 202.51/202.64 => ( ! [B_x,B_y] :
% 202.51/202.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_y))
% 202.51/202.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_x)),hAPP(V_f_2,B_y))) )
% 202.51/202.64 => c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2) ) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_nat__case__Suc,axiom,
% 202.51/202.64 ! [V_nat_2,V_f2_2,V_f1_2,T_b] : c_Nat_Onat_Onat__case(T_b,V_f1_2,V_f2_2,hAPP(c_Nat_OSuc,V_nat_2)) = hAPP(V_f2_2,V_nat_2) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_atLeastLessThan__subset__iff,axiom,
% 202.51/202.64 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 202.51/202.64 ( class_Orderings_Olinorder(T_b)
% 202.51/202.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_c_2),V_d_2)))
% 202.51/202.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2))
% 202.51/202.64 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2))
% 202.51/202.64 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2)) ) ) ) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_Compl__greaterThan,axiom,
% 202.51/202.64 ! [V_k_2,T_b] :
% 202.51/202.64 ( class_Orderings_Olinorder(T_b)
% 202.51/202.64 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_k_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_k_2) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_equalityCE,axiom,
% 202.51/202.64 ! [V_c_2,T_b,V_B_2,V_A_2] :
% 202.51/202.64 ( V_A_2 = V_B_2
% 202.51/202.64 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 202.51/202.64 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) )
% 202.51/202.64 => ~ ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 202.51/202.64 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_sup1CI,axiom,
% 202.51/202.64 ! [T_b,V_A_2,V_x_2,V_B_2] :
% 202.51/202.64 ( ( ~ hBOOL(hAPP(V_B_2,V_x_2))
% 202.51/202.64 => hBOOL(hAPP(V_A_2,V_x_2)) )
% 202.51/202.64 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_sup1E,axiom,
% 202.51/202.64 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 202.51/202.64 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2))
% 202.51/202.64 => ( ~ hBOOL(hAPP(V_A_2,V_x_2))
% 202.51/202.64 => hBOOL(hAPP(V_B_2,V_x_2)) ) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_inf1E,axiom,
% 202.51/202.64 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 202.51/202.64 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2))
% 202.51/202.64 => ~ ( hBOOL(hAPP(V_A_2,V_x_2))
% 202.51/202.64 => ~ hBOOL(hAPP(V_B_2,V_x_2)) ) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_inf1I,axiom,
% 202.51/202.64 ! [T_b,V_B_2,V_x_2,V_A_2] :
% 202.51/202.64 ( hBOOL(hAPP(V_A_2,V_x_2))
% 202.51/202.64 => ( hBOOL(hAPP(V_B_2,V_x_2))
% 202.51/202.64 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_emptyE,axiom,
% 202.51/202.64 ! [V_a_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_subsetD,axiom,
% 202.51/202.64 ! [V_c_2,V_B_2,V_A_2,T_b] :
% 202.51/202.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 202.51/202.64 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 202.51/202.64 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_UNIV__I,axiom,
% 202.51/202.64 ! [V_x_2,T_b] : hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_UnCI,axiom,
% 202.51/202.64 ! [V_A_2,V_B_2,V_c_2,T_b] :
% 202.51/202.64 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2))
% 202.51/202.64 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) )
% 202.51/202.64 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_UnE,axiom,
% 202.51/202.64 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 202.51/202.64 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 202.51/202.64 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 202.51/202.64 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_IntE,axiom,
% 202.51/202.64 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 202.51/202.64 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 202.51/202.64 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 202.51/202.64 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_IntI,axiom,
% 202.51/202.64 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 202.51/202.64 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 202.51/202.64 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2))
% 202.51/202.64 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_ComplI,axiom,
% 202.51/202.64 ! [V_A_2,V_c_2,T_b] :
% 202.51/202.64 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 202.51/202.64 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_UnionI,axiom,
% 202.51/202.64 ! [V_A_2,V_C_2,V_X_2,T_b] :
% 202.51/202.64 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2))
% 202.51/202.64 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2))
% 202.51/202.64 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2))) ) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_InterE,axiom,
% 202.51/202.64 ! [V_X_2,V_C_2,V_A_2,T_b] :
% 202.51/202.64 ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_C_2)))
% 202.51/202.64 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2))
% 202.51/202.64 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) ) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_InterD,axiom,
% 202.51/202.64 ! [V_X_2,V_C_2,V_A_2,T_b] :
% 202.51/202.64 ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_C_2)))
% 202.51/202.64 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2))
% 202.51/202.64 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) ) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_Union__Un__distrib,axiom,
% 202.51/202.64 ! [V_B_2,V_A_2,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_B_2)) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_inf1D2,axiom,
% 202.51/202.64 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 202.51/202.64 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2))
% 202.51/202.64 => hBOOL(hAPP(V_B_2,V_x_2)) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_inf1D1,axiom,
% 202.51/202.64 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 202.51/202.64 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2))
% 202.51/202.64 => hBOOL(hAPP(V_A_2,V_x_2)) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_IntD2,axiom,
% 202.51/202.64 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 202.51/202.64 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 202.51/202.64 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_IntD1,axiom,
% 202.51/202.64 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 202.51/202.64 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 202.51/202.64 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_ComplE,axiom,
% 202.51/202.64 ! [V_A_2,V_c_2,T_b] :
% 202.51/202.64 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)))
% 202.51/202.64 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_ComplD,axiom,
% 202.51/202.64 ! [V_A_2,V_c_2,T_b] :
% 202.51/202.64 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)))
% 202.51/202.64 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_eq__mem__trans,axiom,
% 202.51/202.64 ! [V_A_2,T_b,V_b_2,V_a_2] :
% 202.51/202.64 ( V_a_2 = V_b_2
% 202.51/202.64 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 202.51/202.64 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_eqelem__imp__iff,axiom,
% 202.51/202.64 ! [V_A_2,T_b,V_y_2,V_x_2] :
% 202.51/202.64 ( V_x_2 = V_y_2
% 202.51/202.64 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.51/202.64 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_eqset__imp__iff,axiom,
% 202.51/202.64 ! [V_x_2,T_b,V_B_2,V_A_2] :
% 202.51/202.64 ( V_A_2 = V_B_2
% 202.51/202.64 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.51/202.64 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_UnI2,axiom,
% 202.51/202.64 ! [V_A_2,V_B_2,V_c_2,T_b] :
% 202.51/202.64 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2))
% 202.51/202.64 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_UnI1,axiom,
% 202.51/202.64 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 202.51/202.64 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 202.51/202.64 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_sup1I2,axiom,
% 202.51/202.64 ! [V_A_2,T_b,V_x_2,V_B_2] :
% 202.51/202.64 ( hBOOL(hAPP(V_B_2,V_x_2))
% 202.51/202.64 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_sup1I1,axiom,
% 202.51/202.64 ! [V_B_2,T_b,V_x_2,V_A_2] :
% 202.51/202.64 ( hBOOL(hAPP(V_A_2,V_x_2))
% 202.51/202.64 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_Un__Int__crazy,axiom,
% 202.51/202.64 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_ball__Un,axiom,
% 202.51/202.64 ! [V_P_2,V_B_2,V_A_2,T_b] :
% 202.51/202.64 ( ! [B_x] :
% 202.51/202.64 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 202.51/202.64 => hBOOL(hAPP(V_P_2,B_x)) )
% 202.51/202.64 <=> ( ! [B_x] :
% 202.51/202.64 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 202.51/202.64 => hBOOL(hAPP(V_P_2,B_x)) )
% 202.51/202.64 & ! [B_x] :
% 202.51/202.64 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2))
% 202.51/202.64 => hBOOL(hAPP(V_P_2,B_x)) ) ) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_bex__Un,axiom,
% 202.51/202.64 ! [V_P_2,V_B_2,V_A_2,T_b] :
% 202.51/202.64 ( ? [B_x] :
% 202.51/202.64 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 202.51/202.64 & hBOOL(hAPP(V_P_2,B_x)) )
% 202.51/202.64 <=> ( ? [B_x] :
% 202.51/202.64 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 202.51/202.64 & hBOOL(hAPP(V_P_2,B_x)) )
% 202.51/202.64 | ? [B_x] :
% 202.51/202.64 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2))
% 202.51/202.64 & hBOOL(hAPP(V_P_2,B_x)) ) ) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_Un__Int__distrib2,axiom,
% 202.51/202.64 ! [V_A_2,V_C_2,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_Int__Un__distrib2,axiom,
% 202.51/202.64 ! [V_A_2,V_C_2,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_Un__assoc,axiom,
% 202.51/202.64 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_Int__assoc,axiom,
% 202.51/202.64 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_Compl__eq__Compl__iff,axiom,
% 202.51/202.64 ! [V_B_2,V_A_2,T_b] :
% 202.51/202.64 ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)
% 202.51/202.64 <=> V_A_2 = V_B_2 ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_Un__Int__distrib,axiom,
% 202.51/202.64 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_Int__Un__distrib,axiom,
% 202.51/202.64 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_Un__iff,axiom,
% 202.51/202.64 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 202.51/202.64 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 202.51/202.64 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 202.51/202.64 | hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_Int__iff,axiom,
% 202.51/202.64 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 202.51/202.64 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 202.51/202.64 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 202.51/202.64 & hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_Un__left__commute,axiom,
% 202.51/202.64 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_Int__left__commute,axiom,
% 202.51/202.64 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_Un__left__absorb,axiom,
% 202.51/202.64 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_Int__left__absorb,axiom,
% 202.51/202.64 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_eq__mem,axiom,
% 202.51/202.64 ! [V_y_2,V_x_2,T_b] :
% 202.51/202.64 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_fequal,V_y_2)))
% 202.51/202.64 <=> V_x_2 = V_y_2 ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_Compl__iff,axiom,
% 202.51/202.64 ! [V_A_2,V_c_2,T_b] :
% 202.51/202.64 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)))
% 202.51/202.64 <=> ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_Un__commute,axiom,
% 202.51/202.64 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_Int__commute,axiom,
% 202.51/202.64 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_mem__def,axiom,
% 202.51/202.64 ! [V_A_2,V_x_2,T_b] :
% 202.51/202.64 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.51/202.64 <=> hBOOL(hAPP(V_A_2,V_x_2)) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_Un__absorb,axiom,
% 202.51/202.64 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_A_2) = V_A_2 ).
% 202.51/202.64
% 202.51/202.64 fof(fact_Int__absorb,axiom,
% 202.51/202.64 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_A_2) = V_A_2 ).
% 202.51/202.64
% 202.51/202.64 fof(fact_Compl__Un,axiom,
% 202.51/202.64 ! [V_B_2,V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_Compl__Int,axiom,
% 202.51/202.64 ! [V_B_2,V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_double__complement,axiom,
% 202.51/202.64 ! [V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) = V_A_2 ).
% 202.51/202.64
% 202.51/202.64 fof(fact_Compl__disjoint,axiom,
% 202.51/202.64 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_Compl__disjoint2,axiom,
% 202.51/202.64 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_Compl__partition,axiom,
% 202.51/202.64 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_Compl__partition2,axiom,
% 202.51/202.64 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_Un__Int__assoc__eq,axiom,
% 202.51/202.64 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 202.51/202.64 ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 202.51/202.64 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_Union__Int__subset,axiom,
% 202.51/202.64 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_B_2)))) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_ivl__disj__un_I17_J,axiom,
% 202.51/202.64 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 202.51/202.64 ( class_Orderings_Olinorder(T_b)
% 202.51/202.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 202.51/202.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 202.51/202.64 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_m_2),V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2) ) ) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_ivl__disj__int_I11_J,axiom,
% 202.51/202.64 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 202.51/202.64 ( class_Orderings_Oorder(T_b)
% 202.51/202.64 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_m_2),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_mono__Un,axiom,
% 202.51/202.64 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 202.51/202.64 ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),V_f_2)
% 202.51/202.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_f_2,V_A_2)),hAPP(V_f_2,V_B_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)))) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_mono__Int,axiom,
% 202.51/202.64 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 202.51/202.64 ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),V_f_2)
% 202.51/202.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),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(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_f_2,V_A_2)),hAPP(V_f_2,V_B_2)))) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_Pow__Int__eq,axiom,
% 202.51/202.64 ! [V_B_2,V_A_2,T_b] : hAPP(c_Set_OPow(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)),hAPP(c_Set_OPow(T_b),V_B_2)) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_Inter__Un__distrib,axiom,
% 202.51/202.64 ! [V_B_2,V_A_2,T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_B_2)) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_disjoint__eq__subset__Compl,axiom,
% 202.51/202.64 ! [V_B_2,V_A_2,T_b] :
% 202.51/202.64 ( 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))
% 202.51/202.64 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2))) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_Inter__Un__subset,axiom,
% 202.51/202.64 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_B_2))),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_atLeastSucLessThan__greaterThanLessThan,axiom,
% 202.51/202.64 ! [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) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_ivl__disj__un_I8_J,axiom,
% 202.51/202.64 ! [V_u_2,V_l_2,T_b] :
% 202.51/202.64 ( class_Orderings_Olinorder(T_b)
% 202.51/202.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 202.51/202.64 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_l_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_u_2) ) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_Compl__anti__mono,axiom,
% 202.51/202.64 ! [V_B_2,V_A_2,T_b] :
% 202.51/202.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 202.51/202.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_Compl__subset__Compl__iff,axiom,
% 202.51/202.64 ! [V_B_2,V_A_2,T_b] :
% 202.51/202.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)))
% 202.51/202.64 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_Un__empty__left,axiom,
% 202.51/202.64 ! [V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_B_2) = V_B_2 ).
% 202.51/202.64
% 202.51/202.64 fof(fact_Un__empty__right,axiom,
% 202.51/202.64 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = V_A_2 ).
% 202.51/202.64
% 202.51/202.64 fof(fact_Un__empty,axiom,
% 202.51/202.64 ! [V_B_2,V_A_2,T_b] :
% 202.51/202.64 ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.51/202.64 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.51/202.64 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_Int__empty__left,axiom,
% 202.51/202.64 ! [V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_Int__empty__right,axiom,
% 202.51/202.64 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_disjoint__iff__not__equal,axiom,
% 202.51/202.64 ! [V_B_2,V_A_2,T_b] :
% 202.51/202.64 ( 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))
% 202.51/202.64 <=> ! [B_x] :
% 202.51/202.64 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 202.51/202.64 => ! [B_xa] :
% 202.51/202.64 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_B_2))
% 202.51/202.64 => B_x != B_xa ) ) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_Union__disjoint,axiom,
% 202.51/202.64 ! [V_A_2,V_C_2,T_b] :
% 202.51/202.64 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.51/202.64 <=> ! [B_x] :
% 202.51/202.64 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_C_2))
% 202.51/202.64 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),B_x),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_ivl__disj__int_I2_J,axiom,
% 202.51/202.64 ! [V_u_2,V_l_2,T_b] :
% 202.51/202.64 ( class_Orderings_Oorder(T_b)
% 202.51/202.64 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_l_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_ivl__disj__un_I14_J,axiom,
% 202.51/202.64 ! [V_u_2,V_l_2,T_b] :
% 202.51/202.64 ( class_Orderings_Olinorder(T_b)
% 202.51/202.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 202.51/202.64 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_l_2) ) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_ivl__disj__int_I9_J,axiom,
% 202.51/202.64 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 202.51/202.64 ( class_Orderings_Oorder(T_b)
% 202.51/202.64 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_m_2),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_Un__mono,axiom,
% 202.51/202.64 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_b] :
% 202.51/202.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 202.51/202.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2))
% 202.51/202.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2))) ) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_Un__least,axiom,
% 202.51/202.64 ! [V_B_2,V_C_2,V_A_2,T_b] :
% 202.51/202.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 202.51/202.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 202.51/202.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2)) ) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_Un__absorb2,axiom,
% 202.51/202.64 ! [V_A_2,V_B_2,T_b] :
% 202.51/202.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 202.51/202.64 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_Un__absorb1,axiom,
% 202.51/202.64 ! [V_B_2,V_A_2,T_b] :
% 202.51/202.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 202.51/202.64 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_subset__Un__eq,axiom,
% 202.51/202.64 ! [V_B_2,V_A_2,T_b] :
% 202.51/202.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 202.51/202.64 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_Un__upper2,axiom,
% 202.51/202.64 ! [V_A_2,V_B_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_Un__upper1,axiom,
% 202.51/202.64 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_Un__UNIV__left,axiom,
% 202.51/202.64 ! [V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_B_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_Un__UNIV__right,axiom,
% 202.51/202.64 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_Int__mono,axiom,
% 202.51/202.64 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_b] :
% 202.51/202.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 202.51/202.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2))
% 202.51/202.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2))) ) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_Int__greatest,axiom,
% 202.51/202.64 ! [V_B_2,V_A_2,V_C_2,T_b] :
% 202.51/202.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2))
% 202.51/202.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2))
% 202.51/202.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_Int__absorb1,axiom,
% 202.51/202.64 ! [V_A_2,V_B_2,T_b] :
% 202.51/202.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 202.51/202.64 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_Int__absorb2,axiom,
% 202.51/202.64 ! [V_B_2,V_A_2,T_b] :
% 202.51/202.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 202.51/202.64 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_Int__lower2,axiom,
% 202.51/202.64 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_B_2)) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_Int__lower1,axiom,
% 202.51/202.64 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_A_2)) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_Int__UNIV__left,axiom,
% 202.51/202.64 ! [V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_B_2) = V_B_2 ).
% 202.51/202.64
% 202.51/202.64 fof(fact_Int__UNIV__right,axiom,
% 202.51/202.64 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = V_A_2 ).
% 202.51/202.64
% 202.51/202.64 fof(fact_ivl__disj__int_I8_J,axiom,
% 202.51/202.64 ! [V_u_2,V_l_2,T_b] :
% 202.51/202.64 ( class_Orderings_Oorder(T_b)
% 202.51/202.64 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_all__not__in__conv,axiom,
% 202.51/202.64 ! [V_A_2,T_b] :
% 202.51/202.64 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 202.51/202.64 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_ex__in__conv,axiom,
% 202.51/202.64 ! [V_A_2,T_b] :
% 202.51/202.64 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 202.51/202.64 <=> V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_empty__iff,axiom,
% 202.51/202.64 ! [V_c_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_equals0D,axiom,
% 202.51/202.64 ! [V_a_2,T_b,V_A_2] :
% 202.51/202.64 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.51/202.64 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_set__mp,axiom,
% 202.51/202.64 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 202.51/202.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 202.51/202.64 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.51/202.64 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_set__rev__mp,axiom,
% 202.51/202.64 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 202.51/202.64 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.51/202.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 202.51/202.64 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_in__mono,axiom,
% 202.51/202.64 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 202.51/202.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 202.51/202.64 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.51/202.64 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_Un__Pow__subset,axiom,
% 202.51/202.64 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)),hAPP(c_Set_OPow(T_b),V_B_2))),hAPP(c_Set_OPow(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_Union__upper,axiom,
% 202.51/202.64 ! [V_A_2,V_B_2,T_b] :
% 202.51/202.64 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 202.51/202.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2))) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_Pow__top,axiom,
% 202.51/202.64 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_A_2))) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_subset__Compl__self__eq,axiom,
% 202.51/202.64 ! [V_A_2,T_b] :
% 202.51/202.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)))
% 202.51/202.64 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_Compl__empty__eq,axiom,
% 202.51/202.64 ! [T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_Compl__UNIV__eq,axiom,
% 202.51/202.64 ! [T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_Sup__upper,axiom,
% 202.51/202.64 ! [V_A_2,V_x_2,T_b] :
% 202.51/202.64 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 202.51/202.64 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.51/202.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2))) ) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_ivl__disj__un_I20_J,axiom,
% 202.51/202.64 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 202.51/202.64 ( class_Orderings_Olinorder(T_b)
% 202.51/202.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 202.51/202.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 202.51/202.64 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2) ) ) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_Inf__lower,axiom,
% 202.51/202.64 ! [V_A_2,V_x_2,T_b] :
% 202.51/202.64 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 202.51/202.64 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.51/202.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2)),V_x_2)) ) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_ivl__disj__int_I14_J,axiom,
% 202.51/202.64 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 202.51/202.64 ( class_Orderings_Oorder(T_b)
% 202.51/202.64 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_atMost__iff,axiom,
% 202.51/202.64 ! [V_k_2,V_i_2,T_b] :
% 202.51/202.64 ( class_Orderings_Oord(T_b)
% 202.51/202.64 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_k_2)))
% 202.51/202.64 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_i_2),V_k_2)) ) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_Pow__bottom,axiom,
% 202.51/202.64 ! [V_B_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),hAPP(c_Set_OPow(T_b),V_B_2))) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_atLeast__iff,axiom,
% 202.51/202.64 ! [V_k_2,V_i_2,T_b] :
% 202.51/202.64 ( class_Orderings_Oord(T_b)
% 202.51/202.64 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_k_2)))
% 202.51/202.64 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_k_2),V_i_2)) ) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_Pow__iff,axiom,
% 202.51/202.64 ! [V_B_2,V_A_2,T_b] :
% 202.51/202.64 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2)))
% 202.51/202.64 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_PowD,axiom,
% 202.51/202.64 ! [V_B_2,V_A_2,T_b] :
% 202.51/202.64 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2)))
% 202.51/202.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_Inter__lower,axiom,
% 202.51/202.64 ! [V_A_2,V_B_2,T_b] :
% 202.51/202.64 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 202.51/202.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2)),V_B_2)) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_Compl__atLeast,axiom,
% 202.51/202.64 ! [V_k_2,T_b] :
% 202.51/202.64 ( class_Orderings_Olinorder(T_b)
% 202.51/202.64 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_k_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_Compl__lessThan,axiom,
% 202.51/202.64 ! [V_k_2,T_b] :
% 202.51/202.64 ( class_Orderings_Olinorder(T_b)
% 202.51/202.64 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_k_2) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_atLeastLessThan__empty,axiom,
% 202.51/202.64 ! [V_a_2,V_b_2,T_b] :
% 202.51/202.64 ( class_Orderings_Oorder(T_b)
% 202.51/202.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2))
% 202.51/202.64 => hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_Compl__atMost,axiom,
% 202.51/202.64 ! [V_k_2,T_b] :
% 202.51/202.64 ( class_Orderings_Olinorder(T_b)
% 202.51/202.64 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_k_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_k_2) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_compl__unique,axiom,
% 202.51/202.64 ! [V_y,V_x,T_a] :
% 202.51/202.64 ( class_Lattices_Oboolean__algebra(T_a)
% 202.51/202.64 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = c_Orderings_Obot__class_Obot(T_a)
% 202.51/202.64 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = c_Orderings_Otop__class_Otop(T_a)
% 202.51/202.64 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x) = V_y ) ) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_mono__inf,axiom,
% 202.51/202.64 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] :
% 202.51/202.64 ( ( class_Lattices_Osemilattice__inf(T_c)
% 202.51/202.64 & class_Lattices_Osemilattice__inf(T_b) )
% 202.51/202.64 => ( c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2)
% 202.51/202.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_c),hAPP(V_f_2,V_A_2)),hAPP(V_f_2,V_B_2)))) ) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_mono__sup,axiom,
% 202.51/202.64 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] :
% 202.51/202.64 ( ( class_Lattices_Osemilattice__sup(T_c)
% 202.51/202.64 & class_Lattices_Osemilattice__sup(T_b) )
% 202.51/202.64 => ( c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2)
% 202.51/202.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_c),hAPP(V_f_2,V_A_2)),hAPP(V_f_2,V_B_2))),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_A_2),V_B_2)))) ) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_sup__compl__top,axiom,
% 202.51/202.64 ! [V_x,T_a] :
% 202.51/202.64 ( class_Lattices_Oboolean__algebra(T_a)
% 202.51/202.64 => 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) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_compl__sup__top,axiom,
% 202.51/202.64 ! [V_x,T_a] :
% 202.51/202.64 ( class_Lattices_Oboolean__algebra(T_a)
% 202.51/202.64 => 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) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_compl__inf,axiom,
% 202.51/202.64 ! [V_y,V_x,T_a] :
% 202.51/202.64 ( class_Lattices_Oboolean__algebra(T_a)
% 202.51/202.64 => 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)) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_compl__sup,axiom,
% 202.51/202.64 ! [V_y,V_x,T_a] :
% 202.51/202.64 ( class_Lattices_Oboolean__algebra(T_a)
% 202.51/202.64 => 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)) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_compl__bot__eq,axiom,
% 202.51/202.64 ! [T_a] :
% 202.51/202.64 ( class_Lattices_Oboolean__algebra(T_a)
% 202.51/202.64 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Obot__class_Obot(T_a)) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_compl__top__eq,axiom,
% 202.51/202.64 ! [T_a] :
% 202.51/202.64 ( class_Lattices_Oboolean__algebra(T_a)
% 202.51/202.64 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Otop__class_Otop(T_a)) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_inf__compl__bot,axiom,
% 202.51/202.64 ! [V_x,T_a] :
% 202.51/202.64 ( class_Lattices_Oboolean__algebra(T_a)
% 202.51/202.64 => 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) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_compl__inf__bot,axiom,
% 202.51/202.64 ! [V_x,T_a] :
% 202.51/202.64 ( class_Lattices_Oboolean__algebra(T_a)
% 202.51/202.64 => 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) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_sup__assoc,axiom,
% 202.51/202.64 ! [V_z,V_y,V_x,T_a] :
% 202.51/202.64 ( class_Lattices_Osemilattice__sup(T_a)
% 202.51/202.64 => 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)) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_inf__sup__aci_I6_J,axiom,
% 202.51/202.64 ! [V_z,V_y,V_x,T_a] :
% 202.51/202.64 ( class_Lattices_Olattice(T_a)
% 202.51/202.64 => 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)) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_sup_Oassoc,axiom,
% 202.51/202.64 ! [V_c,V_b,V_a,T_a] :
% 202.51/202.64 ( class_Lattices_Osemilattice__sup(T_a)
% 202.51/202.64 => 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)) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_sup__left__commute,axiom,
% 202.51/202.64 ! [V_z,V_y,V_x,T_a] :
% 202.51/202.64 ( class_Lattices_Osemilattice__sup(T_a)
% 202.51/202.64 => 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)) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_inf__sup__aci_I7_J,axiom,
% 202.51/202.64 ! [V_z,V_y,V_x,T_a] :
% 202.51/202.64 ( class_Lattices_Olattice(T_a)
% 202.51/202.64 => 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)) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_sup_Oleft__commute,axiom,
% 202.51/202.64 ! [V_c,V_a,V_b,T_a] :
% 202.51/202.64 ( class_Lattices_Osemilattice__sup(T_a)
% 202.51/202.64 => 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)) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_sup__left__idem,axiom,
% 202.51/202.64 ! [V_y,V_x,T_a] :
% 202.51/202.64 ( class_Lattices_Osemilattice__sup(T_a)
% 202.51/202.64 => 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) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_inf__sup__aci_I8_J,axiom,
% 202.51/202.64 ! [V_y,V_x,T_a] :
% 202.51/202.64 ( class_Lattices_Olattice(T_a)
% 202.51/202.64 => 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) ) ).
% 202.51/202.64
% 202.51/202.64 fof(fact_sup_Oleft__idem,axiom,
% 202.51/202.65 ! [V_b,V_a,T_a] :
% 202.51/202.65 ( class_Lattices_Osemilattice__sup(T_a)
% 202.51/202.65 => 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) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_sup__commute,axiom,
% 202.51/202.65 ! [V_y,V_x,T_a] :
% 202.51/202.65 ( class_Lattices_Osemilattice__sup(T_a)
% 202.51/202.65 => 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) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_inf__sup__aci_I5_J,axiom,
% 202.51/202.65 ! [V_y,V_x,T_a] :
% 202.51/202.65 ( class_Lattices_Olattice(T_a)
% 202.51/202.65 => 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) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_sup_Ocommute,axiom,
% 202.51/202.65 ! [V_b,V_a,T_a] :
% 202.51/202.65 ( class_Lattices_Osemilattice__sup(T_a)
% 202.51/202.65 => 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) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_sup__idem,axiom,
% 202.51/202.65 ! [V_x,T_a] :
% 202.51/202.65 ( class_Lattices_Osemilattice__sup(T_a)
% 202.51/202.65 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_sup_Oidem,axiom,
% 202.51/202.65 ! [V_a,T_a] :
% 202.51/202.65 ( class_Lattices_Osemilattice__sup(T_a)
% 202.51/202.65 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_a) = V_a ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_inf__assoc,axiom,
% 202.51/202.65 ! [V_z,V_y,V_x,T_a] :
% 202.51/202.65 ( class_Lattices_Osemilattice__inf(T_a)
% 202.51/202.65 => 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)) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_inf__sup__aci_I2_J,axiom,
% 202.51/202.65 ! [V_z,V_y,V_x,T_a] :
% 202.51/202.65 ( class_Lattices_Olattice(T_a)
% 202.51/202.65 => 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)) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_inf_Oassoc,axiom,
% 202.51/202.65 ! [V_c,V_b,V_a,T_a] :
% 202.51/202.65 ( class_Lattices_Osemilattice__inf(T_a)
% 202.51/202.65 => 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)) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_inf__left__commute,axiom,
% 202.51/202.65 ! [V_z,V_y,V_x,T_a] :
% 202.51/202.65 ( class_Lattices_Osemilattice__inf(T_a)
% 202.51/202.65 => 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)) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_inf__sup__aci_I3_J,axiom,
% 202.51/202.65 ! [V_z,V_y,V_x,T_a] :
% 202.51/202.65 ( class_Lattices_Olattice(T_a)
% 202.51/202.65 => 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)) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_inf_Oleft__commute,axiom,
% 202.51/202.65 ! [V_c,V_a,V_b,T_a] :
% 202.51/202.65 ( class_Lattices_Osemilattice__inf(T_a)
% 202.51/202.65 => 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)) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_inf__left__idem,axiom,
% 202.51/202.65 ! [V_y,V_x,T_a] :
% 202.51/202.65 ( class_Lattices_Osemilattice__inf(T_a)
% 202.51/202.65 => 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) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_inf__sup__aci_I4_J,axiom,
% 202.51/202.65 ! [V_y,V_x,T_a] :
% 202.51/202.65 ( class_Lattices_Olattice(T_a)
% 202.51/202.65 => 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) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_inf_Oleft__idem,axiom,
% 202.51/202.65 ! [V_b,V_a,T_a] :
% 202.51/202.65 ( class_Lattices_Osemilattice__inf(T_a)
% 202.51/202.65 => 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) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_inf__commute,axiom,
% 202.51/202.65 ! [V_y,V_x,T_a] :
% 202.51/202.65 ( class_Lattices_Osemilattice__inf(T_a)
% 202.51/202.65 => 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) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_inf__sup__aci_I1_J,axiom,
% 202.51/202.65 ! [V_y,V_x,T_a] :
% 202.51/202.65 ( class_Lattices_Olattice(T_a)
% 202.51/202.65 => 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) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_inf_Ocommute,axiom,
% 202.51/202.65 ! [V_b,V_a,T_a] :
% 202.51/202.65 ( class_Lattices_Osemilattice__inf(T_a)
% 202.51/202.65 => 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) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_inf__idem,axiom,
% 202.51/202.65 ! [V_x,T_a] :
% 202.51/202.65 ( class_Lattices_Osemilattice__inf(T_a)
% 202.51/202.65 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_inf_Oidem,axiom,
% 202.51/202.65 ! [V_a,T_a] :
% 202.51/202.65 ( class_Lattices_Osemilattice__inf(T_a)
% 202.51/202.65 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_a) = V_a ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_compl__eq__compl__iff,axiom,
% 202.51/202.65 ! [V_y_2,V_x_2,T_b] :
% 202.51/202.65 ( class_Lattices_Oboolean__algebra(T_b)
% 202.51/202.65 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2)
% 202.51/202.65 <=> V_x_2 = V_y_2 ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_double__compl,axiom,
% 202.51/202.65 ! [V_x,T_a] :
% 202.51/202.65 ( class_Lattices_Oboolean__algebra(T_a)
% 202.51/202.65 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)) = V_x ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_inf__sup__ord_I3_J,axiom,
% 202.51/202.65 ! [V_y,V_x,T_a] :
% 202.51/202.65 ( class_Lattices_Olattice(T_a)
% 202.51/202.65 => 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))) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_sup__ge1,axiom,
% 202.51/202.65 ! [V_y,V_x,T_a] :
% 202.51/202.65 ( class_Lattices_Osemilattice__sup(T_a)
% 202.51/202.65 => 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))) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_inf__sup__ord_I4_J,axiom,
% 202.51/202.65 ! [V_x,V_y,T_a] :
% 202.51/202.65 ( class_Lattices_Olattice(T_a)
% 202.51/202.65 => 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))) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_sup__ge2,axiom,
% 202.51/202.65 ! [V_x,V_y,T_a] :
% 202.51/202.65 ( class_Lattices_Osemilattice__sup(T_a)
% 202.51/202.65 => 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))) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_le__iff__sup,axiom,
% 202.51/202.65 ! [V_y_2,V_x_2,T_b] :
% 202.51/202.65 ( class_Lattices_Osemilattice__sup(T_b)
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 202.51/202.65 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2) = V_y_2 ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_le__sup__iff,axiom,
% 202.51/202.65 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 202.51/202.65 ( class_Lattices_Osemilattice__sup(T_b)
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2)),V_z_2))
% 202.51/202.65 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2))
% 202.51/202.65 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_le__supI1,axiom,
% 202.51/202.65 ! [V_b,V_a,V_x,T_a] :
% 202.51/202.65 ( class_Lattices_Osemilattice__sup(T_a)
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 202.51/202.65 => 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))) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_le__supI2,axiom,
% 202.51/202.65 ! [V_a,V_b,V_x,T_a] :
% 202.51/202.65 ( class_Lattices_Osemilattice__sup(T_a)
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 202.51/202.65 => 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))) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_sup__absorb2,axiom,
% 202.51/202.65 ! [V_y,V_x,T_a] :
% 202.51/202.65 ( class_Lattices_Osemilattice__sup(T_a)
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 202.51/202.65 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_y ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_sup__absorb1,axiom,
% 202.51/202.65 ! [V_x,V_y,T_a] :
% 202.51/202.65 ( class_Lattices_Osemilattice__sup(T_a)
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 202.51/202.65 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_x ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_le__supI,axiom,
% 202.51/202.65 ! [V_b,V_x,V_a,T_a] :
% 202.51/202.65 ( class_Lattices_Osemilattice__sup(T_a)
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 202.51/202.65 => 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)) ) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_sup__least,axiom,
% 202.51/202.65 ! [V_z,V_x,V_y,T_a] :
% 202.51/202.65 ( class_Lattices_Osemilattice__sup(T_a)
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x))
% 202.51/202.65 => 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)) ) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_sup__mono,axiom,
% 202.51/202.65 ! [V_d,V_b,V_c,V_a,T_a] :
% 202.51/202.65 ( class_Lattices_Osemilattice__sup(T_a)
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 202.51/202.65 => 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))) ) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_le__supE,axiom,
% 202.51/202.65 ! [V_x,V_b,V_a,T_a] :
% 202.51/202.65 ( class_Lattices_Osemilattice__sup(T_a)
% 202.51/202.65 => ( 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))
% 202.51/202.65 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 202.51/202.65 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_inf__sup__ord_I1_J,axiom,
% 202.51/202.65 ! [V_y,V_x,T_a] :
% 202.51/202.65 ( class_Lattices_Olattice(T_a)
% 202.51/202.65 => 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)) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_inf__le1,axiom,
% 202.51/202.65 ! [V_y,V_x,T_a] :
% 202.51/202.65 ( class_Lattices_Osemilattice__inf(T_a)
% 202.51/202.65 => 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)) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_inf__sup__ord_I2_J,axiom,
% 202.51/202.65 ! [V_y,V_x,T_a] :
% 202.51/202.65 ( class_Lattices_Olattice(T_a)
% 202.51/202.65 => 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)) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_inf__le2,axiom,
% 202.51/202.65 ! [V_y,V_x,T_a] :
% 202.51/202.65 ( class_Lattices_Osemilattice__inf(T_a)
% 202.51/202.65 => 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)) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_le__iff__inf,axiom,
% 202.51/202.65 ! [V_y_2,V_x_2,T_b] :
% 202.51/202.65 ( class_Lattices_Osemilattice__inf(T_b)
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 202.51/202.65 <=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_y_2) = V_x_2 ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_le__inf__iff,axiom,
% 202.51/202.65 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 202.51/202.65 ( class_Lattices_Osemilattice__inf(T_b)
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_y_2),V_z_2)))
% 202.51/202.65 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 202.51/202.65 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) ) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_le__infI1,axiom,
% 202.51/202.65 ! [V_b,V_x,V_a,T_a] :
% 202.51/202.65 ( class_Lattices_Osemilattice__inf(T_a)
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 202.51/202.65 => 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)) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_le__infI2,axiom,
% 202.51/202.65 ! [V_a,V_x,V_b,T_a] :
% 202.51/202.65 ( class_Lattices_Osemilattice__inf(T_a)
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 202.51/202.65 => 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)) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_inf__absorb1,axiom,
% 202.51/202.65 ! [V_y,V_x,T_a] :
% 202.51/202.65 ( class_Lattices_Osemilattice__inf(T_a)
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 202.51/202.65 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_x ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_inf__absorb2,axiom,
% 202.51/202.65 ! [V_x,V_y,T_a] :
% 202.51/202.65 ( class_Lattices_Osemilattice__inf(T_a)
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 202.51/202.65 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_y ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_le__infI,axiom,
% 202.51/202.65 ! [V_b,V_a,V_x,T_a] :
% 202.51/202.65 ( class_Lattices_Osemilattice__inf(T_a)
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 202.51/202.65 => 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))) ) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_inf__greatest,axiom,
% 202.51/202.65 ! [V_z,V_y,V_x,T_a] :
% 202.51/202.65 ( class_Lattices_Osemilattice__inf(T_a)
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z))
% 202.51/202.65 => 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))) ) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_inf__mono,axiom,
% 202.51/202.65 ! [V_d,V_b,V_c,V_a,T_a] :
% 202.51/202.65 ( class_Lattices_Osemilattice__inf(T_a)
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 202.51/202.65 => 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))) ) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_le__infE,axiom,
% 202.51/202.65 ! [V_b,V_a,V_x,T_a] :
% 202.51/202.65 ( class_Lattices_Osemilattice__inf(T_a)
% 202.51/202.65 => ( 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)))
% 202.51/202.65 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 202.51/202.65 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_compl__le__compl__iff,axiom,
% 202.51/202.65 ! [V_y_2,V_x_2,T_b] :
% 202.51/202.65 ( class_Lattices_Oboolean__algebra(T_b)
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2)))
% 202.51/202.65 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_compl__mono,axiom,
% 202.51/202.65 ! [V_y,V_x,T_a] :
% 202.51/202.65 ( class_Lattices_Oboolean__algebra(T_a)
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 202.51/202.65 => 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))) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_sup__eq__bot__iff,axiom,
% 202.51/202.65 ! [V_y_2,V_x_2,T_b] :
% 202.51/202.65 ( class_Lattices_Obounded__lattice__bot(T_b)
% 202.51/202.65 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2) = c_Orderings_Obot__class_Obot(T_b)
% 202.51/202.65 <=> ( V_x_2 = c_Orderings_Obot__class_Obot(T_b)
% 202.51/202.65 & V_y_2 = c_Orderings_Obot__class_Obot(T_b) ) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_sup__bot__right,axiom,
% 202.51/202.65 ! [V_x,T_a] :
% 202.51/202.65 ( class_Lattices_Obounded__lattice__bot(T_a)
% 202.51/202.65 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),c_Orderings_Obot__class_Obot(T_a)) = V_x ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_sup__bot__left,axiom,
% 202.51/202.65 ! [V_x,T_a] :
% 202.51/202.65 ( class_Lattices_Obounded__lattice__bot(T_a)
% 202.51/202.65 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x) = V_x ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_inf__bot__right,axiom,
% 202.51/202.65 ! [V_x,T_a] :
% 202.51/202.65 ( class_Lattices_Obounded__lattice__bot(T_a)
% 202.51/202.65 => 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) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_inf__bot__left,axiom,
% 202.51/202.65 ! [V_x,T_a] :
% 202.51/202.65 ( class_Lattices_Obounded__lattice__bot(T_a)
% 202.51/202.65 => 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) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_sup__inf__distrib2,axiom,
% 202.51/202.65 ! [V_x,V_z,V_y,T_a] :
% 202.51/202.65 ( class_Lattices_Odistrib__lattice(T_a)
% 202.51/202.65 => 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)) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_inf__sup__distrib2,axiom,
% 202.51/202.65 ! [V_x,V_z,V_y,T_a] :
% 202.51/202.65 ( class_Lattices_Odistrib__lattice(T_a)
% 202.51/202.65 => 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)) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_sup__inf__distrib1,axiom,
% 202.51/202.65 ! [V_z,V_y,V_x,T_a] :
% 202.51/202.65 ( class_Lattices_Odistrib__lattice(T_a)
% 202.51/202.65 => 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)) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_inf__sup__distrib1,axiom,
% 202.51/202.65 ! [V_z,V_y,V_x,T_a] :
% 202.51/202.65 ( class_Lattices_Odistrib__lattice(T_a)
% 202.51/202.65 => 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)) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_sup__inf__absorb,axiom,
% 202.51/202.65 ! [V_y,V_x,T_a] :
% 202.51/202.65 ( class_Lattices_Olattice(T_a)
% 202.51/202.65 => 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 ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_inf__sup__absorb,axiom,
% 202.51/202.65 ! [V_y,V_x,T_a] :
% 202.51/202.65 ( class_Lattices_Olattice(T_a)
% 202.51/202.65 => 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 ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_sup__top__right,axiom,
% 202.51/202.65 ! [V_x,T_a] :
% 202.51/202.65 ( class_Lattices_Obounded__lattice__top(T_a)
% 202.51/202.65 => 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) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_sup__top__left,axiom,
% 202.51/202.65 ! [V_x,T_a] :
% 202.51/202.65 ( class_Lattices_Obounded__lattice__top(T_a)
% 202.51/202.65 => 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) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_inf__eq__top__iff,axiom,
% 202.51/202.65 ! [V_y_2,V_x_2,T_b] :
% 202.51/202.65 ( class_Lattices_Obounded__lattice__top(T_b)
% 202.51/202.65 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_y_2) = c_Orderings_Otop__class_Otop(T_b)
% 202.51/202.65 <=> ( V_x_2 = c_Orderings_Otop__class_Otop(T_b)
% 202.51/202.65 & V_y_2 = c_Orderings_Otop__class_Otop(T_b) ) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_inf__top__right,axiom,
% 202.51/202.65 ! [V_x,T_a] :
% 202.51/202.65 ( class_Lattices_Obounded__lattice__top(T_a)
% 202.51/202.65 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),c_Orderings_Otop__class_Otop(T_a)) = V_x ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_inf__top__left,axiom,
% 202.51/202.65 ! [V_x,T_a] :
% 202.51/202.65 ( class_Lattices_Obounded__lattice__top(T_a)
% 202.51/202.65 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Orderings_Otop__class_Otop(T_a)),V_x) = V_x ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_sup__apply,axiom,
% 202.51/202.65 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 202.51/202.65 ( class_Lattices_Olattice(T_b)
% 202.51/202.65 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,T_b)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_inf__apply,axiom,
% 202.51/202.65 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 202.51/202.65 ( class_Lattices_Olattice(T_b)
% 202.51/202.65 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,T_b)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_uminus__apply,axiom,
% 202.51/202.65 ! [V_x_2,V_A_2,T_c,T_b] :
% 202.51/202.65 ( class_Groups_Ouminus(T_b)
% 202.51/202.65 => hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,T_b)),V_A_2),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),hAPP(V_A_2,V_x_2)) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_distrib__sup__le,axiom,
% 202.51/202.65 ! [V_z,V_y,V_x,T_a] :
% 202.51/202.65 ( class_Lattices_Olattice(T_a)
% 202.51/202.65 => 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)))) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_distrib__inf__le,axiom,
% 202.51/202.65 ! [V_z,V_y,V_x,T_a] :
% 202.51/202.65 ( class_Lattices_Olattice(T_a)
% 202.51/202.65 => 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)))) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_ord_OatMost__iff,axiom,
% 202.51/202.65 ! [V_k_2,V_less__eq_2,V_i_2,T_b] :
% 202.51/202.65 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatMost(T_b,V_less__eq_2,V_k_2)))
% 202.51/202.65 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_k_2)) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_ord_OatLeast__iff,axiom,
% 202.51/202.65 ! [V_k_2,V_less__eq_2,V_i_2,T_b] :
% 202.51/202.65 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatLeast(T_b,V_less__eq_2,V_k_2)))
% 202.51/202.65 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_k_2),V_i_2)) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_ord_OlessThan__iff,axiom,
% 202.51/202.65 ! [V_k_2,V_less_2,V_i_2,T_b] :
% 202.51/202.65 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OlessThan(T_b,V_less_2,V_k_2)))
% 202.51/202.65 <=> hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_k_2)) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_ord_OgreaterThan__iff,axiom,
% 202.51/202.65 ! [V_k_2,V_less_2,V_i_2,T_b] :
% 202.51/202.65 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OgreaterThan(T_b,V_less_2,V_k_2)))
% 202.51/202.65 <=> hBOOL(hAPP(hAPP(V_less_2,V_k_2),V_i_2)) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_ord_OatLeastAtMost__iff,axiom,
% 202.51/202.65 ! [V_u_2,V_l_2,V_less__eq_2,V_i_2,T_b] :
% 202.51/202.65 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatLeastAtMost(T_b,V_less__eq_2,V_l_2,V_u_2)))
% 202.51/202.65 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2))
% 202.51/202.65 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_ord_OgreaterThanLessThan__iff,axiom,
% 202.51/202.65 ! [V_u_2,V_l_2,V_less_2,V_i_2,T_b] :
% 202.51/202.65 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OgreaterThanLessThan(T_b,V_less_2,V_l_2,V_u_2)))
% 202.51/202.65 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2))
% 202.51/202.65 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_ord_OatLeastLessThan__iff,axiom,
% 202.51/202.65 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_b] :
% 202.51/202.65 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatLeastLessThan(T_b,V_less__eq_2,V_less_2,V_l_2,V_u_2)))
% 202.51/202.65 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2))
% 202.51/202.65 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_ord_OgreaterThanAtMost__iff,axiom,
% 202.51/202.65 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_b] :
% 202.51/202.65 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OgreaterThanAtMost(T_b,V_less__eq_2,V_less_2,V_l_2,V_u_2)))
% 202.51/202.65 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2))
% 202.51/202.65 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_iso__tuple__UNIV__I,axiom,
% 202.51/202.65 ! [V_x_2,T_b] : hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_le__minus__iff,axiom,
% 202.51/202.65 ! [V_b_2,V_a_2,T_b] :
% 202.51/202.65 ( class_Groups_Oordered__ab__group__add(T_b)
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)))
% 202.51/202.65 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_minus__le__iff,axiom,
% 202.51/202.65 ! [V_b_2,V_a_2,T_b] :
% 202.51/202.65 ( class_Groups_Oordered__ab__group__add(T_b)
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2))
% 202.51/202.65 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)),V_a_2)) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_minus__minus,axiom,
% 202.51/202.65 ! [V_a,T_a] :
% 202.51/202.65 ( class_Groups_Ogroup__add(T_a)
% 202.51/202.65 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)) = V_a ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_equation__minus__iff,axiom,
% 202.51/202.65 ! [V_b_2,V_a_2,T_b] :
% 202.51/202.65 ( class_Groups_Ogroup__add(T_b)
% 202.51/202.65 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)
% 202.51/202.65 <=> V_b_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_minus__equation__iff,axiom,
% 202.51/202.65 ! [V_b_2,V_a_2,T_b] :
% 202.51/202.65 ( class_Groups_Ogroup__add(T_b)
% 202.51/202.65 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = V_b_2
% 202.51/202.65 <=> hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) = V_a_2 ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_neg__equal__iff__equal,axiom,
% 202.51/202.65 ! [V_b_2,V_a_2,T_b] :
% 202.51/202.65 ( class_Groups_Ogroup__add(T_b)
% 202.51/202.65 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)
% 202.51/202.65 <=> V_a_2 = V_b_2 ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_le__imp__neg__le,axiom,
% 202.51/202.65 ! [V_b,V_a,T_a] :
% 202.51/202.65 ( class_Groups_Oordered__ab__group__add(T_a)
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 202.51/202.65 => 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))) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_neg__le__iff__le,axiom,
% 202.51/202.65 ! [V_a_2,V_b_2,T_b] :
% 202.51/202.65 ( class_Groups_Oordered__ab__group__add(T_b)
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)))
% 202.51/202.65 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_Inter__subset,axiom,
% 202.51/202.65 ! [V_B_2,V_A_2,T_b] :
% 202.51/202.65 ( ! [B_X] :
% 202.51/202.65 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_A_2))
% 202.51/202.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),B_X),V_B_2)) )
% 202.51/202.65 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))
% 202.51/202.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2)),V_B_2)) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_ivl__disj__un_I13_J,axiom,
% 202.51/202.65 ! [V_u_2,V_l_2,T_b] :
% 202.51/202.65 ( class_Orderings_Olinorder(T_b)
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 202.51/202.65 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_l_2) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_InterI,axiom,
% 202.51/202.65 ! [V_A_2,V_C_2,T_b] :
% 202.51/202.65 ( ! [B_X] :
% 202.51/202.65 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_C_2))
% 202.51/202.65 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),B_X)) )
% 202.51/202.65 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_C_2))) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_ivl__disj__un_I10_J,axiom,
% 202.51/202.65 ! [V_u_2,V_l_2,T_b] :
% 202.51/202.65 ( class_Orderings_Olinorder(T_b)
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 202.51/202.65 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_l_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_u_2) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_UnionE,axiom,
% 202.51/202.65 ! [V_C_2,V_A_2,T_b] :
% 202.51/202.65 ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2)))
% 202.51/202.65 => ~ ! [B_X] :
% 202.51/202.65 ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),B_X))
% 202.51/202.65 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_C_2)) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_ivl__disj__un_I12_J,axiom,
% 202.51/202.65 ! [V_u_2,V_l_2,T_b] :
% 202.51/202.65 ( class_Orderings_Olinorder(T_b)
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 202.51/202.65 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_u_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_l_2) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_ivl__disj__un_I7_J,axiom,
% 202.51/202.65 ! [V_u_2,V_l_2,T_b] :
% 202.51/202.65 ( class_Orderings_Olinorder(T_b)
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 202.51/202.65 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_l_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_u_2) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_ivl__disj__un_I1_J,axiom,
% 202.51/202.65 ! [V_l_2,T_b] :
% 202.51/202.65 ( class_Orderings_Olinorder(T_b)
% 202.51/202.65 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_l_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_l_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_l_2) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_ivl__disj__un_I16_J,axiom,
% 202.51/202.65 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 202.51/202.65 ( class_Orderings_Olinorder(T_b)
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_u_2))
% 202.51/202.65 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2) ) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_atMost__Int__atLeast,axiom,
% 202.51/202.65 ! [V_n_2,T_b] :
% 202.51/202.65 ( class_Orderings_Oorder(T_b)
% 202.51/202.65 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_n_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_n_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_n_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_Suc__mono,axiom,
% 202.51/202.65 ! [V_n,V_m] :
% 202.51/202.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 202.51/202.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n))) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_lessI,axiom,
% 202.51/202.65 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_n))) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_insertE,axiom,
% 202.51/202.65 ! [V_A_2,V_b_2,V_a_2,T_b] :
% 202.51/202.65 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_A_2)))
% 202.51/202.65 => ( V_a_2 != V_b_2
% 202.51/202.65 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_insertCI,axiom,
% 202.51/202.65 ! [V_b_2,V_B_2,V_a_2,T_b] :
% 202.51/202.65 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2))
% 202.51/202.65 => V_a_2 = V_b_2 )
% 202.51/202.65 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_atLeastatMost__psubset__iff,axiom,
% 202.51/202.65 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 202.51/202.65 ( class_Orderings_Oorder(T_b)
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_c_2,V_d_2)))
% 202.51/202.65 <=> ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 202.51/202.65 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2))
% 202.51/202.65 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2))
% 202.51/202.65 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_a_2))
% 202.51/202.65 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_d_2)) ) ) )
% 202.51/202.65 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_d_2)) ) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_order__less__irrefl,axiom,
% 202.51/202.65 ! [V_x,T_a] :
% 202.51/202.65 ( class_Orderings_Opreorder(T_a)
% 202.51/202.65 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_x)) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_linorder__neq__iff,axiom,
% 202.51/202.65 ! [V_y_2,V_x_2,T_b] :
% 202.51/202.65 ( class_Orderings_Olinorder(T_b)
% 202.51/202.65 => ( V_x_2 != V_y_2
% 202.51/202.65 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 202.51/202.65 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) ) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_not__less__iff__gr__or__eq,axiom,
% 202.51/202.65 ! [V_y_2,V_x_2,T_b] :
% 202.51/202.65 ( class_Orderings_Olinorder(T_b)
% 202.51/202.65 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 202.51/202.65 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2))
% 202.51/202.65 | V_x_2 = V_y_2 ) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_linorder__less__linear,axiom,
% 202.51/202.65 ! [V_y,V_x,T_a] :
% 202.51/202.65 ( class_Orderings_Olinorder(T_a)
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 202.51/202.65 | V_x = V_y
% 202.51/202.65 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_insert__absorb2,axiom,
% 202.51/202.65 ! [V_A_2,V_x_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_insert__commute,axiom,
% 202.51/202.65 ! [V_A_2,V_y_2,V_x_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),V_A_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_insert__code,axiom,
% 202.51/202.65 ! [V_x_2,V_A_2,V_y_2,T_b] :
% 202.51/202.65 ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),V_A_2),V_x_2))
% 202.51/202.65 <=> ( V_y_2 = V_x_2
% 202.51/202.65 | hBOOL(hAPP(V_A_2,V_x_2)) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_linorder__antisym__conv3,axiom,
% 202.51/202.65 ! [V_x_2,V_y_2,T_b] :
% 202.51/202.65 ( class_Orderings_Olinorder(T_b)
% 202.51/202.65 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2))
% 202.51/202.65 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 202.51/202.65 <=> V_x_2 = V_y_2 ) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_linorder__neqE,axiom,
% 202.51/202.65 ! [V_y,V_x,T_a] :
% 202.51/202.65 ( class_Orderings_Olinorder(T_a)
% 202.51/202.65 => ( V_x != V_y
% 202.51/202.65 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 202.51/202.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_less__imp__neq,axiom,
% 202.51/202.65 ! [V_y,V_x,T_a] :
% 202.51/202.65 ( class_Orderings_Oorder(T_a)
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 202.51/202.65 => V_x != V_y ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_order__less__not__sym,axiom,
% 202.51/202.65 ! [V_y,V_x,T_a] :
% 202.51/202.65 ( class_Orderings_Opreorder(T_a)
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 202.51/202.65 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_order__less__imp__not__less,axiom,
% 202.51/202.65 ! [V_y,V_x,T_a] :
% 202.51/202.65 ( class_Orderings_Opreorder(T_a)
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 202.51/202.65 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_order__less__imp__not__eq,axiom,
% 202.51/202.65 ! [V_y,V_x,T_a] :
% 202.51/202.65 ( class_Orderings_Oorder(T_a)
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 202.51/202.65 => V_x != V_y ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_order__less__imp__not__eq2,axiom,
% 202.51/202.65 ! [V_y,V_x,T_a] :
% 202.51/202.65 ( class_Orderings_Oorder(T_a)
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 202.51/202.65 => V_y != V_x ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_order__less__asym_H,axiom,
% 202.51/202.65 ! [V_b,V_a,T_a] :
% 202.51/202.65 ( class_Orderings_Opreorder(T_a)
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 202.51/202.65 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_xt1_I9_J,axiom,
% 202.51/202.65 ! [V_a,V_b,T_a] :
% 202.51/202.65 ( class_Orderings_Oorder(T_a)
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 202.51/202.65 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_ord__eq__less__trans,axiom,
% 202.51/202.65 ! [V_c,V_b,V_a,T_a] :
% 202.51/202.65 ( class_Orderings_Oord(T_a)
% 202.51/202.65 => ( V_a = V_b
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 202.51/202.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_xt1_I1_J,axiom,
% 202.51/202.65 ! [V_c,V_b,V_a,T_a] :
% 202.51/202.65 ( class_Orderings_Oorder(T_a)
% 202.51/202.65 => ( V_a = V_b
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_b))
% 202.51/202.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_ord__less__eq__trans,axiom,
% 202.51/202.65 ! [V_c,V_b,V_a,T_a] :
% 202.51/202.65 ( class_Orderings_Oord(T_a)
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 202.51/202.65 => ( V_b = V_c
% 202.51/202.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_xt1_I2_J,axiom,
% 202.51/202.65 ! [V_c,V_a,V_b,T_a] :
% 202.51/202.65 ( class_Orderings_Oorder(T_a)
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 202.51/202.65 => ( V_b = V_c
% 202.51/202.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_order__less__trans,axiom,
% 202.51/202.65 ! [V_z,V_y,V_x,T_a] :
% 202.51/202.65 ( class_Orderings_Opreorder(T_a)
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z))
% 202.51/202.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_xt1_I10_J,axiom,
% 202.51/202.65 ! [V_z,V_x,V_y,T_a] :
% 202.51/202.65 ( class_Orderings_Oorder(T_a)
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x))
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y))
% 202.51/202.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_order__less__asym,axiom,
% 202.51/202.65 ! [V_y,V_x,T_a] :
% 202.51/202.65 ( class_Orderings_Opreorder(T_a)
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 202.51/202.65 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_linorder__cases,axiom,
% 202.51/202.65 ! [V_y,V_x,T_a] :
% 202.51/202.65 ( class_Orderings_Olinorder(T_a)
% 202.51/202.65 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 202.51/202.65 => ( V_x != V_y
% 202.51/202.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_atLeastAtMost__singleton,axiom,
% 202.51/202.65 ! [V_a_2,T_b] :
% 202.51/202.65 ( class_Orderings_Oorder(T_b)
% 202.51/202.65 => c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_a_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_atLeastAtMost__singleton__iff,axiom,
% 202.51/202.65 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 202.51/202.65 ( class_Orderings_Oorder(T_b)
% 202.51/202.65 => ( c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_c_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))
% 202.51/202.65 <=> ( V_a_2 = V_b_2
% 202.51/202.65 & V_b_2 = V_c_2 ) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_atLeastAtMost__singleton_H,axiom,
% 202.51/202.65 ! [V_b_2,V_a_2,T_b] :
% 202.51/202.65 ( class_Orderings_Oorder(T_b)
% 202.51/202.65 => ( V_a_2 = V_b_2
% 202.51/202.65 => c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_atLeastatMost__empty,axiom,
% 202.51/202.65 ! [V_a_2,V_b_2,T_b] :
% 202.51/202.65 ( class_Orderings_Oorder(T_b)
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2))
% 202.51/202.65 => c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_lessThan__strict__subset__iff,axiom,
% 202.51/202.65 ! [V_n_2,V_m_2,T_b] :
% 202.51/202.65 ( class_Orderings_Olinorder(T_b)
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_m_2)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_n_2)))
% 202.51/202.65 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_n_2)) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_atLeastAtMostSuc__conv,axiom,
% 202.51/202.65 ! [V_n_2,V_m_2] :
% 202.51/202.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 202.51/202.65 => 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)) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_insertI1,axiom,
% 202.51/202.65 ! [V_B_2,V_a_2,T_b] : hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2))) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_insert__iff,axiom,
% 202.51/202.65 ! [V_A_2,V_b_2,V_a_2,T_b] :
% 202.51/202.65 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_A_2)))
% 202.51/202.65 <=> ( V_a_2 = V_b_2
% 202.51/202.65 | hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_insert__ident,axiom,
% 202.51/202.65 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 202.51/202.65 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.51/202.65 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 202.51/202.65 => ( hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_B_2)
% 202.51/202.65 <=> V_A_2 = V_B_2 ) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_insertI2,axiom,
% 202.51/202.65 ! [V_b_2,V_B_2,V_a_2,T_b] :
% 202.51/202.65 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2))
% 202.51/202.65 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_insert__absorb,axiom,
% 202.51/202.65 ! [V_A_2,V_a_2,T_b] :
% 202.51/202.65 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 202.51/202.65 => hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) = V_A_2 ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_less__fun__def,axiom,
% 202.51/202.65 ! [V_g_2,V_f_2,T_b,T_c] :
% 202.51/202.65 ( class_Orderings_Oord(T_c)
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 202.51/202.65 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 202.51/202.65 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_g_2),V_f_2)) ) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_linorder__not__less,axiom,
% 202.51/202.65 ! [V_y_2,V_x_2,T_b] :
% 202.51/202.65 ( class_Orderings_Olinorder(T_b)
% 202.51/202.65 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 202.51/202.65 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_linorder__not__le,axiom,
% 202.51/202.65 ! [V_y_2,V_x_2,T_b] :
% 202.51/202.65 ( class_Orderings_Olinorder(T_b)
% 202.51/202.65 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 202.51/202.65 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_linorder__le__less__linear,axiom,
% 202.51/202.65 ! [V_y,V_x,T_a] :
% 202.51/202.65 ( class_Orderings_Olinorder(T_a)
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 202.51/202.65 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_order__less__le,axiom,
% 202.51/202.65 ! [V_y_2,V_x_2,T_b] :
% 202.51/202.65 ( class_Orderings_Oorder(T_b)
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 202.51/202.65 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 202.51/202.65 & V_x_2 != V_y_2 ) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_less__le__not__le,axiom,
% 202.51/202.65 ! [V_y_2,V_x_2,T_b] :
% 202.51/202.65 ( class_Orderings_Opreorder(T_b)
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 202.51/202.65 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 202.51/202.65 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_order__le__less,axiom,
% 202.51/202.65 ! [V_y_2,V_x_2,T_b] :
% 202.51/202.65 ( class_Orderings_Oorder(T_b)
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 202.51/202.65 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 202.51/202.65 | V_x_2 = V_y_2 ) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_leI,axiom,
% 202.51/202.65 ! [V_y,V_x,T_a] :
% 202.51/202.65 ( class_Orderings_Olinorder(T_a)
% 202.51/202.65 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 202.51/202.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_not__leE,axiom,
% 202.51/202.65 ! [V_x,V_y,T_a] :
% 202.51/202.65 ( class_Orderings_Olinorder(T_a)
% 202.51/202.65 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 202.51/202.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_linorder__antisym__conv1,axiom,
% 202.51/202.65 ! [V_y_2,V_x_2,T_b] :
% 202.51/202.65 ( class_Orderings_Olinorder(T_b)
% 202.51/202.65 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 202.51/202.65 <=> V_x_2 = V_y_2 ) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_order__neq__le__trans,axiom,
% 202.51/202.65 ! [V_b,V_a,T_a] :
% 202.51/202.65 ( class_Orderings_Oorder(T_a)
% 202.51/202.65 => ( V_a != V_b
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 202.51/202.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_xt1_I12_J,axiom,
% 202.51/202.65 ! [V_b,V_a,T_a] :
% 202.51/202.65 ( class_Orderings_Oorder(T_a)
% 202.51/202.65 => ( V_a != V_b
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 202.51/202.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_leD,axiom,
% 202.51/202.65 ! [V_x,V_y,T_a] :
% 202.51/202.65 ( class_Orderings_Olinorder(T_a)
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 202.51/202.65 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_order__less__imp__le,axiom,
% 202.51/202.65 ! [V_y,V_x,T_a] :
% 202.51/202.65 ( class_Orderings_Opreorder(T_a)
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 202.51/202.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_linorder__antisym__conv2,axiom,
% 202.51/202.65 ! [V_y_2,V_x_2,T_b] :
% 202.51/202.65 ( class_Orderings_Olinorder(T_b)
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 202.51/202.65 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 202.51/202.65 <=> V_x_2 = V_y_2 ) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_order__le__imp__less__or__eq,axiom,
% 202.51/202.65 ! [V_y,V_x,T_a] :
% 202.51/202.65 ( class_Orderings_Oorder(T_a)
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 202.51/202.65 | V_x = V_y ) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_order__le__neq__trans,axiom,
% 202.51/202.65 ! [V_b,V_a,T_a] :
% 202.51/202.65 ( class_Orderings_Oorder(T_a)
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 202.51/202.65 => ( V_a != V_b
% 202.51/202.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_xt1_I11_J,axiom,
% 202.51/202.65 ! [V_a,V_b,T_a] :
% 202.51/202.65 ( class_Orderings_Oorder(T_a)
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 202.51/202.65 => ( V_a != V_b
% 202.51/202.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_order__less__le__trans,axiom,
% 202.51/202.65 ! [V_z,V_y,V_x,T_a] :
% 202.51/202.65 ( class_Orderings_Opreorder(T_a)
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z))
% 202.51/202.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_xt1_I7_J,axiom,
% 202.51/202.65 ! [V_z,V_x,V_y,T_a] :
% 202.51/202.65 ( class_Orderings_Oorder(T_a)
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x))
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y))
% 202.51/202.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_order__le__less__trans,axiom,
% 202.51/202.65 ! [V_z,V_y,V_x,T_a] :
% 202.51/202.65 ( class_Orderings_Opreorder(T_a)
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z))
% 202.51/202.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_xt1_I8_J,axiom,
% 202.51/202.65 ! [V_z,V_x,V_y,T_a] :
% 202.51/202.65 ( class_Orderings_Oorder(T_a)
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y))
% 202.51/202.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_psubsetD,axiom,
% 202.51/202.65 ! [V_c_2,V_B_2,V_A_2,T_b] :
% 202.51/202.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 202.51/202.65 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 202.51/202.65 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_singleton__inject,axiom,
% 202.51/202.65 ! [V_b_2,V_a_2,T_b] :
% 202.51/202.65 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))
% 202.51/202.65 => V_a_2 = V_b_2 ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_doubleton__eq__iff,axiom,
% 202.51/202.65 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 202.51/202.65 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(T_b),V_c_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_d_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 202.51/202.65 <=> ( ( V_a_2 = V_c_2
% 202.51/202.65 & V_b_2 = V_d_2 )
% 202.51/202.65 | ( V_a_2 = V_d_2
% 202.51/202.65 & V_b_2 = V_c_2 ) ) ) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_insert__not__empty,axiom,
% 202.51/202.65 ! [V_A_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_empty__not__insert,axiom,
% 202.51/202.65 ! [V_A_2,V_a_2,T_b] : c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) != hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_atLeastSucAtMost__greaterThanAtMost,axiom,
% 202.51/202.65 ! [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) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_subset__insertI,axiom,
% 202.51/202.65 ! [V_a_2,V_B_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2))) ).
% 202.51/202.65
% 202.51/202.65 fof(fact_subset__insertI2,axiom,
% 202.51/202.65 ! [V_b_2,V_B_2,V_A_2,T_b] :
% 202.51/202.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 202.58/202.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) ) ).
% 202.58/202.65
% 202.58/202.65 fof(fact_insert__mono,axiom,
% 202.58/202.65 ! [V_a_2,V_D_2,V_C_2,T_b] :
% 202.58/202.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2))
% 202.58/202.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_C_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_D_2))) ) ).
% 202.58/202.65
% 202.58/202.65 fof(fact_not__psubset__empty,axiom,
% 202.58/202.65 ! [V_A_2,T_b] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 202.58/202.65
% 202.58/202.65 fof(fact_Un__insert__right,axiom,
% 202.58/202.65 ! [V_B_2,V_a_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ).
% 202.58/202.65
% 202.58/202.65 fof(fact_Un__insert__left,axiom,
% 202.58/202.65 ! [V_C_2,V_B_2,V_a_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 202.58/202.65
% 202.58/202.65 fof(fact_insert__inter__insert,axiom,
% 202.58/202.65 ! [V_B_2,V_A_2,V_a_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ).
% 202.58/202.65
% 202.58/202.65 fof(fact_less__supI2,axiom,
% 202.58/202.65 ! [V_a,V_b,V_x,T_a] :
% 202.58/202.65 ( class_Lattices_Osemilattice__sup(T_a)
% 202.58/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b))
% 202.58/202.65 => 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))) ) ) ).
% 202.58/202.65
% 202.58/202.65 fof(fact_less__supI1,axiom,
% 202.58/202.65 ! [V_b,V_a,V_x,T_a] :
% 202.58/202.65 ( class_Lattices_Osemilattice__sup(T_a)
% 202.58/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 202.58/202.65 => 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))) ) ) ).
% 202.58/202.65
% 202.58/202.65 fof(fact_less__infI2,axiom,
% 202.58/202.65 ! [V_a,V_x,V_b,T_a] :
% 202.58/202.65 ( class_Lattices_Osemilattice__inf(T_a)
% 202.58/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x))
% 202.58/202.65 => 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)) ) ) ).
% 202.58/202.65
% 202.58/202.65 fof(fact_less__infI1,axiom,
% 202.58/202.65 ! [V_b,V_x,V_a,T_a] :
% 202.58/202.65 ( class_Lattices_Osemilattice__inf(T_a)
% 202.58/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x))
% 202.58/202.65 => 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)) ) ) ).
% 202.58/202.65
% 202.58/202.65 fof(fact_neg__less__iff__less,axiom,
% 202.58/202.65 ! [V_a_2,V_b_2,T_b] :
% 202.58/202.65 ( class_Groups_Oordered__ab__group__add(T_b)
% 202.58/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)))
% 202.58/202.65 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 202.58/202.65
% 202.58/202.65 fof(fact_minus__less__iff,axiom,
% 202.58/202.65 ! [V_b_2,V_a_2,T_b] :
% 202.58/202.65 ( class_Groups_Oordered__ab__group__add(T_b)
% 202.58/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2))
% 202.58/202.65 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)),V_a_2)) ) ) ).
% 202.58/202.65
% 202.58/202.65 fof(fact_less__minus__iff,axiom,
% 202.58/202.65 ! [V_b_2,V_a_2,T_b] :
% 202.58/202.65 ( class_Groups_Oordered__ab__group__add(T_b)
% 202.58/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)))
% 202.58/202.65 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) ) ) ).
% 202.58/202.65
% 202.58/202.65 fof(fact_psubset__eq,axiom,
% 202.58/202.65 ! [V_B_2,V_A_2,T_b] :
% 202.58/202.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 202.58/202.65 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 202.58/202.65 & V_A_2 != V_B_2 ) ) ).
% 202.58/202.65
% 202.58/202.65 fof(fact_subset__iff__psubset__eq,axiom,
% 202.58/202.65 ! [V_B_2,V_A_2,T_b] :
% 202.58/202.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 202.58/202.65 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 202.58/202.65 | V_A_2 = V_B_2 ) ) ).
% 202.58/202.65
% 202.58/202.65 fof(fact_psubset__imp__subset,axiom,
% 202.58/202.65 ! [V_B_2,V_A_2,T_b] :
% 202.58/202.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 202.58/202.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 202.58/202.65
% 202.58/202.65 fof(fact_psubset__subset__trans,axiom,
% 202.58/202.65 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 202.58/202.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 202.58/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 202.58/202.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 202.58/202.65
% 202.58/202.65 fof(fact_subset__psubset__trans,axiom,
% 202.58/202.65 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 202.58/202.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 202.58/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 202.58/202.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 202.58/202.65
% 202.58/202.65 fof(fact_Suc__less__SucD,axiom,
% 202.58/202.65 ! [V_n,V_m] :
% 202.58/202.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n)))
% 202.58/202.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 202.58/202.65
% 202.58/202.65 fof(fact_Suc__lessD,axiom,
% 202.58/202.65 ! [V_n,V_m] :
% 202.58/202.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 202.58/202.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 202.58/202.65
% 202.58/202.65 fof(fact_less__SucE,axiom,
% 202.58/202.65 ! [V_n,V_m] :
% 202.58/202.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)))
% 202.58/202.65 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 202.58/202.65 => V_m = V_n ) ) ).
% 202.58/202.65
% 202.58/202.65 fof(fact_less__trans__Suc,axiom,
% 202.58/202.65 ! [V_k,V_j,V_i] :
% 202.58/202.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 202.58/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k))
% 202.58/202.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_i)),V_k)) ) ) ).
% 202.58/202.65
% 202.58/202.65 fof(fact_Suc__lessI,axiom,
% 202.58/202.65 ! [V_n,V_m] :
% 202.58/202.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 202.58/202.65 => ( hAPP(c_Nat_OSuc,V_m) != V_n
% 202.58/202.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ) ).
% 202.58/202.65
% 202.58/202.65 fof(fact_less__SucI,axiom,
% 202.58/202.65 ! [V_n,V_m] :
% 202.58/202.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 202.58/202.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 202.58/202.65
% 202.58/202.65 fof(fact_less__antisym,axiom,
% 202.58/202.65 ! [V_m,V_n] :
% 202.58/202.65 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m))
% 202.58/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_m)))
% 202.58/202.65 => V_m = V_n ) ) ).
% 202.58/202.65
% 202.58/202.65 fof(fact_not__less__less__Suc__eq,axiom,
% 202.58/202.65 ! [V_m_2,V_n_2] :
% 202.58/202.65 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 202.58/202.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2)))
% 202.58/202.65 <=> V_n_2 = V_m_2 ) ) ).
% 202.58/202.65
% 202.58/202.65 fof(fact_Suc__less__eq,axiom,
% 202.58/202.65 ! [V_n_2,V_m_2] :
% 202.58/202.65 ( 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)))
% 202.58/202.65 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 202.58/202.65
% 202.58/202.65 fof(fact_less__Suc__eq,axiom,
% 202.58/202.65 ! [V_n_2,V_m_2] :
% 202.58/202.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 202.58/202.65 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 202.58/202.65 | V_m_2 = V_n_2 ) ) ).
% 202.58/202.65
% 202.58/202.66 fof(fact_not__less__eq,axiom,
% 202.58/202.66 ! [V_n_2,V_m_2] :
% 202.58/202.66 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 202.58/202.66 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2))) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_less__or__eq__imp__le,axiom,
% 202.58/202.66 ! [V_n,V_m] :
% 202.58/202.66 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 202.58/202.66 | V_m = V_n )
% 202.58/202.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_le__neq__implies__less,axiom,
% 202.58/202.66 ! [V_n,V_m] :
% 202.58/202.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 202.58/202.66 => ( V_m != V_n
% 202.58/202.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_less__imp__le__nat,axiom,
% 202.58/202.66 ! [V_n,V_m] :
% 202.58/202.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 202.58/202.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_le__eq__less__or__eq,axiom,
% 202.58/202.66 ! [V_n_2,V_m_2] :
% 202.58/202.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 202.58/202.66 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 202.58/202.66 | V_m_2 = V_n_2 ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_nat__less__le,axiom,
% 202.58/202.66 ! [V_n_2,V_m_2] :
% 202.58/202.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 202.58/202.66 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 202.58/202.66 & V_m_2 != V_n_2 ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_atLeastLessThan__eq__iff,axiom,
% 202.58/202.66 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 202.58/202.66 ( class_Orderings_Olinorder(T_b)
% 202.58/202.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 202.58/202.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2))
% 202.58/202.66 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_c_2),V_d_2)
% 202.58/202.66 <=> ( V_a_2 = V_c_2
% 202.58/202.66 & V_b_2 = V_d_2 ) ) ) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_atLeastLessThan__inj_I1_J,axiom,
% 202.58/202.66 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 202.58/202.66 ( class_Orderings_Olinorder(T_b)
% 202.58/202.66 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_c_2),V_d_2)
% 202.58/202.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 202.58/202.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2))
% 202.58/202.66 => V_a_2 = V_c_2 ) ) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_atLeastLessThan__inj_I2_J,axiom,
% 202.58/202.66 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 202.58/202.66 ( class_Orderings_Olinorder(T_b)
% 202.58/202.66 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_c_2),V_d_2)
% 202.58/202.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 202.58/202.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2))
% 202.58/202.66 => V_b_2 = V_d_2 ) ) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_less__Sup__iff,axiom,
% 202.58/202.66 ! [V_S_2,V_a_2,T_b] :
% 202.58/202.66 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 202.58/202.66 & class_Orderings_Olinorder(T_b) )
% 202.58/202.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Complete__Lattice_OSup__class_OSup(T_b,V_S_2)))
% 202.58/202.66 <=> ? [B_x] :
% 202.58/202.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 202.58/202.66 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),B_x)) ) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_Inf__less__iff,axiom,
% 202.58/202.66 ! [V_a_2,V_S_2,T_b] :
% 202.58/202.66 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 202.58/202.66 & class_Orderings_Olinorder(T_b) )
% 202.58/202.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Complete__Lattice_OInf__class_OInf(T_b,V_S_2)),V_a_2))
% 202.58/202.66 <=> ? [B_x] :
% 202.58/202.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 202.58/202.66 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_a_2)) ) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_strict__mono__less,axiom,
% 202.58/202.66 ! [V_y_2,V_x_2,V_f_2,T_b,T_c] :
% 202.58/202.66 ( ( class_Orderings_Oorder(T_c)
% 202.58/202.66 & class_Orderings_Olinorder(T_b) )
% 202.58/202.66 => ( c_Orderings_Oorder__class_Ostrict__mono(T_b,T_c,V_f_2)
% 202.58/202.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)))
% 202.58/202.66 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) ) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_strict__monoD,axiom,
% 202.58/202.66 ! [V_y_2,V_x_2,V_f_2,T_b,T_c] :
% 202.58/202.66 ( ( class_Orderings_Oorder(T_c)
% 202.58/202.66 & class_Orderings_Oorder(T_b) )
% 202.58/202.66 => ( c_Orderings_Oorder__class_Ostrict__mono(T_b,T_c,V_f_2)
% 202.58/202.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 202.58/202.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))) ) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_singletonE,axiom,
% 202.58/202.66 ! [V_a_2,V_b_2,T_b] :
% 202.58/202.66 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))
% 202.58/202.66 => V_b_2 = V_a_2 ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_singleton__iff,axiom,
% 202.58/202.66 ! [V_a_2,V_b_2,T_b] :
% 202.58/202.66 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))
% 202.58/202.66 <=> V_b_2 = V_a_2 ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_subset__insert,axiom,
% 202.58/202.66 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 202.58/202.66 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.58/202.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_B_2)))
% 202.58/202.66 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_insert__subset,axiom,
% 202.58/202.66 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 202.58/202.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),V_B_2))
% 202.58/202.66 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 202.58/202.66 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_ivl__disj__un_I3_J,axiom,
% 202.58/202.66 ! [V_u_2,V_l_2,T_b] :
% 202.58/202.66 ( class_Orderings_Olinorder(T_b)
% 202.58/202.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 202.58/202.66 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_l_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_Int__insert__right,axiom,
% 202.58/202.66 ! [V_B_2,V_A_2,V_a_2,T_b] :
% 202.58/202.66 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 202.58/202.66 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) )
% 202.58/202.66 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 202.58/202.66 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_Int__insert__left,axiom,
% 202.58/202.66 ! [V_B_2,V_C_2,V_a_2,T_b] :
% 202.58/202.66 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 202.58/202.66 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) )
% 202.58/202.66 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 202.58/202.66 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_Int__insert__right__if0,axiom,
% 202.58/202.66 ! [V_B_2,V_A_2,V_a_2,T_b] :
% 202.58/202.66 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 202.58/202.66 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_Int__insert__left__if0,axiom,
% 202.58/202.66 ! [V_B_2,V_C_2,V_a_2,T_b] :
% 202.58/202.66 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 202.58/202.66 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_Int__insert__right__if1,axiom,
% 202.58/202.66 ! [V_B_2,V_A_2,V_a_2,T_b] :
% 202.58/202.66 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 202.58/202.66 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_Int__insert__left__if1,axiom,
% 202.58/202.66 ! [V_B_2,V_C_2,V_a_2,T_b] :
% 202.58/202.66 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 202.58/202.66 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_subset__singletonD,axiom,
% 202.58/202.66 ! [V_x_2,V_A_2,T_b] :
% 202.58/202.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))
% 202.58/202.66 => ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.66 | 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))) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_ivl__disj__un_I6_J,axiom,
% 202.58/202.66 ! [V_u_2,V_l_2,T_b] :
% 202.58/202.66 ( class_Orderings_Olinorder(T_b)
% 202.58/202.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 202.58/202.66 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_u_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_insert__is__Un,axiom,
% 202.58/202.66 ! [V_A_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_A_2) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_ivl__disj__un_I4_J,axiom,
% 202.58/202.66 ! [V_u_2,V_l_2,T_b] :
% 202.58/202.66 ( class_Orderings_Olinorder(T_b)
% 202.58/202.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 202.58/202.66 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_u_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_ivl__disj__un_I5_J,axiom,
% 202.58/202.66 ! [V_u_2,V_l_2,T_b] :
% 202.58/202.66 ( class_Orderings_Olinorder(T_b)
% 202.58/202.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 202.58/202.66 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_l_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_Sup__singleton,axiom,
% 202.58/202.66 ! [V_a_2,T_b] :
% 202.58/202.66 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 202.58/202.66 => c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_a_2 ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_Sup__insert,axiom,
% 202.58/202.66 ! [V_A_2,V_a_2,T_b] :
% 202.58/202.66 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 202.58/202.66 => c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_a_2),c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2)) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_less__eq__Suc__le,axiom,
% 202.58/202.66 ! [V_m_2,V_n_2] :
% 202.58/202.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 202.58/202.66 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_less__Suc__eq__le,axiom,
% 202.58/202.66 ! [V_n_2,V_m_2] :
% 202.58/202.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 202.58/202.66 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_Suc__le__eq,axiom,
% 202.58/202.66 ! [V_n_2,V_m_2] :
% 202.58/202.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_n_2))
% 202.58/202.66 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_le__imp__less__Suc,axiom,
% 202.58/202.66 ! [V_n,V_m] :
% 202.58/202.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 202.58/202.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_Suc__leI,axiom,
% 202.58/202.66 ! [V_n,V_m] :
% 202.58/202.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 202.58/202.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_le__less__Suc__eq,axiom,
% 202.58/202.66 ! [V_n_2,V_m_2] :
% 202.58/202.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 202.58/202.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2)))
% 202.58/202.66 <=> V_n_2 = V_m_2 ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_Suc__le__lessD,axiom,
% 202.58/202.66 ! [V_n,V_m] :
% 202.58/202.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 202.58/202.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_atLeastLessThan__empty__iff2,axiom,
% 202.58/202.66 ! [V_b_2,V_a_2,T_b] :
% 202.58/202.66 ( class_Orderings_Oorder(T_b)
% 202.58/202.66 => ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2)
% 202.58/202.66 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_atLeastLessThan__empty__iff,axiom,
% 202.58/202.66 ! [V_b_2,V_a_2,T_b] :
% 202.58/202.66 ( class_Orderings_Oorder(T_b)
% 202.58/202.66 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.66 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_atLeastLessThanSuc__atLeastAtMost,axiom,
% 202.58/202.66 ! [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) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_Inf__singleton,axiom,
% 202.58/202.66 ! [V_a_2,T_b] :
% 202.58/202.66 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 202.58/202.66 => c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_a_2 ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_Inf__insert,axiom,
% 202.58/202.66 ! [V_A_2,V_a_2,T_b] :
% 202.58/202.66 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 202.58/202.66 => c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_a_2),c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2)) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_ivl__disj__un_I18_J,axiom,
% 202.58/202.66 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 202.58/202.66 ( class_Orderings_Olinorder(T_b)
% 202.58/202.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 202.58/202.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_u_2))
% 202.58/202.66 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_m_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2) ) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_atLeastLessThan__singleton,axiom,
% 202.58/202.66 ! [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))) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_Union__insert,axiom,
% 202.58/202.66 ! [V_B_2,V_a_2,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_a_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_B_2)) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_lessThan__iff,axiom,
% 202.58/202.66 ! [V_k_2,V_i_2,T_b] :
% 202.58/202.66 ( class_Orderings_Oord(T_b)
% 202.58/202.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2)))
% 202.58/202.66 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_i_2),V_k_2)) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_ivl__disj__un_I19_J,axiom,
% 202.58/202.66 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 202.58/202.66 ( class_Orderings_Olinorder(T_b)
% 202.58/202.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_m_2))
% 202.58/202.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 202.58/202.66 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2) ) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_greaterThanAtMost__empty__iff2,axiom,
% 202.58/202.66 ! [V_l_2,V_k_2,T_b] :
% 202.58/202.66 ( class_Orderings_Oorder(T_b)
% 202.58/202.66 => ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_k_2,V_l_2)
% 202.58/202.66 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_l_2)) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_greaterThanAtMost__empty__iff,axiom,
% 202.58/202.66 ! [V_l_2,V_k_2,T_b] :
% 202.58/202.66 ( class_Orderings_Oorder(T_b)
% 202.58/202.66 => ( c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.66 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_l_2)) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_Inter__insert,axiom,
% 202.58/202.66 ! [V_B_2,V_a_2,T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_a_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_B_2)) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_lessThan__Suc,axiom,
% 202.58/202.66 ! [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)) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_greaterThan__iff,axiom,
% 202.58/202.66 ! [V_k_2,V_i_2,T_b] :
% 202.58/202.66 ( class_Orderings_Oord(T_b)
% 202.58/202.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_k_2)))
% 202.58/202.66 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_i_2)) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_hoare__derivs_Oinsert,axiom,
% 202.58/202.66 ! [V_tsa_2,V_t_2,V_Ga_2,T_b] :
% 202.58/202.66 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),V_t_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 202.58/202.66 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_tsa_2)
% 202.58/202.66 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),V_t_2),V_tsa_2)) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_derivs__insertD,axiom,
% 202.58/202.66 ! [V_tsa_2,V_t_2,V_Ga_2,T_b] :
% 202.58/202.66 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),V_t_2),V_tsa_2))
% 202.58/202.66 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),V_t_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 202.58/202.66 & c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_tsa_2) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_atLeastatMost__empty__iff2,axiom,
% 202.58/202.66 ! [V_b_2,V_a_2,T_b] :
% 202.58/202.66 ( class_Orderings_Oorder(T_b)
% 202.58/202.66 => ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)
% 202.58/202.66 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_atLeastatMost__empty__iff,axiom,
% 202.58/202.66 ! [V_b_2,V_a_2,T_b] :
% 202.58/202.66 ( class_Orderings_Oorder(T_b)
% 202.58/202.66 => ( c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.66 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_atMost__Suc,axiom,
% 202.58/202.66 ! [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)) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_atLeastatMost__subset__iff,axiom,
% 202.58/202.66 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 202.58/202.66 ( class_Orderings_Oorder(T_b)
% 202.58/202.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_c_2,V_d_2)))
% 202.58/202.66 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 202.58/202.66 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2))
% 202.58/202.66 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2)) ) ) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_Sup__binary,axiom,
% 202.58/202.66 ! [V_b_2,V_a_2,T_b] :
% 202.58/202.66 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 202.58/202.66 => c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_a_2),V_b_2) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_Inf__binary,axiom,
% 202.58/202.66 ! [V_b_2,V_a_2,T_b] :
% 202.58/202.66 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 202.58/202.66 => c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_a_2),V_b_2) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_atLeastLessThanSuc,axiom,
% 202.58/202.66 ! [V_n_2,V_m_2] :
% 202.58/202.66 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 202.58/202.66 => 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)) )
% 202.58/202.66 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 202.58/202.66 => 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)) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_Un__eq__Union,axiom,
% 202.58/202.66 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_B_2),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))))) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_Pow__empty,axiom,
% 202.58/202.66 ! [T_b] : hAPP(c_Set_OPow(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_Int__eq__Inter,axiom,
% 202.58/202.66 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_B_2),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))))) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_ivl__disj__un_I21_J,axiom,
% 202.58/202.66 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 202.58/202.66 ( class_Orderings_Olinorder(T_b)
% 202.58/202.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 202.58/202.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 202.58/202.66 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2) ) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_ivl__disj__int_I15_J,axiom,
% 202.58/202.66 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 202.58/202.66 ( class_Orderings_Oorder(T_b)
% 202.58/202.66 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_ivl__disj__un_I22_J,axiom,
% 202.58/202.66 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 202.58/202.66 ( class_Orderings_Olinorder(T_b)
% 202.58/202.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 202.58/202.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 202.58/202.66 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2) ) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_ivl__disj__int_I4_J,axiom,
% 202.58/202.66 ! [V_u_2,V_l_2,T_b] :
% 202.58/202.66 ( class_Orderings_Oorder(T_b)
% 202.58/202.66 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_l_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_ivl__disj__int_I16_J,axiom,
% 202.58/202.66 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 202.58/202.66 ( class_Orderings_Oorder(T_b)
% 202.58/202.66 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_ivl__disj__int_I13_J,axiom,
% 202.58/202.66 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 202.58/202.66 ( class_Orderings_Oorder(T_b)
% 202.58/202.66 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_ivl__disj__int_I12_J,axiom,
% 202.58/202.66 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 202.58/202.66 ( class_Orderings_Oorder(T_b)
% 202.58/202.66 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_ivl__disj__int_I7_J,axiom,
% 202.58/202.66 ! [V_u_2,V_l_2,T_b] :
% 202.58/202.66 ( class_Orderings_Oorder(T_b)
% 202.58/202.66 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_ivl__disj__un_I15_J,axiom,
% 202.58/202.66 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 202.58/202.66 ( class_Orderings_Olinorder(T_b)
% 202.58/202.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_m_2))
% 202.58/202.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 202.58/202.66 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_m_2),V_u_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2) ) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_ivl__disj__un_I2_J,axiom,
% 202.58/202.66 ! [V_u_2,T_b] :
% 202.58/202.66 ( class_Orderings_Olinorder(T_b)
% 202.58/202.66 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_u_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_u_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_u_2) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_the__elem__eq,axiom,
% 202.58/202.66 ! [V_x_2,T_b] : c_Set_Othe__elem(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ).
% 202.58/202.66
% 202.58/202.66 fof(fact_Inter__greatest,axiom,
% 202.58/202.66 ! [V_C_2,V_A_2,T_b] :
% 202.58/202.66 ( ! [B_X] :
% 202.58/202.66 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_A_2))
% 202.58/202.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),B_X)) )
% 202.58/202.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2))) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_Union__least,axiom,
% 202.58/202.66 ! [V_C_2,V_A_2,T_b] :
% 202.58/202.66 ( ! [B_X] :
% 202.58/202.66 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_A_2))
% 202.58/202.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),B_X),V_C_2)) )
% 202.58/202.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)),V_C_2)) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_psubset__insert__iff,axiom,
% 202.58/202.66 ! [V_B_2,V_x_2,V_A_2,T_b] :
% 202.58/202.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_B_2)))
% 202.58/202.66 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 202.58/202.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) )
% 202.58/202.66 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 202.58/202.66 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.58/202.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_B_2)) )
% 202.58/202.66 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.58/202.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_diff__single__insert,axiom,
% 202.58/202.66 ! [V_B_2,V_x_2,V_A_2,T_b] :
% 202.58/202.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_B_2))
% 202.58/202.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.58/202.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_B_2))) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_subset__insert__iff,axiom,
% 202.58/202.66 ! [V_B_2,V_x_2,V_A_2,T_b] :
% 202.58/202.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_B_2)))
% 202.58/202.66 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.58/202.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_B_2)) )
% 202.58/202.66 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.58/202.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_Inf__greatest,axiom,
% 202.58/202.66 ! [V_z_2,V_A_2,T_b] :
% 202.58/202.66 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 202.58/202.66 => ( ! [B_x] :
% 202.58/202.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 202.58/202.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),B_x)) )
% 202.58/202.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2))) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_Sup__least,axiom,
% 202.58/202.66 ! [V_z_2,V_A_2,T_b] :
% 202.58/202.66 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 202.58/202.66 => ( ! [B_x] :
% 202.58/202.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 202.58/202.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_z_2)) )
% 202.58/202.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2)),V_z_2)) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_Pow__insert,axiom,
% 202.58/202.66 ! [V_A_2,V_a_2,T_b] : hAPP(c_Set_OPow(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)),hAPP(c_Set_Oimage(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oinsert(T_b),V_a_2)),hAPP(c_Set_OPow(T_b),V_A_2))) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_insert__partition,axiom,
% 202.58/202.66 ! [V_F_2,V_x_2,T_b] :
% 202.58/202.66 ( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_x_2),V_F_2))
% 202.58/202.66 => ( ! [B_x] :
% 202.58/202.66 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_x_2),V_F_2)))
% 202.58/202.66 => ! [B_xa] :
% 202.58/202.66 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_xa),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_x_2),V_F_2)))
% 202.58/202.66 => ( B_x != B_xa
% 202.58/202.66 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),B_x),B_xa) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) )
% 202.58/202.66 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_x_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_F_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_image__eqI,axiom,
% 202.58/202.66 ! [T_b,V_A_2,T_c,V_x_2,V_f_2,V_b_2] :
% 202.58/202.66 ( V_b_2 = hAPP(V_f_2,V_x_2)
% 202.58/202.66 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 202.58/202.66 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_DiffE,axiom,
% 202.58/202.66 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 202.58/202.66 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 202.58/202.66 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 202.58/202.66 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_DiffI,axiom,
% 202.58/202.66 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 202.58/202.66 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 202.58/202.66 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2))
% 202.58/202.66 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_less__not__refl,axiom,
% 202.58/202.66 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_nat__neq__iff,axiom,
% 202.58/202.66 ! [V_n_2,V_m_2] :
% 202.58/202.66 ( V_m_2 != V_n_2
% 202.58/202.66 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 202.58/202.66 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_linorder__neqE__nat,axiom,
% 202.58/202.66 ! [V_y,V_x] :
% 202.58/202.66 ( V_x != V_y
% 202.58/202.66 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 202.58/202.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y),V_x)) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_less__irrefl__nat,axiom,
% 202.58/202.66 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_less__not__refl2,axiom,
% 202.58/202.66 ! [V_m,V_n] :
% 202.58/202.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m))
% 202.58/202.66 => V_m != V_n ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_less__not__refl3,axiom,
% 202.58/202.66 ! [V_t,V_s] :
% 202.58/202.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s),V_t))
% 202.58/202.66 => V_s != V_t ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_nat__less__cases,axiom,
% 202.58/202.66 ! [V_P_2,V_n_2,V_m_2] :
% 202.58/202.66 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 202.58/202.66 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2)) )
% 202.58/202.66 => ( ( V_m_2 = V_n_2
% 202.58/202.66 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2)) )
% 202.58/202.66 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 202.58/202.66 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2)) )
% 202.58/202.66 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2)) ) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_psubset__trans,axiom,
% 202.58/202.66 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 202.58/202.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 202.58/202.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 202.58/202.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_minus__apply,axiom,
% 202.58/202.66 ! [V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 202.58/202.66 ( class_Groups_Ominus(T_b)
% 202.58/202.66 => hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,T_b)),V_A_2),V_B_2),V_x_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(V_A_2,V_x_2)),hAPP(V_B_2,V_x_2)) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_image__diff__subset,axiom,
% 202.58/202.66 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_B_2))),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_Diff__idemp,axiom,
% 202.58/202.66 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_diff__eq__diff__eq,axiom,
% 202.58/202.66 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 202.58/202.66 ( class_Groups_Oab__group__add(T_b)
% 202.58/202.66 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_c_2),V_d_2)
% 202.58/202.66 => ( V_a_2 = V_b_2
% 202.58/202.66 <=> V_c_2 = V_d_2 ) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_image__Pow__surj,axiom,
% 202.58/202.66 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] :
% 202.58/202.66 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_B_2
% 202.58/202.66 => hAPP(c_Set_Oimage(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),c_Set_Oimage(T_c,T_b,V_f_2)),hAPP(c_Set_OPow(T_c),V_A_2)) = hAPP(c_Set_OPow(T_b),V_B_2) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_rev__image__eqI,axiom,
% 202.58/202.66 ! [T_c,V_f_2,V_b_2,V_A_2,V_x_2,T_b] :
% 202.58/202.66 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.58/202.66 => ( V_b_2 = hAPP(V_f_2,V_x_2)
% 202.58/202.66 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_imageI,axiom,
% 202.58/202.66 ! [V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 202.58/202.66 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.58/202.66 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_image__iff,axiom,
% 202.58/202.66 ! [V_A_2,V_f_2,T_c,V_z_2,T_b] :
% 202.58/202.66 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 202.58/202.66 <=> ? [B_x] :
% 202.58/202.66 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 202.58/202.66 & V_z_2 = hAPP(V_f_2,B_x) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_diff__eq__diff__less__eq,axiom,
% 202.58/202.66 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 202.58/202.66 ( class_Groups_Oordered__ab__group__add(T_b)
% 202.58/202.66 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_c_2),V_d_2)
% 202.58/202.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 202.58/202.66 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_d_2)) ) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_diff__eq__diff__less,axiom,
% 202.58/202.66 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 202.58/202.66 ( class_Groups_Oordered__ab__group__add(T_b)
% 202.58/202.66 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_c_2),V_d_2)
% 202.58/202.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 202.58/202.66 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2)) ) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_empty__is__image,axiom,
% 202.58/202.66 ! [V_A_2,V_f_2,T_c,T_b] :
% 202.58/202.66 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)
% 202.58/202.66 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_image__empty,axiom,
% 202.58/202.66 ! [V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_image__is__empty,axiom,
% 202.58/202.66 ! [V_A_2,V_f_2,T_b,T_c] :
% 202.58/202.66 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.66 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_image__insert,axiom,
% 202.58/202.66 ! [V_B_2,V_a_2,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),hAPP(V_f_2,V_a_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_B_2)) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_image__mono,axiom,
% 202.58/202.66 ! [V_f_2,T_c,V_B_2,V_A_2,T_b] :
% 202.58/202.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 202.58/202.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2))) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_subset__image__iff,axiom,
% 202.58/202.66 ! [V_A_2,V_f_2,T_c,V_B_2,T_b] :
% 202.58/202.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 202.58/202.66 <=> ? [B_AA] :
% 202.58/202.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),B_AA),V_A_2))
% 202.58/202.66 & V_B_2 = hAPP(c_Set_Oimage(T_c,T_b,V_f_2),B_AA) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_minus__diff__eq,axiom,
% 202.58/202.66 ! [V_b,V_a,T_a] :
% 202.58/202.66 ( class_Groups_Oab__group__add(T_a)
% 202.58/202.66 => 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) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_image__Un,axiom,
% 202.58/202.66 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_B_2)) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_DiffD2,axiom,
% 202.58/202.66 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 202.58/202.66 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 202.58/202.66 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_DiffD1,axiom,
% 202.58/202.66 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 202.58/202.66 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 202.58/202.66 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_Diff__iff,axiom,
% 202.58/202.66 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 202.58/202.66 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 202.58/202.66 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 202.58/202.66 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_empty__Diff,axiom,
% 202.58/202.66 ! [V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_Diff__empty,axiom,
% 202.58/202.66 ! [V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = V_A_2 ).
% 202.58/202.66
% 202.58/202.66 fof(fact_Diff__cancel,axiom,
% 202.58/202.66 ! [V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_double__diff,axiom,
% 202.58/202.66 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 202.58/202.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 202.58/202.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 202.58/202.66 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) = V_A_2 ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_Diff__mono,axiom,
% 202.58/202.66 ! [V_B_2,V_D_2,V_C_2,V_A_2,T_b] :
% 202.58/202.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 202.58/202.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_D_2),V_B_2))
% 202.58/202.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2))) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_Diff__subset,axiom,
% 202.58/202.66 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_A_2)) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_Un__Diff,axiom,
% 202.58/202.66 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_Un__Diff__cancel2,axiom,
% 202.58/202.66 ! [V_A_2,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_Un__Diff__cancel,axiom,
% 202.58/202.66 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_Diff__Int2,axiom,
% 202.58/202.66 ! [V_B_2,V_C_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)),V_B_2) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_Diff__Int__distrib2,axiom,
% 202.58/202.66 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_Int__Diff,axiom,
% 202.58/202.66 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_Diff__Int__distrib,axiom,
% 202.58/202.66 ! [V_B_2,V_A_2,V_C_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_image__Pow__mono,axiom,
% 202.58/202.66 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 202.58/202.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)),V_B_2))
% 202.58/202.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),c_Set_Oimage(T_c,T_b,V_f_2)),hAPP(c_Set_OPow(T_c),V_A_2))),hAPP(c_Set_OPow(T_b),V_B_2))) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_insert__image,axiom,
% 202.58/202.66 ! [V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 202.58/202.66 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.58/202.66 => hAPP(hAPP(c_Set_Oinsert(T_c),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_rangeI,axiom,
% 202.58/202.66 ! [T_c,V_x_2,V_f_2,T_b] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_range__eqI,axiom,
% 202.58/202.66 ! [T_c,T_b,V_x_2,V_f_2,V_b_2] :
% 202.58/202.66 ( V_b_2 = hAPP(V_f_2,V_x_2)
% 202.58/202.66 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_diff__eq,axiom,
% 202.58/202.66 ! [V_y,V_x,T_a] :
% 202.58/202.66 ( class_Lattices_Oboolean__algebra(T_a)
% 202.58/202.66 => 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)) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_image__Int__subset,axiom,
% 202.58/202.66 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_B_2)))) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_image__uminus__atLeastAtMost,axiom,
% 202.58/202.66 ! [V_y_2,V_x_2,T_b] :
% 202.58/202.66 ( class_Groups_Oordered__ab__group__add(T_b)
% 202.58/202.66 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_x_2,V_y_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_insert__Diff__if,axiom,
% 202.58/202.66 ! [V_A_2,V_B_2,V_x_2,T_b] :
% 202.58/202.66 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 202.58/202.66 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) )
% 202.58/202.66 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 202.58/202.66 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_insert__Diff1,axiom,
% 202.58/202.66 ! [V_A_2,V_B_2,V_x_2,T_b] :
% 202.58/202.66 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 202.58/202.66 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_insert__Diff__single,axiom,
% 202.58/202.66 ! [V_A_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_Diff__insert2,axiom,
% 202.58/202.66 ! [V_B_2,V_a_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_B_2) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_Diff__insert,axiom,
% 202.58/202.66 ! [V_B_2,V_a_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_Diff__UNIV,axiom,
% 202.58/202.66 ! [V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_Diff__disjoint,axiom,
% 202.58/202.66 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_Diff__triv,axiom,
% 202.58/202.66 ! [V_B_2,V_A_2,T_b] :
% 202.58/202.66 ( 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))
% 202.58/202.66 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_Diff__subset__conv,axiom,
% 202.58/202.66 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 202.58/202.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2))
% 202.58/202.66 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_Diff__partition,axiom,
% 202.58/202.66 ! [V_B_2,V_A_2,T_b] :
% 202.58/202.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 202.58/202.66 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) = V_B_2 ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_Un__Diff__Int,axiom,
% 202.58/202.66 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = V_A_2 ).
% 202.58/202.66
% 202.58/202.66 fof(fact_Diff__Un,axiom,
% 202.58/202.66 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_Diff__Int,axiom,
% 202.58/202.66 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_ivl__diff,axiom,
% 202.58/202.66 ! [V_m_2,V_n_2,V_i_2,T_b] :
% 202.58/202.66 ( class_Orderings_Olinorder(T_b)
% 202.58/202.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_i_2),V_n_2))
% 202.58/202.66 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_i_2),V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_i_2),V_n_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_n_2),V_m_2) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_image__uminus__greaterThanLessThan,axiom,
% 202.58/202.66 ! [V_y_2,V_x_2,T_b] :
% 202.58/202.66 ( class_Groups_Oordered__ab__group__add(T_b)
% 202.58/202.66 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_x_2,V_y_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_Compl__eq__Diff__UNIV,axiom,
% 202.58/202.66 ! [V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_A_2) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_Compl__Diff__eq,axiom,
% 202.58/202.66 ! [V_B_2,V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_Diff__Compl,axiom,
% 202.58/202.66 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_Diff__eq,axiom,
% 202.58/202.66 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_atLeast__Suc,axiom,
% 202.58/202.66 ! [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)))) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_greaterThan__Suc,axiom,
% 202.58/202.66 ! [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)))) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_insert__Diff,axiom,
% 202.58/202.66 ! [V_A_2,V_a_2,T_b] :
% 202.58/202.66 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 202.58/202.66 => hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = V_A_2 ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_Diff__insert__absorb,axiom,
% 202.58/202.66 ! [V_A_2,V_x_2,T_b] :
% 202.58/202.66 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.58/202.66 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_A_2 ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_image__uminus__atLeastLessThan,axiom,
% 202.58/202.66 ! [V_y_2,V_x_2,T_b] :
% 202.58/202.66 ( class_Groups_Oordered__ab__group__add(T_b)
% 202.58/202.66 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_x_2),V_y_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_image__uminus__greaterThanAtMost,axiom,
% 202.58/202.66 ! [V_y_2,V_x_2,T_b] :
% 202.58/202.66 ( class_Groups_Oordered__ab__group__add(T_b)
% 202.58/202.66 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_x_2,V_y_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_single__Diff__lessThan,axiom,
% 202.58/202.66 ! [V_k_2,T_b] :
% 202.58/202.66 ( class_Orderings_Oorder(T_b)
% 202.58/202.66 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_k_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_k_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_image__uminus__lessThan,axiom,
% 202.58/202.66 ! [V_x_2,T_b] :
% 202.58/202.66 ( class_Groups_Oordered__ab__group__add(T_b)
% 202.58/202.66 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_x_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_image__uminus__greaterThan,axiom,
% 202.58/202.66 ! [V_x_2,T_b] :
% 202.58/202.66 ( class_Groups_Oordered__ab__group__add(T_b)
% 202.58/202.66 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_x_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_image__uminus__atMost,axiom,
% 202.58/202.66 ! [V_x_2,T_b] :
% 202.58/202.66 ( class_Groups_Oordered__ab__group__add(T_b)
% 202.58/202.66 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_x_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_image__uminus__atLeast,axiom,
% 202.58/202.66 ! [V_x_2,T_b] :
% 202.58/202.66 ( class_Groups_Oordered__ab__group__add(T_b)
% 202.58/202.66 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_x_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_surj__Compl__image__subset,axiom,
% 202.58/202.66 ! [V_A_2,V_f_2,T_b,T_c] :
% 202.58/202.66 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)))) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_Cantors__paradox,axiom,
% 202.58/202.66 ! [V_A_2,T_b] :
% 202.58/202.66 ~ ? [B_f] : hAPP(c_Set_Oimage(T_b,tc_fun(T_b,tc_HOL_Obool),B_f),V_A_2) = hAPP(c_Set_OPow(T_b),V_A_2) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_termination__basic__simps_I5_J,axiom,
% 202.58/202.66 ! [V_y,V_x] :
% 202.58/202.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 202.58/202.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y)) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_fold__graph_H_Ointros_I2_J,axiom,
% 202.58/202.66 ! [V_y_2,V_z_2,V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 202.58/202.66 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.58/202.66 => ( c_Nitpick_Ofold__graph_H(T_b,T_c,V_f_2,V_z_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_y_2)
% 202.58/202.66 => c_Nitpick_Ofold__graph_H(T_b,T_c,V_f_2,V_z_2,V_A_2,hAPP(hAPP(V_f_2,V_x_2),V_y_2)) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_Diff1__fold__graph,axiom,
% 202.58/202.66 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 202.58/202.66 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_y_2))
% 202.58/202.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.58/202.66 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),hAPP(hAPP(V_f_2,V_x_2),V_y_2))) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_fun__upd__image,axiom,
% 202.58/202.66 ! [V_y_2,V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 202.58/202.66 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.58/202.66 => hAPP(c_Set_Oimage(T_b,T_c,c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2)),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) )
% 202.58/202.66 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.58/202.66 => hAPP(c_Set_Oimage(T_b,T_c,c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2)),V_A_2) = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_atMost__0,axiom,
% 202.58/202.66 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))) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_psubset__imp__ex__mem,axiom,
% 202.58/202.66 ! [V_B_2,V_A_2,T_b] :
% 202.58/202.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 202.58/202.66 => ? [B_b] : hBOOL(hAPP(hAPP(c_member(T_b),B_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_inc__induct,axiom,
% 202.58/202.66 ! [V_P_2,V_j_2,V_i_2] :
% 202.58/202.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 202.58/202.66 => ( hBOOL(hAPP(V_P_2,V_j_2))
% 202.58/202.66 => ( ! [B_i] :
% 202.58/202.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_j_2))
% 202.58/202.66 => ( hBOOL(hAPP(V_P_2,hAPP(c_Nat_OSuc,B_i)))
% 202.58/202.66 => hBOOL(hAPP(V_P_2,B_i)) ) )
% 202.58/202.66 => hBOOL(hAPP(V_P_2,V_i_2)) ) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_fun__upd__triv,axiom,
% 202.58/202.66 ! [V_x_2,V_f_2,T_c,T_b] : c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,hAPP(V_f_2,V_x_2)) = V_f_2 ).
% 202.58/202.66
% 202.58/202.66 fof(fact_less__zeroE,axiom,
% 202.58/202.66 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_le0,axiom,
% 202.58/202.66 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_zero__less__Suc,axiom,
% 202.58/202.66 ! [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))) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_zero__less__diff,axiom,
% 202.58/202.66 ! [V_m_2,V_n_2] :
% 202.58/202.66 ( 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)))
% 202.58/202.66 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_diff__less,axiom,
% 202.58/202.66 ! [V_m,V_n] :
% 202.58/202.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 202.58/202.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 202.58/202.66 => 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)) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_diffs0__imp__equal,axiom,
% 202.58/202.66 ! [V_n,V_m] :
% 202.58/202.66 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.58/202.66 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.58/202.66 => V_m = V_n ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_diff__self__eq__0,axiom,
% 202.58/202.66 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_minus__nat_Odiff__0,axiom,
% 202.58/202.66 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ).
% 202.58/202.66
% 202.58/202.66 fof(fact_diff__0__eq__0,axiom,
% 202.58/202.66 ! [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) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_bot__nat__def,axiom,
% 202.58/202.66 c_Orderings_Obot__class_Obot(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_diff__is__0__eq,axiom,
% 202.58/202.66 ! [V_n_2,V_m_2] :
% 202.58/202.66 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.58/202.66 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_diff__is__0__eq_H,axiom,
% 202.58/202.66 ! [V_n,V_m] :
% 202.58/202.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 202.58/202.66 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_zero__reorient,axiom,
% 202.58/202.66 ! [V_x_2,T_b] :
% 202.58/202.66 ( class_Groups_Ozero(T_b)
% 202.58/202.66 => ( c_Groups_Ozero__class_Ozero(T_b) = V_x_2
% 202.58/202.66 <=> V_x_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_fun__upd__idem,axiom,
% 202.58/202.66 ! [T_b,T_c,V_y_2,V_x_2,V_f_2] :
% 202.58/202.66 ( hAPP(V_f_2,V_x_2) = V_y_2
% 202.58/202.66 => c_Fun_Ofun__upd(T_c,T_b,V_f_2,V_x_2,V_y_2) = V_f_2 ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_fun__upd__other,axiom,
% 202.58/202.66 ! [V_y_2,V_f_2,T_c,T_b,V_x_2,V_z_2] :
% 202.58/202.66 ( V_z_2 != V_x_2
% 202.58/202.66 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_z_2) = hAPP(V_f_2,V_z_2) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_fun__upd__twist,axiom,
% 202.58/202.66 ! [V_d_2,V_b_2,V_m_2,T_c,T_b,V_c_2,V_a_2] :
% 202.58/202.66 ( V_a_2 != V_c_2
% 202.58/202.66 => c_Fun_Ofun__upd(T_b,T_c,c_Fun_Ofun__upd(T_b,T_c,V_m_2,V_a_2,V_b_2),V_c_2,V_d_2) = c_Fun_Ofun__upd(T_b,T_c,c_Fun_Ofun__upd(T_b,T_c,V_m_2,V_c_2,V_d_2),V_a_2,V_b_2) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_fun__upd__apply,axiom,
% 202.58/202.66 ! [V_y_2,V_f_2,T_c,T_b,V_x_2,V_z_2] :
% 202.58/202.66 ( ( V_z_2 = V_x_2
% 202.58/202.66 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_z_2) = V_y_2 )
% 202.58/202.66 & ( V_z_2 != V_x_2
% 202.58/202.66 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_z_2) = hAPP(V_f_2,V_z_2) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_fun__upd__same,axiom,
% 202.58/202.66 ! [V_y_2,V_x_2,V_f_2,T_b,T_c] : hAPP(c_Fun_Ofun__upd(T_c,T_b,V_f_2,V_x_2,V_y_2),V_x_2) = V_y_2 ).
% 202.58/202.66
% 202.58/202.66 fof(fact_fun__upd__upd,axiom,
% 202.58/202.66 ! [V_z_2,V_y_2,V_x_2,V_f_2,T_c,T_b] : c_Fun_Ofun__upd(T_b,T_c,c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_x_2,V_z_2) = c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_z_2) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_fun__upd__idem__iff,axiom,
% 202.58/202.66 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 202.58/202.66 ( c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2) = V_f_2
% 202.58/202.66 <=> hAPP(V_f_2,V_x_2) = V_y_2 ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_diff__Suc__less,axiom,
% 202.58/202.66 ! [V_i,V_n] :
% 202.58/202.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 202.58/202.66 => 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)) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_Suc__pred,axiom,
% 202.58/202.66 ! [V_n] :
% 202.58/202.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 202.58/202.66 => 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 ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_fold__graph_H_Oequations_I1_J,axiom,
% 202.58/202.66 ! [V_a2_2,V_a1_2,T_c,T_b] : c_Nitpick_Ofold__graph_H(T_b,T_c,V_a1_2,V_a2_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_a2_2) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_fold__graph_H_Ointros_I1_J,axiom,
% 202.58/202.66 ! [V_z_2,V_f_2,T_c,T_b] : c_Nitpick_Ofold__graph_H(T_b,T_c,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_z_2) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_Suc__diff__diff,axiom,
% 202.58/202.66 ! [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) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_diff__Suc__Suc,axiom,
% 202.58/202.66 ! [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) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_diff__less__mono2,axiom,
% 202.58/202.66 ! [V_l,V_n,V_m] :
% 202.58/202.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 202.58/202.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_l))
% 202.58/202.66 => 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))) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_less__imp__diff__less,axiom,
% 202.58/202.66 ! [V_n,V_k,V_j] :
% 202.58/202.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k))
% 202.58/202.66 => 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)) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_le__diff__iff,axiom,
% 202.58/202.66 ! [V_n_2,V_m_2,V_k_2] :
% 202.58/202.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 202.58/202.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2))
% 202.58/202.66 => ( 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)))
% 202.58/202.66 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_Nat_Odiff__diff__eq,axiom,
% 202.58/202.66 ! [V_n,V_m,V_k] :
% 202.58/202.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_m))
% 202.58/202.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n))
% 202.58/202.66 => 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) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_eq__diff__iff,axiom,
% 202.58/202.66 ! [V_n_2,V_m_2,V_k_2] :
% 202.58/202.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 202.58/202.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2))
% 202.58/202.66 => ( 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)
% 202.58/202.66 <=> V_m_2 = V_n_2 ) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_diff__diff__cancel,axiom,
% 202.58/202.66 ! [V_n,V_i] :
% 202.58/202.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_n))
% 202.58/202.66 => 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 ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_diff__le__mono,axiom,
% 202.58/202.66 ! [V_l,V_n,V_m] :
% 202.58/202.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 202.58/202.66 => 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))) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_diff__le__mono2,axiom,
% 202.58/202.66 ! [V_l,V_n,V_m] :
% 202.58/202.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 202.58/202.66 => 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))) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_diff__le__self,axiom,
% 202.58/202.66 ! [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)) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_diff__0__right,axiom,
% 202.58/202.66 ! [V_a,T_a] :
% 202.58/202.66 ( class_Groups_Ogroup__add(T_a)
% 202.58/202.66 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_diff__self,axiom,
% 202.58/202.66 ! [V_a,T_a] :
% 202.58/202.66 ( class_Groups_Ogroup__add(T_a)
% 202.58/202.66 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_eq__iff__diff__eq__0,axiom,
% 202.58/202.66 ! [V_b_2,V_a_2,T_b] :
% 202.58/202.66 ( class_Groups_Oab__group__add(T_b)
% 202.58/202.66 => ( V_a_2 = V_b_2
% 202.58/202.66 <=> hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_right__minus__eq,axiom,
% 202.58/202.66 ! [V_b_2,V_a_2,T_b] :
% 202.58/202.66 ( class_Groups_Ogroup__add(T_b)
% 202.58/202.66 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b)
% 202.58/202.66 <=> V_a_2 = V_b_2 ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_neg__equal__zero,axiom,
% 202.58/202.66 ! [V_a_2,T_b] :
% 202.58/202.66 ( class_Groups_Olinordered__ab__group__add(T_b)
% 202.58/202.66 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = V_a_2
% 202.58/202.66 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_neg__equal__0__iff__equal,axiom,
% 202.58/202.66 ! [V_a_2,T_b] :
% 202.58/202.66 ( class_Groups_Ogroup__add(T_b)
% 202.58/202.66 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 202.58/202.66 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_equal__neg__zero,axiom,
% 202.58/202.66 ! [V_a_2,T_b] :
% 202.58/202.66 ( class_Groups_Olinordered__ab__group__add(T_b)
% 202.58/202.66 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)
% 202.58/202.66 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_neg__0__equal__iff__equal,axiom,
% 202.58/202.66 ! [V_a_2,T_b] :
% 202.58/202.66 ( class_Groups_Ogroup__add(T_b)
% 202.58/202.66 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)
% 202.58/202.66 <=> c_Groups_Ozero__class_Ozero(T_b) = V_a_2 ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_minus__zero,axiom,
% 202.58/202.66 ! [T_a] :
% 202.58/202.66 ( class_Groups_Ogroup__add(T_a)
% 202.58/202.66 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_greaterThan__0,axiom,
% 202.58/202.66 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))) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_Suc__neq__Zero,axiom,
% 202.58/202.66 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_Zero__neq__Suc,axiom,
% 202.58/202.66 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_nat_Osimps_I3_J,axiom,
% 202.58/202.66 ! [V_nat_H_1] : hAPP(c_Nat_OSuc,V_nat_H_1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_Suc__not__Zero,axiom,
% 202.58/202.66 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_nat_Osimps_I2_J,axiom,
% 202.58/202.66 ! [V_nat_H] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_nat_H) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_Zero__not__Suc,axiom,
% 202.58/202.66 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_gr0I,axiom,
% 202.58/202.66 ! [V_n] :
% 202.58/202.66 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.58/202.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_gr__implies__not0,axiom,
% 202.58/202.66 ! [V_n,V_m] :
% 202.58/202.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 202.58/202.66 => V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_less__nat__zero__code,axiom,
% 202.58/202.66 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_neq0__conv,axiom,
% 202.58/202.66 ! [V_n_2] :
% 202.58/202.66 ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.58/202.66 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_not__less0,axiom,
% 202.58/202.66 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_le__0__eq,axiom,
% 202.58/202.66 ! [V_n_2] :
% 202.58/202.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 202.58/202.66 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_less__eq__nat_Osimps_I1_J,axiom,
% 202.58/202.66 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_fold__graph_Oequations_I1_J,axiom,
% 202.58/202.66 ! [V_z_2,V_f_2,T_c,T_b] : hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_z_2)) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_fold__graph_OemptyI,axiom,
% 202.58/202.66 ! [V_z_2,V_f_2,T_c,T_b] : hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_z_2)) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_empty__fold__graphE,axiom,
% 202.58/202.66 ! [V_x_2,V_z_2,V_f_2,T_c,T_b] :
% 202.58/202.66 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_x_2))
% 202.58/202.66 => V_x_2 = V_z_2 ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_nat__case__0,axiom,
% 202.58/202.66 ! [V_f2_2,V_f1_2,T_b] : c_Nat_Onat_Onat__case(T_b,V_f1_2,V_f2_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_f1_2 ).
% 202.58/202.66
% 202.58/202.66 fof(fact_lessThan__Suc__eq__insert__0,axiom,
% 202.58/202.66 ! [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))) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_atLeast__0,axiom,
% 202.58/202.66 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)) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_of__nat__aux_Osimps_I1_J,axiom,
% 202.58/202.66 ! [V_i_2,V_inc_2,T_b] :
% 202.58/202.66 ( class_Rings_Osemiring__1(T_b)
% 202.58/202.66 => c_Nat_Osemiring__1__class_Oof__nat__aux(T_b,V_inc_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_i_2) = V_i_2 ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_image__Suc__atLeastLessThan,axiom,
% 202.58/202.66 ! [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)) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_diff__less__Suc,axiom,
% 202.58/202.66 ! [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))) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_Suc__diff__le,axiom,
% 202.58/202.66 ! [V_m,V_n] :
% 202.58/202.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 202.58/202.66 => 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)) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_less__diff__iff,axiom,
% 202.58/202.66 ! [V_n_2,V_m_2,V_k_2] :
% 202.58/202.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 202.58/202.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2))
% 202.58/202.66 => ( 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)))
% 202.58/202.66 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_diff__less__mono,axiom,
% 202.58/202.66 ! [V_c,V_b,V_a] :
% 202.58/202.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a),V_b))
% 202.58/202.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_c),V_a))
% 202.58/202.66 => 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))) ) ) ).
% 202.58/202.66
% 202.58/202.66 fof(fact_image__Suc__atLeastAtMost,axiom,
% 202.58/202.67 ! [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)) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_le__iff__diff__le__0,axiom,
% 202.58/202.67 ! [V_b_2,V_a_2,T_b] :
% 202.58/202.67 ( class_Groups_Oordered__ab__group__add(T_b)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 202.58/202.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_less__iff__diff__less__0,axiom,
% 202.58/202.67 ! [V_b_2,V_a_2,T_b] :
% 202.58/202.67 ( class_Groups_Oordered__ab__group__add(T_b)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 202.58/202.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_neg__0__le__iff__le,axiom,
% 202.58/202.67 ! [V_a_2,T_b] :
% 202.58/202.67 ( class_Groups_Oordered__ab__group__add(T_b)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)))
% 202.58/202.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_le__minus__self__iff,axiom,
% 202.58/202.67 ! [V_a_2,T_b] :
% 202.58/202.67 ( class_Groups_Olinordered__ab__group__add(T_b)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)))
% 202.58/202.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_neg__le__0__iff__le,axiom,
% 202.58/202.67 ! [V_a_2,T_b] :
% 202.58/202.67 ( class_Groups_Oordered__ab__group__add(T_b)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 202.58/202.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_minus__le__self__iff,axiom,
% 202.58/202.67 ! [V_a_2,T_b] :
% 202.58/202.67 ( class_Groups_Olinordered__ab__group__add(T_b)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_a_2))
% 202.58/202.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_neg__less__nonneg,axiom,
% 202.58/202.67 ! [V_a_2,T_b] :
% 202.58/202.67 ( class_Groups_Olinordered__ab__group__add(T_b)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_a_2))
% 202.58/202.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_neg__less__0__iff__less,axiom,
% 202.58/202.67 ! [V_a_2,T_b] :
% 202.58/202.67 ( class_Groups_Oordered__ab__group__add(T_b)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 202.58/202.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_neg__0__less__iff__less,axiom,
% 202.58/202.67 ! [V_a_2,T_b] :
% 202.58/202.67 ( class_Groups_Oordered__ab__group__add(T_b)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)))
% 202.58/202.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_diff__0,axiom,
% 202.58/202.67 ! [V_a,T_a] :
% 202.58/202.67 ( class_Groups_Ogroup__add(T_a)
% 202.58/202.67 => 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) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_gr0__conv__Suc,axiom,
% 202.58/202.67 ! [V_n_2] :
% 202.58/202.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))
% 202.58/202.67 <=> ? [B_m] : V_n_2 = hAPP(c_Nat_OSuc,B_m) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_less__Suc0,axiom,
% 202.58/202.67 ! [V_n_2] :
% 202.58/202.67 ( 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))))
% 202.58/202.67 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_less__Suc__eq__0__disj,axiom,
% 202.58/202.67 ! [V_n_2,V_m_2] :
% 202.58/202.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 202.58/202.67 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.58/202.67 | ? [B_j] :
% 202.58/202.67 ( V_m_2 = hAPP(c_Nat_OSuc,B_j)
% 202.58/202.67 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_n_2)) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_fold__graph_OinsertI,axiom,
% 202.58/202.67 ! [V_y_2,V_z_2,V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 202.58/202.67 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.58/202.67 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 202.58/202.67 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),hAPP(hAPP(V_f_2,V_x_2),V_y_2))) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_atLeastLessThan0,axiom,
% 202.58/202.67 ! [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)) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_atLeast0LessThan,axiom,
% 202.58/202.67 ! [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) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_lessThan__0,axiom,
% 202.58/202.67 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)) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_atLeast0AtMost,axiom,
% 202.58/202.67 ! [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) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_ex__nat__less,axiom,
% 202.58/202.67 ! [V_P_2,V_n_2] :
% 202.58/202.67 ( ? [B_m] :
% 202.58/202.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_n_2))
% 202.58/202.67 & hBOOL(hAPP(V_P_2,B_m)) )
% 202.58/202.67 <=> ? [B_x] :
% 202.58/202.67 ( 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)))
% 202.58/202.67 & hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_all__nat__less,axiom,
% 202.58/202.67 ! [V_P_2,V_n_2] :
% 202.58/202.67 ( ! [B_m] :
% 202.58/202.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_n_2))
% 202.58/202.67 => hBOOL(hAPP(V_P_2,B_m)) )
% 202.58/202.67 <=> ! [B_x] :
% 202.58/202.67 ( 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)))
% 202.58/202.67 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_all__nat__less__eq,axiom,
% 202.58/202.67 ! [V_P_2,V_n_2] :
% 202.58/202.67 ( ! [B_m] :
% 202.58/202.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_n_2))
% 202.58/202.67 => hBOOL(hAPP(V_P_2,B_m)) )
% 202.58/202.67 <=> ! [B_x] :
% 202.58/202.67 ( 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)))
% 202.58/202.67 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_ex__nat__less__eq,axiom,
% 202.58/202.67 ! [V_P_2,V_n_2] :
% 202.58/202.67 ( ? [B_m] :
% 202.58/202.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_n_2))
% 202.58/202.67 & hBOOL(hAPP(V_P_2,B_m)) )
% 202.58/202.67 <=> ? [B_x] :
% 202.58/202.67 ( 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)))
% 202.58/202.67 & hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_less__minus__self__iff,axiom,
% 202.58/202.67 ! [V_a_2,T_b] :
% 202.58/202.67 ( class_Rings_Olinordered__idom(T_b)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)))
% 202.58/202.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_fold1Set_Ointros,axiom,
% 202.58/202.67 ! [V_x_2,V_A_2,V_a_2,V_f_2,T_b] :
% 202.58/202.67 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,V_a_2,V_A_2),V_x_2))
% 202.58/202.67 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 202.58/202.67 => hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)),V_x_2)) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_fold__graph_H_Oequations_I2_J,axiom,
% 202.58/202.67 ! [V_a5_2,V_a1_2,V_a2_2,V_a4_2,V_a3_2,T_c,T_b] :
% 202.58/202.67 ( c_Nitpick_Ofold__graph_H(T_b,T_c,V_a3_2,V_a4_2,V_a2_2,hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2))
% 202.58/202.67 <=> ( ( V_a2_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.67 & hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = V_a4_2 )
% 202.58/202.67 | ? [B_x,B_y] :
% 202.58/202.67 ( hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = hAPP(hAPP(V_a3_2,B_x),B_y)
% 202.58/202.67 & hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a2_2))
% 202.58/202.67 & c_Nitpick_Ofold__graph_H(T_b,T_c,V_a3_2,V_a4_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_a2_2),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),B_y) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_fold__graph__permute__diff,axiom,
% 202.58/202.67 ! [V_a_2,V_x_2,V_A_2,V_b_2,T_b] :
% 202.58/202.67 ( class_Groups_Oab__semigroup__mult(T_b)
% 202.58/202.67 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b),V_b_2,V_A_2),V_x_2))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 202.58/202.67 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 202.58/202.67 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b),V_a_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),V_x_2)) ) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_inj__on__Un,axiom,
% 202.58/202.67 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 202.58/202.67 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 202.58/202.67 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 202.58/202.67 & c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 202.58/202.67 & hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_inj__on__empty,axiom,
% 202.58/202.67 ! [V_f_2,T_c,T_b] : c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_inj__uminus,axiom,
% 202.58/202.67 ! [V_A_2,T_b] :
% 202.58/202.67 ( class_Groups_Oordered__ab__group__add(T_b)
% 202.58/202.67 => c_Fun_Oinj__on(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b),V_A_2) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_diff__mult__distrib,axiom,
% 202.58/202.67 ! [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)) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_diff__commute,axiom,
% 202.58/202.67 ! [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) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_diff__mult__distrib2,axiom,
% 202.58/202.67 ! [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)) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_divisors__zero,axiom,
% 202.58/202.67 ! [V_b,V_a,T_a] :
% 202.58/202.67 ( class_Rings_Ono__zero__divisors(T_a)
% 202.58/202.67 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a)
% 202.58/202.67 => ( V_a = c_Groups_Ozero__class_Ozero(T_a)
% 202.58/202.67 | V_b = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_no__zero__divisors,axiom,
% 202.58/202.67 ! [V_b,V_a,T_a] :
% 202.58/202.67 ( class_Rings_Ono__zero__divisors(T_a)
% 202.58/202.67 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 202.58/202.67 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 202.58/202.67 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_mult__eq__0__iff,axiom,
% 202.58/202.67 ! [V_b_2,V_a_2,T_b] :
% 202.58/202.67 ( class_Rings_Oring__no__zero__divisors(T_b)
% 202.58/202.67 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b)
% 202.58/202.67 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_b)
% 202.58/202.67 | V_b_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_inj__on__def,axiom,
% 202.58/202.67 ! [V_A_2,V_f_2,T_c,T_b] :
% 202.58/202.67 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 202.58/202.67 <=> ! [B_x] :
% 202.58/202.67 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 202.58/202.67 => ! [B_xa] :
% 202.58/202.67 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 202.58/202.67 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_xa)
% 202.58/202.67 => B_x = B_xa ) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_mult__zero__right,axiom,
% 202.58/202.67 ! [V_a,T_a] :
% 202.58/202.67 ( class_Rings_Omult__zero(T_a)
% 202.58/202.67 => 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) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_mult__zero__left,axiom,
% 202.58/202.67 ! [V_a,T_a] :
% 202.58/202.67 ( class_Rings_Omult__zero(T_a)
% 202.58/202.67 => 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) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_square__eq__iff,axiom,
% 202.58/202.67 ! [V_b_2,V_a_2,T_b] :
% 202.58/202.67 ( class_Rings_Oidom(T_b)
% 202.58/202.67 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_a_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_b_2)
% 202.58/202.67 <=> ( V_a_2 = V_b_2
% 202.58/202.67 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_minus__mult__minus,axiom,
% 202.58/202.67 ! [V_b,V_a,T_a] :
% 202.58/202.67 ( class_Rings_Oring(T_a)
% 202.58/202.67 => 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) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_minus__mult__commute,axiom,
% 202.58/202.67 ! [V_b,V_a,T_a] :
% 202.58/202.67 ( class_Rings_Oring(T_a)
% 202.58/202.67 => 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)) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_minus__mult__left,axiom,
% 202.58/202.67 ! [V_b,V_a,T_a] :
% 202.58/202.67 ( class_Rings_Oring(T_a)
% 202.58/202.67 => 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) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_minus__mult__right,axiom,
% 202.58/202.67 ! [V_b,V_a,T_a] :
% 202.58/202.67 ( class_Rings_Oring(T_a)
% 202.58/202.67 => 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)) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_mult__left__idem,axiom,
% 202.58/202.67 ! [V_b,V_a,T_a] :
% 202.58/202.67 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 202.58/202.67 => 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) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_mult__idem,axiom,
% 202.58/202.67 ! [V_x,T_a] :
% 202.58/202.67 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 202.58/202.67 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x) = V_x ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_times_Oidem,axiom,
% 202.58/202.67 ! [V_a,T_a] :
% 202.58/202.67 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 202.58/202.67 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a) = V_a ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_ab__semigroup__mult__class_Omult__ac_I1_J,axiom,
% 202.58/202.67 ! [V_c,V_b,V_a,T_a] :
% 202.58/202.67 ( class_Groups_Oab__semigroup__mult(T_a)
% 202.58/202.67 => 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)) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_inj__onD,axiom,
% 202.58/202.67 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 202.58/202.67 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 202.58/202.67 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 202.58/202.67 => V_x_2 = V_y_2 ) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_inj__on__iff,axiom,
% 202.58/202.67 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 202.58/202.67 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 202.58/202.67 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 202.58/202.67 <=> V_x_2 = V_y_2 ) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_inj__on__contraD,axiom,
% 202.58/202.67 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 202.58/202.67 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 202.58/202.67 => ( V_x_2 != V_y_2
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 202.58/202.67 => hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2) ) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_inj__Suc,axiom,
% 202.58/202.67 ! [V_N_2] : c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc,V_N_2) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_subset__inj__on,axiom,
% 202.58/202.67 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 202.58/202.67 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 202.58/202.67 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_inj__eq,axiom,
% 202.58/202.67 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 202.58/202.67 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 202.58/202.67 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 202.58/202.67 <=> V_x_2 = V_y_2 ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_injD,axiom,
% 202.58/202.67 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 202.58/202.67 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 202.58/202.67 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 202.58/202.67 => V_x_2 = V_y_2 ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_inj__on__Int,axiom,
% 202.58/202.67 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 202.58/202.67 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 202.58/202.67 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 202.58/202.67 => c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_inj__on__diff,axiom,
% 202.58/202.67 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 202.58/202.67 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 202.58/202.67 => c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_mult__cancel2,axiom,
% 202.58/202.67 ! [V_n_2,V_k_2,V_m_2] :
% 202.58/202.67 ( 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)
% 202.58/202.67 <=> ( V_m_2 = V_n_2
% 202.58/202.67 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_mult__cancel1,axiom,
% 202.58/202.67 ! [V_n_2,V_m_2,V_k_2] :
% 202.58/202.67 ( 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)
% 202.58/202.67 <=> ( V_m_2 = V_n_2
% 202.58/202.67 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_mult__is__0,axiom,
% 202.58/202.67 ! [V_n_2,V_m_2] :
% 202.58/202.67 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.58/202.67 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.58/202.67 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_mult__0__right,axiom,
% 202.58/202.67 ! [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) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_mult__0,axiom,
% 202.58/202.67 ! [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) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_Suc__mult__cancel1,axiom,
% 202.58/202.67 ! [V_n_2,V_m_2,V_k_2] :
% 202.58/202.67 ( 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)
% 202.58/202.67 <=> V_m_2 = V_n_2 ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_le__square,axiom,
% 202.58/202.67 ! [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))) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_le__cube,axiom,
% 202.58/202.67 ! [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)))) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_mult__le__mono1,axiom,
% 202.58/202.67 ! [V_k,V_j,V_i] :
% 202.58/202.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 202.58/202.67 => 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))) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_mult__le__mono2,axiom,
% 202.58/202.67 ! [V_k,V_j,V_i] :
% 202.58/202.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 202.58/202.67 => 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))) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_mult__le__mono,axiom,
% 202.58/202.67 ! [V_l,V_k,V_j,V_i] :
% 202.58/202.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l))
% 202.58/202.67 => 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))) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_split__mult__neg__le,axiom,
% 202.58/202.67 ! [V_b,V_a,T_a] :
% 202.58/202.67 ( class_Rings_Oordered__cancel__semiring(T_a)
% 202.58/202.67 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 202.58/202.67 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) )
% 202.58/202.67 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 202.58/202.67 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) )
% 202.58/202.67 => 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))) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_split__mult__pos__le,axiom,
% 202.58/202.67 ! [V_b,V_a,T_a] :
% 202.58/202.67 ( class_Rings_Oordered__ring(T_a)
% 202.58/202.67 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 202.58/202.67 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) )
% 202.58/202.67 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 202.58/202.67 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) )
% 202.58/202.67 => 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))) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_mult__mono,axiom,
% 202.58/202.67 ! [V_d,V_c,V_b,V_a,T_a] :
% 202.58/202.67 ( class_Rings_Oordered__semiring(T_a)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 202.58/202.67 => 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))) ) ) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_mult__mono_H,axiom,
% 202.58/202.67 ! [V_d,V_c,V_b,V_a,T_a] :
% 202.58/202.67 ( class_Rings_Oordered__semiring(T_a)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 202.58/202.67 => 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))) ) ) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_mult__left__mono__neg,axiom,
% 202.58/202.67 ! [V_c,V_a,V_b,T_a] :
% 202.58/202.67 ( class_Rings_Oordered__ring(T_a)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 202.58/202.67 => 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))) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_mult__right__mono__neg,axiom,
% 202.58/202.67 ! [V_c,V_a,V_b,T_a] :
% 202.58/202.67 ( class_Rings_Oordered__ring(T_a)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 202.58/202.67 => 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))) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_comm__mult__left__mono,axiom,
% 202.58/202.67 ! [V_c,V_b,V_a,T_a] :
% 202.58/202.67 ( class_Rings_Oordered__comm__semiring(T_a)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 202.58/202.67 => 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))) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_mult__left__mono,axiom,
% 202.58/202.67 ! [V_c,V_b,V_a,T_a] :
% 202.58/202.67 ( class_Rings_Oordered__semiring(T_a)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 202.58/202.67 => 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))) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_mult__right__mono,axiom,
% 202.58/202.67 ! [V_c,V_b,V_a,T_a] :
% 202.58/202.67 ( class_Rings_Oordered__semiring(T_a)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 202.58/202.67 => 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))) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_mult__nonpos__nonpos,axiom,
% 202.58/202.67 ! [V_b,V_a,T_a] :
% 202.58/202.67 ( class_Rings_Oordered__ring(T_a)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 202.58/202.67 => 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))) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_mult__nonpos__nonneg,axiom,
% 202.58/202.67 ! [V_b,V_a,T_a] :
% 202.58/202.67 ( class_Rings_Oordered__cancel__semiring(T_a)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 202.58/202.67 => 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))) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_mult__nonneg__nonpos2,axiom,
% 202.58/202.67 ! [V_b,V_a,T_a] :
% 202.58/202.67 ( class_Rings_Oordered__cancel__semiring(T_a)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 202.58/202.67 => 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))) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_mult__nonneg__nonpos,axiom,
% 202.58/202.67 ! [V_b,V_a,T_a] :
% 202.58/202.67 ( class_Rings_Oordered__cancel__semiring(T_a)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 202.58/202.67 => 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))) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_mult__nonneg__nonneg,axiom,
% 202.58/202.67 ! [V_b,V_a,T_a] :
% 202.58/202.67 ( class_Rings_Oordered__cancel__semiring(T_a)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 202.58/202.67 => 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))) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_mult__le__0__iff,axiom,
% 202.58/202.67 ! [V_b_2,V_a_2,T_b] :
% 202.58/202.67 ( class_Rings_Olinordered__ring__strict(T_b)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 202.58/202.67 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 202.58/202.67 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) )
% 202.58/202.67 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 202.58/202.67 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_zero__le__mult__iff,axiom,
% 202.58/202.67 ! [V_b_2,V_a_2,T_b] :
% 202.58/202.67 ( class_Rings_Olinordered__ring__strict(T_b)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_b_2)))
% 202.58/202.67 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 202.58/202.67 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) )
% 202.58/202.67 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 202.58/202.67 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_zero__le__square,axiom,
% 202.58/202.67 ! [V_a,T_a] :
% 202.58/202.67 ( class_Rings_Olinordered__ring(T_a)
% 202.58/202.67 => 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))) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_not__square__less__zero,axiom,
% 202.58/202.67 ! [V_a,T_a] :
% 202.58/202.67 ( class_Rings_Olinordered__ring(T_a)
% 202.58/202.67 => ~ 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))) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_mult__less__cancel__right__disj,axiom,
% 202.58/202.67 ! [V_b_2,V_c_2,V_a_2,T_b] :
% 202.58/202.67 ( class_Rings_Olinordered__ring__strict(T_b)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_c_2)))
% 202.58/202.67 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 202.58/202.67 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) )
% 202.58/202.67 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 202.58/202.67 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_mult__less__cancel__left__disj,axiom,
% 202.58/202.67 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 202.58/202.67 ( class_Rings_Olinordered__ring__strict(T_b)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_b_2)))
% 202.58/202.67 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 202.58/202.67 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) )
% 202.58/202.67 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 202.58/202.67 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_mult__less__cancel__left__pos,axiom,
% 202.58/202.67 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 202.58/202.67 ( class_Rings_Olinordered__ring__strict(T_b)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_b_2)))
% 202.58/202.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_mult__pos__pos,axiom,
% 202.58/202.67 ! [V_b,V_a,T_a] :
% 202.58/202.67 ( class_Rings_Olinordered__semiring__strict(T_a)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 202.58/202.67 => 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))) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_mult__pos__neg,axiom,
% 202.58/202.67 ! [V_b,V_a,T_a] :
% 202.58/202.67 ( class_Rings_Olinordered__semiring__strict(T_a)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 202.58/202.67 => 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))) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_mult__pos__neg2,axiom,
% 202.58/202.67 ! [V_b,V_a,T_a] :
% 202.58/202.67 ( class_Rings_Olinordered__semiring__strict(T_a)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 202.58/202.67 => 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))) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_zero__less__mult__pos,axiom,
% 202.58/202.67 ! [V_b,V_a,T_a] :
% 202.58/202.67 ( class_Rings_Olinordered__semiring__strict(T_a)
% 202.58/202.67 => ( 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)))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 202.58/202.67 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_zero__less__mult__pos2,axiom,
% 202.58/202.67 ! [V_a,V_b,T_a] :
% 202.58/202.67 ( class_Rings_Olinordered__semiring__strict(T_a)
% 202.58/202.67 => ( 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)))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 202.58/202.67 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_mult__less__cancel__left__neg,axiom,
% 202.58/202.67 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 202.58/202.67 ( class_Rings_Olinordered__ring__strict(T_b)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_b_2)))
% 202.58/202.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_mult__neg__pos,axiom,
% 202.58/202.67 ! [V_b,V_a,T_a] :
% 202.58/202.67 ( class_Rings_Olinordered__semiring__strict(T_a)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 202.58/202.67 => 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))) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_mult__neg__neg,axiom,
% 202.58/202.67 ! [V_b,V_a,T_a] :
% 202.58/202.67 ( class_Rings_Olinordered__ring__strict(T_a)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 202.58/202.67 => 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))) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_mult__strict__right__mono,axiom,
% 202.58/202.67 ! [V_c,V_b,V_a,T_a] :
% 202.58/202.67 ( class_Rings_Olinordered__semiring__strict(T_a)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 202.58/202.67 => 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))) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_mult__strict__left__mono,axiom,
% 202.58/202.67 ! [V_c,V_b,V_a,T_a] :
% 202.58/202.67 ( class_Rings_Olinordered__semiring__strict(T_a)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 202.58/202.67 => 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))) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_comm__mult__strict__left__mono,axiom,
% 202.58/202.67 ! [V_c,V_b,V_a,T_a] :
% 202.58/202.67 ( class_Rings_Olinordered__comm__semiring__strict(T_a)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 202.58/202.67 => 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))) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_mult__strict__right__mono__neg,axiom,
% 202.58/202.67 ! [V_c,V_a,V_b,T_a] :
% 202.58/202.67 ( class_Rings_Olinordered__ring__strict(T_a)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 202.58/202.67 => 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))) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_mult__strict__left__mono__neg,axiom,
% 202.58/202.67 ! [V_c,V_a,V_b,T_a] :
% 202.58/202.67 ( class_Rings_Olinordered__ring__strict(T_a)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 202.58/202.67 => 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))) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_strict__mono__imp__inj__on,axiom,
% 202.58/202.67 ! [V_A_2,V_f_2,T_b,T_c] :
% 202.58/202.67 ( ( class_Orderings_Oorder(T_c)
% 202.58/202.67 & class_Orderings_Olinorder(T_b) )
% 202.58/202.67 => ( c_Orderings_Oorder__class_Ostrict__mono(T_b,T_c,V_f_2)
% 202.58/202.67 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_inj__image__eq__iff,axiom,
% 202.58/202.67 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 202.58/202.67 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 202.58/202.67 => ( hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)
% 202.58/202.67 <=> V_A_2 = V_B_2 ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_inj__on__Un__image__eq__iff,axiom,
% 202.58/202.67 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 202.58/202.67 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 202.58/202.67 => ( hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)
% 202.58/202.67 <=> V_A_2 = V_B_2 ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_mult__left__le__imp__le,axiom,
% 202.58/202.67 ! [V_b,V_a,V_c,T_a] :
% 202.58/202.67 ( class_Rings_Olinordered__semiring__strict(T_a)
% 202.58/202.67 => ( 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)))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 202.58/202.67 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_mult__right__le__imp__le,axiom,
% 202.58/202.67 ! [V_b,V_c,V_a,T_a] :
% 202.58/202.67 ( class_Rings_Olinordered__semiring__strict(T_a)
% 202.58/202.67 => ( 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)))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 202.58/202.67 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_mult__less__imp__less__left,axiom,
% 202.58/202.67 ! [V_b,V_a,V_c,T_a] :
% 202.58/202.67 ( class_Rings_Olinordered__semiring__strict(T_a)
% 202.58/202.67 => ( 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)))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 202.58/202.67 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_mult__left__less__imp__less,axiom,
% 202.58/202.67 ! [V_b,V_a,V_c,T_a] :
% 202.58/202.67 ( class_Rings_Olinordered__semiring(T_a)
% 202.58/202.67 => ( 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)))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 202.58/202.67 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_mult__less__imp__less__right,axiom,
% 202.58/202.67 ! [V_b,V_c,V_a,T_a] :
% 202.58/202.67 ( class_Rings_Olinordered__semiring__strict(T_a)
% 202.58/202.67 => ( 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)))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 202.58/202.67 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_mult__right__less__imp__less,axiom,
% 202.58/202.67 ! [V_b,V_c,V_a,T_a] :
% 202.58/202.67 ( class_Rings_Olinordered__semiring(T_a)
% 202.58/202.67 => ( 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)))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 202.58/202.67 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_mult__le__less__imp__less,axiom,
% 202.58/202.67 ! [V_d,V_c,V_b,V_a,T_a] :
% 202.58/202.67 ( class_Rings_Olinordered__semiring__strict(T_a)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 202.58/202.67 => 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))) ) ) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_mult__less__le__imp__less,axiom,
% 202.58/202.67 ! [V_d,V_c,V_b,V_a,T_a] :
% 202.58/202.67 ( class_Rings_Olinordered__semiring__strict(T_a)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 202.58/202.67 => 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))) ) ) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_mult__strict__mono_H,axiom,
% 202.58/202.67 ! [V_d,V_c,V_b,V_a,T_a] :
% 202.58/202.67 ( class_Rings_Olinordered__semiring__strict(T_a)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 202.58/202.67 => 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))) ) ) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_mult__strict__mono,axiom,
% 202.58/202.67 ! [V_d,V_c,V_b,V_a,T_a] :
% 202.58/202.67 ( class_Rings_Olinordered__semiring__strict(T_a)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 202.58/202.67 => 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))) ) ) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_mult__le__cancel__left__neg,axiom,
% 202.58/202.67 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 202.58/202.67 ( class_Rings_Olinordered__ring__strict(T_b)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_b_2)))
% 202.58/202.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2)) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_mult__le__cancel__left__pos,axiom,
% 202.58/202.67 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 202.58/202.67 ( class_Rings_Olinordered__ring__strict(T_b)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_b_2)))
% 202.58/202.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_inj__on__strict__subset,axiom,
% 202.58/202.67 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 202.58/202.67 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 202.58/202.67 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2))) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_fold1Set__nonempty,axiom,
% 202.58/202.67 ! [V_x_2,V_A_2,V_f_2,T_b] :
% 202.58/202.67 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,V_A_2),V_x_2))
% 202.58/202.67 => V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_empty__fold1SetE,axiom,
% 202.58/202.67 ! [V_x_2,V_f_2,T_b] : ~ hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_x_2)) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_mult__eq__1__iff,axiom,
% 202.58/202.67 ! [V_n_2,V_m_2] :
% 202.58/202.67 ( 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))
% 202.58/202.67 <=> ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 202.58/202.67 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_mult__less__mono2,axiom,
% 202.58/202.67 ! [V_k,V_j,V_i] :
% 202.58/202.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 202.58/202.67 => 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))) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_mult__less__mono1,axiom,
% 202.58/202.67 ! [V_k,V_j,V_i] :
% 202.58/202.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 202.58/202.67 => 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))) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_mult__less__cancel2,axiom,
% 202.58/202.67 ! [V_n_2,V_k_2,V_m_2] :
% 202.58/202.67 ( 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)))
% 202.58/202.67 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 202.58/202.67 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_mult__less__cancel1,axiom,
% 202.58/202.67 ! [V_n_2,V_m_2,V_k_2] :
% 202.58/202.67 ( 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)))
% 202.58/202.67 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 202.58/202.67 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_nat__0__less__mult__iff,axiom,
% 202.58/202.67 ! [V_n_2,V_m_2] :
% 202.58/202.67 ( 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)))
% 202.58/202.67 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2))
% 202.58/202.67 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_Suc__mult__less__cancel1,axiom,
% 202.58/202.67 ! [V_n_2,V_m_2,V_k_2] :
% 202.58/202.67 ( 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)))
% 202.58/202.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_Suc__mult__le__cancel1,axiom,
% 202.58/202.67 ! [V_n_2,V_m_2,V_k_2] :
% 202.58/202.67 ( 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)))
% 202.58/202.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_range__ex1__eq,axiom,
% 202.58/202.67 ! [V_b_2,V_f_2,T_c,T_b] :
% 202.58/202.67 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))))
% 202.58/202.67 <=> ? [B_x] :
% 202.58/202.67 ( V_b_2 = hAPP(V_f_2,B_x)
% 202.58/202.67 & ! [B_y] :
% 202.58/202.67 ( V_b_2 = hAPP(V_f_2,B_y)
% 202.58/202.67 => B_y = B_x ) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_inj__image__mem__iff,axiom,
% 202.58/202.67 ! [V_A_2,V_a_2,V_f_2,T_c,T_b] :
% 202.58/202.67 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 202.58/202.67 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_inj__image__subset__iff,axiom,
% 202.58/202.67 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 202.58/202.67 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)))
% 202.58/202.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_inj__on__image__Int,axiom,
% 202.58/202.67 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_c,T_b] :
% 202.58/202.67 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 202.58/202.67 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_image__Int,axiom,
% 202.58/202.67 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 202.58/202.67 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 202.58/202.67 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_inj__on__image__set__diff,axiom,
% 202.58/202.67 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_c,T_b] :
% 202.58/202.67 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 202.58/202.67 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_image__set__diff,axiom,
% 202.58/202.67 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 202.58/202.67 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 202.58/202.67 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_inj__on__fun__updI,axiom,
% 202.58/202.67 ! [V_x_2,V_y_2,V_A_2,V_f_2,T_c,T_b] :
% 202.58/202.67 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 202.58/202.67 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 202.58/202.67 => c_Fun_Oinj__on(T_b,T_c,c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_A_2) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_n__less__m__mult__n,axiom,
% 202.58/202.67 ! [V_m,V_n] :
% 202.58/202.67 ( 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))
% 202.58/202.67 => ( 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))
% 202.58/202.67 => 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))) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_n__less__n__mult__m,axiom,
% 202.58/202.67 ! [V_m,V_n] :
% 202.58/202.67 ( 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))
% 202.58/202.67 => ( 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))
% 202.58/202.67 => 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))) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_one__less__mult,axiom,
% 202.58/202.67 ! [V_m,V_n] :
% 202.58/202.67 ( 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))
% 202.58/202.67 => ( 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))
% 202.58/202.67 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n))) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_one__le__mult__iff,axiom,
% 202.58/202.67 ! [V_n_2,V_m_2] :
% 202.58/202.67 ( 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)))
% 202.58/202.67 <=> ( 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))
% 202.58/202.67 & 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)) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_mult__le__cancel2,axiom,
% 202.58/202.67 ! [V_n_2,V_k_2,V_m_2] :
% 202.58/202.67 ( 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)))
% 202.58/202.67 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 202.58/202.67 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_mult__le__cancel1,axiom,
% 202.58/202.67 ! [V_n_2,V_m_2,V_k_2] :
% 202.58/202.67 ( 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)))
% 202.58/202.67 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 202.58/202.67 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_fold__graph__insert__swap,axiom,
% 202.58/202.67 ! [V_z_2,V_y_2,V_A_2,V_b_2,T_b] :
% 202.58/202.67 ( class_Groups_Oab__semigroup__mult(T_b)
% 202.58/202.67 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b),V_b_2,V_A_2),V_y_2))
% 202.58/202.67 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 202.58/202.67 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b),V_z_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_A_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_z_2),V_y_2))) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_linorder__neqE__linordered__idom,axiom,
% 202.58/202.67 ! [V_y,V_x,T_a] :
% 202.58/202.67 ( class_Rings_Olinordered__idom(T_a)
% 202.58/202.67 => ( V_x != V_y
% 202.58/202.67 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 202.58/202.67 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_inj__image__Compl__subset,axiom,
% 202.58/202.67 ! [V_A_2,V_f_2,T_c,T_b] :
% 202.58/202.67 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 202.58/202.67 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_fold1Set__sing,axiom,
% 202.58/202.67 ! [V_b_2,V_a_2,V_f_2,T_b] :
% 202.58/202.67 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_b_2))
% 202.58/202.67 <=> V_a_2 = V_b_2 ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_inj__on__insert,axiom,
% 202.58/202.67 ! [V_A_2,V_a_2,V_f_2,T_c,T_b] :
% 202.58/202.67 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2))
% 202.58/202.67 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 202.58/202.67 & ~ hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_inj__on__iff__surj,axiom,
% 202.58/202.67 ! [V_A_H_2,T_c,T_b,V_A_2] :
% 202.58/202.67 ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.67 => ( ? [B_f] :
% 202.58/202.67 ( c_Fun_Oinj__on(T_b,T_c,B_f,V_A_2)
% 202.58/202.67 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,B_f),V_A_2)),V_A_H_2)) )
% 202.58/202.67 <=> ? [B_g] : hAPP(c_Set_Oimage(T_c,T_b,B_g),V_A_H_2) = V_A_2 ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_nat__mult__le__cancel1,axiom,
% 202.58/202.67 ! [V_n_2,V_m_2,V_k_2] :
% 202.58/202.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 202.58/202.67 => ( 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)))
% 202.58/202.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_nat__mult__eq__cancel1,axiom,
% 202.58/202.67 ! [V_n_2,V_m_2,V_k_2] :
% 202.58/202.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 202.58/202.67 => ( 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)
% 202.58/202.67 <=> V_m_2 = V_n_2 ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_nat__mult__less__cancel1,axiom,
% 202.58/202.67 ! [V_n_2,V_m_2,V_k_2] :
% 202.58/202.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 202.58/202.67 => ( 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)))
% 202.58/202.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom,
% 202.58/202.67 ! [V_a,T_a] :
% 202.58/202.67 ( class_Rings_Ocomm__semiring__1(T_a)
% 202.58/202.67 => 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) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,axiom,
% 202.58/202.67 ! [V_a,T_a] :
% 202.58/202.67 ( class_Rings_Ocomm__semiring__1(T_a)
% 202.58/202.67 => 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) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_the__inv__into__into,axiom,
% 202.58/202.67 ! [V_B_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 202.58/202.67 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 202.58/202.67 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_x_2)),V_B_2)) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_inj__on__Inter,axiom,
% 202.58/202.67 ! [V_f_2,T_c,T_b,V_S_2] :
% 202.58/202.67 ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))
% 202.58/202.67 => ( ! [B_A] :
% 202.58/202.67 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_A),V_S_2))
% 202.58/202.67 => c_Fun_Oinj__on(T_b,T_c,V_f_2,B_A) )
% 202.58/202.67 => c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_S_2)) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_nat__mult__assoc,axiom,
% 202.58/202.67 ! [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)) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_nat__mult__commute,axiom,
% 202.58/202.67 ! [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) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,axiom,
% 202.58/202.67 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 202.58/202.67 ( class_Rings_Ocomm__semiring__1(T_a)
% 202.58/202.67 => 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)) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,axiom,
% 202.58/202.67 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 202.58/202.67 ( class_Rings_Ocomm__semiring__1(T_a)
% 202.58/202.67 => 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)) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,axiom,
% 202.58/202.67 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 202.58/202.67 ( class_Rings_Ocomm__semiring__1(T_a)
% 202.58/202.67 => 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))) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,axiom,
% 202.58/202.67 ! [V_rx,V_ly,V_lx,T_a] :
% 202.58/202.67 ( class_Rings_Ocomm__semiring__1(T_a)
% 202.58/202.67 => 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) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,axiom,
% 202.58/202.67 ! [V_rx,V_ly,V_lx,T_a] :
% 202.58/202.67 ( class_Rings_Ocomm__semiring__1(T_a)
% 202.58/202.67 => 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)) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,axiom,
% 202.58/202.67 ! [V_ry,V_rx,V_lx,T_a] :
% 202.58/202.67 ( class_Rings_Ocomm__semiring__1(T_a)
% 202.58/202.67 => 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) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom,
% 202.58/202.67 ! [V_ry,V_rx,V_lx,T_a] :
% 202.58/202.67 ( class_Rings_Ocomm__semiring__1(T_a)
% 202.58/202.67 => 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)) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom,
% 202.58/202.67 ! [V_b,V_a,T_a] :
% 202.58/202.67 ( class_Rings_Ocomm__semiring__1(T_a)
% 202.58/202.67 => 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) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_nat__mult__eq__cancel__disj,axiom,
% 202.58/202.67 ! [V_n_2,V_m_2,V_k_2] :
% 202.58/202.67 ( 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)
% 202.58/202.67 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.58/202.67 | V_m_2 = V_n_2 ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_the__inv__into__f__f,axiom,
% 202.58/202.67 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 202.58/202.67 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.58/202.67 => hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),hAPP(V_f_2,V_x_2)) = V_x_2 ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_the__inv__into__f__eq,axiom,
% 202.58/202.67 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 202.58/202.67 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 202.58/202.67 => ( hAPP(V_f_2,V_x_2) = V_y_2
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.58/202.67 => hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_the__inv__f__f,axiom,
% 202.58/202.67 ! [V_x_2,V_f_2,T_c,T_b] :
% 202.58/202.67 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 202.58/202.67 => hAPP(c_Fun_Othe__inv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),hAPP(V_f_2,V_x_2)) = V_x_2 ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_the__inv__into__onto,axiom,
% 202.58/202.67 ! [V_A_2,V_f_2,T_c,T_b] :
% 202.58/202.67 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 202.58/202.67 => hAPP(c_Set_Oimage(T_c,T_b,c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = V_A_2 ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_inj__on__the__inv__into,axiom,
% 202.58/202.67 ! [V_A_2,V_f_2,T_c,T_b] :
% 202.58/202.67 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 202.58/202.67 => c_Fun_Oinj__on(T_c,T_b,c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_f__the__inv__into__f,axiom,
% 202.58/202.67 ! [V_y_2,V_A_2,V_f_2,T_c,T_b] :
% 202.58/202.67 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 202.58/202.67 => hAPP(V_f_2,hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_y_2)) = V_y_2 ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_insert__fold1SetE,axiom,
% 202.58/202.67 ! [V_x_2,V_X_2,V_a_2,V_f_2,T_b] :
% 202.58/202.67 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_X_2)),V_x_2))
% 202.58/202.67 => ~ ! [B_a,B_A] :
% 202.58/202.67 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_X_2) = hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_A)
% 202.58/202.67 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,B_a,B_A),V_x_2))
% 202.58/202.67 => hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_fold1Set_Oequations,axiom,
% 202.58/202.67 ! [V_a3_2,V_a2_2,V_a1_2,V_f_2,T_b] :
% 202.58/202.67 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a1_2),V_a2_2)),V_a3_2))
% 202.58/202.67 <=> ? [B_a,B_A] :
% 202.58/202.67 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a1_2),V_a2_2) = hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_A)
% 202.58/202.67 & hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,B_a,B_A),V_a3_2))
% 202.58/202.67 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_all__interval__nat__def,axiom,
% 202.58/202.67 ! [V_j_2,V_i_2,V_P_2] :
% 202.58/202.67 ( c_List_Oall__interval__nat(V_P_2,V_i_2,V_j_2)
% 202.58/202.67 <=> ! [B_x] :
% 202.58/202.67 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_i_2),V_j_2)))
% 202.58/202.67 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_Suc__pred_H,axiom,
% 202.58/202.67 ! [V_n] :
% 202.58/202.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 202.58/202.67 => 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))) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_Suc__diff__1,axiom,
% 202.58/202.67 ! [V_n] :
% 202.58/202.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 202.58/202.67 => 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 ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_nat__less__add__iff2,axiom,
% 202.58/202.67 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 202.58/202.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 202.58/202.67 => ( 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)))
% 202.58/202.67 <=> 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))) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_nat__less__add__iff1,axiom,
% 202.58/202.67 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 202.58/202.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 202.58/202.67 => ( 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)))
% 202.58/202.67 <=> 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)) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_of__nat__0__less__iff,axiom,
% 202.58/202.67 ! [V_n_2,T_b] :
% 202.58/202.67 ( class_Rings_Olinordered__semidom(T_b)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)))
% 202.58/202.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,axiom,
% 202.58/202.67 ! [V_m,T_a] :
% 202.58/202.67 ( class_Rings_Ocomm__semiring__1(T_a)
% 202.58/202.67 => 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) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,axiom,
% 202.58/202.67 ! [V_a,V_m,T_a] :
% 202.58/202.67 ( class_Rings_Ocomm__semiring__1(T_a)
% 202.58/202.67 => 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) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J,axiom,
% 202.58/202.67 ! [V_m,V_a,T_a] :
% 202.58/202.67 ( class_Rings_Ocomm__semiring__1(T_a)
% 202.58/202.67 => 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) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,axiom,
% 202.58/202.67 ! [V_d,V_c,V_b,V_a,T_a] :
% 202.58/202.67 ( class_Rings_Ocomm__semiring__1(T_a)
% 202.58/202.67 => 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)) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,axiom,
% 202.58/202.67 ! [V_c,V_b,V_a,T_a] :
% 202.58/202.67 ( class_Rings_Ocomm__semiring__1(T_a)
% 202.58/202.67 => 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) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,axiom,
% 202.58/202.67 ! [V_c,V_b,V_a,T_a] :
% 202.58/202.67 ( class_Rings_Ocomm__semiring__1(T_a)
% 202.58/202.67 => 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)) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom,
% 202.58/202.67 ! [V_d,V_c,V_a,T_a] :
% 202.58/202.67 ( class_Rings_Ocomm__semiring__1(T_a)
% 202.58/202.67 => 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) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,axiom,
% 202.58/202.67 ! [V_d,V_c,V_a,T_a] :
% 202.58/202.67 ( class_Rings_Ocomm__semiring__1(T_a)
% 202.58/202.67 => 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)) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom,
% 202.58/202.67 ! [V_c,V_a,T_a] :
% 202.58/202.67 ( class_Rings_Ocomm__semiring__1(T_a)
% 202.58/202.67 => 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) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_nat__add__right__cancel,axiom,
% 202.58/202.67 ! [V_n_2,V_k_2,V_m_2] :
% 202.58/202.67 ( 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)
% 202.58/202.67 <=> V_m_2 = V_n_2 ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_nat__add__left__cancel,axiom,
% 202.58/202.67 ! [V_n_2,V_m_2,V_k_2] :
% 202.58/202.67 ( 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)
% 202.58/202.67 <=> V_m_2 = V_n_2 ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_nat__add__assoc,axiom,
% 202.58/202.67 ! [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)) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_of__nat__eq__iff,axiom,
% 202.58/202.67 ! [V_n_2,V_m_2,T_b] :
% 202.58/202.67 ( class_Nat_Osemiring__char__0(T_b)
% 202.58/202.67 => ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_m_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)
% 202.58/202.67 <=> V_m_2 = V_n_2 ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_nat__add__left__commute,axiom,
% 202.58/202.67 ! [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)) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_nat__add__commute,axiom,
% 202.58/202.67 ! [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) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_of__nat__add,axiom,
% 202.58/202.67 ! [V_n,V_m,T_a] :
% 202.58/202.67 ( class_Rings_Osemiring__1(T_a)
% 202.58/202.67 => 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)) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_of__nat__1,axiom,
% 202.58/202.67 ! [T_a] :
% 202.58/202.67 ( class_Rings_Osemiring__1(T_a)
% 202.58/202.67 => 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) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_of__nat__Suc,axiom,
% 202.58/202.67 ! [V_m,T_a] :
% 202.58/202.67 ( class_Rings_Osemiring__1(T_a)
% 202.58/202.67 => 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)) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_add__right__imp__eq,axiom,
% 202.58/202.67 ! [V_c,V_a,V_b,T_a] :
% 202.58/202.67 ( class_Groups_Ocancel__semigroup__add(T_a)
% 202.58/202.67 => ( 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)
% 202.58/202.67 => V_b = V_c ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_add__imp__eq,axiom,
% 202.58/202.67 ! [V_c,V_b,V_a,T_a] :
% 202.58/202.67 ( class_Groups_Ocancel__ab__semigroup__add(T_a)
% 202.58/202.67 => ( 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)
% 202.58/202.67 => V_b = V_c ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_add__left__imp__eq,axiom,
% 202.58/202.67 ! [V_c,V_b,V_a,T_a] :
% 202.58/202.67 ( class_Groups_Ocancel__semigroup__add(T_a)
% 202.58/202.67 => ( 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)
% 202.58/202.67 => V_b = V_c ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_add__right__cancel,axiom,
% 202.58/202.67 ! [V_c_2,V_a_2,V_b_2,T_b] :
% 202.58/202.67 ( class_Groups_Ocancel__semigroup__add(T_b)
% 202.58/202.67 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_a_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_c_2),V_a_2)
% 202.58/202.67 <=> V_b_2 = V_c_2 ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_add__left__cancel,axiom,
% 202.58/202.67 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 202.58/202.67 ( class_Groups_Ocancel__semigroup__add(T_b)
% 202.58/202.67 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_c_2)
% 202.58/202.67 <=> V_b_2 = V_c_2 ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_ab__semigroup__add__class_Oadd__ac_I1_J,axiom,
% 202.58/202.67 ! [V_c,V_b,V_a,T_a] :
% 202.58/202.67 ( class_Groups_Oab__semigroup__add(T_a)
% 202.58/202.67 => 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)) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_one__reorient,axiom,
% 202.58/202.67 ! [V_x_2,T_b] :
% 202.58/202.67 ( class_Groups_Oone(T_b)
% 202.58/202.67 => ( c_Groups_Oone__class_Oone(T_b) = V_x_2
% 202.58/202.67 <=> V_x_2 = c_Groups_Oone__class_Oone(T_b) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_Suc__eq__plus1__left,axiom,
% 202.58/202.67 ! [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) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_Suc__eq__plus1,axiom,
% 202.58/202.67 ! [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)) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_less__add__one,axiom,
% 202.58/202.67 ! [V_a,T_a] :
% 202.58/202.67 ( class_Rings_Olinordered__semidom(T_a)
% 202.58/202.67 => 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)))) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_zero__less__two,axiom,
% 202.58/202.67 ! [T_a] :
% 202.58/202.67 ( class_Rings_Olinordered__semidom(T_a)
% 202.58/202.67 => 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)))) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_add__le__imp__le__left,axiom,
% 202.58/202.67 ! [V_b,V_a,V_c,T_a] :
% 202.58/202.67 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 202.58/202.67 => ( 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)))
% 202.58/202.67 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_add__le__imp__le__right,axiom,
% 202.58/202.67 ! [V_b,V_c,V_a,T_a] :
% 202.58/202.67 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 202.58/202.67 => ( 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)))
% 202.58/202.67 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_add__mono,axiom,
% 202.58/202.67 ! [V_d,V_c,V_b,V_a,T_a] :
% 202.58/202.67 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 202.58/202.67 => 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))) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_add__left__mono,axiom,
% 202.58/202.67 ! [V_c,V_b,V_a,T_a] :
% 202.58/202.67 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 202.58/202.67 => 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))) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_add__right__mono,axiom,
% 202.58/202.67 ! [V_c,V_b,V_a,T_a] :
% 202.58/202.67 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 202.58/202.67 => 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))) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_add__le__cancel__left,axiom,
% 202.58/202.67 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 202.58/202.67 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_c_2),V_b_2)))
% 202.58/202.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_add__le__cancel__right,axiom,
% 202.58/202.67 ! [V_b_2,V_c_2,V_a_2,T_b] :
% 202.58/202.67 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_c_2)))
% 202.58/202.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_add_Ocomm__neutral,axiom,
% 202.58/202.67 ! [V_a,T_a] :
% 202.58/202.67 ( class_Groups_Ocomm__monoid__add(T_a)
% 202.58/202.67 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_add__0__right,axiom,
% 202.58/202.67 ! [V_a,T_a] :
% 202.58/202.67 ( class_Groups_Omonoid__add(T_a)
% 202.58/202.67 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_double__zero__sym,axiom,
% 202.58/202.67 ! [V_a_2,T_b] :
% 202.58/202.67 ( class_Groups_Olinordered__ab__group__add(T_b)
% 202.58/202.67 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)
% 202.58/202.67 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_add__0,axiom,
% 202.58/202.67 ! [V_a,T_a] :
% 202.58/202.67 ( class_Groups_Ocomm__monoid__add(T_a)
% 202.58/202.67 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_add__0__left,axiom,
% 202.58/202.67 ! [V_a,T_a] :
% 202.58/202.67 ( class_Groups_Omonoid__add(T_a)
% 202.58/202.67 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom,
% 202.58/202.67 ! [V_a,T_a] :
% 202.58/202.67 ( class_Rings_Ocomm__semiring__1(T_a)
% 202.58/202.67 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom,
% 202.58/202.67 ! [V_a,T_a] :
% 202.58/202.67 ( class_Rings_Ocomm__semiring__1(T_a)
% 202.58/202.67 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_add__0__iff,axiom,
% 202.58/202.67 ! [V_a_2,V_b_2,T_b] :
% 202.58/202.67 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b)
% 202.58/202.67 => ( V_b_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_a_2)
% 202.58/202.67 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_add__less__imp__less__left,axiom,
% 202.58/202.67 ! [V_b,V_a,V_c,T_a] :
% 202.58/202.67 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 202.58/202.67 => ( 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)))
% 202.58/202.67 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_add__less__imp__less__right,axiom,
% 202.58/202.67 ! [V_b,V_c,V_a,T_a] :
% 202.58/202.67 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 202.58/202.67 => ( 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)))
% 202.58/202.67 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_add__strict__mono,axiom,
% 202.58/202.67 ! [V_d,V_c,V_b,V_a,T_a] :
% 202.58/202.67 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 202.58/202.67 => 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))) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_add__strict__left__mono,axiom,
% 202.58/202.67 ! [V_c,V_b,V_a,T_a] :
% 202.58/202.67 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 202.58/202.67 => 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))) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_add__strict__right__mono,axiom,
% 202.58/202.67 ! [V_c,V_b,V_a,T_a] :
% 202.58/202.67 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 202.58/202.67 => 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))) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_add__less__cancel__left,axiom,
% 202.58/202.67 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 202.58/202.67 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_c_2),V_b_2)))
% 202.58/202.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_add__less__cancel__right,axiom,
% 202.58/202.67 ! [V_b_2,V_c_2,V_a_2,T_b] :
% 202.58/202.67 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_c_2)))
% 202.58/202.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_comm__semiring__class_Odistrib,axiom,
% 202.58/202.67 ! [V_c,V_b,V_a,T_a] :
% 202.58/202.67 ( class_Rings_Ocomm__semiring(T_a)
% 202.58/202.67 => 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)) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_combine__common__factor,axiom,
% 202.58/202.67 ! [V_c,V_b,V_e,V_a,T_a] :
% 202.58/202.67 ( class_Rings_Osemiring(T_a)
% 202.58/202.67 => 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) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_crossproduct__eq,axiom,
% 202.58/202.67 ! [V_z_2,V_x_2,V_y_2,V_w_2,T_b] :
% 202.58/202.67 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b)
% 202.58/202.67 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_w_2),V_y_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_z_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_w_2),V_z_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_y_2))
% 202.58/202.67 <=> ( V_w_2 = V_x_2
% 202.58/202.67 | V_y_2 = V_z_2 ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,axiom,
% 202.58/202.67 ! [V_b,V_m,V_a,T_a] :
% 202.58/202.67 ( class_Rings_Ocomm__semiring__1(T_a)
% 202.58/202.67 => 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) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,axiom,
% 202.58/202.67 ! [V_c,V_b,V_a,T_a] :
% 202.58/202.67 ( class_Rings_Ocomm__semiring__1(T_a)
% 202.58/202.67 => 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)) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_crossproduct__noteq,axiom,
% 202.58/202.67 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 202.58/202.67 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b)
% 202.58/202.67 => ( ( V_a_2 != V_b_2
% 202.58/202.67 & V_c_2 != V_d_2 )
% 202.58/202.67 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_d_2)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_d_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_c_2)) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,axiom,
% 202.58/202.67 ! [V_z,V_y,V_x,T_a] :
% 202.58/202.67 ( class_Rings_Ocomm__semiring__1(T_a)
% 202.58/202.67 => 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)) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_add__diff__cancel,axiom,
% 202.58/202.67 ! [V_b,V_a,T_a] :
% 202.58/202.67 ( class_Groups_Ogroup__add(T_a)
% 202.58/202.67 => 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 ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_diff__add__cancel,axiom,
% 202.58/202.67 ! [V_b,V_a,T_a] :
% 202.58/202.67 ( class_Groups_Ogroup__add(T_a)
% 202.58/202.67 => 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 ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_zero__neq__one,axiom,
% 202.58/202.67 ! [T_a] :
% 202.58/202.67 ( class_Rings_Ozero__neq__one(T_a)
% 202.58/202.67 => c_Groups_Ozero__class_Ozero(T_a) != c_Groups_Oone__class_Oone(T_a) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_one__neq__zero,axiom,
% 202.58/202.67 ! [T_a] :
% 202.58/202.67 ( class_Rings_Ozero__neq__one(T_a)
% 202.58/202.67 => c_Groups_Oone__class_Oone(T_a) != c_Groups_Ozero__class_Ozero(T_a) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_mult_Ocomm__neutral,axiom,
% 202.58/202.67 ! [V_a,T_a] :
% 202.58/202.67 ( class_Groups_Ocomm__monoid__mult(T_a)
% 202.58/202.67 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_mult__1__right,axiom,
% 202.58/202.67 ! [V_a,T_a] :
% 202.58/202.67 ( class_Groups_Omonoid__mult(T_a)
% 202.58/202.67 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_mult__1,axiom,
% 202.58/202.67 ! [V_a,T_a] :
% 202.58/202.67 ( class_Groups_Ocomm__monoid__mult(T_a)
% 202.58/202.67 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_mult__1__left,axiom,
% 202.58/202.67 ! [V_a,T_a] :
% 202.58/202.67 ( class_Groups_Omonoid__mult(T_a)
% 202.58/202.67 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,axiom,
% 202.58/202.67 ! [V_a,T_a] :
% 202.58/202.67 ( class_Rings_Ocomm__semiring__1(T_a)
% 202.58/202.67 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,axiom,
% 202.58/202.67 ! [V_a,T_a] :
% 202.58/202.67 ( class_Rings_Ocomm__semiring__1(T_a)
% 202.58/202.67 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_minus__add__distrib,axiom,
% 202.58/202.67 ! [V_b,V_a,T_a] :
% 202.58/202.67 ( class_Groups_Oab__group__add(T_a)
% 202.58/202.67 => 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)) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_minus__add,axiom,
% 202.58/202.67 ! [V_b,V_a,T_a] :
% 202.58/202.67 ( class_Groups_Ogroup__add(T_a)
% 202.58/202.67 => 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)) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_add__minus__cancel,axiom,
% 202.58/202.67 ! [V_b,V_a,T_a] :
% 202.58/202.67 ( class_Groups_Ogroup__add(T_a)
% 202.58/202.67 => 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 ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_minus__add__cancel,axiom,
% 202.58/202.67 ! [V_b,V_a,T_a] :
% 202.58/202.67 ( class_Groups_Ogroup__add(T_a)
% 202.58/202.67 => 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 ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_add__eq__self__zero,axiom,
% 202.58/202.67 ! [V_n,V_m] :
% 202.58/202.67 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_m
% 202.58/202.67 => V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_add__is__0,axiom,
% 202.58/202.67 ! [V_n_2,V_m_2] :
% 202.58/202.67 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.58/202.67 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.58/202.67 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_Nat_Oadd__0__right,axiom,
% 202.58/202.67 ! [V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ).
% 202.58/202.67
% 202.58/202.67 fof(fact_plus__nat_Oadd__0,axiom,
% 202.58/202.67 ! [V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ).
% 202.58/202.67
% 202.58/202.67 fof(fact_add__Suc__right,axiom,
% 202.58/202.67 ! [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)) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_add__Suc,axiom,
% 202.58/202.67 ! [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)) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_add__Suc__shift,axiom,
% 202.58/202.67 ! [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)) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_not__add__less1,axiom,
% 202.58/202.67 ! [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)) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_not__add__less2,axiom,
% 202.58/202.67 ! [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)) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_nat__add__left__cancel__less,axiom,
% 202.58/202.67 ! [V_n_2,V_m_2,V_k_2] :
% 202.58/202.67 ( 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)))
% 202.58/202.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_trans__less__add1,axiom,
% 202.58/202.67 ! [V_m,V_j,V_i] :
% 202.58/202.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 202.58/202.67 => 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))) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_trans__less__add2,axiom,
% 202.58/202.67 ! [V_m,V_j,V_i] :
% 202.58/202.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 202.58/202.67 => 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))) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_add__less__mono1,axiom,
% 202.58/202.67 ! [V_k,V_j,V_i] :
% 202.58/202.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 202.58/202.67 => 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))) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_add__less__mono,axiom,
% 202.58/202.67 ! [V_l,V_k,V_j,V_i] :
% 202.58/202.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l))
% 202.58/202.67 => 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))) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_less__add__eq__less,axiom,
% 202.58/202.67 ! [V_n,V_m,V_l,V_k] :
% 202.58/202.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l))
% 202.58/202.67 => ( 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)
% 202.58/202.67 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_add__lessD1,axiom,
% 202.58/202.67 ! [V_k,V_j,V_i] :
% 202.58/202.67 ( 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))
% 202.58/202.67 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_k)) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_termination__basic__simps_I2_J,axiom,
% 202.58/202.67 ! [V_y,V_z,V_x] :
% 202.58/202.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_z))
% 202.58/202.67 => 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))) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_termination__basic__simps_I1_J,axiom,
% 202.58/202.67 ! [V_z,V_y,V_x] :
% 202.58/202.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 202.58/202.67 => 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))) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_le__add2,axiom,
% 202.58/202.67 ! [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))) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_le__add1,axiom,
% 202.58/202.67 ! [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))) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_le__iff__add,axiom,
% 202.58/202.67 ! [V_n_2,V_m_2] :
% 202.58/202.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 202.58/202.67 <=> ? [B_k] : V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_nat__add__left__cancel__le,axiom,
% 202.58/202.67 ! [V_n_2,V_m_2,V_k_2] :
% 202.58/202.67 ( 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)))
% 202.58/202.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_trans__le__add1,axiom,
% 202.58/202.67 ! [V_m,V_j,V_i] :
% 202.58/202.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 202.58/202.67 => 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))) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_trans__le__add2,axiom,
% 202.58/202.67 ! [V_m,V_j,V_i] :
% 202.58/202.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 202.58/202.67 => 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))) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_add__le__mono1,axiom,
% 202.58/202.67 ! [V_k,V_j,V_i] :
% 202.58/202.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 202.58/202.67 => 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))) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_add__le__mono,axiom,
% 202.58/202.67 ! [V_l,V_k,V_j,V_i] :
% 202.58/202.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l))
% 202.58/202.67 => 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))) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_add__leD2,axiom,
% 202.58/202.67 ! [V_n,V_k,V_m] :
% 202.58/202.67 ( 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))
% 202.58/202.67 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_add__leD1,axiom,
% 202.58/202.67 ! [V_n,V_k,V_m] :
% 202.58/202.67 ( 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))
% 202.58/202.67 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_add__leE,axiom,
% 202.58/202.67 ! [V_n,V_k,V_m] :
% 202.58/202.67 ( 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))
% 202.58/202.67 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 202.58/202.67 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_termination__basic__simps_I3_J,axiom,
% 202.58/202.67 ! [V_z,V_y,V_x] :
% 202.58/202.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y))
% 202.58/202.67 => 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))) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_termination__basic__simps_I4_J,axiom,
% 202.58/202.67 ! [V_y,V_z,V_x] :
% 202.58/202.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_z))
% 202.58/202.67 => 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))) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_diff__cancel2,axiom,
% 202.58/202.67 ! [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) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_diff__cancel,axiom,
% 202.58/202.67 ! [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) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_diff__diff__left,axiom,
% 202.58/202.67 ! [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)) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_diff__add__inverse,axiom,
% 202.58/202.67 ! [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 ).
% 202.58/202.67
% 202.58/202.67 fof(fact_diff__add__inverse2,axiom,
% 202.58/202.67 ! [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 ).
% 202.58/202.67
% 202.58/202.67 fof(fact_add__mult__distrib2,axiom,
% 202.58/202.67 ! [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)) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_add__mult__distrib,axiom,
% 202.58/202.67 ! [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)) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_left__add__mult__distrib,axiom,
% 202.58/202.67 ! [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) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_nat__mult__1,axiom,
% 202.58/202.67 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) = V_n ).
% 202.58/202.67
% 202.58/202.67 fof(fact_nat__1__eq__mult__iff,axiom,
% 202.58/202.67 ! [V_n_2,V_m_2] :
% 202.58/202.67 ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2)
% 202.58/202.67 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 202.58/202.67 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_nat__mult__1__right,axiom,
% 202.58/202.67 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_n ).
% 202.58/202.67
% 202.58/202.67 fof(fact_nat__mult__eq__1__iff,axiom,
% 202.58/202.67 ! [V_n_2,V_m_2] :
% 202.58/202.67 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 202.58/202.67 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 202.58/202.67 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_convex__bound__le,axiom,
% 202.58/202.67 ! [V_v,V_u,V_y,V_a,V_x,T_a] :
% 202.58/202.67 ( class_Rings_Olinordered__semiring__1(T_a)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_a))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v))
% 202.58/202.67 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a)
% 202.58/202.67 => 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)) ) ) ) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_add__eq__if,axiom,
% 202.58/202.67 ! [V_n,V_m] :
% 202.58/202.67 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.58/202.67 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_n )
% 202.58/202.67 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.58/202.67 => 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)) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_mult__eq__if,axiom,
% 202.58/202.67 ! [V_n,V_m] :
% 202.58/202.67 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.58/202.67 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 202.58/202.67 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.58/202.67 => 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)) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_convex__bound__lt,axiom,
% 202.58/202.67 ! [V_v,V_u,V_y,V_a,V_x,T_a] :
% 202.58/202.67 ( class_Rings_Olinordered__semiring__1__strict(T_a)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_a))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v))
% 202.58/202.67 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a)
% 202.58/202.67 => 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)) ) ) ) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_zero__le__double__add__iff__zero__le__single__add,axiom,
% 202.58/202.67 ! [V_a_2,T_b] :
% 202.58/202.67 ( class_Groups_Olinordered__ab__group__add(T_b)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)))
% 202.58/202.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_double__add__le__zero__iff__single__add__le__zero,axiom,
% 202.58/202.67 ! [V_a_2,T_b] :
% 202.58/202.67 ( class_Groups_Olinordered__ab__group__add(T_b)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 202.58/202.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_add__nonneg__nonneg,axiom,
% 202.58/202.67 ! [V_b,V_a,T_a] :
% 202.58/202.67 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 202.58/202.67 => 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))) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_add__nonneg__eq__0__iff,axiom,
% 202.58/202.67 ! [V_y_2,V_x_2,T_b] :
% 202.58/202.67 ( class_Groups_Oordered__comm__monoid__add(T_b)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_x_2))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_y_2))
% 202.58/202.67 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),V_y_2) = c_Groups_Ozero__class_Ozero(T_b)
% 202.58/202.67 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 202.58/202.67 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_add__increasing,axiom,
% 202.58/202.67 ! [V_c,V_b,V_a,T_a] :
% 202.58/202.67 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 202.58/202.67 => 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))) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_add__increasing2,axiom,
% 202.58/202.67 ! [V_a,V_b,V_c,T_a] :
% 202.58/202.67 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 202.58/202.67 => 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))) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_add__nonpos__nonpos,axiom,
% 202.58/202.67 ! [V_b,V_a,T_a] :
% 202.58/202.67 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 202.58/202.67 => 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))) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_add__less__le__mono,axiom,
% 202.58/202.67 ! [V_d,V_c,V_b,V_a,T_a] :
% 202.58/202.67 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 202.58/202.67 => 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))) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_add__le__less__mono,axiom,
% 202.58/202.67 ! [V_d,V_c,V_b,V_a,T_a] :
% 202.58/202.67 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 202.58/202.67 => 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))) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_pos__add__strict,axiom,
% 202.58/202.67 ! [V_c,V_b,V_a,T_a] :
% 202.58/202.67 ( class_Rings_Olinordered__semidom(T_a)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 202.58/202.67 => 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))) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_add__neg__neg,axiom,
% 202.58/202.67 ! [V_b,V_a,T_a] :
% 202.58/202.67 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 202.58/202.67 => 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))) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_add__pos__pos,axiom,
% 202.58/202.67 ! [V_b,V_a,T_a] :
% 202.58/202.67 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 202.58/202.67 => 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))) ) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_double__add__less__zero__iff__single__add__less__zero,axiom,
% 202.58/202.67 ! [V_a_2,T_b] :
% 202.58/202.67 ( class_Groups_Olinordered__ab__group__add(T_b)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 202.58/202.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 202.58/202.67
% 202.58/202.67 fof(fact_zero__less__double__add__iff__zero__less__single__add,axiom,
% 202.58/202.67 ! [V_a_2,T_b] :
% 202.58/202.67 ( class_Groups_Olinordered__ab__group__add(T_b)
% 202.58/202.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)))
% 202.58/202.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_sum__squares__eq__zero__iff,axiom,
% 202.58/202.68 ! [V_y_2,V_x_2,T_b] :
% 202.58/202.68 ( class_Rings_Olinordered__ring__strict(T_b)
% 202.58/202.68 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_x_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_y_2),V_y_2)) = c_Groups_Ozero__class_Ozero(T_b)
% 202.58/202.68 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 202.58/202.68 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_add__scale__eq__noteq,axiom,
% 202.58/202.68 ! [V_d,V_c,V_b,V_a,V_r,T_a] :
% 202.58/202.68 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)
% 202.58/202.68 => ( V_r != c_Groups_Ozero__class_Ozero(T_a)
% 202.58/202.68 => ( ( V_a = V_b
% 202.58/202.68 & V_c != V_d )
% 202.58/202.68 => 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)) ) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_eq__add__iff2,axiom,
% 202.58/202.68 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 202.58/202.68 ( class_Rings_Oring(T_b)
% 202.58/202.68 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_c_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2)
% 202.58/202.68 <=> V_c_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_b_2),V_a_2)),V_e_2)),V_d_2) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_eq__add__iff1,axiom,
% 202.58/202.68 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 202.58/202.68 ( class_Rings_Oring(T_b)
% 202.58/202.68 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_c_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2)
% 202.58/202.68 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2)),V_e_2)),V_c_2) = V_d_2 ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_minus__unique,axiom,
% 202.58/202.68 ! [V_b,V_a,T_a] :
% 202.58/202.68 ( class_Groups_Ogroup__add(T_a)
% 202.58/202.68 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a)
% 202.58/202.68 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) = V_b ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_ab__left__minus,axiom,
% 202.58/202.68 ! [V_a,T_a] :
% 202.58/202.68 ( class_Groups_Oab__group__add(T_a)
% 202.58/202.68 => 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) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_left__minus,axiom,
% 202.58/202.68 ! [V_a,T_a] :
% 202.58/202.68 ( class_Groups_Ogroup__add(T_a)
% 202.58/202.68 => 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) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_eq__neg__iff__add__eq__0,axiom,
% 202.58/202.68 ! [V_b_2,V_a_2,T_b] :
% 202.58/202.68 ( class_Groups_Ogroup__add(T_b)
% 202.58/202.68 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)
% 202.58/202.68 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_right__minus,axiom,
% 202.58/202.68 ! [V_a,T_a] :
% 202.58/202.68 ( class_Groups_Ogroup__add(T_a)
% 202.58/202.68 => 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) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_zero__le__one,axiom,
% 202.58/202.68 ! [T_a] :
% 202.58/202.68 ( class_Rings_Olinordered__semidom(T_a)
% 202.58/202.68 => 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))) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_not__one__le__zero,axiom,
% 202.58/202.68 ! [T_a] :
% 202.58/202.68 ( class_Rings_Olinordered__semidom(T_a)
% 202.58/202.68 => ~ 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))) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_not__one__less__zero,axiom,
% 202.58/202.68 ! [T_a] :
% 202.58/202.68 ( class_Rings_Olinordered__semidom(T_a)
% 202.58/202.68 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_zero__less__one,axiom,
% 202.58/202.68 ! [T_a] :
% 202.58/202.68 ( class_Rings_Olinordered__semidom(T_a)
% 202.58/202.68 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Oone__class_Oone(T_a))) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_less__1__mult,axiom,
% 202.58/202.68 ! [V_n,V_m,T_a] :
% 202.58/202.68 ( class_Rings_Olinordered__semidom(T_a)
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_m))
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_n))
% 202.58/202.68 => 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))) ) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_diff__minus__eq__add,axiom,
% 202.58/202.68 ! [V_b,V_a,T_a] :
% 202.58/202.68 ( class_Groups_Ogroup__add(T_a)
% 202.58/202.68 => 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) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_ab__diff__minus,axiom,
% 202.58/202.68 ! [V_b,V_a,T_a] :
% 202.58/202.68 ( class_Groups_Oab__group__add(T_a)
% 202.58/202.68 => 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)) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_diff__def,axiom,
% 202.58/202.68 ! [V_b,V_a,T_a] :
% 202.58/202.68 ( class_Groups_Ogroup__add(T_a)
% 202.58/202.68 => 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)) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J,axiom,
% 202.58/202.68 ! [V_y,V_x,T_a] :
% 202.58/202.68 ( class_Rings_Ocomm__ring__1(T_a)
% 202.58/202.68 => 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)) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_of__nat__0__le__iff,axiom,
% 202.58/202.68 ! [V_n,T_a] :
% 202.58/202.68 ( class_Rings_Olinordered__semidom(T_a)
% 202.58/202.68 => 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))) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_zero__le__imp__of__nat,axiom,
% 202.58/202.68 ! [V_m,T_a] :
% 202.58/202.68 ( class_Rings_Olinordered__semidom(T_a)
% 202.58/202.68 => 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))) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_of__nat__less__0__iff,axiom,
% 202.58/202.68 ! [V_m,T_a] :
% 202.58/202.68 ( class_Rings_Olinordered__semidom(T_a)
% 202.58/202.68 => ~ 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))) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_square__eq__1__iff,axiom,
% 202.58/202.68 ! [V_x_2,T_b] :
% 202.58/202.68 ( class_Rings_Oring__1__no__zero__divisors(T_b)
% 202.58/202.68 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_x_2) = c_Groups_Oone__class_Oone(T_b)
% 202.58/202.68 <=> ( V_x_2 = c_Groups_Oone__class_Oone(T_b)
% 202.58/202.68 | V_x_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b)) ) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J,axiom,
% 202.58/202.68 ! [V_x,T_a] :
% 202.58/202.68 ( class_Rings_Ocomm__ring__1(T_a)
% 202.58/202.68 => 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) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_of__nat__0,axiom,
% 202.58/202.68 ! [T_a] :
% 202.58/202.68 ( class_Rings_Osemiring__1(T_a)
% 202.58/202.68 => 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) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_one__is__add,axiom,
% 202.58/202.68 ! [V_n_2,V_m_2] :
% 202.58/202.68 ( 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)
% 202.58/202.68 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 202.58/202.68 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 202.58/202.68 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.58/202.68 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_add__is__1,axiom,
% 202.58/202.68 ! [V_n_2,V_m_2] :
% 202.58/202.68 ( 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))
% 202.58/202.68 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 202.58/202.68 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 202.58/202.68 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.58/202.68 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_add__gr__0,axiom,
% 202.58/202.68 ! [V_n_2,V_m_2] :
% 202.58/202.68 ( 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)))
% 202.58/202.68 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2))
% 202.58/202.68 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_of__nat__less__imp__less,axiom,
% 202.58/202.68 ! [V_n,V_m,T_a] :
% 202.58/202.68 ( class_Rings_Olinordered__semidom(T_a)
% 202.58/202.68 => ( 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)))
% 202.58/202.68 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_less__imp__of__nat__less,axiom,
% 202.58/202.68 ! [V_n,V_m,T_a] :
% 202.58/202.68 ( class_Rings_Olinordered__semidom(T_a)
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 202.58/202.68 => 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))) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_of__nat__less__iff,axiom,
% 202.58/202.68 ! [V_n_2,V_m_2,T_b] :
% 202.58/202.68 ( class_Rings_Olinordered__semidom(T_b)
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)))
% 202.58/202.68 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_less__iff__Suc__add,axiom,
% 202.58/202.68 ! [V_n_2,V_m_2] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 202.58/202.68 <=> ? [B_k] : V_n_2 = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k)) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_less__add__Suc2,axiom,
% 202.58/202.68 ! [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)))) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_less__add__Suc1,axiom,
% 202.58/202.68 ! [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)))) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_of__nat__le__iff,axiom,
% 202.58/202.68 ! [V_n_2,V_m_2,T_b] :
% 202.58/202.68 ( class_Rings_Olinordered__semidom(T_b)
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)))
% 202.58/202.68 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_diff__add__0,axiom,
% 202.58/202.68 ! [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) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_One__nat__def,axiom,
% 202.58/202.68 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_mult__Suc__right,axiom,
% 202.58/202.68 ! [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)) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_mult__Suc,axiom,
% 202.58/202.68 ! [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)) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_add__diff__inverse,axiom,
% 202.58/202.68 ! [V_n,V_m] :
% 202.58/202.68 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 202.58/202.68 => 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 ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_less__diff__conv,axiom,
% 202.58/202.68 ! [V_k_2,V_j_2,V_i_2] :
% 202.58/202.68 ( 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)))
% 202.58/202.68 <=> 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)) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_of__nat__mult,axiom,
% 202.58/202.68 ! [V_n,V_m,T_a] :
% 202.58/202.68 ( class_Rings_Osemiring__1(T_a)
% 202.58/202.68 => 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)) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_diff__diff__right,axiom,
% 202.58/202.68 ! [V_i,V_j,V_k] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 202.58/202.68 => 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) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_le__diff__conv,axiom,
% 202.58/202.68 ! [V_i_2,V_k_2,V_j_2] :
% 202.58/202.68 ( 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))
% 202.58/202.68 <=> 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))) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_le__add__diff,axiom,
% 202.58/202.68 ! [V_m,V_n,V_k] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n))
% 202.58/202.68 => 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))) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_le__add__diff__inverse,axiom,
% 202.58/202.68 ! [V_m,V_n] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 202.58/202.68 => 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 ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_add__diff__assoc,axiom,
% 202.58/202.68 ! [V_i,V_j,V_k] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 202.58/202.68 => 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) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_le__diff__conv2,axiom,
% 202.58/202.68 ! [V_i_2,V_j_2,V_k_2] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_j_2))
% 202.58/202.68 => ( 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)))
% 202.58/202.68 <=> 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)) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_le__add__diff__inverse2,axiom,
% 202.58/202.68 ! [V_m,V_n] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 202.58/202.68 => 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 ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_le__imp__diff__is__add,axiom,
% 202.58/202.68 ! [V_k_2,V_j_2,V_i_2] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 202.58/202.68 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2) = V_k_2
% 202.58/202.68 <=> V_j_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_i_2) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_diff__add__assoc,axiom,
% 202.58/202.68 ! [V_i,V_j,V_k] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 202.58/202.68 => 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)) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_add__diff__assoc2,axiom,
% 202.58/202.68 ! [V_i,V_j,V_k] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 202.58/202.68 => 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) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_diff__add__assoc2,axiom,
% 202.58/202.68 ! [V_i,V_j,V_k] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 202.58/202.68 => 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) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_mult__eq__self__implies__10,axiom,
% 202.58/202.68 ! [V_n,V_m] :
% 202.58/202.68 ( V_m = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)
% 202.58/202.68 => ( V_n = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 202.58/202.68 | V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_diff__Suc__1,axiom,
% 202.58/202.68 ! [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 ).
% 202.58/202.68
% 202.58/202.68 fof(fact_diff__Suc__eq__diff__pred,axiom,
% 202.58/202.68 ! [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) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_atLeastLessThan__add__Un,axiom,
% 202.58/202.68 ! [V_k_2,V_j_2,V_i_2] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 202.58/202.68 => 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))) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_inj__of__nat,axiom,
% 202.58/202.68 ! [T_b] :
% 202.58/202.68 ( class_Nat_Osemiring__char__0(T_b)
% 202.58/202.68 => c_Fun_Oinj__on(tc_Nat_Onat,T_b,c_Nat_Osemiring__1__class_Oof__nat(T_b),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_add__pos__nonneg,axiom,
% 202.58/202.68 ! [V_b,V_a,T_a] :
% 202.58/202.68 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 202.58/202.68 => 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))) ) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_add__nonneg__pos,axiom,
% 202.58/202.68 ! [V_b,V_a,T_a] :
% 202.58/202.68 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 202.58/202.68 => 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))) ) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_add__strict__increasing,axiom,
% 202.58/202.68 ! [V_c,V_b,V_a,T_a] :
% 202.58/202.68 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 202.58/202.68 => 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))) ) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_add__strict__increasing2,axiom,
% 202.58/202.68 ! [V_c,V_b,V_a,T_a] :
% 202.58/202.68 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 202.58/202.68 => 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))) ) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_add__neg__nonpos,axiom,
% 202.58/202.68 ! [V_b,V_a,T_a] :
% 202.58/202.68 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 202.58/202.68 => 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))) ) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_add__nonpos__neg,axiom,
% 202.58/202.68 ! [V_b,V_a,T_a] :
% 202.58/202.68 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 202.58/202.68 => 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))) ) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_sum__squares__le__zero__iff,axiom,
% 202.58/202.68 ! [V_y_2,V_x_2,T_b] :
% 202.58/202.68 ( class_Rings_Olinordered__ring__strict(T_b)
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_x_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_y_2),V_y_2))),c_Groups_Ozero__class_Ozero(T_b)))
% 202.58/202.68 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 202.58/202.68 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_sum__squares__ge__zero,axiom,
% 202.58/202.68 ! [V_y,V_x,T_a] :
% 202.58/202.68 ( class_Rings_Olinordered__ring(T_a)
% 202.58/202.68 => 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)))) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_sum__squares__gt__zero__iff,axiom,
% 202.58/202.68 ! [V_y_2,V_x_2,T_b] :
% 202.58/202.68 ( class_Rings_Olinordered__ring__strict(T_b)
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_x_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_y_2),V_y_2))))
% 202.58/202.68 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_b)
% 202.58/202.68 | V_y_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_not__sum__squares__lt__zero,axiom,
% 202.58/202.68 ! [V_y,V_x,T_a] :
% 202.58/202.68 ( class_Rings_Olinordered__ring(T_a)
% 202.58/202.68 => ~ 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))) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_le__add__iff1,axiom,
% 202.58/202.68 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 202.58/202.68 ( class_Rings_Oordered__ring(T_b)
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2)))
% 202.58/202.68 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2)),V_e_2)),V_c_2)),V_d_2)) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_le__add__iff2,axiom,
% 202.58/202.68 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 202.58/202.68 ( class_Rings_Oordered__ring(T_b)
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2)))
% 202.58/202.68 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_b_2),V_a_2)),V_e_2)),V_d_2))) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_less__add__iff1,axiom,
% 202.58/202.68 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 202.58/202.68 ( class_Rings_Oordered__ring(T_b)
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2)))
% 202.58/202.68 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2)),V_e_2)),V_c_2)),V_d_2)) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_less__add__iff2,axiom,
% 202.58/202.68 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 202.58/202.68 ( class_Rings_Oordered__ring(T_b)
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2)))
% 202.58/202.68 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_b_2),V_a_2)),V_e_2)),V_d_2))) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_mult__left__le__one__le,axiom,
% 202.58/202.68 ! [V_y,V_x,T_a] :
% 202.58/202.68 ( class_Rings_Olinordered__idom(T_a)
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a)))
% 202.58/202.68 => 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)) ) ) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_mult__right__le__one__le,axiom,
% 202.58/202.68 ! [V_y,V_x,T_a] :
% 202.58/202.68 ( class_Rings_Olinordered__idom(T_a)
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a)))
% 202.58/202.68 => 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)) ) ) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_nat__diff__split,axiom,
% 202.58/202.68 ! [V_b_2,V_a_2,V_P_2] :
% 202.58/202.68 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2)))
% 202.58/202.68 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 202.58/202.68 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 202.58/202.68 & ! [B_d] :
% 202.58/202.68 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d)
% 202.58/202.68 => hBOOL(hAPP(V_P_2,B_d)) ) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_nat__diff__split__asm,axiom,
% 202.58/202.68 ! [V_b_2,V_a_2,V_P_2] :
% 202.58/202.68 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2)))
% 202.58/202.68 <=> ~ ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 202.58/202.68 & ~ hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 202.58/202.68 | ? [B_d] :
% 202.58/202.68 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d)
% 202.58/202.68 & ~ hBOOL(hAPP(V_P_2,B_d)) ) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_diff__Suc__diff__eq1,axiom,
% 202.58/202.68 ! [V_m,V_j,V_k] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 202.58/202.68 => 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)) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_diff__Suc__diff__eq2,axiom,
% 202.58/202.68 ! [V_m,V_j,V_k] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 202.58/202.68 => 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)) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_nat__le__add__iff1,axiom,
% 202.58/202.68 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 202.58/202.68 => ( 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)))
% 202.58/202.68 <=> 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)) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_nat__diff__add__eq1,axiom,
% 202.58/202.68 ! [V_n,V_m,V_u,V_i,V_j] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i))
% 202.58/202.68 => 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) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_nat__eq__add__iff1,axiom,
% 202.58/202.68 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 202.58/202.68 => ( 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)
% 202.58/202.68 <=> 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 ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_nat__le__add__iff2,axiom,
% 202.58/202.68 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 202.58/202.68 => ( 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)))
% 202.58/202.68 <=> 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))) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_nat__diff__add__eq2,axiom,
% 202.58/202.68 ! [V_n,V_m,V_u,V_j,V_i] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 202.58/202.68 => 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)) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_nat__eq__add__iff2,axiom,
% 202.58/202.68 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 202.58/202.68 => ( 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)
% 202.58/202.68 <=> 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) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_of__nat__diff,axiom,
% 202.58/202.68 ! [V_m,V_n,T_a] :
% 202.58/202.68 ( class_Rings_Oring__1(T_a)
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 202.58/202.68 => 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)) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_zdiff__int__split,axiom,
% 202.58/202.68 ! [V_y_2,V_x_2,V_P_2] :
% 202.58/202.68 ( 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))))
% 202.58/202.68 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),V_x_2))
% 202.58/202.68 => 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)))) )
% 202.58/202.68 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 202.58/202.68 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_even__less__0__iff,axiom,
% 202.58/202.68 ! [V_a_2,T_b] :
% 202.58/202.68 ( class_Rings_Olinordered__idom(T_b)
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 202.58/202.68 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_negative__zless,axiom,
% 202.58/202.68 ! [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))) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_zdiff__int,axiom,
% 202.58/202.68 ! [V_m,V_n] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 202.58/202.68 => 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)) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_zmult__zless__mono2__lemma,axiom,
% 202.58/202.68 ! [V_k,V_j,V_i] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 202.58/202.68 => 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))) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_zero__less__int__conv,axiom,
% 202.58/202.68 ! [V_n_2] :
% 202.58/202.68 ( 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)))
% 202.58/202.68 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_double__eq__0__iff,axiom,
% 202.58/202.68 ! [V_a_2,T_b] :
% 202.58/202.68 ( class_Groups_Olinordered__ab__group__add(T_b)
% 202.58/202.68 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 202.58/202.68 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_ex__least__nat__less,axiom,
% 202.58/202.68 ! [V_n_2,V_P_2] :
% 202.58/202.68 ( ~ hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 202.58/202.68 => ( hBOOL(hAPP(V_P_2,V_n_2))
% 202.58/202.68 => ? [B_k] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_k),V_n_2))
% 202.58/202.68 & ! [B_i] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_k))
% 202.58/202.68 => ~ hBOOL(hAPP(V_P_2,B_i)) )
% 202.58/202.68 & 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)))) ) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_negative__zle,axiom,
% 202.58/202.68 ! [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))) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_pos__zmult__eq__1__iff,axiom,
% 202.58/202.68 ! [V_n_2,V_m_2] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m_2))
% 202.58/202.68 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 202.58/202.68 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 202.58/202.68 & V_n_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_zmult__1,axiom,
% 202.58/202.68 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z) = V_z ).
% 202.58/202.68
% 202.58/202.68 fof(fact_zmult__1__right,axiom,
% 202.58/202.68 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),c_Groups_Oone__class_Oone(tc_Int_Oint)) = V_z ).
% 202.58/202.68
% 202.58/202.68 fof(fact_zadd__zmult__distrib2,axiom,
% 202.58/202.68 ! [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)) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_zadd__zmult__distrib,axiom,
% 202.58/202.68 ! [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)) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_int__Suc,axiom,
% 202.58/202.68 ! [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)) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_int__1,axiom,
% 202.58/202.68 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) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_zadd__int,axiom,
% 202.58/202.68 ! [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)) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_int__int__eq,axiom,
% 202.58/202.68 ! [V_n_2,V_m_2] :
% 202.58/202.68 ( 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)
% 202.58/202.68 <=> V_m_2 = V_n_2 ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_zadd__int__left,axiom,
% 202.58/202.68 ! [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) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_zle__iff__zadd,axiom,
% 202.58/202.68 ! [V_z_2,V_w_2] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2))
% 202.58/202.68 <=> ? [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)) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_zminus__zadd__distrib,axiom,
% 202.58/202.68 ! [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)) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_zless__iff__Suc__zadd,axiom,
% 202.58/202.68 ! [V_z_2,V_w_2] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2))
% 202.58/202.68 <=> ? [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))) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_zless__add1__eq,axiom,
% 202.58/202.68 ! [V_z_2,V_w_2] :
% 202.58/202.68 ( 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))))
% 202.58/202.68 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2))
% 202.58/202.68 | V_w_2 = V_z_2 ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_zadd__strict__right__mono,axiom,
% 202.58/202.68 ! [V_k,V_j,V_i] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 202.58/202.68 => 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))) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_zadd__zless__mono,axiom,
% 202.58/202.68 ! [V_z,V_z_H,V_w,V_w_H] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_H),V_w))
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z))
% 202.58/202.68 => 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))) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_zless__imp__add1__zle,axiom,
% 202.58/202.68 ! [V_z,V_w] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w),V_z))
% 202.58/202.68 => 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)) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_add1__zle__eq,axiom,
% 202.58/202.68 ! [V_z_2,V_w_2] :
% 202.58/202.68 ( 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))
% 202.58/202.68 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_zle__add1__eq__le,axiom,
% 202.58/202.68 ! [V_z_2,V_w_2] :
% 202.58/202.68 ( 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))))
% 202.58/202.68 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_not__int__zless__negative,axiom,
% 202.58/202.68 ! [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)))) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_simp__from__to,axiom,
% 202.58/202.68 ! [V_i_2,V_j_2] :
% 202.58/202.68 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2))
% 202.58/202.68 => 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)) )
% 202.58/202.68 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2))
% 202.58/202.68 => 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)) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_int__0__neq__1,axiom,
% 202.58/202.68 c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_odd__nonzero,axiom,
% 202.58/202.68 ! [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) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_zadd__0,axiom,
% 202.58/202.68 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z) = V_z ).
% 202.58/202.68
% 202.58/202.68 fof(fact_zadd__0__right,axiom,
% 202.58/202.68 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_z ).
% 202.58/202.68
% 202.58/202.68 fof(fact_zero__zle__int,axiom,
% 202.58/202.68 ! [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))) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_negative__zle__0,axiom,
% 202.58/202.68 ! [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))) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_zadd__zminus__inverse2,axiom,
% 202.58/202.68 ! [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) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_diff__int__def,axiom,
% 202.58/202.68 ! [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)) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_diff__int__def__symmetric,axiom,
% 202.58/202.68 ! [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) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_int__less__0__conv,axiom,
% 202.58/202.68 ! [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))) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_int__0__less__1,axiom,
% 202.58/202.68 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))) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_odd__less__0,axiom,
% 202.58/202.68 ! [V_z_2] :
% 202.58/202.68 ( 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)))
% 202.58/202.68 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_le__imp__0__less,axiom,
% 202.58/202.68 ! [V_z] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 202.58/202.68 => 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))) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_zle__diff1__eq,axiom,
% 202.58/202.68 ! [V_z_2,V_w_2] :
% 202.58/202.68 ( 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))))
% 202.58/202.68 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_int__one__le__iff__zero__less,axiom,
% 202.58/202.68 ! [V_z_2] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2))
% 202.58/202.68 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_less__bin__lemma,axiom,
% 202.58/202.68 ! [V_l_2,V_k_2] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2))
% 202.58/202.68 <=> 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))) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_zminus__0,axiom,
% 202.58/202.68 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) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_zless__le,axiom,
% 202.58/202.68 ! [V_w_2,V_z_2] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),V_w_2))
% 202.58/202.68 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),V_w_2))
% 202.58/202.68 & V_z_2 != V_w_2 ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_zless__linear,axiom,
% 202.58/202.68 ! [V_y,V_x] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),V_y))
% 202.58/202.68 | V_x = V_y
% 202.58/202.68 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_x)) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_zminus__zminus,axiom,
% 202.58/202.68 ! [V_z] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)) = V_z ).
% 202.58/202.68
% 202.58/202.68 fof(fact_zmult__zminus,axiom,
% 202.58/202.68 ! [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)) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_zmult__assoc,axiom,
% 202.58/202.68 ! [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)) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_zmult__commute,axiom,
% 202.58/202.68 ! [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) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_zdiff__zmult__distrib,axiom,
% 202.58/202.68 ! [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)) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_zdiff__zmult__distrib2,axiom,
% 202.58/202.68 ! [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)) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_zmult__zless__mono2,axiom,
% 202.58/202.68 ! [V_k,V_j,V_i] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 202.58/202.68 => 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))) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_int__Suc0__eq__1,axiom,
% 202.58/202.68 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) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_negative__eq__positive,axiom,
% 202.58/202.68 ! [V_m_2,V_n_2] :
% 202.58/202.68 ( 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)
% 202.58/202.68 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.58/202.68 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_int__zle__neg,axiom,
% 202.58/202.68 ! [V_m_2,V_n_2] :
% 202.58/202.68 ( 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))))
% 202.58/202.68 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.58/202.68 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_int__le__0__conv,axiom,
% 202.58/202.68 ! [V_n_2] :
% 202.58/202.68 ( 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)))
% 202.58/202.68 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_int__eq__0__conv,axiom,
% 202.58/202.68 ! [V_n_2] :
% 202.58/202.68 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 202.58/202.68 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_int__0,axiom,
% 202.58/202.68 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) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_negative__zless__0,axiom,
% 202.58/202.68 ! [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))) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_not__zle__0__negative,axiom,
% 202.58/202.68 ! [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))))) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_zless__int,axiom,
% 202.58/202.68 ! [V_n_2,V_m_2] :
% 202.58/202.68 ( 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)))
% 202.58/202.68 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_zle__int,axiom,
% 202.58/202.68 ! [V_n_2,V_m_2] :
% 202.58/202.68 ( 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)))
% 202.58/202.68 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_zmult__int,axiom,
% 202.58/202.68 ! [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)) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_int__mult,axiom,
% 202.58/202.68 ! [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)) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_inj__int,axiom,
% 202.58/202.68 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))) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I2_J,axiom,
% 202.58/202.68 ! [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)) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_transfer__int__nat__relations_I2_J,axiom,
% 202.58/202.68 ! [V_y_2,V_x_2] :
% 202.58/202.68 ( 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)))
% 202.58/202.68 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_self__quotient__aux2,axiom,
% 202.58/202.68 ! [V_q,V_r,V_a] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 202.58/202.68 => ( 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))
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 202.58/202.68 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),c_Groups_Oone__class_Oone(tc_Int_Oint))) ) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_self__quotient__aux1,axiom,
% 202.58/202.68 ! [V_q,V_r,V_a] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 202.58/202.68 => ( 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))
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_a))
% 202.58/202.68 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_q)) ) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_q__pos__lemma,axiom,
% 202.58/202.68 ! [V_r_H,V_q_H,V_b_H] :
% 202.58/202.68 ( 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)))
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H))
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 202.58/202.68 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_q_H)) ) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_q__neg__lemma,axiom,
% 202.58/202.68 ! [V_r_H,V_q_H,V_b_H] :
% 202.58/202.68 ( 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)))
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 202.58/202.68 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_unique__quotient__lemma,axiom,
% 202.58/202.68 ! [V_r,V_q,V_r_H,V_q_H,V_b] :
% 202.58/202.68 ( 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)))
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b))
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 202.58/202.68 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_atLeastPlusOneLessThan__greaterThanLessThan__int,axiom,
% 202.58/202.68 ! [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) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_zadd__commute,axiom,
% 202.58/202.68 ! [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) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_zadd__left__commute,axiom,
% 202.58/202.68 ! [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)) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_zadd__assoc,axiom,
% 202.58/202.68 ! [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)) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_zadd__left__mono,axiom,
% 202.58/202.68 ! [V_k,V_j,V_i] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 202.58/202.68 => 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))) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_atLeastLessThanPlusOne__atLeastAtMost__int,axiom,
% 202.58/202.68 ! [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) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_atLeastPlusOneAtMost__greaterThanAtMost__int,axiom,
% 202.58/202.68 ! [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) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_zle__refl,axiom,
% 202.58/202.68 ! [V_w] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_w)) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_zle__linear,axiom,
% 202.58/202.68 ! [V_w,V_z] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w))
% 202.58/202.68 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z)) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_zle__trans,axiom,
% 202.58/202.68 ! [V_k,V_j,V_i] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_j),V_k))
% 202.58/202.68 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_k)) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_zle__antisym,axiom,
% 202.58/202.68 ! [V_w,V_z] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w))
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z))
% 202.58/202.68 => V_z = V_w ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J,axiom,
% 202.58/202.68 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))) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J,axiom,
% 202.58/202.68 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))) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J,axiom,
% 202.58/202.68 ! [V_y,V_x] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 202.58/202.68 => 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))) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_transfer__nat__int__set__relations_I4_J,axiom,
% 202.58/202.68 ! [V_B_2,V_A_2] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2))
% 202.58/202.68 <=> 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))) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_transfer__nat__int__set__relations_I2_J,axiom,
% 202.58/202.68 ! [V_A_2,V_x_2] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),V_A_2))
% 202.58/202.68 <=> 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))) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_transfer__nat__int__set__relations_I3_J,axiom,
% 202.58/202.68 ! [V_B_2,V_A_2] :
% 202.58/202.68 ( V_A_2 = V_B_2
% 202.58/202.68 <=> 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) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_transfer__nat__int__set__relations_I5_J,axiom,
% 202.58/202.68 ! [V_B_2,V_A_2] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2))
% 202.58/202.68 <=> 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))) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_transfer__int__nat__relations_I1_J,axiom,
% 202.58/202.68 ! [V_y_2,V_x_2] :
% 202.58/202.68 ( 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)
% 202.58/202.68 <=> V_x_2 = V_y_2 ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I9_J,axiom,
% 202.58/202.68 ! [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))) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_transfer__int__nat__quantifiers_I2_J,axiom,
% 202.58/202.68 ! [V_P_2] :
% 202.58/202.68 ( ? [B_x] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 202.58/202.68 & hBOOL(hAPP(V_P_2,B_x)) )
% 202.58/202.68 <=> ? [B_x] : hBOOL(hAPP(V_P_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_transfer__int__nat__quantifiers_I1_J,axiom,
% 202.58/202.68 ! [V_P_2] :
% 202.58/202.68 ( ! [B_x] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 202.58/202.68 => hBOOL(hAPP(V_P_2,B_x)) )
% 202.58/202.68 <=> ! [B_x] : hBOOL(hAPP(V_P_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J,axiom,
% 202.58/202.68 ! [V_y,V_x] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 202.58/202.68 => 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))) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I1_J,axiom,
% 202.58/202.68 ! [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)) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_transfer__int__nat__relations_I3_J,axiom,
% 202.58/202.68 ! [V_y_2,V_x_2] :
% 202.58/202.68 ( 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)))
% 202.58/202.68 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_transfer__int__nat__numerals_I2_J,axiom,
% 202.58/202.68 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)) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I2_J,axiom,
% 202.58/202.68 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))) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_transfer__int__nat__numerals_I1_J,axiom,
% 202.58/202.68 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)) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_zdiv__mono2__neg__lemma,axiom,
% 202.58/202.68 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] :
% 202.58/202.68 ( 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)
% 202.58/202.68 => ( 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)))
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 202.58/202.68 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_unique__quotient__lemma__neg,axiom,
% 202.58/202.68 ! [V_r,V_q,V_r_H,V_q_H,V_b] :
% 202.58/202.68 ( 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)))
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r_H))
% 202.58/202.68 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_zdiv__mono2__lemma,axiom,
% 202.58/202.68 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] :
% 202.58/202.68 ( 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)
% 202.58/202.68 => ( 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)))
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H))
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 202.58/202.68 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_aset_I8_J,axiom,
% 202.58/202.68 ! [V_t_2,V_A_2,V_D_2] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 202.58/202.68 => ! [B_x] :
% 202.58/202.68 ( ! [B_xa] :
% 202.58/202.68 ( 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)))
% 202.58/202.68 => ! [B_xb] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 202.58/202.68 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x))
% 202.58/202.68 => 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))) ) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_bset_I6_J,axiom,
% 202.58/202.68 ! [V_t_2,V_B_2,V_D_2] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 202.58/202.68 => ! [B_x] :
% 202.58/202.68 ( ! [B_xa] :
% 202.58/202.68 ( 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)))
% 202.58/202.68 => ! [B_xb] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 202.58/202.68 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2))
% 202.58/202.68 => 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)) ) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_bset_I8_J,axiom,
% 202.58/202.68 ! [V_B_2,V_t_2,V_D_2] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 202.58/202.68 => ( 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))
% 202.58/202.68 => ! [B_x] :
% 202.58/202.68 ( ! [B_xa] :
% 202.58/202.68 ( 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)))
% 202.58/202.68 => ! [B_xb] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 202.58/202.68 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x))
% 202.58/202.68 => 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))) ) ) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_aset_I6_J,axiom,
% 202.58/202.68 ! [V_A_2,V_t_2,V_D_2] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 202.58/202.68 => ( 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))
% 202.58/202.68 => ! [B_x] :
% 202.58/202.68 ( ! [B_xa] :
% 202.58/202.68 ( 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)))
% 202.58/202.68 => ! [B_xb] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 202.58/202.68 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2))
% 202.58/202.68 => 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)) ) ) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_periodic__finite__ex,axiom,
% 202.58/202.68 ! [V_P_2,V_d_2] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 202.58/202.68 => ( ! [B_x,B_k] :
% 202.58/202.68 ( hBOOL(hAPP(V_P_2,B_x))
% 202.58/202.68 <=> 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)))) )
% 202.58/202.68 => ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 202.58/202.68 <=> ? [B_x] :
% 202.58/202.68 ( 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)))
% 202.58/202.68 & hBOOL(hAPP(V_P_2,B_x)) ) ) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_bset_I5_J,axiom,
% 202.58/202.68 ! [V_t_2,V_B_2,V_D_2] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 202.58/202.68 => ! [B_x] :
% 202.58/202.68 ( ! [B_xa] :
% 202.58/202.68 ( 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)))
% 202.58/202.68 => ! [B_xb] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 202.58/202.68 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2))
% 202.58/202.68 => 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)) ) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_aset_I7_J,axiom,
% 202.58/202.68 ! [V_t_2,V_A_2,V_D_2] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 202.58/202.68 => ! [B_x] :
% 202.58/202.68 ( ! [B_xa] :
% 202.58/202.68 ( 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)))
% 202.58/202.68 => ! [B_xb] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 202.58/202.68 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x))
% 202.58/202.68 => 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))) ) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_aset_I4_J,axiom,
% 202.58/202.68 ! [V_A_2,V_t_2,V_D_2] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2))
% 202.58/202.68 => ! [B_x] :
% 202.58/202.68 ( ! [B_xa] :
% 202.58/202.68 ( 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)))
% 202.58/202.68 => ! [B_xb] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 202.58/202.68 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 202.58/202.68 => ( B_x != V_t_2
% 202.58/202.68 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_bset_I4_J,axiom,
% 202.58/202.68 ! [V_B_2,V_t_2,V_D_2] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2))
% 202.58/202.68 => ! [B_x] :
% 202.58/202.68 ( ! [B_xa] :
% 202.58/202.68 ( 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)))
% 202.58/202.68 => ! [B_xb] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 202.58/202.68 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 202.58/202.68 => ( B_x != V_t_2
% 202.58/202.68 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_bset_I7_J,axiom,
% 202.58/202.68 ! [V_B_2,V_t_2,V_D_2] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2))
% 202.58/202.68 => ! [B_x] :
% 202.58/202.68 ( ! [B_xa] :
% 202.58/202.68 ( 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)))
% 202.58/202.68 => ! [B_xb] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 202.58/202.68 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x))
% 202.58/202.68 => 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))) ) ) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_aset_I5_J,axiom,
% 202.58/202.68 ! [V_A_2,V_t_2,V_D_2] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2))
% 202.58/202.68 => ! [B_x] :
% 202.58/202.68 ( ! [B_xa] :
% 202.58/202.68 ( 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)))
% 202.58/202.68 => ! [B_xb] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 202.58/202.68 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2))
% 202.58/202.68 => 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)) ) ) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_aset_I3_J,axiom,
% 202.58/202.68 ! [V_A_2,V_t_2,V_D_2] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 202.58/202.68 => ( 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))
% 202.58/202.68 => ( ! [B_x] :
% 202.58/202.68 ( 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)))
% 202.58/202.68 => ! [B_xa] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_A_2))
% 202.58/202.68 => V_t_2 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xa),B_x) ) )
% 202.58/202.68 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_bset_I3_J,axiom,
% 202.58/202.68 ! [V_B_2,V_t_2,V_D_2] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 202.58/202.68 => ( 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))
% 202.58/202.68 => ( ! [B_x] :
% 202.58/202.68 ( 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)))
% 202.58/202.68 => ! [B_xa] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_B_2))
% 202.58/202.68 => V_t_2 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xa),B_x) ) )
% 202.58/202.68 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_tsub__def,axiom,
% 202.58/202.68 ! [V_x,V_y] :
% 202.58/202.68 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 202.58/202.68 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) )
% 202.58/202.68 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 202.58/202.68 => c_Nat__Transfer_Otsub(V_x,V_y) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J,axiom,
% 202.58/202.68 ! [V_y,V_x] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 202.58/202.68 => 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))) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_tsub__eq,axiom,
% 202.58/202.68 ! [V_x,V_y] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 202.58/202.68 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I3_J,axiom,
% 202.58/202.68 ! [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)) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_Ints__odd__less__0,axiom,
% 202.58/202.68 ! [V_a_2,T_b] :
% 202.58/202.68 ( class_Rings_Olinordered__idom(T_b)
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),c_Groups_Oone__class_Oone(T_b)),V_a_2)),V_a_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 202.58/202.68 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_image__atLeastZeroLessThan__int,axiom,
% 202.58/202.68 ! [V_u_2] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_u_2))
% 202.58/202.68 => 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))) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_decr__mult__lemma,axiom,
% 202.58/202.68 ! [V_k_2,V_P_2,V_d_2] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 202.58/202.68 => ( ! [B_x] :
% 202.58/202.68 ( hBOOL(hAPP(V_P_2,B_x))
% 202.58/202.68 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_d_2))) )
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 202.58/202.68 => ! [B_x] :
% 202.58/202.68 ( hBOOL(hAPP(V_P_2,B_x))
% 202.58/202.68 => 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)))) ) ) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_negD,axiom,
% 202.58/202.68 ! [V_x] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 202.58/202.68 => ? [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))) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_incr__mult__lemma,axiom,
% 202.58/202.68 ! [V_k_2,V_P_2,V_d_2] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 202.58/202.68 => ( ! [B_x] :
% 202.58/202.68 ( hBOOL(hAPP(V_P_2,B_x))
% 202.58/202.68 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_d_2))) )
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 202.58/202.68 => ! [B_x] :
% 202.58/202.68 ( hBOOL(hAPP(V_P_2,B_x))
% 202.58/202.68 => 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)))) ) ) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_zero__less__imp__eq__int,axiom,
% 202.58/202.68 ! [V_k] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 202.58/202.68 => ? [B_n] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n))
% 202.58/202.68 & V_k = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_sgn__neg,axiom,
% 202.58/202.68 ! [V_a,T_a] :
% 202.58/202.68 ( class_Rings_Olinordered__idom(T_a)
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 202.58/202.68 => c_Groups_Osgn__class_Osgn(T_a,V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_sgn__sgn,axiom,
% 202.58/202.68 ! [V_a,T_a] :
% 202.58/202.68 ( class_Rings_Olinordered__idom(T_a)
% 202.58/202.68 => 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) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_nat__int,axiom,
% 202.58/202.68 ! [V_n] : hAPP(c_Int_Onat,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = V_n ).
% 202.58/202.68
% 202.58/202.68 fof(fact_sgn0,axiom,
% 202.58/202.68 ! [T_a] :
% 202.58/202.68 ( class_Groups_Osgn__if(T_a)
% 202.58/202.68 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_sgn__0__0,axiom,
% 202.58/202.68 ! [V_a_2,T_b] :
% 202.58/202.68 ( class_Rings_Olinordered__idom(T_b)
% 202.58/202.68 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 202.58/202.68 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_sgn__times,axiom,
% 202.58/202.68 ! [V_b,V_a,T_a] :
% 202.58/202.68 ( class_Rings_Olinordered__idom(T_a)
% 202.58/202.68 => 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)) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_nat__0,axiom,
% 202.58/202.68 hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_transfer__nat__int__numerals_I1_J,axiom,
% 202.58/202.68 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_eq__nat__nat__iff,axiom,
% 202.58/202.68 ! [V_z_H_2,V_z_2] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H_2))
% 202.58/202.68 => ( hAPP(c_Int_Onat,V_z_2) = hAPP(c_Int_Onat,V_z_H_2)
% 202.58/202.68 <=> V_z_2 = V_z_H_2 ) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_transfer__nat__int__relations_I1_J,axiom,
% 202.58/202.68 ! [V_y_2,V_x_2] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 202.58/202.68 => ( hAPP(c_Int_Onat,V_x_2) = hAPP(c_Int_Onat,V_y_2)
% 202.58/202.68 <=> V_x_2 = V_y_2 ) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_all__nat,axiom,
% 202.58/202.68 ! [V_P_2] :
% 202.58/202.68 ( ! [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 202.58/202.68 <=> ! [B_x] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 202.58/202.68 => hBOOL(hAPP(V_P_2,hAPP(c_Int_Onat,B_x))) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_ex__nat,axiom,
% 202.58/202.68 ! [V_P_2] :
% 202.58/202.68 ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 202.58/202.68 <=> ? [B_x] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 202.58/202.68 & hBOOL(hAPP(V_P_2,hAPP(c_Int_Onat,B_x))) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_transfer__nat__int__numerals_I2_J,axiom,
% 202.58/202.68 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_transfer__int__nat__set__return__embed,axiom,
% 202.58/202.68 ! [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 ).
% 202.58/202.68
% 202.58/202.68 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I4_J,axiom,
% 202.58/202.68 ! [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))) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I2_J,axiom,
% 202.58/202.68 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))) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_Ints__0,axiom,
% 202.58/202.68 ! [T_b] :
% 202.58/202.68 ( class_Rings_Oring__1(T_b)
% 202.58/202.68 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Int_Oring__1__class_OInts(T_b))) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_nat__0__iff,axiom,
% 202.58/202.68 ! [V_i_2] :
% 202.58/202.68 ( hAPP(c_Int_Onat,V_i_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.58/202.68 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_nat__le__0,axiom,
% 202.58/202.68 ! [V_z] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 202.58/202.68 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_nat__mono__iff,axiom,
% 202.58/202.68 ! [V_w_2,V_z_2] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 202.58/202.68 => ( 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)))
% 202.58/202.68 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_zless__nat__conj,axiom,
% 202.58/202.68 ! [V_z_2,V_w_2] :
% 202.58/202.68 ( 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)))
% 202.58/202.68 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 202.58/202.68 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_Ints__add,axiom,
% 202.58/202.68 ! [V_b_2,V_a_2,T_b] :
% 202.58/202.68 ( class_Rings_Oring__1(T_b)
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b)))
% 202.58/202.68 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_b_2)),c_Int_Oring__1__class_OInts(T_b))) ) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_Ints__mult,axiom,
% 202.58/202.68 ! [V_b_2,V_a_2,T_b] :
% 202.58/202.68 ( class_Rings_Oring__1(T_b)
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b)))
% 202.58/202.68 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_b_2)),c_Int_Oring__1__class_OInts(T_b))) ) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_transfer__nat__int__relations_I3_J,axiom,
% 202.58/202.68 ! [V_y_2,V_x_2] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 202.58/202.68 => ( 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)))
% 202.58/202.68 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_nat__1,axiom,
% 202.58/202.68 hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_Ints__diff,axiom,
% 202.58/202.68 ! [V_b_2,V_a_2,T_b] :
% 202.58/202.68 ( class_Rings_Oring__1(T_b)
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b)))
% 202.58/202.68 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2)),c_Int_Oring__1__class_OInts(T_b))) ) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_Ints__1,axiom,
% 202.58/202.68 ! [T_b] :
% 202.58/202.68 ( class_Rings_Oring__1(T_b)
% 202.58/202.68 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Oone__class_Oone(T_b)),c_Int_Oring__1__class_OInts(T_b))) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_nat__0__le,axiom,
% 202.58/202.68 ! [V_z] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 202.58/202.68 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_int__eq__iff,axiom,
% 202.58/202.68 ! [V_z_2,V_m_2] :
% 202.58/202.68 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) = V_z_2
% 202.58/202.68 <=> ( V_m_2 = hAPP(c_Int_Onat,V_z_2)
% 202.58/202.68 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_int__nat__eq,axiom,
% 202.58/202.68 ! [V_z] :
% 202.58/202.68 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 202.58/202.68 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z )
% 202.58/202.68 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 202.58/202.68 => 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) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_zless__nat__eq__int__zless,axiom,
% 202.58/202.68 ! [V_z_2,V_m_2] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Int_Onat,V_z_2)))
% 202.58/202.68 <=> 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)) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_Ints__minus,axiom,
% 202.58/202.68 ! [V_a_2,T_b] :
% 202.58/202.68 ( class_Rings_Oring__1(T_b)
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 202.58/202.68 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),c_Int_Oring__1__class_OInts(T_b))) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_Ints__of__nat,axiom,
% 202.58/202.68 ! [V_n_2,T_b] :
% 202.58/202.68 ( class_Rings_Oring__1(T_b)
% 202.58/202.68 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)),c_Int_Oring__1__class_OInts(T_b))) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_nat__zminus__int,axiom,
% 202.58/202.68 ! [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) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_sgn__less,axiom,
% 202.58/202.68 ! [V_a_2,T_b] :
% 202.58/202.68 ( class_Rings_Olinordered__idom(T_b)
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Osgn__class_Osgn(T_b,V_a_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 202.58/202.68 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_sgn__greater,axiom,
% 202.58/202.68 ! [V_a_2,T_b] :
% 202.58/202.68 ( class_Rings_Olinordered__idom(T_b)
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Groups_Osgn__class_Osgn(T_b,V_a_2)))
% 202.58/202.68 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I2_J,axiom,
% 202.58/202.68 ! [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))) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_zero__less__nat__eq,axiom,
% 202.58/202.68 ! [V_z_2] :
% 202.58/202.68 ( 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)))
% 202.58/202.68 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_nat__less__eq__zless,axiom,
% 202.58/202.68 ! [V_z_2,V_w_2] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 202.58/202.68 => ( 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)))
% 202.58/202.68 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_transfer__nat__int__relations_I2_J,axiom,
% 202.58/202.68 ! [V_y_2,V_x_2] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 202.58/202.68 => ( 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)))
% 202.58/202.68 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_nat__eq__iff,axiom,
% 202.58/202.68 ! [V_m_2,V_w_2] :
% 202.58/202.68 ( hAPP(c_Int_Onat,V_w_2) = V_m_2
% 202.58/202.68 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 202.58/202.68 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) )
% 202.58/202.68 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 202.58/202.68 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_nat__eq__iff2,axiom,
% 202.58/202.68 ! [V_w_2,V_m_2] :
% 202.58/202.68 ( V_m_2 = hAPP(c_Int_Onat,V_w_2)
% 202.58/202.68 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 202.58/202.68 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) )
% 202.58/202.68 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 202.58/202.68 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_nat__le__eq__zle,axiom,
% 202.58/202.68 ! [V_z_2,V_w_2] :
% 202.58/202.68 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 202.58/202.68 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) )
% 202.58/202.68 => ( 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)))
% 202.58/202.68 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_split__nat,axiom,
% 202.58/202.68 ! [V_i_2,V_P_2] :
% 202.58/202.68 ( hBOOL(hAPP(V_P_2,hAPP(c_Int_Onat,V_i_2)))
% 202.58/202.68 <=> ( ! [B_n] :
% 202.58/202.68 ( V_i_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n)
% 202.58/202.68 => hBOOL(hAPP(V_P_2,B_n)) )
% 202.58/202.68 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 202.58/202.68 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_nat__add__distrib,axiom,
% 202.58/202.68 ! [V_z_H,V_z] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H))
% 202.58/202.68 => 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)) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I1_J,axiom,
% 202.58/202.68 ! [V_y,V_x] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 202.58/202.68 => 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)) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_nat__mult__distrib,axiom,
% 202.58/202.68 ! [V_z_H,V_z] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 202.58/202.68 => 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)) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I2_J,axiom,
% 202.58/202.68 ! [V_y,V_x] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 202.58/202.68 => 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)) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I3_J,axiom,
% 202.58/202.68 ! [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))) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_nat__diff__distrib,axiom,
% 202.58/202.68 ! [V_z,V_z_H] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H))
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z))
% 202.58/202.68 => 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)) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_Ints__double__eq__0__iff,axiom,
% 202.58/202.68 ! [V_a_2,T_b] :
% 202.58/202.68 ( class_Int_Oring__char__0(T_b)
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 202.58/202.68 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 202.58/202.68 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I1_J,axiom,
% 202.58/202.68 ! [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))) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I3_J,axiom,
% 202.58/202.68 ! [V_y,V_x] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 202.58/202.68 => 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)) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_sgn__pos,axiom,
% 202.58/202.68 ! [V_a,T_a] :
% 202.58/202.68 ( class_Rings_Olinordered__idom(T_a)
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 202.58/202.68 => c_Groups_Osgn__class_Osgn(T_a,V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_sgn__1__pos,axiom,
% 202.58/202.68 ! [V_a_2,T_b] :
% 202.58/202.68 ( class_Rings_Olinordered__idom(T_b)
% 202.58/202.68 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = c_Groups_Oone__class_Oone(T_b)
% 202.58/202.68 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_one__less__nat__eq,axiom,
% 202.58/202.68 ! [V_z_2] :
% 202.58/202.68 ( 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)))
% 202.58/202.68 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2)) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_nat__less__iff,axiom,
% 202.58/202.68 ! [V_m_2,V_w_2] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),V_m_2))
% 202.58/202.68 <=> 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))) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_Suc__nat__eq__nat__zadd1,axiom,
% 202.58/202.68 ! [V_z] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 202.58/202.68 => 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)) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_nat__mult__distrib__neg,axiom,
% 202.58/202.68 ! [V_z_H,V_z] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 202.58/202.68 => 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))) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_Ints__odd__nonzero,axiom,
% 202.58/202.68 ! [V_a_2,T_b] :
% 202.58/202.68 ( class_Int_Oring__char__0(T_b)
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 202.58/202.68 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),c_Groups_Oone__class_Oone(T_b)),V_a_2)),V_a_2) != c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_zsgn__def,axiom,
% 202.58/202.68 ! [V_i] :
% 202.58/202.68 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 202.58/202.68 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 202.58/202.68 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 202.58/202.68 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i))
% 202.58/202.68 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Oone__class_Oone(tc_Int_Oint) )
% 202.58/202.68 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i))
% 202.58/202.68 => 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)) ) ) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_sgn__if,axiom,
% 202.58/202.68 ! [V_x,T_a] :
% 202.58/202.68 ( class_Groups_Osgn__if(T_a)
% 202.58/202.68 => ( ( V_x = c_Groups_Ozero__class_Ozero(T_a)
% 202.58/202.68 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Ozero__class_Ozero(T_a) )
% 202.58/202.68 & ( V_x != c_Groups_Ozero__class_Ozero(T_a)
% 202.58/202.68 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 202.58/202.68 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Oone__class_Oone(T_a) )
% 202.58/202.68 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 202.58/202.68 => c_Groups_Osgn__class_Osgn(T_a,V_x) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_sgn__1__neg,axiom,
% 202.58/202.68 ! [V_a_2,T_b] :
% 202.58/202.68 ( class_Rings_Olinordered__idom(T_b)
% 202.58/202.68 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b))
% 202.58/202.68 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_nat__aux__def,axiom,
% 202.58/202.68 ! [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) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_transfer__morphism__nat__int,axiom,
% 202.58/202.68 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))) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_SetInterval_Otransfer__int__nat__set__functions,axiom,
% 202.58/202.68 ! [V_n_2,V_m_2] :
% 202.58/202.68 ( c_Nat__Transfer_Ois__nat(V_m_2)
% 202.58/202.68 => ( c_Nat__Transfer_Ois__nat(V_n_2)
% 202.58/202.68 => 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))) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_of__int__of__nat,axiom,
% 202.58/202.68 ! [V_k,T_a] :
% 202.58/202.68 ( class_Rings_Oring__1(T_a)
% 202.58/202.68 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 202.58/202.68 => 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)))) )
% 202.58/202.68 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 202.58/202.68 => 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)) ) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I3_J,axiom,
% 202.58/202.68 ! [V_B_2,V_A_2] :
% 202.58/202.68 ( c_Nat__Transfer_Onat__set(V_A_2)
% 202.58/202.68 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 202.58/202.68 => 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))) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_transfer__int__nat__set__relations_I4_J,axiom,
% 202.58/202.68 ! [V_B_2,V_A_2] :
% 202.58/202.68 ( c_Nat__Transfer_Onat__set(V_A_2)
% 202.58/202.68 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2))
% 202.58/202.68 <=> 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))) ) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_transfer__int__nat__set__relations_I5_J,axiom,
% 202.58/202.68 ! [V_B_2,V_A_2] :
% 202.58/202.68 ( c_Nat__Transfer_Onat__set(V_A_2)
% 202.58/202.68 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2))
% 202.58/202.68 <=> 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))) ) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_of__int__eq__iff,axiom,
% 202.58/202.68 ! [V_z_2,V_w_2,T_b] :
% 202.58/202.68 ( class_Int_Oring__char__0(T_b)
% 202.58/202.68 => ( hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_w_2) = hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)
% 202.58/202.68 <=> V_w_2 = V_z_2 ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_SetInterval_Otransfer__int__nat__set__function__closures,axiom,
% 202.58/202.68 ! [V_y_2,V_x_2] :
% 202.58/202.68 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 202.58/202.68 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I3_J,axiom,
% 202.58/202.68 ! [V_B_2,V_A_2] :
% 202.58/202.68 ( c_Nat__Transfer_Onat__set(V_A_2)
% 202.58/202.68 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 202.58/202.68 => 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)) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I2_J,axiom,
% 202.58/202.68 ! [V_B_2,V_A_2] :
% 202.58/202.68 ( c_Nat__Transfer_Onat__set(V_A_2)
% 202.58/202.68 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 202.58/202.68 => 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)) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I6_J,axiom,
% 202.58/202.68 ! [V_x_2,V_A_2] :
% 202.58/202.68 ( c_Nat__Transfer_Onat__set(V_A_2)
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 202.58/202.68 => c_Nat__Transfer_Ois__nat(V_x_2) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_of__int__int__eq,axiom,
% 202.58/202.68 ! [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) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_transfer__int__nat__set__relations_I3_J,axiom,
% 202.58/202.68 ! [V_B_2,V_A_2] :
% 202.58/202.68 ( c_Nat__Transfer_Onat__set(V_A_2)
% 202.58/202.68 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 202.58/202.68 => ( V_A_2 = V_B_2
% 202.58/202.68 <=> 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) ) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I5_J,axiom,
% 202.58/202.68 c_Nat__Transfer_Ois__nat(c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I1_J,axiom,
% 202.58/202.68 ! [V_y,V_x] :
% 202.58/202.68 ( c_Nat__Transfer_Ois__nat(V_x)
% 202.58/202.68 => ( c_Nat__Transfer_Ois__nat(V_y)
% 202.58/202.68 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),V_y)) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I9_J,axiom,
% 202.58/202.68 ! [V_z] : c_Nat__Transfer_Ois__nat(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_z)) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I6_J,axiom,
% 202.58/202.68 c_Nat__Transfer_Ois__nat(c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I2_J,axiom,
% 202.58/202.68 ! [V_y,V_x] :
% 202.58/202.68 ( c_Nat__Transfer_Ois__nat(V_x)
% 202.58/202.68 => ( c_Nat__Transfer_Ois__nat(V_y)
% 202.58/202.68 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_x),V_y)) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I3_J,axiom,
% 202.58/202.68 ! [V_y,V_x] :
% 202.58/202.68 ( c_Nat__Transfer_Ois__nat(V_x)
% 202.58/202.68 => ( c_Nat__Transfer_Ois__nat(V_y)
% 202.58/202.68 => c_Nat__Transfer_Ois__nat(c_Nat__Transfer_Otsub(V_x,V_y)) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_transfer__int__nat__set__relations_I2_J,axiom,
% 202.58/202.68 ! [V_A_2,V_x_2] :
% 202.58/202.68 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 202.58/202.68 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 202.58/202.68 <=> 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))) ) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_of__int__eq__0__iff,axiom,
% 202.58/202.68 ! [V_z_2,T_b] :
% 202.58/202.68 ( class_Int_Oring__char__0(T_b)
% 202.58/202.68 => ( hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2) = c_Groups_Ozero__class_Ozero(T_b)
% 202.58/202.68 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_of__int__0__eq__iff,axiom,
% 202.58/202.68 ! [V_z_2,T_b] :
% 202.58/202.68 ( class_Int_Oring__char__0(T_b)
% 202.58/202.68 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)
% 202.58/202.68 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_of__int__0,axiom,
% 202.58/202.68 ! [T_a] :
% 202.58/202.68 ( class_Rings_Oring__1(T_a)
% 202.58/202.68 => 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) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I1_J,axiom,
% 202.58/202.68 c_Nat__Transfer_Onat__set(c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool))) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_of__int__le__iff,axiom,
% 202.58/202.68 ! [V_z_2,V_w_2,T_b] :
% 202.58/202.68 ( class_Rings_Olinordered__idom(T_b)
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_w_2)),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)))
% 202.58/202.68 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_of__int__less__iff,axiom,
% 202.58/202.68 ! [V_z_2,V_w_2,T_b] :
% 202.58/202.68 ( class_Rings_Olinordered__idom(T_b)
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_w_2)),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)))
% 202.58/202.68 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_of__int__add,axiom,
% 202.58/202.68 ! [V_z,V_w,T_a] :
% 202.58/202.68 ( class_Rings_Oring__1(T_a)
% 202.58/202.68 => 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)) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_of__int__mult,axiom,
% 202.58/202.68 ! [V_z,V_w,T_a] :
% 202.58/202.68 ( class_Rings_Oring__1(T_a)
% 202.58/202.68 => 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)) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_of__int__1,axiom,
% 202.58/202.68 ! [T_a] :
% 202.58/202.68 ( class_Rings_Oring__1(T_a)
% 202.58/202.68 => 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) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_of__int__diff,axiom,
% 202.58/202.68 ! [V_z,V_w,T_a] :
% 202.58/202.68 ( class_Rings_Oring__1(T_a)
% 202.58/202.68 => 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)) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_of__int__of__nat__eq,axiom,
% 202.58/202.68 ! [V_n,T_a] :
% 202.58/202.68 ( class_Rings_Oring__1(T_a)
% 202.58/202.68 => 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) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_of__int__minus,axiom,
% 202.58/202.68 ! [V_z,T_a] :
% 202.58/202.68 ( class_Rings_Oring__1(T_a)
% 202.58/202.68 => 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)) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_Ints__of__int,axiom,
% 202.58/202.68 ! [V_z_2,T_b] :
% 202.58/202.68 ( class_Rings_Oring__1(T_b)
% 202.58/202.68 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)),c_Int_Oring__1__class_OInts(T_b))) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_nat__set__def,axiom,
% 202.58/202.68 ! [V_S_2] :
% 202.58/202.68 ( c_Nat__Transfer_Onat__set(V_S_2)
% 202.58/202.68 <=> ! [B_x] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),V_S_2))
% 202.58/202.68 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_is__nat__def,axiom,
% 202.58/202.68 ! [V_x_2] :
% 202.58/202.68 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 202.58/202.68 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I5_J,axiom,
% 202.58/202.68 ! [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)) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_SetInterval_Otransfer__nat__int__set__function__closures,axiom,
% 202.58/202.68 ! [V_y_2,V_x_2] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 202.58/202.68 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_transfer__nat__int__set__return__embed,axiom,
% 202.58/202.68 ! [V_A_2] :
% 202.58/202.68 ( c_Nat__Transfer_Onat__set(V_A_2)
% 202.58/202.68 => 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 ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I4_J,axiom,
% 202.58/202.68 ! [V_B_2,V_A_2] :
% 202.58/202.68 ( c_Nat__Transfer_Onat__set(V_A_2)
% 202.58/202.68 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 202.58/202.68 => 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))) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_Nat__Transfer_Otransfer__nat__int__set__function__closures_I6_J,axiom,
% 202.58/202.68 ! [V_x_2,V_A_2] :
% 202.58/202.68 ( c_Nat__Transfer_Onat__set(V_A_2)
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 202.58/202.68 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_of__int__le__0__iff,axiom,
% 202.58/202.68 ! [V_z_2,T_b] :
% 202.58/202.68 ( class_Rings_Olinordered__idom(T_b)
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 202.58/202.68 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_of__int__0__le__iff,axiom,
% 202.58/202.68 ! [V_z_2,T_b] :
% 202.58/202.68 ( class_Rings_Olinordered__idom(T_b)
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)))
% 202.58/202.68 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_of__int__0__less__iff,axiom,
% 202.58/202.68 ! [V_z_2,T_b] :
% 202.58/202.68 ( class_Rings_Olinordered__idom(T_b)
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)))
% 202.58/202.68 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_of__int__less__0__iff,axiom,
% 202.58/202.68 ! [V_z_2,T_b] :
% 202.58/202.68 ( class_Rings_Olinordered__idom(T_b)
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 202.58/202.68 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_of__nat__nat,axiom,
% 202.58/202.68 ! [V_z,T_a] :
% 202.58/202.68 ( class_Rings_Oring__1(T_a)
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 202.58/202.68 => 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) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_incr__lemma,axiom,
% 202.58/202.68 ! [V_x,V_z,V_d] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d))
% 202.58/202.68 => 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)))) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_decr__lemma,axiom,
% 202.58/202.68 ! [V_z,V_x,V_d] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d))
% 202.58/202.68 => 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)) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_card__greaterThanLessThan__int,axiom,
% 202.58/202.68 ! [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)))) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_expand__Suc,axiom,
% 202.58/202.68 ! [V_v] :
% 202.58/202.68 ( 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)))
% 202.58/202.68 => 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))) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_card__atLeastAtMost__int,axiom,
% 202.58/202.68 ! [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))) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_divmod__int__rel__mod__eq,axiom,
% 202.58/202.68 ! [V_y,V_q_1,V_b_1,V_a_1] :
% 202.58/202.68 ( 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)
% 202.58/202.68 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 202.58/202.68 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_b_1)) ) )
% 202.58/202.68 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_y))
% 202.58/202.68 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 202.58/202.68 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 202.58/202.68 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a_1,V_b_1) = V_y ) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_zmult2__lemma__aux2,axiom,
% 202.58/202.68 ! [V_q,V_r,V_b,V_c] :
% 202.58/202.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 202.58/202.68 => 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))) ) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_of__int__number__of__eq,axiom,
% 202.58/202.68 ! [V_v,T_a] :
% 202.58/202.68 ( class_Int_Onumber__ring(T_a)
% 202.58/202.68 => 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) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_mod__mod__trivial,axiom,
% 202.58/202.68 ! [V_b,V_a,T_a] :
% 202.58/202.68 ( class_Divides_Osemiring__div(T_a)
% 202.58/202.68 => 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) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_abs__idempotent,axiom,
% 202.58/202.68 ! [V_a,T_a] :
% 202.58/202.68 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 202.58/202.68 => 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) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_number__of__reorient,axiom,
% 202.58/202.68 ! [V_x_2,V_w_2,T_b] :
% 202.58/202.68 ( class_Int_Onumber(T_b)
% 202.58/202.68 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = V_x_2
% 202.58/202.68 <=> V_x_2 = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_eq__number__of,axiom,
% 202.58/202.68 ! [V_y_2,V_x_2,T_b] :
% 202.58/202.68 ( ( class_Int_Onumber__ring(T_b)
% 202.58/202.68 & class_Int_Oring__char__0(T_b) )
% 202.58/202.68 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 202.58/202.68 <=> V_x_2 = V_y_2 ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_mod__0,axiom,
% 202.58/202.68 ! [V_a,T_a] :
% 202.58/202.68 ( class_Divides_Osemiring__div(T_a)
% 202.58/202.68 => c_Divides_Odiv__class_Omod(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_mod__by__0,axiom,
% 202.58/202.68 ! [V_a,T_a] :
% 202.58/202.68 ( class_Divides_Osemiring__div(T_a)
% 202.58/202.68 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_mod__self,axiom,
% 202.58/202.68 ! [V_a,T_a] :
% 202.58/202.68 ( class_Divides_Osemiring__div(T_a)
% 202.58/202.68 => c_Divides_Odiv__class_Omod(T_a,V_a,V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_abs__ge__self,axiom,
% 202.58/202.68 ! [V_a,T_a] :
% 202.58/202.68 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 202.58/202.68 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a))) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_abs__le__D1,axiom,
% 202.58/202.68 ! [V_b,V_a,T_a] :
% 202.58/202.68 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 202.58/202.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b))
% 202.58/202.68 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_abs__zero,axiom,
% 202.58/202.68 ! [T_a] :
% 202.58/202.68 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 202.58/202.68 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_abs__eq__0,axiom,
% 202.58/202.68 ! [V_a_2,T_b] :
% 202.58/202.68 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 202.58/202.68 => ( hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 202.58/202.68 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_mod__add__cong,axiom,
% 202.58/202.68 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 202.58/202.68 ( class_Divides_Osemiring__div(T_a)
% 202.58/202.68 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 202.58/202.68 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 202.58/202.68 => 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) ) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_zmod__simps_I1_J,axiom,
% 202.58/202.68 ! [V_b,V_c,V_a,T_a] :
% 202.58/202.68 ( class_Divides_Osemiring__div(T_a)
% 202.58/202.68 => 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) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_zmod__simps_I2_J,axiom,
% 202.58/202.68 ! [V_c,V_b,V_a,T_a] :
% 202.58/202.68 ( class_Divides_Osemiring__div(T_a)
% 202.58/202.68 => 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) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_mod__add__eq,axiom,
% 202.58/202.68 ! [V_c,V_b,V_a,T_a] :
% 202.58/202.68 ( class_Divides_Osemiring__div(T_a)
% 202.58/202.68 => 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) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_mod__add__left__eq,axiom,
% 202.58/202.68 ! [V_c,V_b,V_a,T_a] :
% 202.58/202.68 ( class_Divides_Osemiring__div(T_a)
% 202.58/202.68 => 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) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_mod__add__right__eq,axiom,
% 202.58/202.68 ! [V_c,V_b,V_a,T_a] :
% 202.58/202.68 ( class_Divides_Osemiring__div(T_a)
% 202.58/202.68 => 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) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_mod__add__self1,axiom,
% 202.58/202.68 ! [V_a,V_b,T_a] :
% 202.58/202.68 ( class_Divides_Osemiring__div(T_a)
% 202.58/202.68 => 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) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_mod__add__self2,axiom,
% 202.58/202.68 ! [V_b,V_a,T_a] :
% 202.58/202.68 ( class_Divides_Osemiring__div(T_a)
% 202.58/202.68 => 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) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_mod__mult__right__eq,axiom,
% 202.58/202.68 ! [V_c,V_b,V_a,T_a] :
% 202.58/202.68 ( class_Divides_Osemiring__div(T_a)
% 202.58/202.68 => 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) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_mod__mult__left__eq,axiom,
% 202.58/202.68 ! [V_c,V_b,V_a,T_a] :
% 202.58/202.68 ( class_Divides_Osemiring__div(T_a)
% 202.58/202.68 => 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) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_mod__mult__eq,axiom,
% 202.58/202.68 ! [V_c,V_b,V_a,T_a] :
% 202.58/202.68 ( class_Divides_Osemiring__div(T_a)
% 202.58/202.68 => 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) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_mod__mult__mult1,axiom,
% 202.58/202.68 ! [V_b,V_a,V_c,T_a] :
% 202.58/202.68 ( class_Divides_Osemiring__div(T_a)
% 202.58/202.68 => 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)) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_mod__mult__mult2,axiom,
% 202.58/202.68 ! [V_b,V_c,V_a,T_a] :
% 202.58/202.68 ( class_Divides_Osemiring__div(T_a)
% 202.58/202.68 => 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) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_zmod__simps_I4_J,axiom,
% 202.58/202.68 ! [V_b,V_c,V_a,T_a] :
% 202.58/202.68 ( class_Divides_Osemiring__div(T_a)
% 202.58/202.68 => 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) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_mod__mult__cong,axiom,
% 202.58/202.68 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 202.58/202.68 ( class_Divides_Osemiring__div(T_a)
% 202.58/202.68 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 202.58/202.68 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 202.58/202.68 => 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) ) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_abs__add__abs,axiom,
% 202.58/202.68 ! [V_b,V_a,T_a] :
% 202.58/202.68 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 202.58/202.68 => 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)) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_abs__mult__self,axiom,
% 202.58/202.68 ! [V_a,T_a] :
% 202.58/202.68 ( class_Rings_Olinordered__idom(T_a)
% 202.58/202.68 => 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) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_abs__mult,axiom,
% 202.58/202.68 ! [V_b,V_a,T_a] :
% 202.58/202.68 ( class_Rings_Olinordered__idom(T_a)
% 202.58/202.68 => 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)) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_mod__diff__cong,axiom,
% 202.58/202.68 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 202.58/202.68 ( class_Divides_Oring__div(T_a)
% 202.58/202.68 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 202.58/202.68 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 202.58/202.68 => 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) ) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_mod__diff__eq,axiom,
% 202.58/202.68 ! [V_c,V_b,V_a,T_a] :
% 202.58/202.68 ( class_Divides_Oring__div(T_a)
% 202.58/202.68 => 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) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_mod__diff__left__eq,axiom,
% 202.58/202.68 ! [V_c,V_b,V_a,T_a] :
% 202.58/202.68 ( class_Divides_Oring__div(T_a)
% 202.58/202.68 => 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) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_mod__diff__right__eq,axiom,
% 202.58/202.68 ! [V_c,V_b,V_a,T_a] :
% 202.58/202.68 ( class_Divides_Oring__div(T_a)
% 202.58/202.68 => 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) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_abs__minus__commute,axiom,
% 202.58/202.68 ! [V_b,V_a,T_a] :
% 202.58/202.68 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 202.58/202.68 => 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)) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_abs__one,axiom,
% 202.58/202.68 ! [T_a] :
% 202.58/202.68 ( class_Rings_Olinordered__idom(T_a)
% 202.58/202.68 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Oone__class_Oone(T_a)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_mod__minus__cong,axiom,
% 202.58/202.68 ! [V_a_H,V_b,V_a,T_a] :
% 202.58/202.68 ( class_Divides_Oring__div(T_a)
% 202.58/202.68 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_b) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_b)
% 202.58/202.68 => 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) ) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_mod__minus__eq,axiom,
% 202.58/202.68 ! [V_b,V_a,T_a] :
% 202.58/202.68 ( class_Divides_Oring__div(T_a)
% 202.58/202.68 => 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) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_abs__minus__cancel,axiom,
% 202.58/202.68 ! [V_a,T_a] :
% 202.58/202.68 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 202.58/202.68 => 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) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_abs__of__nat,axiom,
% 202.58/202.68 ! [V_n,T_a] :
% 202.58/202.68 ( class_Rings_Olinordered__idom(T_a)
% 202.58/202.68 => 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) ) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_zmod__zero,axiom,
% 202.58/202.68 ! [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) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_zmod__self,axiom,
% 202.58/202.68 ! [V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_a) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_abs__int__eq,axiom,
% 202.58/202.68 ! [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) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_zmod__zmult1__eq,axiom,
% 202.58/202.68 ! [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) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_zmod__simps_I3_J,axiom,
% 202.58/202.68 ! [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) ).
% 202.58/202.68
% 202.58/202.68 fof(fact_zdiff__zmod__left,axiom,
% 202.58/202.69 ! [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) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_zdiff__zmod__right,axiom,
% 202.58/202.69 ! [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) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_zminus__zmod,axiom,
% 202.58/202.69 ! [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) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_zmod__zminus__zminus,axiom,
% 202.58/202.69 ! [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)) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_zmod__zminus2,axiom,
% 202.58/202.69 ! [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)) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_of__nat__number__of__lemma,axiom,
% 202.58/202.69 ! [V_v,T_a] :
% 202.58/202.69 ( class_Int_Onumber__ring(T_a)
% 202.58/202.69 => ( ( 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)))
% 202.58/202.69 => 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) )
% 202.58/202.69 & ( ~ 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)))
% 202.58/202.69 => 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) ) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_number__of__eq,axiom,
% 202.58/202.69 ! [V_k,T_a] :
% 202.58/202.69 ( class_Int_Onumber__ring(T_a)
% 202.58/202.69 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_k) = hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_Divides_Otransfer__int__nat__function__closures_I2_J,axiom,
% 202.58/202.69 ! [V_y,V_x] :
% 202.58/202.69 ( c_Nat__Transfer_Ois__nat(V_x)
% 202.58/202.69 => ( c_Nat__Transfer_Ois__nat(V_y)
% 202.58/202.69 => c_Nat__Transfer_Ois__nat(c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_y)) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_abs__number__of,axiom,
% 202.58/202.69 ! [V_x,T_a] :
% 202.58/202.69 ( ( class_Int_Onumber__ring(T_a)
% 202.58/202.69 & class_Rings_Olinordered__idom(T_a) )
% 202.58/202.69 => ( ( 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)))
% 202.58/202.69 => 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)) )
% 202.58/202.69 & ( ~ 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)))
% 202.58/202.69 => 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) ) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_abs__of__nonneg,axiom,
% 202.58/202.69 ! [V_a,T_a] :
% 202.58/202.69 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 202.58/202.69 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_abs__le__zero__iff,axiom,
% 202.58/202.69 ! [V_a_2,T_b] :
% 202.58/202.69 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 202.58/202.69 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_abs__ge__zero,axiom,
% 202.58/202.69 ! [V_a,T_a] :
% 202.58/202.69 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 202.58/202.69 => 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))) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_abs__not__less__zero,axiom,
% 202.58/202.69 ! [V_a,T_a] :
% 202.58/202.69 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 202.58/202.69 => ~ 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))) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_zero__less__abs__iff,axiom,
% 202.58/202.69 ! [V_a_2,T_b] :
% 202.58/202.69 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2)))
% 202.58/202.69 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_abs__of__pos,axiom,
% 202.58/202.69 ! [V_a,T_a] :
% 202.58/202.69 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 202.58/202.69 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_mod__mult__self2__is__0,axiom,
% 202.58/202.69 ! [V_b,V_a,T_a] :
% 202.58/202.69 ( class_Divides_Osemiring__div(T_a)
% 202.58/202.69 => 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) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_mod__mult__self1__is__0,axiom,
% 202.58/202.69 ! [V_a,V_b,T_a] :
% 202.58/202.69 ( class_Divides_Osemiring__div(T_a)
% 202.58/202.69 => 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) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_abs__triangle__ineq,axiom,
% 202.58/202.69 ! [V_b,V_a,T_a] :
% 202.58/202.69 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 202.58/202.69 => 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)))) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_abs__mult__less,axiom,
% 202.58/202.69 ! [V_d,V_b,V_c,V_a,T_a] :
% 202.58/202.69 ( class_Rings_Olinordered__idom(T_a)
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_c))
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)),V_d))
% 202.58/202.69 => 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))) ) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_abs__triangle__ineq2__sym,axiom,
% 202.58/202.69 ! [V_b,V_a,T_a] :
% 202.58/202.69 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 202.58/202.69 => 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)))) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_abs__triangle__ineq2,axiom,
% 202.58/202.69 ! [V_b,V_a,T_a] :
% 202.58/202.69 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 202.58/202.69 => 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)))) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_abs__triangle__ineq3,axiom,
% 202.58/202.69 ! [V_b,V_a,T_a] :
% 202.58/202.69 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 202.58/202.69 => 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)))) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_mod__mult__self1,axiom,
% 202.58/202.69 ! [V_b,V_c,V_a,T_a] :
% 202.58/202.69 ( class_Divides_Osemiring__div(T_a)
% 202.58/202.69 => 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) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_mod__mult__self2,axiom,
% 202.58/202.69 ! [V_c,V_b,V_a,T_a] :
% 202.58/202.69 ( class_Divides_Osemiring__div(T_a)
% 202.58/202.69 => 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) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_mod__by__1,axiom,
% 202.58/202.69 ! [V_a,T_a] :
% 202.58/202.69 ( class_Divides_Osemiring__div(T_a)
% 202.58/202.69 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Oone__class_Oone(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_abs__ge__minus__self,axiom,
% 202.58/202.69 ! [V_a,T_a] :
% 202.58/202.69 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 202.58/202.69 => 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))) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_abs__le__iff,axiom,
% 202.58/202.69 ! [V_b_2,V_a_2,T_b] :
% 202.58/202.69 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2)),V_b_2))
% 202.58/202.69 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 202.58/202.69 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2)) ) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_abs__leI,axiom,
% 202.58/202.69 ! [V_b,V_a,T_a] :
% 202.58/202.69 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b))
% 202.58/202.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b)) ) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_abs__le__D2,axiom,
% 202.58/202.69 ! [V_b,V_a,T_a] :
% 202.58/202.69 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b))
% 202.58/202.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b)) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_abs__less__iff,axiom,
% 202.58/202.69 ! [V_b_2,V_a_2,T_b] :
% 202.58/202.69 ( class_Rings_Olinordered__idom(T_b)
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2)),V_b_2))
% 202.58/202.69 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 202.58/202.69 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2)) ) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_card_Oempty,axiom,
% 202.58/202.69 ! [T_b] : hAPP(c_Finite__Set_Ocard(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_le__number__of__eq__not__less,axiom,
% 202.58/202.69 ! [V_w_2,V_v_2,T_b] :
% 202.58/202.69 ( ( class_Int_Onumber(T_b)
% 202.58/202.69 & class_Orderings_Olinorder(T_b) )
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 202.58/202.69 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2))) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_left__distrib__number__of,axiom,
% 202.58/202.69 ! [V_v,V_b,V_a,T_b] :
% 202.58/202.69 ( ( class_Int_Onumber(T_b)
% 202.58/202.69 & class_Rings_Osemiring(T_b) )
% 202.58/202.69 => 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))) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_right__distrib__number__of,axiom,
% 202.58/202.69 ! [V_c,V_b,V_v,T_b] :
% 202.58/202.69 ( ( class_Int_Onumber(T_b)
% 202.58/202.69 & class_Rings_Osemiring(T_b) )
% 202.58/202.69 => 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)) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_left__diff__distrib__number__of,axiom,
% 202.58/202.69 ! [V_v,V_b,V_a,T_b] :
% 202.58/202.69 ( ( class_Int_Onumber(T_b)
% 202.58/202.69 & class_Rings_Oring(T_b) )
% 202.58/202.69 => 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))) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_right__diff__distrib__number__of,axiom,
% 202.58/202.69 ! [V_c,V_b,V_v,T_b] :
% 202.58/202.69 ( ( class_Int_Onumber(T_b)
% 202.58/202.69 & class_Rings_Oring(T_b) )
% 202.58/202.69 => 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)) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_le__number__of,axiom,
% 202.58/202.69 ! [V_y_2,V_x_2,T_b] :
% 202.58/202.69 ( ( class_Int_Onumber__ring(T_b)
% 202.58/202.69 & class_Rings_Olinordered__idom(T_b) )
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)))
% 202.58/202.69 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_less__number__of,axiom,
% 202.58/202.69 ! [V_y_2,V_x_2,T_b] :
% 202.58/202.69 ( ( class_Int_Onumber__ring(T_b)
% 202.58/202.69 & class_Rings_Olinordered__idom(T_b) )
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)))
% 202.58/202.69 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_card__image,axiom,
% 202.58/202.69 ! [V_A_2,V_f_2,T_c,T_b] :
% 202.58/202.69 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 202.58/202.69 => hAPP(c_Finite__Set_Ocard(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_number__of__add,axiom,
% 202.58/202.69 ! [V_w,V_v,T_a] :
% 202.58/202.69 ( class_Int_Onumber__ring(T_a)
% 202.58/202.69 => 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)) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_add__number__of__eq,axiom,
% 202.58/202.69 ! [V_w,V_v,T_a] :
% 202.58/202.69 ( class_Int_Onumber__ring(T_a)
% 202.58/202.69 => 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)) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_add__number__of__left,axiom,
% 202.58/202.69 ! [V_z,V_w,V_v,T_a] :
% 202.58/202.69 ( class_Int_Onumber__ring(T_a)
% 202.58/202.69 => 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) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_Divides_Otransfer__nat__int__function__closures_I2_J,axiom,
% 202.58/202.69 ! [V_y,V_x] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 202.58/202.69 => 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))) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_zmod__le__nonneg__dividend,axiom,
% 202.58/202.69 ! [V_k,V_m] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m))
% 202.58/202.69 => 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)) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_neg__mod__bound,axiom,
% 202.58/202.69 ! [V_a,V_b] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 202.58/202.69 => 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))) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_pos__mod__bound,axiom,
% 202.58/202.69 ! [V_a,V_b] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 202.58/202.69 => 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)) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_mult__number__of__left,axiom,
% 202.58/202.69 ! [V_z,V_w,V_v,T_a] :
% 202.58/202.69 ( class_Int_Onumber__ring(T_a)
% 202.58/202.69 => 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) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_arith__simps_I32_J,axiom,
% 202.58/202.69 ! [V_w,V_v,T_a] :
% 202.58/202.69 ( class_Int_Onumber__ring(T_a)
% 202.58/202.69 => 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)) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_number__of__mult,axiom,
% 202.58/202.69 ! [V_w,V_v,T_a] :
% 202.58/202.69 ( class_Int_Onumber__ring(T_a)
% 202.58/202.69 => 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)) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_abs__zmult__eq__1,axiom,
% 202.58/202.69 ! [V_n,V_m] :
% 202.58/202.69 ( 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)
% 202.58/202.69 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_m) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_zmod__eq__0__iff,axiom,
% 202.58/202.69 ! [V_d_2,V_m_2] :
% 202.58/202.69 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 202.58/202.69 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_d_2),B_q) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_number__of__diff,axiom,
% 202.58/202.69 ! [V_w,V_v,T_a] :
% 202.58/202.69 ( class_Int_Onumber__ring(T_a)
% 202.58/202.69 => 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)) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_zmod__zminus2__not__zero,axiom,
% 202.58/202.69 ! [V_l,V_k] :
% 202.58/202.69 ( 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)
% 202.58/202.69 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_zmod__zminus1__not__zero,axiom,
% 202.58/202.69 ! [V_l,V_k] :
% 202.58/202.69 ( 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)
% 202.58/202.69 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_arith__simps_I30_J,axiom,
% 202.58/202.69 ! [V_w,T_a] :
% 202.58/202.69 ( class_Int_Onumber__ring(T_a)
% 202.58/202.69 => 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)) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_number__of__minus,axiom,
% 202.58/202.69 ! [V_w,T_a] :
% 202.58/202.69 ( class_Int_Onumber__ring(T_a)
% 202.58/202.69 => 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)) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_abs__sgn,axiom,
% 202.58/202.69 ! [V_k,T_a] :
% 202.58/202.69 ( class_Rings_Olinordered__idom(T_a)
% 202.58/202.69 => 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)) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_mult__sgn__abs,axiom,
% 202.58/202.69 ! [V_x,T_a] :
% 202.58/202.69 ( class_Rings_Olinordered__idom(T_a)
% 202.58/202.69 => 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 ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_Ints__number__of,axiom,
% 202.58/202.69 ! [V_w_2,T_b] :
% 202.58/202.69 ( class_Int_Onumber__ring(T_b)
% 202.58/202.69 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Int_Oring__1__class_OInts(T_b))) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_abs__mult__pos,axiom,
% 202.58/202.69 ! [V_y,V_x,T_a] :
% 202.58/202.69 ( class_Rings_Olinordered__idom(T_a)
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 202.58/202.69 => 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)) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_abs__eq__mult,axiom,
% 202.58/202.69 ! [V_b,V_a,T_a] :
% 202.58/202.69 ( class_Rings_Oordered__ring__abs(T_a)
% 202.58/202.69 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 202.58/202.69 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) )
% 202.58/202.69 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 202.58/202.69 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) )
% 202.58/202.69 => 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)) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_abs__diff__triangle__ineq,axiom,
% 202.58/202.69 ! [V_d,V_c,V_b,V_a,T_a] :
% 202.58/202.69 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 202.58/202.69 => 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))))) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_abs__triangle__ineq4,axiom,
% 202.58/202.69 ! [V_b,V_a,T_a] :
% 202.58/202.69 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 202.58/202.69 => 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)))) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_abs__minus__le__zero,axiom,
% 202.58/202.69 ! [V_a,T_a] :
% 202.58/202.69 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 202.58/202.69 => 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))) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_abs__of__nonpos,axiom,
% 202.58/202.69 ! [V_a,T_a] :
% 202.58/202.69 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 202.58/202.69 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_abs__if,axiom,
% 202.58/202.69 ! [V_a,T_a] :
% 202.58/202.69 ( class_Groups_Oabs__if(T_a)
% 202.58/202.69 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 202.58/202.69 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) )
% 202.58/202.69 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 202.58/202.69 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_abs__of__neg,axiom,
% 202.58/202.69 ! [V_a,T_a] :
% 202.58/202.69 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 202.58/202.69 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_pigeonhole,axiom,
% 202.58/202.69 ! [V_A_2,V_f_2,T_c,T_b] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))),hAPP(c_Finite__Set_Ocard(T_c),V_A_2)))
% 202.58/202.69 => ~ c_Fun_Oinj__on(T_c,T_b,V_f_2,V_A_2) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_zabs__less__one__iff,axiom,
% 202.58/202.69 ! [V_z_2] :
% 202.58/202.69 ( 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)))
% 202.58/202.69 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_add__number__of__diff1,axiom,
% 202.58/202.69 ! [V_c,V_w,V_v,T_a] :
% 202.58/202.69 ( class_Int_Onumber__ring(T_a)
% 202.58/202.69 => 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) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_zabs__def,axiom,
% 202.58/202.69 ! [V_i] :
% 202.58/202.69 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 202.58/202.69 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_i) )
% 202.58/202.69 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 202.58/202.69 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = V_i ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_pos__mod__sign,axiom,
% 202.58/202.69 ! [V_a,V_b] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 202.58/202.69 => 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))) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_pos__mod__conj,axiom,
% 202.58/202.69 ! [V_a,V_b] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 202.58/202.69 => ( 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)))
% 202.58/202.69 & 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)) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_mod__pos__pos__trivial,axiom,
% 202.58/202.69 ! [V_b,V_a] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 202.58/202.69 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_neg__mod__sign,axiom,
% 202.58/202.69 ! [V_a,V_b] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 202.58/202.69 => 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))) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_neg__mod__conj,axiom,
% 202.58/202.69 ! [V_a,V_b] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 202.58/202.69 => ( 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)))
% 202.58/202.69 & 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))) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_mod__neg__neg__trivial,axiom,
% 202.58/202.69 ! [V_b,V_a] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a))
% 202.58/202.69 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_minus__number__of__mult,axiom,
% 202.58/202.69 ! [V_z,V_w,T_a] :
% 202.58/202.69 ( class_Int_Onumber__ring(T_a)
% 202.58/202.69 => 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) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_nat__abs__mult__distrib,axiom,
% 202.58/202.69 ! [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))) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_diff__number__of__eq,axiom,
% 202.58/202.69 ! [V_w,V_v,T_a] :
% 202.58/202.69 ( class_Int_Onumber__ring(T_a)
% 202.58/202.69 => 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))) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_zmod__zminus1__eq__if,axiom,
% 202.58/202.69 ! [V_b,V_a] :
% 202.58/202.69 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 202.58/202.69 => 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) )
% 202.58/202.69 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 202.58/202.69 => 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)) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_zmod__zminus2__eq__if,axiom,
% 202.58/202.69 ! [V_b,V_a] :
% 202.58/202.69 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 202.58/202.69 => 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) )
% 202.58/202.69 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 202.58/202.69 => 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) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_card__atLeastZeroLessThan__int,axiom,
% 202.58/202.69 ! [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) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_card__atLeastLessThan__int,axiom,
% 202.58/202.69 ! [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)) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_card__greaterThanAtMost__int,axiom,
% 202.58/202.69 ! [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)) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_mod__pos__neg__trivial,axiom,
% 202.58/202.69 ! [V_b,V_a] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 202.58/202.69 => ( 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)))
% 202.58/202.69 => 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) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_add__number__of__diff2,axiom,
% 202.58/202.69 ! [V_w,V_c,V_v,T_a] :
% 202.58/202.69 ( class_Int_Onumber__ring(T_a)
% 202.58/202.69 => 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) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_split__zmod,axiom,
% 202.58/202.69 ! [V_k_2,V_n_2,V_P_2] :
% 202.58/202.69 ( hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Omod(tc_Int_Oint,V_n_2,V_k_2)))
% 202.58/202.69 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 202.58/202.69 => hBOOL(hAPP(V_P_2,V_n_2)) )
% 202.58/202.69 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 202.58/202.69 => ! [B_i,B_j] :
% 202.58/202.69 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 202.58/202.69 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 202.58/202.69 & 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) )
% 202.58/202.69 => hBOOL(hAPP(V_P_2,B_j)) ) )
% 202.58/202.69 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 202.58/202.69 => ! [B_i,B_j] :
% 202.58/202.69 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 202.58/202.69 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 202.58/202.69 & 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) )
% 202.58/202.69 => hBOOL(hAPP(V_P_2,B_j)) ) ) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_zmult2__lemma__aux3,axiom,
% 202.58/202.69 ! [V_q,V_b,V_r,V_c] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 202.58/202.69 => 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))) ) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_zmult2__lemma__aux4,axiom,
% 202.58/202.69 ! [V_q,V_b,V_r,V_c] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 202.58/202.69 => 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))) ) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_zmult2__lemma__aux1,axiom,
% 202.58/202.69 ! [V_q,V_r,V_b,V_c] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 202.58/202.69 => 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))) ) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_z3mod__def,axiom,
% 202.58/202.69 ! [V_k,V_l] :
% 202.58/202.69 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 202.58/202.69 => c_SMT_Oz3mod(V_k,V_l) = c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) )
% 202.58/202.69 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 202.58/202.69 => 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)) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_card__Diff__singleton__if,axiom,
% 202.58/202.69 ! [V_x_2,V_A_2,T_b] :
% 202.58/202.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.69 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.58/202.69 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) )
% 202.58/202.69 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.58/202.69 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_card__Diff__singleton,axiom,
% 202.58/202.69 ! [V_x_2,V_A_2,T_b] :
% 202.58/202.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.58/202.69 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_card_Oremove,axiom,
% 202.58/202.69 ! [V_x_2,V_A_2,T_b] :
% 202.58/202.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.58/202.69 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_card__Suc__eq,axiom,
% 202.58/202.69 ! [V_k_2,V_A_2,T_b] :
% 202.58/202.69 ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Nat_OSuc,V_k_2)
% 202.58/202.69 <=> ? [B_b,B_B] :
% 202.58/202.69 ( V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_b),B_b),B_B)
% 202.58/202.69 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_b),B_B))
% 202.58/202.69 & hAPP(c_Finite__Set_Ocard(T_b),B_B) = V_k_2
% 202.58/202.69 & ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.58/202.69 => B_B = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_Nitpick_Oint__lcm__def,axiom,
% 202.58/202.69 ! [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)))) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_finite__atLeastLessThan,axiom,
% 202.58/202.69 ! [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))) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_finite__atLeastAtMost__int,axiom,
% 202.58/202.69 ! [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))) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_finite__atLeastAtMost,axiom,
% 202.58/202.69 ! [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))) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_finite__lessThan,axiom,
% 202.58/202.69 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_k_2))) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_finite__atMost,axiom,
% 202.58/202.69 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_k_2))) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_finite__atLeastLessThan__int,axiom,
% 202.58/202.69 ! [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))) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_finite__greaterThanAtMost,axiom,
% 202.58/202.69 ! [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))) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_finite__greaterThanLessThan__int,axiom,
% 202.58/202.69 ! [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))) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_finite__greaterThanAtMost__int,axiom,
% 202.58/202.69 ! [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))) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_finite__greaterThanLessThan,axiom,
% 202.58/202.69 ! [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))) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_finite_OemptyI,axiom,
% 202.58/202.69 ! [T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_finite_OinsertI,axiom,
% 202.58/202.69 ! [V_a_2,V_A_2,T_b] :
% 202.58/202.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.69 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2))) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_finite__imageI,axiom,
% 202.58/202.69 ! [V_h_2,T_c,V_F_2,T_b] :
% 202.58/202.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 202.58/202.69 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_h_2),V_F_2))) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_finite__Int,axiom,
% 202.58/202.69 ! [V_Ga_2,V_F_2,T_b] :
% 202.58/202.69 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 202.58/202.69 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Ga_2)) )
% 202.58/202.69 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_Ga_2))) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_finite__Diff,axiom,
% 202.58/202.69 ! [V_B_2,V_A_2,T_b] :
% 202.58/202.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.69 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_finite__Inter,axiom,
% 202.58/202.69 ! [V_M_2,T_b] :
% 202.58/202.69 ( ? [B_x] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_M_2))
% 202.58/202.69 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_x)) )
% 202.58/202.69 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_M_2))) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_number__of__is__id,axiom,
% 202.58/202.69 ! [V_k] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_k) = V_k ).
% 202.58/202.69
% 202.58/202.69 fof(fact_finite__UnionD,axiom,
% 202.58/202.69 ! [V_A_2,T_b] :
% 202.58/202.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)))
% 202.58/202.69 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_finite__code,axiom,
% 202.58/202.69 ! [V_A_2,T_b] :
% 202.58/202.69 ( class_Finite__Set_Ofinite(T_b)
% 202.58/202.69 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_finite,axiom,
% 202.58/202.69 ! [V_A_2,T_b] :
% 202.58/202.69 ( class_Finite__Set_Ofinite(T_b)
% 202.58/202.69 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_finite__UN,axiom,
% 202.58/202.69 ! [V_B_2,T_c,V_A_2,T_b] :
% 202.58/202.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)))
% 202.58/202.69 <=> ! [B_x] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 202.58/202.69 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_finite__Pow__iff,axiom,
% 202.58/202.69 ! [V_A_2,T_b] :
% 202.58/202.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)))
% 202.58/202.69 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_finite__Prod__UNIV,axiom,
% 202.58/202.69 ! [T_c,T_b] :
% 202.58/202.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 202.58/202.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))
% 202.58/202.69 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)))) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_finite__Plus__UNIV__iff,axiom,
% 202.58/202.69 ! [T_c,T_b] :
% 202.58/202.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_b,T_c)),c_Orderings_Otop__class_Otop(tc_fun(tc_sum(T_b,T_c),tc_HOL_Obool))))
% 202.58/202.69 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 202.58/202.69 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_finite__option__UNIV,axiom,
% 202.58/202.69 ! [T_b] :
% 202.58/202.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(T_b)),c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(T_b),tc_HOL_Obool))))
% 202.58/202.69 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_mod__Suc__eq__Suc__mod,axiom,
% 202.58/202.69 ! [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) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_mod__less,axiom,
% 202.58/202.69 ! [V_n,V_m] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 202.58/202.69 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_mod__less__eq__dividend,axiom,
% 202.58/202.69 ! [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)) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_mod__mult__distrib,axiom,
% 202.58/202.69 ! [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)) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_mod__mult__distrib2,axiom,
% 202.58/202.69 ! [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)) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_card__UNIV__unit,axiom,
% 202.58/202.69 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) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_less__eq__number__of__int__code,axiom,
% 202.58/202.69 ! [V_l_2,V_k_2] :
% 202.58/202.69 ( 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)))
% 202.58/202.69 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_less__number__of__int__code,axiom,
% 202.58/202.69 ! [V_l_2,V_k_2] :
% 202.58/202.69 ( 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)))
% 202.58/202.69 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_plus__numeral__code_I9_J,axiom,
% 202.58/202.69 ! [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)) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_transfer__nat__int__set__relations_I1_J,axiom,
% 202.58/202.69 ! [V_A_2] :
% 202.58/202.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_A_2))
% 202.58/202.69 <=> 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))) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_times__numeral__code_I5_J,axiom,
% 202.58/202.69 ! [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)) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_minus__numeral__code_I5_J,axiom,
% 202.58/202.69 ! [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)) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_finite_Oequations_I1_J,axiom,
% 202.58/202.69 ! [T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_finite__insert,axiom,
% 202.58/202.69 ! [V_A_2,V_a_2,T_b] :
% 202.58/202.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)))
% 202.58/202.69 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_finite__fun__UNIVD2,axiom,
% 202.58/202.69 ! [T_c,T_b] :
% 202.58/202.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,T_c)),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,T_c),tc_HOL_Obool))))
% 202.58/202.69 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_finite__nat__set__iff__bounded,axiom,
% 202.58/202.69 ! [V_N_2] :
% 202.58/202.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2))
% 202.58/202.69 <=> ? [B_m] :
% 202.58/202.69 ! [B_x] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 202.58/202.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_x),B_m)) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_finite__subset,axiom,
% 202.58/202.69 ! [V_B_2,V_A_2,T_b] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 202.58/202.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 202.58/202.69 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_rev__finite__subset,axiom,
% 202.58/202.69 ! [V_A_2,V_B_2,T_b] :
% 202.58/202.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 202.58/202.69 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_finite__UNIV,axiom,
% 202.58/202.69 ! [T_b] :
% 202.58/202.69 ( class_Finite__Set_Ofinite(T_b)
% 202.58/202.69 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_finite__Un,axiom,
% 202.58/202.69 ! [V_Ga_2,V_F_2,T_b] :
% 202.58/202.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_Ga_2)))
% 202.58/202.69 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 202.58/202.69 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Ga_2)) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_finite__UnI,axiom,
% 202.58/202.69 ! [V_Ga_2,V_F_2,T_b] :
% 202.58/202.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 202.58/202.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Ga_2))
% 202.58/202.69 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_Ga_2))) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_finite__nat__set__iff__bounded__le,axiom,
% 202.58/202.69 ! [V_N_2] :
% 202.58/202.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2))
% 202.58/202.69 <=> ? [B_m] :
% 202.58/202.69 ! [B_x] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 202.58/202.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_x),B_m)) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_finite__Diff2,axiom,
% 202.58/202.69 ! [V_A_2,V_B_2,T_b] :
% 202.58/202.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 202.58/202.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 202.58/202.69 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_card__lessThan,axiom,
% 202.58/202.69 ! [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 ).
% 202.58/202.69
% 202.58/202.69 fof(fact_infinite__UNIV__nat,axiom,
% 202.58/202.69 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_fold__graph__imp__finite,axiom,
% 202.58/202.69 ! [V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 202.58/202.69 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_x_2))
% 202.58/202.69 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_transfer__int__nat__set__relations_I1_J,axiom,
% 202.58/202.69 ! [V_A_2] :
% 202.58/202.69 ( c_Nat__Transfer_Onat__set(V_A_2)
% 202.58/202.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),V_A_2))
% 202.58/202.69 <=> 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))) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_int__number__of__def,axiom,
% 202.58/202.69 ! [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) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_mod__Suc,axiom,
% 202.58/202.69 ! [V_n,V_m] :
% 202.58/202.69 ( ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) = V_n
% 202.58/202.69 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 202.58/202.69 & ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) != V_n
% 202.58/202.69 => 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)) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_mod__1,axiom,
% 202.58/202.69 ! [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) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_mod__less__divisor,axiom,
% 202.58/202.69 ! [V_m,V_n] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 202.58/202.69 => 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)) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_mod__eq__0__iff,axiom,
% 202.58/202.69 ! [V_d_2,V_m_2] :
% 202.58/202.69 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.58/202.69 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_d_2),B_q) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_mod__geq,axiom,
% 202.58/202.69 ! [V_n,V_m] :
% 202.58/202.69 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 202.58/202.69 => 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) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_mod__if,axiom,
% 202.58/202.69 ! [V_n,V_m] :
% 202.58/202.69 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 202.58/202.69 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m )
% 202.58/202.69 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 202.58/202.69 => 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) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_mod__mult__self3,axiom,
% 202.58/202.69 ! [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) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_le__mod__geq,axiom,
% 202.58/202.69 ! [V_m,V_n] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 202.58/202.69 => 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) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_Divides_Otransfer__int__nat__functions_I2_J,axiom,
% 202.58/202.69 ! [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)) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_zmod__int,axiom,
% 202.58/202.69 ! [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)) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_card__atLeastLessThan,axiom,
% 202.58/202.69 ! [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) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_nat__number__of__def,axiom,
% 202.58/202.69 ! [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)) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_nat__number__of,axiom,
% 202.58/202.69 ! [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) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_finite__surj,axiom,
% 202.58/202.69 ! [V_f_2,V_B_2,T_c,V_A_2,T_b] :
% 202.58/202.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 202.58/202.69 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_card__atMost,axiom,
% 202.58/202.69 ! [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) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_finite__Diff__insert,axiom,
% 202.58/202.69 ! [V_B_2,V_a_2,V_A_2,T_b] :
% 202.58/202.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2))))
% 202.58/202.69 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_card__infinite,axiom,
% 202.58/202.69 ! [V_A_2,T_b] :
% 202.58/202.69 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.69 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_finite__imageD,axiom,
% 202.58/202.69 ! [V_A_2,V_f_2,T_c,T_b] :
% 202.58/202.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 202.58/202.69 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,V_A_2)
% 202.58/202.69 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_card__eq__UNIV__imp__eq__UNIV,axiom,
% 202.58/202.69 ! [V_A_2,T_b] :
% 202.58/202.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 202.58/202.69 => ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 202.58/202.69 => V_A_2 = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_finite__compl,axiom,
% 202.58/202.69 ! [V_A_2,T_b] :
% 202.58/202.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)))
% 202.58/202.69 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_card__greaterThanAtMost,axiom,
% 202.58/202.69 ! [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) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_finite__atLeastZeroLessThan__int,axiom,
% 202.58/202.69 ! [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))) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_finite__fun__UNIVD1,axiom,
% 202.58/202.69 ! [T_c,T_b] :
% 202.58/202.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,T_c)),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,T_c),tc_HOL_Obool))))
% 202.58/202.69 => ( hAPP(c_Finite__Set_Ocard(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) != hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 202.58/202.69 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_mod__le__divisor,axiom,
% 202.58/202.69 ! [V_m,V_n] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 202.58/202.69 => 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)) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_mod__mult__self4,axiom,
% 202.58/202.69 ! [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) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_card__atLeastAtMost,axiom,
% 202.58/202.69 ! [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) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_minus__numeral__code_I6_J,axiom,
% 202.58/202.69 ! [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))) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_card__eq__0__iff,axiom,
% 202.58/202.69 ! [V_A_2,T_b] :
% 202.58/202.69 ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.58/202.69 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.69 | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_card__ge__0__finite,axiom,
% 202.58/202.69 ! [V_A_2,T_b] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)))
% 202.58/202.69 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_endo__inj__surj,axiom,
% 202.58/202.69 ! [V_f_2,V_A_2,T_b] :
% 202.58/202.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_b,V_f_2),V_A_2)),V_A_2))
% 202.58/202.69 => ( c_Fun_Oinj__on(T_b,T_b,V_f_2,V_A_2)
% 202.58/202.69 => hAPP(c_Set_Oimage(T_b,T_b,V_f_2),V_A_2) = V_A_2 ) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_finite__surj__inj,axiom,
% 202.58/202.69 ! [V_f_2,V_A_2,T_b] :
% 202.58/202.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_Oimage(T_b,T_b,V_f_2),V_A_2)))
% 202.58/202.69 => c_Fun_Oinj__on(T_b,T_b,V_f_2,V_A_2) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_finite__UNIV__surj__inj,axiom,
% 202.58/202.69 ! [V_f_2,T_b] :
% 202.58/202.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 202.58/202.69 => ( hAPP(c_Set_Oimage(T_b,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.69 => c_Fun_Oinj__on(T_b,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_finite__UNIV__inj__surj,axiom,
% 202.58/202.69 ! [V_f_2,T_b] :
% 202.58/202.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 202.58/202.69 => ( c_Fun_Oinj__on(T_b,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 202.58/202.69 => hAPP(c_Set_Oimage(T_b,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_card__insert__le,axiom,
% 202.58/202.69 ! [V_x_2,V_A_2,T_b] :
% 202.58/202.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)))) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_card__mono,axiom,
% 202.58/202.69 ! [V_A_2,V_B_2,T_b] :
% 202.58/202.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 202.58/202.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2))) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_card__seteq,axiom,
% 202.58/202.69 ! [V_A_2,V_B_2,T_b] :
% 202.58/202.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)))
% 202.58/202.69 => V_A_2 = V_B_2 ) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_card__image__le,axiom,
% 202.58/202.69 ! [V_f_2,T_c,V_A_2,T_b] :
% 202.58/202.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_inj__on__iff__eq__card,axiom,
% 202.58/202.69 ! [V_f_2,T_c,V_A_2,T_b] :
% 202.58/202.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.69 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 202.58/202.69 <=> hAPP(c_Finite__Set_Ocard(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_eq__card__imp__inj__on,axiom,
% 202.58/202.69 ! [V_f_2,T_c,V_A_2,T_b] :
% 202.58/202.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.69 => ( hAPP(c_Finite__Set_Ocard(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2)
% 202.58/202.69 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_psubset__card__mono,axiom,
% 202.58/202.69 ! [V_A_2,V_B_2,T_b] :
% 202.58/202.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 202.58/202.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2))) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_card__greaterThanLessThan,axiom,
% 202.58/202.69 ! [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)) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I1_J,axiom,
% 202.58/202.69 ! [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)) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_subset__card__intvl__is__intvl,axiom,
% 202.58/202.69 ! [V_k_2,V_A_2] :
% 202.58/202.69 ( 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)))))
% 202.58/202.69 => 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))) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_mod__lemma,axiom,
% 202.58/202.69 ! [V_q,V_b,V_r,V_c] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_r),V_b))
% 202.58/202.69 => 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))) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_split__mod,axiom,
% 202.58/202.69 ! [V_k_2,V_n_2,V_P_2] :
% 202.58/202.69 ( hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n_2,V_k_2)))
% 202.58/202.69 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.58/202.69 => hBOOL(hAPP(V_P_2,V_n_2)) )
% 202.58/202.69 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.58/202.69 => ! [B_i,B_j] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2))
% 202.58/202.69 => ( 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)
% 202.58/202.69 => hBOOL(hAPP(V_P_2,B_j)) ) ) ) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_Suc__times__mod__eq,axiom,
% 202.58/202.69 ! [V_m,V_k] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_k))
% 202.58/202.69 => 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) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_nat__mod__distrib,axiom,
% 202.58/202.69 ! [V_y,V_x] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 202.58/202.69 => 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)) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_Divides_Otransfer__nat__int__functions_I2_J,axiom,
% 202.58/202.69 ! [V_y,V_x] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 202.58/202.69 => 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)) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_int__eq__iff__number__of,axiom,
% 202.58/202.69 ! [V_v_2,V_m_2] :
% 202.58/202.69 ( 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)
% 202.58/202.69 <=> ( V_m_2 = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2))
% 202.58/202.69 & 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))) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_card__insert__disjoint,axiom,
% 202.58/202.69 ! [V_x_2,V_A_2,T_b] :
% 202.58/202.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.69 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.58/202.69 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_b),V_A_2)) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_card__insert__if,axiom,
% 202.58/202.69 ! [V_x_2,V_A_2,T_b] :
% 202.58/202.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.69 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.58/202.69 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) )
% 202.58/202.69 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.58/202.69 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_b),V_A_2)) ) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_card__gt__0__iff,axiom,
% 202.58/202.69 ! [V_A_2,T_b] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)))
% 202.58/202.69 <=> ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.69 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_finite__UNIV__card__ge__0,axiom,
% 202.58/202.69 ! [T_b] :
% 202.58/202.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 202.58/202.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_card_Ounion__inter,axiom,
% 202.58/202.69 ! [V_B_2,V_A_2,T_b] :
% 202.58/202.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 202.58/202.69 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_card__Un__Int,axiom,
% 202.58/202.69 ! [V_B_2,V_A_2,T_b] :
% 202.58/202.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 202.58/202.69 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_card__bij__eq,axiom,
% 202.58/202.69 ! [V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 202.58/202.69 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),V_B_2))
% 202.58/202.69 => ( c_Fun_Oinj__on(T_c,T_b,V_g_2,V_B_2)
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_g_2),V_B_2)),V_A_2))
% 202.58/202.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 202.58/202.69 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ) ) ) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_card__Diff__subset,axiom,
% 202.58/202.69 ! [V_A_2,V_B_2,T_b] :
% 202.58/202.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 202.58/202.69 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_card__Diff__subset__Int,axiom,
% 202.58/202.69 ! [V_B_2,V_A_2,T_b] :
% 202.58/202.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 202.58/202.69 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_diff__card__le__card__Diff,axiom,
% 202.58/202.69 ! [V_A_2,V_B_2,T_b] :
% 202.58/202.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 202.58/202.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2))),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_card__psubset,axiom,
% 202.58/202.69 ! [V_A_2,V_B_2,T_b] :
% 202.58/202.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)))
% 202.58/202.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I1_J,axiom,
% 202.58/202.69 ! [V_A_2] :
% 202.58/202.69 ( c_Nat__Transfer_Onat__set(V_A_2)
% 202.58/202.69 => 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)) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_card__insert,axiom,
% 202.58/202.69 ! [V_x_2,V_A_2,T_b] :
% 202.58/202.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.69 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_card__Un__disjoint,axiom,
% 202.58/202.69 ! [V_B_2,V_A_2,T_b] :
% 202.58/202.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 202.58/202.69 => ( 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))
% 202.58/202.69 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) ) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_card__Diff1__le,axiom,
% 202.58/202.69 ! [V_x_2,V_A_2,T_b] :
% 202.58/202.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_card_Oinsert,axiom,
% 202.58/202.69 ! [V_x_2,V_A_2,T_b] :
% 202.58/202.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.69 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.58/202.69 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_card__inj__on__le,axiom,
% 202.58/202.69 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 202.58/202.69 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),V_B_2))
% 202.58/202.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 202.58/202.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_c),V_B_2))) ) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_inj__on__iff__card__le,axiom,
% 202.58/202.69 ! [V_B_2,T_c,V_A_2,T_b] :
% 202.58/202.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 202.58/202.69 => ( ? [B_f] :
% 202.58/202.69 ( c_Fun_Oinj__on(T_b,T_c,B_f,V_A_2)
% 202.58/202.69 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,B_f),V_A_2)),V_B_2)) )
% 202.58/202.69 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_c),V_B_2))) ) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_card__Suc__Diff1,axiom,
% 202.58/202.69 ! [V_x_2,V_A_2,T_b] :
% 202.58/202.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.58/202.69 => hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_card__Diff1__less,axiom,
% 202.58/202.69 ! [V_x_2,V_A_2,T_b] :
% 202.58/202.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.58/202.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_card__Diff2__less,axiom,
% 202.58/202.69 ! [V_y_2,V_x_2,V_A_2,T_b] :
% 202.58/202.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 202.58/202.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) ) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_card__Diff__insert,axiom,
% 202.58/202.69 ! [V_B_2,V_a_2,V_A_2,T_b] :
% 202.58/202.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 202.58/202.69 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2))
% 202.58/202.69 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_card_Oinsert__remove,axiom,
% 202.58/202.69 ! [V_x_2,V_A_2,T_b] :
% 202.58/202.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.69 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_folding__one_Oremove,axiom,
% 202.58/202.69 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 202.58/202.69 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 202.58/202.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.58/202.69 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.69 => hAPP(V_F_2,V_A_2) = V_x_2 )
% 202.58/202.69 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.69 => hAPP(V_F_2,V_A_2) = hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_folding__image__simple_Oremove,axiom,
% 202.58/202.69 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 202.58/202.69 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 202.58/202.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 202.58/202.69 => hAPP(V_F_2,V_A_2) = hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))))) ) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_card_Ounion__inter__neutral,axiom,
% 202.58/202.69 ! [V_B_2,V_A_2,T_b] :
% 202.58/202.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 202.58/202.69 => ( ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 202.58/202.69 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 202.58/202.69 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) ) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_one__mod__nat__number__of,axiom,
% 202.58/202.69 ! [V_v_H] :
% 202.58/202.69 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 202.58/202.69 => 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)) )
% 202.58/202.69 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 202.58/202.69 => 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))) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_folding__one_Ounion__inter,axiom,
% 202.58/202.69 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 202.58/202.69 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 202.58/202.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 202.58/202.69 => ( 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))
% 202.58/202.69 => 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)) ) ) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_folding__one_Ounion__disjoint,axiom,
% 202.58/202.69 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 202.58/202.69 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 202.58/202.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.69 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 202.58/202.69 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.69 => ( 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))
% 202.58/202.69 => 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)) ) ) ) ) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_infinite__UNIV__int,axiom,
% 202.58/202.69 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_Orderings_Otop__class_Otop(tc_fun(tc_Int_Oint,tc_HOL_Obool)))) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_ball__UN,axiom,
% 202.58/202.69 ! [V_P_2,V_B_2,V_A_2,T_c,T_b] :
% 202.58/202.69 ( ! [B_x] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 202.58/202.69 => hBOOL(hAPP(V_P_2,B_x)) )
% 202.58/202.69 <=> ! [B_x] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 202.58/202.69 => ! [B_xa] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(V_B_2,B_x)))
% 202.58/202.69 => hBOOL(hAPP(V_P_2,B_xa)) ) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_not__neg__0,axiom,
% 202.58/202.69 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_not__neg__int,axiom,
% 202.58/202.69 ! [V_n] : ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_not__neg__1,axiom,
% 202.58/202.69 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Oone__class_Oone(tc_Int_Oint))) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_folding__image__simple_Oempty,axiom,
% 202.58/202.69 ! [V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 202.58/202.69 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 202.58/202.69 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = V_z_2 ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_not__neg__eq__ge__0,axiom,
% 202.58/202.69 ! [V_x_2] :
% 202.58/202.69 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_x_2))
% 202.58/202.69 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_neg__def,axiom,
% 202.58/202.69 ! [V_Z_2] :
% 202.58/202.69 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_Z_2))
% 202.58/202.69 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_Z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_neg__nat,axiom,
% 202.58/202.69 ! [V_z] :
% 202.58/202.69 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z))
% 202.58/202.69 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_not__neg__nat,axiom,
% 202.58/202.69 ! [V_z] :
% 202.58/202.69 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z))
% 202.58/202.69 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_neg__imp__number__of__eq__0,axiom,
% 202.58/202.69 ! [V_v] :
% 202.58/202.69 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 202.58/202.69 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_neg__zminus__int,axiom,
% 202.58/202.69 ! [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))))) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_folding__one_Osingleton,axiom,
% 202.58/202.69 ! [V_x_2,V_F_2,V_f_2,T_b] :
% 202.58/202.69 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 202.58/202.69 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_eq__nat__number__of,axiom,
% 202.58/202.69 ! [V_v_H_2,V_v_2] :
% 202.58/202.69 ( 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)
% 202.58/202.69 <=> ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2)))
% 202.58/202.69 => 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))) )
% 202.58/202.69 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2)))
% 202.58/202.69 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2)))
% 202.58/202.69 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 202.58/202.69 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2)))
% 202.58/202.69 => V_v_2 = V_v_H_2 ) ) ) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_nat__number__of__add__left,axiom,
% 202.58/202.69 ! [V_k,V_v_H,V_v] :
% 202.58/202.69 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 202.58/202.69 => 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) )
% 202.58/202.69 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 202.58/202.69 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 202.58/202.69 => 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) )
% 202.58/202.69 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 202.58/202.69 => 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) ) ) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_int__nat__number__of,axiom,
% 202.58/202.69 ! [V_v] :
% 202.58/202.69 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 202.58/202.69 => 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) )
% 202.58/202.69 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 202.58/202.69 => 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) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_folding__image__simple_Oinsert,axiom,
% 202.58/202.69 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 202.58/202.69 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 202.58/202.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 202.58/202.69 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 202.58/202.69 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_F_2,V_A_2)) ) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_folding__image__simple_Ounion__inter,axiom,
% 202.58/202.69 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 202.58/202.69 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 202.58/202.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 202.58/202.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 202.58/202.69 => hAPP(hAPP(V_f_2,hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_of__nat__number__of__eq,axiom,
% 202.58/202.69 ! [V_v,T_a] :
% 202.58/202.69 ( class_Int_Onumber__ring(T_a)
% 202.58/202.69 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 202.58/202.69 => 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) )
% 202.58/202.69 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 202.58/202.69 => 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) ) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_mod__nat__number__of,axiom,
% 202.58/202.69 ! [V_v_H,V_v] :
% 202.58/202.69 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 202.58/202.69 => 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) )
% 202.58/202.69 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 202.58/202.69 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 202.58/202.69 => 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) )
% 202.58/202.69 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 202.58/202.69 => 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))) ) ) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_folding__one_Oinsert,axiom,
% 202.58/202.69 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 202.58/202.69 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 202.58/202.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.69 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.58/202.69 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.69 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) ) ) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_folding__one_Oinsert__remove,axiom,
% 202.58/202.69 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 202.58/202.69 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 202.58/202.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.69 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.69 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 202.58/202.69 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.69 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_folding__image__simple_Oinsert__remove,axiom,
% 202.58/202.69 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 202.58/202.69 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 202.58/202.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 202.58/202.69 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))))) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_folding__image__simple_Ounion__disjoint,axiom,
% 202.58/202.69 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 202.58/202.69 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 202.58/202.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 202.58/202.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 202.58/202.69 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 202.58/202.69 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_Suc__nat__number__of__add,axiom,
% 202.58/202.69 ! [V_n,V_v] :
% 202.58/202.69 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 202.58/202.69 => 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) )
% 202.58/202.69 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 202.58/202.69 => 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) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_Suc__nat__number__of,axiom,
% 202.58/202.69 ! [V_v] :
% 202.58/202.69 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 202.58/202.69 => hAPP(c_Nat_OSuc,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )
% 202.58/202.69 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 202.58/202.69 => 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)) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_finite__Union,axiom,
% 202.58/202.69 ! [V_A_2,T_b] :
% 202.58/202.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_A_2))
% 202.58/202.69 => ( ! [B_M] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_M),V_A_2))
% 202.58/202.69 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_M)) )
% 202.58/202.69 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2))) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_card__Plus__conv__if,axiom,
% 202.58/202.69 ! [V_B_2,T_c,V_A_2,T_b] :
% 202.58/202.69 ( ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.69 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) )
% 202.58/202.69 => hAPP(c_Finite__Set_Ocard(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_c),V_B_2)) )
% 202.58/202.69 & ( ~ ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.69 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) )
% 202.58/202.69 => hAPP(c_Finite__Set_Ocard(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_folding__one_Oclosed,axiom,
% 202.58/202.69 ! [V_A_2,V_F_2,V_f_2,T_b] :
% 202.58/202.69 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 202.58/202.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.69 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.69 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(V_f_2,B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 202.58/202.69 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_F_2,V_A_2)),V_A_2)) ) ) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_fold__Un__disjoint,axiom,
% 202.58/202.69 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 202.58/202.69 ( class_Groups_Ocomm__monoid__mult(T_c)
% 202.58/202.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 202.58/202.69 => ( 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))
% 202.58/202.69 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_A_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_B_2)) ) ) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_fold__image__empty,axiom,
% 202.58/202.69 ! [V_z_2,V_g_2,V_f_2,T_c,T_b] : hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_c,V_f_2),V_g_2),V_z_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = V_z_2 ).
% 202.58/202.69
% 202.58/202.69 fof(fact_folding__image__simple_Oeq__fold__g,axiom,
% 202.58/202.69 ! [V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 202.58/202.69 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 202.58/202.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 202.58/202.69 => hAPP(V_F_2,V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_c,V_f_2),V_g_2),V_z_2),V_A_2) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_succ__def,axiom,
% 202.58/202.69 ! [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)) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_fold__image__insert,axiom,
% 202.58/202.69 ! [V_z_2,V_g_2,V_a_2,V_A_2,T_b,T_c] :
% 202.58/202.69 ( class_Groups_Oab__semigroup__mult(T_c)
% 202.58/202.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.69 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 202.58/202.69 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_g_2,V_a_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),V_z_2),V_A_2)) ) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_finite__PlusD_I2_J,axiom,
% 202.58/202.69 ! [V_B_2,V_A_2,T_c,T_b] :
% 202.58/202.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2)))
% 202.58/202.69 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_finite__PlusD_I1_J,axiom,
% 202.58/202.69 ! [V_B_2,V_A_2,T_c,T_b] :
% 202.58/202.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2)))
% 202.58/202.69 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_finite__Plus,axiom,
% 202.58/202.69 ! [V_B_2,T_c,V_A_2,T_b] :
% 202.58/202.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 202.58/202.69 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2))) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_finite__Plus__iff,axiom,
% 202.58/202.69 ! [V_B_2,V_A_2,T_c,T_b] :
% 202.58/202.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2)))
% 202.58/202.69 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.69 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_number__of__succ,axiom,
% 202.58/202.69 ! [V_k,T_a] :
% 202.58/202.69 ( class_Int_Onumber__ring(T_a)
% 202.58/202.69 => 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)) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_card__Plus,axiom,
% 202.58/202.69 ! [V_B_2,T_c,V_A_2,T_b] :
% 202.58/202.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 202.58/202.69 => hAPP(c_Finite__Set_Ocard(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_c),V_B_2)) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_fold__image__Un__Int,axiom,
% 202.58/202.69 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 202.58/202.69 ( class_Groups_Ocomm__monoid__mult(T_c)
% 202.58/202.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 202.58/202.69 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_A_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_UNIV__Plus__UNIV,axiom,
% 202.58/202.69 ! [T_c,T_b] : c_Sum__Type_OPlus(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_sum(T_b,T_c),tc_HOL_Obool)) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_Plus__eq__empty__conv,axiom,
% 202.58/202.69 ! [V_B_2,V_A_2,T_c,T_b] :
% 202.58/202.69 ( c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_sum(T_b,T_c),tc_HOL_Obool))
% 202.58/202.69 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.69 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_fold__image__Un__one,axiom,
% 202.58/202.69 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] :
% 202.58/202.69 ( class_Groups_Ocomm__monoid__mult(T_c)
% 202.58/202.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 202.58/202.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 202.58/202.69 => ( ! [B_x] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)))
% 202.58/202.69 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 202.58/202.69 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_f_2),c_Groups_Oone__class_Oone(T_c)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_f_2),c_Groups_Oone__class_Oone(T_c)),V_S_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_f_2),c_Groups_Oone__class_Oone(T_c)),V_T_2)) ) ) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_finite__empty__induct,axiom,
% 202.58/202.69 ! [V_P_2,V_A_2,T_b] :
% 202.58/202.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.69 => ( hBOOL(hAPP(V_P_2,V_A_2))
% 202.58/202.69 => ( ! [B_a,B_A] :
% 202.58/202.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_A))
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A))
% 202.58/202.69 => ( hBOOL(hAPP(V_P_2,B_A))
% 202.58/202.69 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),B_A),hAPP(hAPP(c_Set_Oinsert(T_b),B_a),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) )
% 202.58/202.69 => hBOOL(hAPP(V_P_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_folding__one__idem_Ounion__idem,axiom,
% 202.58/202.69 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 202.58/202.69 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 202.58/202.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.69 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 202.58/202.69 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.69 => 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)) ) ) ) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_finite__subset__induct,axiom,
% 202.58/202.69 ! [V_P_2,V_A_2,V_F_2,T_b] :
% 202.58/202.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_A_2))
% 202.58/202.69 => ( hBOOL(hAPP(V_P_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 202.58/202.69 => ( ! [B_a,B_F] :
% 202.58/202.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_F))
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 202.58/202.69 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_F))
% 202.58/202.69 => ( hBOOL(hAPP(V_P_2,B_F))
% 202.58/202.69 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_F))) ) ) ) )
% 202.58/202.69 => hBOOL(hAPP(V_P_2,V_F_2)) ) ) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_folding__one__idem_Oidem,axiom,
% 202.58/202.69 ! [V_x_2,V_F_2,V_f_2,T_b] :
% 202.58/202.69 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 202.58/202.69 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_folding__one__idem_Oin__idem,axiom,
% 202.58/202.69 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 202.58/202.69 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 202.58/202.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.58/202.69 => hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) = hAPP(V_F_2,V_A_2) ) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_folding__one__idem_Oinsert__idem,axiom,
% 202.58/202.69 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 202.58/202.69 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 202.58/202.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.69 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.69 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) ) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_folding__one__idem_Osubset__idem,axiom,
% 202.58/202.69 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 202.58/202.69 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 202.58/202.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.69 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 202.58/202.69 => 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) ) ) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_zmod__minus1,axiom,
% 202.58/202.69 ! [V_b] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 202.58/202.69 => 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)) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_split__pos__lemma,axiom,
% 202.58/202.69 ! [V_n_2,V_P_2,V_k_2] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 202.58/202.69 => ( 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)))
% 202.58/202.69 <=> ! [B_i,B_j] :
% 202.58/202.69 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 202.58/202.69 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 202.58/202.69 & 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) )
% 202.58/202.69 => hBOOL(hAPP(hAPP(V_P_2,B_i),B_j)) ) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_split__neg__lemma,axiom,
% 202.58/202.69 ! [V_n_2,V_P_2,V_k_2] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 202.58/202.69 => ( 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)))
% 202.58/202.69 <=> ! [B_i,B_j] :
% 202.58/202.69 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 202.58/202.69 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 202.58/202.69 & 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) )
% 202.58/202.69 => hBOOL(hAPP(hAPP(V_P_2,B_i),B_j)) ) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_int__val__lemma,axiom,
% 202.58/202.69 ! [V_k_2,V_f_2,V_n_2] :
% 202.58/202.69 ( ! [B_i] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2))
% 202.58/202.69 => 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))) )
% 202.58/202.69 => ( 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))
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2)))
% 202.58/202.69 => ? [B_i] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2))
% 202.58/202.69 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_nat0__intermed__int__val,axiom,
% 202.58/202.69 ! [V_k_2,V_f_2,V_n_2] :
% 202.58/202.69 ( ! [B_i] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2))
% 202.58/202.69 => 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))) )
% 202.58/202.69 => ( 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))
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2)))
% 202.58/202.69 => ? [B_i] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2))
% 202.58/202.69 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_fold1__Un,axiom,
% 202.58/202.69 ! [V_B_2,V_A_2,T_b] :
% 202.58/202.69 ( class_Groups_Oab__semigroup__mult(T_b)
% 202.58/202.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.69 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 202.58/202.69 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.69 => ( 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))
% 202.58/202.69 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_A_2)),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_B_2)) ) ) ) ) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_zdiv__minus1__right,axiom,
% 202.58/202.69 ! [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) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_zdiv__zero,axiom,
% 202.58/202.69 ! [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) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_rel__simps_I24_J,axiom,
% 202.58/202.69 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_rel__simps_I7_J,axiom,
% 202.58/202.69 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_zdiv__zminus2,axiom,
% 202.58/202.69 ! [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) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_zdiv__zminus__zminus,axiom,
% 202.58/202.69 ! [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) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_div__by__0,axiom,
% 202.58/202.69 ! [V_a,T_a] :
% 202.58/202.69 ( class_Divides_Osemiring__div(T_a)
% 202.58/202.69 => 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) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_div__0,axiom,
% 202.58/202.69 ! [V_a,T_a] :
% 202.58/202.69 ( class_Divides_Osemiring__div(T_a)
% 202.58/202.69 => 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) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_div__by__1,axiom,
% 202.58/202.69 ! [V_a,T_a] :
% 202.58/202.69 ( class_Divides_Osemiring__div(T_a)
% 202.58/202.69 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_Divides_Otransfer__int__nat__function__closures_I1_J,axiom,
% 202.58/202.69 ! [V_y,V_x] :
% 202.58/202.69 ( c_Nat__Transfer_Ois__nat(V_x)
% 202.58/202.69 => ( c_Nat__Transfer_Ois__nat(V_y)
% 202.58/202.69 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_y)) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_div__eq__minus1,axiom,
% 202.58/202.69 ! [V_b] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 202.58/202.69 => 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) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_Divides_Otransfer__nat__int__function__closures_I1_J,axiom,
% 202.58/202.69 ! [V_y,V_x] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 202.58/202.69 => 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))) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_pos__imp__zdiv__neg__iff,axiom,
% 202.58/202.69 ! [V_a_2,V_b_2] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2))
% 202.58/202.69 => ( 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)))
% 202.58/202.69 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_neg__imp__zdiv__neg__iff,axiom,
% 202.58/202.69 ! [V_a_2,V_b_2] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 202.58/202.69 => ( 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)))
% 202.58/202.69 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_div__neg__pos__less0,axiom,
% 202.58/202.69 ! [V_b,V_a] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 202.58/202.69 => 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))) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_zdiv__self,axiom,
% 202.58/202.69 ! [V_a] :
% 202.58/202.69 ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 202.58/202.69 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_a) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_DIVISION__BY__ZERO,axiom,
% 202.58/202.69 ! [V_a] :
% 202.58/202.69 ( 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)
% 202.58/202.69 & c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_a ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_zmod__zdiv__trivial,axiom,
% 202.58/202.69 ! [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) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_bin__less__0__simps_I2_J,axiom,
% 202.58/202.69 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_zdiv__zadd1__eq,axiom,
% 202.58/202.69 ! [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)) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_Int_OMin__def,axiom,
% 202.58/202.69 c_Int_OMin = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_mult__Min,axiom,
% 202.58/202.69 ! [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) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_div__mult__mult1,axiom,
% 202.58/202.69 ! [V_b,V_a,V_c,T_a] :
% 202.58/202.69 ( class_Divides_Osemiring__div(T_a)
% 202.58/202.69 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 202.58/202.69 => 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) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_div__mult__mult2,axiom,
% 202.58/202.69 ! [V_b,V_a,V_c,T_a] :
% 202.58/202.69 ( class_Divides_Osemiring__div(T_a)
% 202.58/202.69 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 202.58/202.69 => 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) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_div__mult__self1__is__id,axiom,
% 202.58/202.69 ! [V_a,V_b,T_a] :
% 202.58/202.69 ( class_Divides_Osemiring__div(T_a)
% 202.58/202.69 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 202.58/202.69 => 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 ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_div__mult__self2__is__id,axiom,
% 202.58/202.69 ! [V_a,V_b,T_a] :
% 202.58/202.69 ( class_Divides_Osemiring__div(T_a)
% 202.58/202.69 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 202.58/202.69 => 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 ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_div__mult__mult1__if,axiom,
% 202.58/202.69 ! [V_b,V_a,V_c,T_a] :
% 202.58/202.69 ( class_Divides_Osemiring__div(T_a)
% 202.58/202.69 => ( ( V_c = c_Groups_Ozero__class_Ozero(T_a)
% 202.58/202.69 => 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) )
% 202.58/202.69 & ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 202.58/202.69 => 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) ) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_neg__number__of__Min,axiom,
% 202.58/202.69 hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin))) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_div__self,axiom,
% 202.58/202.69 ! [V_a,T_a] :
% 202.58/202.69 ( class_Divides_Osemiring__div(T_a)
% 202.58/202.69 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 202.58/202.69 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_mod__div__trivial,axiom,
% 202.58/202.69 ! [V_b,V_a,T_a] :
% 202.58/202.69 ( class_Divides_Osemiring__div(T_a)
% 202.58/202.69 => 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) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_div__pos__neg__trivial,axiom,
% 202.58/202.69 ! [V_b,V_a] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 202.58/202.69 => ( 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)))
% 202.58/202.69 => 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) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_fold1__singleton__def,axiom,
% 202.58/202.69 ! [V_a_2,V_f_2,T_b,V_g_2] :
% 202.58/202.69 ( V_g_2 = c_Finite__Set_Ofold1(T_b,V_f_2)
% 202.58/202.69 => hAPP(V_g_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_a_2 ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_fold1__singleton,axiom,
% 202.58/202.69 ! [V_a_2,V_f_2,T_b] : hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_a_2 ).
% 202.58/202.69
% 202.58/202.69 fof(fact_diff__bin__simps_I2_J,axiom,
% 202.58/202.69 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Osucc(V_k) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_folding__one_Oeq__fold,axiom,
% 202.58/202.69 ! [V_A_2,V_F_2,V_f_2,T_b] :
% 202.58/202.69 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 202.58/202.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.69 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_zdiv__mono1__neg,axiom,
% 202.58/202.69 ! [V_b,V_a_H,V_a] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H))
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 202.58/202.69 => 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))) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_zdiv__mono1,axiom,
% 202.58/202.69 ! [V_b,V_a_H,V_a] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H))
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 202.58/202.69 => 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))) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_div__neg__neg__trivial,axiom,
% 202.58/202.69 ! [V_b,V_a] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a))
% 202.58/202.69 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_zdiv__mono2__neg,axiom,
% 202.58/202.69 ! [V_b,V_b_H,V_a] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 202.58/202.69 => 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))) ) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_div__nonpos__pos__le0,axiom,
% 202.58/202.69 ! [V_b,V_a] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 202.58/202.69 => 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))) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_neg__imp__zdiv__nonneg__iff,axiom,
% 202.58/202.69 ! [V_a_2,V_b_2] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 202.58/202.69 => ( 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)))
% 202.58/202.69 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_div__pos__pos__trivial,axiom,
% 202.58/202.69 ! [V_b,V_a] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 202.58/202.69 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_div__nonneg__neg__le0,axiom,
% 202.58/202.69 ! [V_b,V_a] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 202.58/202.69 => 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))) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_zdiv__mono2,axiom,
% 202.58/202.69 ! [V_b,V_b_H,V_a] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 202.58/202.69 => 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))) ) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_nonneg1__imp__zdiv__pos__iff,axiom,
% 202.58/202.69 ! [V_b_2,V_a_2] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2))
% 202.58/202.69 => ( 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)))
% 202.58/202.69 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),V_a_2))
% 202.58/202.69 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2)) ) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_pos__imp__zdiv__pos__iff,axiom,
% 202.58/202.69 ! [V_i_2,V_k_2] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 202.58/202.69 => ( 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)))
% 202.58/202.69 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_i_2)) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_pos__imp__zdiv__nonneg__iff,axiom,
% 202.58/202.69 ! [V_a_2,V_b_2] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2))
% 202.58/202.69 => ( 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)))
% 202.58/202.69 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_zdiv__eq__0__iff,axiom,
% 202.58/202.69 ! [V_k_2,V_i_2] :
% 202.58/202.69 ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_i_2),V_k_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 202.58/202.69 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 202.58/202.69 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i_2))
% 202.58/202.69 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),V_k_2)) )
% 202.58/202.69 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 202.58/202.69 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_i_2)) ) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_int__div__less__self,axiom,
% 202.58/202.69 ! [V_k,V_x] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_k))
% 202.58/202.69 => 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)) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_zdiv__zmult2__eq,axiom,
% 202.58/202.69 ! [V_b,V_a,V_c] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 202.58/202.69 => 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) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_mult__minus1__right,axiom,
% 202.58/202.69 ! [V_z,T_a] :
% 202.58/202.69 ( class_Int_Onumber__ring(T_a)
% 202.58/202.69 => 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) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_mult__minus1,axiom,
% 202.58/202.69 ! [V_z,T_a] :
% 202.58/202.69 ( class_Int_Onumber__ring(T_a)
% 202.58/202.69 => 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) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_arith__simps_I31_J,axiom,
% 202.58/202.69 ! [T_a] :
% 202.58/202.69 ( class_Int_Onumber__ring(T_a)
% 202.58/202.69 => 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) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_number__of__Min,axiom,
% 202.58/202.69 ! [T_a] :
% 202.58/202.69 ( class_Int_Onumber__ring(T_a)
% 202.58/202.69 => 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)) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_zmod__zdiv__equality,axiom,
% 202.58/202.69 ! [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)) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_zdiv__zmult1__eq,axiom,
% 202.58/202.69 ! [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)) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_zdiv__zmod__equality,axiom,
% 202.58/202.69 ! [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) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_zdiv__zmod__equality2,axiom,
% 202.58/202.69 ! [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) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_abs__minus__one,axiom,
% 202.58/202.69 ! [T_a] :
% 202.58/202.69 ( ( class_Int_Onumber__ring(T_a)
% 202.58/202.69 & class_Rings_Olinordered__idom(T_a) )
% 202.58/202.69 => 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) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_zmult__div__cancel,axiom,
% 202.58/202.69 ! [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)) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_zmod__zdiv__equality_H,axiom,
% 202.58/202.69 ! [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)) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_zmod__minus1__right,axiom,
% 202.58/202.69 ! [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) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_zmult__eq__1__iff,axiom,
% 202.58/202.69 ! [V_n_2,V_m_2] :
% 202.58/202.69 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 202.58/202.69 <=> ( ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 202.58/202.69 & V_n_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) )
% 202.58/202.69 | ( V_m_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)
% 202.58/202.69 & V_n_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_pos__zmult__eq__1__iff__lemma,axiom,
% 202.58/202.69 ! [V_n,V_m] :
% 202.58/202.69 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m),V_n) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 202.58/202.69 => ( V_m = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 202.58/202.69 | V_m = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_of__int__m1,axiom,
% 202.58/202.69 ! [T_a] :
% 202.58/202.69 ( class_Int_Onumber__ring(T_a)
% 202.58/202.69 => 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) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_div__mult__self2,axiom,
% 202.58/202.69 ! [V_c,V_a,V_b,T_a] :
% 202.58/202.69 ( class_Divides_Osemiring__div(T_a)
% 202.58/202.69 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 202.58/202.69 => 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)) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_div__mult__self1,axiom,
% 202.58/202.69 ! [V_c,V_a,V_b,T_a] :
% 202.58/202.69 ( class_Divides_Osemiring__div(T_a)
% 202.58/202.69 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 202.58/202.69 => 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)) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_div__add__self2,axiom,
% 202.58/202.69 ! [V_a,V_b,T_a] :
% 202.58/202.69 ( class_Divides_Osemiring__div(T_a)
% 202.58/202.69 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 202.58/202.69 => 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)) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_div__add__self1,axiom,
% 202.58/202.69 ! [V_a,V_b,T_a] :
% 202.58/202.69 ( class_Divides_Osemiring__div(T_a)
% 202.58/202.69 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 202.58/202.69 => 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)) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_semiring__div__class_Omod__div__equality_H,axiom,
% 202.58/202.69 ! [V_b,V_a,T_a] :
% 202.58/202.69 ( class_Divides_Osemiring__div(T_a)
% 202.58/202.69 => 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 ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_mod__div__equality2,axiom,
% 202.58/202.69 ! [V_a,V_b,T_a] :
% 202.58/202.69 ( class_Divides_Osemiring__div(T_a)
% 202.58/202.69 => 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 ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_mod__div__equality,axiom,
% 202.58/202.69 ! [V_b,V_a,T_a] :
% 202.58/202.69 ( class_Divides_Osemiring__div(T_a)
% 202.58/202.69 => 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 ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_div__mod__equality2,axiom,
% 202.58/202.69 ! [V_c,V_a,V_b,T_a] :
% 202.58/202.69 ( class_Divides_Osemiring__div(T_a)
% 202.58/202.69 => 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) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_div__mod__equality,axiom,
% 202.58/202.69 ! [V_c,V_b,V_a,T_a] :
% 202.58/202.69 ( class_Divides_Osemiring__div(T_a)
% 202.58/202.69 => 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) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_fold1__insert__idem,axiom,
% 202.58/202.69 ! [V_x_2,V_A_2,T_b] :
% 202.58/202.69 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 202.58/202.69 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.69 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_A_2)) ) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_fold1__Un2,axiom,
% 202.58/202.69 ! [V_B_2,V_A_2,T_b] :
% 202.58/202.69 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 202.58/202.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.69 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 202.58/202.69 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.69 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_A_2)),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_B_2)) ) ) ) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_divmod__int__rel__div__eq,axiom,
% 202.58/202.69 ! [V_r_1,V_y,V_b_1,V_a_1] :
% 202.58/202.69 ( 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)
% 202.58/202.69 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_1))
% 202.58/202.69 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_1),V_b_1)) ) )
% 202.58/202.69 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_r_1))
% 202.58/202.69 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r_1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 202.58/202.69 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 202.58/202.69 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_1),V_b_1) = V_y ) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_split__zdiv,axiom,
% 202.58/202.69 ! [V_k_2,V_n_2,V_P_2] :
% 202.58/202.69 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_n_2),V_k_2)))
% 202.58/202.69 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 202.58/202.69 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 202.58/202.69 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 202.58/202.69 => ! [B_i] :
% 202.58/202.69 ( ? [B_j] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 202.58/202.69 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 202.58/202.69 & 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) )
% 202.58/202.69 => hBOOL(hAPP(V_P_2,B_i)) ) )
% 202.58/202.69 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 202.58/202.69 => ! [B_i] :
% 202.58/202.69 ( ? [B_j] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 202.58/202.69 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 202.58/202.69 & 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) )
% 202.58/202.69 => hBOOL(hAPP(V_P_2,B_i)) ) ) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_zmod__zmult2__eq,axiom,
% 202.58/202.69 ! [V_b,V_a,V_c] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 202.58/202.69 => 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)) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_zdiv__zminus1__eq__if,axiom,
% 202.58/202.69 ! [V_a,V_b] :
% 202.58/202.69 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 202.58/202.69 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 202.58/202.69 => 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)) )
% 202.58/202.69 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 202.58/202.69 => 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)) ) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_zdiv__zminus2__eq__if,axiom,
% 202.58/202.69 ! [V_a,V_b] :
% 202.58/202.69 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 202.58/202.69 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 202.58/202.69 => 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)) )
% 202.58/202.69 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 202.58/202.69 => 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)) ) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_fold1__insert,axiom,
% 202.58/202.69 ! [V_x_2,V_A_2,T_b] :
% 202.58/202.69 ( class_Groups_Oab__semigroup__mult(T_b)
% 202.58/202.69 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.69 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.58/202.69 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_A_2)) ) ) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_z3div__def,axiom,
% 202.58/202.69 ! [V_k,V_l] :
% 202.58/202.69 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 202.58/202.69 => c_SMT_Oz3div(V_k,V_l) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_k),V_l) )
% 202.58/202.69 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 202.58/202.69 => 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))) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_below__fold1__iff,axiom,
% 202.58/202.69 ! [V_x_2,V_A_2,T_b] :
% 202.58/202.69 ( class_Lattices_Osemilattice__inf(T_b)
% 202.58/202.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.69 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),hAPP(c_Finite__Set_Ofold1(T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_A_2)))
% 202.58/202.69 <=> ! [B_x] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 202.58/202.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_fold1__belowI,axiom,
% 202.58/202.69 ! [V_a_2,V_A_2,T_b] :
% 202.58/202.69 ( class_Lattices_Osemilattice__inf(T_b)
% 202.58/202.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 202.58/202.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_A_2)),V_a_2)) ) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_fold1__in,axiom,
% 202.58/202.69 ! [V_A_2,T_b] :
% 202.58/202.69 ( class_Groups_Oab__semigroup__mult(T_b)
% 202.58/202.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.69 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.69 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 202.58/202.69 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_A_2)),V_A_2)) ) ) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_int__power__div__base,axiom,
% 202.58/202.69 ! [V_k,V_m] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 202.58/202.69 => 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)))) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_one__div__nat__number__of,axiom,
% 202.58/202.69 ! [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))) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_of__int__power,axiom,
% 202.58/202.69 ! [V_n,V_z,T_a] :
% 202.58/202.69 ( class_Rings_Oring__1(T_a)
% 202.58/202.69 => 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) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,axiom,
% 202.58/202.69 ! [V_q,V_y,V_x,T_a] :
% 202.58/202.69 ( class_Rings_Ocomm__semiring__1(T_a)
% 202.58/202.69 => 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)) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_div__le__dividend,axiom,
% 202.58/202.69 ! [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)) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_div__le__mono,axiom,
% 202.58/202.69 ! [V_k,V_n,V_m] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 202.58/202.69 => 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))) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_div__mult2__eq,axiom,
% 202.58/202.69 ! [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) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J,axiom,
% 202.58/202.69 ! [V_q,V_p,V_x,T_a] :
% 202.58/202.69 ( class_Rings_Ocomm__semiring__1(T_a)
% 202.58/202.69 => 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)) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_zpower__zpower,axiom,
% 202.58/202.69 ! [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)) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom,
% 202.58/202.69 ! [V_x,T_a] :
% 202.58/202.69 ( class_Rings_Ocomm__semiring__1(T_a)
% 202.58/202.69 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_x ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_zpower__zmod,axiom,
% 202.58/202.69 ! [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) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I4_J,axiom,
% 202.58/202.69 ! [V_n,V_x] :
% 202.58/202.69 ( c_Nat__Transfer_Ois__nat(V_x)
% 202.58/202.69 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_n)) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_div__1,axiom,
% 202.58/202.69 ! [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 ).
% 202.58/202.69
% 202.58/202.69 fof(fact_div__less,axiom,
% 202.58/202.69 ! [V_n,V_m] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 202.58/202.69 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_nat__mult__div__cancel__disj,axiom,
% 202.58/202.69 ! [V_n,V_m,V_k] :
% 202.58/202.69 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.58/202.69 => 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) )
% 202.58/202.69 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.58/202.69 => 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) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J,axiom,
% 202.58/202.69 ! [V_q,V_x,T_a] :
% 202.58/202.69 ( class_Rings_Ocomm__semiring__1(T_a)
% 202.58/202.69 => 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)) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J,axiom,
% 202.58/202.69 ! [V_q,V_x,T_a] :
% 202.58/202.69 ( class_Rings_Ocomm__semiring__1(T_a)
% 202.58/202.69 => 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)) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J,axiom,
% 202.58/202.69 ! [V_q,V_x,T_a] :
% 202.58/202.69 ( class_Rings_Ocomm__semiring__1(T_a)
% 202.58/202.69 => 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)) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,axiom,
% 202.58/202.69 ! [V_x,T_a] :
% 202.58/202.69 ( class_Rings_Ocomm__semiring__1(T_a)
% 202.58/202.69 => 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) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J,axiom,
% 202.58/202.69 ! [V_q,V_p,V_x,T_a] :
% 202.58/202.69 ( class_Rings_Ocomm__semiring__1(T_a)
% 202.58/202.69 => 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)) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J,axiom,
% 202.58/202.69 ! [V_n,V_x] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 202.58/202.69 => 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))) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_div__add1__eq,axiom,
% 202.58/202.69 ! [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)) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_zdiv__int,axiom,
% 202.58/202.69 ! [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)) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_Divides_Otransfer__int__nat__functions_I1_J,axiom,
% 202.58/202.69 ! [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)) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_zpower__zadd__distrib,axiom,
% 202.58/202.69 ! [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)) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_Ints__power,axiom,
% 202.58/202.69 ! [V_n_2,V_a_2,T_b] :
% 202.58/202.69 ( class_Rings_Oring__1(T_b)
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 202.58/202.69 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_n_2)),c_Int_Oring__1__class_OInts(T_b))) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_div__le__mono2,axiom,
% 202.58/202.69 ! [V_k,V_n,V_m] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 202.58/202.69 => 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))) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_nat__mult__div__cancel1,axiom,
% 202.58/202.69 ! [V_n,V_m,V_k] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 202.58/202.69 => 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) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_div__mult__self1__is__m,axiom,
% 202.58/202.69 ! [V_m,V_n] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 202.58/202.69 => 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 ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_div__mult__self__is__m,axiom,
% 202.58/202.69 ! [V_m,V_n] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 202.58/202.69 => 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 ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_div__less__dividend,axiom,
% 202.58/202.69 ! [V_m,V_n] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n))
% 202.58/202.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 202.58/202.69 => 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)) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_div__mult1__eq,axiom,
% 202.58/202.69 ! [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)) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_mod__mult2__eq,axiom,
% 202.58/202.69 ! [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)) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_Divides_Omod__div__equality_H,axiom,
% 202.58/202.69 ! [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)) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_mult__div__cancel,axiom,
% 202.58/202.69 ! [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)) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_div__mod__equality_H,axiom,
% 202.58/202.69 ! [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)) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_zero__le__zpower__abs,axiom,
% 202.58/202.69 ! [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))) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_Sup__fin_Oidem,axiom,
% 202.58/202.69 ! [V_x,T_a] :
% 202.58/202.69 ( class_Lattices_Olattice(T_a)
% 202.58/202.69 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_Inf__fin_Oidem,axiom,
% 202.58/202.69 ! [V_x,T_a] :
% 202.58/202.69 ( class_Lattices_Olattice(T_a)
% 202.58/202.69 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_div__if,axiom,
% 202.58/202.69 ! [V_m,V_n] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 202.58/202.69 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 202.58/202.69 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 202.58/202.69 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 202.58/202.69 => 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)) ) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_div__geq,axiom,
% 202.58/202.69 ! [V_m,V_n] :
% 202.58/202.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 202.58/202.69 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 202.58/202.69 => 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)) ) ) ).
% 202.58/202.69
% 202.58/202.69 fof(fact_split__div,axiom,
% 202.58/202.69 ! [V_k_2,V_n_2,V_P_2] :
% 202.58/202.70 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_n_2),V_k_2)))
% 202.58/202.70 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.58/202.70 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 202.58/202.70 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.58/202.70 => ! [B_i,B_j] :
% 202.58/202.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2))
% 202.58/202.70 => ( 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)
% 202.58/202.70 => hBOOL(hAPP(V_P_2,B_i)) ) ) ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_Divides_Otransfer__nat__int__functions_I1_J,axiom,
% 202.58/202.70 ! [V_y,V_x] :
% 202.58/202.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 202.58/202.70 => 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)) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_nat__div__distrib,axiom,
% 202.58/202.70 ! [V_y,V_x] :
% 202.58/202.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 202.58/202.70 => 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)) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_abs__power__minus__one,axiom,
% 202.58/202.70 ! [V_n,T_a] :
% 202.58/202.70 ( ( class_Int_Onumber__ring(T_a)
% 202.58/202.70 & class_Rings_Olinordered__idom(T_a) )
% 202.58/202.70 => 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) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_zero__less__zpower__abs__iff,axiom,
% 202.58/202.70 ! [V_n_2,V_x_2] :
% 202.58/202.70 ( 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)))
% 202.58/202.70 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 202.58/202.70 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_le__div__geq,axiom,
% 202.58/202.70 ! [V_m,V_n] :
% 202.58/202.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 202.58/202.70 => 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)) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_split__div__lemma,axiom,
% 202.58/202.70 ! [V_m_2,V_q_2,V_n_2] :
% 202.58/202.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))
% 202.58/202.70 => ( ( 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))
% 202.58/202.70 & 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)))) )
% 202.58/202.70 <=> V_q_2 = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_n_2) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_split__div_H,axiom,
% 202.58/202.70 ! [V_n_2,V_m_2,V_P_2] :
% 202.58/202.70 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_n_2)))
% 202.58/202.70 <=> ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.58/202.70 & hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 202.58/202.70 | ? [B_q] :
% 202.58/202.70 ( 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))
% 202.58/202.70 & 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))))
% 202.58/202.70 & hBOOL(hAPP(V_P_2,B_q)) ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_div__nat__number__of,axiom,
% 202.58/202.70 ! [V_v_H,V_v] :
% 202.58/202.70 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 202.58/202.70 => 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) )
% 202.58/202.70 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 202.58/202.70 => 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))) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_power__strict__mono,axiom,
% 202.58/202.70 ! [V_n,V_b,V_a,T_a] :
% 202.58/202.70 ( class_Rings_Olinordered__semidom(T_a)
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 202.58/202.70 => 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))) ) ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_one__less__power,axiom,
% 202.58/202.70 ! [V_n,V_a,T_a] :
% 202.58/202.70 ( class_Rings_Olinordered__semidom(T_a)
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 202.58/202.70 => 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))) ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_power__increasing__iff,axiom,
% 202.58/202.70 ! [V_y_2,V_x_2,V_b_2,T_b] :
% 202.58/202.70 ( class_Rings_Olinordered__semidom(T_b)
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_b_2))
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_b_2),V_x_2)),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_b_2),V_y_2)))
% 202.58/202.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_power__le__imp__le__exp,axiom,
% 202.58/202.70 ! [V_n,V_m,V_a,T_a] :
% 202.58/202.70 ( class_Rings_Olinordered__semidom(T_a)
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 202.58/202.70 => ( 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)))
% 202.58/202.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_power__decreasing,axiom,
% 202.58/202.70 ! [V_a,V_N,V_n,T_a] :
% 202.58/202.70 ( class_Rings_Olinordered__semidom(T_a)
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N))
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 202.58/202.70 => 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))) ) ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_nat__power__eq__Suc__0__iff,axiom,
% 202.58/202.70 ! [V_m_2,V_x_2] :
% 202.58/202.70 ( 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))
% 202.58/202.70 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.58/202.70 | V_x_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_power__Suc__0,axiom,
% 202.58/202.70 ! [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)) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_nat__zero__less__power__iff,axiom,
% 202.58/202.70 ! [V_n_2,V_x_2] :
% 202.58/202.70 ( 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)))
% 202.58/202.70 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_x_2))
% 202.58/202.70 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_nat__power__less__imp__less,axiom,
% 202.58/202.70 ! [V_n,V_m,V_i] :
% 202.58/202.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_i))
% 202.58/202.70 => ( 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)))
% 202.58/202.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_nat__one__le__power,axiom,
% 202.58/202.70 ! [V_n,V_i] :
% 202.58/202.70 ( 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))
% 202.58/202.70 => 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))) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_int__power,axiom,
% 202.58/202.70 ! [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) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_zpower__int,axiom,
% 202.58/202.70 ! [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)) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I4_J,axiom,
% 202.58/202.70 ! [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)) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_power__eq__if,axiom,
% 202.58/202.70 ! [V_p,V_m] :
% 202.58/202.70 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.58/202.70 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),V_m) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )
% 202.58/202.70 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.58/202.70 => 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)))) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_nat__power__eq,axiom,
% 202.58/202.70 ! [V_n,V_z] :
% 202.58/202.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 202.58/202.70 => 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) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I4_J,axiom,
% 202.58/202.70 ! [V_n,V_x] :
% 202.58/202.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 202.58/202.70 => 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)) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_card__Pow,axiom,
% 202.58/202.70 ! [V_A_2,T_b] :
% 202.58/202.70 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.70 => hAPP(c_Finite__Set_Ocard(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_power__nat__number__of,axiom,
% 202.58/202.70 ! [V_n,V_v] :
% 202.58/202.70 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 202.58/202.70 => 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) )
% 202.58/202.70 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 202.58/202.70 => 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)) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_power__nat__number__of__number__of,axiom,
% 202.58/202.70 ! [V_w,V_v] :
% 202.58/202.70 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 202.58/202.70 => 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)) )
% 202.58/202.70 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 202.58/202.70 => 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))) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_field__power__not__zero,axiom,
% 202.58/202.70 ! [V_n,V_a,T_a] :
% 202.58/202.70 ( class_Rings_Oring__1__no__zero__divisors(T_a)
% 202.58/202.70 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 202.58/202.70 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n) != c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_power__mult__distrib,axiom,
% 202.58/202.70 ! [V_n,V_b,V_a,T_a] :
% 202.58/202.70 ( class_Groups_Ocomm__monoid__mult(T_a)
% 202.58/202.70 => 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)) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_power__commutes,axiom,
% 202.58/202.70 ! [V_n,V_a,T_a] :
% 202.58/202.70 ( class_Groups_Omonoid__mult(T_a)
% 202.58/202.70 => 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)) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_power__one,axiom,
% 202.58/202.70 ! [V_n,T_a] :
% 202.58/202.70 ( class_Groups_Omonoid__mult(T_a)
% 202.58/202.70 => 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) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_of__nat__power,axiom,
% 202.58/202.70 ! [V_n,V_m,T_a] :
% 202.58/202.70 ( class_Rings_Osemiring__1(T_a)
% 202.58/202.70 => 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) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_power__mult,axiom,
% 202.58/202.70 ! [V_n,V_m,V_a,T_a] :
% 202.58/202.70 ( class_Groups_Omonoid__mult(T_a)
% 202.58/202.70 => 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) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_power__abs,axiom,
% 202.58/202.70 ! [V_n,V_a,T_a] :
% 202.58/202.70 ( class_Rings_Olinordered__idom(T_a)
% 202.58/202.70 => 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) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_power__one__right,axiom,
% 202.58/202.70 ! [V_a,T_a] :
% 202.58/202.70 ( class_Groups_Omonoid__mult(T_a)
% 202.58/202.70 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_a ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_power__mono,axiom,
% 202.58/202.70 ! [V_n,V_b,V_a,T_a] :
% 202.58/202.70 ( class_Rings_Olinordered__semidom(T_a)
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 202.58/202.70 => 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))) ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_zero__le__power,axiom,
% 202.58/202.70 ! [V_n,V_a,T_a] :
% 202.58/202.70 ( class_Rings_Olinordered__semidom(T_a)
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 202.58/202.70 => 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),V_n))) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_zero__less__power,axiom,
% 202.58/202.70 ! [V_n,V_a,T_a] :
% 202.58/202.70 ( class_Rings_Olinordered__semidom(T_a)
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 202.58/202.70 => 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),V_n))) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_power__eq__0__iff,axiom,
% 202.58/202.70 ! [V_n_2,V_a_2,T_b] :
% 202.58/202.70 ( ( class_Power_Opower(T_b)
% 202.58/202.70 & class_Rings_Omult__zero(T_b)
% 202.58/202.70 & class_Rings_Ono__zero__divisors(T_b)
% 202.58/202.70 & class_Rings_Ozero__neq__one(T_b) )
% 202.58/202.70 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_n_2) = c_Groups_Ozero__class_Ozero(T_b)
% 202.58/202.70 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_b)
% 202.58/202.70 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_one__le__power,axiom,
% 202.58/202.70 ! [V_n,V_a,T_a] :
% 202.58/202.70 ( class_Rings_Olinordered__semidom(T_a)
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 202.58/202.70 => 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))) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_power__0__Suc,axiom,
% 202.58/202.70 ! [V_n,T_a] :
% 202.58/202.70 ( ( class_Power_Opower(T_a)
% 202.58/202.70 & class_Rings_Osemiring__0(T_a) )
% 202.58/202.70 => 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) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_power__inject__exp,axiom,
% 202.58/202.70 ! [V_n_2,V_m_2,V_a_2,T_b] :
% 202.58/202.70 ( class_Rings_Olinordered__semidom(T_b)
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_a_2))
% 202.58/202.70 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_m_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_n_2)
% 202.58/202.70 <=> V_m_2 = V_n_2 ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_power__Suc2,axiom,
% 202.58/202.70 ! [V_n,V_a,T_a] :
% 202.58/202.70 ( class_Groups_Omonoid__mult(T_a)
% 202.58/202.70 => 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) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_power__Suc,axiom,
% 202.58/202.70 ! [V_n,V_a,T_a] :
% 202.58/202.70 ( class_Power_Opower(T_a)
% 202.58/202.70 => 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)) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_power__0,axiom,
% 202.58/202.70 ! [V_a,T_a] :
% 202.58/202.70 ( class_Power_Opower(T_a)
% 202.58/202.70 => 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) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_power__add,axiom,
% 202.58/202.70 ! [V_n,V_m,V_a,T_a] :
% 202.58/202.70 ( class_Groups_Omonoid__mult(T_a)
% 202.58/202.70 => 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)) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_abs__power__minus,axiom,
% 202.58/202.70 ! [V_n,V_a,T_a] :
% 202.58/202.70 ( class_Rings_Olinordered__idom(T_a)
% 202.58/202.70 => 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)) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_power__less__imp__less__base,axiom,
% 202.58/202.70 ! [V_b,V_n,V_a,T_a] :
% 202.58/202.70 ( class_Rings_Olinordered__semidom(T_a)
% 202.58/202.70 => ( 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)))
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 202.58/202.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_power__inject__base,axiom,
% 202.58/202.70 ! [V_b,V_n,V_a,T_a] :
% 202.58/202.70 ( class_Rings_Olinordered__semidom(T_a)
% 202.58/202.70 => ( 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))
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 202.58/202.70 => V_a = V_b ) ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_power__le__imp__le__base,axiom,
% 202.58/202.70 ! [V_b,V_n,V_a,T_a] :
% 202.58/202.70 ( class_Rings_Olinordered__semidom(T_a)
% 202.58/202.70 => ( 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))))
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 202.58/202.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_power__less__power__Suc,axiom,
% 202.58/202.70 ! [V_n,V_a,T_a] :
% 202.58/202.70 ( class_Rings_Olinordered__semidom(T_a)
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 202.58/202.70 => 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)))) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_power__gt1__lemma,axiom,
% 202.58/202.70 ! [V_n,V_a,T_a] :
% 202.58/202.70 ( class_Rings_Olinordered__semidom(T_a)
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 202.58/202.70 => 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)))) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_power__0__left,axiom,
% 202.58/202.70 ! [V_n,T_a] :
% 202.58/202.70 ( ( class_Power_Opower(T_a)
% 202.58/202.70 & class_Rings_Osemiring__0(T_a) )
% 202.58/202.70 => ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.58/202.70 => 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) )
% 202.58/202.70 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.58/202.70 => 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) ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_power__gt1,axiom,
% 202.58/202.70 ! [V_n,V_a,T_a] :
% 202.58/202.70 ( class_Rings_Olinordered__semidom(T_a)
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 202.58/202.70 => 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)))) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_power__strict__increasing__iff,axiom,
% 202.58/202.70 ! [V_y_2,V_x_2,V_b_2,T_b] :
% 202.58/202.70 ( class_Rings_Olinordered__semidom(T_b)
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_b_2))
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_b_2),V_x_2)),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_b_2),V_y_2)))
% 202.58/202.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_power__less__imp__less__exp,axiom,
% 202.58/202.70 ! [V_n,V_m,V_a,T_a] :
% 202.58/202.70 ( class_Rings_Olinordered__semidom(T_a)
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 202.58/202.70 => ( 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)))
% 202.58/202.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_power__strict__increasing,axiom,
% 202.58/202.70 ! [V_a,V_N,V_n,T_a] :
% 202.58/202.70 ( class_Rings_Olinordered__semidom(T_a)
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N))
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 202.58/202.70 => 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))) ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_zero__le__power__abs,axiom,
% 202.58/202.70 ! [V_n,V_a,T_a] :
% 202.58/202.70 ( class_Rings_Olinordered__idom(T_a)
% 202.58/202.70 => 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),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_n))) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_power__increasing,axiom,
% 202.58/202.70 ! [V_a,V_N,V_n,T_a] :
% 202.58/202.70 ( class_Rings_Olinordered__semidom(T_a)
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N))
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 202.58/202.70 => 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))) ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_power__minus,axiom,
% 202.58/202.70 ! [V_n,V_a,T_a] :
% 202.58/202.70 ( class_Rings_Oring__1(T_a)
% 202.58/202.70 => 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)) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_power__Suc__less,axiom,
% 202.58/202.70 ! [V_n,V_a,T_a] :
% 202.58/202.70 ( class_Rings_Olinordered__semidom(T_a)
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 202.58/202.70 => 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))) ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_power__eq__imp__eq__base,axiom,
% 202.58/202.70 ! [V_b,V_n,V_a,T_a] :
% 202.58/202.70 ( class_Rings_Olinordered__semidom(T_a)
% 202.58/202.70 => ( 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)
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 202.58/202.70 => V_a = V_b ) ) ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_power__Suc__less__one,axiom,
% 202.58/202.70 ! [V_n,V_a,T_a] :
% 202.58/202.70 ( class_Rings_Olinordered__semidom(T_a)
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 202.58/202.70 => 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,V_n))),c_Groups_Oone__class_Oone(T_a))) ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_power__strict__decreasing,axiom,
% 202.58/202.70 ! [V_a,V_N,V_n,T_a] :
% 202.58/202.70 ( class_Rings_Olinordered__semidom(T_a)
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N))
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 202.58/202.70 => 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))) ) ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_semilattice__big_OF__eq,axiom,
% 202.58/202.70 ! [V_A_2,V_F_2,V_f_2,T_b] :
% 202.58/202.70 ( c_Big__Operators_Osemilattice__big(T_b,V_f_2,V_F_2)
% 202.58/202.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.70 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_Nitpick_Onat__lcm__def,axiom,
% 202.58/202.70 ! [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)) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_comm__monoid__big_OF__eq,axiom,
% 202.58/202.70 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 202.58/202.70 ( c_Big__Operators_Ocomm__monoid__big(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 202.58/202.70 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 202.58/202.70 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_c,V_f_2),V_g_2),V_z_2),V_A_2) )
% 202.58/202.70 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 202.58/202.70 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_power__power__power,axiom,
% 202.58/202.70 ! [T_b] :
% 202.58/202.70 ( class_Power_Opower(T_b)
% 202.58/202.70 => c_Power_Opower__class_Opower(T_b) = c_Power_Opower_Opower(T_b,c_Groups_Oone__class_Oone(T_b),c_Groups_Otimes__class_Otimes(T_b)) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_Inf__fin_Oremove,axiom,
% 202.58/202.70 ! [V_x_2,V_A_2,T_b] :
% 202.58/202.70 ( class_Lattices_Olattice(T_b)
% 202.58/202.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.58/202.70 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.70 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = V_x_2 )
% 202.58/202.70 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.70 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_Inf__fin_Osingleton,axiom,
% 202.58/202.70 ! [V_x_2,T_b] :
% 202.58/202.70 ( class_Lattices_Olattice(T_b)
% 202.58/202.70 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_power_Opower_Opower__0,axiom,
% 202.58/202.70 ! [V_a_2,V_times_2,V_one_2,T_b] : hAPP(hAPP(c_Power_Opower_Opower(T_b,V_one_2,V_times_2),V_a_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_one_2 ).
% 202.58/202.70
% 202.58/202.70 fof(fact_power_Opower_Opower__Suc,axiom,
% 202.58/202.70 ! [V_n_2,V_a_2,V_times_2,V_one_2,T_b] : hAPP(hAPP(c_Power_Opower_Opower(T_b,V_one_2,V_times_2),V_a_2),hAPP(c_Nat_OSuc,V_n_2)) = hAPP(hAPP(V_times_2,V_a_2),hAPP(hAPP(c_Power_Opower_Opower(T_b,V_one_2,V_times_2),V_a_2),V_n_2)) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_sup__Inf__absorb,axiom,
% 202.58/202.70 ! [V_a_2,V_A_2,T_b] :
% 202.58/202.70 ( class_Lattices_Olattice(T_b)
% 202.58/202.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 202.58/202.70 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_a_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) = V_a_2 ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_Inf__fin_Oin__idem,axiom,
% 202.58/202.70 ! [V_x_2,V_A_2,T_b] :
% 202.58/202.70 ( class_Lattices_Olattice(T_b)
% 202.58/202.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.58/202.70 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_Inf__fin__Inf,axiom,
% 202.58/202.70 ! [V_A_2,T_b] :
% 202.58/202.70 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 202.58/202.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.70 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.70 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2) ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_Inf__fin_OF__eq,axiom,
% 202.58/202.70 ! [V_A_2,T_b] :
% 202.58/202.70 ( class_Lattices_Olattice(T_b)
% 202.58/202.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.70 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_A_2) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_Inf__fin_Oinsert__idem,axiom,
% 202.58/202.70 ! [V_x_2,V_A_2,T_b] :
% 202.58/202.70 ( class_Lattices_Olattice(T_b)
% 202.58/202.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.70 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.70 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_Inf__fin_Osubset__idem,axiom,
% 202.58/202.70 ! [V_B_2,V_A_2,T_b] :
% 202.58/202.70 ( class_Lattices_Olattice(T_b)
% 202.58/202.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.70 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 202.58/202.70 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_B_2)),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) ) ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_comm__monoid__big_Oinfinite,axiom,
% 202.58/202.70 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 202.58/202.70 ( c_Big__Operators_Ocomm__monoid__big(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 202.58/202.70 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 202.58/202.70 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_Inf__fin_Ounion__idem,axiom,
% 202.58/202.70 ! [V_B_2,V_A_2,T_b] :
% 202.58/202.70 ( class_Lattices_Olattice(T_b)
% 202.58/202.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.70 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 202.58/202.70 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.70 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_B_2)) ) ) ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_nat__gcd_Osimps,axiom,
% 202.58/202.70 ! [V_x,V_y] :
% 202.58/202.70 ( ( V_y = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.58/202.70 => c_Nitpick_Onat__gcd(V_x,V_y) = V_x )
% 202.58/202.70 & ( V_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.58/202.70 => 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)) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_Inf__fin_Oinsert,axiom,
% 202.58/202.70 ! [V_x_2,V_A_2,T_b] :
% 202.58/202.70 ( class_Lattices_Olattice(T_b)
% 202.58/202.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.70 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.58/202.70 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.70 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) ) ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_Inf__fin_Oinsert__remove,axiom,
% 202.58/202.70 ! [V_x_2,V_A_2,T_b] :
% 202.58/202.70 ( class_Lattices_Olattice(T_b)
% 202.58/202.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.70 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.70 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 202.58/202.70 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.70 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_Inf__fin_Ounion__disjoint,axiom,
% 202.58/202.70 ! [V_B_2,V_A_2,T_b] :
% 202.58/202.70 ( class_Lattices_Olattice(T_b)
% 202.58/202.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.70 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 202.58/202.70 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.70 => ( 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))
% 202.58/202.70 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_B_2)) ) ) ) ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_Inf__fin_Ounion__inter,axiom,
% 202.58/202.70 ! [V_B_2,V_A_2,T_b] :
% 202.58/202.70 ( class_Lattices_Olattice(T_b)
% 202.58/202.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 202.58/202.70 => ( 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))
% 202.58/202.70 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_B_2)) ) ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_Nitpick_Oint__gcd__def,axiom,
% 202.58/202.70 ! [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)))) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_Inf__fin_Oclosed,axiom,
% 202.58/202.70 ! [V_A_2,T_b] :
% 202.58/202.70 ( class_Lattices_Olattice(T_b)
% 202.58/202.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.70 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.70 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 202.58/202.70 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_Sup__fin_Oremove,axiom,
% 202.58/202.70 ! [V_x_2,V_A_2,T_b] :
% 202.58/202.70 ( class_Lattices_Olattice(T_b)
% 202.58/202.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.58/202.70 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.70 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = V_x_2 )
% 202.58/202.70 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.70 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_Inf__fin_Ohom__commute,axiom,
% 202.58/202.70 ! [V_N_2,V_h_2,T_b] :
% 202.58/202.70 ( class_Lattices_Olattice(T_b)
% 202.58/202.70 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),B_x),B_y)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 202.58/202.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 202.58/202.70 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.70 => hAPP(V_h_2,c_Big__Operators_Olattice__class_OInf__fin(T_b,V_N_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_hom__fold1__commute,axiom,
% 202.58/202.70 ! [V_N_2,V_h_2,T_b] :
% 202.58/202.70 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 202.58/202.70 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),B_x),B_y)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 202.58/202.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 202.58/202.70 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.70 => hAPP(V_h_2,hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_N_2)) = hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_Sup__fin_Osingleton,axiom,
% 202.58/202.70 ! [V_x_2,T_b] :
% 202.58/202.70 ( class_Lattices_Olattice(T_b)
% 202.58/202.70 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_Sup__fin_Oin__idem,axiom,
% 202.58/202.70 ! [V_x_2,V_A_2,T_b] :
% 202.58/202.70 ( class_Lattices_Olattice(T_b)
% 202.58/202.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.58/202.70 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_inf__Sup__absorb,axiom,
% 202.58/202.70 ! [V_a_2,V_A_2,T_b] :
% 202.58/202.70 ( class_Lattices_Olattice(T_b)
% 202.58/202.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 202.58/202.70 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_a_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) = V_a_2 ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_Sup__fin__Sup,axiom,
% 202.58/202.70 ! [V_A_2,T_b] :
% 202.58/202.70 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 202.58/202.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.70 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.70 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2) ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_Sup__fin_OF__eq,axiom,
% 202.58/202.70 ! [V_A_2,T_b] :
% 202.58/202.70 ( class_Lattices_Olattice(T_b)
% 202.58/202.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.70 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_A_2) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_Sup__fin_Oinsert__idem,axiom,
% 202.58/202.70 ! [V_x_2,V_A_2,T_b] :
% 202.58/202.70 ( class_Lattices_Olattice(T_b)
% 202.58/202.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.70 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.70 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_Sup__fin_Osubset__idem,axiom,
% 202.58/202.70 ! [V_B_2,V_A_2,T_b] :
% 202.58/202.70 ( class_Lattices_Olattice(T_b)
% 202.58/202.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.70 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 202.58/202.70 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_B_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) ) ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_Sup__fin_Ounion__idem,axiom,
% 202.58/202.70 ! [V_B_2,V_A_2,T_b] :
% 202.58/202.70 ( class_Lattices_Olattice(T_b)
% 202.58/202.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.70 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 202.58/202.70 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.70 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_B_2)) ) ) ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_Inf__le__Sup,axiom,
% 202.58/202.70 ! [V_A_2,T_b] :
% 202.58/202.70 ( class_Lattices_Olattice(T_b)
% 202.58/202.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.70 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2))) ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_Sup__fin_Oinsert,axiom,
% 202.58/202.70 ! [V_x_2,V_A_2,T_b] :
% 202.58/202.70 ( class_Lattices_Olattice(T_b)
% 202.58/202.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.70 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.58/202.70 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.70 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) ) ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_Sup__fin_Oinsert__remove,axiom,
% 202.58/202.70 ! [V_x_2,V_A_2,T_b] :
% 202.58/202.70 ( class_Lattices_Olattice(T_b)
% 202.58/202.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.70 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.70 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 202.58/202.70 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.70 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_Sup__fin_Ounion__inter,axiom,
% 202.58/202.70 ! [V_B_2,V_A_2,T_b] :
% 202.58/202.70 ( class_Lattices_Olattice(T_b)
% 202.58/202.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 202.58/202.70 => ( 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))
% 202.58/202.70 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_B_2)) ) ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_Sup__fin_Ounion__disjoint,axiom,
% 202.58/202.70 ! [V_B_2,V_A_2,T_b] :
% 202.58/202.70 ( class_Lattices_Olattice(T_b)
% 202.58/202.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.70 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 202.58/202.70 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.70 => ( 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))
% 202.58/202.70 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_B_2)) ) ) ) ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_Sup__fin_Oclosed,axiom,
% 202.58/202.70 ! [V_A_2,T_b] :
% 202.58/202.70 ( class_Lattices_Olattice(T_b)
% 202.58/202.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.70 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.70 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 202.58/202.70 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_Sup__fin_Ohom__commute,axiom,
% 202.58/202.70 ! [V_N_2,V_h_2,T_b] :
% 202.58/202.70 ( class_Lattices_Olattice(T_b)
% 202.58/202.70 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),B_x),B_y)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 202.58/202.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 202.58/202.70 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.70 => hAPP(V_h_2,c_Big__Operators_Olattice__class_OSup__fin(T_b,V_N_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_card__partition,axiom,
% 202.58/202.70 ! [V_k_2,V_C_2,T_b] :
% 202.58/202.70 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_C_2))
% 202.58/202.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2)))
% 202.58/202.70 => ( ! [B_c] :
% 202.58/202.70 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c),V_C_2))
% 202.58/202.70 => hAPP(c_Finite__Set_Ocard(T_b),B_c) = V_k_2 )
% 202.58/202.70 => ( ! [B_c1] :
% 202.58/202.70 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c1),V_C_2))
% 202.58/202.70 => ! [B_c2] :
% 202.58/202.70 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c2),V_C_2))
% 202.58/202.70 => ( B_c1 != B_c2
% 202.58/202.70 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),B_c1),B_c2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) )
% 202.58/202.70 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),hAPP(c_Finite__Set_Ocard(tc_fun(T_b,tc_HOL_Obool)),V_C_2)) = hAPP(c_Finite__Set_Ocard(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2)) ) ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_nat__number__of__add__1,axiom,
% 202.58/202.70 ! [V_v] :
% 202.58/202.70 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 202.58/202.70 => 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) )
% 202.58/202.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 202.58/202.70 => 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)) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_nat__1__add__number__of,axiom,
% 202.58/202.70 ! [V_v] :
% 202.58/202.70 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 202.58/202.70 => 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) )
% 202.58/202.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 202.58/202.70 => 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)) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_Pls__def,axiom,
% 202.58/202.70 c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_rel__simps_I19_J,axiom,
% 202.58/202.70 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_rel__simps_I2_J,axiom,
% 202.58/202.70 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_add__Pls__right,axiom,
% 202.58/202.70 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ).
% 202.58/202.70
% 202.58/202.70 fof(fact_add__Pls,axiom,
% 202.58/202.70 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OPls),V_k) = V_k ).
% 202.58/202.70
% 202.58/202.70 fof(fact_mult__Pls,axiom,
% 202.58/202.70 ! [V_w] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OPls),V_w) = c_Int_OPls ).
% 202.58/202.70
% 202.58/202.70 fof(fact_diff__bin__simps_I1_J,axiom,
% 202.58/202.70 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ).
% 202.58/202.70
% 202.58/202.70 fof(fact_minus__Pls,axiom,
% 202.58/202.70 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OPls) = c_Int_OPls ).
% 202.58/202.70
% 202.58/202.70 fof(fact_rel__simps_I40_J,axiom,
% 202.58/202.70 c_Int_OMin != c_Int_OPls ).
% 202.58/202.70
% 202.58/202.70 fof(fact_rel__simps_I37_J,axiom,
% 202.58/202.70 c_Int_OPls != c_Int_OMin ).
% 202.58/202.70
% 202.58/202.70 fof(fact_number__of__Pls,axiom,
% 202.58/202.70 ! [T_a] :
% 202.58/202.70 ( class_Int_Onumber__ring(T_a)
% 202.58/202.70 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_semiring__norm_I112_J,axiom,
% 202.58/202.70 ! [T_a] :
% 202.58/202.70 ( class_Int_Onumber__ring(T_a)
% 202.58/202.70 => c_Groups_Ozero__class_Ozero(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_add__numeral__0__right,axiom,
% 202.58/202.70 ! [V_a,T_a] :
% 202.58/202.70 ( class_Int_Onumber__ring(T_a)
% 202.58/202.70 => 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 ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_add__numeral__0,axiom,
% 202.58/202.70 ! [V_a,T_a] :
% 202.58/202.70 ( class_Int_Onumber__ring(T_a)
% 202.58/202.70 => 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 ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_bin__less__0__simps_I1_J,axiom,
% 202.58/202.70 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_nat__number__of__Pls,axiom,
% 202.58/202.70 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_semiring__norm_I113_J,axiom,
% 202.58/202.70 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_zero__is__num__zero,axiom,
% 202.58/202.70 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_rel__simps_I20_J,axiom,
% 202.58/202.70 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_rel__simps_I23_J,axiom,
% 202.58/202.70 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_rel__simps_I3_J,axiom,
% 202.58/202.70 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_rel__simps_I6_J,axiom,
% 202.58/202.70 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_eq__number__of__Pls__Min,axiom,
% 202.58/202.70 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) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_not__neg__number__of__Pls,axiom,
% 202.58/202.70 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls))) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_succ__Min,axiom,
% 202.58/202.70 c_Int_Osucc(c_Int_OMin) = c_Int_OPls ).
% 202.58/202.70
% 202.58/202.70 fof(fact_eq__number__of__0,axiom,
% 202.58/202.70 ! [V_v_2] :
% 202.58/202.70 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.58/202.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_eq__0__number__of,axiom,
% 202.58/202.70 ! [V_v_2] :
% 202.58/202.70 ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)
% 202.58/202.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_number__of2,axiom,
% 202.58/202.70 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))) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_less__nat__number__of,axiom,
% 202.58/202.70 ! [V_v_H_2,V_v_2] :
% 202.58/202.70 ( 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)))
% 202.58/202.70 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2))
% 202.58/202.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_H_2)) )
% 202.58/202.70 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2)) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_le__nat__number__of,axiom,
% 202.58/202.70 ! [V_v_H_2,V_v_2] :
% 202.58/202.70 ( 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)))
% 202.58/202.70 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),V_v_H_2))
% 202.58/202.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_le__special_I3_J,axiom,
% 202.58/202.70 ! [V_x_2,T_b] :
% 202.58/202.70 ( ( class_Int_Onumber__ring(T_b)
% 202.58/202.70 & class_Rings_Olinordered__idom(T_b) )
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 202.58/202.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_le__special_I1_J,axiom,
% 202.58/202.70 ! [V_y_2,T_b] :
% 202.58/202.70 ( ( class_Int_Onumber__ring(T_b)
% 202.58/202.70 & class_Rings_Olinordered__idom(T_b) )
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)))
% 202.58/202.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_less__special_I1_J,axiom,
% 202.58/202.70 ! [V_y_2,T_b] :
% 202.58/202.70 ( ( class_Int_Onumber__ring(T_b)
% 202.58/202.70 & class_Rings_Olinordered__idom(T_b) )
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)))
% 202.58/202.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_less__special_I3_J,axiom,
% 202.58/202.70 ! [V_x_2,T_b] :
% 202.58/202.70 ( ( class_Int_Onumber__ring(T_b)
% 202.58/202.70 & class_Rings_Olinordered__idom(T_b) )
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 202.58/202.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_less__0__number__of,axiom,
% 202.58/202.70 ! [V_v_2] :
% 202.58/202.70 ( 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)))
% 202.58/202.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_2)) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_add__nat__number__of,axiom,
% 202.58/202.70 ! [V_v_H,V_v] :
% 202.58/202.70 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 202.58/202.70 => 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) )
% 202.58/202.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 202.58/202.70 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls))
% 202.58/202.70 => 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) )
% 202.58/202.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls))
% 202.58/202.70 => 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)) ) ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_mult__nat__number__of,axiom,
% 202.58/202.70 ! [V_v_H,V_v] :
% 202.58/202.70 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 202.58/202.70 => 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) )
% 202.58/202.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 202.58/202.70 => 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)) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_nat__number__of__mult__left,axiom,
% 202.58/202.70 ! [V_k,V_v_H,V_v] :
% 202.58/202.70 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 202.58/202.70 => 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) )
% 202.58/202.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 202.58/202.70 => 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) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_eq__special_I1_J,axiom,
% 202.58/202.70 ! [V_y_2,T_b] :
% 202.58/202.70 ( class_Int_Onumber__ring(T_b)
% 202.58/202.70 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 202.58/202.70 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OPls),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_y_2)))) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_eq__special_I3_J,axiom,
% 202.58/202.70 ! [V_x_2,T_b] :
% 202.58/202.70 ( class_Int_Onumber__ring(T_b)
% 202.58/202.70 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = c_Groups_Ozero__class_Ozero(T_b)
% 202.58/202.70 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OPls)))) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_nat__number__of__diff__1,axiom,
% 202.58/202.70 ! [V_v] :
% 202.58/202.70 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls))
% 202.58/202.70 => 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) )
% 202.58/202.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls))
% 202.58/202.70 => 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)) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_Nats__number__of,axiom,
% 202.58/202.70 ! [V_w_2,T_b] :
% 202.58/202.70 ( class_Int_Onumber__ring(T_b)
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_w_2))
% 202.58/202.70 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_Suc__diff__number__of,axiom,
% 202.58/202.70 ! [V_m,V_v] :
% 202.58/202.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v))
% 202.58/202.70 => 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))) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_succ__pred,axiom,
% 202.58/202.70 ! [V_x] : c_Int_Osucc(c_Int_Opred(V_x)) = V_x ).
% 202.58/202.70
% 202.58/202.70 fof(fact_iszero__0,axiom,
% 202.58/202.70 ! [T_a] :
% 202.58/202.70 ( class_Rings_Osemiring__1(T_a)
% 202.58/202.70 => c_Int_Oiszero(T_a,c_Groups_Ozero__class_Ozero(T_a)) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_iszero__def,axiom,
% 202.58/202.70 ! [V_z_2,T_b] :
% 202.58/202.70 ( class_Rings_Osemiring__1(T_b)
% 202.58/202.70 => ( c_Int_Oiszero(T_b,V_z_2)
% 202.58/202.70 <=> V_z_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_not__iszero__1,axiom,
% 202.58/202.70 ! [T_a] :
% 202.58/202.70 ( class_Rings_Osemiring__1(T_a)
% 202.58/202.70 => ~ c_Int_Oiszero(T_a,c_Groups_Oone__class_Oone(T_a)) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_le__iff__pred__less,axiom,
% 202.58/202.70 ! [V_l_2,V_k_2] :
% 202.58/202.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2))
% 202.58/202.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_Opred(V_k_2)),V_l_2)) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_pred__Pls,axiom,
% 202.58/202.70 c_Int_Opred(c_Int_OPls) = c_Int_OMin ).
% 202.58/202.70
% 202.58/202.70 fof(fact_pred__def,axiom,
% 202.58/202.70 ! [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)) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_add__Min__right,axiom,
% 202.58/202.70 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Opred(V_k) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_add__Min,axiom,
% 202.58/202.70 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OMin),V_k) = c_Int_Opred(V_k) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_iszero__Numeral0,axiom,
% 202.58/202.70 ! [T_a] :
% 202.58/202.70 ( class_Int_Onumber__ring(T_a)
% 202.58/202.70 => c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls)) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_Nats__0,axiom,
% 202.58/202.70 ! [T_b] :
% 202.58/202.70 ( class_Rings_Osemiring__1(T_b)
% 202.58/202.70 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_Nats__add,axiom,
% 202.58/202.70 ! [V_b_2,V_a_2,T_b] :
% 202.58/202.70 ( class_Rings_Osemiring__1(T_b)
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 202.58/202.70 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_b_2)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_Nats__mult,axiom,
% 202.58/202.70 ! [V_b_2,V_a_2,T_b] :
% 202.58/202.70 ( class_Rings_Osemiring__1(T_b)
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 202.58/202.70 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_b_2)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_nonzero__number__of__Min,axiom,
% 202.58/202.70 ! [T_a] :
% 202.58/202.70 ( class_Int_Onumber__ring(T_a)
% 202.58/202.70 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_Nats__1,axiom,
% 202.58/202.70 ! [T_b] :
% 202.58/202.70 ( class_Rings_Osemiring__1(T_b)
% 202.58/202.70 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Oone__class_Oone(T_b)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_of__nat__in__Nats,axiom,
% 202.58/202.70 ! [V_n_2,T_b] :
% 202.58/202.70 ( class_Rings_Osemiring__1(T_b)
% 202.58/202.70 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_number__of__pred,axiom,
% 202.58/202.70 ! [V_w,T_a] :
% 202.58/202.70 ( class_Int_Onumber__ring(T_a)
% 202.58/202.70 => 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)) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_neg__number__of__pred__iff__0,axiom,
% 202.58/202.70 ! [V_v_2] :
% 202.58/202.70 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))))
% 202.58/202.70 <=> hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_eq__number__of__eq,axiom,
% 202.58/202.70 ! [V_y_2,V_x_2,T_b] :
% 202.58/202.70 ( class_Int_Onumber__ring(T_b)
% 202.58/202.70 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 202.58/202.70 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_y_2)))) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_eq__special_I2_J,axiom,
% 202.58/202.70 ! [V_y_2,T_b] :
% 202.58/202.70 ( class_Int_Onumber__ring(T_b)
% 202.58/202.70 => ( c_Groups_Oone__class_Oone(T_b) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 202.58/202.70 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_y_2)))) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_eq__special_I4_J,axiom,
% 202.58/202.70 ! [V_x_2,T_b] :
% 202.58/202.70 ( class_Int_Onumber__ring(T_b)
% 202.58/202.70 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = c_Groups_Oone__class_Oone(T_b)
% 202.58/202.70 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OBit1(c_Int_OPls))))) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_diff__special_I2_J,axiom,
% 202.58/202.70 ! [V_v,T_a] :
% 202.58/202.70 ( class_Int_Onumber__ring(T_a)
% 202.58/202.70 => 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)))) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_diff__special_I1_J,axiom,
% 202.58/202.70 ! [V_w,T_a] :
% 202.58/202.70 ( class_Int_Onumber__ring(T_a)
% 202.58/202.70 => 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))) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_folding__one__idem_Ohom__commute,axiom,
% 202.58/202.70 ! [V_N_2,V_h_2,V_F_2,V_f_2,T_b] :
% 202.58/202.70 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 202.58/202.70 => ( ! [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))
% 202.58/202.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 202.58/202.70 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.70 => hAPP(V_h_2,hAPP(V_F_2,V_N_2)) = hAPP(V_F_2,hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_rel__simps_I51_J,axiom,
% 202.58/202.70 ! [V_l_2,V_k_2] :
% 202.58/202.70 ( c_Int_OBit1(V_k_2) = c_Int_OBit1(V_l_2)
% 202.58/202.70 <=> V_k_2 = V_l_2 ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_rel__simps_I17_J,axiom,
% 202.58/202.70 ! [V_l_2,V_k_2] :
% 202.58/202.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2)))
% 202.58/202.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_less__int__code_I16_J,axiom,
% 202.58/202.70 ! [V_k2_2,V_k1_2] :
% 202.58/202.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 202.58/202.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_rel__simps_I34_J,axiom,
% 202.58/202.70 ! [V_l_2,V_k_2] :
% 202.58/202.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2)))
% 202.58/202.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_less__eq__int__code_I16_J,axiom,
% 202.58/202.70 ! [V_k2_2,V_k1_2] :
% 202.58/202.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 202.58/202.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_rel__simps_I46_J,axiom,
% 202.58/202.70 ! [V_k] : c_Int_OBit1(V_k) != c_Int_OPls ).
% 202.58/202.70
% 202.58/202.70 fof(fact_rel__simps_I39_J,axiom,
% 202.58/202.70 ! [V_l] : c_Int_OPls != c_Int_OBit1(V_l) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_Bit1__Min,axiom,
% 202.58/202.70 c_Int_OBit1(c_Int_OMin) = c_Int_OMin ).
% 202.58/202.70
% 202.58/202.70 fof(fact_rel__simps_I43_J,axiom,
% 202.58/202.70 ! [V_l_2] :
% 202.58/202.70 ( c_Int_OMin = c_Int_OBit1(V_l_2)
% 202.58/202.70 <=> c_Int_OMin = V_l_2 ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_rel__simps_I47_J,axiom,
% 202.58/202.70 ! [V_k_2] :
% 202.58/202.70 ( c_Int_OBit1(V_k_2) = c_Int_OMin
% 202.58/202.70 <=> V_k_2 = c_Int_OMin ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_bin__less__0__simps_I4_J,axiom,
% 202.58/202.70 ! [V_w_2] :
% 202.58/202.70 ( 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)))
% 202.58/202.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_rel__simps_I22_J,axiom,
% 202.58/202.70 ! [V_k_2] :
% 202.58/202.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2)))
% 202.58/202.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_rel__simps_I12_J,axiom,
% 202.58/202.70 ! [V_k_2] :
% 202.58/202.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls))
% 202.58/202.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_Bit1__def,axiom,
% 202.58/202.70 ! [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) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_rel__simps_I30_J,axiom,
% 202.58/202.70 ! [V_k_2] :
% 202.58/202.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin))
% 202.58/202.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_rel__simps_I26_J,axiom,
% 202.58/202.70 ! [V_k_2] :
% 202.58/202.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2)))
% 202.58/202.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_rel__simps_I13_J,axiom,
% 202.58/202.70 ! [V_k_2] :
% 202.58/202.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin))
% 202.58/202.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_rel__simps_I9_J,axiom,
% 202.58/202.70 ! [V_k_2] :
% 202.58/202.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2)))
% 202.58/202.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_neg__number__of__Bit1,axiom,
% 202.58/202.70 ! [V_w_2] :
% 202.58/202.70 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_w_2))))
% 202.58/202.70 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_minus__Bit1,axiom,
% 202.58/202.70 ! [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))) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_iszero__number__of__Bit1,axiom,
% 202.58/202.70 ! [V_w,T_a] :
% 202.58/202.70 ( ( class_Int_Onumber__ring(T_a)
% 202.58/202.70 & class_Int_Oring__char__0(T_a) )
% 202.58/202.70 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(V_w))) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_succ__Pls,axiom,
% 202.58/202.70 c_Int_Osucc(c_Int_OPls) = c_Int_OBit1(c_Int_OPls) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_number__of__Bit1,axiom,
% 202.58/202.70 ! [V_w,T_a] :
% 202.58/202.70 ( class_Int_Onumber__ring(T_a)
% 202.58/202.70 => 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)) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_mult__numeral__1,axiom,
% 202.58/202.70 ! [V_a,T_a] :
% 202.58/202.70 ( class_Int_Onumber__ring(T_a)
% 202.58/202.70 => 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 ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_mult__numeral__1__right,axiom,
% 202.58/202.70 ! [V_a,T_a] :
% 202.58/202.70 ( class_Int_Onumber__ring(T_a)
% 202.58/202.70 => 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 ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_semiring__norm_I110_J,axiom,
% 202.58/202.70 ! [T_a] :
% 202.58/202.70 ( class_Int_Onumber__ring(T_a)
% 202.58/202.70 => c_Groups_Oone__class_Oone(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_numeral__1__eq__1,axiom,
% 202.58/202.70 ! [T_a] :
% 202.58/202.70 ( class_Int_Onumber__ring(T_a)
% 202.58/202.70 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_rel__simps_I5_J,axiom,
% 202.58/202.70 ! [V_k_2] :
% 202.58/202.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2)))
% 202.58/202.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_rel__simps_I29_J,axiom,
% 202.58/202.70 ! [V_k_2] :
% 202.58/202.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls))
% 202.58/202.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_one__is__num__one,axiom,
% 202.58/202.70 c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_Numeral1__eq1__nat,axiom,
% 202.58/202.70 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_nat__numeral__1__eq__1,axiom,
% 202.58/202.70 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_diff__bin__simps_I4_J,axiom,
% 202.58/202.70 ! [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)) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_minus__Min,axiom,
% 202.58/202.70 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OMin) = c_Int_OBit1(c_Int_OPls) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I8_J,axiom,
% 202.58/202.70 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_not__iszero__Numeral1,axiom,
% 202.58/202.70 ! [T_a] :
% 202.58/202.70 ( class_Int_Onumber__ring(T_a)
% 202.58/202.70 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_numeral__1__eq__Suc__0,axiom,
% 202.58/202.70 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)) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_numeral__3__eq__3,axiom,
% 202.58/202.70 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)))) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_power3__eq__cube,axiom,
% 202.58/202.70 ! [V_a,T_a] :
% 202.58/202.70 ( class_Groups_Omonoid__mult(T_a)
% 202.58/202.70 => 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) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J,axiom,
% 202.58/202.70 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))))) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_Suc3__eq__add__3,axiom,
% 202.58/202.70 ! [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) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_transfer__int__nat__numerals_I4_J,axiom,
% 202.58/202.70 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)))) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_transfer__nat__int__numerals_I4_J,axiom,
% 202.58/202.70 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)))) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_le__special_I2_J,axiom,
% 202.58/202.70 ! [V_y_2,T_b] :
% 202.58/202.70 ( ( class_Int_Onumber__ring(T_b)
% 202.58/202.70 & class_Rings_Olinordered__idom(T_b) )
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Oone__class_Oone(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)))
% 202.58/202.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_le__special_I4_J,axiom,
% 202.58/202.70 ! [V_x_2,T_b] :
% 202.58/202.70 ( ( class_Int_Onumber__ring(T_b)
% 202.58/202.70 & class_Rings_Olinordered__idom(T_b) )
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),c_Groups_Oone__class_Oone(T_b)))
% 202.58/202.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_less__special_I2_J,axiom,
% 202.58/202.70 ! [V_y_2,T_b] :
% 202.58/202.70 ( ( class_Int_Onumber__ring(T_b)
% 202.58/202.70 & class_Rings_Olinordered__idom(T_b) )
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)))
% 202.58/202.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_less__special_I4_J,axiom,
% 202.58/202.70 ! [V_x_2,T_b] :
% 202.58/202.70 ( ( class_Int_Onumber__ring(T_b)
% 202.58/202.70 & class_Rings_Olinordered__idom(T_b) )
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),c_Groups_Oone__class_Oone(T_b)))
% 202.58/202.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_add__special_I3_J,axiom,
% 202.58/202.70 ! [V_v,T_a] :
% 202.58/202.70 ( class_Int_Onumber__ring(T_a)
% 202.58/202.70 => 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))) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_add__special_I2_J,axiom,
% 202.58/202.70 ! [V_w,T_a] :
% 202.58/202.70 ( class_Int_Onumber__ring(T_a)
% 202.58/202.70 => 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)) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_Suc__diff__eq__diff__pred,axiom,
% 202.58/202.70 ! [V_m,V_n] :
% 202.58/202.70 ( 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))
% 202.58/202.70 => 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)))) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_Suc__mod__eq__add3__mod__number__of,axiom,
% 202.58/202.70 ! [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)) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_Suc__mod__eq__add3__mod,axiom,
% 202.58/202.70 ! [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) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_mod__Suc__eq__mod__add3,axiom,
% 202.58/202.70 ! [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)) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_Suc__div__eq__add3__div__number__of,axiom,
% 202.58/202.70 ! [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)) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_Suc__div__eq__add3__div,axiom,
% 202.58/202.70 ! [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) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_div__Suc__eq__div__add3,axiom,
% 202.58/202.70 ! [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)) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_zmod__number__of__Bit1,axiom,
% 202.58/202.70 ! [V_v,V_w] :
% 202.58/202.70 ( ( 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)))
% 202.58/202.70 => 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)) )
% 202.58/202.70 & ( ~ 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)))
% 202.58/202.70 => 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)) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_neg__zmod__mult__2,axiom,
% 202.58/202.70 ! [V_b,V_a] :
% 202.58/202.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 202.58/202.70 => 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)) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_neg__zdiv__mult__2,axiom,
% 202.58/202.70 ! [V_b,V_a] :
% 202.58/202.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 202.58/202.70 => 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) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_pos__zdiv__mult__2,axiom,
% 202.58/202.70 ! [V_b,V_a] :
% 202.58/202.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 202.58/202.70 => 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) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_pos__zmod__mult__2,axiom,
% 202.58/202.70 ! [V_b,V_a] :
% 202.58/202.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 202.58/202.70 => 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))) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_rel__simps_I49_J,axiom,
% 202.58/202.70 ! [V_l,V_k] : c_Int_OBit0(V_k) != c_Int_OBit1(V_l) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_rel__simps_I50_J,axiom,
% 202.58/202.70 ! [V_l,V_k] : c_Int_OBit1(V_k) != c_Int_OBit0(V_l) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_Bit0__Pls,axiom,
% 202.58/202.70 c_Int_OBit0(c_Int_OPls) = c_Int_OPls ).
% 202.58/202.70
% 202.58/202.70 fof(fact_rel__simps_I38_J,axiom,
% 202.58/202.70 ! [V_l_2] :
% 202.58/202.70 ( c_Int_OPls = c_Int_OBit0(V_l_2)
% 202.58/202.70 <=> c_Int_OPls = V_l_2 ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_rel__simps_I44_J,axiom,
% 202.58/202.70 ! [V_k_2] :
% 202.58/202.70 ( c_Int_OBit0(V_k_2) = c_Int_OPls
% 202.58/202.70 <=> V_k_2 = c_Int_OPls ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_diff__bin__simps_I7_J,axiom,
% 202.58/202.70 ! [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)) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_minus__Bit0,axiom,
% 202.58/202.70 ! [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)) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_add__Bit0__Bit0,axiom,
% 202.58/202.70 ! [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)) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_Bit0__def,axiom,
% 202.58/202.70 ! [V_k] : c_Int_OBit0(V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_k) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_mult__Bit0,axiom,
% 202.58/202.70 ! [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)) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_rel__simps_I48_J,axiom,
% 202.58/202.70 ! [V_l_2,V_k_2] :
% 202.58/202.70 ( c_Int_OBit0(V_k_2) = c_Int_OBit0(V_l_2)
% 202.58/202.70 <=> V_k_2 = V_l_2 ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_less__int__code_I13_J,axiom,
% 202.58/202.70 ! [V_k2_2,V_k1_2] :
% 202.58/202.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 202.58/202.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_rel__simps_I14_J,axiom,
% 202.58/202.70 ! [V_l_2,V_k_2] :
% 202.58/202.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2)))
% 202.58/202.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_less__eq__int__code_I13_J,axiom,
% 202.58/202.70 ! [V_k2_2,V_k1_2] :
% 202.58/202.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 202.58/202.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_rel__simps_I31_J,axiom,
% 202.58/202.70 ! [V_l_2,V_k_2] :
% 202.58/202.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2)))
% 202.58/202.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_rel__simps_I42_J,axiom,
% 202.58/202.70 ! [V_l] : c_Int_OMin != c_Int_OBit0(V_l) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_rel__simps_I45_J,axiom,
% 202.58/202.70 ! [V_k] : c_Int_OBit0(V_k) != c_Int_OMin ).
% 202.58/202.70
% 202.58/202.70 fof(fact_bin__less__0__simps_I3_J,axiom,
% 202.58/202.70 ! [V_w_2] :
% 202.58/202.70 ( 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)))
% 202.58/202.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_rel__simps_I21_J,axiom,
% 202.58/202.70 ! [V_k_2] :
% 202.58/202.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2)))
% 202.58/202.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_rel__simps_I27_J,axiom,
% 202.58/202.70 ! [V_k_2] :
% 202.58/202.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls))
% 202.58/202.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_rel__simps_I32_J,axiom,
% 202.58/202.70 ! [V_l_2,V_k_2] :
% 202.58/202.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2)))
% 202.58/202.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_less__eq__int__code_I14_J,axiom,
% 202.58/202.70 ! [V_k2_2,V_k1_2] :
% 202.58/202.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 202.58/202.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_rel__simps_I4_J,axiom,
% 202.58/202.70 ! [V_k_2] :
% 202.58/202.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2)))
% 202.58/202.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_rel__simps_I10_J,axiom,
% 202.58/202.70 ! [V_k_2] :
% 202.58/202.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls))
% 202.58/202.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_rel__simps_I16_J,axiom,
% 202.58/202.70 ! [V_l_2,V_k_2] :
% 202.58/202.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2)))
% 202.58/202.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_less__int__code_I15_J,axiom,
% 202.58/202.70 ! [V_k2_2,V_k1_2] :
% 202.58/202.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 202.58/202.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_add__Bit1__Bit0,axiom,
% 202.58/202.70 ! [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)) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_add__Bit0__Bit1,axiom,
% 202.58/202.70 ! [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)) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_diff__bin__simps_I3_J,axiom,
% 202.58/202.70 ! [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)) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_diff__bin__simps_I9_J,axiom,
% 202.58/202.70 ! [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)) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_diff__bin__simps_I10_J,axiom,
% 202.58/202.70 ! [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)) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_rel__simps_I28_J,axiom,
% 202.58/202.70 ! [V_k_2] :
% 202.58/202.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin))
% 202.58/202.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_rel__simps_I8_J,axiom,
% 202.58/202.70 ! [V_k_2] :
% 202.58/202.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2)))
% 202.58/202.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_zdiv__number__of__Bit0,axiom,
% 202.58/202.70 ! [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)) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_neg__number__of__Bit0,axiom,
% 202.58/202.70 ! [V_w_2] :
% 202.58/202.70 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w_2))))
% 202.58/202.70 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_pred__Bit1,axiom,
% 202.58/202.70 ! [V_k] : c_Int_Opred(c_Int_OBit1(V_k)) = c_Int_OBit0(V_k) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_pred__Bit0,axiom,
% 202.58/202.70 ! [V_k] : c_Int_Opred(c_Int_OBit0(V_k)) = c_Int_OBit1(c_Int_Opred(V_k)) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_pred__Min,axiom,
% 202.58/202.70 c_Int_Opred(c_Int_OMin) = c_Int_OBit0(c_Int_OMin) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_iszero__number__of__Bit0,axiom,
% 202.58/202.70 ! [V_w_2,T_b] :
% 202.58/202.70 ( ( class_Int_Onumber__ring(T_b)
% 202.58/202.70 & class_Int_Oring__char__0(T_b) )
% 202.58/202.70 => ( c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),c_Int_OBit0(V_w_2)))
% 202.58/202.70 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_succ__Bit0,axiom,
% 202.58/202.70 ! [V_k] : c_Int_Osucc(c_Int_OBit0(V_k)) = c_Int_OBit1(V_k) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_succ__Bit1,axiom,
% 202.58/202.70 ! [V_k] : c_Int_Osucc(c_Int_OBit1(V_k)) = c_Int_OBit0(c_Int_Osucc(V_k)) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_number__of__Bit0,axiom,
% 202.58/202.70 ! [V_w,T_a] :
% 202.58/202.70 ( class_Int_Onumber__ring(T_a)
% 202.58/202.70 => 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)) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_less__eq__int__code_I15_J,axiom,
% 202.58/202.70 ! [V_k2_2,V_k1_2] :
% 202.58/202.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 202.58/202.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_rel__simps_I33_J,axiom,
% 202.58/202.70 ! [V_l_2,V_k_2] :
% 202.58/202.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2)))
% 202.58/202.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_less__int__code_I14_J,axiom,
% 202.58/202.70 ! [V_k2_2,V_k1_2] :
% 202.58/202.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 202.58/202.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_rel__simps_I15_J,axiom,
% 202.58/202.70 ! [V_l_2,V_k_2] :
% 202.58/202.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2)))
% 202.58/202.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_card__UNIV__bool,axiom,
% 202.58/202.70 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))) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_mult__Bit1,axiom,
% 202.58/202.70 ! [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) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_rel__simps_I11_J,axiom,
% 202.58/202.70 ! [V_k_2] :
% 202.58/202.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin))
% 202.58/202.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_rel__simps_I25_J,axiom,
% 202.58/202.70 ! [V_k_2] :
% 202.58/202.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2)))
% 202.58/202.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_diff__bin__simps_I6_J,axiom,
% 202.58/202.70 ! [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)) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_diff__bin__simps_I5_J,axiom,
% 202.58/202.70 ! [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)) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_diff__bin__simps_I8_J,axiom,
% 202.58/202.70 ! [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)) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_add__Bit1__Bit1,axiom,
% 202.58/202.70 ! [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))) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_double__number__of__Bit0,axiom,
% 202.58/202.70 ! [V_w,T_a] :
% 202.58/202.70 ( class_Int_Onumber__ring(T_a)
% 202.58/202.70 => 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)) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_number__of1,axiom,
% 202.58/202.70 ! [V_n] :
% 202.58/202.70 ( 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)))
% 202.58/202.70 => ( 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))))
% 202.58/202.70 & 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)))) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I7_J,axiom,
% 202.58/202.70 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_mult__2,axiom,
% 202.58/202.70 ! [V_z,T_a] :
% 202.58/202.70 ( class_Int_Onumber__ring(T_a)
% 202.58/202.70 => 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) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_mult__2__right,axiom,
% 202.58/202.70 ! [V_z,T_a] :
% 202.58/202.70 ( class_Int_Onumber__ring(T_a)
% 202.58/202.70 => 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) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_one__add__one__is__two,axiom,
% 202.58/202.70 ! [T_a] :
% 202.58/202.70 ( class_Int_Onumber__ring(T_a)
% 202.58/202.70 => 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))) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_zero__eq__power2,axiom,
% 202.58/202.70 ! [V_a_2,T_b] :
% 202.58/202.70 ( class_Rings_Oring__1__no__zero__divisors(T_b)
% 202.58/202.70 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(T_b)
% 202.58/202.70 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_zero__power2,axiom,
% 202.58/202.70 ! [T_a] :
% 202.58/202.70 ( class_Rings_Osemiring__1(T_a)
% 202.58/202.70 => 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) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_semiring__norm_I115_J,axiom,
% 202.58/202.70 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))) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_numeral__2__eq__2,axiom,
% 202.58/202.70 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))) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J,axiom,
% 202.58/202.70 ! [V_x,T_a] :
% 202.58/202.70 ( class_Rings_Ocomm__semiring__1(T_a)
% 202.58/202.70 => 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)))) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_power2__eq__square,axiom,
% 202.58/202.70 ! [V_a,T_a] :
% 202.58/202.70 ( class_Groups_Omonoid__mult(T_a)
% 202.58/202.70 => 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) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J,axiom,
% 202.58/202.70 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))))) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_add__2__eq__Suc_H,axiom,
% 202.58/202.70 ! [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)) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_add__2__eq__Suc,axiom,
% 202.58/202.70 ! [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)) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_one__power2,axiom,
% 202.58/202.70 ! [T_a] :
% 202.58/202.70 ( class_Rings_Osemiring__1(T_a)
% 202.58/202.70 => 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) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_power2__minus,axiom,
% 202.58/202.70 ! [V_a,T_a] :
% 202.58/202.70 ( class_Rings_Oring__1(T_a)
% 202.58/202.70 => 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)))) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_nat__mult__2,axiom,
% 202.58/202.70 ! [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) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_nat__mult__2__right,axiom,
% 202.58/202.70 ! [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) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_power__even__eq,axiom,
% 202.58/202.70 ! [V_n,V_a,T_a] :
% 202.58/202.70 ( class_Groups_Omonoid__mult(T_a)
% 202.58/202.70 => 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)))) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_transfer__int__nat__numerals_I3_J,axiom,
% 202.58/202.70 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)))) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_transfer__nat__int__numerals_I3_J,axiom,
% 202.58/202.70 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)))) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_abs__power2,axiom,
% 202.58/202.70 ! [V_a,T_a] :
% 202.58/202.70 ( class_Rings_Olinordered__idom(T_a)
% 202.58/202.70 => 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)))) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_power2__abs,axiom,
% 202.58/202.70 ! [V_a,T_a] :
% 202.58/202.70 ( class_Rings_Olinordered__idom(T_a)
% 202.58/202.70 => 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)))) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_nat__1__add__1,axiom,
% 202.58/202.70 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))) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_mod2__Suc__Suc,axiom,
% 202.58/202.70 ! [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)))) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_div2__Suc__Suc,axiom,
% 202.58/202.70 ! [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))))) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_zmod__number__of__Bit0,axiom,
% 202.58/202.70 ! [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))) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_add__self__div__2,axiom,
% 202.58/202.70 ! [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 ).
% 202.58/202.70
% 202.58/202.70 fof(fact_zero__le__power2,axiom,
% 202.58/202.70 ! [V_a,T_a] :
% 202.58/202.70 ( class_Rings_Olinordered__idom(T_a)
% 202.58/202.70 => 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)))))) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_power2__le__imp__le,axiom,
% 202.58/202.70 ! [V_y,V_x,T_a] :
% 202.58/202.70 ( class_Rings_Olinordered__semidom(T_a)
% 202.58/202.70 => ( 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))))))
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 202.58/202.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_power2__eq__imp__eq,axiom,
% 202.58/202.70 ! [V_y,V_x,T_a] :
% 202.58/202.70 ( class_Rings_Olinordered__semidom(T_a)
% 202.58/202.70 => ( 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))))
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 202.58/202.70 => V_x = V_y ) ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_zero__less__power2,axiom,
% 202.58/202.70 ! [V_a_2,T_b] :
% 202.58/202.70 ( class_Rings_Olinordered__idom(T_b)
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
% 202.58/202.70 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_power2__less__0,axiom,
% 202.58/202.70 ! [V_a,T_a] :
% 202.58/202.70 ( class_Rings_Olinordered__idom(T_a)
% 202.58/202.70 => ~ 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))) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_sum__power2__eq__zero__iff,axiom,
% 202.58/202.70 ! [V_y_2,V_x_2,T_b] :
% 202.58/202.70 ( class_Rings_Olinordered__idom(T_b)
% 202.58/202.70 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_x_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_y_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Ozero__class_Ozero(T_b)
% 202.58/202.70 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 202.58/202.70 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_power2__eq__square__number__of,axiom,
% 202.58/202.70 ! [V_w,T_b] :
% 202.58/202.70 ( ( class_Groups_Omonoid__mult(T_b)
% 202.58/202.70 & class_Int_Onumber(T_b) )
% 202.58/202.70 => 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)) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_less__2__cases,axiom,
% 202.58/202.70 ! [V_n] :
% 202.58/202.70 ( 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)))))
% 202.58/202.70 => ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.58/202.70 | V_n = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_nat__2,axiom,
% 202.58/202.70 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))) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_power2__eq__1__iff,axiom,
% 202.58/202.70 ! [V_a_2,T_b] :
% 202.58/202.70 ( class_Rings_Oring__1__no__zero__divisors(T_b)
% 202.58/202.70 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(T_b)
% 202.58/202.70 <=> ( V_a_2 = c_Groups_Oone__class_Oone(T_b)
% 202.58/202.70 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b)) ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J,axiom,
% 202.58/202.70 ! [V_n,V_x,T_a] :
% 202.58/202.70 ( class_Rings_Ocomm__semiring__1(T_a)
% 202.58/202.70 => 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)) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_power__minus__even,axiom,
% 202.58/202.70 ! [V_n,V_a,T_a] :
% 202.58/202.70 ( class_Rings_Oring__1(T_a)
% 202.58/202.70 => 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)) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_power2__less__imp__less,axiom,
% 202.58/202.70 ! [V_y,V_x,T_a] :
% 202.58/202.70 ( class_Rings_Olinordered__semidom(T_a)
% 202.58/202.70 => ( 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))))))
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 202.58/202.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_sum__power2__le__zero__iff,axiom,
% 202.58/202.70 ! [V_y_2,V_x_2,T_b] :
% 202.58/202.70 ( class_Rings_Olinordered__idom(T_b)
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_x_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_y_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),c_Groups_Ozero__class_Ozero(T_b)))
% 202.58/202.70 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 202.58/202.70 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_sum__power2__ge__zero,axiom,
% 202.58/202.70 ! [V_y,V_x,T_a] :
% 202.58/202.70 ( class_Rings_Olinordered__idom(T_a)
% 202.58/202.70 => 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))))))) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_sum__power2__gt__zero__iff,axiom,
% 202.58/202.70 ! [V_y_2,V_x_2,T_b] :
% 202.58/202.70 ( class_Rings_Olinordered__idom(T_b)
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_x_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_y_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))
% 202.58/202.70 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_b)
% 202.58/202.70 | V_y_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_not__sum__power2__lt__zero,axiom,
% 202.58/202.70 ! [V_y,V_x,T_a] :
% 202.58/202.70 ( class_Rings_Olinordered__idom(T_a)
% 202.58/202.70 => ~ 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))) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_power2__sum,axiom,
% 202.58/202.70 ! [V_y,V_x,T_a] :
% 202.58/202.70 ( class_Int_Onumber__ring(T_a)
% 202.58/202.70 => 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)) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_zero__le__even__power_H,axiom,
% 202.58/202.70 ! [V_n,V_a,T_a] :
% 202.58/202.70 ( class_Rings_Olinordered__idom(T_a)
% 202.58/202.70 => 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)))) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_power__odd__eq,axiom,
% 202.58/202.70 ! [V_n,V_a,T_a] :
% 202.58/202.70 ( class_Groups_Omonoid__mult(T_a)
% 202.58/202.70 => 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))))) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I37_J,axiom,
% 202.58/202.70 ! [V_n,V_x,T_a] :
% 202.58/202.70 ( class_Rings_Ocomm__semiring__1(T_a)
% 202.58/202.70 => 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))) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_power__minus1__even,axiom,
% 202.58/202.70 ! [V_n,T_a] :
% 202.58/202.70 ( class_Rings_Oring__1(T_a)
% 202.58/202.70 => 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) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_zdiv__number__of__Bit1,axiom,
% 202.58/202.70 ! [V_v,V_w] :
% 202.58/202.70 ( ( 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)))
% 202.58/202.70 => 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)) )
% 202.58/202.70 & ( ~ 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)))
% 202.58/202.70 => 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)) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_mod2__gr__0,axiom,
% 202.58/202.70 ! [V_m_2] :
% 202.58/202.70 ( 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))))))
% 202.58/202.70 <=> 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) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_div__2__gt__zero,axiom,
% 202.58/202.70 ! [V_n] :
% 202.58/202.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n))
% 202.58/202.70 => 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)))))) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_power2__diff,axiom,
% 202.58/202.70 ! [V_y,V_x,T_a] :
% 202.58/202.70 ( class_Int_Onumber__ring(T_a)
% 202.58/202.70 => 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)) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_odd__0__le__power__imp__0__le,axiom,
% 202.58/202.70 ! [V_n,V_a,T_a] :
% 202.58/202.70 ( class_Rings_Olinordered__idom(T_a)
% 202.58/202.70 => ( 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)))))
% 202.58/202.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_odd__power__less__zero,axiom,
% 202.58/202.70 ! [V_n,V_a,T_a] :
% 202.58/202.70 ( class_Rings_Olinordered__idom(T_a)
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 202.58/202.70 => 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))) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_power__minus1__odd,axiom,
% 202.58/202.70 ! [V_n,T_a] :
% 202.58/202.70 ( class_Rings_Oring__1(T_a)
% 202.58/202.70 => 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)) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_power__m1__even,axiom,
% 202.58/202.70 ! [V_n,T_a] :
% 202.58/202.70 ( class_Int_Onumber__ring(T_a)
% 202.58/202.70 => 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) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_power__m1__odd,axiom,
% 202.58/202.70 ! [V_n,T_a] :
% 202.58/202.70 ( class_Int_Onumber__ring(T_a)
% 202.58/202.70 => 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) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_Suc__n__div__2__gt__zero,axiom,
% 202.58/202.70 ! [V_n] :
% 202.58/202.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 202.58/202.70 => 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)))))) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_of__nat__double,axiom,
% 202.58/202.70 ! [V_x,T_a] :
% 202.58/202.70 ( class_Rings_Osemiring__1(T_a)
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 202.58/202.70 => 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))) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_int__of__code,axiom,
% 202.58/202.70 ! [V_k] :
% 202.58/202.70 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 202.58/202.70 => hAPP(c_Code__Numeral_Oint__of,V_k) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 202.58/202.70 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 202.58/202.70 => ( ( 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)
% 202.58/202.70 => 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)))))) )
% 202.58/202.70 & ( 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)
% 202.58/202.70 => 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)) ) ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_one__code__numeral__code,axiom,
% 202.58/202.70 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)) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_half__gt__zero,axiom,
% 202.58/202.70 ! [V_r,T_a] :
% 202.58/202.70 ( ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 202.58/202.70 & class_Int_Onumber__ring(T_a) )
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_r))
% 202.58/202.70 => 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)))))) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_half__gt__zero__iff,axiom,
% 202.58/202.70 ! [V_r_2,T_b] :
% 202.58/202.70 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 202.58/202.70 & class_Int_Onumber__ring(T_b) )
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_r_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
% 202.58/202.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_r_2)) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_folding__image__simple_Ounion__inter__neutral,axiom,
% 202.58/202.70 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 202.58/202.70 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 202.58/202.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 202.58/202.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 202.58/202.70 => ( ! [B_x] :
% 202.58/202.70 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)))
% 202.58/202.70 => hAPP(V_g_2,B_x) = V_z_2 )
% 202.58/202.70 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_divide__zero,axiom,
% 202.58/202.70 ! [V_a,T_a] :
% 202.58/202.70 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 202.58/202.70 => 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) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_divide__zero__left,axiom,
% 202.58/202.70 ! [V_a,T_a] :
% 202.58/202.70 ( class_Rings_Odivision__ring(T_a)
% 202.58/202.70 => 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) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_code__numeral__zero__minus__one,axiom,
% 202.58/202.70 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) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_minus__divide__left,axiom,
% 202.58/202.70 ! [V_b,V_a,T_a] :
% 202.58/202.70 ( class_Rings_Odivision__ring(T_a)
% 202.58/202.70 => 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) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_divide__1,axiom,
% 202.58/202.70 ! [V_a,T_a] :
% 202.58/202.70 ( class_Rings_Odivision__ring(T_a)
% 202.58/202.70 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_diff__divide__distrib,axiom,
% 202.58/202.70 ! [V_c,V_b,V_a,T_a] :
% 202.58/202.70 ( class_Rings_Odivision__ring(T_a)
% 202.58/202.70 => 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)) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_times__divide__eq__right,axiom,
% 202.58/202.70 ! [V_c,V_b,V_a,T_a] :
% 202.58/202.70 ( class_Rings_Odivision__ring(T_a)
% 202.58/202.70 => 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) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_add__divide__distrib,axiom,
% 202.58/202.70 ! [V_c,V_b,V_a,T_a] :
% 202.58/202.70 ( class_Rings_Odivision__ring(T_a)
% 202.58/202.70 => 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)) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_power__divide,axiom,
% 202.58/202.70 ! [V_n,V_b,V_a,T_a] :
% 202.58/202.70 ( class_Fields_Ofield__inverse__zero(T_a)
% 202.58/202.70 => 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)) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_nonzero__eq__divide__eq,axiom,
% 202.58/202.70 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 202.58/202.70 ( class_Rings_Odivision__ring(T_b)
% 202.58/202.70 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 202.58/202.70 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)
% 202.58/202.70 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) = V_b_2 ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_nonzero__divide__eq__eq,axiom,
% 202.58/202.70 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 202.58/202.70 ( class_Rings_Odivision__ring(T_b)
% 202.58/202.70 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 202.58/202.70 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) = V_a_2
% 202.58/202.70 <=> V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_divide__eq__imp,axiom,
% 202.58/202.70 ! [V_a,V_b,V_c,T_a] :
% 202.58/202.70 ( class_Rings_Odivision__ring(T_a)
% 202.58/202.70 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 202.58/202.70 => ( V_b = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)
% 202.58/202.70 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) = V_a ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_eq__divide__imp,axiom,
% 202.58/202.70 ! [V_b,V_a,V_c,T_a] :
% 202.58/202.70 ( class_Rings_Odivision__ring(T_a)
% 202.58/202.70 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 202.58/202.70 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c) = V_b
% 202.58/202.70 => V_a = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_right__inverse__eq,axiom,
% 202.58/202.70 ! [V_a_2,V_b_2,T_b] :
% 202.58/202.70 ( class_Rings_Odivision__ring(T_b)
% 202.58/202.70 => ( V_b_2 != c_Groups_Ozero__class_Ozero(T_b)
% 202.58/202.70 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_b_2) = c_Groups_Oone__class_Oone(T_b)
% 202.58/202.70 <=> V_a_2 = V_b_2 ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_divide__self,axiom,
% 202.58/202.70 ! [V_a,T_a] :
% 202.58/202.70 ( class_Rings_Odivision__ring(T_a)
% 202.58/202.70 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 202.58/202.70 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_divide__self__if,axiom,
% 202.58/202.70 ! [V_a,T_a] :
% 202.58/202.70 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 202.58/202.70 => ( ( V_a = c_Groups_Ozero__class_Ozero(T_a)
% 202.58/202.70 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) )
% 202.58/202.70 & ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 202.58/202.70 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_nonzero__minus__divide__right,axiom,
% 202.58/202.70 ! [V_a,V_b,T_a] :
% 202.58/202.70 ( class_Rings_Odivision__ring(T_a)
% 202.58/202.70 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 202.58/202.70 => 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)) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_nonzero__minus__divide__divide,axiom,
% 202.58/202.70 ! [V_a,V_b,T_a] :
% 202.58/202.70 ( class_Rings_Odivision__ring(T_a)
% 202.58/202.70 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 202.58/202.70 => 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) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_nonzero__power__divide,axiom,
% 202.58/202.70 ! [V_n,V_a,V_b,T_a] :
% 202.58/202.70 ( class_Fields_Ofield(T_a)
% 202.58/202.70 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 202.58/202.70 => 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)) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_power__one__over,axiom,
% 202.58/202.70 ! [V_n,V_a,T_a] :
% 202.58/202.70 ( class_Fields_Ofield__inverse__zero(T_a)
% 202.58/202.70 => 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) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_eq__divide__eq__number__of1,axiom,
% 202.58/202.70 ! [V_w_2,V_b_2,V_a_2,T_b] :
% 202.58/202.70 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 202.58/202.70 & class_Int_Onumber(T_b) )
% 202.58/202.70 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))
% 202.58/202.70 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) != c_Groups_Ozero__class_Ozero(T_b)
% 202.58/202.70 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) = V_b_2 )
% 202.58/202.70 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b)
% 202.58/202.70 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_eq__divide__eq__number__of,axiom,
% 202.58/202.70 ! [V_c_2,V_b_2,V_w_2,T_b] :
% 202.58/202.70 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 202.58/202.70 & class_Int_Onumber(T_b) )
% 202.58/202.70 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)
% 202.58/202.70 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 202.58/202.70 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2) = V_b_2 )
% 202.58/202.70 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 202.58/202.70 => hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_divide__eq__eq__number__of,axiom,
% 202.58/202.70 ! [V_w_2,V_c_2,V_b_2,T_b] :
% 202.58/202.70 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 202.58/202.70 & class_Int_Onumber(T_b) )
% 202.58/202.70 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)
% 202.58/202.70 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 202.58/202.70 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2) )
% 202.58/202.70 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 202.58/202.70 => hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_divide__eq__eq__number__of1,axiom,
% 202.58/202.70 ! [V_a_2,V_w_2,V_b_2,T_b] :
% 202.58/202.70 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 202.58/202.70 & class_Int_Onumber(T_b) )
% 202.58/202.70 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) = V_a_2
% 202.58/202.70 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) != c_Groups_Ozero__class_Ozero(T_b)
% 202.58/202.70 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) )
% 202.58/202.70 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b)
% 202.58/202.70 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_divide__Numeral0,axiom,
% 202.58/202.70 ! [V_x,T_a] :
% 202.58/202.70 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 202.58/202.70 & class_Int_Onumber__ring(T_a) )
% 202.58/202.70 => 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) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_divide__Numeral1,axiom,
% 202.58/202.70 ! [V_x,T_a] :
% 202.58/202.70 ( ( class_Fields_Ofield(T_a)
% 202.58/202.70 & class_Int_Onumber__ring(T_a) )
% 202.58/202.70 => 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 ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_divide__numeral__1,axiom,
% 202.58/202.70 ! [V_a,T_a] :
% 202.58/202.70 ( ( class_Fields_Ofield(T_a)
% 202.58/202.70 & class_Int_Onumber__ring(T_a) )
% 202.58/202.70 => 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 ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_divide__minus1,axiom,
% 202.58/202.70 ! [V_x,T_a] :
% 202.58/202.70 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 202.58/202.70 & class_Int_Onumber__ring(T_a) )
% 202.58/202.70 => 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) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_zero__code__numeral__code,axiom,
% 202.58/202.70 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) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_less__divide__eq__number__of1,axiom,
% 202.58/202.70 ! [V_w_2,V_b_2,V_a_2,T_b] :
% 202.58/202.70 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 202.58/202.70 & class_Int_Onumber(T_b) )
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))))
% 202.58/202.70 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 202.58/202.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_b_2)) )
% 202.58/202.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 202.58/202.70 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 202.58/202.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))) )
% 202.58/202.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 202.58/202.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_less__divide__eq__number__of,axiom,
% 202.58/202.70 ! [V_c_2,V_b_2,V_w_2,T_b] :
% 202.58/202.70 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 202.58/202.70 & class_Int_Onumber(T_b) )
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)))
% 202.58/202.70 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 202.58/202.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2)),V_b_2)) )
% 202.58/202.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 202.58/202.70 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 202.58/202.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2))) )
% 202.58/202.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 202.58/202.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_divide__less__eq__number__of,axiom,
% 202.58/202.70 ! [V_w_2,V_c_2,V_b_2,T_b] :
% 202.58/202.70 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 202.58/202.70 & class_Int_Onumber(T_b) )
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 202.58/202.70 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 202.58/202.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2))) )
% 202.58/202.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 202.58/202.70 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 202.58/202.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2)),V_b_2)) )
% 202.58/202.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 202.58/202.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))) ) ) ) ) ) ) ).
% 202.58/202.70
% 202.58/202.70 fof(fact_divide__less__eq__number__of1,axiom,
% 202.58/202.70 ! [V_a_2,V_w_2,V_b_2,T_b] :
% 202.58/202.70 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 202.58/202.70 & class_Int_Onumber(T_b) )
% 202.58/202.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_a_2))
% 202.58/202.70 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 202.58/202.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))) )
% 202.58/202.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 202.58/202.70 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 202.58/202.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_b_2)) )
% 202.58/202.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 202.58/202.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_power__diff,axiom,
% 202.58/202.71 ! [V_m,V_n,V_a,T_a] :
% 202.58/202.71 ( class_Fields_Ofield(T_a)
% 202.58/202.71 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 202.58/202.71 => 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)) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_minus1__divide,axiom,
% 202.58/202.71 ! [V_x,T_a] :
% 202.58/202.71 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 202.58/202.71 & class_Int_Onumber__ring(T_a) )
% 202.58/202.71 => 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)) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_le__divide__eq__number__of1,axiom,
% 202.58/202.71 ! [V_w_2,V_b_2,V_a_2,T_b] :
% 202.58/202.71 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 202.58/202.71 & class_Int_Onumber(T_b) )
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))))
% 202.58/202.71 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_b_2)) )
% 202.58/202.71 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 202.58/202.71 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))) )
% 202.58/202.71 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_le__divide__eq__number__of,axiom,
% 202.58/202.71 ! [V_c_2,V_b_2,V_w_2,T_b] :
% 202.58/202.71 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 202.58/202.71 & class_Int_Onumber(T_b) )
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)))
% 202.58/202.71 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2)),V_b_2)) )
% 202.58/202.71 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 202.58/202.71 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2))) )
% 202.58/202.71 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_divide__le__eq__number__of,axiom,
% 202.58/202.71 ! [V_w_2,V_c_2,V_b_2,T_b] :
% 202.58/202.71 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 202.58/202.71 & class_Int_Onumber(T_b) )
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 202.58/202.71 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2))) )
% 202.58/202.71 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 202.58/202.71 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2)),V_b_2)) )
% 202.58/202.71 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))) ) ) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_divide__le__eq__number__of1,axiom,
% 202.58/202.71 ! [V_a_2,V_w_2,V_b_2,T_b] :
% 202.58/202.71 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 202.58/202.71 & class_Int_Onumber(T_b) )
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_a_2))
% 202.58/202.71 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))) )
% 202.58/202.71 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 202.58/202.71 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_b_2)) )
% 202.58/202.71 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_le__divide__eq,axiom,
% 202.58/202.71 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 202.58/202.71 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)))
% 202.58/202.71 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) )
% 202.58/202.71 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 202.58/202.71 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) )
% 202.58/202.71 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_divide__le__eq,axiom,
% 202.58/202.71 ! [V_a_2,V_c_2,V_b_2,T_b] :
% 202.58/202.71 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),V_a_2))
% 202.58/202.71 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) )
% 202.58/202.71 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 202.58/202.71 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) )
% 202.58/202.71 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_pos__le__divide__eq,axiom,
% 202.58/202.71 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 202.58/202.71 ( class_Fields_Olinordered__field(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)))
% 202.58/202.71 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_pos__divide__le__eq,axiom,
% 202.58/202.71 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 202.58/202.71 ( class_Fields_Olinordered__field(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),V_a_2))
% 202.58/202.71 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_times__divide__times__eq,axiom,
% 202.58/202.71 ! [V_w,V_z,V_y,V_x,T_a] :
% 202.58/202.71 ( class_Fields_Ofield__inverse__zero(T_a)
% 202.58/202.71 => 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)) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_minus__divide__right,axiom,
% 202.58/202.71 ! [V_b,V_a,T_a] :
% 202.58/202.71 ( class_Fields_Ofield__inverse__zero(T_a)
% 202.58/202.71 => 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)) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_minus__divide__divide,axiom,
% 202.58/202.71 ! [V_b,V_a,T_a] :
% 202.58/202.71 ( class_Fields_Ofield__inverse__zero(T_a)
% 202.58/202.71 => 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) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_abs__divide,axiom,
% 202.58/202.71 ! [V_b,V_a,T_a] :
% 202.58/202.71 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 202.58/202.71 => 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)) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_zero__le__divide__iff,axiom,
% 202.58/202.71 ! [V_b_2,V_a_2,T_b] :
% 202.58/202.71 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_b_2)))
% 202.58/202.71 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 202.58/202.71 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) )
% 202.58/202.71 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 202.58/202.71 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_divide__le__0__iff,axiom,
% 202.58/202.71 ! [V_b_2,V_a_2,T_b] :
% 202.58/202.71 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 202.58/202.71 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 202.58/202.71 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) )
% 202.58/202.71 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 202.58/202.71 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_divide__right__mono,axiom,
% 202.58/202.71 ! [V_c,V_b,V_a,T_a] :
% 202.58/202.71 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 202.58/202.71 => 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))) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_divide__right__mono__neg,axiom,
% 202.58/202.71 ! [V_c,V_b,V_a,T_a] :
% 202.58/202.71 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 202.58/202.71 => 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))) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_divide__strict__right__mono__neg,axiom,
% 202.58/202.71 ! [V_c,V_a,V_b,T_a] :
% 202.58/202.71 ( class_Fields_Olinordered__field(T_a)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 202.58/202.71 => 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))) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_divide__strict__right__mono,axiom,
% 202.58/202.71 ! [V_c,V_b,V_a,T_a] :
% 202.58/202.71 ( class_Fields_Olinordered__field(T_a)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 202.58/202.71 => 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))) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_divide__neg__neg,axiom,
% 202.58/202.71 ! [V_y,V_x,T_a] :
% 202.58/202.71 ( class_Fields_Olinordered__field(T_a)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 202.58/202.71 => 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))) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_divide__neg__pos,axiom,
% 202.58/202.71 ! [V_y,V_x,T_a] :
% 202.58/202.71 ( class_Fields_Olinordered__field(T_a)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 202.58/202.71 => 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))) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_divide__pos__neg,axiom,
% 202.58/202.71 ! [V_y,V_x,T_a] :
% 202.58/202.71 ( class_Fields_Olinordered__field(T_a)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 202.58/202.71 => 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))) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_divide__pos__pos,axiom,
% 202.58/202.71 ! [V_y,V_x,T_a] :
% 202.58/202.71 ( class_Fields_Olinordered__field(T_a)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 202.58/202.71 => 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))) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_divide__less__0__iff,axiom,
% 202.58/202.71 ! [V_b_2,V_a_2,T_b] :
% 202.58/202.71 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 202.58/202.71 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 202.58/202.71 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) )
% 202.58/202.71 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 202.58/202.71 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_zero__less__divide__iff,axiom,
% 202.58/202.71 ! [V_b_2,V_a_2,T_b] :
% 202.58/202.71 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_b_2)))
% 202.58/202.71 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 202.58/202.71 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) )
% 202.58/202.71 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 202.58/202.71 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_eq__divide__eq,axiom,
% 202.58/202.71 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 202.58/202.71 ( class_Fields_Ofield__inverse__zero(T_b)
% 202.58/202.71 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)
% 202.58/202.71 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 202.58/202.71 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) = V_b_2 )
% 202.58/202.71 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 202.58/202.71 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_divide__eq__eq,axiom,
% 202.58/202.71 ! [V_a_2,V_c_2,V_b_2,T_b] :
% 202.58/202.71 ( class_Fields_Ofield__inverse__zero(T_b)
% 202.58/202.71 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) = V_a_2
% 202.58/202.71 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 202.58/202.71 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) )
% 202.58/202.71 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 202.58/202.71 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_mult__divide__mult__cancel__right,axiom,
% 202.58/202.71 ! [V_b,V_a,V_c,T_a] :
% 202.58/202.71 ( class_Fields_Ofield__inverse__zero(T_a)
% 202.58/202.71 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 202.58/202.71 => 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) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_mult__divide__mult__cancel__left,axiom,
% 202.58/202.71 ! [V_b,V_a,V_c,T_a] :
% 202.58/202.71 ( class_Fields_Ofield__inverse__zero(T_a)
% 202.58/202.71 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 202.58/202.71 => 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) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_frac__eq__eq,axiom,
% 202.58/202.71 ! [V_w_2,V_x_2,V_z_2,V_y_2,T_b] :
% 202.58/202.71 ( class_Fields_Ofield(T_b)
% 202.58/202.71 => ( V_y_2 != c_Groups_Ozero__class_Ozero(T_b)
% 202.58/202.71 => ( V_z_2 != c_Groups_Ozero__class_Ozero(T_b)
% 202.58/202.71 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_x_2),V_y_2) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_w_2),V_z_2)
% 202.58/202.71 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_z_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_w_2),V_y_2) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_nonzero__abs__divide,axiom,
% 202.58/202.71 ! [V_a,V_b,T_a] :
% 202.58/202.71 ( class_Fields_Olinordered__field(T_a)
% 202.58/202.71 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 202.58/202.71 => 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)) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_divide__nonpos__neg,axiom,
% 202.58/202.71 ! [V_y,V_x,T_a] :
% 202.58/202.71 ( class_Fields_Olinordered__field(T_a)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 202.58/202.71 => 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))) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_divide__nonpos__pos,axiom,
% 202.58/202.71 ! [V_y,V_x,T_a] :
% 202.58/202.71 ( class_Fields_Olinordered__field(T_a)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 202.58/202.71 => 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))) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_frac__le,axiom,
% 202.58/202.71 ! [V_z,V_w,V_y,V_x,T_a] :
% 202.58/202.71 ( class_Fields_Olinordered__field(T_a)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z))
% 202.58/202.71 => 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))) ) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_frac__less,axiom,
% 202.58/202.71 ! [V_z,V_w,V_y,V_x,T_a] :
% 202.58/202.71 ( class_Fields_Olinordered__field(T_a)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z))
% 202.58/202.71 => 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))) ) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_frac__less2,axiom,
% 202.58/202.71 ! [V_z,V_w,V_y,V_x,T_a] :
% 202.58/202.71 ( class_Fields_Olinordered__field(T_a)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_w),V_z))
% 202.58/202.71 => 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))) ) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_divide__nonneg__neg,axiom,
% 202.58/202.71 ! [V_y,V_x,T_a] :
% 202.58/202.71 ( class_Fields_Olinordered__field(T_a)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 202.58/202.71 => 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))) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_divide__nonneg__pos,axiom,
% 202.58/202.71 ! [V_y,V_x,T_a] :
% 202.58/202.71 ( class_Fields_Olinordered__field(T_a)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 202.58/202.71 => 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))) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_less__divide__eq,axiom,
% 202.58/202.71 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 202.58/202.71 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)))
% 202.58/202.71 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) )
% 202.58/202.71 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 202.58/202.71 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) )
% 202.58/202.71 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_divide__less__eq,axiom,
% 202.58/202.71 ! [V_a_2,V_c_2,V_b_2,T_b] :
% 202.58/202.71 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),V_a_2))
% 202.58/202.71 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) )
% 202.58/202.71 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 202.58/202.71 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) )
% 202.58/202.71 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_pos__less__divide__eq,axiom,
% 202.58/202.71 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 202.58/202.71 ( class_Fields_Olinordered__field(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)))
% 202.58/202.71 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_pos__divide__less__eq,axiom,
% 202.58/202.71 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 202.58/202.71 ( class_Fields_Olinordered__field(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),V_a_2))
% 202.58/202.71 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_mult__imp__div__pos__less,axiom,
% 202.58/202.71 ! [V_z,V_x,V_y,T_a] :
% 202.58/202.71 ( class_Fields_Olinordered__field(T_a)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 202.58/202.71 => ( 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)))
% 202.58/202.71 => 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)) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_mult__imp__less__div__pos,axiom,
% 202.58/202.71 ! [V_x,V_z,V_y,T_a] :
% 202.58/202.71 ( class_Fields_Olinordered__field(T_a)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 202.58/202.71 => ( 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))
% 202.58/202.71 => 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))) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_neg__less__divide__eq,axiom,
% 202.58/202.71 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 202.58/202.71 ( class_Fields_Olinordered__field(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)))
% 202.58/202.71 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_neg__divide__less__eq,axiom,
% 202.58/202.71 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 202.58/202.71 ( class_Fields_Olinordered__field(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),V_a_2))
% 202.58/202.71 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_divide__strict__left__mono,axiom,
% 202.58/202.71 ! [V_c,V_a,V_b,T_a] :
% 202.58/202.71 ( class_Fields_Olinordered__field(T_a)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 202.58/202.71 => ( 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)))
% 202.58/202.71 => 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))) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_divide__strict__left__mono__neg,axiom,
% 202.58/202.71 ! [V_c,V_b,V_a,T_a] :
% 202.58/202.71 ( class_Fields_Olinordered__field(T_a)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 202.58/202.71 => ( 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)))
% 202.58/202.71 => 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))) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_add__frac__eq,axiom,
% 202.58/202.71 ! [V_w,V_x,V_z,V_y,T_a] :
% 202.58/202.71 ( class_Fields_Ofield(T_a)
% 202.58/202.71 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 202.58/202.71 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 202.58/202.71 => 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)) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_divide__add__eq__iff,axiom,
% 202.58/202.71 ! [V_y,V_x,V_z,T_a] :
% 202.58/202.71 ( class_Fields_Ofield(T_a)
% 202.58/202.71 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 202.58/202.71 => 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) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_add__frac__num,axiom,
% 202.58/202.71 ! [V_z,V_x,V_y,T_a] :
% 202.58/202.71 ( class_Fields_Ofield__inverse__zero(T_a)
% 202.58/202.71 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 202.58/202.71 => 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) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_add__divide__eq__iff,axiom,
% 202.58/202.71 ! [V_y,V_x,V_z,T_a] :
% 202.58/202.71 ( class_Fields_Ofield(T_a)
% 202.58/202.71 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 202.58/202.71 => 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) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_add__num__frac,axiom,
% 202.58/202.71 ! [V_x,V_z,V_y,T_a] :
% 202.58/202.71 ( class_Fields_Ofield__inverse__zero(T_a)
% 202.58/202.71 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 202.58/202.71 => 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) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_diff__frac__eq,axiom,
% 202.58/202.71 ! [V_w,V_x,V_z,V_y,T_a] :
% 202.58/202.71 ( class_Fields_Ofield(T_a)
% 202.58/202.71 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 202.58/202.71 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 202.58/202.71 => 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)) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_divide__diff__eq__iff,axiom,
% 202.58/202.71 ! [V_y,V_x,V_z,T_a] :
% 202.58/202.71 ( class_Fields_Ofield(T_a)
% 202.58/202.71 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 202.58/202.71 => 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) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_diff__divide__eq__iff,axiom,
% 202.58/202.71 ! [V_y,V_x,V_z,T_a] :
% 202.58/202.71 ( class_Fields_Ofield(T_a)
% 202.58/202.71 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 202.58/202.71 => 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) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_less__half__sum,axiom,
% 202.58/202.71 ! [V_b,V_a,T_a] :
% 202.58/202.71 ( class_Fields_Olinordered__field(T_a)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 202.58/202.71 => 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))))) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_gt__half__sum,axiom,
% 202.58/202.71 ! [V_b,V_a,T_a] :
% 202.58/202.71 ( class_Fields_Olinordered__field(T_a)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 202.58/202.71 => 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)) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_abs__div__pos,axiom,
% 202.58/202.71 ! [V_x,V_y,T_a] :
% 202.58/202.71 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 202.58/202.71 => 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)) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_divide__left__mono__neg,axiom,
% 202.58/202.71 ! [V_c,V_b,V_a,T_a] :
% 202.58/202.71 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 202.58/202.71 => ( 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)))
% 202.58/202.71 => 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))) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_divide__left__mono,axiom,
% 202.58/202.71 ! [V_c,V_a,V_b,T_a] :
% 202.58/202.71 ( class_Fields_Olinordered__field(T_a)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 202.58/202.71 => ( 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)))
% 202.58/202.71 => 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))) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_neg__divide__le__eq,axiom,
% 202.58/202.71 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 202.58/202.71 ( class_Fields_Olinordered__field(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),V_a_2))
% 202.58/202.71 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_neg__le__divide__eq,axiom,
% 202.58/202.71 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 202.58/202.71 ( class_Fields_Olinordered__field(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)))
% 202.58/202.71 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_mult__imp__le__div__pos,axiom,
% 202.58/202.71 ! [V_x,V_z,V_y,T_a] :
% 202.58/202.71 ( class_Fields_Olinordered__field(T_a)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 202.58/202.71 => ( 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))
% 202.58/202.71 => 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))) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_mult__imp__div__pos__le,axiom,
% 202.58/202.71 ! [V_z,V_x,V_y,T_a] :
% 202.58/202.71 ( class_Fields_Olinordered__field(T_a)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 202.58/202.71 => ( 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)))
% 202.58/202.71 => 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)) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_nat__of__aux__code,axiom,
% 202.58/202.71 ! [V_n,V_i] :
% 202.58/202.71 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 202.58/202.71 => c_Code__Numeral_Onat__of__aux(V_i,V_n) = V_n )
% 202.58/202.71 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 202.58/202.71 => 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)) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_code__numeral_Osize_I1_J,axiom,
% 202.58/202.71 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) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_code__numeral_Osize_I3_J,axiom,
% 202.58/202.71 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) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_setprod__diff1,axiom,
% 202.58/202.71 ! [V_a_2,V_f_2,V_A_2,T_b,T_c] :
% 202.58/202.71 ( class_Fields_Ofield(T_c)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( hAPP(V_f_2,V_a_2) != c_Groups_Ozero__class_Ozero(T_c)
% 202.58/202.71 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 202.58/202.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) )
% 202.58/202.71 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 202.58/202.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2) ) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_setprod__zero__iff,axiom,
% 202.58/202.71 ! [V_f_2,V_A_2,T_b,T_c] :
% 202.58/202.71 ( ( class_Rings_Ocomm__semiring__1(T_c)
% 202.58/202.71 & class_Rings_Ono__zero__divisors(T_c) )
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_c)
% 202.58/202.71 <=> ? [B_x] :
% 202.58/202.71 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 202.58/202.71 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_setprod__zero,axiom,
% 202.58/202.71 ! [V_f_2,V_A_2,T_b,T_c] :
% 202.58/202.71 ( class_Rings_Ocomm__semiring__1(T_c)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( ? [B_x] :
% 202.58/202.71 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 202.58/202.71 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 202.58/202.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_setprod__empty,axiom,
% 202.58/202.71 ! [V_f_2,T_c,T_b] :
% 202.58/202.71 ( class_Groups_Ocomm__monoid__mult(T_b)
% 202.58/202.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Groups_Oone__class_Oone(T_b) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_setprod_Oempty,axiom,
% 202.58/202.71 ! [V_g_2,T_c,T_b] :
% 202.58/202.71 ( class_Groups_Ocomm__monoid__mult(T_b)
% 202.58/202.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),V_g_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Groups_Oone__class_Oone(T_b) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_setprod__infinite,axiom,
% 202.58/202.71 ! [V_f_2,V_A_2,T_b,T_c] :
% 202.58/202.71 ( class_Groups_Ocomm__monoid__mult(T_c)
% 202.58/202.71 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2) = c_Groups_Oone__class_Oone(T_c) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_setprod_Oinfinite,axiom,
% 202.58/202.71 ! [V_g_2,V_A_2,T_b,T_c] :
% 202.58/202.71 ( class_Groups_Ocomm__monoid__mult(T_c)
% 202.58/202.71 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2) = c_Groups_Oone__class_Oone(T_c) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_setprod__eq__1__iff,axiom,
% 202.58/202.71 ! [V_f_2,V_F_2,T_b] :
% 202.58/202.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 202.58/202.71 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),V_f_2),V_F_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 202.58/202.71 <=> ! [B_x] :
% 202.58/202.71 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_F_2))
% 202.58/202.71 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_setprod__pos__nat__iff,axiom,
% 202.58/202.71 ! [V_f_2,V_S_2,T_b] :
% 202.58/202.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),V_f_2),V_S_2)))
% 202.58/202.71 <=> ! [B_x] :
% 202.58/202.71 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 202.58/202.71 => 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))) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_setprod_Oinsert,axiom,
% 202.58/202.71 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 202.58/202.71 ( class_Groups_Ocomm__monoid__mult(T_c)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.58/202.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_setprod__insert,axiom,
% 202.58/202.71 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 202.58/202.71 ( class_Groups_Ocomm__monoid__mult(T_c)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 202.58/202.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_f_2,V_a_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2)) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_setprod_Ounion__inter,axiom,
% 202.58/202.71 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 202.58/202.71 ( class_Groups_Ocomm__monoid__mult(T_c)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 202.58/202.71 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_B_2)) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_setprod__Un__Int,axiom,
% 202.58/202.71 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 202.58/202.71 ( class_Groups_Ocomm__monoid__mult(T_c)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 202.58/202.71 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_B_2)) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_setprod_OF__eq,axiom,
% 202.58/202.71 ! [V_g_2,V_A_2,T_b,T_c] :
% 202.58/202.71 ( class_Groups_Ocomm__monoid__mult(T_c)
% 202.58/202.71 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_A_2) )
% 202.58/202.71 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2) = c_Groups_Oone__class_Oone(T_c) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_setprod_Oeq__fold,axiom,
% 202.58/202.71 ! [V_g_2,V_A_2,T_b,T_c] :
% 202.58/202.71 ( class_Groups_Ocomm__monoid__mult(T_c)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_A_2) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_setprod_Oinsert__remove,axiom,
% 202.58/202.71 ! [V_x_2,V_g_2,V_A_2,T_b,T_c] :
% 202.58/202.71 ( class_Groups_Ocomm__monoid__mult(T_c)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_setprod_Ounion__disjoint,axiom,
% 202.58/202.71 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 202.58/202.71 ( class_Groups_Ocomm__monoid__mult(T_c)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 202.58/202.71 => ( 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))
% 202.58/202.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_B_2)) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_setprod__Un__disjoint,axiom,
% 202.58/202.71 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 202.58/202.71 ( class_Groups_Ocomm__monoid__mult(T_c)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 202.58/202.71 => ( 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))
% 202.58/202.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_B_2)) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_setprod_Oremove,axiom,
% 202.58/202.71 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 202.58/202.71 ( class_Groups_Ocomm__monoid__mult(T_c)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.58/202.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_setprod__Un,axiom,
% 202.58/202.71 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 202.58/202.71 ( class_Fields_Ofield(T_c)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 202.58/202.71 => ( ! [B_x] :
% 202.58/202.71 ( 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)))
% 202.58/202.71 => hAPP(V_f_2,B_x) != c_Groups_Ozero__class_Ozero(T_c) )
% 202.58/202.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_code__numeral_Osize_I4_J,axiom,
% 202.58/202.71 ! [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))) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_code__numeral_Osize_I2_J,axiom,
% 202.58/202.71 ! [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))) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_setprod_Ounion__inter__neutral,axiom,
% 202.58/202.71 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 202.58/202.71 ( class_Groups_Ocomm__monoid__mult(T_c)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 202.58/202.71 => ( ! [B_x] :
% 202.58/202.71 ( 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)))
% 202.58/202.71 => hAPP(V_g_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 202.58/202.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_B_2)) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_code__numeral_Oinject,axiom,
% 202.58/202.71 ! [V_code__numeral_H_2,V_code__numeral_2] :
% 202.58/202.71 ( c_Code__Numeral_OSuc__code__numeral(V_code__numeral_2) = c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H_2)
% 202.58/202.71 <=> V_code__numeral_2 = V_code__numeral_H_2 ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_code__numeral_Osimps_I3_J,axiom,
% 202.58/202.71 ! [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) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_code__numeral_Osimps_I2_J,axiom,
% 202.58/202.71 ! [V_code__numeral_H] : c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) != c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_Suc__code__numeral__minus__one,axiom,
% 202.58/202.71 ! [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 ).
% 202.58/202.71
% 202.58/202.71 fof(fact_setprod__Un__one,axiom,
% 202.58/202.71 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] :
% 202.58/202.71 ( class_Groups_Ocomm__monoid__mult(T_c)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 202.58/202.71 => ( ! [B_x] :
% 202.58/202.71 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)))
% 202.58/202.71 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 202.58/202.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_S_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_T_2)) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_setprod__mono__one__right,axiom,
% 202.58/202.71 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 202.58/202.71 ( class_Groups_Ocomm__monoid__mult(T_c)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 202.58/202.71 => ( ! [B_x] :
% 202.58/202.71 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_T_2),V_S_2)))
% 202.58/202.71 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 202.58/202.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_T_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_S_2) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_setprod__mono__one__left,axiom,
% 202.58/202.71 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 202.58/202.71 ( class_Groups_Ocomm__monoid__mult(T_c)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 202.58/202.71 => ( ! [B_x] :
% 202.58/202.71 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_T_2),V_S_2)))
% 202.58/202.71 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 202.58/202.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_T_2) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_field__le__mult__one__interval,axiom,
% 202.58/202.71 ! [V_y,V_x,T_a] :
% 202.58/202.71 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 202.58/202.71 => ( ! [B_z] :
% 202.58/202.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_z))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),B_z),c_Groups_Oone__class_Oone(T_a)))
% 202.58/202.71 => 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)) ) )
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_code__numeral_Osimps_I5_J,axiom,
% 202.58/202.71 ! [V_code__numeral_2,V_f2_2,V_f1_2,T_b] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(T_b,V_f1_2,V_f2_2,c_Code__Numeral_OSuc__code__numeral(V_code__numeral_2)) = hAPP(V_f2_2,V_code__numeral_2) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_setprod__pos__nat,axiom,
% 202.58/202.71 ! [V_f_2,V_S_2,T_b] :
% 202.58/202.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 202.58/202.71 => ( ! [B_x] :
% 202.58/202.71 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 202.58/202.71 => 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))) )
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),V_f_2),V_S_2))) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_code__numeral_Osimps_I4_J,axiom,
% 202.58/202.71 ! [V_f2_2,V_f1_2,T_b] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(T_b,V_f1_2,V_f2_2,c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = V_f1_2 ).
% 202.58/202.71
% 202.58/202.71 fof(fact_setsum__diff1,axiom,
% 202.58/202.71 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 202.58/202.71 ( class_Groups_Oab__group__add(T_c)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 202.58/202.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) )
% 202.58/202.71 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 202.58/202.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_setsum__empty,axiom,
% 202.58/202.71 ! [V_f_2,T_c,T_b] :
% 202.58/202.71 ( class_Groups_Ocomm__monoid__add(T_b)
% 202.58/202.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(T_b) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_setsum_Oempty,axiom,
% 202.58/202.71 ! [V_g_2,T_c,T_b] :
% 202.58/202.71 ( class_Groups_Ocomm__monoid__add(T_b)
% 202.58/202.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_g_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(T_b) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_setsum_Oinfinite,axiom,
% 202.58/202.71 ! [V_g_2,V_A_2,T_b,T_c] :
% 202.58/202.71 ( class_Groups_Ocomm__monoid__add(T_c)
% 202.58/202.71 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_setsum__infinite,axiom,
% 202.58/202.71 ! [V_f_2,V_A_2,T_b,T_c] :
% 202.58/202.71 ( class_Groups_Ocomm__monoid__add(T_c)
% 202.58/202.71 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_setsum__eq__0__iff,axiom,
% 202.58/202.71 ! [V_f_2,V_F_2,T_b] :
% 202.58/202.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 202.58/202.71 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_F_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.58/202.71 <=> ! [B_x] :
% 202.58/202.71 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_F_2))
% 202.58/202.71 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_setsum__eq__Suc0__iff,axiom,
% 202.58/202.71 ! [V_f_2,V_A_2,T_b] :
% 202.58/202.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 202.58/202.71 <=> ? [B_x] :
% 202.58/202.71 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 202.58/202.71 & hAPP(V_f_2,B_x) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 202.58/202.71 & ! [B_xa] :
% 202.58/202.71 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 202.58/202.71 => ( B_x != B_xa
% 202.58/202.71 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_setsum__eq__1__iff,axiom,
% 202.58/202.71 ! [V_f_2,V_A_2,T_b] :
% 202.58/202.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 202.58/202.71 <=> ? [B_x] :
% 202.58/202.71 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 202.58/202.71 & hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 202.58/202.71 & ! [B_xa] :
% 202.58/202.71 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 202.58/202.71 => ( B_x != B_xa
% 202.58/202.71 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_setsum__add__nat__ivl,axiom,
% 202.58/202.71 ! [V_f_2,V_p_2,V_n_2,V_m_2,T_b] :
% 202.58/202.71 ( class_Groups_Ocomm__monoid__add(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_p_2))
% 202.58/202.71 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_n_2),V_p_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_p_2)) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_setsum__diff__nat__ivl,axiom,
% 202.58/202.71 ! [V_f_2,V_p_2,V_n_2,V_m_2,T_b] :
% 202.58/202.71 ( class_Groups_Oab__group__add(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_p_2))
% 202.58/202.71 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_p_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_n_2),V_p_2)) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_setsum__shift__lb__Suc0__0,axiom,
% 202.58/202.71 ! [V_k_2,V_f_2] :
% 202.58/202.71 ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.58/202.71 => 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)) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_setsum_Oinsert,axiom,
% 202.58/202.71 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 202.58/202.71 ( class_Groups_Ocomm__monoid__add(T_c)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.58/202.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2)) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_setsum__insert,axiom,
% 202.58/202.71 ! [V_f_2,V_a_2,V_F_2,T_b,T_c] :
% 202.58/202.71 ( class_Groups_Ocomm__monoid__add(T_c)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 202.58/202.71 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_F_2))
% 202.58/202.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_F_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_f_2,V_a_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_F_2)) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_setsum__Un__Int,axiom,
% 202.58/202.71 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 202.58/202.71 ( class_Groups_Ocomm__monoid__add(T_c)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 202.58/202.71 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_B_2)) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_setsum__diff,axiom,
% 202.58/202.71 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 202.58/202.71 ( class_Groups_Oab__group__add(T_c)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 202.58/202.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_B_2)) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_setsum_Oeq__fold,axiom,
% 202.58/202.71 ! [V_g_2,V_A_2,T_b,T_c] :
% 202.58/202.71 ( class_Groups_Ocomm__monoid__add(T_c)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Oplus__class_Oplus(T_c)),V_g_2),c_Groups_Ozero__class_Ozero(T_c)),V_A_2) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_setsum_OF__eq,axiom,
% 202.58/202.71 ! [V_g_2,V_A_2,T_b,T_c] :
% 202.58/202.71 ( class_Groups_Ocomm__monoid__add(T_c)
% 202.58/202.71 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Oplus__class_Oplus(T_c)),V_g_2),c_Groups_Ozero__class_Ozero(T_c)),V_A_2) )
% 202.58/202.71 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_setsum__diff__nat,axiom,
% 202.58/202.71 ! [V_f_2,V_A_2,V_B_2,T_b] :
% 202.58/202.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 202.58/202.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_B_2)) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_setsum__shift__lb__Suc0__0__upt,axiom,
% 202.58/202.71 ! [V_k_2,V_f_2,T_b] :
% 202.58/202.71 ( class_Groups_Ocomm__monoid__add(T_b)
% 202.58/202.71 => ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(T_b)
% 202.58/202.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_k_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_setsum__head__upt__Suc,axiom,
% 202.58/202.71 ! [V_f_2,V_n_2,V_m_2,T_b] :
% 202.58/202.71 ( class_Groups_Ocomm__monoid__add(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 202.58/202.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_f_2,V_m_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2)),V_n_2))) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_setsum__head__Suc,axiom,
% 202.58/202.71 ! [V_f_2,V_n_2,V_m_2,T_b] :
% 202.58/202.71 ( class_Groups_Ocomm__monoid__add(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 202.58/202.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_f_2,V_m_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2),V_n_2))) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_setsum_Oinsert__remove,axiom,
% 202.58/202.71 ! [V_x_2,V_g_2,V_A_2,T_b,T_c] :
% 202.58/202.71 ( class_Groups_Ocomm__monoid__add(T_c)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_setsum__Un__disjoint,axiom,
% 202.58/202.71 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 202.58/202.71 ( class_Groups_Ocomm__monoid__add(T_c)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 202.58/202.71 => ( 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))
% 202.58/202.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_B_2)) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_setsum__Un,axiom,
% 202.58/202.71 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 202.58/202.71 ( class_Groups_Oab__group__add(T_c)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 202.58/202.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_setsum__diff1__nat,axiom,
% 202.58/202.71 ! [V_f_2,V_A_2,V_a_2,T_b] :
% 202.58/202.71 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 202.58/202.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) )
% 202.58/202.71 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 202.58/202.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_setsum__Un__nat,axiom,
% 202.58/202.71 ! [V_f_2,V_B_2,V_A_2,T_b] :
% 202.58/202.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 202.58/202.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_setsum__op__ivl__Suc,axiom,
% 202.58/202.71 ! [V_f_2,V_m_2,V_n_2,T_b] :
% 202.58/202.71 ( class_Groups_Ocomm__monoid__add(T_b)
% 202.58/202.71 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 202.58/202.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),hAPP(c_Nat_OSuc,V_n_2))) = c_Groups_Ozero__class_Ozero(T_b) )
% 202.58/202.71 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 202.58/202.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2))),hAPP(V_f_2,V_n_2)) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_setsum__cl__ivl__Suc,axiom,
% 202.58/202.71 ! [V_f_2,V_m_2,V_n_2,T_b] :
% 202.58/202.71 ( class_Groups_Ocomm__monoid__add(T_b)
% 202.58/202.71 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2))
% 202.58/202.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,hAPP(c_Nat_OSuc,V_n_2))) = c_Groups_Ozero__class_Ozero(T_b) )
% 202.58/202.71 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2))
% 202.58/202.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2))),hAPP(V_f_2,hAPP(c_Nat_OSuc,V_n_2))) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_setsum__ub__add__nat,axiom,
% 202.58/202.71 ! [V_p_2,V_f_2,V_n_2,V_m_2,T_b] :
% 202.58/202.71 ( class_Groups_Ocomm__monoid__add(T_b)
% 202.58/202.71 => ( 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))))
% 202.58/202.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_p_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_p_2)))) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_setsum_Oremove,axiom,
% 202.58/202.71 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 202.58/202.71 ( class_Groups_Ocomm__monoid__add(T_c)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.58/202.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_setsum__diff1_H,axiom,
% 202.58/202.71 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 202.58/202.71 ( class_Groups_Ocomm__monoid__add(T_c)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 202.58/202.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_f_2,V_a_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_setsum__diff1__ring,axiom,
% 202.58/202.71 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 202.58/202.71 ( class_Rings_Oring(T_c)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 202.58/202.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_setsum__mono2,axiom,
% 202.58/202.71 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] :
% 202.58/202.71 ( class_Groups_Oordered__comm__monoid__add(T_c)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 202.58/202.71 => ( ! [B_b] :
% 202.58/202.71 ( hBOOL(hAPP(hAPP(c_member(T_b),B_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)))
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_b))) )
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_B_2))) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_setsum__bounded,axiom,
% 202.58/202.71 ! [V_K_2,V_f_2,V_A_2,T_b,T_c] :
% 202.58/202.71 ( ( class_Groups_Oordered__ab__semigroup__add(T_c)
% 202.58/202.71 & class_Rings_Osemiring__1(T_c) )
% 202.58/202.71 => ( ! [B_i] :
% 202.58/202.71 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_A_2))
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_i)),V_K_2)) )
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_c),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))),V_K_2))) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_setsum__Un__zero,axiom,
% 202.58/202.71 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] :
% 202.58/202.71 ( class_Groups_Ocomm__monoid__add(T_c)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 202.58/202.71 => ( ! [B_x] :
% 202.58/202.71 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)))
% 202.58/202.71 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 202.58/202.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_S_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_T_2)) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_setsum_Ounion__inter__neutral,axiom,
% 202.58/202.71 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 202.58/202.71 ( class_Groups_Ocomm__monoid__add(T_c)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 202.58/202.71 => ( ! [B_x] :
% 202.58/202.71 ( 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)))
% 202.58/202.71 => hAPP(V_g_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 202.58/202.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_B_2)) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_setsum__mono3,axiom,
% 202.58/202.71 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] :
% 202.58/202.71 ( ( class_Groups_Ocomm__monoid__add(T_c)
% 202.58/202.71 & class_Groups_Oordered__ab__semigroup__add(T_c) )
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 202.58/202.71 => ( ! [B_x] :
% 202.58/202.71 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)))
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) )
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_B_2))) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_setsum__mono__zero__left,axiom,
% 202.58/202.71 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 202.58/202.71 ( class_Groups_Ocomm__monoid__add(T_c)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 202.58/202.71 => ( ! [B_x] :
% 202.58/202.71 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_T_2),V_S_2)))
% 202.58/202.71 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 202.58/202.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_T_2) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_setsum__mono__zero__right,axiom,
% 202.58/202.71 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 202.58/202.71 ( class_Groups_Ocomm__monoid__add(T_c)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 202.58/202.71 => ( ! [B_x] :
% 202.58/202.71 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_T_2),V_S_2)))
% 202.58/202.71 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 202.58/202.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_T_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_S_2) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_setsum__strict__mono,axiom,
% 202.58/202.71 ! [V_g_2,V_f_2,V_A_2,T_b,T_c] :
% 202.58/202.71 ( ( class_Groups_Ocomm__monoid__add(T_c)
% 202.58/202.71 & class_Groups_Oordered__cancel__ab__semigroup__add(T_c) )
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => ( ! [B_x] :
% 202.58/202.71 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2))) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_setsum__SucD,axiom,
% 202.58/202.71 ! [V_n_2,V_A_2,V_f_2,T_b] :
% 202.58/202.71 ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Nat_OSuc,V_n_2)
% 202.58/202.71 => ? [B_x] :
% 202.58/202.71 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 202.58/202.71 & 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))) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_nat__mod__eq__lemma,axiom,
% 202.58/202.71 ! [V_y,V_n,V_x] :
% 202.58/202.71 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_x,V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_y,V_n)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y),V_x))
% 202.58/202.71 => ? [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)) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_fold__image__1,axiom,
% 202.58/202.71 ! [V_f_2,V_S_2,T_b,T_c] :
% 202.58/202.71 ( class_Groups_Ocomm__monoid__mult(T_c)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 202.58/202.71 => ( ! [B_x] :
% 202.58/202.71 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 202.58/202.71 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 202.58/202.71 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_f_2),c_Groups_Oone__class_Oone(T_c)),V_S_2) = c_Groups_Oone__class_Oone(T_c) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_card_Oneutral,axiom,
% 202.58/202.71 ! [V_A_2,T_b] :
% 202.58/202.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 202.58/202.71 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 202.58/202.71 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_mod__induct__0,axiom,
% 202.58/202.71 ! [V_i_2,V_P_2,V_p_2] :
% 202.58/202.71 ( ! [B_i] :
% 202.58/202.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_p_2))
% 202.58/202.71 => ( hBOOL(hAPP(V_P_2,B_i))
% 202.58/202.71 => hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,B_i),V_p_2))) ) )
% 202.58/202.71 => ( hBOOL(hAPP(V_P_2,V_i_2))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_p_2))
% 202.58/202.71 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_fold__image__cong,axiom,
% 202.58/202.71 ! [V_z_2,V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 202.58/202.71 ( class_Groups_Oab__semigroup__mult(T_c)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( ! [B_x] :
% 202.58/202.71 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 202.58/202.71 => hAPP(V_g_2,B_x) = hAPP(V_h_2,B_x) )
% 202.58/202.71 => 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),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_h_2),V_z_2),V_A_2) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_setsum__reindex__cong,axiom,
% 202.58/202.71 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] :
% 202.58/202.71 ( class_Groups_Ocomm__monoid__add(T_d)
% 202.58/202.71 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 202.58/202.71 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)
% 202.58/202.71 => ( ! [B_a] :
% 202.58/202.71 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 202.58/202.71 => hAPP(V_g_2,B_a) = hAPP(V_h_2,hAPP(V_f_2,B_a)) )
% 202.58/202.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_h_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),V_g_2),V_A_2) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_setsum__ivl__cong,axiom,
% 202.58/202.71 ! [V_g_2,V_f_2,V_d_2,V_b_2,V_c_2,V_a_2,T_b,T_c] :
% 202.58/202.71 ( ( class_Groups_Ocomm__monoid__add(T_c)
% 202.58/202.71 & class_Orderings_Oord(T_b) )
% 202.58/202.71 => ( V_a_2 = V_c_2
% 202.58/202.71 => ( V_b_2 = V_d_2
% 202.58/202.71 => ( ! [B_x] :
% 202.58/202.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),B_x))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_d_2))
% 202.58/202.71 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) )
% 202.58/202.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_c_2),V_d_2)) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_nat__intermed__int__val,axiom,
% 202.58/202.71 ! [V_k_2,V_f_2,V_n_2,V_m_2] :
% 202.58/202.71 ( ! [B_i] :
% 202.58/202.71 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i))
% 202.58/202.71 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2)) )
% 202.58/202.71 => 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))) )
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(V_f_2,V_m_2)),V_k_2))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2)))
% 202.58/202.71 => ? [B_i] :
% 202.58/202.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i))
% 202.58/202.71 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2))
% 202.58/202.71 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_log_Osimps,axiom,
% 202.58/202.71 ! [V_i,V_b] :
% 202.58/202.71 ( ( ( 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)))
% 202.58/202.71 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) )
% 202.58/202.71 => c_Random_Olog(V_b,V_i) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) )
% 202.58/202.71 & ( ~ ( 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)))
% 202.58/202.71 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) )
% 202.58/202.71 => 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))) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_mod__div__decomp,axiom,
% 202.58/202.71 ! [V_b,V_a,T_a] :
% 202.58/202.71 ( class_Divides_Osemiring__div(T_a)
% 202.58/202.71 => 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)) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_folding__image__simple__idem_Ounion__idem,axiom,
% 202.58/202.71 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 202.58/202.71 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 202.58/202.71 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_folding__image__simple__idem_Oidem,axiom,
% 202.58/202.71 ! [V_x_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 202.58/202.71 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 202.58/202.71 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_folding__image__simple__idem_Oin__idem,axiom,
% 202.58/202.71 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 202.58/202.71 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 202.58/202.71 => hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_F_2,V_A_2)) = hAPP(V_F_2,V_A_2) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_folding__image__simple__idem_Oinsert__idem,axiom,
% 202.58/202.71 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 202.58/202.71 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 202.58/202.71 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_F_2,V_A_2)) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_folding__image__simple__idem_Osubset__idem,axiom,
% 202.58/202.71 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 202.58/202.71 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_A_2))
% 202.58/202.71 => hAPP(hAPP(V_f_2,hAPP(V_F_2,V_B_2)),hAPP(V_F_2,V_A_2)) = hAPP(V_F_2,V_A_2) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_minus__shift__def,axiom,
% 202.58/202.71 ! [V_r,V_l,V_k] :
% 202.58/202.71 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 202.58/202.71 => 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) )
% 202.58/202.71 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 202.58/202.71 => 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) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_inc__shift__def,axiom,
% 202.58/202.71 ! [V_k,V_v] :
% 202.58/202.71 ( ( V_v = V_k
% 202.58/202.71 => c_Random_Oinc__shift(V_v,V_k) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) )
% 202.58/202.71 & ( V_v != V_k
% 202.58/202.71 => 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)) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_Inf__fin_Oeq__fold_H,axiom,
% 202.58/202.71 ! [V_x_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Lattices_Olattice(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.58/202.71 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_x_2),V_A_2) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_Sup__fin_Oeq__fold_H,axiom,
% 202.58/202.71 ! [V_x_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Lattices_Olattice(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.58/202.71 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_x_2),V_A_2) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_fold__empty,axiom,
% 202.58/202.71 ! [V_z_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_b,V_f_2),V_z_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = V_z_2 ).
% 202.58/202.71
% 202.58/202.71 fof(fact_union__fold__insert,axiom,
% 202.58/202.71 ! [V_B_2,V_A_2,T_b] :
% 202.58/202.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,tc_fun(T_b,tc_HOL_Obool),c_Set_Oinsert(T_b)),V_B_2),V_A_2) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_fold__sup__insert,axiom,
% 202.58/202.71 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Lattices_Osemilattice__sup(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_b_2),V_A_2)) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_fold__inf__insert,axiom,
% 202.58/202.71 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Lattices_Osemilattice__inf(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_b_2),V_A_2)) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_sup__Sup__fold__sup,axiom,
% 202.58/202.71 ! [V_B_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_B_2),c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_B_2),V_A_2) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_inf__Inf__fold__inf,axiom,
% 202.58/202.71 ! [V_B_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_B_2),c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_B_2),V_A_2) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_folding__one__idem_Oeq__fold__idem_H,axiom,
% 202.58/202.71 ! [V_a_2,V_A_2,V_F_2,V_f_2,T_b] :
% 202.58/202.71 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,V_f_2),V_a_2),V_A_2) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_sup__le__fold__sup,axiom,
% 202.58/202.71 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Lattices_Osemilattice__sup(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_a_2),V_b_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_b_2),V_A_2))) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_fold__inf__le__inf,axiom,
% 202.58/202.71 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Lattices_Osemilattice__inf(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_b_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_a_2),V_b_2))) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_Sup__fold__sup,axiom,
% 202.58/202.71 ! [V_A_2,T_b] :
% 202.58/202.71 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),c_Orderings_Obot__class_Obot(T_b)),V_A_2) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_Inf__fold__inf,axiom,
% 202.58/202.71 ! [V_A_2,T_b] :
% 202.58/202.71 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),c_Orderings_Otop__class_Otop(T_b)),V_A_2) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_fold1__eq__fold__idem,axiom,
% 202.58/202.71 ! [V_a_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)),V_a_2),V_A_2) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_Sup__fin_Oeq__fold__idem_H,axiom,
% 202.58/202.71 ! [V_a_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Lattices_Olattice(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_a_2),V_A_2) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_Inf__fin_Oeq__fold__idem_H,axiom,
% 202.58/202.71 ! [V_a_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Lattices_Olattice(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_a_2),V_A_2) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_folding__one_Oeq__fold_H,axiom,
% 202.58/202.71 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 202.58/202.71 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.58/202.71 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,V_f_2),V_x_2),V_A_2) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_fold1__eq__fold,axiom,
% 202.58/202.71 ! [V_a_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Groups_Oab__semigroup__mult(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 202.58/202.71 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)),V_a_2),V_A_2) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_fun__left__comm_Ofold__rec,axiom,
% 202.58/202.71 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 202.58/202.71 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.58/202.71 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_fun__left__comm_Ofold__insert__remove,axiom,
% 202.58/202.71 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 202.58/202.71 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_fun__left__comm_Ofold__insert,axiom,
% 202.58/202.71 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 202.58/202.71 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.58/202.71 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2)) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_fun__left__comm_Ofold__insert2,axiom,
% 202.58/202.71 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 202.58/202.71 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.58/202.71 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)),V_A_2) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_fun__left__comm_Ofun__left__comm,axiom,
% 202.58/202.71 ! [V_z_2,V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 202.58/202.71 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 202.58/202.71 => 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)) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_fun__left__comm,axiom,
% 202.58/202.71 ! [T_b] :
% 202.58/202.71 ( class_Groups_Oab__semigroup__mult(T_b)
% 202.58/202.71 => c_Finite__Set_Ofun__left__comm(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_fun__left__comm_Ofold__graph__determ,axiom,
% 202.58/202.71 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 202.58/202.71 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_x_2))
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 202.58/202.71 => V_y_2 = V_x_2 ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_fun__left__comm_Ofold__fun__comm,axiom,
% 202.58/202.71 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 202.58/202.71 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)),V_A_2) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_fun__left__comm_Ofold__equality,axiom,
% 202.58/202.71 ! [V_y_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 202.58/202.71 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 202.58/202.71 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2) = V_y_2 ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_fun__left__comm_Ofold__graph__fold,axiom,
% 202.58/202.71 ! [V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 202.58/202.71 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2))) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_fun__left__comm_Ofold__graph__insertE__aux,axiom,
% 202.58/202.71 ! [V_a_2,V_y_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 202.58/202.71 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 202.58/202.71 => ? [B_y_H] :
% 202.58/202.71 ( V_y_2 = hAPP(hAPP(V_f_2,V_a_2),B_y_H)
% 202.58/202.71 & hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),B_y_H)) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_fun__left__comm_Ofold__graph__insertE,axiom,
% 202.58/202.71 ! [V_v_2,V_A_2,V_x_2,V_z_2,V_f_2,T_c,T_b] :
% 202.58/202.71 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),V_v_2))
% 202.58/202.71 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.58/202.71 => ~ ! [B_y] :
% 202.58/202.71 ( V_v_2 = hAPP(hAPP(V_f_2,V_x_2),B_y)
% 202.58/202.71 => ~ hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),B_y)) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_fun__left__comm__idem_Ofold__insert__idem2,axiom,
% 202.58/202.71 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 202.58/202.71 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)),V_A_2) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_fun__left__comm__idem_Ofold__insert__idem,axiom,
% 202.58/202.71 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 202.58/202.71 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2)) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_fun__left__comm__idem_Ofun__left__idem,axiom,
% 202.58/202.71 ! [V_z_2,V_x_2,V_f_2,T_c,T_b] :
% 202.58/202.71 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 202.58/202.71 => 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) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_fun__left__comm__idem__insert,axiom,
% 202.58/202.71 ! [T_b] : c_Finite__Set_Ofun__left__comm__idem(T_b,tc_fun(T_b,tc_HOL_Obool),c_Set_Oinsert(T_b)) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_fun__left__comm__idem,axiom,
% 202.58/202.71 ! [T_b] :
% 202.58/202.71 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 202.58/202.71 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_fun__left__comm__idem__sup,axiom,
% 202.58/202.71 ! [T_b] :
% 202.58/202.71 ( class_Lattices_Osemilattice__sup(T_b)
% 202.58/202.71 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_fun__left__comm__idem__inf,axiom,
% 202.58/202.71 ! [T_b] :
% 202.58/202.71 ( class_Lattices_Osemilattice__inf(T_b)
% 202.58/202.71 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_inf__le__fold__inf,axiom,
% 202.58/202.71 ! [V_c_2,V_b_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Lattices_Osemilattice__inf(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( ! [B_x] :
% 202.58/202.71 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) )
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_b_2),V_c_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_c_2),V_A_2))) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_fold__sup__le__sup,axiom,
% 202.58/202.71 ! [V_c_2,V_b_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Lattices_Osemilattice__sup(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( ! [B_x] :
% 202.58/202.71 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) )
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_c_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_b_2),V_c_2))) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_setprod__pos,axiom,
% 202.58/202.71 ! [V_f_2,V_A_2,T_b,T_c] :
% 202.58/202.71 ( class_Rings_Olinordered__semidom(T_c)
% 202.58/202.71 => ( ! [B_x] :
% 202.58/202.71 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) )
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2))) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_setprod__nonneg,axiom,
% 202.58/202.71 ! [V_f_2,V_A_2,T_b,T_c] :
% 202.58/202.71 ( class_Rings_Olinordered__semidom(T_c)
% 202.58/202.71 => ( ! [B_x] :
% 202.58/202.71 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) )
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2))) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_finite__induct,axiom,
% 202.58/202.71 ! [V_P_2,V_F_2,T_b] :
% 202.58/202.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 202.58/202.71 => ( hBOOL(hAPP(V_P_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 202.58/202.71 => ( ! [B_x,B_F] :
% 202.58/202.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_F))
% 202.58/202.71 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_F))
% 202.58/202.71 => ( hBOOL(hAPP(V_P_2,B_F))
% 202.58/202.71 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Set_Oinsert(T_b),B_x),B_F))) ) ) )
% 202.58/202.71 => hBOOL(hAPP(V_P_2,V_F_2)) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_fold1__antimono,axiom,
% 202.58/202.71 ! [V_B_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_B_2)),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2))) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_field__le__epsilon,axiom,
% 202.58/202.71 ! [V_y,V_x,T_a] :
% 202.58/202.71 ( class_Fields_Olinordered__field(T_a)
% 202.58/202.71 => ( ! [B_e] :
% 202.58/202.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_e))
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_y),B_e))) )
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_subtract__code__numeral__def,axiom,
% 202.58/202.71 c_Code__Numeral_Osubtract__code__numeral = c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_Ofun__left__comm__idem__inf,axiom,
% 202.58/202.71 ! [T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__add__distrib__left,axiom,
% 202.58/202.71 ! [V_z,V_y,V_x,T_a] :
% 202.58/202.71 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 202.58/202.71 => 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)) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_Oless__infI2,axiom,
% 202.58/202.71 ! [V_a,V_x,V_b,T_a] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_a)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x))
% 202.58/202.71 => 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)) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_Oless__infI1,axiom,
% 202.58/202.71 ! [V_b,V_x,V_a,T_a] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_a)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x))
% 202.58/202.71 => 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)) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__less__iff__disj,axiom,
% 202.58/202.71 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2)),V_z_2))
% 202.58/202.71 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_z_2))
% 202.58/202.71 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_z_2)) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__less__iff__conj,axiom,
% 202.58/202.71 ! [V_y_2,V_x_2,V_z_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2)))
% 202.58/202.71 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_x_2))
% 202.58/202.71 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_y_2)) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__le__iff__disj,axiom,
% 202.58/202.71 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2)),V_z_2))
% 202.58/202.71 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2))
% 202.58/202.71 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_Ole__infE,axiom,
% 202.58/202.71 ! [V_b,V_a,V_x,T_a] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_a)
% 202.58/202.71 => ( 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)))
% 202.58/202.71 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 202.58/202.71 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_Oinf__mono,axiom,
% 202.58/202.71 ! [V_d,V_b,V_c,V_a,T_a] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_a)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 202.58/202.71 => 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))) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_Oinf__greatest,axiom,
% 202.58/202.71 ! [V_z,V_y,V_x,T_a] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_a)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z))
% 202.58/202.71 => 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))) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_Ole__infI,axiom,
% 202.58/202.71 ! [V_b,V_a,V_x,T_a] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_a)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 202.58/202.71 => 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))) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_Oinf__absorb2,axiom,
% 202.58/202.71 ! [V_x,V_y,T_a] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_a)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 202.58/202.71 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_y ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_Oinf__absorb1,axiom,
% 202.58/202.71 ! [V_y,V_x,T_a] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_a)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 202.58/202.71 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_x ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_Ole__infI2,axiom,
% 202.58/202.71 ! [V_a,V_x,V_b,T_a] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_a)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 202.58/202.71 => 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)) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_Ole__infI1,axiom,
% 202.58/202.71 ! [V_b,V_x,V_a,T_a] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_a)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 202.58/202.71 => 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)) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_Ole__inf__iff,axiom,
% 202.58/202.71 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_y_2),V_z_2)))
% 202.58/202.71 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 202.58/202.71 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_Ole__iff__inf,axiom,
% 202.58/202.71 ! [V_y_2,V_x_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 202.58/202.71 <=> hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2) = V_x_2 ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_Oinf__le2,axiom,
% 202.58/202.71 ! [V_y,V_x,T_a] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_a)
% 202.58/202.71 => 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)) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_Oinf__le1,axiom,
% 202.58/202.71 ! [V_y,V_x,T_a] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_a)
% 202.58/202.71 => 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)) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__0R,axiom,
% 202.58/202.71 ! [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) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__0L,axiom,
% 202.58/202.71 ! [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) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__of__mono,axiom,
% 202.58/202.71 ! [V_n_2,V_m_2,V_f_2,T_b,T_c] :
% 202.58/202.71 ( ( class_Orderings_Olinorder(T_c)
% 202.58/202.71 & class_Orderings_Olinorder(T_b) )
% 202.58/202.71 => ( c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2)
% 202.58/202.71 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_c),hAPP(V_f_2,V_m_2)),hAPP(V_f_2,V_n_2)) = hAPP(V_f_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_m_2),V_n_2)) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_Min_Oidem,axiom,
% 202.58/202.71 ! [V_x,T_a] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_a)
% 202.58/202.71 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_x) = V_x ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_Oinf__assoc,axiom,
% 202.58/202.71 ! [V_z,V_y,V_x,T_a] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_a)
% 202.58/202.71 => 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)) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_Oinf_Oassoc,axiom,
% 202.58/202.71 ! [V_c,V_b,V_a,T_a] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_a)
% 202.58/202.71 => 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)) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_Oinf__left__commute,axiom,
% 202.58/202.71 ! [V_z,V_y,V_x,T_a] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_a)
% 202.58/202.71 => 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)) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_Oinf_Oleft__commute,axiom,
% 202.58/202.71 ! [V_c,V_a,V_b,T_a] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_a)
% 202.58/202.71 => 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)) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_Oinf__left__idem,axiom,
% 202.58/202.71 ! [V_y,V_x,T_a] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_a)
% 202.58/202.71 => 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) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_Oinf_Oleft__idem,axiom,
% 202.58/202.71 ! [V_b,V_a,T_a] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_a)
% 202.58/202.71 => 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) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_Oinf__commute,axiom,
% 202.58/202.71 ! [V_y,V_x,T_a] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_a)
% 202.58/202.71 => 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) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_Oinf_Ocommute,axiom,
% 202.58/202.71 ! [V_b,V_a,T_a] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_a)
% 202.58/202.71 => 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) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_Oinf_Oidem,axiom,
% 202.58/202.71 ! [V_a,T_a] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_a)
% 202.58/202.71 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_a) = V_a ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__Suc__Suc,axiom,
% 202.58/202.71 ! [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)) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_inf__min,axiom,
% 202.58/202.71 ! [T_b] :
% 202.58/202.71 ( ( class_Lattices_Osemilattice__inf(T_b)
% 202.58/202.71 & class_Orderings_Olinorder(T_b) )
% 202.58/202.71 => c_Lattices_Osemilattice__inf__class_Oinf(T_b) = c_Orderings_Oord__class_Omin(T_b) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__diff__distrib__left,axiom,
% 202.58/202.71 ! [V_z,V_y,V_x,T_a] :
% 202.58/202.71 ( class_Groups_Oordered__ab__group__add(T_a)
% 202.58/202.71 => 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)) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__diff,axiom,
% 202.58/202.71 ! [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) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__number__of,axiom,
% 202.58/202.71 ! [V_v,V_u,T_b] :
% 202.58/202.71 ( ( class_Int_Onumber(T_b)
% 202.58/202.71 & class_Orderings_Oord(T_b) )
% 202.58/202.71 => ( ( 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)))
% 202.58/202.71 => 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) )
% 202.58/202.71 & ( ~ 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)))
% 202.58/202.71 => 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) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_Ofold__inf__insert,axiom,
% 202.58/202.71 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_b_2),V_A_2)) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_Omono__inf,axiom,
% 202.58/202.71 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] :
% 202.58/202.71 ( ( class_Lattices_Osemilattice__inf(T_c)
% 202.58/202.71 & class_Orderings_Olinorder(T_b) )
% 202.58/202.71 => ( c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2)
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_c),hAPP(V_f_2,V_A_2)),hAPP(V_f_2,V_B_2)))) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_Int__atLeastAtMostR1,axiom,
% 202.58/202.71 ! [V_d_2,V_c_2,V_b_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_c_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_c_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_Int__atLeastAtMostL1,axiom,
% 202.58/202.71 ! [V_d_2,V_b_2,V_a_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_Ofold__inf__le__inf,axiom,
% 202.58/202.71 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_b_2),V_A_2)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_a_2),V_b_2))) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_Ofold1__belowI,axiom,
% 202.58/202.71 ! [V_a_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2)),V_a_2)) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_fold1__below__iff,axiom,
% 202.58/202.71 ! [V_x_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2)),V_x_2))
% 202.58/202.71 <=> ? [B_x] :
% 202.58/202.71 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 202.58/202.71 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_x_2)) ) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_Obelow__fold1__iff,axiom,
% 202.58/202.71 ! [V_x_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2)))
% 202.58/202.71 <=> ! [B_x] :
% 202.58/202.71 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_fold1__strict__below__iff,axiom,
% 202.58/202.71 ! [V_x_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2)),V_x_2))
% 202.58/202.71 <=> ? [B_x] :
% 202.58/202.71 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 202.58/202.71 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_x_2)) ) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_strict__below__fold1__iff,axiom,
% 202.58/202.71 ! [V_x_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2)))
% 202.58/202.71 <=> ! [B_x] :
% 202.58/202.71 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),B_x)) ) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_minus__code__numeral__code,axiom,
% 202.58/202.71 ! [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) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__ord__min,axiom,
% 202.58/202.71 ! [T_b] :
% 202.58/202.71 ( class_Orderings_Oord(T_b)
% 202.58/202.71 => c_Orderings_Oord__class_Omin(T_b) = c_Orderings_Oord_Omin(T_b,c_Orderings_Oord__class_Oless__eq(T_b)) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_Min_Oremove,axiom,
% 202.58/202.71 ! [V_x_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.58/202.71 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = V_x_2 )
% 202.58/202.71 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_OInf__fin_Oremove,axiom,
% 202.58/202.71 ! [V_x_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.58/202.71 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) = V_x_2 )
% 202.58/202.71 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_Min_Oeq__fold_H,axiom,
% 202.58/202.71 ! [V_x_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.58/202.71 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_x_2),V_A_2) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_inf__nat__def,axiom,
% 202.58/202.71 c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat) = c_Orderings_Oord__class_Omin(tc_Nat_Onat) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_Min_Osingleton,axiom,
% 202.58/202.71 ! [V_x_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_OInf__fin_Oin__idem,axiom,
% 202.58/202.71 ! [V_x_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.58/202.71 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) = c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_Min__le,axiom,
% 202.58/202.71 ! [V_x_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_x_2)) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_OInf__fin_Osingleton,axiom,
% 202.58/202.71 ! [V_x_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_Min__in,axiom,
% 202.58/202.71 ! [V_A_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_A_2)) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_Min_Oin__idem,axiom,
% 202.58/202.71 ! [V_x_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.58/202.71 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)) = c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_OInf__fin_OF__eq,axiom,
% 202.58/202.71 ! [V_A_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_Min_OF__eq,axiom,
% 202.58/202.71 ! [V_A_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_OInf__fin_Oinsert__idem,axiom,
% 202.58/202.71 ! [V_x_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_OInf__fin_Osubset__idem,axiom,
% 202.58/202.71 ! [V_B_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 202.58/202.71 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_B_2)),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) = c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_OInf__fin_Ounion__idem,axiom,
% 202.58/202.71 ! [V_B_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 202.58/202.71 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_B_2)) ) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_Min__antimono,axiom,
% 202.58/202.71 ! [V_N_2,V_M_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_M_2),V_N_2))
% 202.58/202.71 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_N_2)),c_Big__Operators_Olinorder__class_OMin(T_b,V_M_2))) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_OInf__fin_Oeq__fold__idem_H,axiom,
% 202.58/202.71 ! [V_a_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_a_2),V_A_2) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_Min__insert,axiom,
% 202.58/202.71 ! [V_x_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_Min_Osubset__idem,axiom,
% 202.58/202.71 ! [V_B_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 202.58/202.71 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_B_2)),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)) = c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_Min__Un,axiom,
% 202.58/202.71 ! [V_B_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 202.58/202.71 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMin(T_b,V_B_2)) ) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_Min_Oeq__fold__idem_H,axiom,
% 202.58/202.71 ! [V_a_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_a_2),V_A_2) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_OInf__fin_Oinsert,axiom,
% 202.58/202.71 ! [V_x_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.58/202.71 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_OInf__fin_Oinsert__remove,axiom,
% 202.58/202.71 ! [V_x_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 202.58/202.71 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_OInf__fin_Ounion__inter,axiom,
% 202.58/202.71 ! [V_B_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 202.58/202.71 => ( 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))
% 202.58/202.71 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_B_2)) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_OInf__fin_Ounion__disjoint,axiom,
% 202.58/202.71 ! [V_B_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 202.58/202.71 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => ( 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))
% 202.58/202.71 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_B_2)) ) ) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_OInf__fin_Oeq__fold_H,axiom,
% 202.58/202.71 ! [V_x_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.58/202.71 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_x_2),V_A_2) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_Min_Oinsert,axiom,
% 202.58/202.71 ! [V_x_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.58/202.71 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_Min_Oinsert__remove,axiom,
% 202.58/202.71 ! [V_x_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 202.58/202.71 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_Min_Ounion__inter,axiom,
% 202.58/202.71 ! [V_B_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 202.58/202.71 => ( 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))
% 202.58/202.71 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMin(T_b,V_B_2)) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_Min_Ounion__disjoint,axiom,
% 202.58/202.71 ! [V_B_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 202.58/202.71 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => ( 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))
% 202.58/202.71 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMin(T_b,V_B_2)) ) ) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_OInf__fin_Oclosed,axiom,
% 202.58/202.71 ! [V_A_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),V_A_2)) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_Min_Oclosed,axiom,
% 202.58/202.71 ! [V_A_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_OInf__fin_Ohom__commute,axiom,
% 202.58/202.71 ! [V_N_2,V_h_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 202.58/202.71 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => hAPP(V_h_2,c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_N_2)) = c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_Min_Ohom__commute,axiom,
% 202.58/202.71 ! [V_N_2,V_h_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 202.58/202.71 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => hAPP(V_h_2,c_Big__Operators_Olinorder__class_OMin(T_b,V_N_2)) = c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_minus__Max__eq__Min,axiom,
% 202.58/202.71 ! [V_S_2,T_b] :
% 202.58/202.71 ( class_Groups_Olinordered__ab__group__add(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 202.58/202.71 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_S_2)) = c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),V_S_2)) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_minus__Min__eq__Max,axiom,
% 202.58/202.71 ! [V_S_2,T_b] :
% 202.58/202.71 ( class_Groups_Olinordered__ab__group__add(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 202.58/202.71 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_S_2)) = c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),V_S_2)) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_Oinf__le__fold__inf,axiom,
% 202.58/202.71 ! [V_c_2,V_b_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( ! [B_x] :
% 202.58/202.71 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) )
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_c_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_c_2),V_A_2))) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_Min__eqI,axiom,
% 202.58/202.71 ! [V_x_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( ! [B_y] :
% 202.58/202.71 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2))
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_y)) )
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.58/202.71 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = V_x_2 ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_Max_Osingleton,axiom,
% 202.58/202.71 ! [V_x_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_Max__ge,axiom,
% 202.58/202.71 ! [V_x_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2))) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_Max__in,axiom,
% 202.58/202.71 ! [V_A_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),V_A_2)) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_Max__mono,axiom,
% 202.58/202.71 ! [V_N_2,V_M_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_M_2),V_N_2))
% 202.58/202.71 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_M_2)),c_Big__Operators_Olinorder__class_OMax(T_b,V_N_2))) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_Max_Oremove,axiom,
% 202.58/202.71 ! [V_x_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.58/202.71 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = V_x_2 )
% 202.58/202.71 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_Max__eqI,axiom,
% 202.58/202.71 ! [V_x_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( ! [B_y] :
% 202.58/202.71 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2))
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_y),V_x_2)) )
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.58/202.71 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = V_x_2 ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_Max_Oeq__fold_H,axiom,
% 202.58/202.71 ! [V_x_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.58/202.71 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_x_2),V_A_2) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_Max_Ounion__inter,axiom,
% 202.58/202.71 ! [V_B_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 202.58/202.71 => ( 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))
% 202.58/202.71 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMax(T_b,V_B_2)) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_Oinf__sup__distrib2,axiom,
% 202.58/202.71 ! [V_x,V_z,V_y,T_a] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_a)
% 202.58/202.71 => 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)) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_Osup__inf__distrib2,axiom,
% 202.58/202.71 ! [V_x,V_z,V_y,T_a] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_a)
% 202.58/202.71 => 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)) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_Oinf__sup__distrib1,axiom,
% 202.58/202.71 ! [V_z,V_y,V_x,T_a] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_a)
% 202.58/202.71 => 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)) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_Osup__inf__distrib1,axiom,
% 202.58/202.71 ! [V_z,V_y,V_x,T_a] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_a)
% 202.58/202.71 => 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)) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_Oinf__sup__absorb,axiom,
% 202.58/202.71 ! [V_y,V_x,T_a] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_a)
% 202.58/202.71 => 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 ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_Osup__inf__absorb,axiom,
% 202.58/202.71 ! [V_y,V_x,T_a] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_a)
% 202.58/202.71 => 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 ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_Ofun__left__comm__idem__sup,axiom,
% 202.58/202.71 ! [T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_max__add__distrib__left,axiom,
% 202.58/202.71 ! [V_z,V_y,V_x,T_a] :
% 202.58/202.71 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 202.58/202.71 => 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)) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_Oless__supI2,axiom,
% 202.58/202.71 ! [V_a,V_b,V_x,T_a] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_a)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b))
% 202.58/202.71 => 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))) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_Oless__supI1,axiom,
% 202.58/202.71 ! [V_b,V_a,V_x,T_a] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_a)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 202.58/202.71 => 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))) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_max__less__iff__conj,axiom,
% 202.58/202.71 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2)),V_z_2))
% 202.58/202.71 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_z_2))
% 202.58/202.71 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_z_2)) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_less__max__iff__disj,axiom,
% 202.58/202.71 ! [V_y_2,V_x_2,V_z_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2)))
% 202.58/202.71 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_x_2))
% 202.58/202.71 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_y_2)) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_le__max__iff__disj,axiom,
% 202.58/202.71 ! [V_y_2,V_x_2,V_z_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2)))
% 202.58/202.71 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),V_x_2))
% 202.58/202.71 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),V_y_2)) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_Ole__supE,axiom,
% 202.58/202.71 ! [V_x,V_b,V_a,T_a] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_a)
% 202.58/202.71 => ( 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))
% 202.58/202.71 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 202.58/202.71 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_Osup__mono,axiom,
% 202.58/202.71 ! [V_d,V_b,V_c,V_a,T_a] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_a)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 202.58/202.71 => 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))) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_Osup__least,axiom,
% 202.58/202.71 ! [V_z,V_x,V_y,T_a] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_a)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x))
% 202.58/202.71 => 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)) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_Ole__supI,axiom,
% 202.58/202.71 ! [V_b,V_x,V_a,T_a] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_a)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 202.58/202.71 => 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)) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_Osup__absorb1,axiom,
% 202.58/202.71 ! [V_x,V_y,T_a] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_a)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 202.58/202.71 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_x ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_Osup__absorb2,axiom,
% 202.58/202.71 ! [V_y,V_x,T_a] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_a)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 202.58/202.71 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_y ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_Ole__supI2,axiom,
% 202.58/202.71 ! [V_a,V_b,V_x,T_a] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_a)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 202.58/202.71 => 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))) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_Ole__supI1,axiom,
% 202.58/202.71 ! [V_b,V_a,V_x,T_a] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_a)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 202.58/202.71 => 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))) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_Ole__sup__iff,axiom,
% 202.58/202.71 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2)),V_z_2))
% 202.58/202.71 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2))
% 202.58/202.71 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_Ole__iff__sup,axiom,
% 202.58/202.71 ! [V_y_2,V_x_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 202.58/202.71 <=> hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2) = V_y_2 ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_le__maxI2,axiom,
% 202.58/202.71 ! [V_x,V_y,T_a] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_a)
% 202.58/202.71 => 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))) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_le__maxI1,axiom,
% 202.58/202.71 ! [V_y,V_x,T_a] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_a)
% 202.58/202.71 => 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))) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_max__0R,axiom,
% 202.58/202.71 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_n ).
% 202.58/202.71
% 202.58/202.71 fof(fact_max__0L,axiom,
% 202.58/202.71 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ).
% 202.58/202.71
% 202.58/202.71 fof(fact_max__of__mono,axiom,
% 202.58/202.71 ! [V_n_2,V_m_2,V_f_2,T_b,T_c] :
% 202.58/202.71 ( ( class_Orderings_Olinorder(T_c)
% 202.58/202.71 & class_Orderings_Olinorder(T_b) )
% 202.58/202.71 => ( c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2)
% 202.58/202.71 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_c),hAPP(V_f_2,V_m_2)),hAPP(V_f_2,V_n_2)) = hAPP(V_f_2,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_m_2),V_n_2)) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_Max_Oidem,axiom,
% 202.58/202.71 ! [V_x,T_a] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_a)
% 202.58/202.71 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_x) = V_x ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_sup__max,axiom,
% 202.58/202.71 ! [T_b] :
% 202.58/202.71 ( ( class_Lattices_Osemilattice__sup(T_b)
% 202.58/202.71 & class_Orderings_Olinorder(T_b) )
% 202.58/202.71 => c_Lattices_Osemilattice__sup__class_Osup(T_b) = c_Orderings_Oord__class_Omax(T_b) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_Osup__assoc,axiom,
% 202.58/202.71 ! [V_z,V_y,V_x,T_a] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_a)
% 202.58/202.71 => 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)) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_Osup_Oassoc,axiom,
% 202.58/202.71 ! [V_c,V_b,V_a,T_a] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_a)
% 202.58/202.71 => 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)) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_Osup__left__commute,axiom,
% 202.58/202.71 ! [V_z,V_y,V_x,T_a] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_a)
% 202.58/202.71 => 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)) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_Osup_Oleft__commute,axiom,
% 202.58/202.71 ! [V_c,V_a,V_b,T_a] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_a)
% 202.58/202.71 => 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)) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_Osup__left__idem,axiom,
% 202.58/202.71 ! [V_y,V_x,T_a] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_a)
% 202.58/202.71 => 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) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_Osup_Oleft__idem,axiom,
% 202.58/202.71 ! [V_b,V_a,T_a] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_a)
% 202.58/202.71 => 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) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_Osup__commute,axiom,
% 202.58/202.71 ! [V_y,V_x,T_a] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_a)
% 202.58/202.71 => 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) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_Osup_Ocommute,axiom,
% 202.58/202.71 ! [V_b,V_a,T_a] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_a)
% 202.58/202.71 => 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) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_Osup_Oidem,axiom,
% 202.58/202.71 ! [V_a,T_a] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_a)
% 202.58/202.71 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_a) = V_a ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_max__Suc__Suc,axiom,
% 202.58/202.71 ! [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)) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_max__diff__distrib__left,axiom,
% 202.58/202.71 ! [V_z,V_y,V_x,T_a] :
% 202.58/202.71 ( class_Groups_Oordered__ab__group__add(T_a)
% 202.58/202.71 => 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)) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_max__number__of,axiom,
% 202.58/202.71 ! [V_v,V_u,T_b] :
% 202.58/202.71 ( ( class_Int_Onumber(T_b)
% 202.58/202.71 & class_Orderings_Oord(T_b) )
% 202.58/202.71 => ( ( 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)))
% 202.58/202.71 => 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) )
% 202.58/202.71 & ( ~ 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)))
% 202.58/202.71 => 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) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_Odistrib__inf__le,axiom,
% 202.58/202.71 ! [V_z,V_y,V_x,T_a] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_a)
% 202.58/202.71 => 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)))) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_Odistrib__sup__le,axiom,
% 202.58/202.71 ! [V_z,V_y,V_x,T_a] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_a)
% 202.58/202.71 => 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)))) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_minus__max__eq__min,axiom,
% 202.58/202.71 ! [V_y,V_x,T_a] :
% 202.58/202.71 ( class_Groups_Olinordered__ab__group__add(T_a)
% 202.58/202.71 => 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)) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_minus__min__eq__max,axiom,
% 202.58/202.71 ! [V_y,V_x,T_a] :
% 202.58/202.71 ( class_Groups_Olinordered__ab__group__add(T_a)
% 202.58/202.71 => 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)) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_nat__minus__add__max,axiom,
% 202.58/202.71 ! [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) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_Ofold__sup__insert,axiom,
% 202.58/202.71 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_b_2),V_A_2)) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_Max_Oin__idem,axiom,
% 202.58/202.71 ! [V_x_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.58/202.71 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)) = c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_Omono__sup,axiom,
% 202.58/202.71 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] :
% 202.58/202.71 ( ( class_Lattices_Osemilattice__sup(T_c)
% 202.58/202.71 & class_Orderings_Olinorder(T_b) )
% 202.58/202.71 => ( c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2)
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_c),hAPP(V_f_2,V_A_2)),hAPP(V_f_2,V_B_2))),hAPP(V_f_2,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_A_2),V_B_2)))) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_Int__atLeastAtMost,axiom,
% 202.58/202.71 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_c_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_c_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_Int__atLeastLessThan,axiom,
% 202.58/202.71 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_c_2),V_d_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_c_2)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_Int__greaterThanAtMost,axiom,
% 202.58/202.71 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_a_2,V_b_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_c_2,V_d_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_c_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_Int__greaterThanLessThan,axiom,
% 202.58/202.71 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_a_2,V_b_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_c_2,V_d_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_c_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_Int__atLeastAtMostR2,axiom,
% 202.58/202.71 ! [V_d_2,V_c_2,V_a_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_a_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_c_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_c_2),V_d_2) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_Int__atLeastAtMostL2,axiom,
% 202.58/202.71 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_c_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_c_2),V_b_2) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_Max_OF__eq,axiom,
% 202.58/202.71 ! [V_A_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omax(T_b)),V_A_2) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_Osup__le__fold__sup,axiom,
% 202.58/202.71 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_b_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_b_2),V_A_2))) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_Max__insert,axiom,
% 202.58/202.71 ! [V_x_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_Max_Osubset__idem,axiom,
% 202.58/202.71 ! [V_B_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 202.58/202.71 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_B_2)),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)) = c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_Osup__Inf__absorb,axiom,
% 202.58/202.71 ! [V_a_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 202.58/202.71 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) = V_a_2 ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_Max__Un,axiom,
% 202.58/202.71 ! [V_B_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 202.58/202.71 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMax(T_b,V_B_2)) ) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_Max_Oeq__fold__idem_H,axiom,
% 202.58/202.71 ! [V_a_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_a_2),V_A_2) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_Max_Oinsert,axiom,
% 202.58/202.71 ! [V_x_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.58/202.71 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_Max_Oinsert__remove,axiom,
% 202.58/202.71 ! [V_x_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 202.58/202.71 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_Max_Ounion__disjoint,axiom,
% 202.58/202.71 ! [V_B_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 202.58/202.71 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => ( 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))
% 202.58/202.71 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMax(T_b,V_B_2)) ) ) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_max__ord__max,axiom,
% 202.58/202.71 ! [T_b] :
% 202.58/202.71 ( class_Orderings_Oord(T_b)
% 202.58/202.71 => c_Orderings_Oord__class_Omax(T_b) = c_Orderings_Oord_Omax(T_b,c_Orderings_Oord__class_Oless__eq(T_b)) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_Max_Oclosed,axiom,
% 202.58/202.71 ! [V_A_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_OInf__le__Sup,axiom,
% 202.58/202.71 ! [V_A_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2))) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_OSup__fin_Oremove,axiom,
% 202.58/202.71 ! [V_x_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.58/202.71 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) = V_x_2 )
% 202.58/202.71 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_sup__nat__def,axiom,
% 202.58/202.71 c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat) = c_Orderings_Oord__class_Omax(tc_Nat_Onat) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_OSup__fin_Oin__idem,axiom,
% 202.58/202.71 ! [V_x_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.58/202.71 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) = c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_OSup__fin_Osingleton,axiom,
% 202.58/202.71 ! [V_x_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_OSup__fin_OF__eq,axiom,
% 202.58/202.71 ! [V_A_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omax(T_b)),V_A_2) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_OSup__fin_Oinsert__idem,axiom,
% 202.58/202.71 ! [V_x_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_OSup__fin_Osubset__idem,axiom,
% 202.58/202.71 ! [V_B_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 202.58/202.71 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_B_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) = c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_Oinf__Sup__absorb,axiom,
% 202.58/202.71 ! [V_a_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 202.58/202.71 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_a_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) = V_a_2 ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_OSup__fin_Ounion__idem,axiom,
% 202.58/202.71 ! [V_B_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 202.58/202.71 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_B_2)) ) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_OSup__fin_Oeq__fold__idem_H,axiom,
% 202.58/202.71 ! [V_a_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_a_2),V_A_2) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_OSup__fin_Oinsert,axiom,
% 202.58/202.71 ! [V_x_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.58/202.71 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_OSup__fin_Oinsert__remove,axiom,
% 202.58/202.71 ! [V_x_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 202.58/202.71 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_OSup__fin_Ounion__inter,axiom,
% 202.58/202.71 ! [V_B_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 202.58/202.71 => ( 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))
% 202.58/202.71 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_B_2)) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_OSup__fin_Ounion__disjoint,axiom,
% 202.58/202.71 ! [V_B_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 202.58/202.71 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => ( 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))
% 202.58/202.71 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_B_2)) ) ) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_OSup__fin_Oeq__fold_H,axiom,
% 202.58/202.71 ! [V_x_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.58/202.71 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_x_2),V_A_2) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_OSup__fin_Oclosed,axiom,
% 202.58/202.71 ! [V_A_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)),V_A_2)) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_OSup__fin_Ohom__commute,axiom,
% 202.58/202.71 ! [V_N_2,V_h_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 202.58/202.71 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => hAPP(V_h_2,c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_N_2)) = c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_Max_Ohom__commute,axiom,
% 202.58/202.71 ! [V_N_2,V_h_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 202.58/202.71 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => hAPP(V_h_2,c_Big__Operators_Olinorder__class_OMax(T_b,V_N_2)) = c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_min__max_Ofold__sup__le__sup,axiom,
% 202.58/202.71 ! [V_c_2,V_b_2,V_A_2,T_b] :
% 202.58/202.71 ( class_Orderings_Olinorder(T_b)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( ! [B_x] :
% 202.58/202.71 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) )
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_c_2),V_A_2)),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_b_2),V_c_2))) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_pair__box_Osize_I1_J,axiom,
% 202.58/202.71 ! [V_b_2,V_a_2,V_fb_2,V_fa_2,T_c,T_b] : c_Nitpick_Opair__box_Opair__box__size(T_b,T_c,V_fa_2,V_fb_2,c_Nitpick_Opair__box_OPairBox(T_b,T_c,V_a_2,V_b_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(V_fa_2,V_a_2)),hAPP(V_fb_2,V_b_2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_arith__series__int,axiom,
% 202.58/202.71 ! [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)))) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_negDivAlg__eqn__1__number__of,axiom,
% 202.58/202.71 ! [V_w] :
% 202.58/202.71 ( 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)))
% 202.58/202.71 => ( ( 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),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))))
% 202.58/202.71 => 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))) )
% 202.58/202.71 & ( ~ 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),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))))
% 202.58/202.71 => 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)))) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_fold__image__reindex,axiom,
% 202.58/202.71 ! [V_z_2,V_g_2,V_h_2,T_c,V_A_2,T_b,T_d] :
% 202.58/202.71 ( class_Groups_Oab__semigroup__mult(T_d)
% 202.58/202.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.71 => ( c_Fun_Oinj__on(T_b,T_c,V_h_2,V_A_2)
% 202.58/202.71 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_c,c_Groups_Otimes__class_Otimes(T_d)),V_g_2),V_z_2),hAPP(c_Set_Oimage(T_b,T_c,V_h_2),V_A_2)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_b,c_Groups_Otimes__class_Otimes(T_d)),hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_g_2),V_h_2)),V_z_2),V_A_2) ) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_INF1__D,axiom,
% 202.58/202.71 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 202.58/202.71 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 202.58/202.71 => hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2)) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_INF1__E,axiom,
% 202.58/202.71 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 202.58/202.71 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2))
% 202.58/202.71 => ( ~ hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2))
% 202.58/202.71 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_INF2__D,axiom,
% 202.58/202.71 ! [V_a_2,V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 202.58/202.71 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 202.58/202.71 => hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2)) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_INF2__E,axiom,
% 202.58/202.71 ! [V_a_2,V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 202.58/202.71 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2))
% 202.58/202.71 => ( ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2))
% 202.58/202.71 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_INT__E,axiom,
% 202.58/202.71 ! [V_a_2,V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 202.58/202.71 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 202.58/202.71 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2)))
% 202.58/202.71 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2)) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_INT__D,axiom,
% 202.58/202.71 ! [V_a_2,V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 202.58/202.71 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2))
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_SUP2__I,axiom,
% 202.58/202.71 ! [T_d,T_c,V_c_2,V_b_2,V_B_2,V_A_2,V_a_2,T_b] :
% 202.58/202.71 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2))
% 202.58/202.71 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2)) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_finite__INT,axiom,
% 202.58/202.71 ! [V_A_2,T_c,V_I_2,T_b] :
% 202.58/202.71 ( ? [B_x] :
% 202.58/202.71 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2))
% 202.58/202.71 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_A_2,B_x))) )
% 202.58/202.71 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2))) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_SUP1__I,axiom,
% 202.58/202.71 ! [T_c,V_b_2,V_B_2,V_A_2,V_a_2,T_b] :
% 202.58/202.71 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2))
% 202.58/202.71 => hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2)) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_UN__I,axiom,
% 202.58/202.71 ! [V_B_2,V_b_2,T_c,V_A_2,V_a_2,T_b] :
% 202.58/202.71 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 202.58/202.71 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2)))
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_setsum__abs,axiom,
% 202.58/202.71 ! [V_A_2,V_f_2,T_c,T_b] :
% 202.58/202.71 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Oabs__class_Oabs(T_b)),V_f_2)),V_A_2))) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_setsum__abs__ge__zero,axiom,
% 202.58/202.71 ! [V_A_2,V_f_2,T_c,T_b] :
% 202.58/202.71 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 202.58/202.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Oabs__class_Oabs(T_b)),V_f_2)),V_A_2))) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_UN__absorb,axiom,
% 202.58/202.71 ! [V_A_2,T_c,V_I_2,V_k_2,T_b] :
% 202.58/202.71 ( hBOOL(hAPP(hAPP(c_member(T_b),V_k_2),V_I_2))
% 202.58/202.71 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_A_2,V_k_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_UN__simps_I3_J,axiom,
% 202.58/202.71 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 202.58/202.71 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 202.58/202.71 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_UN__simps_I2_J,axiom,
% 202.58/202.71 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 202.58/202.71 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 202.58/202.71 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_UN__extend__simps_I3_J,axiom,
% 202.58/202.71 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 202.58/202.71 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = V_A_2 )
% 202.58/202.71 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_UN__extend__simps_I2_J,axiom,
% 202.58/202.71 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 202.58/202.71 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = V_B_2 )
% 202.58/202.71 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_UN__insert,axiom,
% 202.58/202.71 ! [V_B_2,V_A_2,V_a_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_B_2,V_a_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_UN__Un__distrib,axiom,
% 202.58/202.71 ! [V_B_2,V_A_2,V_I_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBS(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_B_2)) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_UN__Un,axiom,
% 202.58/202.71 ! [V_M_2,V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_M_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_M_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_M_2)) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_Un__Inter,axiom,
% 202.58/202.71 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_sup__fun__def,axiom,
% 202.58/202.71 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 202.58/202.71 ( class_Lattices_Olattice(T_b)
% 202.58/202.71 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,T_b)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_sup__Un__eq,axiom,
% 202.58/202.71 ! [V_x_2,V_S_2,V_R_2,T_b] :
% 202.58/202.71 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2)),V_x_2))
% 202.58/202.71 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_R_2),V_S_2))) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_INT__simps_I7_J,axiom,
% 202.58/202.71 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_INT__simps_I6_J,axiom,
% 202.58/202.71 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_INT__extend__simps_I7_J,axiom,
% 202.58/202.71 ! [V_B_2,V_C_2,T_c,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_Un__INT__distrib,axiom,
% 202.58/202.71 ! [V_A_2,V_I_2,T_c,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2)),V_A_2)) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_INT__extend__simps_I6_J,axiom,
% 202.58/202.71 ! [V_B_2,V_A_2,V_C_2,T_c,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_Un__INT__distrib2,axiom,
% 202.58/202.71 ! [V_B_2,V_J_2,T_d,V_A_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_J_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_J_2)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool))),T_c),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2))),V_B_2))) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_sup__Un__eq2,axiom,
% 202.58/202.71 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_c,T_b] :
% 202.58/202.71 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_S_2)),V_x_2),V_y_2))
% 202.58/202.71 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_R_2),V_S_2))) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_INT__Un,axiom,
% 202.58/202.71 ! [V_M_2,V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_M_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_M_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_M_2)) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_Int__Inter__image,axiom,
% 202.58/202.71 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBS(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_A_2),V_C_2))),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_C_2))) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_UN__le__add__shift,axiom,
% 202.58/202.71 ! [V_k_2,V_M_2,V_n_2,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_n_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool),tc_Nat_Onat),V_M_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_k_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_k_2))),V_M_2) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_INT__simps_I2_J,axiom,
% 202.58/202.71 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 202.58/202.71 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) )
% 202.58/202.71 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_INT__simps_I1_J,axiom,
% 202.58/202.71 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 202.58/202.71 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) )
% 202.58/202.71 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_INT__extend__simps_I2_J,axiom,
% 202.58/202.71 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 202.58/202.71 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = V_A_2 )
% 202.58/202.71 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_INT__extend__simps_I1_J,axiom,
% 202.58/202.71 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 202.58/202.71 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = V_B_2 )
% 202.58/202.71 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.71 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) ) ) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_Int__Union,axiom,
% 202.58/202.71 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_Int__Union2,axiom,
% 202.58/202.71 ! [V_A_2,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_B_2)),V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_Int__UN__distrib2,axiom,
% 202.58/202.71 ! [V_B_2,V_J_2,T_d,V_A_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_J_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_J_2)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool))),T_c),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2))),V_B_2))) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_UN__extend__simps_I4_J,axiom,
% 202.58/202.71 ! [V_B_2,V_A_2,V_C_2,T_c,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_Int__UN__distrib,axiom,
% 202.58/202.71 ! [V_A_2,V_I_2,T_c,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2)),V_A_2)) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_UN__extend__simps_I5_J,axiom,
% 202.58/202.71 ! [V_B_2,V_C_2,T_c,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_UN__simps_I4_J,axiom,
% 202.58/202.71 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_UN__simps_I5_J,axiom,
% 202.58/202.71 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ).
% 202.58/202.71
% 202.58/202.71 fof(fact_INT__insert,axiom,
% 202.58/202.71 ! [V_B_2,V_A_2,V_a_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_B_2,V_a_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ).
% 202.58/202.71
% 202.58/202.72 fof(fact_inf__fun__def,axiom,
% 202.58/202.72 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 202.58/202.72 ( class_Lattices_Olattice(T_b)
% 202.58/202.72 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,T_b)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_INT__absorb,axiom,
% 202.58/202.72 ! [V_A_2,T_c,V_I_2,V_k_2,T_b] :
% 202.58/202.72 ( hBOOL(hAPP(hAPP(c_member(T_b),V_k_2),V_I_2))
% 202.58/202.72 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_A_2,V_k_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_inf__Int__eq,axiom,
% 202.58/202.72 ! [V_x_2,V_S_2,V_R_2,T_b] :
% 202.58/202.72 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2)),V_x_2))
% 202.58/202.72 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_R_2),V_S_2))) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_INT__Int__distrib,axiom,
% 202.58/202.72 ! [V_B_2,V_A_2,V_I_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBS(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_B_2)) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_inf__Int__eq2,axiom,
% 202.58/202.72 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_c,T_b] :
% 202.58/202.72 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_S_2)),V_x_2),V_y_2))
% 202.58/202.72 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_R_2),V_S_2))) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_setsum__shift__bounds__cl__nat__ivl,axiom,
% 202.58/202.72 ! [V_n_2,V_k_2,V_m_2,V_f_2,T_b] :
% 202.58/202.72 ( class_Groups_Ocomm__monoid__add(T_b)
% 202.58/202.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_k_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_k_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2))),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_int__setprod,axiom,
% 202.58/202.72 ! [V_A_2,V_f_2,T_b] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_b),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_of__int__setprod,axiom,
% 202.58/202.72 ! [V_A_2,V_f_2,T_c,T_b] :
% 202.58/202.72 ( ( class_Groups_Ocomm__monoid__mult(T_b)
% 202.58/202.72 & class_Rings_Oring__1(T_b) )
% 202.58/202.72 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,tc_Int_Oint),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_b,T_c),c_Int_Oring__1__class_Oof__int(T_b)),V_f_2)),V_A_2) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_setprod_Odistrib,axiom,
% 202.58/202.72 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 202.58/202.72 ( class_Groups_Ocomm__monoid__mult(T_c)
% 202.58/202.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Groups_Otimes__class_Otimes(T_c)),V_g_2)),V_h_2)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_h_2),V_A_2)) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_setprod__timesf,axiom,
% 202.58/202.72 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] :
% 202.58/202.72 ( class_Groups_Ocomm__monoid__mult(T_b)
% 202.58/202.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Otimes__class_Otimes(T_b)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),V_g_2),V_A_2)) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_abs__setprod,axiom,
% 202.58/202.72 ! [V_A_2,V_f_2,T_c,T_b] :
% 202.58/202.72 ( class_Fields_Olinordered__field(T_b)
% 202.58/202.72 => hAPP(c_Groups_Oabs__class_Oabs(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Oabs__class_Oabs(T_b)),V_f_2)),V_A_2) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_setprod__1,axiom,
% 202.58/202.72 ! [V_A_2,T_c,T_b] :
% 202.58/202.72 ( class_Groups_Ocomm__monoid__mult(T_b)
% 202.58/202.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(c_COMBK(T_b,T_c),c_Groups_Oone__class_Oone(T_b))),V_A_2) = c_Groups_Oone__class_Oone(T_b) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_setprod__dividef,axiom,
% 202.58/202.72 ! [V_g_2,V_f_2,V_A_2,T_b,T_c] :
% 202.58/202.72 ( class_Fields_Ofield__inverse__zero(T_c)
% 202.58/202.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Rings_Oinverse__class_Odivide(T_c)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_UN__extend__simps_I7_J,axiom,
% 202.58/202.72 ! [V_B_2,V_C_2,T_c,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_UN__simps_I7_J,axiom,
% 202.58/202.72 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_UN__simps_I6_J,axiom,
% 202.58/202.72 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_UN__extend__simps_I6_J,axiom,
% 202.58/202.72 ! [V_B_2,V_A_2,V_C_2,T_c,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_fun__diff__def,axiom,
% 202.58/202.72 ! [V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 202.58/202.72 ( class_Groups_Ominus(T_b)
% 202.58/202.72 => hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,T_b)),V_A_2),V_B_2),V_x_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(V_A_2,V_x_2)),hAPP(V_B_2,V_x_2)) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_inj__singleton,axiom,
% 202.58/202.72 ! [T_b] : c_Fun_Oinj__on(T_b,tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_image__constant__conv,axiom,
% 202.58/202.72 ! [V_c_2,T_c,T_b,V_A_2] :
% 202.58/202.72 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.72 => hAPP(c_Set_Oimage(T_b,T_c,hAPP(c_COMBK(T_c,T_b),V_c_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 202.58/202.72 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.72 => hAPP(c_Set_Oimage(T_b,T_c,hAPP(c_COMBK(T_c,T_b),V_c_2)),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_c),V_c_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_UN__insert__distrib,axiom,
% 202.58/202.72 ! [V_B_2,V_a_2,T_c,V_A_2,V_u_2,T_b] :
% 202.58/202.72 ( hBOOL(hAPP(hAPP(c_member(T_b),V_u_2),V_A_2))
% 202.58/202.72 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_c),V_a_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_INTER__eq__Inter__image,axiom,
% 202.58/202.72 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_A_2)) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_Inter__image__eq,axiom,
% 202.58/202.72 ! [V_A_2,V_B_2,T_c,T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_fun__Compl__def,axiom,
% 202.58/202.72 ! [V_x_2,V_A_2,T_c,T_b] :
% 202.58/202.72 ( class_Groups_Ouminus(T_b)
% 202.58/202.72 => hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,T_b)),V_A_2),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),hAPP(V_A_2,V_x_2)) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_image__ident,axiom,
% 202.58/202.72 ! [V_Y_2,T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_COMBI(T_b)),V_Y_2) = V_Y_2 ).
% 202.58/202.72
% 202.58/202.72 fof(fact_image__image,axiom,
% 202.58/202.72 ! [V_A_2,V_g_2,T_d,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Oimage(T_d,T_c,V_g_2),V_A_2)) = hAPP(c_Set_Oimage(T_d,T_b,hAPP(hAPP(c_COMBB(T_c,T_b,T_d),V_f_2),V_g_2)),V_A_2) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_INT__extend__simps_I10_J,axiom,
% 202.58/202.72 ! [V_f_2,V_B_2,T_d,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_b,tc_HOL_Obool),T_c),V_B_2),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)),V_B_2) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_INT__simps_I10_J,axiom,
% 202.58/202.72 ! [V_B_2,V_A_2,V_f_2,T_d,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_d,T_c,V_f_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_b,tc_HOL_Obool),T_d),V_B_2),V_f_2)) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_INT__insert__distrib,axiom,
% 202.58/202.72 ! [V_B_2,V_a_2,T_c,V_A_2,V_u_2,T_b] :
% 202.58/202.72 ( hBOOL(hAPP(hAPP(c_member(T_b),V_u_2),V_A_2))
% 202.58/202.72 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_c),V_a_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_inj__on__id2,axiom,
% 202.58/202.72 ! [V_A_2,T_b] : c_Fun_Oinj__on(T_b,T_b,c_COMBI(T_b),V_A_2) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_INT__simps_I5_J,axiom,
% 202.58/202.72 ! [V_B_2,V_a_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Set_Oinsert(T_b),V_a_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_INT__extend__simps_I5_J,axiom,
% 202.58/202.72 ! [V_B_2,V_C_2,T_c,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Set_Oinsert(T_b),V_a_2)),V_B_2)) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_Pow__INT__eq,axiom,
% 202.58/202.72 ! [V_B_2,V_A_2,T_c,T_b] : hAPP(c_Set_OPow(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),T_c),c_Set_OPow(T_b)),V_B_2)) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_Inter__def,axiom,
% 202.58/202.72 ! [V_S_2,T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_S_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_S_2),c_COMBI(tc_fun(T_b,tc_HOL_Obool))) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_K__record__comp,axiom,
% 202.58/202.72 ! [V_x_2,V_f_2,V_c_2,T_d,T_b,T_c] : hAPP(hAPP(c_Fun_Ocomp(T_c,T_b,T_d,hAPP(c_COMBK(T_b,T_c),V_c_2)),V_f_2),V_x_2) = V_c_2 ).
% 202.58/202.72
% 202.58/202.72 fof(fact_o__eq__dest__lhs,axiom,
% 202.58/202.72 ! [V_v_2,V_c_2,V_b_2,V_a_2,T_b,T_c,T_d] :
% 202.58/202.72 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_b_2) = V_c_2
% 202.58/202.72 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,V_v_2) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_INF__commute,axiom,
% 202.58/202.72 ! [V_f_2,V_B_2,T_d,V_A_2,T_c,T_b] :
% 202.58/202.72 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 202.58/202.72 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),T_b,T_c),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,T_b),V_B_2)),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,T_b),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_b),T_b,T_d),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),V_A_2)),hAPP(c_COMBC(T_c,T_d,T_b),V_f_2))) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_INFI__apply,axiom,
% 202.58/202.72 ! [V_x_2,V_f_2,V_A_2,T_d,T_c,T_b] :
% 202.58/202.72 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 202.58/202.72 => hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_d,T_b)),V_A_2),V_f_2),V_x_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),V_A_2),hAPP(hAPP(c_COMBC(T_c,T_d,T_b),V_f_2),V_x_2)) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_INT__simps_I8_J,axiom,
% 202.58/202.72 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_INT__extend__simps_I8_J,axiom,
% 202.58/202.72 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_A_2)),V_B_2) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_o__def,axiom,
% 202.58/202.72 ! [V_x_2,V_g_2,V_f_2,T_d,T_b,T_c] : hAPP(hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2),V_x_2) = hAPP(V_f_2,hAPP(V_g_2,V_x_2)) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_o__assoc,axiom,
% 202.58/202.72 ! [V_h_2,V_g_2,T_e,V_f_2,T_b,T_c,T_d] : hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_2),hAPP(c_Fun_Ocomp(T_e,T_d,T_b,V_g_2),V_h_2)) = hAPP(c_Fun_Ocomp(T_e,T_c,T_b,hAPP(c_Fun_Ocomp(T_d,T_c,T_e,V_f_2),V_g_2)),V_h_2) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_pair__box_Oinject,axiom,
% 202.58/202.72 ! [V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] :
% 202.58/202.72 ( c_Nitpick_Opair__box_OPairBox(T_b,T_c,V_a_2,V_b_2) = c_Nitpick_Opair__box_OPairBox(T_b,T_c,V_a_H_2,V_b_H_2)
% 202.58/202.72 <=> ( V_a_2 = V_a_H_2
% 202.58/202.72 & V_b_2 = V_b_H_2 ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_o__apply,axiom,
% 202.58/202.72 ! [V_x_2,V_g_2,V_f_2,T_d,T_b,T_c] : hAPP(hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2),V_x_2) = hAPP(V_f_2,hAPP(V_g_2,V_x_2)) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_comp__cong,axiom,
% 202.58/202.72 ! [T_f,T_e,T_d,T_b,T_c,V_x_H_2,V_g_H_2,V_f_H_2,V_x_2,V_g_2,V_f_2] :
% 202.58/202.72 ( 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))
% 202.58/202.72 => hAPP(hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Fun_Ocomp(T_e,T_b,T_f,V_f_H_2),V_g_H_2),V_x_H_2) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_o__eq__dest,axiom,
% 202.58/202.72 ! [V_v_2,V_d_2,V_c_2,T_e,V_b_2,V_a_2,T_b,T_c,T_d] :
% 202.58/202.72 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_b_2) = hAPP(c_Fun_Ocomp(T_e,T_c,T_b,V_c_2),V_d_2)
% 202.58/202.72 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,hAPP(V_d_2,V_v_2)) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_o__eq__elim,axiom,
% 202.58/202.72 ! [V_d_2,V_c_2,T_e,V_b_2,V_a_2,T_b,T_c,T_d] :
% 202.58/202.72 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_b_2) = hAPP(c_Fun_Ocomp(T_e,T_c,T_b,V_c_2),V_d_2)
% 202.58/202.72 => ! [B_v] : hAPP(V_a_2,hAPP(V_b_2,B_v)) = hAPP(V_c_2,hAPP(V_d_2,B_v)) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_fun__upd__def,axiom,
% 202.58/202.72 ! [V_b_2,V_f_2,T_c,T_b,V_a_2,V_x_2] :
% 202.58/202.72 ( ( V_x_2 = V_a_2
% 202.58/202.72 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_a_2,V_b_2),V_x_2) = V_b_2 )
% 202.58/202.72 & ( V_x_2 != V_a_2
% 202.58/202.72 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_a_2,V_b_2),V_x_2) = hAPP(V_f_2,V_x_2) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_pred__equals__eq2,axiom,
% 202.58/202.72 ! [V_S_2,V_R_2,T_c,T_b] :
% 202.58/202.72 ( hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_R_2) = hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_S_2)
% 202.58/202.72 <=> V_R_2 = V_S_2 ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_INT__iff,axiom,
% 202.58/202.72 ! [V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 202.58/202.72 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 202.58/202.72 <=> ! [B_x] :
% 202.58/202.72 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 202.58/202.72 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,B_x))) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_pred__equals__eq,axiom,
% 202.58/202.72 ! [V_S_2,V_R_2,T_b] :
% 202.58/202.72 ( hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_R_2) = hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2)
% 202.58/202.72 <=> V_R_2 = V_S_2 ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_UN__iff,axiom,
% 202.58/202.72 ! [V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 202.58/202.72 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 202.58/202.72 <=> ? [B_x] :
% 202.58/202.72 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 202.58/202.72 & hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,B_x))) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_Compl__INT,axiom,
% 202.58/202.72 ! [V_B_2,V_A_2,T_c,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool))),V_B_2)) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_Compl__UN,axiom,
% 202.58/202.72 ! [V_B_2,V_A_2,T_c,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool))),V_B_2)) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_UN__simps_I8_J,axiom,
% 202.58/202.72 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_UN__extend__simps_I8_J,axiom,
% 202.58/202.72 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_A_2)),V_B_2) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_Union__def,axiom,
% 202.58/202.72 ! [V_S_2,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_S_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_S_2),c_COMBI(tc_fun(T_b,tc_HOL_Obool))) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_SUPR__apply,axiom,
% 202.58/202.72 ! [V_x_2,V_f_2,V_A_2,T_d,T_c,T_b] :
% 202.58/202.72 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 202.58/202.72 => hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,T_b)),V_A_2),V_f_2),V_x_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),V_A_2),hAPP(hAPP(c_COMBC(T_c,T_d,T_b),V_f_2),V_x_2)) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_SUP__commute,axiom,
% 202.58/202.72 ! [V_f_2,V_B_2,T_d,V_A_2,T_c,T_b] :
% 202.58/202.72 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 202.58/202.72 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),T_b,T_c),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,T_b),V_B_2)),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,T_b),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_b),T_b,T_d),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),V_A_2)),hAPP(c_COMBC(T_c,T_d,T_b),V_f_2))) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_SUP1__iff,axiom,
% 202.58/202.72 ! [V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 202.58/202.72 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2))
% 202.58/202.72 <=> ? [B_x] :
% 202.58/202.72 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 202.58/202.72 & hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_UN__UN__flatten,axiom,
% 202.58/202.72 ! [V_C_2,V_B_2,V_A_2,T_d,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),T_d),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)),V_C_2)) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_UN__simps_I9_J,axiom,
% 202.58/202.72 ! [V_C_2,V_B_2,V_A_2,T_d,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),T_d),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)),V_C_2)) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_UN__extend__simps_I9_J,axiom,
% 202.58/202.72 ! [V_C_2,V_B_2,T_d,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool))),V_B_2)),V_C_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_INT__extend__simps_I9_J,axiom,
% 202.58/202.72 ! [V_C_2,V_B_2,T_d,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool))),V_B_2)),V_C_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_INT__simps_I9_J,axiom,
% 202.58/202.72 ! [V_C_2,V_B_2,V_A_2,T_d,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),T_d),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)),V_C_2)) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_UN__extend__simps_I10_J,axiom,
% 202.58/202.72 ! [V_f_2,V_B_2,T_d,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_b,tc_HOL_Obool),T_c),V_B_2),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)),V_B_2) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_image__UN,axiom,
% 202.58/202.72 ! [V_B_2,V_A_2,T_d,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Set_Oimage(T_c,T_b,V_f_2)),V_B_2)) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_UN__simps_I10_J,axiom,
% 202.58/202.72 ! [V_B_2,V_A_2,V_f_2,T_d,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_d,T_c,V_f_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_b,tc_HOL_Obool),T_d),V_B_2),V_f_2)) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_image__Union,axiom,
% 202.58/202.72 ! [V_S_2,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_S_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_S_2),c_Set_Oimage(T_c,T_b,V_f_2)) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_image__compose,axiom,
% 202.58/202.72 ! [V_r_2,V_g_2,V_f_2,T_d,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,hAPP(c_Fun_Ocomp(T_d,T_b,T_c,V_f_2),V_g_2)),V_r_2) = hAPP(c_Set_Oimage(T_d,T_b,V_f_2),hAPP(c_Set_Oimage(T_c,T_d,V_g_2),V_r_2)) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_UNION__empty__conv_I1_J,axiom,
% 202.58/202.72 ! [V_B_2,V_A_2,T_c,T_b] :
% 202.58/202.72 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)
% 202.58/202.72 <=> ! [B_x] :
% 202.58/202.72 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 202.58/202.72 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_UN__empty2,axiom,
% 202.58/202.72 ! [V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_UN__constant,axiom,
% 202.58/202.72 ! [V_c_2,T_c,T_b,V_A_2] :
% 202.58/202.72 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.72 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_c_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 202.58/202.72 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.72 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_c_2)) = V_c_2 ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_UNION__empty__conv_I2_J,axiom,
% 202.58/202.72 ! [V_B_2,V_A_2,T_b,T_c] :
% 202.58/202.72 ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.72 <=> ! [B_x] :
% 202.58/202.72 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 202.58/202.72 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_SUP__const,axiom,
% 202.58/202.72 ! [V_M_2,T_b,V_A_2,T_c] :
% 202.58/202.72 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 202.58/202.72 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.72 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_A_2),hAPP(c_COMBK(T_c,T_b),V_M_2)) = V_M_2 ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_bot__empty__eq2,axiom,
% 202.58/202.72 ! [V_y_2,V_x_2,T_c,T_b] :
% 202.58/202.72 ( hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_x_2),V_y_2))
% 202.58/202.72 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)))) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_bot__fun__def,axiom,
% 202.58/202.72 ! [V_x_2,T_c,T_b] :
% 202.58/202.72 ( class_Orderings_Obot(T_b)
% 202.58/202.72 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_bot__empty__eq,axiom,
% 202.58/202.72 ! [V_x_2,T_b] :
% 202.58/202.72 ( hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_x_2))
% 202.58/202.72 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_INF__const,axiom,
% 202.58/202.72 ! [V_M_2,T_b,V_A_2,T_c] :
% 202.58/202.72 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 202.58/202.72 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.72 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_A_2),hAPP(c_COMBK(T_c,T_b),V_M_2)) = V_M_2 ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_inj__on__imageI2,axiom,
% 202.58/202.72 ! [V_A_2,V_f_2,V_f_H_2,T_d,T_c,T_b] :
% 202.58/202.72 ( c_Fun_Oinj__on(T_b,T_c,hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_H_2),V_f_2),V_A_2)
% 202.58/202.72 => c_Fun_Oinj__on(T_b,T_d,V_f_2,V_A_2) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_fun__upd__comp,axiom,
% 202.58/202.72 ! [V_y_2,V_x_2,V_g_2,V_f_2,T_b,T_c,T_d] : hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_2),c_Fun_Ofun__upd(T_b,T_d,V_g_2,V_x_2,V_y_2)) = c_Fun_Ofun__upd(T_b,T_c,hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_2),V_g_2),V_x_2,hAPP(V_f_2,V_y_2)) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_Powp__def,axiom,
% 202.58/202.72 ! [V_B_2,V_A_2,T_b] :
% 202.58/202.72 ( hBOOL(hAPP(c_Predicate_OPowp(T_b,V_A_2),V_B_2))
% 202.58/202.72 <=> ! [B_x] :
% 202.58/202.72 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2))
% 202.58/202.72 => hBOOL(hAPP(V_A_2,B_x)) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_UN__lessThan__UNIV,axiom,
% 202.58/202.72 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)) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_INT__constant,axiom,
% 202.58/202.72 ! [V_c_2,T_c,T_b,V_A_2] :
% 202.58/202.72 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.72 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_c_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) )
% 202.58/202.72 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.72 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_c_2)) = V_c_2 ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_INT__empty,axiom,
% 202.58/202.72 ! [V_B_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))),V_B_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_range__composition,axiom,
% 202.58/202.72 ! [V_g_2,V_f_2,T_d,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,hAPP(hAPP(c_COMBB(T_d,T_b,T_c),V_f_2),V_g_2)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = hAPP(c_Set_Oimage(T_d,T_b,V_f_2),hAPP(c_Set_Oimage(T_c,T_d,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_SUP__UN__eq2,axiom,
% 202.58/202.72 ! [V_y_2,V_x_2,V_r_2,T_d,T_c,T_b] :
% 202.58/202.72 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),T_b),hAPP(c_COMBC(T_c,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_c),c_COMBC(T_d,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_c,T_d)),tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),T_c),hAPP(c_COMBB(tc_prod(T_c,T_d),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool),T_d),c_member(tc_prod(T_c,T_d)))),c_Product__Type_OPair(T_c,T_d))))),V_r_2)),V_x_2),V_y_2))
% 202.58/202.72 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_x_2),V_y_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_r_2))) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_INF__INT__eq2,axiom,
% 202.58/202.72 ! [V_y_2,V_x_2,V_r_2,T_d,T_c,T_b] :
% 202.58/202.72 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),T_b),hAPP(c_COMBC(T_c,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_c),c_COMBC(T_d,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_c,T_d)),tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),T_c),hAPP(c_COMBB(tc_prod(T_c,T_d),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool),T_d),c_member(tc_prod(T_c,T_d)))),c_Product__Type_OPair(T_c,T_d))))),V_r_2)),V_x_2),V_y_2))
% 202.58/202.72 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_x_2),V_y_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_r_2))) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_INTER__UNIV__conv_I2_J,axiom,
% 202.58/202.72 ! [V_B_2,V_A_2,T_b,T_c] :
% 202.58/202.72 ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.72 <=> ! [B_x] :
% 202.58/202.72 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 202.58/202.72 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_INTER__UNIV__conv_I1_J,axiom,
% 202.58/202.72 ! [V_B_2,V_A_2,T_c,T_b] :
% 202.58/202.72 ( c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)
% 202.58/202.72 <=> ! [B_x] :
% 202.58/202.72 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 202.58/202.72 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_INF__INT__eq,axiom,
% 202.58/202.72 ! [V_x_2,V_r_2,T_c,T_b] :
% 202.58/202.72 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c))),V_r_2)),V_x_2))
% 202.58/202.72 <=> hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_r_2))) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_inj__fun,axiom,
% 202.58/202.72 ! [T_d,V_f_2,T_c,T_b] :
% 202.58/202.72 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 202.58/202.72 => c_Fun_Oinj__on(T_b,tc_fun(T_d,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_d,T_c),T_b),c_COMBK(T_c,T_d)),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_UN__atMost__UNIV,axiom,
% 202.58/202.72 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)) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_UN__atLeast__UNIV,axiom,
% 202.58/202.72 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)) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_INT__extend__simps_I4_J,axiom,
% 202.58/202.72 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 202.58/202.72 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.72 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = V_A_2 )
% 202.58/202.72 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.72 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_diff__Suc,axiom,
% 202.58/202.72 ! [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)) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_INT__extend__simps_I3_J,axiom,
% 202.58/202.72 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 202.58/202.72 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.72 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))),V_B_2) )
% 202.58/202.72 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.72 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_INT__simps_I3_J,axiom,
% 202.58/202.72 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 202.58/202.72 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.72 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) )
% 202.58/202.72 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.72 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_UN__simps_I1_J,axiom,
% 202.58/202.72 ! [V_B_2,V_a_2,T_c,T_b,V_C_2] :
% 202.58/202.72 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.72 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_c),V_a_2)),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 202.58/202.72 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.72 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_c),V_a_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_UN__singleton,axiom,
% 202.58/202.72 ! [V_A_2,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_A_2 ).
% 202.58/202.72
% 202.58/202.72 fof(fact_UN__extend__simps_I1_J,axiom,
% 202.58/202.72 ! [V_B_2,V_a_2,T_c,T_b,V_C_2] :
% 202.58/202.72 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.72 => hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) )
% 202.58/202.72 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.72 => hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_c),V_a_2)),V_B_2)) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_finite__range__imageI,axiom,
% 202.58/202.72 ! [V_f_2,T_d,V_g_2,T_c,T_b] :
% 202.58/202.72 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Oimage(T_c,T_b,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))))
% 202.58/202.72 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),hAPP(c_Set_Oimage(T_c,T_d,hAPP(hAPP(c_COMBB(T_b,T_d,T_c),V_f_2),V_g_2)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_SUP__UN__eq,axiom,
% 202.58/202.72 ! [V_x_2,V_r_2,T_c,T_b] :
% 202.58/202.72 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c))),V_r_2)),V_x_2))
% 202.58/202.72 <=> hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_r_2))) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_setsum__subtractf,axiom,
% 202.58/202.72 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] :
% 202.58/202.72 ( class_Groups_Oab__group__add(T_b)
% 202.58/202.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Ominus__class_Ominus(T_b)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_g_2),V_A_2)) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_int__setsum,axiom,
% 202.58/202.72 ! [V_A_2,V_f_2,T_b] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_b),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_of__int__setsum,axiom,
% 202.58/202.72 ! [V_A_2,V_f_2,T_c,T_b] :
% 202.58/202.72 ( class_Rings_Oring__1(T_b)
% 202.58/202.72 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,tc_Int_Oint),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_b,T_c),c_Int_Oring__1__class_Oof__int(T_b)),V_f_2)),V_A_2) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_setsum__negf,axiom,
% 202.58/202.72 ! [V_A_2,V_f_2,T_c,T_b] :
% 202.58/202.72 ( class_Groups_Oab__group__add(T_b)
% 202.58/202.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Ouminus__class_Ouminus(T_b)),V_f_2)),V_A_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_setsum__product,axiom,
% 202.58/202.72 ! [V_B_2,V_g_2,T_d,V_A_2,V_f_2,T_c,T_b] :
% 202.58/202.72 ( class_Rings_Osemiring__0(T_b)
% 202.58/202.72 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_b),V_g_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),tc_fun(tc_fun(T_d,tc_HOL_Obool),T_b),T_c),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,T_b),tc_fun(T_d,T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_b),tc_fun(tc_fun(T_d,T_b),tc_fun(T_d,T_b)),T_c),c_COMBB(T_b,T_b,T_d)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Otimes__class_Otimes(T_b)),V_f_2))),V_g_2))),V_B_2)),V_A_2) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_setsum__left__distrib,axiom,
% 202.58/202.72 ! [V_r_2,V_A_2,V_f_2,T_c,T_b] :
% 202.58/202.72 ( class_Rings_Osemiring__0(T_b)
% 202.58/202.72 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)),V_r_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Otimes__class_Otimes(T_b)),V_f_2)),V_r_2)),V_A_2) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_setsum__right__distrib,axiom,
% 202.58/202.72 ! [V_A_2,V_f_2,T_c,V_r_2,T_b] :
% 202.58/202.72 ( class_Rings_Osemiring__0(T_b)
% 202.58/202.72 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_r_2),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),hAPP(c_Groups_Otimes__class_Otimes(T_b),V_r_2)),V_f_2)),V_A_2) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_setsum__commute,axiom,
% 202.58/202.72 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] :
% 202.58/202.72 ( class_Groups_Ocomm__monoid__add(T_b)
% 202.58/202.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),tc_fun(tc_fun(T_d,tc_HOL_Obool),T_b),T_c),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_b)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_b),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_b),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_b),T_d),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b)),hAPP(c_COMBC(T_c,T_d,T_b),V_f_2))),V_A_2)),V_B_2) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_abs__setsum__abs,axiom,
% 202.58/202.72 ! [V_A_2,V_f_2,T_c,T_b] :
% 202.58/202.72 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 202.58/202.72 => hAPP(c_Groups_Oabs__class_Oabs(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Oabs__class_Oabs(T_b)),V_f_2)),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Oabs__class_Oabs(T_b)),V_f_2)),V_A_2) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_setsum__divide__distrib,axiom,
% 202.58/202.72 ! [V_r_2,V_A_2,V_f_2,T_c,T_b] :
% 202.58/202.72 ( class_Fields_Ofield(T_b)
% 202.58/202.72 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)),V_r_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Rings_Oinverse__class_Odivide(T_b)),V_f_2)),V_r_2)),V_A_2) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_setsum__0,axiom,
% 202.58/202.72 ! [V_A_2,T_c,T_b] :
% 202.58/202.72 ( class_Groups_Ocomm__monoid__add(T_b)
% 202.58/202.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(c_COMBK(T_b,T_c),c_Groups_Ozero__class_Ozero(T_b))),V_A_2) = c_Groups_Ozero__class_Ozero(T_b) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_setsum__addf,axiom,
% 202.58/202.72 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] :
% 202.58/202.72 ( class_Groups_Ocomm__monoid__add(T_b)
% 202.58/202.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Oplus__class_Oplus(T_b)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_g_2),V_A_2)) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_setsum_Odistrib,axiom,
% 202.58/202.72 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 202.58/202.72 ( class_Groups_Ocomm__monoid__add(T_c)
% 202.58/202.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Groups_Oplus__class_Oplus(T_c)),V_g_2)),V_h_2)),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_h_2),V_A_2)) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_less__eq__Suc__le__raw,axiom,
% 202.58/202.72 ! [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)) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_inj__on__add__nat,axiom,
% 202.58/202.72 ! [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) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_le__SUPI,axiom,
% 202.58/202.72 ! [V_M_2,V_A_2,V_i_2,T_b,T_c] :
% 202.58/202.72 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 202.58/202.72 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2))
% 202.58/202.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_M_2,V_i_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_A_2),V_M_2))) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_UN__subset__iff,axiom,
% 202.58/202.72 ! [V_B_2,V_A_2,V_I_2,T_c,T_b] :
% 202.58/202.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)),V_B_2))
% 202.58/202.72 <=> ! [B_x] :
% 202.58/202.72 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_I_2))
% 202.58/202.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_A_2,B_x)),V_B_2)) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_less__SUP__iff,axiom,
% 202.58/202.72 ! [V_f_2,V_A_2,T_c,V_a_2,T_b] :
% 202.58/202.72 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 202.58/202.72 & class_Orderings_Olinorder(T_b) )
% 202.58/202.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),V_A_2),V_f_2)))
% 202.58/202.72 <=> ? [B_x] :
% 202.58/202.72 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 202.58/202.72 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(V_f_2,B_x))) ) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_SUP__le__iff,axiom,
% 202.58/202.72 ! [V_u_2,V_M_2,V_A_2,T_c,T_b] :
% 202.58/202.72 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 202.58/202.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),V_A_2),V_M_2)),V_u_2))
% 202.58/202.72 <=> ! [B_x] :
% 202.58/202.72 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 202.58/202.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_M_2,B_x)),V_u_2)) ) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_le__INF__iff,axiom,
% 202.58/202.72 ! [V_M_2,V_A_2,T_c,V_u_2,T_b] :
% 202.58/202.72 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 202.58/202.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_u_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),V_A_2),V_M_2)))
% 202.58/202.72 <=> ! [B_x] :
% 202.58/202.72 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 202.58/202.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_u_2),hAPP(V_M_2,B_x))) ) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_INF__less__iff,axiom,
% 202.58/202.72 ! [V_a_2,V_f_2,V_A_2,T_c,T_b] :
% 202.58/202.72 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 202.58/202.72 & class_Orderings_Olinorder(T_b) )
% 202.58/202.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),V_A_2),V_f_2)),V_a_2))
% 202.58/202.72 <=> ? [B_x] :
% 202.58/202.72 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 202.58/202.72 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,B_x)),V_a_2)) ) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_less__eq__nat_Osimps_I2_J,axiom,
% 202.58/202.72 ! [V_n_2,V_m_2] :
% 202.58/202.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_n_2))
% 202.58/202.72 <=> 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)) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_pred__subset__eq2,axiom,
% 202.58/202.72 ! [V_S_2,V_R_2,T_c,T_b] :
% 202.58/202.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_S_2)))
% 202.58/202.72 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_R_2),V_S_2)) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_INT__subset__iff,axiom,
% 202.58/202.72 ! [V_A_2,V_I_2,T_c,V_B_2,T_b] :
% 202.58/202.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)))
% 202.58/202.72 <=> ! [B_x] :
% 202.58/202.72 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_I_2))
% 202.58/202.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(V_A_2,B_x))) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_pred__subset__eq,axiom,
% 202.58/202.72 ! [V_S_2,V_R_2,T_b] :
% 202.58/202.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2)))
% 202.58/202.72 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_R_2),V_S_2)) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_INT__lower,axiom,
% 202.58/202.72 ! [V_B_2,T_c,V_A_2,V_a_2,T_b] :
% 202.58/202.72 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 202.58/202.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(V_B_2,V_a_2))) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_UN__upper,axiom,
% 202.58/202.72 ! [V_B_2,T_c,V_A_2,V_a_2,T_b] :
% 202.58/202.72 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 202.58/202.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_B_2,V_a_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_INF__leI,axiom,
% 202.58/202.72 ! [V_M_2,V_A_2,V_i_2,T_b,T_c] :
% 202.58/202.72 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 202.58/202.72 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2))
% 202.58/202.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_A_2),V_M_2)),hAPP(V_M_2,V_i_2))) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_nat__number__of__Bit0,axiom,
% 202.58/202.72 ! [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))) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_fun__left__comm_Ofun__comp__comm,axiom,
% 202.58/202.72 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 202.58/202.72 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 202.58/202.72 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_y_2)),hAPP(V_f_2,V_x_2)) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_fun__left__comm_Ofun__left__comm__apply,axiom,
% 202.58/202.72 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 202.58/202.72 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 202.58/202.72 => c_Finite__Set_Ofun__left__comm(T_d,T_c,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,T_c),T_d),V_f_2),V_g_2)) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_fold__image__def,axiom,
% 202.58/202.72 ! [V_g_2,V_f_2,T_c,T_b] : hAPP(c_Finite__Set_Ofold__image(T_b,T_c,V_f_2),V_g_2) = c_Finite__Set_Ofold(T_c,T_b,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),V_f_2),V_g_2)) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_of__nat__setsum,axiom,
% 202.58/202.72 ! [V_A_2,V_f_2,T_c,T_b] :
% 202.58/202.72 ( class_Rings_Osemiring__1(T_b)
% 202.58/202.72 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,T_c),c_Nat_Osemiring__1__class_Oof__nat(T_b)),V_f_2)),V_A_2) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_fun__left__comm__idem_Ofun__left__comm__idem__apply,axiom,
% 202.58/202.72 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 202.58/202.72 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 202.58/202.72 => c_Finite__Set_Ofun__left__comm__idem(T_d,T_c,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,T_c),T_d),V_f_2),V_g_2)) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_fun__left__comm__idem_Ofun__comp__idem,axiom,
% 202.58/202.72 ! [V_x_2,V_f_2,T_c,T_b] :
% 202.58/202.72 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 202.58/202.72 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_x_2)) = hAPP(V_f_2,V_x_2) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_transfer__nat__int__sum__prod_I2_J,axiom,
% 202.58/202.72 ! [V_A_2,V_f_2,T_b] :
% 202.58/202.72 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 202.58/202.72 & class_Groups_Ocomm__monoid__mult(T_b) )
% 202.58/202.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),V_f_2),c_Int_Onat)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_setsum__shift__bounds__cl__Suc__ivl,axiom,
% 202.58/202.72 ! [V_n_2,V_m_2,V_f_2,T_b] :
% 202.58/202.72 ( class_Groups_Ocomm__monoid__add(T_b)
% 202.58/202.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2),hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),c_Nat_OSuc)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_UN__UN__finite__eq,axiom,
% 202.58/202.72 ! [V_A_2,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),tc_Nat_Onat),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool))),c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_A_2) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_card__eq__setsum,axiom,
% 202.58/202.72 ! [V_A_2,T_b] : hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,T_b),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_A_2) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_setsum__shift__bounds__nat__ivl,axiom,
% 202.58/202.72 ! [V_n_2,V_k_2,V_m_2,V_f_2,T_b] :
% 202.58/202.72 ( class_Groups_Ocomm__monoid__add(T_b)
% 202.58/202.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_k_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_k_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2))),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2)) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_transfer__nat__int__sum__prod2_I1_J,axiom,
% 202.58/202.72 ! [V_A_2,V_f_2,T_b] : hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Int_Onat,hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_b),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2)) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_setsum__shift__bounds__Suc__ivl,axiom,
% 202.58/202.72 ! [V_n_2,V_m_2,V_f_2,T_b] :
% 202.58/202.72 ( class_Groups_Ocomm__monoid__add(T_b)
% 202.58/202.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2)),hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),c_Nat_OSuc)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2)) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_min__Suc2,axiom,
% 202.58/202.72 ! [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) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_min__Suc1,axiom,
% 202.58/202.72 ! [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) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_UNION__eq__Union__image,axiom,
% 202.58/202.72 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_A_2)) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_Union__image__eq,axiom,
% 202.58/202.72 ! [V_A_2,V_B_2,T_c,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_max__Suc2,axiom,
% 202.58/202.72 ! [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) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_max__Suc1,axiom,
% 202.58/202.72 ! [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) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_UN__Pow__subset,axiom,
% 202.58/202.72 ! [V_B_2,V_A_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),T_c),c_Set_OPow(T_b)),V_B_2))),hAPP(c_Set_OPow(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_of__nat__setprod,axiom,
% 202.58/202.72 ! [V_A_2,V_f_2,T_c,T_b] :
% 202.58/202.72 ( ( class_Groups_Ocomm__monoid__mult(T_b)
% 202.58/202.72 & class_Rings_Osemiring__1(T_b) )
% 202.58/202.72 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,T_c),c_Nat_Osemiring__1__class_Oof__nat(T_b)),V_f_2)),V_A_2) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_transfer__nat__int__sum__prod2_I2_J,axiom,
% 202.58/202.72 ! [V_A_2,V_f_2,T_b] : hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Int_Onat,hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_b),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2)) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_image__add__atLeastLessThan,axiom,
% 202.58/202.72 ! [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)) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_image__add__atLeastAtMost,axiom,
% 202.58/202.72 ! [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)) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_setsum__delta,axiom,
% 202.58/202.72 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 202.58/202.72 ( class_Groups_Ocomm__monoid__add(T_c)
% 202.58/202.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 202.58/202.72 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 202.58/202.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_c))),V_S_2) = hAPP(V_b_2,V_a_2) )
% 202.58/202.72 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 202.58/202.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_c))),V_S_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_setsum__delta_H,axiom,
% 202.58/202.72 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 202.58/202.72 ( class_Groups_Ocomm__monoid__add(T_c)
% 202.58/202.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 202.58/202.72 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 202.58/202.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(c_fequal,V_a_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_c))),V_S_2) = hAPP(V_b_2,V_a_2) )
% 202.58/202.72 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 202.58/202.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(c_fequal,V_a_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_c))),V_S_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_image__constant,axiom,
% 202.58/202.72 ! [V_c_2,T_c,V_A_2,V_x_2,T_b] :
% 202.58/202.72 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.58/202.72 => hAPP(c_Set_Oimage(T_b,T_c,hAPP(c_COMBK(T_c,T_b),V_c_2)),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_c),V_c_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_INT__greaterThan__UNIV,axiom,
% 202.58/202.72 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)) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_setprod__delta,axiom,
% 202.58/202.72 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 202.58/202.72 ( class_Groups_Ocomm__monoid__mult(T_c)
% 202.58/202.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 202.58/202.72 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 202.58/202.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),c_Groups_Oone__class_Oone(T_c))),V_S_2) = hAPP(V_b_2,V_a_2) )
% 202.58/202.72 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 202.58/202.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),c_Groups_Oone__class_Oone(T_c))),V_S_2) = c_Groups_Oone__class_Oone(T_c) ) ) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_setprod__delta_H,axiom,
% 202.58/202.72 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 202.58/202.72 ( class_Groups_Ocomm__monoid__mult(T_c)
% 202.58/202.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 202.58/202.72 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 202.58/202.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(c_fequal,V_a_2))),V_b_2)),c_Groups_Oone__class_Oone(T_c))),V_S_2) = hAPP(V_b_2,V_a_2) )
% 202.58/202.72 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 202.58/202.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(c_fequal,V_a_2))),V_b_2)),c_Groups_Oone__class_Oone(T_c))),V_S_2) = c_Groups_Oone__class_Oone(T_c) ) ) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_image__eq__UN,axiom,
% 202.58/202.72 ! [V_A_2,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Set_Oinsert(T_b)),V_f_2)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_INT__simps_I4_J,axiom,
% 202.58/202.72 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 202.58/202.72 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.72 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) )
% 202.58/202.72 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.72 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_setsum__constant,axiom,
% 202.58/202.72 ! [V_A_2,V_y_2,T_c,T_b] :
% 202.58/202.72 ( class_Rings_Osemiring__1(T_b)
% 202.58/202.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(c_COMBK(T_b,T_c),V_y_2)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(c_Finite__Set_Ocard(T_c),V_A_2))),V_y_2) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_power__number__of__even,axiom,
% 202.58/202.72 ! [V_w_2,V_z_2,T_b] :
% 202.58/202.72 ( class_Int_Onumber__ring(T_b)
% 202.58/202.72 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(V_w_2))) = hAPP(hAPP(c_HOL_OLet(T_b,T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),c_Groups_Otimes__class_Otimes(T_b)),c_COMBI(T_b))) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_fold__image__distrib,axiom,
% 202.58/202.72 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 202.58/202.72 ( class_Groups_Ocomm__monoid__mult(T_c)
% 202.58/202.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.72 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),hAPP(hAPP(c_COMBS(T_b,T_c,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Groups_Otimes__class_Otimes(T_c)),V_g_2)),V_h_2)),c_Groups_Oone__class_Oone(T_c)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_A_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_h_2),c_Groups_Oone__class_Oone(T_c)),V_A_2)) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_dual__max,axiom,
% 202.58/202.72 ! [T_b] :
% 202.58/202.72 ( class_Orderings_Olinorder(T_b)
% 202.58/202.72 => c_Orderings_Oord_Omax(T_b,hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(T_b))) = c_Orderings_Oord__class_Omin(T_b) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_dual__min,axiom,
% 202.58/202.72 ! [T_b] :
% 202.58/202.72 ( class_Orderings_Olinorder(T_b)
% 202.58/202.72 => c_Orderings_Oord_Omin(T_b,hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(T_b))) = c_Orderings_Oord__class_Omax(T_b) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_setprod__constant,axiom,
% 202.58/202.72 ! [V_y_2,V_A_2,T_b,T_c] :
% 202.58/202.72 ( class_Groups_Ocomm__monoid__mult(T_c)
% 202.58/202.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(c_COMBK(T_c,T_b),V_y_2)),V_A_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_c),V_y_2),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_sup__SUPR__fold__sup,axiom,
% 202.58/202.72 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 202.58/202.72 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 202.58/202.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.72 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_c),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_A_2),V_f_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Lattices_Osemilattice__sup__class_Osup(T_c)),V_f_2)),V_B_2),V_A_2) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_inf__INFI__fold__inf,axiom,
% 202.58/202.72 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 202.58/202.72 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 202.58/202.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.72 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_c),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_A_2),V_f_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Lattices_Osemilattice__inf__class_Oinf(T_c)),V_f_2)),V_B_2),V_A_2) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_zpower__number__of__even,axiom,
% 202.58/202.72 ! [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))) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_comp__surj,axiom,
% 202.58/202.72 ! [V_g_2,T_d,V_f_2,T_b,T_c] :
% 202.58/202.72 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 202.58/202.72 => ( hAPP(c_Set_Oimage(T_b,T_d,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))
% 202.58/202.72 => hAPP(c_Set_Oimage(T_c,T_d,hAPP(c_Fun_Ocomp(T_b,T_d,T_c,V_g_2),V_f_2)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_setsum__lessThan__Suc,axiom,
% 202.58/202.72 ! [V_n_2,V_f_2,T_b] :
% 202.58/202.72 ( class_Groups_Ocomm__monoid__add(T_b)
% 202.58/202.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))),hAPP(V_f_2,V_n_2)) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_UN__o,axiom,
% 202.58/202.72 ! [V_f_2,V_g_2,T_d,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Fun_Ocomp(T_d,tc_fun(T_b,tc_HOL_Obool),T_c,V_g_2),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)),V_g_2) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_inj__comp,axiom,
% 202.58/202.72 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 202.58/202.72 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 202.58/202.72 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)))
% 202.58/202.72 => c_Fun_Oinj__on(T_d,T_c,hAPP(c_Fun_Ocomp(T_b,T_c,T_d,V_f_2),V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_inj__on__imageI,axiom,
% 202.58/202.72 ! [V_A_2,V_f_2,V_g_2,T_d,T_c,T_b] :
% 202.58/202.72 ( c_Fun_Oinj__on(T_b,T_c,hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_g_2),V_f_2),V_A_2)
% 202.58/202.72 => c_Fun_Oinj__on(T_d,T_c,V_g_2,hAPP(c_Set_Oimage(T_b,T_d,V_f_2),V_A_2)) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_comp__inj__on,axiom,
% 202.58/202.72 ! [V_g_2,T_d,V_A_2,V_f_2,T_c,T_b] :
% 202.58/202.72 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 202.58/202.72 => ( c_Fun_Oinj__on(T_c,T_d,V_g_2,hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))
% 202.58/202.72 => c_Fun_Oinj__on(T_b,T_d,hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_g_2),V_f_2),V_A_2) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_comp__inj__on__iff,axiom,
% 202.58/202.72 ! [V_f_H_2,T_d,V_A_2,V_f_2,T_c,T_b] :
% 202.58/202.72 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 202.58/202.72 => ( c_Fun_Oinj__on(T_c,T_d,V_f_H_2,hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))
% 202.58/202.72 <=> c_Fun_Oinj__on(T_b,T_d,hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_f_H_2),V_f_2),V_A_2) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_setsum__atMost__Suc,axiom,
% 202.58/202.72 ! [V_n_2,V_f_2,T_b] :
% 202.58/202.72 ( class_Groups_Ocomm__monoid__add(T_b)
% 202.58/202.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_n_2))),hAPP(V_f_2,hAPP(c_Nat_OSuc,V_n_2))) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_transfer__nat__int__sum__prod_I1_J,axiom,
% 202.58/202.72 ! [V_A_2,V_f_2,T_b] :
% 202.58/202.72 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 202.58/202.72 & class_Groups_Ocomm__monoid__mult(T_b) )
% 202.58/202.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),V_f_2),c_Int_Onat)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_Un__Union__image,axiom,
% 202.58/202.72 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBS(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_A_2),V_C_2))),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_C_2))) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_image__add__int__atLeastLessThan,axiom,
% 202.58/202.72 ! [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) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_transfer__int__nat__sum__prod_I2_J,axiom,
% 202.58/202.72 ! [V_f_2,V_A_2,T_b] :
% 202.58/202.72 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 202.58/202.72 & class_Groups_Ocomm__monoid__mult(T_b) )
% 202.58/202.72 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 202.58/202.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_b,tc_Nat_Onat),V_f_2),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_Powp__Pow__eq,axiom,
% 202.58/202.72 ! [V_x_2,V_A_2,T_b] :
% 202.58/202.72 ( hBOOL(hAPP(c_Predicate_OPowp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)),V_x_2))
% 202.58/202.72 <=> hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_x_2),hAPP(c_Set_OPow(T_b),V_A_2))) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_setsum__restrict__set,axiom,
% 202.58/202.72 ! [V_B_2,V_f_2,V_A_2,T_b,T_c] :
% 202.58/202.72 ( class_Groups_Ocomm__monoid__add(T_c)
% 202.58/202.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))),V_f_2)),c_Groups_Ozero__class_Ozero(T_c))),V_A_2) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_image__eq__fold__image,axiom,
% 202.58/202.72 ! [V_f_2,T_c,V_A_2,T_b] :
% 202.58/202.72 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.72 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_fun(T_c,tc_HOL_Obool),T_b,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(T_c,tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Set_Oinsert(T_c)),V_f_2)),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))),V_A_2) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_power__number__of__even__number__of,axiom,
% 202.58/202.72 ! [V_w_2,V_v_2,T_b] :
% 202.58/202.72 ( class_Int_Onumber__ring(T_b)
% 202.58/202.72 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(V_w_2))) = hAPP(hAPP(c_HOL_OLet(T_b,T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),c_Groups_Otimes__class_Otimes(T_b)),c_COMBI(T_b))) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_SUPR__fold__sup,axiom,
% 202.58/202.72 ! [V_f_2,V_A_2,T_b,T_c] :
% 202.58/202.72 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 202.58/202.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.72 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_A_2),V_f_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Lattices_Osemilattice__sup__class_Osup(T_c)),V_f_2)),c_Orderings_Obot__class_Obot(T_c)),V_A_2) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_card_Oeq__fold__g,axiom,
% 202.58/202.72 ! [V_A_2,T_b] :
% 202.58/202.72 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.72 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat,T_b,c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),hAPP(c_COMBK(tc_Nat_Onat,T_b),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_card__def,axiom,
% 202.58/202.72 ! [V_A_2,T_b] :
% 202.58/202.72 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.72 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat,T_b,c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),hAPP(c_COMBK(tc_Nat_Onat,T_b),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2) )
% 202.58/202.72 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.72 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_fun__left__comm__idem__remove,axiom,
% 202.58/202.72 ! [T_b] : c_Finite__Set_Ofun__left__comm__idem(T_b,tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_INFI__fold__inf,axiom,
% 202.58/202.72 ! [V_f_2,V_A_2,T_b,T_c] :
% 202.58/202.72 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 202.58/202.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.72 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_A_2),V_f_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Lattices_Osemilattice__inf__class_Oinf(T_c)),V_f_2)),c_Orderings_Otop__class_Otop(T_c)),V_A_2) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_diff__nat__eq__if,axiom,
% 202.58/202.72 ! [V_z_2,V_z_H_2] :
% 202.58/202.72 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2))
% 202.58/202.72 => 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) )
% 202.58/202.72 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2))
% 202.58/202.72 => 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)) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_negDivAlg__div__mod,axiom,
% 202.58/202.72 ! [V_l,V_k] :
% 202.58/202.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 202.58/202.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 202.58/202.72 => 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)) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_negDivAlg__minus1,axiom,
% 202.58/202.72 ! [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))) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_UN__le__eq__Un0,axiom,
% 202.58/202.72 ! [V_M_2,V_n_2,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_n_2)),V_M_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),V_n_2)),V_M_2)),hAPP(V_M_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_transfer__int__nat__sum__prod_I1_J,axiom,
% 202.58/202.72 ! [V_f_2,V_A_2,T_b] :
% 202.58/202.72 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 202.58/202.72 & class_Groups_Ocomm__monoid__mult(T_b) )
% 202.58/202.72 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 202.58/202.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_b,tc_Nat_Onat),V_f_2),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_semiring__1__class_Oof__nat__code,axiom,
% 202.58/202.72 ! [V_n_2,T_b] :
% 202.58/202.72 ( class_Rings_Osemiring__1(T_b)
% 202.58/202.72 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2) = c_Nat_Osemiring__1__class_Oof__nat__aux(T_b,hAPP(hAPP(c_COMBC(T_b,T_b,T_b),c_Groups_Oplus__class_Oplus(T_b)),c_Groups_Oone__class_Oone(T_b)),V_n_2,c_Groups_Ozero__class_Ozero(T_b)) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_adjust__eq,axiom,
% 202.58/202.72 ! [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))) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_setsum__head,axiom,
% 202.58/202.72 ! [V_P_2,V_n_2,V_m_2,T_b] :
% 202.58/202.72 ( class_Groups_Ocomm__monoid__add(T_b)
% 202.58/202.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 202.58/202.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_P_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_P_2,V_m_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_P_2),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,V_m_2,V_n_2))) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_minus__fold__remove,axiom,
% 202.58/202.72 ! [V_B_2,V_A_2,T_b] :
% 202.58/202.72 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.72 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_B_2),V_A_2) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_setsum__reindex,axiom,
% 202.58/202.72 ! [V_h_2,V_B_2,V_f_2,T_c,T_b,T_d] :
% 202.58/202.72 ( class_Groups_Ocomm__monoid__add(T_d)
% 202.58/202.72 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 202.58/202.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_h_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2)),V_B_2) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_Suc__eq__number__of,axiom,
% 202.58/202.72 ! [V_v_2,V_n_2] :
% 202.58/202.72 ( hAPP(c_Nat_OSuc,V_n_2) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)
% 202.58/202.72 <=> 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))))) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_eq__number__of__Suc,axiom,
% 202.58/202.72 ! [V_n_2,V_v_2] :
% 202.58/202.72 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = hAPP(c_Nat_OSuc,V_n_2)
% 202.58/202.72 <=> 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))))) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_setprod__reindex,axiom,
% 202.58/202.72 ! [V_h_2,V_B_2,V_f_2,T_c,T_b,T_d] :
% 202.58/202.72 ( class_Groups_Ocomm__monoid__mult(T_d)
% 202.58/202.72 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 202.58/202.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_h_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_d),hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2)),V_B_2) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_setprod__reindex__cong,axiom,
% 202.58/202.72 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] :
% 202.58/202.72 ( class_Groups_Ocomm__monoid__mult(T_d)
% 202.58/202.72 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 202.58/202.72 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)
% 202.58/202.72 => ( V_g_2 = hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2)
% 202.58/202.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_h_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_d),V_g_2),V_A_2) ) ) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_nat__case__number__of,axiom,
% 202.58/202.72 ! [V_v_2,V_f_2,V_a_2,T_b] : c_Nat_Onat_Onat__case(T_b,V_a_2,V_f_2,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_b),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),tc_Int_Oint),c_If(T_b)),c_Nat__Numeral_Oneg)),V_a_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),V_f_2),c_Int_Onat))) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_nat__number__of__Bit1,axiom,
% 202.58/202.72 ! [V_w_2] :
% 202.58/202.72 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 202.58/202.72 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 202.58/202.72 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 202.58/202.72 => 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)))) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_geometric__sum,axiom,
% 202.58/202.72 ! [V_n_2,V_x_2,T_b] :
% 202.58/202.72 ( class_Fields_Ofield(T_b)
% 202.58/202.72 => ( V_x_2 != c_Groups_Oone__class_Oone(T_b)
% 202.58/202.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(c_Power_Opower__class_Opower(T_b),V_x_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_x_2),V_n_2)),c_Groups_Oone__class_Oone(T_b))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_x_2),c_Groups_Oone__class_Oone(T_b))) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_gauss__sum,axiom,
% 202.58/202.72 ! [V_n_2,T_b] :
% 202.58/202.72 ( class_Rings_Ocomm__semiring__1(T_b)
% 202.58/202.72 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),c_Groups_Oone__class_Oone(T_b)),c_Groups_Oone__class_Oone(T_b))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),c_Nat_Osemiring__1__class_Oof__nat(T_b)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),V_n_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)),c_Groups_Oone__class_Oone(T_b))) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_setsum__natinterval__difff,axiom,
% 202.58/202.72 ! [V_f_2,V_n_2,V_m_2,T_b] :
% 202.58/202.72 ( class_Groups_Oab__group__add(T_b)
% 202.58/202.72 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 202.58/202.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBS(tc_Nat_Onat,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),tc_Nat_Onat),c_Groups_Ominus__class_Ominus(T_b)),V_f_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(V_f_2,V_m_2)),hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )
% 202.58/202.72 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 202.58/202.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBS(tc_Nat_Onat,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),tc_Nat_Onat),c_Groups_Ominus__class_Ominus(T_b)),V_f_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_less__number__of__Suc,axiom,
% 202.58/202.72 ! [V_n_2,V_v_2] :
% 202.58/202.72 ( 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)))
% 202.58/202.72 <=> 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)))) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_less__Suc__number__of,axiom,
% 202.58/202.72 ! [V_v_2,V_n_2] :
% 202.58/202.72 ( 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)))
% 202.58/202.72 <=> 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))))) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_le__Suc__number__of,axiom,
% 202.58/202.72 ! [V_v_2,V_n_2] :
% 202.58/202.72 ( 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)))
% 202.58/202.72 <=> 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))))) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_le__number__of__Suc,axiom,
% 202.58/202.72 ! [V_n_2,V_v_2] :
% 202.58/202.72 ( 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)))
% 202.58/202.72 <=> 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)))) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_max__number__of__Suc,axiom,
% 202.58/202.72 ! [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)))) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_max__Suc__number__of,axiom,
% 202.58/202.72 ! [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)))) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_nat__case__add__eq__if,axiom,
% 202.58/202.72 ! [V_n_2,V_v_2,V_f_2,V_a_2,T_b] : c_Nat_Onat_Onat__case(T_b,V_a_2,V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),V_n_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_b),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),tc_Int_Oint),c_If(T_b)),c_Nat__Numeral_Oneg)),c_Nat_Onat_Onat__case(T_b,V_a_2,V_f_2,V_n_2))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),V_f_2),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Int_Onat)),V_n_2)))) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_power__number__of__odd,axiom,
% 202.58/202.72 ! [V_z_2,V_w_2,T_b] :
% 202.58/202.72 ( class_Int_Onumber__ring(T_b)
% 202.58/202.72 => ( ( 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)))
% 202.58/202.72 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = hAPP(hAPP(c_HOL_OLet(T_b,T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_b),c_Groups_Otimes__class_Otimes(T_b)),hAPP(c_Groups_Otimes__class_Otimes(T_b),V_z_2))),c_COMBI(T_b))) )
% 202.58/202.72 & ( ~ 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)))
% 202.58/202.72 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = c_Groups_Oone__class_Oone(T_b) ) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_setprod__gen__delta,axiom,
% 202.58/202.72 ! [V_c_2,V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 202.58/202.72 ( class_Groups_Ocomm__monoid__mult(T_c)
% 202.58/202.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 202.58/202.72 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 202.58/202.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),V_c_2)),V_S_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_b_2,V_a_2)),hAPP(hAPP(c_Power_Opower__class_Opower(T_c),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_S_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )
% 202.58/202.72 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 202.58/202.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),V_c_2)),V_S_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_c),V_c_2),hAPP(c_Finite__Set_Ocard(T_b),V_S_2)) ) ) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_image__minus__const__atLeastLessThan__nat,axiom,
% 202.58/202.72 ! [V_x_2,V_y_2,V_c_2] :
% 202.58/202.72 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_c_2),V_y_2))
% 202.58/202.72 => hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_c_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_x_2),V_y_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_x_2),V_c_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_y_2),V_c_2)) )
% 202.58/202.72 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_c_2),V_y_2))
% 202.58/202.72 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 202.58/202.72 => hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_c_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_x_2),V_y_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) )
% 202.58/202.72 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 202.58/202.72 => hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_c_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_x_2),V_y_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_setsum_Oreindex,axiom,
% 202.58/202.72 ! [V_g_2,V_h_2,V_A_2,T_b,T_c] :
% 202.58/202.72 ( class_Groups_Ocomm__monoid__add(T_c)
% 202.58/202.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.72 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2)
% 202.58/202.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(c_Fun_Ocomp(T_b,T_c,T_b,V_g_2),V_h_2)),V_A_2) ) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_zpower__number__of__odd,axiom,
% 202.58/202.72 ! [V_z_2,V_w_2] :
% 202.58/202.72 ( ( 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)))
% 202.58/202.72 => 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))) )
% 202.58/202.72 & ( ~ 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)))
% 202.58/202.72 => 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) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_setprod_Oreindex,axiom,
% 202.58/202.72 ! [V_g_2,V_h_2,V_A_2,T_b,T_c] :
% 202.58/202.72 ( class_Groups_Ocomm__monoid__mult(T_c)
% 202.58/202.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.58/202.72 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2)
% 202.58/202.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(c_Fun_Ocomp(T_b,T_c,T_b,V_g_2),V_h_2)),V_A_2) ) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_arith__series__general,axiom,
% 202.58/202.72 ! [V_n_2,V_d_2,V_a_2,T_b] :
% 202.58/202.72 ( class_Rings_Ocomm__semiring__1(T_b)
% 202.58/202.72 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),c_Groups_Oone__class_Oone(T_b)),c_Groups_Oone__class_Oone(T_b))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),tc_Nat_Onat),c_Groups_Otimes__class_Otimes(T_b)),c_Nat_Osemiring__1__class_Oof__nat(T_b))),V_d_2))),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),V_d_2)))) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_negDivAlg_Osimps,axiom,
% 202.58/202.72 ! [V_b,V_a] :
% 202.58/202.72 ( ( ( 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)))
% 202.58/202.72 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 202.58/202.72 => 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)) )
% 202.58/202.72 & ( ~ ( 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)))
% 202.58/202.72 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 202.58/202.72 => 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))) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_min__Suc__number__of,axiom,
% 202.58/202.72 ! [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)))) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_min__number__of__Suc,axiom,
% 202.58/202.72 ! [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)))) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_arith__series__nat,axiom,
% 202.58/202.72 ! [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)))) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_the__inv__into__comp,axiom,
% 202.58/202.72 ! [V_x_2,V_A_2,V_g_2,T_d,V_f_2,T_c,T_b] :
% 202.58/202.72 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(c_Set_Oimage(T_d,T_b,V_g_2),V_A_2))
% 202.58/202.72 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,V_A_2)
% 202.58/202.72 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(c_Set_Oimage(T_d,T_b,V_g_2),V_A_2))))
% 202.58/202.72 => hAPP(c_Fun_Othe__inv__into(T_d,T_c,V_A_2,hAPP(c_Fun_Ocomp(T_b,T_c,T_d,V_f_2),V_g_2)),V_x_2) = hAPP(hAPP(c_Fun_Ocomp(T_b,T_d,T_c,c_Fun_Othe__inv__into(T_d,T_b,V_A_2,V_g_2)),c_Fun_Othe__inv__into(T_b,T_c,hAPP(c_Set_Oimage(T_d,T_b,V_g_2),V_A_2),V_f_2)),V_x_2) ) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_power__number__of__odd__number__of,axiom,
% 202.58/202.72 ! [V_v_2,V_w_2,T_b] :
% 202.58/202.72 ( class_Int_Onumber__ring(T_b)
% 202.58/202.72 => ( ( 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)))
% 202.58/202.72 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = hAPP(hAPP(c_HOL_OLet(T_b,T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_b),c_Groups_Otimes__class_Otimes(T_b)),hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)))),c_COMBI(T_b))) )
% 202.58/202.72 & ( ~ 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)))
% 202.58/202.72 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = c_Groups_Oone__class_Oone(T_b) ) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_negDivAlg__eqn__number__of,axiom,
% 202.58/202.72 ! [V_w,V_v] :
% 202.58/202.72 ( 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)))
% 202.58/202.72 => ( ( 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))))
% 202.58/202.72 => 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))) )
% 202.58/202.72 & ( ~ 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))))
% 202.58/202.72 => 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)))) ) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_negDivAlg__eqn,axiom,
% 202.58/202.72 ! [V_a,V_b] :
% 202.58/202.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 202.58/202.72 => ( ( 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)))
% 202.58/202.72 => 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)) )
% 202.58/202.72 & ( ~ 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)))
% 202.58/202.72 => 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))) ) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_diff__nat__number__of,axiom,
% 202.58/202.72 ! [V_v_2,V_v_H_2] :
% 202.58/202.72 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls))
% 202.58/202.72 => 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) )
% 202.58/202.72 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls))
% 202.58/202.72 => 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)) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_norm__frac_Osimps,axiom,
% 202.58/202.72 ! [V_a_2,V_b_2] :
% 202.58/202.72 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 202.58/202.72 => 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)) )
% 202.58/202.72 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 202.58/202.72 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 202.58/202.72 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 202.58/202.72 => 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)) )
% 202.58/202.72 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 202.58/202.72 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 202.58/202.72 => 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))) ) ) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_posDivAlg__eqn__1__number__of,axiom,
% 202.58/202.72 ! [V_w] :
% 202.58/202.72 ( 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)))
% 202.58/202.72 => ( ( 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)))
% 202.58/202.72 => 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)) )
% 202.58/202.72 & ( ~ 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)))
% 202.58/202.72 => 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)))) ) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_posDivAlg_Osimps,axiom,
% 202.58/202.72 ! [V_b,V_a] :
% 202.58/202.72 ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 202.58/202.72 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 202.58/202.72 => 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) )
% 202.58/202.72 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 202.58/202.72 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 202.58/202.72 => 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))) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_adjust__def,axiom,
% 202.58/202.72 ! [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))))))) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_sup2CI,axiom,
% 202.58/202.72 ! [T_c,T_b,V_A_2,V_y_2,V_x_2,V_B_2] :
% 202.58/202.72 ( ( ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 202.58/202.72 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) )
% 202.58/202.72 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_sup2E,axiom,
% 202.58/202.72 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 202.58/202.72 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2))
% 202.58/202.72 => ( ~ hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 202.58/202.72 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_inf2I,axiom,
% 202.58/202.72 ! [T_c,T_b,V_B_2,V_y_2,V_x_2,V_A_2] :
% 202.58/202.72 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 202.58/202.72 => ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 202.58/202.72 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_inf2E,axiom,
% 202.58/202.72 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 202.58/202.72 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2))
% 202.58/202.72 => ~ ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 202.58/202.72 => ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_bot2E,axiom,
% 202.58/202.72 ! [V_y_2,V_x_2,T_c,T_b] : ~ hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_x_2),V_y_2)) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_INF1__iff,axiom,
% 202.58/202.72 ! [V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 202.58/202.72 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2))
% 202.58/202.72 <=> ! [B_x] :
% 202.58/202.72 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 202.58/202.72 => hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_INF2__iff,axiom,
% 202.58/202.72 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 202.58/202.72 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2))
% 202.58/202.72 <=> ! [B_x] :
% 202.58/202.72 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 202.58/202.72 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_SUP2__iff,axiom,
% 202.58/202.72 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 202.58/202.72 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2))
% 202.58/202.72 <=> ? [B_x] :
% 202.58/202.72 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 202.58/202.72 & hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_predicate2D,axiom,
% 202.58/202.72 ! [V_y_2,V_x_2,V_Q_2,V_P_2,T_c,T_b] :
% 202.58/202.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_P_2),V_Q_2))
% 202.58/202.72 => ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2))
% 202.58/202.72 => hBOOL(hAPP(hAPP(V_Q_2,V_x_2),V_y_2)) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_rev__predicate2D,axiom,
% 202.58/202.72 ! [V_Q_2,T_c,T_b,V_y_2,V_x_2,V_P_2] :
% 202.58/202.72 ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2))
% 202.58/202.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_P_2),V_Q_2))
% 202.58/202.72 => hBOOL(hAPP(hAPP(V_Q_2,V_x_2),V_y_2)) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_less__by__empty,axiom,
% 202.58/202.72 ! [V_B_2,T_b,V_A_2] :
% 202.58/202.72 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))
% 202.58/202.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_inf2D1,axiom,
% 202.58/202.72 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 202.58/202.72 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2))
% 202.58/202.72 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_inf2D2,axiom,
% 202.58/202.72 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 202.58/202.72 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2))
% 202.58/202.72 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_sup2I2,axiom,
% 202.58/202.72 ! [V_A_2,T_c,T_b,V_y_2,V_x_2,V_B_2] :
% 202.58/202.72 ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 202.58/202.72 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_sup2I1,axiom,
% 202.58/202.72 ! [V_B_2,T_c,T_b,V_y_2,V_x_2,V_A_2] :
% 202.58/202.72 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 202.58/202.72 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_posDivAlg__0,axiom,
% 202.58/202.72 ! [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)) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_posDivAlg__div__mod,axiom,
% 202.58/202.72 ! [V_l,V_k] :
% 202.58/202.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 202.58/202.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 202.58/202.72 => 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)) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_posDivAlg__eqn__number__of,axiom,
% 202.58/202.72 ! [V_w,V_v] :
% 202.58/202.72 ( 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)))
% 202.58/202.72 => ( ( 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)))
% 202.58/202.72 => 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)) )
% 202.58/202.72 & ( ~ 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)))
% 202.58/202.72 => 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)))) ) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_posDivAlg__eqn,axiom,
% 202.58/202.72 ! [V_a,V_b] :
% 202.58/202.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 202.58/202.72 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 202.58/202.72 => 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) )
% 202.58/202.72 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 202.58/202.72 => 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))) ) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_pair__imageI,axiom,
% 202.58/202.72 ! [V_f_2,T_d,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 202.58/202.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_A_2))
% 202.58/202.72 => hBOOL(hAPP(hAPP(c_member(T_d),hAPP(hAPP(V_f_2,V_a_2),V_b_2)),hAPP(c_Set_Oimage(tc_prod(T_b,T_c),T_d,hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_f_2)),V_A_2))) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_of__int__num,axiom,
% 202.58/202.72 ! [V_k_2,T_b] :
% 202.58/202.72 ( class_Rings_Oring__1(T_b)
% 202.58/202.72 => ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 202.58/202.72 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_k_2) = c_Groups_Ozero__class_Ozero(T_b) )
% 202.58/202.72 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 202.58/202.72 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 202.58/202.72 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_k_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_k_2))) )
% 202.58/202.72 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 202.58/202.72 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_k_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,T_b),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_fun(T_b,T_b)),tc_fun(tc_Int_Oint,T_b)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_b),T_b),tc_fun(tc_fun(tc_Int_Oint,tc_fun(T_b,T_b)),tc_fun(tc_Int_Oint,T_b)),tc_Int_Oint),c_COMBB(tc_fun(T_b,T_b),T_b,tc_Int_Oint)),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_fun(T_b,T_b),T_b),tc_Int_Oint),c_HOL_OLet(T_b,T_b)),c_Int_Oring__1__class_Oof__int(T_b)))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(T_b,T_b),tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,T_b)),tc_Int_Oint),c_COMBS(T_b,T_b,T_b)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(T_b,T_b),tc_fun(T_b,tc_fun(T_b,T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_fun(T_b,T_b))),tc_Int_Oint),c_COMBB(T_b,tc_fun(T_b,T_b),T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),tc_Int_Oint),c_If(T_b)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),c_fequal),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),c_Groups_Oplus__class_Oplus(T_b)),c_COMBI(T_b))))),hAPP(hAPP(c_COMBC(T_b,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_b),c_Groups_Oplus__class_Oplus(T_b)),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),c_Groups_Oplus__class_Oplus(T_b)),c_COMBI(T_b)))),c_Groups_Oone__class_Oone(T_b))))),c_Divides_Odivmod__int(V_k_2,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ) ) ) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_in__rel__def,axiom,
% 202.58/202.72 ! [V_y_2,V_x_2,V_R_2,T_c,T_b] :
% 202.58/202.72 ( hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(T_b,T_c,V_R_2),V_x_2),V_y_2))
% 202.58/202.72 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),V_R_2)) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_prod__caseI,axiom,
% 202.58/202.72 ! [T_c,T_b,V_b_2,V_a_2,V_f1_2] :
% 202.58/202.72 ( hBOOL(hAPP(hAPP(V_f1_2,V_a_2),V_b_2))
% 202.58/202.72 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_f1_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_splitI,axiom,
% 202.58/202.72 ! [T_c,T_b,V_b_2,V_a_2,V_f_2] :
% 202.58/202.72 ( hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2))
% 202.58/202.72 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_mem__splitI,axiom,
% 202.58/202.72 ! [T_d,T_c,V_b_2,V_a_2,V_c_2,V_z_2,T_b] :
% 202.58/202.72 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(V_c_2,V_a_2),V_b_2)))
% 202.58/202.72 => hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,tc_fun(T_b,tc_HOL_Obool)),V_c_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)))) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_splitD_H,axiom,
% 202.58/202.72 ! [V_c_2,V_b_2,V_a_2,V_R_2,T_d,T_c,T_b] :
% 202.58/202.72 ( hBOOL(hAPP(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_fun(T_d,tc_HOL_Obool)),V_R_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_c_2))
% 202.58/202.72 => hBOOL(hAPP(hAPP(hAPP(V_R_2,V_a_2),V_b_2),V_c_2)) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_splitD,axiom,
% 202.58/202.72 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] :
% 202.58/202.72 ( hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)))
% 202.58/202.72 => hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2)) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_Pair__inject,axiom,
% 202.58/202.72 ! [V_b_H,V_a_H,V_b,V_a,T_b,T_a] :
% 202.58/202.72 ( 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)
% 202.58/202.72 => ~ ( V_a = V_a_H
% 202.58/202.72 => V_b != V_b_H ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_Pair__eq,axiom,
% 202.58/202.72 ! [V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] :
% 202.58/202.72 ( hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_H_2),V_b_H_2)
% 202.58/202.72 <=> ( V_a_2 = V_a_H_2
% 202.58/202.72 & V_b_2 = V_b_H_2 ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_split__paired__All,axiom,
% 202.58/202.72 ! [T_c,T_b,V_P_2] :
% 202.58/202.72 ( ! [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 202.58/202.72 <=> ! [B_a,B_b] : hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b))) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_split__weak__cong,axiom,
% 202.58/202.72 ! [V_c_2,T_d,T_c,T_b,V_q_2,V_p_2] :
% 202.58/202.72 ( V_p_2 = V_q_2
% 202.58/202.72 => hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_c_2),V_p_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_c_2),V_q_2) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_divmod__int__mod__div,axiom,
% 202.58/202.72 ! [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)) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_split__conv,axiom,
% 202.58/202.72 ! [V_b_2,V_a_2,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)) = hAPP(hAPP(V_f_2,V_a_2),V_b_2) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_prod_Osimps_I2_J,axiom,
% 202.58/202.72 ! [V_b_2,V_a_2,V_f1_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f1_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_b_2) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_split__eta,axiom,
% 202.58/202.72 ! [V_f_2,T_d,T_c,T_b] : hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,T_d),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),T_d,T_c),V_f_2)),c_Product__Type_OPair(T_b,T_c))) = V_f_2 ).
% 202.58/202.72
% 202.58/202.72 fof(fact_swap__inj__on,axiom,
% 202.58/202.72 ! [V_A_2,T_c,T_b] : c_Fun_Oinj__on(tc_prod(T_b,T_c),tc_prod(T_c,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_prod(T_c,T_b)),hAPP(c_COMBC(T_c,T_b,tc_prod(T_c,T_b)),c_Product__Type_OPair(T_c,T_b))),V_A_2) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_split__twice,axiom,
% 202.58/202.72 ! [V_p_2,V_g_2,T_f,T_e,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_e,T_f,tc_prod(T_c,T_d)),V_g_2),V_p_2)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_e,T_f,T_b),hAPP(hAPP(c_COMBB(tc_fun(T_f,tc_prod(T_c,T_d)),tc_fun(T_f,T_b),T_e),hAPP(c_COMBB(tc_prod(T_c,T_d),T_b,T_f),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2))),V_g_2)),V_p_2) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_Nitpick_OFrac__def,axiom,
% 202.58/202.72 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)))) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_div__mod__code__numeral__def,axiom,
% 202.58/202.72 ! [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)) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_divmod__int__def,axiom,
% 202.58/202.72 ! [V_b,V_a] :
% 202.58/202.72 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 202.58/202.72 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 202.58/202.72 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OposDivAlg(V_a,V_b) )
% 202.58/202.72 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 202.58/202.72 => ( ( V_a = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 202.58/202.72 => 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)) )
% 202.58/202.72 & ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 202.58/202.72 => 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))) ) ) ) ) )
% 202.58/202.72 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 202.58/202.72 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 202.58/202.72 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OnegDivAlg(V_a,V_b) )
% 202.58/202.72 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 202.58/202.72 => 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))) ) ) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_negateSnd__eq,axiom,
% 202.58/202.72 ! [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)) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_Nitpick_Orefl_H__def,axiom,
% 202.58/202.72 ! [V_r_2,T_b] :
% 202.58/202.72 ( c_Nitpick_Orefl_H(T_b,V_r_2)
% 202.58/202.72 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_divmod__nat__step,axiom,
% 202.58/202.72 ! [V_m,V_n] :
% 202.58/202.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 202.58/202.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 202.58/202.72 => 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)) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_divmod__int__pdivmod,axiom,
% 202.58/202.72 ! [V_l_2,V_k_2] :
% 202.58/202.72 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 202.58/202.72 => 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)) )
% 202.58/202.72 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 202.58/202.72 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 202.58/202.72 => 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) )
% 202.58/202.72 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 202.58/202.72 => 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)))) ) ) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_apsnd__conv,axiom,
% 202.58/202.72 ! [V_y_2,V_x_2,V_f_2,T_b,T_c,T_d] : hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_d),V_x_2),V_y_2)) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),hAPP(V_f_2,V_y_2)) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_apsnd__compose,axiom,
% 202.58/202.72 ! [V_x_2,V_g_2,T_e,V_f_2,T_b,T_c,T_d] : hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),hAPP(c_Product__Type_Oapsnd(T_e,T_d,T_b,V_g_2),V_x_2)) = hAPP(c_Product__Type_Oapsnd(T_e,T_c,T_b,hAPP(c_Fun_Ocomp(T_d,T_c,T_e,V_f_2),V_g_2)),V_x_2) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_divmod__nat__zero,axiom,
% 202.58/202.72 ! [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) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_negateSnd__def,axiom,
% 202.58/202.72 c_Divides_OnegateSnd = c_Product__Type_Oapsnd(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_divmod__nat__base,axiom,
% 202.58/202.72 ! [V_n,V_m] :
% 202.58/202.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 202.58/202.72 => 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) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_divmod__nat__div__mod,axiom,
% 202.58/202.72 ! [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)) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_divmod__nat__if,axiom,
% 202.58/202.72 ! [V_m_2,V_n_2] :
% 202.58/202.72 ( ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.58/202.72 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) )
% 202.58/202.72 => 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) )
% 202.58/202.72 & ( ~ ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.58/202.72 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) )
% 202.58/202.72 => 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)) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_pdivmod__def,axiom,
% 202.58/202.72 ! [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))) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_pdivmod__posDivAlg,axiom,
% 202.58/202.72 ! [V_k,V_l] :
% 202.58/202.72 ( ( V_l = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 202.58/202.72 => 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)) )
% 202.58/202.72 & ( V_l != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 202.58/202.72 => 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)) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_divmod__int__code,axiom,
% 202.58/202.72 ! [V_l_2,V_k_2] :
% 202.58/202.72 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 202.58/202.72 => 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)) )
% 202.58/202.72 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 202.58/202.72 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 202.58/202.72 => 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) )
% 202.58/202.72 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 202.58/202.72 => 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)))) ) ) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_nat__rec__add__eq__if,axiom,
% 202.58/202.72 ! [V_n_2,V_v_2,V_f_2,V_a_2,T_b] : hAPP(c_Nat_Onat_Onat__rec(T_b,V_a_2,V_f_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),V_n_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_b),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),tc_Int_Oint),c_If(T_b)),c_Nat__Numeral_Oneg)),hAPP(c_Nat_Onat_Onat__rec(T_b,V_a_2,V_f_2),V_n_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_b,T_b),tc_Int_Oint),V_f_2),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Int_Onat)),V_n_2))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),c_Nat_Onat_Onat__rec(T_b,V_a_2,V_f_2)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Int_Onat)),V_n_2))))) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_divmod__nat__rel__mult2__eq,axiom,
% 202.58/202.72 ! [V_c,V_r,V_q,V_b,V_a] :
% 202.58/202.72 ( 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)))
% 202.58/202.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_b))
% 202.58/202.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 202.58/202.72 => 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)))) ) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_divmod__nat__rel__mult1__eq,axiom,
% 202.58/202.72 ! [V_a,V_r,V_q,V_c,V_b] :
% 202.58/202.72 ( 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)))
% 202.58/202.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 202.58/202.72 => 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)))) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_divmod__nat__rel__unique,axiom,
% 202.58/202.72 ! [V_qr_H,V_qr,V_n,V_m] :
% 202.58/202.72 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr))
% 202.58/202.72 => ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr_H))
% 202.58/202.72 => V_qr = V_qr_H ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_nat__rec__0,axiom,
% 202.58/202.72 ! [V_f2_2,V_f1_2,T_b] : hAPP(c_Nat_Onat_Onat__rec(T_b,V_f1_2,V_f2_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_f1_2 ).
% 202.58/202.72
% 202.58/202.72 fof(fact_nat__rec__Suc,axiom,
% 202.58/202.72 ! [V_nat_2,V_f2_2,V_f1_2,T_b] : hAPP(c_Nat_Onat_Onat__rec(T_b,V_f1_2,V_f2_2),hAPP(c_Nat_OSuc,V_nat_2)) = hAPP(hAPP(V_f2_2,V_nat_2),hAPP(c_Nat_Onat_Onat__rec(T_b,V_f1_2,V_f2_2),V_nat_2)) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_divmod__nat__eq,axiom,
% 202.58/202.72 ! [V_qr,V_n,V_m] :
% 202.58/202.72 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr))
% 202.58/202.72 => c_Divides_Odivmod__nat(V_m,V_n) = V_qr ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_divmod__nat__rel__divmod__nat,axiom,
% 202.58/202.72 ! [V_n,V_m] : hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),c_Divides_Odivmod__nat(V_m,V_n))) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_mod__eq,axiom,
% 202.58/202.72 ! [V_r,V_q,V_n,V_m] :
% 202.58/202.72 ( 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)))
% 202.58/202.72 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_r ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_div__eq,axiom,
% 202.58/202.72 ! [V_r,V_q,V_n,V_m] :
% 202.58/202.72 ( 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)))
% 202.58/202.72 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = V_q ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_divmod__nat__rel,axiom,
% 202.58/202.72 ! [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)))) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_divmod__nat__rel__add1__eq,axiom,
% 202.58/202.72 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] :
% 202.58/202.72 ( 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)))
% 202.58/202.72 => ( 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)))
% 202.58/202.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 202.58/202.72 => 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)))) ) ) ) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_nat__rec__number__of,axiom,
% 202.58/202.72 ! [V_v_2,V_f_2,V_a_2,T_b] : hAPP(c_Nat_Onat_Onat__rec(T_b,V_a_2,V_f_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_b),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),tc_Int_Oint),c_If(T_b)),c_Nat__Numeral_Oneg)),V_a_2)),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_b,T_b),tc_Int_Oint),V_f_2),c_Int_Onat)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),c_Nat_Onat_Onat__rec(T_b,V_a_2,V_f_2)),c_Int_Onat)))) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_pair__box_Osize_I2_J,axiom,
% 202.58/202.72 ! [V_b,V_a,T_b,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_Nitpick_Opair__box(T_a,T_b)),c_Nitpick_Opair__box_OPairBox(T_a,T_b,V_a,V_b)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_pair__box_Osimps_I2_J,axiom,
% 202.58/202.72 ! [V_b_2,V_a_2,V_f1_2,T_b,T_d,T_c] : c_Nitpick_Opair__box_Opair__box__case(T_c,T_d,T_b,V_f1_2,c_Nitpick_Opair__box_OPairBox(T_c,T_d,V_a_2,V_b_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_b_2) ).
% 202.58/202.72
% 202.58/202.72 fof(fact_pair__box_Orecs,axiom,
% 202.58/202.72 ! [V_b_2,V_a_2,V_f1_2,T_b,T_d,T_c] : c_Nitpick_Opair__box_Opair__box__rec(T_c,T_d,T_b,V_f1_2,c_Nitpick_Opair__box_OPairBox(T_c,T_d,V_a_2,V_b_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_b_2) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_negDivAlg_Opsimps,axiom,
% 202.84/202.72 ! [V_b_2,V_a_2] :
% 202.84/202.72 ( 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)))
% 202.84/202.72 => ( ( ( 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)))
% 202.84/202.72 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 202.84/202.72 => 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)) )
% 202.84/202.72 & ( ~ ( 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)))
% 202.84/202.72 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 202.84/202.72 => 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))) ) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_zmult2__lemma,axiom,
% 202.84/202.72 ! [V_c,V_r,V_q,V_b,V_a] :
% 202.84/202.72 ( 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)))
% 202.84/202.72 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 202.84/202.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 202.84/202.72 => 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)))) ) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_coinduct3__mono__lemma,axiom,
% 202.84/202.72 ! [V_B_2,V_X_2,V_f_2,T_c,T_b] :
% 202.84/202.72 ( class_Orderings_Oorder(T_b)
% 202.84/202.72 => ( c_Orderings_Oorder__class_Omono(T_b,tc_fun(T_c,tc_HOL_Obool),V_f_2)
% 202.84/202.72 => c_Orderings_Oorder__class_Omono(T_b,tc_fun(T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),V_f_2)),V_X_2))),V_B_2)) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_unique__remainder,axiom,
% 202.84/202.72 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] :
% 202.84/202.72 ( 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)))
% 202.84/202.72 => ( 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)))
% 202.84/202.72 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 202.84/202.72 => V_r = V_r_H ) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_unique__quotient,axiom,
% 202.84/202.72 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] :
% 202.84/202.72 ( 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)))
% 202.84/202.72 => ( 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)))
% 202.84/202.72 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 202.84/202.72 => V_q = V_q_H ) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_self__remainder,axiom,
% 202.84/202.72 ! [V_r,V_q,V_a] :
% 202.84/202.72 ( 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)))
% 202.84/202.72 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 202.84/202.72 => V_r = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_divmod__int__rel__0,axiom,
% 202.84/202.72 ! [V_b] :
% 202.84/202.72 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 202.84/202.72 => 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)))) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_divmod__int__rel__neg,axiom,
% 202.84/202.72 ! [V_qr,V_b,V_a] :
% 202.84/202.72 ( 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))
% 202.84/202.72 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(c_Divides_OnegateSnd,V_qr))) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_divmod__int__correct,axiom,
% 202.84/202.72 ! [V_a,V_b] :
% 202.84/202.72 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 202.84/202.72 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_Odivmod__int(V_a,V_b))) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_self__quotient,axiom,
% 202.84/202.72 ! [V_r,V_q,V_a] :
% 202.84/202.72 ( 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)))
% 202.84/202.72 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 202.84/202.72 => V_q = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_divmod__int__rel__mod,axiom,
% 202.84/202.72 ! [V_r,V_q,V_b,V_a] :
% 202.84/202.72 ( 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)))
% 202.84/202.72 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 202.84/202.72 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_r ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_divmod__int__rel__div,axiom,
% 202.84/202.72 ! [V_r,V_q,V_b,V_a] :
% 202.84/202.72 ( 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)))
% 202.84/202.72 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 202.84/202.72 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = V_q ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_negDivAlg__correct,axiom,
% 202.84/202.72 ! [V_b,V_a] :
% 202.84/202.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 202.84/202.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 202.84/202.72 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OnegDivAlg(V_a,V_b))) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_divmod__int__rel__div__mod,axiom,
% 202.84/202.72 ! [V_a,V_b] :
% 202.84/202.72 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 202.84/202.72 => 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)))) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_posDivAlg__correct,axiom,
% 202.84/202.72 ! [V_b,V_a] :
% 202.84/202.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 202.84/202.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 202.84/202.72 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OposDivAlg(V_a,V_b))) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_zadd1__lemma,axiom,
% 202.84/202.72 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] :
% 202.84/202.72 ( 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)))
% 202.84/202.72 => ( 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)))
% 202.84/202.72 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 202.84/202.72 => 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)))) ) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_zminus1__lemma,axiom,
% 202.84/202.72 ! [V_r_2,V_q_2,V_b_2,V_a_2] :
% 202.84/202.72 ( 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)))
% 202.84/202.72 => 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))))) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_divmod__int__relI,axiom,
% 202.84/202.72 ! [V_r,V_q,V_b,V_a] :
% 202.84/202.72 ( 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)
% 202.84/202.72 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 202.84/202.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 202.84/202.72 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) ) )
% 202.84/202.72 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 202.84/202.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 202.84/202.72 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 202.84/202.72 => 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))) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_zmult1__lemma,axiom,
% 202.84/202.72 ! [V_a,V_r,V_q,V_c,V_b] :
% 202.84/202.72 ( 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)))
% 202.84/202.72 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 202.84/202.72 => 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)))) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_divmod__int__rel__def,axiom,
% 202.84/202.72 ! [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))))))) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_posDivAlg_Opsimps,axiom,
% 202.84/202.72 ! [V_b_2,V_a_2] :
% 202.84/202.72 ( 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)))
% 202.84/202.72 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2))
% 202.84/202.72 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 202.84/202.72 => 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) )
% 202.84/202.72 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2))
% 202.84/202.72 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 202.84/202.72 => 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))) ) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_norm__frac_Opsimps,axiom,
% 202.84/202.72 ! [V_b_2,V_a_2] :
% 202.84/202.72 ( 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)))
% 202.84/202.72 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 202.84/202.72 => 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)) )
% 202.84/202.72 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 202.84/202.72 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 202.84/202.72 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 202.84/202.72 => 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)) )
% 202.84/202.72 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 202.84/202.72 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 202.84/202.72 => 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))) ) ) ) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_negDivAlg_Opinduct,axiom,
% 202.84/202.72 ! [V_P_2,V_a1_2,V_a0_2] :
% 202.84/202.72 ( 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)))
% 202.84/202.72 => ( ! [B_a,B_b] :
% 202.84/202.72 ( 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)))
% 202.84/202.72 => ( ( ~ ( 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)))
% 202.84/202.72 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 202.84/202.72 => 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))) )
% 202.84/202.72 => hBOOL(hAPP(hAPP(V_P_2,B_a),B_b)) ) )
% 202.84/202.72 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_posDivAlg_Opinduct,axiom,
% 202.84/202.72 ! [V_P_2,V_a1_2,V_a0_2] :
% 202.84/202.72 ( 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)))
% 202.84/202.72 => ( ! [B_a,B_b] :
% 202.84/202.72 ( 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)))
% 202.84/202.72 => ( ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_a),B_b))
% 202.84/202.72 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 202.84/202.72 => 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))) )
% 202.84/202.72 => hBOOL(hAPP(hAPP(V_P_2,B_a),B_b)) ) )
% 202.84/202.72 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_accp__subset,axiom,
% 202.84/202.72 ! [V_R2_2,V_R1_2,T_b] :
% 202.84/202.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),V_R1_2),V_R2_2))
% 202.84/202.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Wellfounded_Oaccp(T_b,V_R2_2)),c_Wellfounded_Oaccp(T_b,V_R1_2))) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_transfer__int__nat__sum__prod2_I2_J,axiom,
% 202.84/202.72 ! [V_f_2,V_A_2,T_b] :
% 202.84/202.72 ( ! [B_x] :
% 202.84/202.72 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 202.84/202.72 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) )
% 202.84/202.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Int_Oint),V_f_2),V_A_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Nat_Onat,T_b),c_Int_Onat),V_f_2)),V_A_2)) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_accp_Osimps,axiom,
% 202.84/202.72 ! [V_a_2,V_r_2,T_b] :
% 202.84/202.72 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2))
% 202.84/202.72 <=> ! [B_x] :
% 202.84/202.72 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2))
% 202.84/202.72 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x)) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_accp_Oequations,axiom,
% 202.84/202.72 ! [V_a_2,V_r_2,T_b] :
% 202.84/202.72 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2))
% 202.84/202.72 <=> ! [B_x] :
% 202.84/202.72 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2))
% 202.84/202.72 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x)) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_accp__downward,axiom,
% 202.84/202.72 ! [V_a_2,V_b_2,V_r_2,T_b] :
% 202.84/202.72 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_b_2))
% 202.84/202.72 => ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 202.84/202.72 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2)) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_nat__gcd_Opsimps,axiom,
% 202.84/202.72 ! [V_y_2,V_x_2] :
% 202.84/202.72 ( 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)))
% 202.84/202.72 => ( ( V_y_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.84/202.72 => c_Nitpick_Onat__gcd(V_x_2,V_y_2) = V_x_2 )
% 202.84/202.72 & ( V_y_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.84/202.72 => 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)) ) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_nat_Osize_I2_J,axiom,
% 202.84/202.72 ! [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))) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_mod__pos__neg__1__number__of,axiom,
% 202.84/202.72 ! [V_w] :
% 202.84/202.72 ( 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)))
% 202.84/202.72 => 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))))) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_snd__apsnd,axiom,
% 202.84/202.72 ! [V_x_2,V_f_2,T_d,T_b,T_c] : hAPP(c_Product__Type_Osnd(T_c,T_b),hAPP(c_Product__Type_Oapsnd(T_d,T_b,T_c,V_f_2),V_x_2)) = hAPP(V_f_2,hAPP(c_Product__Type_Osnd(T_c,T_d),V_x_2)) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_apsnd__eq__conv,axiom,
% 202.84/202.72 ! [V_g_2,V_x_2,V_f_2,T_b,T_c,T_d] :
% 202.84/202.72 ( hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),V_x_2) = hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_g_2),V_x_2)
% 202.84/202.72 <=> hAPP(V_f_2,hAPP(c_Product__Type_Osnd(T_b,T_d),V_x_2)) = hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_b,T_d),V_x_2)) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_snd__def,axiom,
% 202.84/202.72 ! [V_p_2,T_b,T_c] : hAPP(c_Product__Type_Osnd(T_c,T_b),V_p_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,T_b),hAPP(c_COMBK(tc_fun(T_b,T_b),T_c),c_COMBI(T_b))),V_p_2) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_snd__conv,axiom,
% 202.84/202.72 ! [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 ).
% 202.84/202.72
% 202.84/202.72 fof(fact_snd__eqD,axiom,
% 202.84/202.72 ! [V_a,V_y,V_x,T_a,T_b] :
% 202.84/202.72 ( 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
% 202.84/202.72 => V_y = V_a ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_mod__int__def,axiom,
% 202.84/202.72 ! [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)) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_nat_Osize_I1_J,axiom,
% 202.84/202.72 c_Nat_Onat_Onat__size(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_mod__neg__pos,axiom,
% 202.84/202.72 ! [V_b,V_a] :
% 202.84/202.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 202.84/202.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 202.84/202.72 => 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)) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_mod__pos__pos,axiom,
% 202.84/202.72 ! [V_b,V_a] :
% 202.84/202.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 202.84/202.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 202.84/202.72 => 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)) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_mod__pos__pos__1__number__of,axiom,
% 202.84/202.72 ! [V_w] :
% 202.84/202.72 ( 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)))
% 202.84/202.72 => 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))) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_mod__pos__neg,axiom,
% 202.84/202.72 ! [V_b,V_a] :
% 202.84/202.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 202.84/202.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 202.84/202.72 => 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)))) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_mod__neg__neg,axiom,
% 202.84/202.72 ! [V_b,V_a] :
% 202.84/202.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 202.84/202.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 202.84/202.72 => 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)))) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_in__measure,axiom,
% 202.84/202.72 ! [V_f_2,V_y_2,V_x_2,T_b] :
% 202.84/202.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(c_Wellfounded_Omeasure(T_b),V_f_2)))
% 202.84/202.72 <=> 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))) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_transfer__int__nat__sum__prod2_I1_J,axiom,
% 202.84/202.72 ! [V_f_2,V_A_2,T_b] :
% 202.84/202.72 ( ! [B_x] :
% 202.84/202.72 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 202.84/202.72 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) )
% 202.84/202.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Int_Oint),V_f_2),V_A_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Nat_Onat,T_b),c_Int_Onat),V_f_2)),V_A_2)) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_folding_Oremove,axiom,
% 202.84/202.72 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 202.84/202.72 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 202.84/202.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.84/202.72 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.84/202.72 => hAPP(V_F_2,V_A_2) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(V_f_2,V_x_2)) ) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_folding_Ocommute__left__comp,axiom,
% 202.84/202.72 ! [V_g_2,V_x_2,V_y_2,T_d,V_F_2,V_f_2,T_c,T_b] :
% 202.84/202.72 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 202.84/202.72 => hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_y_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_y_2)),V_g_2)) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_folding_Ocommute__comp,axiom,
% 202.84/202.72 ! [V_x_2,V_y_2,V_F_2,V_f_2,T_c,T_b] :
% 202.84/202.72 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 202.84/202.72 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_y_2)),hAPP(V_f_2,V_x_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_folding_Ocommute__comps_I1_J,axiom,
% 202.84/202.72 ! [V_h_2,V_g_2,T_g,V_f_2,T_d,T_e,T_f,V_F_2,V_fa_2,T_c,T_b] :
% 202.84/202.72 ( c_Finite__Set_Ofolding(T_b,T_c,V_fa_2,V_F_2)
% 202.84/202.72 => hAPP(c_Fun_Ocomp(T_f,T_e,T_d,V_f_2),hAPP(c_Fun_Ocomp(T_g,T_f,T_d,V_g_2),V_h_2)) = hAPP(c_Fun_Ocomp(T_g,T_e,T_d,hAPP(c_Fun_Ocomp(T_f,T_e,T_g,V_f_2),V_g_2)),V_h_2) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_mod__nat__def,axiom,
% 202.84/202.72 ! [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)) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_folding_Ocommute__left__comp_H_H,axiom,
% 202.84/202.72 ! [V_g_2,T_d,V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 202.84/202.72 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 202.84/202.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.84/202.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 202.84/202.72 => hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_B_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_A_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_A_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_B_2)),V_g_2)) ) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_folding_Ocommute__comp_H_H,axiom,
% 202.84/202.72 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 202.84/202.72 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 202.84/202.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.84/202.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 202.84/202.72 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_B_2)),hAPP(V_F_2,V_A_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_folding_Ocommute__left__comp_H,axiom,
% 202.84/202.72 ! [V_g_2,V_x_2,T_d,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 202.84/202.72 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 202.84/202.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.84/202.72 => hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_A_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_A_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),V_g_2)) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_folding_Ocommute__comp_H,axiom,
% 202.84/202.72 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 202.84/202.72 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 202.84/202.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.84/202.72 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_x_2)),hAPP(V_F_2,V_A_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_folding_Oeq__fold,axiom,
% 202.84/202.72 ! [V_s_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 202.84/202.72 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 202.84/202.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.84/202.72 => hAPP(hAPP(V_F_2,V_A_2),V_s_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_s_2),V_A_2) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_folding_Oinsert,axiom,
% 202.84/202.72 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 202.84/202.72 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 202.84/202.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.84/202.72 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.84/202.72 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) ) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_folding_Ounion__inter,axiom,
% 202.84/202.72 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 202.84/202.72 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 202.84/202.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.84/202.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 202.84/202.72 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_folding_Oinsert__remove,axiom,
% 202.84/202.72 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 202.84/202.72 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 202.84/202.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.84/202.72 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(V_f_2,V_x_2)) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_folding_Ounion,axiom,
% 202.84/202.72 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 202.84/202.72 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 202.84/202.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.84/202.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 202.84/202.72 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.84/202.72 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_norm__frac_Opinduct,axiom,
% 202.84/202.72 ! [V_P_2,V_a1_2,V_a0_2] :
% 202.84/202.72 ( 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)))
% 202.84/202.72 => ( ! [B_a,B_b] :
% 202.84/202.72 ( 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)))
% 202.84/202.72 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 202.84/202.72 => 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))) )
% 202.84/202.72 => hBOOL(hAPP(hAPP(V_P_2,B_a),B_b)) ) )
% 202.84/202.72 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_div__pos__neg__1__number__of,axiom,
% 202.84/202.72 ! [V_w] :
% 202.84/202.72 ( 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)))
% 202.84/202.72 => 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))))) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_nat__def,axiom,
% 202.84/202.72 ! [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)))))) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_Pair__fst__snd__eq,axiom,
% 202.84/202.72 ! [T_c,T_b,V_t_2,V_s_2] :
% 202.84/202.72 ( V_s_2 = V_t_2
% 202.84/202.72 <=> ( hAPP(c_Product__Type_Ofst(T_b,T_c),V_s_2) = hAPP(c_Product__Type_Ofst(T_b,T_c),V_t_2)
% 202.84/202.72 & hAPP(c_Product__Type_Osnd(T_b,T_c),V_s_2) = hAPP(c_Product__Type_Osnd(T_b,T_c),V_t_2) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_prod__eqI,axiom,
% 202.84/202.72 ! [V_q,V_p,T_b,T_a] :
% 202.84/202.72 ( hAPP(c_Product__Type_Ofst(T_a,T_b),V_p) = hAPP(c_Product__Type_Ofst(T_a,T_b),V_q)
% 202.84/202.72 => ( hAPP(c_Product__Type_Osnd(T_a,T_b),V_p) = hAPP(c_Product__Type_Osnd(T_a,T_b),V_q)
% 202.84/202.72 => V_p = V_q ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_fst__apsnd,axiom,
% 202.84/202.72 ! [V_x_2,V_f_2,T_d,T_c,T_b] : hAPP(c_Product__Type_Ofst(T_b,T_c),hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),V_x_2)) = hAPP(c_Product__Type_Ofst(T_b,T_d),V_x_2) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_fst__def,axiom,
% 202.84/202.72 ! [V_p_2,T_c,T_b] : hAPP(c_Product__Type_Ofst(T_b,T_c),V_p_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_b),c_COMBK(T_b,T_c)),V_p_2) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_Rep__Integ__inject,axiom,
% 202.84/202.72 ! [V_y_2,V_x_2] :
% 202.84/202.72 ( hAPP(c_Int_ORep__Integ,V_x_2) = hAPP(c_Int_ORep__Integ,V_y_2)
% 202.84/202.72 <=> V_x_2 = V_y_2 ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_fst__conv,axiom,
% 202.84/202.72 ! [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 ).
% 202.84/202.72
% 202.84/202.72 fof(fact_fst__eqD,axiom,
% 202.84/202.72 ! [V_a,V_y,V_x,T_b,T_a] :
% 202.84/202.72 ( 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
% 202.84/202.72 => V_x = V_a ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_surjective__pairing,axiom,
% 202.84/202.72 ! [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)) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_pair__collapse,axiom,
% 202.84/202.72 ! [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 ).
% 202.84/202.72
% 202.84/202.72 fof(fact_prod__case__beta,axiom,
% 202.84/202.72 ! [V_p_2,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2),V_p_2) = hAPP(hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_p_2)),hAPP(c_Product__Type_Osnd(T_c,T_d),V_p_2)) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_div__int__def,axiom,
% 202.84/202.72 ! [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)) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_split__comp__eq,axiom,
% 202.84/202.72 ! [V_g_2,V_f_2,T_e,T_d,T_c,T_b] : hAPP(hAPP(c_COMBS(tc_prod(T_b,T_c),T_c,T_d),hAPP(hAPP(c_COMBB(T_e,tc_fun(T_c,T_d),tc_prod(T_b,T_c)),V_f_2),hAPP(hAPP(c_COMBB(T_b,T_e,tc_prod(T_b,T_c)),V_g_2),c_Product__Type_Ofst(T_b,T_c)))),c_Product__Type_Osnd(T_b,T_c)) = hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),hAPP(hAPP(c_COMBB(T_e,tc_fun(T_c,T_d),T_b),V_f_2),V_g_2)) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_split__beta,axiom,
% 202.84/202.72 ! [V_z_2,V_P_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_P_2),V_z_2) = hAPP(hAPP(V_P_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_z_2)),hAPP(c_Product__Type_Osnd(T_c,T_d),V_z_2)) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_split__def,axiom,
% 202.84/202.72 ! [V_p_2,V_c_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_c_2),V_p_2) = hAPP(hAPP(V_c_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_p_2)),hAPP(c_Product__Type_Osnd(T_c,T_d),V_p_2)) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_split__comp,axiom,
% 202.84/202.72 ! [V_x_2,V_g_2,V_f_2,T_e,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),hAPP(c_Fun_Ocomp(T_e,tc_fun(T_d,T_b),T_c,V_f_2),V_g_2)),V_x_2) = hAPP(hAPP(V_f_2,hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_x_2))),hAPP(c_Product__Type_Osnd(T_c,T_d),V_x_2)) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_div__neg__pos,axiom,
% 202.84/202.72 ! [V_b,V_a] :
% 202.84/202.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 202.84/202.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 202.84/202.72 => 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)) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_div__pos__pos,axiom,
% 202.84/202.72 ! [V_b,V_a] :
% 202.84/202.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 202.84/202.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 202.84/202.72 => 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)) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_div__pos__pos__1__number__of,axiom,
% 202.84/202.72 ! [V_w] :
% 202.84/202.72 ( 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)))
% 202.84/202.72 => 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))) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_div__pos__neg,axiom,
% 202.84/202.72 ! [V_b,V_a] :
% 202.84/202.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 202.84/202.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 202.84/202.72 => 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)))) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_div__neg__neg,axiom,
% 202.84/202.72 ! [V_b,V_a] :
% 202.84/202.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 202.84/202.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 202.84/202.72 => 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)))) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_prod__size__simp,axiom,
% 202.84/202.72 ! [V_p_2,V_g_2,V_f_2,T_c,T_b] : c_Product__Type_Oprod_Oprod__size(T_b,T_c,V_f_2,V_g_2,V_p_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_b,T_c),V_p_2))),hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_b,T_c),V_p_2)))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_exI__realizer,axiom,
% 202.84/202.72 ! [T_b,T_c,V_x_2,V_y_2,V_P_2] :
% 202.84/202.72 ( hBOOL(hAPP(hAPP(V_P_2,V_y_2),V_x_2))
% 202.84/202.72 => hBOOL(hAPP(hAPP(V_P_2,hAPP(c_Product__Type_Osnd(T_c,T_b),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_x_2),V_y_2))),hAPP(c_Product__Type_Ofst(T_c,T_b),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_x_2),V_y_2)))) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_conjI__realizer,axiom,
% 202.84/202.72 ! [T_c,T_b,V_q_2,V_Q_2,V_p_2,V_P_2] :
% 202.84/202.72 ( hBOOL(hAPP(V_P_2,V_p_2))
% 202.84/202.72 => ( hBOOL(hAPP(V_Q_2,V_q_2))
% 202.84/202.72 => ( hBOOL(hAPP(V_P_2,hAPP(c_Product__Type_Ofst(T_b,T_c),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_p_2),V_q_2))))
% 202.84/202.72 & hBOOL(hAPP(V_Q_2,hAPP(c_Product__Type_Osnd(T_b,T_c),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_p_2),V_q_2)))) ) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_div__nat__def,axiom,
% 202.84/202.72 ! [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)) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_divmod__nat__rel__def,axiom,
% 202.84/202.72 ! [V_qr_2,V_n_2,V_m_2] :
% 202.84/202.72 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m_2,V_n_2),V_qr_2))
% 202.84/202.72 <=> ( V_m_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(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))
% 202.84/202.72 & ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.84/202.72 => hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),V_qr_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 202.84/202.72 & ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.84/202.72 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))
% 202.84/202.72 => ( 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)))
% 202.84/202.72 & 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)) ) )
% 202.84/202.72 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))
% 202.84/202.72 => ( 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)))
% 202.84/202.72 & 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))) ) ) ) ) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_UN__finite2__subset,axiom,
% 202.84/202.72 ! [V_B_2,V_k_2,V_A_2,T_b] :
% 202.84/202.72 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_n),V_k_2))),V_B_2)))
% 202.84/202.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_B_2))) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_nat__gcd_Opinduct,axiom,
% 202.84/202.72 ! [V_P_2,V_a1_2,V_a0_2] :
% 202.84/202.72 ( 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)))
% 202.84/202.72 => ( ! [B_x,B_y] :
% 202.84/202.72 ( 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)))
% 202.84/202.72 => ( ( B_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.84/202.72 => hBOOL(hAPP(hAPP(V_P_2,B_y),c_Divides_Odiv__class_Omod(tc_Nat_Onat,B_x,B_y))) )
% 202.84/202.72 => hBOOL(hAPP(hAPP(V_P_2,B_x),B_y)) ) )
% 202.84/202.72 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_range,axiom,
% 202.84/202.72 ! [V_s,V_k] :
% 202.84/202.72 ( 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))
% 202.84/202.72 => 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)) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_mlex__leq,axiom,
% 202.84/202.72 ! [V_R_2,T_b,V_y_2,V_x_2,V_f_2] :
% 202.84/202.72 ( 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)))
% 202.84/202.72 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_R_2))
% 202.84/202.72 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2))) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_mlex__less,axiom,
% 202.84/202.72 ! [V_R_2,T_b,V_y_2,V_x_2,V_f_2] :
% 202.84/202.72 ( 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)))
% 202.84/202.72 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2))) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_Least__mono,axiom,
% 202.84/202.72 ! [V_S_2,V_f_2,T_b,T_c] :
% 202.84/202.72 ( ( class_Orderings_Oorder(T_c)
% 202.84/202.72 & class_Orderings_Oorder(T_b) )
% 202.84/202.72 => ( c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2)
% 202.84/202.72 => ( ? [B_x] :
% 202.84/202.72 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 202.84/202.72 & ! [B_xa] :
% 202.84/202.72 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_S_2))
% 202.84/202.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) ) )
% 202.84/202.72 => c_Orderings_Oord__class_OLeast(T_c,hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_S_2))) = hAPP(V_f_2,c_Orderings_Oord__class_OLeast(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2))) ) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_LeastI__ex,axiom,
% 202.84/202.72 ! [V_P_2,T_b] :
% 202.84/202.72 ( class_Orderings_Owellorder(T_b)
% 202.84/202.72 => ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 202.84/202.72 => hBOOL(hAPP(V_P_2,c_Orderings_Oord__class_OLeast(T_b,V_P_2))) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_LeastI,axiom,
% 202.84/202.72 ! [V_k_2,V_P_2,T_b] :
% 202.84/202.72 ( class_Orderings_Owellorder(T_b)
% 202.84/202.72 => ( hBOOL(hAPP(V_P_2,V_k_2))
% 202.84/202.72 => hBOOL(hAPP(V_P_2,c_Orderings_Oord__class_OLeast(T_b,V_P_2))) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_Least__le,axiom,
% 202.84/202.72 ! [V_k_2,V_P_2,T_b] :
% 202.84/202.72 ( class_Orderings_Owellorder(T_b)
% 202.84/202.72 => ( hBOOL(hAPP(V_P_2,V_k_2))
% 202.84/202.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Orderings_Oord__class_OLeast(T_b,V_P_2)),V_k_2)) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_not__less__Least,axiom,
% 202.84/202.72 ! [V_P_2,V_k_2,T_b] :
% 202.84/202.72 ( class_Orderings_Owellorder(T_b)
% 202.84/202.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),c_Orderings_Oord__class_OLeast(T_b,V_P_2)))
% 202.84/202.72 => ~ hBOOL(hAPP(V_P_2,V_k_2)) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_Least__Suc,axiom,
% 202.84/202.72 ! [V_n_2,V_P_2] :
% 202.84/202.72 ( hBOOL(hAPP(V_P_2,V_n_2))
% 202.84/202.72 => ( ~ hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 202.84/202.72 => c_Orderings_Oord__class_OLeast(tc_Nat_Onat,V_P_2) = hAPP(c_Nat_OSuc,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_Nat_Onat),V_P_2),c_Nat_OSuc))) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_folding__image_Oreindex,axiom,
% 202.84/202.72 ! [V_g_2,V_h_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 202.84/202.72 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 202.84/202.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 202.84/202.72 => ( c_Fun_Oinj__on(T_c,T_c,V_h_2,V_A_2)
% 202.84/202.72 => hAPP(hAPP(V_F_2,V_g_2),hAPP(c_Set_Oimage(T_c,T_c,V_h_2),V_A_2)) = hAPP(hAPP(V_F_2,hAPP(c_Fun_Ocomp(T_c,T_b,T_c,V_g_2),V_h_2)),V_A_2) ) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_nat_Osize_I4_J,axiom,
% 202.84/202.72 ! [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))) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_prod_Orecs,axiom,
% 202.84/202.72 ! [V_b_2,V_a_2,V_f1_2,T_b,T_d,T_c] : c_Product__Type_Oprod_Oprod__rec(T_c,T_d,T_b,V_f1_2,hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_b_2) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_nat__size,axiom,
% 202.84/202.72 ! [V_n] : hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),V_n) = V_n ).
% 202.84/202.72
% 202.84/202.72 fof(fact_folding__image_Odistrib,axiom,
% 202.84/202.72 ! [V_h_2,V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 202.84/202.72 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 202.84/202.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 202.84/202.72 => hAPP(hAPP(V_F_2,hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),V_f_2),V_g_2)),V_h_2)),V_A_2) = hAPP(hAPP(V_f_2,hAPP(hAPP(V_F_2,V_g_2),V_A_2)),hAPP(hAPP(V_F_2,V_h_2),V_A_2)) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_nat_Osize_I3_J,axiom,
% 202.84/202.72 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) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_folding__image_Oeq__fold,axiom,
% 202.84/202.72 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 202.84/202.72 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 202.84/202.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 202.84/202.72 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_c,V_f_2),V_g_2),V_z_2),V_A_2) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_setsum__reindex__nonzero,axiom,
% 202.84/202.72 ! [T_c,V_h_2,V_f_2,V_S_2,T_b,T_d] :
% 202.84/202.72 ( class_Groups_Ocomm__monoid__add(T_d)
% 202.84/202.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 202.84/202.72 => ( ! [B_x] :
% 202.84/202.72 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 202.84/202.72 => ! [B_y] :
% 202.84/202.72 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_S_2))
% 202.84/202.72 => ( B_x != B_y
% 202.84/202.72 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y)
% 202.84/202.72 => hAPP(V_h_2,hAPP(V_f_2,B_x)) = c_Groups_Ozero__class_Ozero(T_d) ) ) ) )
% 202.84/202.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_h_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_S_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2)),V_S_2) ) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_UN__finite2__eq,axiom,
% 202.84/202.72 ! [V_B_2,V_k_2,V_A_2,T_b] :
% 202.84/202.72 ( ! [B_n] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)),V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_n),V_k_2))),V_B_2)
% 202.84/202.72 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_B_2) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_UN__finite__subset,axiom,
% 202.84/202.72 ! [V_C_2,V_A_2,T_b] :
% 202.84/202.72 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)),V_A_2)),V_C_2))
% 202.84/202.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_A_2)),V_C_2)) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_image__INT,axiom,
% 202.84/202.72 ! [V_j_2,V_B_2,V_A_2,T_d,V_C_2,V_f_2,T_c,T_b] :
% 202.84/202.72 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2)
% 202.84/202.72 => ( ! [B_x] :
% 202.84/202.72 ( hBOOL(hAPP(hAPP(c_member(T_d),B_x),V_A_2))
% 202.84/202.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_B_2,B_x)),V_C_2)) )
% 202.84/202.72 => ( hBOOL(hAPP(hAPP(c_member(T_d),V_j_2),V_A_2))
% 202.84/202.72 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_d),c_Set_Oimage(T_b,T_c,V_f_2)),V_B_2)) ) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_in__lex__prod,axiom,
% 202.84/202.72 ! [V_s_2,V_r_2,V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] :
% 202.84/202.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_H_2),V_b_H_2))),c_Wellfounded_Olex__prod(T_b,T_c,V_r_2,V_s_2)))
% 202.84/202.72 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_H_2)),V_r_2))
% 202.84/202.72 | ( V_a_2 = V_a_H_2
% 202.84/202.72 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_b_2),V_b_H_2)),V_s_2)) ) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_in__finite__psubset,axiom,
% 202.84/202.72 ! [V_B_2,V_A_2,T_b] :
% 202.84/202.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),c_Wellfounded_Ofinite__psubset(T_b)))
% 202.84/202.72 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 202.84/202.72 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_same__fstI,axiom,
% 202.84/202.72 ! [T_b,V_R_2,V_y_2,V_y_H_2,T_c,V_x_2,V_P_2] :
% 202.84/202.72 ( hBOOL(hAPP(V_P_2,V_x_2))
% 202.84/202.72 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_y_H_2),V_y_2)),hAPP(V_R_2,V_x_2)))
% 202.84/202.72 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_H_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2))),c_Recdef_Osame__fst(T_b,T_c,V_P_2,V_R_2))) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_folding__idem_Ounion__idem,axiom,
% 202.84/202.72 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 202.84/202.72 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 202.84/202.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.84/202.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 202.84/202.72 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_folding__idem_Osubset__comp__idem,axiom,
% 202.84/202.72 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 202.84/202.72 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 202.84/202.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.84/202.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 202.84/202.72 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) = hAPP(V_F_2,V_A_2) ) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_folding__idem_Oidem__left__comp,axiom,
% 202.84/202.72 ! [V_g_2,V_x_2,T_d,V_F_2,V_f_2,T_c,T_b] :
% 202.84/202.72 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 202.84/202.72 => hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),V_g_2) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_folding__idem_Oidem__comp,axiom,
% 202.84/202.72 ! [V_x_2,V_F_2,V_f_2,T_c,T_b] :
% 202.84/202.72 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 202.84/202.72 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_x_2)) = hAPP(V_f_2,V_x_2) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_folding__idem_Oin__comp__idem,axiom,
% 202.84/202.72 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 202.84/202.72 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 202.84/202.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.84/202.72 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.84/202.72 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) = hAPP(V_F_2,V_A_2) ) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_folding__idem_Oinsert__idem,axiom,
% 202.84/202.72 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 202.84/202.72 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 202.84/202.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.84/202.72 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_setsum__nonneg__leq__bound,axiom,
% 202.84/202.72 ! [V_i_2,V_B_2,V_f_2,V_s_2,T_b,T_c] :
% 202.84/202.72 ( class_Groups_Oordered__ab__group__add(T_c)
% 202.84/202.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2))
% 202.84/202.72 => ( ! [B_i] :
% 202.84/202.72 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_s_2))
% 202.84/202.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_i))) )
% 202.84/202.72 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_s_2) = V_B_2
% 202.84/202.72 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_s_2))
% 202.84/202.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_i_2)),V_B_2)) ) ) ) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_setsum__nonneg__0,axiom,
% 202.84/202.72 ! [V_i_2,V_f_2,V_s_2,T_b,T_c] :
% 202.84/202.72 ( class_Groups_Oordered__ab__group__add(T_c)
% 202.84/202.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2))
% 202.84/202.72 => ( ! [B_i] :
% 202.84/202.72 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_s_2))
% 202.84/202.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_i))) )
% 202.84/202.72 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_s_2) = c_Groups_Ozero__class_Ozero(T_c)
% 202.84/202.72 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_s_2))
% 202.84/202.72 => hAPP(V_f_2,V_i_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_sum__diff__distrib,axiom,
% 202.84/202.72 ! [V_n_2,V_P_2,V_Q_2] :
% 202.84/202.72 ( ! [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)))
% 202.84/202.72 => 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)) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_apsnd__apfst,axiom,
% 202.84/202.72 ! [V_x_2,V_g_2,T_e,V_f_2,T_b,T_c,T_d] : hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),hAPP(c_Product__Type_Oapfst(T_e,T_b,T_d,V_g_2),V_x_2)) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_e,T_d),V_x_2))),hAPP(V_f_2,hAPP(c_Product__Type_Osnd(T_e,T_d),V_x_2))) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_apfst__apsnd,axiom,
% 202.84/202.72 ! [V_x_2,V_g_2,T_e,V_f_2,T_c,T_b,T_d] : hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_f_2),hAPP(c_Product__Type_Oapsnd(T_e,T_c,T_d,V_g_2),V_x_2)) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_d,T_e),V_x_2))),hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_d,T_e),V_x_2))) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_pair__lessI2,axiom,
% 202.84/202.72 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 202.84/202.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2))
% 202.84/202.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s_2),V_t_2))
% 202.84/202.72 => 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)) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_snd__apfst,axiom,
% 202.84/202.72 ! [V_x_2,V_f_2,T_d,T_b,T_c] : hAPP(c_Product__Type_Osnd(T_c,T_b),hAPP(c_Product__Type_Oapfst(T_d,T_c,T_b,V_f_2),V_x_2)) = hAPP(c_Product__Type_Osnd(T_d,T_b),V_x_2) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_apfst__conv,axiom,
% 202.84/202.72 ! [V_y_2,V_x_2,V_f_2,T_c,T_b,T_d] : hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_d,T_c),V_x_2),V_y_2)) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),hAPP(V_f_2,V_x_2)),V_y_2) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_apfst__eq__conv,axiom,
% 202.84/202.72 ! [V_g_2,V_x_2,V_f_2,T_c,T_b,T_d] :
% 202.84/202.72 ( hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_f_2),V_x_2) = hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_g_2),V_x_2)
% 202.84/202.72 <=> hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_d,T_c),V_x_2)) = hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_d,T_c),V_x_2)) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_fst__apfst,axiom,
% 202.84/202.72 ! [V_x_2,V_f_2,T_d,T_c,T_b] : hAPP(c_Product__Type_Ofst(T_b,T_c),hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_f_2),V_x_2)) = hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_d,T_c),V_x_2)) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_apfst__compose,axiom,
% 202.84/202.72 ! [V_x_2,V_g_2,T_e,V_f_2,T_c,T_b,T_d] : hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_f_2),hAPP(c_Product__Type_Oapfst(T_e,T_d,T_c,V_g_2),V_x_2)) = hAPP(c_Product__Type_Oapfst(T_e,T_b,T_c,hAPP(c_Fun_Ocomp(T_d,T_b,T_e,V_f_2),V_g_2)),V_x_2) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_apsnd__apfst__commute,axiom,
% 202.84/202.72 ! [V_p_2,V_g_2,T_e,V_f_2,T_b,T_c,T_d] : hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),hAPP(c_Product__Type_Oapfst(T_e,T_b,T_d,V_g_2),V_p_2)) = hAPP(c_Product__Type_Oapfst(T_e,T_b,T_c,V_g_2),hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_e,V_f_2),V_p_2)) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_pair__lessI1,axiom,
% 202.84/202.72 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 202.84/202.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 202.84/202.72 => 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)) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_pair__leqI2,axiom,
% 202.84/202.72 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 202.84/202.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2))
% 202.84/202.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_s_2),V_t_2))
% 202.84/202.72 => 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)) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_smin__insertI,axiom,
% 202.84/202.72 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] :
% 202.84/202.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2))
% 202.84/202.72 => ( 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))
% 202.84/202.72 => ( 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))
% 202.84/202.72 => 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)) ) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_smax__insertI,axiom,
% 202.84/202.72 ! [V_X_2,V_x_2,V_Y_2,V_y_2] :
% 202.84/202.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_Y_2))
% 202.84/202.72 => ( 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))
% 202.84/202.72 => ( 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))
% 202.84/202.72 => 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)) ) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_smax__emptyI,axiom,
% 202.84/202.72 ! [V_Y_2] :
% 202.84/202.72 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_Y_2))
% 202.84/202.72 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))
% 202.84/202.72 => 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)) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_smin__emptyI,axiom,
% 202.84/202.72 ! [V_X_2] :
% 202.84/202.72 ( V_X_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))
% 202.84/202.72 => 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)) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_pair__leqI1,axiom,
% 202.84/202.72 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 202.84/202.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 202.84/202.72 => 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)) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_wmax__insertI,axiom,
% 202.84/202.72 ! [V_XS_2,V_x_2,V_YS_2,V_y_2] :
% 202.84/202.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_YS_2))
% 202.84/202.72 => ( 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))
% 202.84/202.72 => ( 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))
% 202.84/202.72 => 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)) ) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_wmin__insertI,axiom,
% 202.84/202.72 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] :
% 202.84/202.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2))
% 202.84/202.72 => ( 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))
% 202.84/202.72 => ( 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))
% 202.84/202.72 => 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)) ) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_wmax__emptyI,axiom,
% 202.84/202.72 ! [V_X_2] :
% 202.84/202.72 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_X_2))
% 202.84/202.72 => 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)) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_wmin__emptyI,axiom,
% 202.84/202.72 ! [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)) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_min__weak__def,axiom,
% 202.84/202.72 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)))) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_max__weak__def,axiom,
% 202.84/202.72 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)))) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_min__rpair__set,axiom,
% 202.84/202.72 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)) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_max__strict__def,axiom,
% 202.84/202.72 c_FunDef_Omax__strict = c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_max__ext__additive,axiom,
% 202.84/202.72 ! [V_D_2,V_C_2,V_R_2,V_B_2,V_A_2,T_b] :
% 202.84/202.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),c_Wellfounded_Omax__ext(T_b,V_R_2)))
% 202.84/202.72 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2)),c_Wellfounded_Omax__ext(T_b,V_R_2)))
% 202.84/202.72 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2))),c_Wellfounded_Omax__ext(T_b,V_R_2))) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_min__strict__def,axiom,
% 202.84/202.72 c_FunDef_Omin__strict = c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_max__rpair__set,axiom,
% 202.84/202.72 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)) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_max__extp__max__ext__eq,axiom,
% 202.84/202.72 ! [V_xa_2,V_x_2,V_R_2,T_b] :
% 202.84/202.72 ( c_Wellfounded_Omax__extp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_R_2),V_x_2,V_xa_2)
% 202.84/202.72 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_x_2),V_xa_2)),c_Wellfounded_Omax__ext(T_b,V_R_2))) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_less__than__iff,axiom,
% 202.84/202.72 ! [V_y_2,V_x_2] :
% 202.84/202.72 ( 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_x_2),V_y_2)),c_Wellfounded_Oless__than))
% 202.84/202.72 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_intrel__iff,axiom,
% 202.84/202.72 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 202.84/202.72 ( 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))
% 202.84/202.72 <=> 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) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_pair__less__def,axiom,
% 202.84/202.72 c_FunDef_Opair__less = c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_Nat_Onat,c_Wellfounded_Oless__than,c_Wellfounded_Oless__than) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_mlex__prod__def,axiom,
% 202.84/202.72 ! [V_R_2,V_f_2,T_b] : c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat,T_b),T_b),c_Wellfounded_Olex__prod(tc_Nat_Onat,T_b,c_Wellfounded_Oless__than,V_R_2)),hAPP(hAPP(c_COMBS(T_b,T_b,tc_prod(tc_Nat_Onat,T_b)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_b,tc_prod(tc_Nat_Onat,T_b)),T_b),c_Product__Type_OPair(tc_Nat_Onat,T_b)),V_f_2)),c_COMBI(T_b))) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_rp__inv__image__rp,axiom,
% 202.84/202.72 ! [V_f_2,T_c,V_P_2,T_b] :
% 202.84/202.72 ( c_FunDef_Oreduction__pair(T_b,V_P_2)
% 202.84/202.72 => c_FunDef_Oreduction__pair(T_c,hAPP(hAPP(c_FunDef_Orp__inv__image(T_b,T_c),V_P_2),V_f_2)) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_strong__setprod__reindex__cong,axiom,
% 202.84/202.72 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] :
% 202.84/202.72 ( class_Groups_Ocomm__monoid__mult(T_d)
% 202.84/202.72 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 202.84/202.72 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)
% 202.84/202.72 => ( ! [B_x] :
% 202.84/202.72 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 202.84/202.72 => hAPP(V_g_2,B_x) = hAPP(hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2),B_x) )
% 202.84/202.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_h_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_d),V_g_2),V_A_2) ) ) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_rp__inv__image__def,axiom,
% 202.84/202.72 ! [T_c,T_b] : c_FunDef_Orp__inv__image(T_b,T_c) = hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),hAPP(hAPP(c_COMBC(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),tc_fun(tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))))),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),tc_fun(tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_COMBS(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),tc_fun(tc_fun(T_c,T_b),tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))),tc_fun(T_c,T_b)),c_Product__Type_OPair(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),c_Relation_Oinv__image(T_b,T_c))))),c_Relation_Oinv__image(T_b,T_c))) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_in__inv__image,axiom,
% 202.84/202.72 ! [V_f_2,V_r_2,T_c,V_y_2,V_x_2,T_b] :
% 202.84/202.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(hAPP(c_Relation_Oinv__image(T_c,T_b),V_r_2),V_f_2)))
% 202.84/202.72 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))),V_r_2)) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_equiv__intrel__iff,axiom,
% 202.84/202.72 ! [V_y_2,V_x_2] :
% 202.84/202.72 ( 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))))
% 202.84/202.72 <=> 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)) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_transfer__nat__int__sum__prod__cong_I2_J,axiom,
% 202.84/202.72 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_b] :
% 202.84/202.72 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 202.84/202.72 & class_Groups_Ocomm__monoid__mult(T_b) )
% 202.84/202.72 => ( V_A_2 = V_B_2
% 202.84/202.72 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 202.84/202.72 => ( ! [B_x] :
% 202.84/202.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 202.84/202.72 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) )
% 202.84/202.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_b),V_g_2),V_B_2) ) ) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_Image__empty,axiom,
% 202.84/202.72 ! [V_R_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,V_R_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_Image__Un,axiom,
% 202.84/202.72 ! [V_B_2,V_A_2,V_R_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,V_R_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_B_2)) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_Un__Image,axiom,
% 202.84/202.72 ! [V_A_2,V_S_2,V_R_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_R_2),V_S_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_c,T_b,V_S_2),V_A_2)) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_Image__Int__subset,axiom,
% 202.84/202.72 ! [V_B_2,V_A_2,V_R_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_B_2)))) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_Image__mono,axiom,
% 202.84/202.72 ! [V_A_2,V_A_H_2,V_r_2,V_r_H_2,T_c,T_b] :
% 202.84/202.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_H_2),V_r_2))
% 202.84/202.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_H_2),V_A_2))
% 202.84/202.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_c,V_r_H_2),V_A_H_2)),hAPP(c_Relation_OImage(T_b,T_c,V_r_2),V_A_2))) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_Image__INT__subset,axiom,
% 202.84/202.72 ! [V_B_2,V_A_2,T_d,V_r_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Relation_OImage(T_c,T_b,V_r_2)),V_B_2)))) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_Image__UN,axiom,
% 202.84/202.72 ! [V_B_2,V_A_2,T_d,V_r_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,V_r_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Relation_OImage(T_c,T_b,V_r_2)),V_B_2)) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_Image__iff,axiom,
% 202.84/202.72 ! [V_A_2,V_r_2,T_c,V_b_2,T_b] :
% 202.84/202.72 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2)))
% 202.84/202.72 <=> ? [B_x] :
% 202.84/202.72 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 202.84/202.72 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),B_x),V_b_2)),V_r_2)) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_rev__ImageI,axiom,
% 202.84/202.72 ! [V_r_2,V_b_2,T_c,V_A_2,V_a_2,T_b] :
% 202.84/202.72 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 202.84/202.72 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_r_2))
% 202.84/202.72 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Relation_OImage(T_b,T_c,V_r_2),V_A_2))) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_Image__eq__UN,axiom,
% 202.84/202.72 ! [V_B_2,V_r_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Relation_OImage(T_c,T_b,V_r_2)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),c_Set_Oinsert(T_c)),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_Image__singleton__iff,axiom,
% 202.84/202.72 ! [V_a_2,V_r_2,T_c,V_b_2,T_b] :
% 202.84/202.72 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))))
% 202.84/202.72 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_a_2),V_b_2)),V_r_2)) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_measure__def,axiom,
% 202.84/202.72 ! [T_b] : c_Wellfounded_Omeasure(T_b) = hAPP(c_Relation_Oinv__image(tc_Nat_Onat,T_b),c_Wellfounded_Oless__than) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_of__int,axiom,
% 202.84/202.72 ! [V_j_2,V_i_2,T_b] :
% 202.84/202.72 ( class_Rings_Oring__1(T_b)
% 202.84/202.72 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_i_2),V_j_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_i_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_j_2)) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_One__int__def,axiom,
% 202.84/202.72 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))))) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_mult,axiom,
% 202.84/202.72 ! [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))))) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_Rep__Integ__inverse,axiom,
% 202.84/202.72 ! [V_x_2] : hAPP(c_Int_OAbs__Integ,hAPP(c_Int_ORep__Integ,V_x_2)) = V_x_2 ).
% 202.84/202.72
% 202.84/202.72 fof(fact_minus,axiom,
% 202.84/202.72 ! [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))))) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_Zero__int__def,axiom,
% 202.84/202.72 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))))) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_int__def,axiom,
% 202.84/202.72 ! [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))))) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_add,axiom,
% 202.84/202.72 ! [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))))) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_nat,axiom,
% 202.84/202.72 ! [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) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_minus__int__def,axiom,
% 202.84/202.72 ! [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))))))) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_less,axiom,
% 202.84/202.72 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 202.84/202.72 ( 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)))))))
% 202.84/202.72 <=> 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))) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_le,axiom,
% 202.84/202.72 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 202.84/202.72 ( 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)))))))
% 202.84/202.72 <=> 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))) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_irrefl__def,axiom,
% 202.84/202.72 ! [V_r_2,T_b] :
% 202.84/202.72 ( c_Relation_Oirrefl(T_b,V_r_2)
% 202.84/202.72 <=> ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_eq__Abs__Integ,axiom,
% 202.84/202.72 ! [V_z_2] :
% 202.84/202.72 ~ ! [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))))) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_Field__insert,axiom,
% 202.84/202.72 ! [V_r_2,V_b_2,V_a_2,T_b] : hAPP(c_Relation_OField(T_b),hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(c_Relation_OField(T_b),V_r_2)) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_Field__Union,axiom,
% 202.84/202.72 ! [V_R_2,T_b] : hAPP(c_Relation_OField(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),V_R_2)) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),c_Relation_OField(T_b)),V_R_2)) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_Field__empty,axiom,
% 202.84/202.72 ! [T_b] : hAPP(c_Relation_OField(T_b),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_mono__Field,axiom,
% 202.84/202.72 ! [V_s_2,V_r_2,T_b] :
% 202.84/202.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 202.84/202.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OField(T_b),V_r_2)),hAPP(c_Relation_OField(T_b),V_s_2))) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_Field__Un,axiom,
% 202.84/202.72 ! [V_s_2,V_r_2,T_b] : hAPP(c_Relation_OField(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OField(T_b),V_r_2)),hAPP(c_Relation_OField(T_b),V_s_2)) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_finite__Field,axiom,
% 202.84/202.72 ! [V_r_2,T_b] :
% 202.84/202.72 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 202.84/202.72 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_OField(T_b),V_r_2))) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_Id__on__def,axiom,
% 202.84/202.72 ! [V_A_2,T_b] : c_Relation_OId__on(T_b,V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),T_b),c_Set_Oinsert(tc_prod(T_b,T_b))),hAPP(hAPP(c_COMBS(T_b,T_b,tc_prod(T_b,T_b)),c_Product__Type_OPair(T_b,T_b)),c_COMBI(T_b)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)))) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_quotient__def,axiom,
% 202.84/202.72 ! [V_r_2,V_A_2,T_b] : hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),T_b),c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_b),c_Relation_OImage(T_b,T_b,V_r_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)))) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_ImageE,axiom,
% 202.84/202.72 ! [V_A_2,V_r_2,T_c,V_b_2,T_b] :
% 202.84/202.72 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2)))
% 202.84/202.72 => ~ ! [B_x] :
% 202.84/202.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),B_x),V_b_2)),V_r_2))
% 202.84/202.72 => ~ hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_quotient__is__empty,axiom,
% 202.84/202.72 ! [V_r_2,V_A_2,T_b] :
% 202.84/202.72 ( hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))
% 202.84/202.72 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_quotient__is__empty2,axiom,
% 202.84/202.72 ! [V_r_2,V_A_2,T_b] :
% 202.84/202.72 ( c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) = hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)
% 202.84/202.72 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_quotient__empty,axiom,
% 202.84/202.72 ! [V_r_2,T_b] : hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_Id__on__def_H,axiom,
% 202.84/202.72 ! [V_A_2,T_b] : c_Relation_OId__on(T_b,V_A_2) = hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),c_fequal))),V_A_2)) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_Id__on__empty,axiom,
% 202.84/202.72 ! [T_b] : c_Relation_OId__on(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_Image__Id__on,axiom,
% 202.84/202.72 ! [V_B_2,V_A_2,T_b] : hAPP(c_Relation_OImage(T_b,T_b,c_Relation_OId__on(T_b,V_A_2)),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_quotient__diff1,axiom,
% 202.84/202.72 ! [V_a_2,V_A_2,V_r_2,T_b] :
% 202.84/202.72 ( c_Fun_Oinj__on(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),T_b),c_Equiv__Relations_Oquotient(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_r_2),V_A_2)
% 202.84/202.72 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 202.84/202.72 => hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_r_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_r_2)) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_quotientI,axiom,
% 202.84/202.72 ! [V_r_2,V_A_2,V_x_2,T_b] :
% 202.84/202.72 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.84/202.72 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_Id__on__eqI,axiom,
% 202.84/202.72 ! [V_A_2,T_b,V_b_2,V_a_2] :
% 202.84/202.72 ( V_a_2 = V_b_2
% 202.84/202.72 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 202.84/202.72 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Relation_OId__on(T_b,V_A_2))) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_Id__on__iff,axiom,
% 202.84/202.72 ! [V_A_2,V_y_2,V_x_2,T_b] :
% 202.84/202.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Relation_OId__on(T_b,V_A_2)))
% 202.84/202.72 <=> ( V_x_2 = V_y_2
% 202.84/202.72 & hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_singleton__quotient,axiom,
% 202.84/202.72 ! [V_r_2,V_x_2,T_b] : hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_r_2) = hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_card__quotient__disjoint,axiom,
% 202.84/202.72 ! [V_r_2,V_A_2,T_b] :
% 202.84/202.72 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.84/202.72 => ( c_Fun_Oinj__on(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),T_b),c_Equiv__Relations_Oquotient(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_r_2),V_A_2)
% 202.84/202.72 => hAPP(c_Finite__Set_Ocard(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_equiv__class__nondisjoint,axiom,
% 202.84/202.72 ! [V_b_2,V_a_2,V_x_2,V_r_2,V_A_2,T_b] :
% 202.84/202.72 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 202.84/202.72 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))))
% 202.84/202.72 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_subset__equiv__class,axiom,
% 202.84/202.72 ! [V_a_2,V_b_2,V_r_2,V_A_2,T_b] :
% 202.84/202.72 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 202.84/202.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 202.84/202.72 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 202.84/202.72 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) ) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_quotientE,axiom,
% 202.84/202.72 ! [V_r_2,V_A_2,V_X_2,T_b] :
% 202.84/202.72 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 202.84/202.72 => ~ ! [B_x] :
% 202.84/202.72 ( V_X_2 = hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 202.84/202.72 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_equiv__intrel,axiom,
% 202.84/202.72 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) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_Union__quotient,axiom,
% 202.84/202.72 ! [V_r_2,V_A_2,T_b] :
% 202.84/202.72 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 202.84/202.72 => c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)) = V_A_2 ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_equiv__class__self,axiom,
% 202.84/202.72 ! [V_a_2,V_r_2,V_A_2,T_b] :
% 202.84/202.72 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 202.84/202.72 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 202.84/202.72 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_quotient__disj,axiom,
% 202.84/202.72 ! [V_Y_2,V_X_2,V_r_2,V_A_2,T_b] :
% 202.84/202.72 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 202.84/202.72 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 202.84/202.72 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 202.84/202.72 => ( V_X_2 = V_Y_2
% 202.84/202.72 | hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_Y_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_equiv__class__eq,axiom,
% 202.84/202.72 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_b] :
% 202.84/202.72 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 202.84/202.72 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 202.84/202.72 => hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_quotient__eq__iff,axiom,
% 202.84/202.72 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_b] :
% 202.84/202.72 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 202.84/202.72 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 202.84/202.72 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 202.84/202.72 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_X_2))
% 202.84/202.72 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_Y_2))
% 202.84/202.72 => ( V_X_2 = V_Y_2
% 202.84/202.72 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) ) ) ) ) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_quotient__eqI,axiom,
% 202.84/202.72 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_b] :
% 202.84/202.72 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 202.84/202.72 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 202.84/202.72 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 202.84/202.72 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_X_2))
% 202.84/202.72 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_Y_2))
% 202.84/202.72 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 202.84/202.72 => V_X_2 = V_Y_2 ) ) ) ) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_eq__equiv__class__iff,axiom,
% 202.84/202.72 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 202.84/202.72 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 202.84/202.72 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.84/202.72 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 202.84/202.72 => ( hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 202.84/202.72 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) ) ) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_eq__equiv__class,axiom,
% 202.84/202.72 ! [V_A_2,V_b_2,V_a_2,V_r_2,T_b] :
% 202.84/202.72 ( hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 202.84/202.72 => ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 202.84/202.72 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 202.84/202.72 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) ) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_equiv__class__eq__iff,axiom,
% 202.84/202.72 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 202.84/202.72 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 202.84/202.72 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 202.84/202.72 <=> ( hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 202.84/202.72 & hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.84/202.72 & hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_equiv__class__subset,axiom,
% 202.84/202.72 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_b] :
% 202.84/202.72 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 202.84/202.72 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 202.84/202.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_eq__equiv__class__iff2,axiom,
% 202.84/202.72 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 202.84/202.72 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 202.84/202.72 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.84/202.72 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 202.84/202.72 => ( hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_r_2) = hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_r_2)
% 202.84/202.72 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) ) ) ) ) ).
% 202.84/202.72
% 202.84/202.72 fof(fact_UN__equiv__class,axiom,
% 202.84/202.72 ! [V_a_2,V_f_2,T_c,V_r_2,V_A_2,T_b] :
% 202.84/202.72 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 202.84/202.72 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2)
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 202.84/202.73 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_f_2) = hAPP(V_f_2,V_a_2) ) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_UN__equiv__class2,axiom,
% 202.84/202.73 ! [V_a2_2,V_a1_2,V_f_2,T_d,V_r2_2,V_A2_2,T_c,V_r1_2,V_A1_2,T_b] :
% 202.84/202.73 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2)
% 202.84/202.73 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2)
% 202.84/202.73 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a1_2),V_A1_2))
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a2_2),V_A2_2))
% 202.84/202.73 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_d,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r1_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a1_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_c,V_r2_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a2_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))))),V_f_2)) = hAPP(hAPP(V_f_2,V_a1_2),V_a2_2) ) ) ) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_equivp__equiv,axiom,
% 202.84/202.73 ! [V_A_2,T_b] :
% 202.84/202.73 ( c_Equiv__Relations_Oequiv(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_A_2)
% 202.84/202.73 <=> c_Equiv__Relations_Oequivp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_A_2)) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_identity__equivp,axiom,
% 202.84/202.73 ! [T_b] : c_Equiv__Relations_Oequivp(T_b,c_fequal) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_equivp__def,axiom,
% 202.84/202.73 ! [V_R_2,T_b] :
% 202.84/202.73 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 202.84/202.73 <=> ! [B_x,B_y] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_y))
% 202.84/202.73 <=> hAPP(V_R_2,B_x) = hAPP(V_R_2,B_y) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_equivp__reflp,axiom,
% 202.84/202.73 ! [V_x_2,V_R_2,T_b] :
% 202.84/202.73 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 202.84/202.73 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_equivp__symp,axiom,
% 202.84/202.73 ! [V_y_2,V_x_2,V_R_2,T_b] :
% 202.84/202.73 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 202.84/202.73 => hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_equivp__transp,axiom,
% 202.84/202.73 ! [V_z_2,V_y_2,V_x_2,V_R_2,T_b] :
% 202.84/202.73 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_z_2))
% 202.84/202.73 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_z_2)) ) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_congruent2__implies__congruent,axiom,
% 202.84/202.73 ! [V_a_2,V_f_2,V_r2_2,T_d,T_c,V_r1_2,V_A_2,T_b] :
% 202.84/202.73 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r1_2)
% 202.84/202.73 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2)
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 202.84/202.73 => c_Equiv__Relations_Ocongruent(T_c,T_d,V_r2_2,hAPP(V_f_2,V_a_2)) ) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_congruent__def,axiom,
% 202.84/202.73 ! [V_f_2,V_r_2,T_c,T_b] :
% 202.84/202.73 ( c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2)
% 202.84/202.73 <=> ! [B_x] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),V_r_2))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_c,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2))),V_f_2)),B_x)) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_congruent2D,axiom,
% 202.84/202.73 ! [V_z2_2,V_y2_2,V_z1_2,V_y1_2,V_f_2,V_r2_2,V_r1_2,T_d,T_c,T_b] :
% 202.84/202.73 ( c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2)
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y1_2),V_z1_2)),V_r1_2))
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_y2_2),V_z2_2)),V_r2_2))
% 202.84/202.73 => hAPP(hAPP(V_f_2,V_y1_2),V_y2_2) = hAPP(hAPP(V_f_2,V_z1_2),V_z2_2) ) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_congruentD,axiom,
% 202.84/202.73 ! [V_z_2,V_y_2,V_f_2,V_r_2,T_c,T_b] :
% 202.84/202.73 ( c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2)
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_z_2)),V_r_2))
% 202.84/202.73 => hAPP(V_f_2,V_y_2) = hAPP(V_f_2,V_z_2) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_congruent2__implies__congruent__UN,axiom,
% 202.84/202.73 ! [V_a_2,V_f_2,T_d,V_r2_2,V_A2_2,T_c,V_r1_2,V_A1_2,T_b] :
% 202.84/202.73 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2)
% 202.84/202.73 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2)
% 202.84/202.73 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A2_2))
% 202.84/202.73 => c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_d,tc_HOL_Obool),V_r1_2,hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_c,V_r2_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))))),V_f_2)) ) ) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_UN__equiv__class__inject,axiom,
% 202.84/202.73 ! [V_Y_2,V_X_2,V_f_2,T_c,V_r_2,V_A_2,T_b] :
% 202.84/202.73 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 202.84/202.73 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2)
% 202.84/202.73 => ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_X_2),V_f_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_Y_2),V_f_2)
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 202.84/202.73 => ( ! [B_x] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 202.84/202.73 => ! [B_y] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2))
% 202.84/202.73 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y)
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_r_2)) ) ) )
% 202.84/202.73 => V_X_2 = V_Y_2 ) ) ) ) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_UN__equiv__class__type2,axiom,
% 202.84/202.73 ! [V_B_2,V_X2_2,V_X1_2,V_f_2,T_d,V_r2_2,V_A2_2,T_c,V_r1_2,V_A1_2,T_b] :
% 202.84/202.73 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2)
% 202.84/202.73 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2)
% 202.84/202.73 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X1_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A1_2),V_r1_2)))
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),V_X2_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_c),V_A2_2),V_r2_2)))
% 202.84/202.73 => ( ! [B_x1] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x1),V_A1_2))
% 202.84/202.73 => ! [B_x2] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x2),V_A2_2))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(V_f_2,B_x1),B_x2)),V_B_2)) ) )
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_d,tc_HOL_Obool)),V_X1_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),V_X2_2)),V_f_2))),V_B_2)) ) ) ) ) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_UN__equiv__class__type,axiom,
% 202.84/202.73 ! [V_B_2,V_X_2,V_f_2,T_c,V_r_2,V_A_2,T_b] :
% 202.84/202.73 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 202.84/202.73 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2)
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 202.84/202.73 => ( ! [B_x] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_f_2,B_x)),V_B_2)) )
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_X_2),V_f_2)),V_B_2)) ) ) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Integ__def,axiom,
% 202.84/202.73 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) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_refl__on__def_H,axiom,
% 202.84/202.73 ! [V_r_2,V_A_2,T_b] :
% 202.84/202.73 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 202.84/202.73 <=> ( ! [B_x] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),V_r_2))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),B_x)) )
% 202.84/202.73 & ! [B_x] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) ) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Id__onE,axiom,
% 202.84/202.73 ! [V_A_2,V_c_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_c_2),c_Relation_OId__on(T_b,V_A_2)))
% 202.84/202.73 => ~ ! [B_x] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 202.84/202.73 => V_c_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_refl__on__Id__on,axiom,
% 202.84/202.73 ! [V_A_2,T_b] : c_Relation_Orefl__on(T_b,V_A_2,c_Relation_OId__on(T_b,V_A_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_refl__on__empty,axiom,
% 202.84/202.73 ! [T_b] : c_Relation_Orefl__on(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_refl__on__Un,axiom,
% 202.84/202.73 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_b] :
% 202.84/202.73 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 202.84/202.73 => ( c_Relation_Orefl__on(T_b,V_B_2,V_s_2)
% 202.84/202.73 => c_Relation_Orefl__on(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_refl__on__Int,axiom,
% 202.84/202.73 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_b] :
% 202.84/202.73 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 202.84/202.73 => ( c_Relation_Orefl__on(T_b,V_B_2,V_s_2)
% 202.84/202.73 => c_Relation_Orefl__on(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Rep__Integ,axiom,
% 202.84/202.73 ! [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)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_refl__onD2,axiom,
% 202.84/202.73 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 202.84/202.73 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_refl__onD1,axiom,
% 202.84/202.73 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 202.84/202.73 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_refl__onD,axiom,
% 202.84/202.73 ! [V_a_2,V_r_2,V_A_2,T_b] :
% 202.84/202.73 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_2)),V_r_2)) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_type__definition__Integ,axiom,
% 202.84/202.73 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) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_transfer__nat__int__sum__prod__cong_I1_J,axiom,
% 202.84/202.73 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_b] :
% 202.84/202.73 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 202.84/202.73 & class_Groups_Ocomm__monoid__mult(T_b) )
% 202.84/202.73 => ( V_A_2 = V_B_2
% 202.84/202.73 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 202.84/202.73 => ( ! [B_x] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 202.84/202.73 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) )
% 202.84/202.73 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),V_g_2),V_B_2) ) ) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_accp__acc__eq,axiom,
% 202.84/202.73 ! [V_x_2,V_r_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_r_2)),V_x_2))
% 202.84/202.73 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_acc__subset,axiom,
% 202.84/202.73 ! [V_R2_2,V_R1_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R1_2),V_R2_2))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Wellfounded_Oacc(T_b,V_R2_2)),c_Wellfounded_Oacc(T_b,V_R1_2))) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_acc__downward,axiom,
% 202.84/202.73 ! [V_a_2,V_r_2,V_b_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_acc_Osimps,axiom,
% 202.84/202.73 ! [V_r_2,V_a_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 202.84/202.73 <=> ! [B_x] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),V_a_2)),V_r_2))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_type__definition_OAbs__image,axiom,
% 202.84/202.73 ! [V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 202.84/202.73 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 202.84/202.73 => hAPP(c_Set_Oimage(T_c,T_b,V_Abs_2),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_type__definition_ORep__range,axiom,
% 202.84/202.73 ! [V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 202.84/202.73 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 202.84/202.73 => hAPP(c_Set_Oimage(T_b,T_c,V_Rep_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = V_A_2 ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_type__definition_OAbs__inject,axiom,
% 202.84/202.73 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 202.84/202.73 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2))
% 202.84/202.73 => ( hAPP(V_Abs_2,V_x_2) = hAPP(V_Abs_2,V_y_2)
% 202.84/202.73 <=> V_x_2 = V_y_2 ) ) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_type__definition_ORep__inject,axiom,
% 202.84/202.73 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 202.84/202.73 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 202.84/202.73 => ( hAPP(V_Rep_2,V_x_2) = hAPP(V_Rep_2,V_y_2)
% 202.84/202.73 <=> V_x_2 = V_y_2 ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_type__definition_ORep__inverse,axiom,
% 202.84/202.73 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 202.84/202.73 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 202.84/202.73 => hAPP(V_Abs_2,hAPP(V_Rep_2,V_x_2)) = V_x_2 ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_type__definition_ORep,axiom,
% 202.84/202.73 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 202.84/202.73 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_Rep_2,V_x_2)),V_A_2)) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_type__definition_OAbs__inverse,axiom,
% 202.84/202.73 ! [V_y_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 202.84/202.73 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2))
% 202.84/202.73 => hAPP(V_Rep_2,hAPP(V_Abs_2,V_y_2)) = V_y_2 ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_max__extp_Oequations,axiom,
% 202.84/202.73 ! [V_a2_2,V_a1_2,V_R_2,T_b] :
% 202.84/202.73 ( c_Wellfounded_Omax__extp(T_b,V_R_2,V_a1_2,V_a2_2)
% 202.84/202.73 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2))
% 202.84/202.73 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2))
% 202.84/202.73 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.84/202.73 & ! [B_x] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2))
% 202.84/202.73 => ? [B_xa] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2))
% 202.84/202.73 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_max__ext_Ointros,axiom,
% 202.84/202.73 ! [V_R_2,V_Y_2,V_X_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2))
% 202.84/202.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Y_2))
% 202.84/202.73 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.84/202.73 => ( ! [B_x] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_X_2))
% 202.84/202.73 => ? [B_xa] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_Y_2))
% 202.84/202.73 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_xa)),V_R_2)) ) )
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_Y_2)),c_Wellfounded_Omax__ext(T_b,V_R_2))) ) ) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Nitpick_Ozero__frac__def,axiom,
% 202.84/202.73 ! [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))) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Nitpick_Oone__frac__def,axiom,
% 202.84/202.73 ! [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))) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Nitpick_Onumber__of__frac__def,axiom,
% 202.84/202.73 ! [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))) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Nitpick_Ofrac__def,axiom,
% 202.84/202.73 ! [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)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_the__elem__def,axiom,
% 202.84/202.73 ! [V_X_2,T_b] : c_Set_Othe__elem(T_b,V_X_2) = c_HOL_OThe(T_b,hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),hAPP(c_fequal,V_X_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Rep__Integ__induct,axiom,
% 202.84/202.73 ! [V_P_2,V_y_2] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg))
% 202.84/202.73 => ( ! [B_x] : hBOOL(hAPP(V_P_2,hAPP(c_Int_ORep__Integ,B_x)))
% 202.84/202.73 => hBOOL(hAPP(V_P_2,V_y_2)) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Rep__Integ__cases,axiom,
% 202.84/202.73 ! [V_y_2] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg))
% 202.84/202.73 => ~ ! [B_x] : V_y_2 != hAPP(c_Int_ORep__Integ,B_x) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_split__paired__The,axiom,
% 202.84/202.73 ! [V_P_2,T_c,T_b] : c_HOL_OThe(tc_prod(T_b,T_c),V_P_2) = c_HOL_OThe(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,T_c),V_P_2)),c_Product__Type_OPair(T_b,T_c)))) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_The__split__eq,axiom,
% 202.84/202.73 ! [V_y_2,V_x_2,T_c,T_b] : c_HOL_OThe(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(c_fequal,V_x_2)))),hAPP(c_fequal,V_y_2)))) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_the__inv__into__def,axiom,
% 202.84/202.73 ! [V_x_2,V_f_2,V_A_2,T_c,T_b] : hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_x_2) = c_HOL_OThe(T_b,hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2)),V_x_2))) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_fold__def,axiom,
% 202.84/202.73 ! [V_A_2,V_z_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_b,V_f_2),V_z_2),V_A_2) = c_HOL_OThe(T_b,c_Finite__Set_Ofold__graph(T_c,T_b,V_f_2,V_z_2,V_A_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_divmod__nat__def,axiom,
% 202.84/202.73 ! [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)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_fold1__def,axiom,
% 202.84/202.73 ! [V_A_2,V_f_2,T_b] : hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) = c_HOL_OThe(T_b,c_Finite__Set_Ofold1Set(T_b,V_f_2,V_A_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_The__split,axiom,
% 202.84/202.73 ! [V_P_2,T_c,T_b] : c_HOL_OThe(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_P_2)) = c_HOL_OThe(tc_prod(T_b,T_c),hAPP(hAPP(c_COMBS(tc_prod(T_b,T_c),T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_HOL_Obool),tc_prod(T_b,T_c)),V_P_2),c_Product__Type_Ofst(T_b,T_c))),c_Product__Type_Osnd(T_b,T_c))) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_flat__lub__def,axiom,
% 202.84/202.73 ! [V_b_2,V_A_2,T_b] :
% 202.84/202.73 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))
% 202.84/202.73 => c_Partial__Function_Oflat__lub(T_b,V_b_2,V_A_2) = V_b_2 )
% 202.84/202.73 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))
% 202.84/202.73 => c_Partial__Function_Oflat__lub(T_b,V_b_2,V_A_2) = c_HOL_OThe(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_inj__vimage__singleton,axiom,
% 202.84/202.73 ! [V_a_2,V_f_2,T_c,T_b] :
% 202.84/202.73 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))),hAPP(hAPP(c_Set_Oinsert(T_b),c_HOL_OThe(T_b,hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2)),V_a_2))),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_inj__on__INTER,axiom,
% 202.84/202.73 ! [V_A_2,V_f_2,T_d,T_c,T_b,V_I_2] :
% 202.84/202.73 ( V_I_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.84/202.73 => ( ! [B_i] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_I_2))
% 202.84/202.73 => c_Fun_Oinj__on(T_c,T_d,V_f_2,hAPP(V_A_2,B_i)) )
% 202.84/202.73 => c_Fun_Oinj__on(T_c,T_d,V_f_2,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2)) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_vimageI,axiom,
% 202.84/202.73 ! [T_c,V_B_2,T_b,V_b_2,V_a_2,V_f_2] :
% 202.84/202.73 ( hAPP(V_f_2,V_a_2) = V_b_2
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_B_2))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_B_2))) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_vimage__eq,axiom,
% 202.84/202.73 ! [V_B_2,V_f_2,T_c,V_a_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)))
% 202.84/202.73 <=> hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),V_B_2)) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_vimageD,axiom,
% 202.84/202.73 ! [V_A_2,V_f_2,T_c,V_a_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2)))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),V_A_2)) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_vimageI2,axiom,
% 202.84/202.73 ! [T_c,V_A_2,V_a_2,V_f_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_a_2)),V_A_2))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2))) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_vimage__Diff,axiom,
% 202.84/202.73 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_vimage__UN,axiom,
% 202.84/202.73 ! [V_B_2,V_A_2,T_d,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Set_Ovimage(T_b,T_c,V_f_2)),V_B_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_vimage__ident,axiom,
% 202.84/202.73 ! [V_Y_2,T_b] : hAPP(c_Set_Ovimage(T_b,T_b,c_COMBI(T_b)),V_Y_2) = V_Y_2 ).
% 202.84/202.73
% 202.84/202.73 fof(fact_vimage__compose,axiom,
% 202.84/202.73 ! [V_x_2,V_f_2,V_g_2,T_d,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_g_2),V_f_2)),V_x_2) = hAPP(c_Set_Ovimage(T_b,T_d,V_f_2),hAPP(c_Set_Ovimage(T_d,T_c,V_g_2),V_x_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_vimage__INT,axiom,
% 202.84/202.73 ! [V_B_2,V_A_2,T_d,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Set_Ovimage(T_b,T_c,V_f_2)),V_B_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_vimage__mono,axiom,
% 202.84/202.73 ! [V_f_2,T_c,V_B_2,V_A_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_B_2))) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_vimage__Int,axiom,
% 202.84/202.73 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_vimage__code,axiom,
% 202.84/202.73 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2),V_x_2))
% 202.84/202.73 <=> hBOOL(hAPP(V_A_2,hAPP(V_f_2,V_x_2))) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_vimage__Compl,axiom,
% 202.84/202.73 ! [V_A_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_vimage__Un,axiom,
% 202.84/202.73 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_vimage__empty,axiom,
% 202.84/202.73 ! [V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_vimage__UNIV,axiom,
% 202.84/202.73 ! [V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_image__vimage__subset,axiom,
% 202.84/202.73 ! [V_A_2,V_f_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2))),V_A_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_surj__image__vimage__eq,axiom,
% 202.84/202.73 ! [V_A_2,V_f_2,T_b,T_c] :
% 202.84/202.73 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 202.84/202.73 => hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2)) = V_A_2 ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_vimage__Union,axiom,
% 202.84/202.73 ! [V_A_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Set_Ovimage(T_b,T_c,V_f_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_vimage__singleton__eq,axiom,
% 202.84/202.73 ! [V_b_2,V_f_2,T_c,V_a_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))))
% 202.84/202.73 <=> hAPP(V_f_2,V_a_2) = V_b_2 ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_vimage__insert,axiom,
% 202.84/202.73 ! [V_B_2,V_a_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_finite__vimageD,axiom,
% 202.84/202.73 ! [V_F_2,V_h_2,T_c,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Ovimage(T_b,T_c,V_h_2),V_F_2)))
% 202.84/202.73 => ( hAPP(c_Set_Oimage(T_b,T_c,V_h_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))
% 202.84/202.73 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_F_2)) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_vimage__subsetD,axiom,
% 202.84/202.73 ! [V_A_2,V_B_2,V_f_2,T_b,T_c] :
% 202.84/202.73 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_B_2)),V_A_2))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_image__vimage__eq,axiom,
% 202.84/202.73 ! [V_A_2,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_finite__vimageI,axiom,
% 202.84/202.73 ! [V_h_2,T_c,V_F_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 202.84/202.73 => ( c_Fun_Oinj__on(T_c,T_b,V_h_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 202.84/202.73 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Ovimage(T_c,T_b,V_h_2),V_F_2))) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_inj__vimage__image__eq,axiom,
% 202.84/202.73 ! [V_A_2,V_f_2,T_c,T_b] :
% 202.84/202.73 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 202.84/202.73 => hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = V_A_2 ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_vimage__const,axiom,
% 202.84/202.73 ! [T_c,V_A_2,V_c_2,T_b] :
% 202.84/202.73 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 202.84/202.73 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(c_COMBK(T_b,T_c),V_c_2)),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) )
% 202.84/202.73 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 202.84/202.73 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(c_COMBK(T_b,T_c),V_c_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_vimage__eq__UN,axiom,
% 202.84/202.73 ! [V_B_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Set_Ovimage(T_b,T_c,V_f_2)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),c_Set_Oinsert(T_c)),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_vimage__subsetI,axiom,
% 202.84/202.73 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 202.84/202.73 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)),V_A_2)) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_vimage__if,axiom,
% 202.84/202.73 ! [V_B_2,T_c,V_d_2,V_A_2,V_c_2,T_b] :
% 202.84/202.73 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 202.84/202.73 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 202.84/202.73 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))),V_c_2)),V_d_2)),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) )
% 202.84/202.73 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 202.84/202.73 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))),V_c_2)),V_d_2)),V_A_2) = V_B_2 ) ) )
% 202.84/202.73 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 202.84/202.73 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 202.84/202.73 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))),V_c_2)),V_d_2)),V_A_2) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_B_2) )
% 202.84/202.73 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 202.84/202.73 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))),V_c_2)),V_d_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_image__split__eq__Sigma,axiom,
% 202.84/202.73 ! [V_A_2,V_g_2,V_f_2,T_c,T_b,T_d] : hAPP(c_Set_Oimage(T_d,tc_prod(T_b,T_c),hAPP(hAPP(c_COMBS(T_d,T_c,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_prod(T_b,T_c)),T_d),c_Product__Type_OPair(T_b,T_c)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_Set_Oimage(T_d,T_b,V_f_2),V_A_2)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_Oimage(T_d,T_c,V_g_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_d,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool),T_b),c_Set_Ovimage(T_d,T_b,V_f_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),V_A_2))) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_card__less__Suc,axiom,
% 202.84/202.73 ! [V_i_2,V_M_2] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 202.84/202.73 => 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))))) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_card__less,axiom,
% 202.84/202.73 ! [V_i_2,V_M_2] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 202.84/202.73 => 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) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_CollectI,axiom,
% 202.84/202.73 ! [T_b,V_a_2,V_P_2] :
% 202.84/202.73 ( hBOOL(hAPP(V_P_2,V_a_2))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_P_2))) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_finite__Collect__conjI,axiom,
% 202.84/202.73 ! [V_Q_2,V_P_2,T_b] :
% 202.84/202.73 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_P_2)))
% 202.84/202.73 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Q_2))) )
% 202.84/202.73 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_P_2)),V_Q_2)))) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_finite__Collect__less__nat,axiom,
% 202.84/202.73 ! [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)))) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_finite__Collect__le__nat,axiom,
% 202.84/202.73 ! [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)))) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_SigmaI,axiom,
% 202.84/202.73 ! [V_B_2,V_b_2,T_c,V_A_2,V_a_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2)))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2))) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_vimage__Collect__eq,axiom,
% 202.84/202.73 ! [V_P_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(c_Set_OCollect(T_c),V_P_2)) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(T_c,tc_HOL_Obool,T_b),V_P_2),V_f_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_UNIV__def,axiom,
% 202.84/202.73 ! [T_b] : c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_b),hAPP(c_COMBK(tc_HOL_Obool,T_b),c_fTrue)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Sigma__Union,axiom,
% 202.84/202.73 ! [V_B_2,V_X_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_X_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),c_Product__Type_OSigma(T_b,T_c)),V_B_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_empty__Collect__eq,axiom,
% 202.84/202.73 ! [V_P_2,T_b] :
% 202.84/202.73 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_b),V_P_2)
% 202.84/202.73 <=> ! [B_x] : ~ hBOOL(hAPP(V_P_2,B_x)) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Collect__empty__eq,axiom,
% 202.84/202.73 ! [V_P_2,T_b] :
% 202.84/202.73 ( hAPP(c_Set_OCollect(T_b),V_P_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.84/202.73 <=> ! [B_x] : ~ hBOOL(hAPP(V_P_2,B_x)) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_empty__def,axiom,
% 202.84/202.73 ! [T_b] : c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_b),hAPP(c_COMBK(tc_HOL_Obool,T_b),c_fFalse)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Collect__disj__eq,axiom,
% 202.84/202.73 ! [V_Q_2,V_P_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),V_P_2)),V_Q_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_P_2)),hAPP(c_Set_OCollect(T_b),V_Q_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Collect__def,axiom,
% 202.84/202.73 ! [V_P_2,T_b] : hAPP(c_Set_OCollect(T_b),V_P_2) = V_P_2 ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Collect__conj__eq,axiom,
% 202.84/202.73 ! [V_Q_2,V_P_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_P_2)),V_Q_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_P_2)),hAPP(c_Set_OCollect(T_b),V_Q_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Collect__neg__eq,axiom,
% 202.84/202.73 ! [V_P_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_P_2)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_P_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_finite__Collect__disjI,axiom,
% 202.84/202.73 ! [V_Q_2,V_P_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),V_P_2)),V_Q_2))))
% 202.84/202.73 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_P_2)))
% 202.84/202.73 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Q_2))) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Sigma__empty1,axiom,
% 202.84/202.73 ! [V_B_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_SetCompr__Sigma__eq,axiom,
% 202.84/202.73 ! [V_Q_2,V_P_2,T_c,T_b] : hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_P_2))),V_Q_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_Set_OCollect(T_b),V_P_2)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_OCollect(T_c)),V_Q_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Collect__split,axiom,
% 202.84/202.73 ! [V_Q_2,V_P_2,T_c,T_b] : hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_P_2))),V_Q_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_Set_OCollect(T_b),V_P_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_OCollect(T_c),V_Q_2))) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_insert__Collect,axiom,
% 202.84/202.73 ! [V_P_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_P_2)) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2)))),V_P_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Sigma__Diff__distrib1,axiom,
% 202.84/202.73 ! [V_C_2,V_J_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_J_2)),V_C_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_C_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_J_2),V_C_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Times__Diff__distrib1,axiom,
% 202.84/202.73 ! [V_C_2,V_B_2,V_A_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_B_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Sigma__Diff__distrib2,axiom,
% 202.84/202.73 ! [V_B_2,V_A_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_B_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_CollectE,axiom,
% 202.84/202.73 ! [V_P_2,V_a_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_P_2)))
% 202.84/202.73 => hBOOL(hAPP(V_P_2,V_a_2)) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_CollectD,axiom,
% 202.84/202.73 ! [V_P_2,V_a_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_P_2)))
% 202.84/202.73 => hBOOL(hAPP(V_P_2,V_a_2)) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_mem__Collect__eq,axiom,
% 202.84/202.73 ! [V_P_2,V_a_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_P_2)))
% 202.84/202.73 <=> hBOOL(hAPP(V_P_2,V_a_2)) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Collect__mem__eq,axiom,
% 202.84/202.73 ! [V_A_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)) = V_A_2 ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Times__eq__cancel2,axiom,
% 202.84/202.73 ! [V_B_2,V_A_2,T_c,V_C_2,V_x_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_C_2))
% 202.84/202.73 => ( hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_C_2)) = hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_B_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_C_2))
% 202.84/202.73 <=> V_A_2 = V_B_2 ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_card__cartesian__product,axiom,
% 202.84/202.73 ! [V_B_2,V_A_2,T_c,T_b] : hAPP(c_Finite__Set_Ocard(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_c),V_B_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_setsum__cartesian__product,axiom,
% 202.84/202.73 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] :
% 202.84/202.73 ( class_Groups_Ocomm__monoid__add(T_b)
% 202.84/202.73 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),tc_fun(tc_fun(T_d,tc_HOL_Obool),T_b),T_c),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_b)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(T_c,T_d),T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_A_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_c),V_B_2))) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Times__empty,axiom,
% 202.84/202.73 ! [V_B_2,V_A_2,T_c,T_b] :
% 202.84/202.73 ( hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))
% 202.84/202.73 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.84/202.73 | V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Sigma__empty2,axiom,
% 202.84/202.73 ! [V_A_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Compl__Times__UNIV2,axiom,
% 202.84/202.73 ! [V_A_2,T_c,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Compl__Times__UNIV1,axiom,
% 202.84/202.73 ! [V_A_2,T_c,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_A_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_A_2))) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_setprod__cartesian__product,axiom,
% 202.84/202.73 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] :
% 202.84/202.73 ( class_Groups_Ocomm__monoid__mult(T_b)
% 202.84/202.73 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),tc_fun(tc_fun(T_d,tc_HOL_Obool),T_b),T_c),c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_d,T_b)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(T_c,T_d),T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_A_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_c),V_B_2))) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_insert__compr,axiom,
% 202.84/202.73 ! [V_B_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_insert__compr__raw,axiom,
% 202.84/202.73 ! [V_B_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Un__def,axiom,
% 202.84/202.73 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Int__Collect,axiom,
% 202.84/202.73 ! [V_P_2,V_A_2,V_x_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_b),V_P_2))))
% 202.84/202.73 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.84/202.73 & hBOOL(hAPP(V_P_2,V_x_2)) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Int__def,axiom,
% 202.84/202.73 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Sigma__Un__distrib2,axiom,
% 202.84/202.73 ! [V_B_2,V_A_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_B_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Times__Un__distrib1,axiom,
% 202.84/202.73 ! [V_C_2,V_B_2,V_A_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_B_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Sigma__Un__distrib1,axiom,
% 202.84/202.73 ! [V_C_2,V_J_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_J_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_C_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_J_2),V_C_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_singleton__conv2,axiom,
% 202.84/202.73 ! [V_a_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(c_fequal,V_a_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_singleton__conv,axiom,
% 202.84/202.73 ! [V_a_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Collect__conv__if2,axiom,
% 202.84/202.73 ! [T_b,V_a_2,V_P_2] :
% 202.84/202.73 ( ( hBOOL(hAPP(V_P_2,V_a_2))
% 202.84/202.73 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(c_fequal,V_a_2))),V_P_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) )
% 202.84/202.73 & ( ~ hBOOL(hAPP(V_P_2,V_a_2))
% 202.84/202.73 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(c_fequal,V_a_2))),V_P_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Collect__conv__if,axiom,
% 202.84/202.73 ! [T_b,V_a_2,V_P_2] :
% 202.84/202.73 ( ( hBOOL(hAPP(V_P_2,V_a_2))
% 202.84/202.73 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_P_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) )
% 202.84/202.73 & ( ~ hBOOL(hAPP(V_P_2,V_a_2))
% 202.84/202.73 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_P_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_set__diff__eq,axiom,
% 202.84/202.73 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2)))) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_finite__Collect__not,axiom,
% 202.84/202.73 ! [V_P_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_P_2)))
% 202.84/202.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_P_2))))
% 202.84/202.73 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_insert__def,axiom,
% 202.84/202.73 ! [V_B_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_B_2) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_swap__product,axiom,
% 202.84/202.73 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(c_Set_Oimage(tc_prod(T_c,T_b),tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,tc_prod(T_b,T_c)),hAPP(c_COMBC(T_b,T_c,tc_prod(T_b,T_c)),c_Product__Type_OPair(T_b,T_c)))),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_B_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_B_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_A_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_finite__cartesian__product,axiom,
% 202.84/202.73 ! [V_B_2,T_c,V_A_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.84/202.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 202.84/202.73 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2)))) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Compl__eq,axiom,
% 202.84/202.73 ! [V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_vimage__def,axiom,
% 202.84/202.73 ! [V_B_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(T_c)),V_f_2)),V_B_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_equiv__type,axiom,
% 202.84/202.73 ! [V_r_2,V_A_2,T_b] :
% 202.84/202.73 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2)))) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Collect__ball__eq,axiom,
% 202.84/202.73 ! [V_P_2,V_A_2,T_c,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OAll(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fimplies),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2)))),V_P_2))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Set_OCollect(T_b)),hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),V_P_2))) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Sigma__Int__distrib1,axiom,
% 202.84/202.73 ! [V_C_2,V_J_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_J_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_C_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_J_2),V_C_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Times__Int__distrib1,axiom,
% 202.84/202.73 ! [V_C_2,V_B_2,V_A_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_B_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Sigma__Int__distrib2,axiom,
% 202.84/202.73 ! [V_B_2,V_A_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_B_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Collect__imp__eq,axiom,
% 202.84/202.73 ! [V_Q_2,V_P_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fimplies),V_P_2)),V_Q_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_P_2))),hAPP(c_Set_OCollect(T_b),V_Q_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Inter__eq,axiom,
% 202.84/202.73 ! [V_A_2,T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OAll(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),T_b),hAPP(c_COMBS(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_fimplies),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_b,tc_HOL_Obool))),V_A_2)))),c_member(T_b)))) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Id__on__subset__Times,axiom,
% 202.84/202.73 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Relation_OId__on(T_b,V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2)))) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_finite__M__bounded__by__nat,axiom,
% 202.84/202.73 ! [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))))) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_UNIV__Times__UNIV,axiom,
% 202.84/202.73 ! [T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_mem__Sigma__iff,axiom,
% 202.84/202.73 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)))
% 202.84/202.73 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 202.84/202.73 & hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_SigmaD1,axiom,
% 202.84/202.73 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_SigmaD2,axiom,
% 202.84/202.73 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_SigmaE2,axiom,
% 202.84/202.73 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)))
% 202.84/202.73 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 202.84/202.73 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_card__cartesian__product__singleton,axiom,
% 202.84/202.73 ! [V_A_2,V_x_2,T_c,T_b] : hAPP(c_Finite__Set_Ocard(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_A_2))) = hAPP(c_Finite__Set_Ocard(T_c),V_A_2) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Times__subset__cancel2,axiom,
% 202.84/202.73 ! [V_B_2,V_A_2,T_c,V_C_2,V_x_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_C_2))
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_C_2))),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_B_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_C_2))))
% 202.84/202.73 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Image__subset,axiom,
% 202.84/202.73 ! [V_C_2,V_B_2,V_A_2,V_r_2,T_c,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_c,V_r_2),V_C_2)),V_B_2)) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_setsum__setsum__restrict,axiom,
% 202.84/202.73 ! [V_R_2,V_f_2,V_T_2,T_c,V_S_2,T_b,T_d] :
% 202.84/202.73 ( class_Groups_Ocomm__monoid__add(T_d)
% 202.84/202.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 202.84/202.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2))
% 202.84/202.73 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),T_d),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_d),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_d),T_b),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d)),V_f_2)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_OCollect(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_T_2)))),V_R_2)))),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),hAPP(hAPP(c_COMBS(T_c,tc_fun(T_b,tc_HOL_Obool),T_d),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_d),tc_fun(tc_fun(T_b,tc_HOL_Obool),T_d),T_c),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d)),hAPP(c_COMBC(T_b,T_c,T_d),V_f_2))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Set_OCollect(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2)))),hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),V_R_2))))),V_T_2) ) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_finite__cartesian__productD1,axiom,
% 202.84/202.73 ! [V_B_2,V_A_2,T_c,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))))
% 202.84/202.73 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 202.84/202.73 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_finite__cartesian__productD2,axiom,
% 202.84/202.73 ! [V_B_2,V_A_2,T_c,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))))
% 202.84/202.73 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.84/202.73 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_INTER__def,axiom,
% 202.84/202.73 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OAll(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fimplies),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c)),c_member(T_b))),V_B_2)))) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_if__image__distrib,axiom,
% 202.84/202.73 ! [V_S_2,V_g_2,V_f_2,V_P_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),V_P_2)),V_f_2)),V_g_2)),V_S_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_S_2),hAPP(c_Set_OCollect(T_c),V_P_2)))),hAPP(c_Set_Oimage(T_c,T_b,V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_S_2),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c),c_fNot),V_P_2))))) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_fst__image__times,axiom,
% 202.84/202.73 ! [V_A_2,T_c,T_b,V_B_2] :
% 202.84/202.73 ( ( V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.84/202.73 => hAPP(c_Set_Oimage(tc_prod(T_c,T_b),T_c,c_Product__Type_Ofst(T_c,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_B_2))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 202.84/202.73 & ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.84/202.73 => hAPP(c_Set_Oimage(tc_prod(T_c,T_b),T_c,c_Product__Type_Ofst(T_c,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_B_2))) = V_A_2 ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_snd__image__times,axiom,
% 202.84/202.73 ! [V_B_2,T_c,T_b,V_A_2] :
% 202.84/202.73 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.84/202.73 => hAPP(c_Set_Oimage(tc_prod(T_b,T_c),T_c,c_Product__Type_Osnd(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 202.84/202.73 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.84/202.73 => hAPP(c_Set_Oimage(tc_prod(T_b,T_c),T_c,c_Product__Type_Osnd(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))) = V_B_2 ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_nat__seg__image__imp__finite,axiom,
% 202.84/202.73 ! [V_n_2,V_f_2,T_b,V_A_2] :
% 202.84/202.73 ( V_A_2 = hAPP(c_Set_Oimage(tc_Nat_Onat,T_b,V_f_2),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),V_n_2)))
% 202.84/202.73 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_setsum__restrict__set_H,axiom,
% 202.84/202.73 ! [V_B_2,V_f_2,V_A_2,T_b,T_c] :
% 202.84/202.73 ( class_Groups_Ocomm__monoid__add(T_c)
% 202.84/202.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.84/202.73 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2)))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))),V_f_2)),c_Groups_Ozero__class_Ozero(T_c))),V_A_2) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_refl__on__def,axiom,
% 202.84/202.73 ! [V_r_2,V_A_2,T_b] :
% 202.84/202.73 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 202.84/202.73 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2))))
% 202.84/202.73 & ! [B_x] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) ) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_insert__times__insert,axiom,
% 202.84/202.73 ! [V_B_2,V_b_2,V_A_2,V_a_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(hAPP(c_Set_Oinsert(T_c),V_b_2),V_B_2))) = hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(hAPP(c_Set_Oinsert(T_c),V_b_2),V_B_2)))),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2)))) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_setsum__image__gen,axiom,
% 202.84/202.73 ! [V_f_2,T_d,V_g_2,V_S_2,T_b,T_c] :
% 202.84/202.73 ( class_Groups_Ocomm__monoid__add(T_c)
% 202.84/202.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 202.84/202.73 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),T_c,T_d),hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Set_OCollect(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2)))),hAPP(c_COMBC(T_b,T_d,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_d,tc_HOL_Obool),T_b),c_fequal),V_f_2)))))),hAPP(c_Set_Oimage(T_b,T_d,V_f_2),V_S_2)) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_finite__equiv__class,axiom,
% 202.84/202.73 ! [V_X_2,V_r_2,V_A_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2))))
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 202.84/202.73 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2)) ) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_vimage__Times,axiom,
% 202.84/202.73 ! [V_B_2,V_A_2,V_f_2,T_d,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,tc_prod(T_c,T_d),V_f_2),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_A_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_c),V_B_2))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,hAPP(c_Fun_Ocomp(tc_prod(T_c,T_d),T_c,T_b,c_Product__Type_Ofst(T_c,T_d)),V_f_2)),V_A_2)),hAPP(c_Set_Ovimage(T_b,T_d,hAPP(c_Fun_Ocomp(tc_prod(T_c,T_d),T_d,T_b,c_Product__Type_Osnd(T_c,T_d)),V_f_2)),V_B_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_UN__Times__distrib,axiom,
% 202.84/202.73 ! [V_F_2,V_E_2,V_B_2,V_A_2,T_c,T_b,T_e,T_d] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_prod(T_d,T_e),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_d,T_e),V_A_2),hAPP(c_COMBK(tc_fun(T_e,tc_HOL_Obool),T_d),V_B_2))),hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_e,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),tc_fun(T_e,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),tc_fun(tc_fun(T_e,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),tc_fun(T_e,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),T_d),c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),T_e)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),T_d),c_Product__Type_OSigma(T_b,T_c)),V_E_2))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),T_e),c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b)),V_F_2)))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_E_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_F_2))) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Sigma__def,axiom,
% 202.84/202.73 ! [V_B_2,V_A_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),T_b),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),V_B_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),T_c),c_Set_Oinsert(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))))) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Sup__Inf,axiom,
% 202.84/202.73 ! [V_A_2,T_b] :
% 202.84/202.73 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 202.84/202.73 => c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2) = c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OAll(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fimplies),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(T_b)))))) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Inf__Sup,axiom,
% 202.84/202.73 ! [V_A_2,T_b] :
% 202.84/202.73 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 202.84/202.73 => c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2) = c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OAll(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fimplies),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),c_Orderings_Oord__class_Oless__eq(T_b))))) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_finite__quotient,axiom,
% 202.84/202.73 ! [V_r_2,V_A_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2))))
% 202.84/202.73 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Image__singleton,axiom,
% 202.84/202.73 ! [V_a_2,V_r_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_prod(T_c,T_b),tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_c,T_b))),hAPP(c_Product__Type_OPair(T_c,T_b),V_a_2))),V_r_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_setsum__cases,axiom,
% 202.84/202.73 ! [V_g_2,V_f_2,V_P_2,V_A_2,T_b,T_c] :
% 202.84/202.73 ( class_Groups_Ocomm__monoid__add(T_c)
% 202.84/202.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.84/202.73 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),V_P_2)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_b),V_P_2)))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_P_2))))) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_card__less__Suc2,axiom,
% 202.84/202.73 ! [V_i_2,V_M_2] :
% 202.84/202.73 ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 202.84/202.73 => 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))))) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Ex__inj__on__UNION__Sigma,axiom,
% 202.84/202.73 ! [V_A_2,V_I_2,T_c,T_b] :
% 202.84/202.73 ? [B_f] :
% 202.84/202.73 ( c_Fun_Oinj__on(T_b,tc_prod(T_c,T_b),B_f,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2))
% 202.84/202.73 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,tc_prod(T_c,T_b),B_f),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2))),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_I_2),V_A_2))) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_refl__onI,axiom,
% 202.84/202.73 ! [V_A_2,V_r_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2))))
% 202.84/202.73 => ( ! [B_x] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) )
% 202.84/202.73 => c_Relation_Orefl__on(T_b,V_A_2,V_r_2) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_fold__image__Sigma,axiom,
% 202.84/202.73 ! [V_g_2,V_B_2,T_c,V_A_2,T_b,T_d] :
% 202.84/202.73 ( class_Groups_Ocomm__monoid__mult(T_d)
% 202.84/202.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.84/202.73 => ( ! [B_x] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 202.84/202.73 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 202.84/202.73 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_b,c_Groups_Otimes__class_Otimes(T_d)),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),T_d),hAPP(hAPP(c_COMBC(T_b,T_d,tc_fun(tc_fun(T_c,tc_HOL_Obool),T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_d),tc_fun(T_d,tc_fun(tc_fun(T_c,tc_HOL_Obool),T_d)),T_b),c_Finite__Set_Ofold__image(T_d,T_c,c_Groups_Otimes__class_Otimes(T_d))),V_g_2)),c_Groups_Oone__class_Oone(T_d))),V_B_2)),c_Groups_Oone__class_Oone(T_d)),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,tc_prod(T_b,T_c),c_Groups_Otimes__class_Otimes(T_d)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_g_2)),c_Groups_Oone__class_Oone(T_d)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)) ) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_finite__Collect__subsets,axiom,
% 202.84/202.73 ! [V_A_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.84/202.73 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),V_A_2)))) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Pow__def,axiom,
% 202.84/202.73 ! [V_A_2,T_b] : hAPP(c_Set_OPow(T_b),V_A_2) = hAPP(c_Set_OCollect(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),V_A_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_inj__graph,axiom,
% 202.84/202.73 ! [T_c,T_b] : c_Fun_Oinj__on(tc_fun(T_b,T_c),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_b,T_c)),c_Set_OCollect(tc_prod(T_b,T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_b,T_c)),c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool)),hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBC(T_c,T_c,tc_HOL_Obool),c_fequal)))),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,T_c),tc_HOL_Obool))) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I4_J,axiom,
% 202.84/202.73 ! [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))) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_finite__psubset__def,axiom,
% 202.84/202.73 ! [T_b] : c_Wellfounded_Ofinite__psubset(T_b) = hAPP(c_Set_OCollect(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_COMBS(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_fconj)),c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool))))),c_Finite__Set_Ofinite(T_b)))) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_inv__image__def,axiom,
% 202.84/202.73 ! [V_f_2,V_r_2,T_b,T_c] : hAPP(hAPP(c_Relation_Oinv__image(T_c,T_b),V_r_2),V_f_2) = hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_c,T_c)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_c,T_c),tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_c,T_c)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_c),tc_fun(T_b,tc_prod(T_c,T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_c,T_c)),tc_fun(tc_fun(T_b,T_c),tc_fun(T_b,tc_prod(T_c,T_c))),T_b),c_COMBB(T_c,tc_prod(T_c,T_c),T_b)),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_prod(T_c,T_c)),T_b),c_Product__Type_OPair(T_c,T_c)),V_f_2))),V_f_2)))),V_r_2))) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I5_J,axiom,
% 202.84/202.73 ! [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)))) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I5_J,axiom,
% 202.84/202.73 ! [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)))) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Nitpick_Oprod__def,axiom,
% 202.84/202.73 ! [V_B_2,V_A_2,T_c,T_b] : c_Nitpick_Oprod(T_b,T_c,V_A_2,V_B_2) = hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2)))) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_int__ge__less__than__def,axiom,
% 202.84/202.73 ! [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)))) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_int__ge__less__than2__def,axiom,
% 202.84/202.73 ! [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)))) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_reflp__def,axiom,
% 202.84/202.73 ! [V_r_2,T_b] :
% 202.84/202.73 ( c_Predicate_Oreflp(T_b,V_r_2)
% 202.84/202.73 <=> c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),V_r_2))) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_setprod__Sigma,axiom,
% 202.84/202.73 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_d] :
% 202.84/202.73 ( class_Groups_Ocomm__monoid__mult(T_d)
% 202.84/202.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.84/202.73 => ( ! [B_x] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 202.84/202.73 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 202.84/202.73 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_d),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),T_d),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_d),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_d),T_b),c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(T_b,T_c),T_d),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_f_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)) ) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_setsum__Sigma,axiom,
% 202.84/202.73 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_d] :
% 202.84/202.73 ( class_Groups_Ocomm__monoid__add(T_d)
% 202.84/202.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.84/202.73 => ( ! [B_x] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 202.84/202.73 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 202.84/202.73 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),T_d),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_d),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_d),T_b),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(T_b,T_c),T_d),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_f_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)) ) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_reflpE,axiom,
% 202.84/202.73 ! [V_x_2,V_r_2,T_b] :
% 202.84/202.73 ( c_Predicate_Oreflp(T_b,V_r_2)
% 202.84/202.73 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_x_2)) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_setsum__multicount,axiom,
% 202.84/202.73 ! [V_k_2,V_R_2,V_T_2,T_c,V_S_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 202.84/202.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2))
% 202.84/202.73 => ( ! [B_x] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_T_2))
% 202.84/202.73 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),V_R_2),B_x)))) = V_k_2 )
% 202.84/202.73 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_Nat_Onat,T_b),c_Finite__Set_Ocard(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_OCollect(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_T_2)))),V_R_2)))),V_S_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),hAPP(c_Finite__Set_Ocard(T_c),V_T_2)) ) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_card__SigmaI,axiom,
% 202.84/202.73 ! [V_B_2,T_c,V_A_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.84/202.73 => ( ! [B_x] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 202.84/202.73 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 202.84/202.73 => hAPP(c_Finite__Set_Ocard(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_Nat_Onat,T_b),c_Finite__Set_Ocard(T_c)),V_B_2)),V_A_2) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_min__max_Oinf__Sup2__distrib,axiom,
% 202.84/202.73 ! [V_B_2,V_A_2,T_b] :
% 202.84/202.73 ( class_Orderings_Olinorder(T_b)
% 202.84/202.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.84/202.73 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.84/202.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 202.84/202.73 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.84/202.73 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_B_2)) = c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBS(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal))),c_Orderings_Oord__class_Omin(T_b)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))))))) ) ) ) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_finite__image__set,axiom,
% 202.84/202.73 ! [V_f_2,T_c,V_P_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_P_2)))
% 202.84/202.73 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_c),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool)),T_c),c_COMBB(T_c,tc_HOL_Obool,T_b)),c_fequal)),V_f_2)))),V_P_2))))) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_finite__Collect__bounded__ex,axiom,
% 202.84/202.73 ! [V_Q_2,T_c,V_P_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_P_2)))
% 202.84/202.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_P_2))),V_Q_2)))))
% 202.84/202.73 <=> ! [B_y] :
% 202.84/202.73 ( hBOOL(hAPP(V_P_2,B_y))
% 202.84/202.73 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),V_Q_2),B_y)))) ) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Pow__Compl,axiom,
% 202.84/202.73 ! [V_A_2,T_b] : hAPP(c_Set_OPow(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) = hAPP(c_Set_OCollect(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),c_HOL_OEx(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_COMBS(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_fconj)),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool))),c_fequal)),c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),c_Set_OPow(T_b))))) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_add__Max__commute,axiom,
% 202.84/202.73 ! [V_k_2,V_N_2,T_b] :
% 202.84/202.73 ( class_Groups_Olinordered__ab__semigroup__add(T_b)
% 202.84/202.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 202.84/202.73 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.84/202.73 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_k_2),c_Big__Operators_Olinorder__class_OMax(T_b,V_N_2)) = c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Groups_Oplus__class_Oplus(T_b),V_k_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_N_2))))) ) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_add__Min__commute,axiom,
% 202.84/202.73 ! [V_k_2,V_N_2,T_b] :
% 202.84/202.73 ( class_Groups_Olinordered__ab__semigroup__add(T_b)
% 202.84/202.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 202.84/202.73 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.84/202.73 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_k_2),c_Big__Operators_Olinorder__class_OMin(T_b,V_N_2)) = c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Groups_Oplus__class_Oplus(T_b),V_k_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_N_2))))) ) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_sup__Inf2__distrib,axiom,
% 202.84/202.73 ! [V_B_2,V_A_2,T_b] :
% 202.84/202.73 ( class_Lattices_Odistrib__lattice(T_b)
% 202.84/202.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.84/202.73 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.84/202.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 202.84/202.73 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.84/202.73 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_B_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBS(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal))),c_Lattices_Osemilattice__sup__class_Osup(T_b)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))))))) ) ) ) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_sup__Inf1__distrib,axiom,
% 202.84/202.73 ! [V_x_2,V_A_2,T_b] :
% 202.84/202.73 ( class_Lattices_Odistrib__lattice(T_b)
% 202.84/202.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.84/202.73 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.84/202.73 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))))) ) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_inf__Sup1__distrib,axiom,
% 202.84/202.73 ! [V_x_2,V_A_2,T_b] :
% 202.84/202.73 ( class_Lattices_Odistrib__lattice(T_b)
% 202.84/202.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.84/202.73 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.84/202.73 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))))) ) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_inf__Sup2__distrib,axiom,
% 202.84/202.73 ! [V_B_2,V_A_2,T_b] :
% 202.84/202.73 ( class_Lattices_Odistrib__lattice(T_b)
% 202.84/202.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.84/202.73 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.84/202.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 202.84/202.73 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.84/202.73 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_B_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBS(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal))),c_Lattices_Osemilattice__inf__class_Oinf(T_b)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))))))) ) ) ) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_min__max_Osup__Inf1__distrib,axiom,
% 202.84/202.73 ! [V_x_2,V_A_2,T_b] :
% 202.84/202.73 ( class_Orderings_Olinorder(T_b)
% 202.84/202.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.84/202.73 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.84/202.73 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) = c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))))) ) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_min__max_Oinf__Sup1__distrib,axiom,
% 202.84/202.73 ! [V_x_2,V_A_2,T_b] :
% 202.84/202.73 ( class_Orderings_Olinorder(T_b)
% 202.84/202.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.84/202.73 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.84/202.73 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) = c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))))) ) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_min__max_Osup__Inf2__distrib,axiom,
% 202.84/202.73 ! [V_B_2,V_A_2,T_b] :
% 202.84/202.73 ( class_Orderings_Olinorder(T_b)
% 202.84/202.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.84/202.73 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.84/202.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 202.84/202.73 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.84/202.73 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_B_2)) = c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBS(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal))),c_Orderings_Oord__class_Omax(T_b)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))))))) ) ) ) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_setsum__mult__setsum__if__inj,axiom,
% 202.84/202.73 ! [V_B_2,V_A_2,V_g_2,V_f_2,T_c,T_b,T_d] :
% 202.84/202.73 ( class_Rings_Osemiring__0(T_d)
% 202.84/202.73 => ( c_Fun_Oinj__on(tc_prod(T_b,T_c),T_d,hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,T_d),tc_fun(T_c,T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_d),tc_fun(tc_fun(T_c,T_d),tc_fun(T_c,T_d)),T_b),c_COMBB(T_d,T_d,T_c)),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_d,T_d),T_b),c_Groups_Otimes__class_Otimes(T_d)),V_f_2))),V_g_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2)))
% 202.84/202.73 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_d),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_g_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_d),c_Fun_Oid(T_d)),hAPP(c_Set_OCollect(T_d),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_d),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_d),hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_c))),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),T_d),c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool))),T_d),hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_c,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_d),hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj))),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_b,tc_fun(T_c,T_d)),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_d),tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(T_c,T_d)),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),T_d),c_COMBB(tc_fun(T_c,T_d),tc_fun(T_c,tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(tc_fun(T_c,T_d),tc_fun(T_c,tc_HOL_Obool)),T_d),c_COMBB(T_d,tc_HOL_Obool,T_c)),c_fequal))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,T_d),tc_fun(T_c,T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_d),tc_fun(tc_fun(T_c,T_d),tc_fun(T_c,T_d)),T_b),c_COMBB(T_d,T_d,T_c)),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_d,T_d),T_b),c_Groups_Otimes__class_Otimes(T_d)),V_f_2))),V_g_2)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))))))) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_finite__SigmaI,axiom,
% 202.84/202.73 ! [V_B_2,T_c,V_A_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.84/202.73 => ( ! [B_a] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 202.84/202.73 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_a))) )
% 202.84/202.73 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2))) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_setsum__multicount__gen,axiom,
% 202.84/202.73 ! [V_k_2,V_R_2,V_t_2,T_c,V_s_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2))
% 202.84/202.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_t_2))
% 202.84/202.73 => ( ! [B_x] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_t_2))
% 202.84/202.73 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_s_2))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),V_R_2),B_x)))) = hAPP(V_k_2,B_x) )
% 202.84/202.73 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_Nat_Onat,T_b),c_Finite__Set_Ocard(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_OCollect(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_t_2)))),V_R_2)))),V_s_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,tc_Nat_Onat),V_k_2),V_t_2) ) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_inj__on__id,axiom,
% 202.84/202.73 ! [V_A_2,T_b] : c_Fun_Oinj__on(T_b,T_b,c_Fun_Oid(T_b),V_A_2) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_of__int__eq__id,axiom,
% 202.84/202.73 c_Int_Oring__1__class_Oof__int(tc_Int_Oint) = c_Fun_Oid(tc_Int_Oint) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_apfst__id,axiom,
% 202.84/202.73 ! [T_c,T_b] : c_Product__Type_Oapfst(T_b,T_b,T_c,c_Fun_Oid(T_b)) = c_Fun_Oid(tc_prod(T_b,T_c)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_id__def,axiom,
% 202.84/202.73 ! [V_x_1,T_a] : hAPP(c_Fun_Oid(T_a),V_x_1) = V_x_1 ).
% 202.84/202.73
% 202.84/202.73 fof(fact_apsnd__id,axiom,
% 202.84/202.73 ! [T_b,T_c] : c_Product__Type_Oapsnd(T_c,T_c,T_b,c_Fun_Oid(T_c)) = c_Fun_Oid(tc_prod(T_b,T_c)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_id__apply,axiom,
% 202.84/202.73 ! [V_x,T_a] : hAPP(c_Fun_Oid(T_a),V_x) = V_x ).
% 202.84/202.73
% 202.84/202.73 fof(fact_vimage__id,axiom,
% 202.84/202.73 ! [V_A_2,T_b] : hAPP(c_Set_Ovimage(T_b,T_b,c_Fun_Oid(T_b)),V_A_2) = V_A_2 ).
% 202.84/202.73
% 202.84/202.73 fof(fact_o__eq__id__dest,axiom,
% 202.84/202.73 ! [V_v_2,V_c_2,V_b_2,V_a_2,T_b,T_c,T_d] :
% 202.84/202.73 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_b_2) = hAPP(c_Fun_Ocomp(T_c,T_c,T_b,c_Fun_Oid(T_c)),V_c_2)
% 202.84/202.73 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,V_v_2) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_id__o,axiom,
% 202.84/202.73 ! [V_g_2,T_b,T_c] : hAPP(c_Fun_Ocomp(T_c,T_c,T_b,c_Fun_Oid(T_c)),V_g_2) = V_g_2 ).
% 202.84/202.73
% 202.84/202.73 fof(fact_o__id,axiom,
% 202.84/202.73 ! [V_f_2,T_c,T_b] : hAPP(c_Fun_Ocomp(T_b,T_c,T_b,V_f_2),c_Fun_Oid(T_b)) = V_f_2 ).
% 202.84/202.73
% 202.84/202.73 fof(fact_image__id,axiom,
% 202.84/202.73 ! [V_Y_2,T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_Fun_Oid(T_b)),V_Y_2) = V_Y_2 ).
% 202.84/202.73
% 202.84/202.73 fof(fact_surj__id,axiom,
% 202.84/202.73 ! [T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_Fun_Oid(T_b)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_folding_Oempty,axiom,
% 202.84/202.73 ! [V_F_2,V_f_2,T_c,T_b] :
% 202.84/202.73 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 202.84/202.73 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Fun_Oid(T_c) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_split__Pair,axiom,
% 202.84/202.73 ! [T_c,T_b] : hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_prod(T_b,T_c)),c_Product__Type_OPair(T_b,T_c)) = c_Fun_Oid(tc_prod(T_b,T_c)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_setsum__reindex__id,axiom,
% 202.84/202.73 ! [V_B_2,V_f_2,T_b,T_c] :
% 202.84/202.73 ( class_Groups_Ocomm__monoid__add(T_c)
% 202.84/202.73 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 202.84/202.73 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_c),c_Fun_Oid(T_c)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_setprod__reindex__id,axiom,
% 202.84/202.73 ! [V_B_2,V_f_2,T_b,T_c] :
% 202.84/202.73 ( class_Groups_Ocomm__monoid__mult(T_c)
% 202.84/202.73 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 202.84/202.73 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_c),c_Fun_Oid(T_c)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_SigmaE,axiom,
% 202.84/202.73 ! [V_B_2,V_A_2,V_c_2,T_c,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),V_c_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)))
% 202.84/202.73 => ~ ! [B_x] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 202.84/202.73 => ! [B_y] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(T_c),B_y),hAPP(V_B_2,B_x)))
% 202.84/202.73 => V_c_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_y) ) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_map__pair__surj,axiom,
% 202.84/202.73 ! [V_g_2,T_d,T_e,V_f_2,T_b,T_c] :
% 202.84/202.73 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 202.84/202.73 => ( hAPP(c_Set_Oimage(T_e,T_d,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_e,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))
% 202.84/202.73 => hAPP(c_Set_Oimage(tc_prod(T_c,T_e),tc_prod(T_b,T_d),c_Product__Type_Omap__pair(T_c,T_b,T_e,T_d,V_f_2,V_g_2)),c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_c,T_e),tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool)) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_finite__conv__nat__seg__image,axiom,
% 202.84/202.73 ! [V_A_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.84/202.73 <=> ? [B_n,B_f] : V_A_2 = hAPP(c_Set_Oimage(tc_Nat_Onat,T_b,B_f),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),B_n))) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_map__pair__imageI,axiom,
% 202.84/202.73 ! [V_g_2,V_f_2,T_e,T_d,V_R_2,V_b_2,V_a_2,T_c,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_R_2))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_d,T_e)),hAPP(hAPP(c_Product__Type_OPair(T_d,T_e),hAPP(V_f_2,V_a_2)),hAPP(V_g_2,V_b_2))),hAPP(c_Set_Oimage(tc_prod(T_b,T_c),tc_prod(T_d,T_e),c_Product__Type_Omap__pair(T_b,T_d,T_c,T_e,V_f_2,V_g_2)),V_R_2))) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_map__pair_Oidentity,axiom,
% 202.84/202.73 ! [T_c,T_b] : c_Product__Type_Omap__pair(T_b,T_b,T_c,T_c,c_COMBI(T_b),c_COMBI(T_c)) = c_Fun_Oid(tc_prod(T_b,T_c)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_map__pair_Oid,axiom,
% 202.84/202.73 ! [T_c,T_b] : c_Product__Type_Omap__pair(T_b,T_b,T_c,T_c,c_Fun_Oid(T_b),c_Fun_Oid(T_c)) = c_Fun_Oid(tc_prod(T_b,T_c)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_snd__comp__map__pair,axiom,
% 202.84/202.73 ! [V_g_2,V_f_2,T_c,T_b,T_d,T_e] : hAPP(c_Fun_Ocomp(tc_prod(T_e,T_d),T_d,tc_prod(T_b,T_c),c_Product__Type_Osnd(T_e,T_d)),c_Product__Type_Omap__pair(T_b,T_e,T_c,T_d,V_f_2,V_g_2)) = hAPP(c_Fun_Ocomp(T_c,T_d,tc_prod(T_b,T_c),V_g_2),c_Product__Type_Osnd(T_b,T_c)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_map__pair_Ocompositionality,axiom,
% 202.84/202.73 ! [V_prod_2,V_i_2,V_h_2,T_g,T_f,V_g_2,V_f_2,T_c,T_e,T_b,T_d] : hAPP(c_Product__Type_Omap__pair(T_d,T_b,T_e,T_c,V_f_2,V_g_2),hAPP(c_Product__Type_Omap__pair(T_f,T_d,T_g,T_e,V_h_2,V_i_2),V_prod_2)) = hAPP(c_Product__Type_Omap__pair(T_f,T_b,T_g,T_c,hAPP(c_Fun_Ocomp(T_d,T_b,T_f,V_f_2),V_h_2),hAPP(c_Fun_Ocomp(T_e,T_c,T_g,V_g_2),V_i_2)),V_prod_2) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_map__pair__compose,axiom,
% 202.84/202.73 ! [V_g2_2,V_g1_2,T_g,V_f2_2,V_f1_2,T_f,T_e,T_c,T_d,T_b] : c_Product__Type_Omap__pair(T_b,T_d,T_c,T_e,hAPP(c_Fun_Ocomp(T_f,T_d,T_b,V_f1_2),V_f2_2),hAPP(c_Fun_Ocomp(T_g,T_e,T_c,V_g1_2),V_g2_2)) = hAPP(c_Fun_Ocomp(tc_prod(T_f,T_g),tc_prod(T_d,T_e),tc_prod(T_b,T_c),c_Product__Type_Omap__pair(T_f,T_d,T_g,T_e,V_f1_2,V_g1_2)),c_Product__Type_Omap__pair(T_b,T_f,T_c,T_g,V_f2_2,V_g2_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_map__pair_Ocomp,axiom,
% 202.84/202.73 ! [V_i_2,V_h_2,V_g_2,V_f_2,T_c,T_b,T_e,T_d,T_g,T_f] : hAPP(c_Fun_Ocomp(tc_prod(T_f,T_g),tc_prod(T_d,T_e),tc_prod(T_b,T_c),c_Product__Type_Omap__pair(T_f,T_d,T_g,T_e,V_f_2,V_g_2)),c_Product__Type_Omap__pair(T_b,T_f,T_c,T_g,V_h_2,V_i_2)) = c_Product__Type_Omap__pair(T_b,T_d,T_c,T_e,hAPP(c_Fun_Ocomp(T_f,T_d,T_b,V_f_2),V_h_2),hAPP(c_Fun_Ocomp(T_g,T_e,T_c,V_g_2),V_i_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_fst__comp__map__pair,axiom,
% 202.84/202.73 ! [V_g_2,V_f_2,T_c,T_b,T_e,T_d] : hAPP(c_Fun_Ocomp(tc_prod(T_d,T_e),T_d,tc_prod(T_b,T_c),c_Product__Type_Ofst(T_d,T_e)),c_Product__Type_Omap__pair(T_b,T_d,T_c,T_e,V_f_2,V_g_2)) = hAPP(c_Fun_Ocomp(T_b,T_d,tc_prod(T_b,T_c),V_f_2),c_Product__Type_Ofst(T_b,T_c)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_fst__map__pair,axiom,
% 202.84/202.73 ! [V_x_2,V_g_2,V_f_2,T_e,T_d,T_c,T_b] : hAPP(c_Product__Type_Ofst(T_b,T_c),hAPP(c_Product__Type_Omap__pair(T_d,T_b,T_e,T_c,V_f_2,V_g_2),V_x_2)) = hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_d,T_e),V_x_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_snd__prod__fun,axiom,
% 202.84/202.73 ! [V_x_2,V_g_2,V_f_2,T_e,T_d,T_b,T_c] : hAPP(c_Product__Type_Osnd(T_c,T_b),hAPP(c_Product__Type_Omap__pair(T_d,T_c,T_e,T_b,V_f_2,V_g_2),V_x_2)) = hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_d,T_e),V_x_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_map__pair__ident,axiom,
% 202.84/202.73 ! [V_z_2,T_c,T_b] : hAPP(c_Product__Type_Omap__pair(T_b,T_b,T_c,T_c,c_COMBI(T_b),c_COMBI(T_c)),V_z_2) = V_z_2 ).
% 202.84/202.73
% 202.84/202.73 fof(fact_map__pair__simp,axiom,
% 202.84/202.73 ! [V_b_2,V_a_2,V_g_2,V_f_2,T_c,T_e,T_b,T_d] : hAPP(c_Product__Type_Omap__pair(T_d,T_b,T_e,T_c,V_f_2,V_g_2),hAPP(hAPP(c_Product__Type_OPair(T_d,T_e),V_a_2),V_b_2)) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),hAPP(V_f_2,V_a_2)),hAPP(V_g_2,V_b_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_apsnd__def,axiom,
% 202.84/202.73 ! [V_f_2,T_b,T_d,T_c] : c_Product__Type_Oapsnd(T_c,T_d,T_b,V_f_2) = c_Product__Type_Omap__pair(T_b,T_b,T_c,T_d,c_Fun_Oid(T_b),V_f_2) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_apfst__def,axiom,
% 202.84/202.73 ! [V_f_2,T_c,T_d,T_b] : c_Product__Type_Oapfst(T_b,T_d,T_c,V_f_2) = c_Product__Type_Omap__pair(T_b,T_d,T_c,T_c,V_f_2,c_Fun_Oid(T_c)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_map__pair__def,axiom,
% 202.84/202.73 ! [V_g_2,V_f_2,T_e,T_c,T_d,T_b] : c_Product__Type_Omap__pair(T_b,T_d,T_c,T_e,V_f_2,V_g_2) = hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_prod(T_d,T_e)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,T_e),tc_fun(T_c,tc_prod(T_d,T_e))),hAPP(hAPP(c_COMBB(tc_fun(T_e,tc_prod(T_d,T_e)),tc_fun(tc_fun(T_c,T_e),tc_fun(T_c,tc_prod(T_d,T_e))),T_b),c_COMBB(T_e,tc_prod(T_d,T_e),T_c)),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_e,tc_prod(T_d,T_e)),T_b),c_Product__Type_OPair(T_d,T_e)),V_f_2))),V_g_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_map__pair__surj__on,axiom,
% 202.84/202.73 ! [V_B_H_2,V_B_2,V_g_2,T_d,T_e,V_A_H_2,V_A_2,V_f_2,T_b,T_c] :
% 202.84/202.73 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_A_H_2
% 202.84/202.73 => ( hAPP(c_Set_Oimage(T_e,T_d,V_g_2),V_B_2) = V_B_H_2
% 202.84/202.73 => hAPP(c_Set_Oimage(tc_prod(T_c,T_e),tc_prod(T_b,T_d),c_Product__Type_Omap__pair(T_c,T_b,T_e,T_d,V_f_2,V_g_2)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_e),V_A_2),hAPP(c_COMBK(tc_fun(T_e,tc_HOL_Obool),T_c),V_B_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_d),V_A_H_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_b),V_B_H_2)) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_map__pair__inj__on,axiom,
% 202.84/202.73 ! [V_B_2,V_g_2,T_e,T_d,V_A_2,V_f_2,T_c,T_b] :
% 202.84/202.73 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 202.84/202.73 => ( c_Fun_Oinj__on(T_d,T_e,V_g_2,V_B_2)
% 202.84/202.73 => c_Fun_Oinj__on(tc_prod(T_b,T_d),tc_prod(T_c,T_e),c_Product__Type_Omap__pair(T_b,T_c,T_d,T_e,V_f_2,V_g_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_d),V_A_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_b),V_B_2))) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_prod__fun__imageE,axiom,
% 202.84/202.73 ! [V_R_2,V_g_2,V_f_2,T_e,T_d,V_c_2,T_c,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),V_c_2),hAPP(c_Set_Oimage(tc_prod(T_d,T_e),tc_prod(T_b,T_c),c_Product__Type_Omap__pair(T_d,T_b,T_e,T_c,V_f_2,V_g_2)),V_R_2)))
% 202.84/202.73 => ~ ! [B_x,B_y] :
% 202.84/202.73 ( V_c_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_y))
% 202.84/202.73 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_d,T_e)),hAPP(hAPP(c_Product__Type_OPair(T_d,T_e),B_x),B_y)),V_R_2)) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_rel__comp__def,axiom,
% 202.84/202.73 ! [V_s_2,V_r_2,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_r_2),V_s_2) = hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_d))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),tc_fun(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool),T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_b),c_COMBS(T_d,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_d),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_b),c_COMBC(T_d,tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_b,T_d)),tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_d),tc_fun(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_HOL_Obool),T_d),c_member(tc_prod(T_b,T_d)))),c_Product__Type_OPair(T_b,T_d)))),V_r_2))))),hAPP(hAPP(c_COMBC(T_c,tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_c),c_COMBC(T_d,tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_d,T_c)),tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_c),hAPP(c_COMBB(tc_prod(T_d,T_c),tc_fun(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_HOL_Obool),T_d),c_member(tc_prod(T_d,T_c)))),hAPP(c_COMBC(T_d,T_c,tc_prod(T_d,T_c)),c_Product__Type_OPair(T_d,T_c))))),V_s_2))))) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Range__Collect__split,axiom,
% 202.84/202.73 ! [V_P_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),hAPP(c_Set_OCollect(tc_prod(T_c,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,tc_HOL_Obool),V_P_2))) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_c)),hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),V_P_2))) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_rel__compI,axiom,
% 202.84/202.73 ! [V_s_2,V_c_2,T_d,V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_r_2))
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_b_2),V_c_2)),V_s_2))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_d),V_a_2),V_c_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_2),V_s_2))) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_RangeI,axiom,
% 202.84/202.73 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_r_2))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_rel__comp__empty1,axiom,
% 202.84/202.73 ! [V_R_2,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool))),V_R_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_rel__comp__empty2,axiom,
% 202.84/202.73 ! [V_R_2,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_R_2),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_rel__comp__distrib,axiom,
% 202.84/202.73 ! [V_T_2,V_S_2,V_R_2,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_R_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_R_2),V_S_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_R_2),V_T_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_rel__comp__distrib2,axiom,
% 202.84/202.73 ! [V_R_2,V_T_2,V_S_2,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool)),V_S_2),V_T_2)),V_R_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_S_2),V_R_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_T_2),V_R_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_O__assoc,axiom,
% 202.84/202.73 ! [V_T_2,V_S_2,V_R_2,T_e,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_e,T_d),V_R_2),V_S_2)),V_T_2) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_e,T_c),V_R_2),hAPP(hAPP(c_Relation_Orel__comp(T_e,T_d,T_c),V_S_2),V_T_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_rel__comp__mono,axiom,
% 202.84/202.73 ! [V_s_2,V_s_H_2,T_d,V_r_2,V_r_H_2,T_c,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_H_2),V_r_2))
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),V_s_H_2),V_s_2))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_H_2),V_s_H_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_2),V_s_2))) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Range__Id__on,axiom,
% 202.84/202.73 ! [V_A_2,T_b] : hAPP(c_Relation_ORange(T_b,T_b),c_Relation_OId__on(T_b,V_A_2)) = V_A_2 ).
% 202.84/202.73
% 202.84/202.73 fof(fact_rel__comp__UNION__distrib,axiom,
% 202.84/202.73 ! [V_r_2,V_I_2,T_e,V_s_2,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_s_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool)),V_I_2),V_r_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),T_e),hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_s_2)),V_r_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_rel__comp__UNION__distrib2,axiom,
% 202.84/202.73 ! [V_s_2,V_r_2,V_I_2,T_e,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool)),V_I_2),V_r_2)),V_s_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBC(T_e,tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),T_e),c_Relation_Orel__comp(T_b,T_d,T_c)),V_r_2)),V_s_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_union__comp__emptyR,axiom,
% 202.84/202.73 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 202.84/202.73 ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))
% 202.84/202.73 => ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_A_2),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))
% 202.84/202.73 => hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_B_2),V_C_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_union__comp__emptyL,axiom,
% 202.84/202.73 ! [V_B_2,V_C_2,V_A_2,T_b] :
% 202.84/202.73 ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_A_2),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))
% 202.84/202.73 => ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_B_2),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))
% 202.84/202.73 => hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Range__Union,axiom,
% 202.84/202.73 ! [V_S_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),V_S_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_S_2),c_Relation_ORange(T_c,T_b)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Range__empty,axiom,
% 202.84/202.73 ! [T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Range__empty__iff,axiom,
% 202.84/202.73 ! [V_r_2,T_b,T_c] :
% 202.84/202.73 ( hAPP(c_Relation_ORange(T_c,T_b),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.84/202.73 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_rel__comp__subset__Sigma,axiom,
% 202.84/202.73 ! [V_C_2,V_s_2,T_d,V_B_2,V_A_2,V_r_2,T_c,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))))
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),V_s_2),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_B_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_c),V_C_2))))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_2),V_s_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_d),V_A_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_b),V_C_2)))) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Range__Un__eq,axiom,
% 202.84/202.73 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_c,T_b),V_A_2)),hAPP(c_Relation_ORange(T_c,T_b),V_B_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_finite__Range,axiom,
% 202.84/202.73 ! [V_r_2,T_c,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),V_r_2))
% 202.84/202.73 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_snd__eq__Range,axiom,
% 202.84/202.73 ! [V_R_2,T_b,T_c] : hAPP(c_Set_Oimage(tc_prod(T_c,T_b),T_b,c_Product__Type_Osnd(T_c,T_b)),V_R_2) = hAPP(c_Relation_ORange(T_c,T_b),V_R_2) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Range__iff,axiom,
% 202.84/202.73 ! [V_r_2,T_c,V_a_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2)))
% 202.84/202.73 <=> ? [B_y] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),B_y),V_a_2)),V_r_2)) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Range__insert,axiom,
% 202.84/202.73 ! [V_r_2,V_b_2,V_a_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),hAPP(hAPP(c_Set_Oinsert(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_a_2),V_b_2)),V_r_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Range__Int__subset,axiom,
% 202.84/202.73 ! [V_B_2,V_A_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_c,T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_c,T_b),V_A_2)),hAPP(c_Relation_ORange(T_c,T_b),V_B_2)))) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Range__Diff__subset,axiom,
% 202.84/202.73 ! [V_B_2,V_A_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_c,T_b),V_A_2)),hAPP(c_Relation_ORange(T_c,T_b),V_B_2))),hAPP(c_Relation_ORange(T_c,T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_max__ext__compat,axiom,
% 202.84/202.73 ! [V_S_2,V_R_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_S_2)),V_R_2))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Wellfounded_Omax__ext(T_b,V_R_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_HOL_Obool)),c_Wellfounded_Omax__ext(T_b,V_S_2)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_HOL_Obool)))))),c_Wellfounded_Omax__ext(T_b,V_R_2))) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_min__ext__compat,axiom,
% 202.84/202.73 ! [V_S_2,V_R_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_S_2)),V_R_2))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Wellfounded_Omin__ext(T_b,V_R_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_HOL_Obool)),c_Wellfounded_Omin__ext(T_b,V_S_2)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_HOL_Obool)))))),c_Wellfounded_Omin__ext(T_b,V_R_2))) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_RangeP__Range__eq,axiom,
% 202.84/202.73 ! [V_x_2,V_r_2,T_c,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_r_2)),V_x_2))
% 202.84/202.73 <=> hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_RangeE,axiom,
% 202.84/202.73 ! [V_r_2,T_c,V_b_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2)))
% 202.84/202.73 => ~ ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),B_x),V_b_2)),V_r_2)) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_pred__comp__rel__comp__eq,axiom,
% 202.84/202.73 ! [V_y_2,V_x_2,V_s_2,V_r_2,T_d,T_c,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(T_b,T_c,T_d,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_r_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_c),c_COMBC(T_d,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_c,T_d)),tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),T_c),hAPP(c_COMBB(tc_prod(T_c,T_d),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool),T_d),c_member(tc_prod(T_c,T_d)))),c_Product__Type_OPair(T_c,T_d)))),V_s_2)),V_x_2),V_y_2))
% 202.84/202.73 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_d),V_x_2),V_y_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_2),V_s_2))) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_pred__comp_Ointros,axiom,
% 202.84/202.73 ! [T_d,T_c,T_b,V_c_2,V_s_2,V_b_2,V_a_2,V_r_2] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(V_s_2,V_b_2),V_c_2))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(T_b,T_c,T_d,V_r_2,V_s_2),V_a_2),V_c_2)) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_RangeP_Ointros,axiom,
% 202.84/202.73 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 202.84/202.73 => hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,V_r_2),V_b_2)) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_RangeP_Oequations,axiom,
% 202.84/202.73 ! [V_a2_2,V_r_2,T_c,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,V_r_2),V_a2_2))
% 202.84/202.73 <=> ? [B_a] : hBOOL(hAPP(hAPP(V_r_2,B_a),V_a2_2)) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_pred__comp_Oequations,axiom,
% 202.84/202.73 ! [V_a3_2,V_a1_2,V_s_2,V_r_2,T_d,T_c,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(T_b,T_c,T_d,V_r_2,V_s_2),V_a1_2),V_a3_2))
% 202.84/202.73 <=> ? [B_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_b))
% 202.84/202.73 & hBOOL(hAPP(hAPP(V_s_2,B_b),V_a3_2)) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_reduction__pairI,axiom,
% 202.84/202.73 ! [V_S_2,V_R_2,T_b] :
% 202.84/202.73 ( c_Wellfounded_Owf(T_b,V_R_2)
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_S_2)),V_R_2))
% 202.84/202.73 => c_FunDef_Oreduction__pair(T_b,hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Domain__Collect__split,axiom,
% 202.84/202.73 ! [V_P_2,T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_P_2))) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_c)),V_P_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_the__sym__eq__trivial,axiom,
% 202.84/202.73 ! [V_x_2,T_b] : c_HOL_OThe(T_b,hAPP(c_fequal,V_x_2)) = V_x_2 ).
% 202.84/202.73
% 202.84/202.73 fof(fact_wf__less__than,axiom,
% 202.84/202.73 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Oless__than) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_wf__empty,axiom,
% 202.84/202.73 ! [T_b] : c_Wellfounded_Owf(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_wf__inv__image,axiom,
% 202.84/202.73 ! [V_f_2,T_c,V_r_2,T_b] :
% 202.84/202.73 ( c_Wellfounded_Owf(T_b,V_r_2)
% 202.84/202.73 => c_Wellfounded_Owf(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_wf__lex__prod,axiom,
% 202.84/202.73 ! [V_rb_2,T_c,V_ra_2,T_b] :
% 202.84/202.73 ( c_Wellfounded_Owf(T_b,V_ra_2)
% 202.84/202.73 => ( c_Wellfounded_Owf(T_c,V_rb_2)
% 202.84/202.73 => c_Wellfounded_Owf(tc_prod(T_b,T_c),c_Wellfounded_Olex__prod(T_b,T_c,V_ra_2,V_rb_2)) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_wf__measure,axiom,
% 202.84/202.73 ! [V_f_2,T_b] : c_Wellfounded_Owf(T_b,hAPP(c_Wellfounded_Omeasure(T_b),V_f_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_DomainI,axiom,
% 202.84/202.73 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_r_2))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_wf__comp__self,axiom,
% 202.84/202.73 ! [V_R_2,T_b] :
% 202.84/202.73 ( c_Wellfounded_Owf(T_b,V_R_2)
% 202.84/202.73 <=> c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_R_2)) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_min__ext__wf,axiom,
% 202.84/202.73 ! [V_r_2,T_b] :
% 202.84/202.73 ( c_Wellfounded_Owf(T_b,V_r_2)
% 202.84/202.73 => c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Omin__ext(T_b,V_r_2)) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_wf__subset,axiom,
% 202.84/202.73 ! [V_p_2,V_r_2,T_b] :
% 202.84/202.73 ( c_Wellfounded_Owf(T_b,V_r_2)
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_p_2),V_r_2))
% 202.84/202.73 => c_Wellfounded_Owf(T_b,V_p_2) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_wf__less,axiom,
% 202.84/202.73 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)))) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_max__ext__wf,axiom,
% 202.84/202.73 ! [V_r_2,T_b] :
% 202.84/202.73 ( c_Wellfounded_Owf(T_b,V_r_2)
% 202.84/202.73 => c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Omax__ext(T_b,V_r_2)) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_wf__pair__less,axiom,
% 202.84/202.73 c_Wellfounded_Owf(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_wf__mlex,axiom,
% 202.84/202.73 ! [V_f_2,V_R_2,T_b] :
% 202.84/202.73 ( c_Wellfounded_Owf(T_b,V_R_2)
% 202.84/202.73 => c_Wellfounded_Owf(T_b,c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2)) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_wf__Int1,axiom,
% 202.84/202.73 ! [V_r_H_2,V_r_2,T_b] :
% 202.84/202.73 ( c_Wellfounded_Owf(T_b,V_r_2)
% 202.84/202.73 => c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_r_H_2)) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_wf__Int2,axiom,
% 202.84/202.73 ! [V_r_H_2,V_r_2,T_b] :
% 202.84/202.73 ( c_Wellfounded_Owf(T_b,V_r_2)
% 202.84/202.73 => c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_H_2),V_r_2)) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_wf__finite__psubset,axiom,
% 202.84/202.73 ! [T_b] : c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_b)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Domain__Id__on,axiom,
% 202.84/202.73 ! [V_A_2,T_b] : hAPP(c_Relation_ODomain(T_b,T_b),c_Relation_OId__on(T_b,V_A_2)) = V_A_2 ).
% 202.84/202.73
% 202.84/202.73 fof(fact_wf__irrefl,axiom,
% 202.84/202.73 ! [V_a_2,V_r_2,T_b] :
% 202.84/202.73 ( c_Wellfounded_Owf(T_b,V_r_2)
% 202.84/202.73 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_2)),V_r_2)) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_wf__asym,axiom,
% 202.84/202.73 ! [V_x_2,V_a_2,V_r_2,T_b] :
% 202.84/202.73 ( c_Wellfounded_Owf(T_b,V_r_2)
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_x_2)),V_r_2))
% 202.84/202.73 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_a_2)),V_r_2)) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_wf__not__sym,axiom,
% 202.84/202.73 ! [V_x_2,V_a_2,V_r_2,T_b] :
% 202.84/202.73 ( c_Wellfounded_Owf(T_b,V_r_2)
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_x_2)),V_r_2))
% 202.84/202.73 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_a_2)),V_r_2)) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_wf__not__refl,axiom,
% 202.84/202.73 ! [V_a_2,V_r_2,T_b] :
% 202.84/202.73 ( c_Wellfounded_Owf(T_b,V_r_2)
% 202.84/202.73 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_2)),V_r_2)) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_wf__int__ge__less__than,axiom,
% 202.84/202.73 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than(V_d_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_wf__int__ge__less__than2,axiom,
% 202.84/202.73 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than2(V_d_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_wf__Un,axiom,
% 202.84/202.73 ! [V_s_2,V_r_2,T_b] :
% 202.84/202.73 ( c_Wellfounded_Owf(T_b,V_r_2)
% 202.84/202.73 => ( c_Wellfounded_Owf(T_b,V_s_2)
% 202.84/202.73 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_b),V_r_2)),hAPP(c_Relation_ORange(T_b,T_b),V_s_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.84/202.73 => c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_acc__wfD,axiom,
% 202.84/202.73 ! [V_x_2,V_r_2,T_b] :
% 202.84/202.73 ( c_Wellfounded_Owf(T_b,V_r_2)
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_wf__acc__iff,axiom,
% 202.84/202.73 ! [V_r_2,T_b] :
% 202.84/202.73 ( c_Wellfounded_Owf(T_b,V_r_2)
% 202.84/202.73 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_wf__no__loop,axiom,
% 202.84/202.73 ! [V_R_2,T_b] :
% 202.84/202.73 ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_R_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))
% 202.84/202.73 => c_Wellfounded_Owf(T_b,V_R_2) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_wf__union__merge,axiom,
% 202.84/202.73 ! [V_S_2,V_R_2,T_b] :
% 202.84/202.73 ( c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2))
% 202.84/202.73 <=> c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_R_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_S_2),V_R_2))),V_S_2)) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Domain__empty,axiom,
% 202.84/202.73 ! [T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Domain__empty__iff,axiom,
% 202.84/202.73 ! [V_r_2,T_c,T_b] :
% 202.84/202.73 ( hAPP(c_Relation_ODomain(T_b,T_c),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.84/202.73 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Domain__mono,axiom,
% 202.84/202.73 ! [V_s_2,V_r_2,T_c,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_2),V_s_2))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2)),hAPP(c_Relation_ODomain(T_b,T_c),V_s_2))) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Domain__Un__eq,axiom,
% 202.84/202.73 ! [V_B_2,V_A_2,T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_c),V_A_2)),hAPP(c_Relation_ODomain(T_b,T_c),V_B_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_finite__Domain,axiom,
% 202.84/202.73 ! [V_r_2,T_c,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),V_r_2))
% 202.84/202.73 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_fst__eq__Domain,axiom,
% 202.84/202.73 ! [V_R_2,T_c,T_b] : hAPP(c_Set_Oimage(tc_prod(T_b,T_c),T_b,c_Product__Type_Ofst(T_b,T_c)),V_R_2) = hAPP(c_Relation_ODomain(T_b,T_c),V_R_2) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_wf__iff__no__infinite__down__chain,axiom,
% 202.84/202.73 ! [V_r_2,T_b] :
% 202.84/202.73 ( c_Wellfounded_Owf(T_b,V_r_2)
% 202.84/202.73 <=> ~ ? [B_f] :
% 202.84/202.73 ! [B_i] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(B_f,hAPP(c_Nat_OSuc,B_i))),hAPP(B_f,B_i))),V_r_2)) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_wfE__pf,axiom,
% 202.84/202.73 ! [V_A_2,V_R_2,T_b] :
% 202.84/202.73 ( c_Wellfounded_Owf(T_b,V_R_2)
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Relation_OImage(T_b,T_b,V_R_2),V_A_2)))
% 202.84/202.73 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_wf__union__compatible,axiom,
% 202.84/202.73 ! [V_S_2,V_R_2,T_b] :
% 202.84/202.73 ( c_Wellfounded_Owf(T_b,V_R_2)
% 202.84/202.73 => ( c_Wellfounded_Owf(T_b,V_S_2)
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_S_2)),V_R_2))
% 202.84/202.73 => c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)) ) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Domain__iff,axiom,
% 202.84/202.73 ! [V_r_2,T_c,V_a_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2)))
% 202.84/202.73 <=> ? [B_y] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),B_y)),V_r_2)) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_wf,axiom,
% 202.84/202.73 ! [T_b] :
% 202.84/202.73 ( class_Orderings_Owellorder(T_b)
% 202.84/202.73 => c_Wellfounded_Owf(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),c_Orderings_Oord__class_Oless(T_b)))) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Domain__insert,axiom,
% 202.84/202.73 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_r_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_reduction__pair__def,axiom,
% 202.84/202.73 ! [V_P_2,T_b] :
% 202.84/202.73 ( c_FunDef_Oreduction__pair(T_b,V_P_2)
% 202.84/202.73 <=> ( c_Wellfounded_Owf(T_b,hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_P_2))
% 202.84/202.73 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_P_2)),hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_P_2))),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_P_2))) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_reduction__pair__lemma,axiom,
% 202.84/202.73 ! [V_S_2,V_R_2,V_P_2,T_b] :
% 202.84/202.73 ( c_FunDef_Oreduction__pair(T_b,V_P_2)
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_P_2)))
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_S_2),hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_P_2)))
% 202.84/202.73 => ( c_Wellfounded_Owf(T_b,V_S_2)
% 202.84/202.73 => c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)) ) ) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Domain__Int__subset,axiom,
% 202.84/202.73 ! [V_B_2,V_A_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_c),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_c),V_A_2)),hAPP(c_Relation_ODomain(T_b,T_c),V_B_2)))) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Domain__Diff__subset,axiom,
% 202.84/202.73 ! [V_B_2,V_A_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_c),V_A_2)),hAPP(c_Relation_ODomain(T_b,T_c),V_B_2))),hAPP(c_Relation_ODomain(T_b,T_c),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Field__def,axiom,
% 202.84/202.73 ! [V_r_2,T_b] : hAPP(c_Relation_OField(T_b),V_r_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_b),V_r_2)),hAPP(c_Relation_ORange(T_b,T_b),V_r_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_wf__map__pair__image,axiom,
% 202.84/202.73 ! [V_f_2,T_c,V_r_2,T_b] :
% 202.84/202.73 ( c_Wellfounded_Owf(T_b,V_r_2)
% 202.84/202.73 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 202.84/202.73 => c_Wellfounded_Owf(T_c,hAPP(c_Set_Oimage(tc_prod(T_b,T_b),tc_prod(T_c,T_c),c_Product__Type_Omap__pair(T_b,T_c,T_b,T_c,V_f_2,V_f_2)),V_r_2)) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Domain__Union,axiom,
% 202.84/202.73 ! [V_S_2,T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),V_S_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_S_2),c_Relation_ODomain(T_b,T_c)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_the__eq__trivial,axiom,
% 202.84/202.73 ! [V_a_2,T_b] : c_HOL_OThe(T_b,hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2)) = V_a_2 ).
% 202.84/202.73
% 202.84/202.73 fof(fact_DomainP__Domain__eq,axiom,
% 202.84/202.73 ! [V_x_2,V_r_2,T_c,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_r_2)),V_x_2))
% 202.84/202.73 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_wf__lenlex,axiom,
% 202.84/202.73 ! [V_r_2,T_b] :
% 202.84/202.73 ( c_Wellfounded_Owf(T_b,V_r_2)
% 202.84/202.73 => c_Wellfounded_Owf(tc_List_Olist(T_b),c_List_Olenlex(T_b,V_r_2)) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_DomainE,axiom,
% 202.84/202.73 ! [V_r_2,T_c,V_a_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2)))
% 202.84/202.73 => ~ ! [B_y] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),B_y)),V_r_2)) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_DomainP_Ointros,axiom,
% 202.84/202.73 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 202.84/202.73 => hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,V_r_2),V_a_2)) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_DomainP_Oequations,axiom,
% 202.84/202.73 ! [V_a1_2,V_r_2,T_c,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,V_r_2),V_a1_2))
% 202.84/202.73 <=> ? [B_x1] : hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_x1)) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_pred__nat__def,axiom,
% 202.84/202.73 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))) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_wf__lex,axiom,
% 202.84/202.73 ! [V_r_2,T_b] :
% 202.84/202.73 ( c_Wellfounded_Owf(T_b,V_r_2)
% 202.84/202.73 => c_Wellfounded_Owf(tc_List_Olist(T_b),c_List_Olex(T_b,V_r_2)) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_wf__lexn,axiom,
% 202.84/202.73 ! [V_n_2,V_r_2,T_b] :
% 202.84/202.73 ( c_Wellfounded_Owf(T_b,V_r_2)
% 202.84/202.73 => c_Wellfounded_Owf(tc_List_Olist(T_b),hAPP(c_List_Olexn(T_b,V_r_2),V_n_2)) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_lex__def,axiom,
% 202.84/202.73 ! [V_r_2,T_b] : c_List_Olex(T_b,V_r_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),c_List_Olexn(T_b,V_r_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_lexn_Osimps_I1_J,axiom,
% 202.84/202.73 ! [V_r_2,T_b] : hAPP(c_List_Olexn(T_b,V_r_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_wf__pred__nat,axiom,
% 202.84/202.73 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Opred__nat) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_wf__same__fst,axiom,
% 202.84/202.73 ! [T_b,V_R_2,T_c,V_P_2] :
% 202.84/202.73 ( ! [B_x] :
% 202.84/202.73 ( hBOOL(hAPP(V_P_2,B_x))
% 202.84/202.73 => c_Wellfounded_Owf(T_c,hAPP(V_R_2,B_x)) )
% 202.84/202.73 => c_Wellfounded_Owf(tc_prod(T_b,T_c),c_Recdef_Osame__fst(T_b,T_c,V_P_2,V_R_2)) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_wf__if__measure,axiom,
% 202.84/202.73 ! [T_b,V_g_2,V_f_2,V_P_2] :
% 202.84/202.73 ( ! [B_x] :
% 202.84/202.73 ( hBOOL(hAPP(V_P_2,B_x))
% 202.84/202.73 => 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))) )
% 202.84/202.73 => c_Wellfounded_Owf(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_P_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),V_g_2))))) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_wfP__def,axiom,
% 202.84/202.73 ! [V_r_2,T_b] :
% 202.84/202.73 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 202.84/202.73 <=> c_Wellfounded_Owf(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),V_r_2))) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_wfP__empty,axiom,
% 202.84/202.73 ! [T_b] : c_Wellfounded_OwfP(T_b,hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBK(tc_HOL_Obool,T_b),c_fFalse))) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_wfP__accp__iff,axiom,
% 202.84/202.73 ! [V_r_2,T_b] :
% 202.84/202.73 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 202.84/202.73 <=> ! [B_x1] : hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x1)) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_accp__wfPD,axiom,
% 202.84/202.73 ! [V_x_2,V_r_2,T_b] :
% 202.84/202.73 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 202.84/202.73 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_x_2)) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_wfP__subset,axiom,
% 202.84/202.73 ! [V_p_2,V_r_2,T_b] :
% 202.84/202.73 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),V_p_2),V_r_2))
% 202.84/202.73 => c_Wellfounded_OwfP(T_b,V_p_2) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_wf__in__rel,axiom,
% 202.84/202.73 ! [V_R_2,T_b] :
% 202.84/202.73 ( c_Wellfounded_Owf(T_b,V_R_2)
% 202.84/202.73 => c_Wellfounded_OwfP(T_b,c_FunDef_Oin__rel(T_b,T_b,V_R_2)) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_wfP__wf__eq,axiom,
% 202.84/202.73 ! [V_r_2,T_b] :
% 202.84/202.73 ( c_Wellfounded_OwfP(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_r_2))
% 202.84/202.73 <=> c_Wellfounded_Owf(T_b,V_r_2) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_wfP__acyclicP,axiom,
% 202.84/202.73 ! [V_r_2,T_b] :
% 202.84/202.73 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 202.84/202.73 => c_Wellfounded_Oacyclic(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),V_r_2))) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_pigeonhole__infinite,axiom,
% 202.84/202.73 ! [V_f_2,T_c,V_A_2,T_b] :
% 202.84/202.73 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.84/202.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 202.84/202.73 => ? [B_x] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 202.84/202.73 & ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2)),hAPP(V_f_2,B_x)))))) ) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Abs__Integ__induct,axiom,
% 202.84/202.73 ! [V_x_2,V_P_2] :
% 202.84/202.73 ( ! [B_y] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg))
% 202.84/202.73 => hBOOL(hAPP(V_P_2,hAPP(c_Int_OAbs__Integ,B_y))) )
% 202.84/202.73 => hBOOL(hAPP(V_P_2,V_x_2)) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_wf__acyclic,axiom,
% 202.84/202.73 ! [V_r_2,T_b] :
% 202.84/202.73 ( c_Wellfounded_Owf(T_b,V_r_2)
% 202.84/202.73 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_acyclic__subset,axiom,
% 202.84/202.73 ! [V_r_2,V_s_2,T_b] :
% 202.84/202.73 ( c_Wellfounded_Oacyclic(T_b,V_s_2)
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 202.84/202.73 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_finite__acyclic__wf,axiom,
% 202.84/202.73 ! [V_r_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 202.84/202.73 => ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 202.84/202.73 => c_Wellfounded_Owf(T_b,V_r_2) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_wf__iff__acyclic__if__finite,axiom,
% 202.84/202.73 ! [V_r_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 202.84/202.73 => ( c_Wellfounded_Owf(T_b,V_r_2)
% 202.84/202.73 <=> c_Wellfounded_Oacyclic(T_b,V_r_2) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Nitpick_Owf_H__def,axiom,
% 202.84/202.73 ! [V_r_2,T_b] :
% 202.84/202.73 ( c_Nitpick_Owf_H(T_b,V_r_2)
% 202.84/202.73 <=> ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 202.84/202.73 & ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 202.84/202.73 | c_Nitpick_Ounknown(tc_HOL_Obool) ) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Abs__Integ__cases,axiom,
% 202.84/202.73 ! [V_x_2] :
% 202.84/202.73 ~ ! [B_y] :
% 202.84/202.73 ( V_x_2 = hAPP(c_Int_OAbs__Integ,B_y)
% 202.84/202.73 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg)) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_finite__UN__I,axiom,
% 202.84/202.73 ! [V_B_2,T_c,V_A_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.84/202.73 => ( ! [B_a] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 202.84/202.73 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_a))) )
% 202.84/202.73 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_inj__on__diff__nat,axiom,
% 202.84/202.73 ! [V_k_2,V_N_2] :
% 202.84/202.73 ( ! [B_x] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),B_x)) )
% 202.84/202.73 => 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) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_wfP__SUP,axiom,
% 202.84/202.73 ! [T_b,V_r_2,T_c] :
% 202.84/202.73 ( ! [B_i] : c_Wellfounded_OwfP(T_c,hAPP(V_r_2,B_i))
% 202.84/202.73 => ( ! [B_i,B_j] :
% 202.84/202.73 ( hAPP(V_r_2,B_i) != hAPP(V_r_2,B_j)
% 202.84/202.73 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),c_Predicate_ODomainP(T_c,T_c,hAPP(V_r_2,B_i))),c_Predicate_ORangeP(T_c,T_c,hAPP(V_r_2,B_j))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 202.84/202.73 => c_Wellfounded_OwfP(T_c,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_fun(T_c,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_r_2)) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_mem__splitE,axiom,
% 202.84/202.73 ! [V_p_2,V_c_2,T_d,T_c,V_z_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,tc_fun(T_b,tc_HOL_Obool)),V_c_2),V_p_2)))
% 202.84/202.73 => ~ ! [B_x,B_y] :
% 202.84/202.73 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),B_x),B_y)
% 202.84/202.73 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(V_c_2,B_x),B_y))) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_mem__splitI2,axiom,
% 202.84/202.73 ! [V_c_2,V_z_2,T_d,T_c,T_b,V_p_2] :
% 202.84/202.73 ( ! [B_a,B_b] :
% 202.84/202.73 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b)
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_member(T_d),V_z_2),hAPP(hAPP(V_c_2,B_a),B_b))) )
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_member(T_d),V_z_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_fun(T_d,tc_HOL_Obool)),V_c_2),V_p_2))) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Eps__split,axiom,
% 202.84/202.73 ! [V_P_2,T_c,T_b] : c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_P_2)) = c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),hAPP(hAPP(c_COMBS(tc_prod(T_b,T_c),T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_HOL_Obool),tc_prod(T_b,T_c)),V_P_2),c_Product__Type_Ofst(T_b,T_c))),c_Product__Type_Osnd(T_b,T_c))) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_wfI__pf,axiom,
% 202.84/202.73 ! [V_R_2,T_b] :
% 202.84/202.73 ( ! [B_A] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),B_A),hAPP(c_Relation_OImage(T_b,T_b,V_R_2),B_A)))
% 202.84/202.73 => B_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) )
% 202.84/202.73 => c_Wellfounded_Owf(T_b,V_R_2) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_exE__some,axiom,
% 202.84/202.73 ! [T_b,V_c_2,V_P_2] :
% 202.84/202.73 ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 202.84/202.73 => ( V_c_2 = c_Hilbert__Choice_OEps(T_b,V_P_2)
% 202.84/202.73 => hBOOL(hAPP(V_P_2,V_c_2)) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_someI,axiom,
% 202.84/202.73 ! [T_b,V_x_2,V_P_2] :
% 202.84/202.73 ( hBOOL(hAPP(V_P_2,V_x_2))
% 202.84/202.73 => hBOOL(hAPP(V_P_2,c_Hilbert__Choice_OEps(T_b,V_P_2))) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_tfl__some,axiom,
% 202.84/202.73 ! [T_b,B_P] :
% 202.84/202.73 ( ? [B_x] : hBOOL(hAPP(B_P,B_x))
% 202.84/202.73 => hBOOL(hAPP(B_P,c_Hilbert__Choice_OEps(T_b,B_P))) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_someI__ex,axiom,
% 202.84/202.73 ! [T_b,V_P_2] :
% 202.84/202.73 ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 202.84/202.73 => hBOOL(hAPP(V_P_2,c_Hilbert__Choice_OEps(T_b,V_P_2))) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_some__eq__ex,axiom,
% 202.84/202.73 ! [T_b,V_P_2] :
% 202.84/202.73 ( hBOOL(hAPP(V_P_2,c_Hilbert__Choice_OEps(T_b,V_P_2)))
% 202.84/202.73 <=> ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_some__eq__trivial,axiom,
% 202.84/202.73 ! [V_x_2,T_b] : c_Hilbert__Choice_OEps(T_b,hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_x_2)) = V_x_2 ).
% 202.84/202.73
% 202.84/202.73 fof(fact_some__sym__eq__trivial,axiom,
% 202.84/202.73 ! [V_x_2,T_b] : c_Hilbert__Choice_OEps(T_b,hAPP(c_fequal,V_x_2)) = V_x_2 ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Eps__split__eq,axiom,
% 202.84/202.73 ! [V_y_2,V_x_2,T_c,T_b] : c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(c_fequal,V_x_2)))),hAPP(c_fequal,V_y_2)))) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_split__paired__Eps,axiom,
% 202.84/202.73 ! [V_P_2,T_c,T_b] : c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),V_P_2) = c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,T_c),V_P_2)),c_Product__Type_OPair(T_b,T_c)))) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Sigma__mono,axiom,
% 202.84/202.73 ! [V_D_2,V_B_2,T_c,V_C_2,V_A_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 202.84/202.73 => ( ! [B_x] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_B_2,B_x)),hAPP(V_D_2,B_x))) )
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_C_2),V_D_2))) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_acc_OaccI,axiom,
% 202.84/202.73 ! [V_r_2,V_x_2,T_b] :
% 202.84/202.73 ( ! [B_y] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_x_2)),V_r_2))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_member(T_b),B_y),c_Wellfounded_Oacc(T_b,V_r_2))) )
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_not__acc__down,axiom,
% 202.84/202.73 ! [V_R_2,V_x_2,T_b] :
% 202.84/202.73 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_R_2)))
% 202.84/202.73 => ~ ! [B_z] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_z),V_x_2)),V_R_2))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_member(T_b),B_z),c_Wellfounded_Oacc(T_b,V_R_2))) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_max__ext_Osimps,axiom,
% 202.84/202.73 ! [V_R_2,V_a2_2,V_a1_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_a1_2),V_a2_2)),c_Wellfounded_Omax__ext(T_b,V_R_2)))
% 202.84/202.73 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2))
% 202.84/202.73 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2))
% 202.84/202.73 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.84/202.73 & ! [B_x] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2))
% 202.84/202.73 => ? [B_xa] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2))
% 202.84/202.73 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_xa)),V_R_2)) ) ) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_def__coinduct__set,axiom,
% 202.84/202.73 ! [V_X_2,V_a_2,V_f_2,T_b,V_A_2] :
% 202.84/202.73 ( V_A_2 = c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2)
% 202.84/202.73 => ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),V_f_2)
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_X_2))
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_A_2))))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_coinduct__set,axiom,
% 202.84/202.73 ! [V_X_2,V_a_2,V_f_2,T_b] :
% 202.84/202.73 ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),V_f_2)
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_X_2))
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_X_2),c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2)))))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2))) ) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_gfp__unfold,axiom,
% 202.84/202.73 ! [V_f_2,T_b] :
% 202.84/202.73 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 202.84/202.73 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2)
% 202.84/202.73 => c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2) = hAPP(V_f_2,c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2)) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_def__gfp__unfold,axiom,
% 202.84/202.73 ! [V_f_2,V_A_2,T_b] :
% 202.84/202.73 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 202.84/202.73 => ( V_A_2 = c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2)
% 202.84/202.73 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2)
% 202.84/202.73 => V_A_2 = hAPP(V_f_2,V_A_2) ) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_gfp__upperbound,axiom,
% 202.84/202.73 ! [V_f_2,V_X_2,T_b] :
% 202.84/202.73 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_X_2),hAPP(V_f_2,V_X_2)))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_X_2),c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2))) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_weak__coinduct,axiom,
% 202.84/202.73 ! [V_f_2,V_X_2,V_a_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_X_2))
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(V_f_2,V_X_2)))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2))) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_gfp__lemma3,axiom,
% 202.84/202.73 ! [V_f_2,T_b] :
% 202.84/202.73 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 202.84/202.73 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2)
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2))),c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2))) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_gfp__lemma2,axiom,
% 202.84/202.73 ! [V_f_2,T_b] :
% 202.84/202.73 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 202.84/202.73 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2)
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2)),hAPP(V_f_2,c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2)))) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_weak__coinduct__image,axiom,
% 202.84/202.73 ! [V_f_2,V_g_2,T_c,V_X_2,V_a_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_X_2))
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_g_2),V_X_2)),hAPP(V_f_2,hAPP(c_Set_Oimage(T_b,T_c,V_g_2),V_X_2))))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_g_2,V_a_2)),c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_c,tc_HOL_Obool),V_f_2))) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_gfp__fun__UnI2,axiom,
% 202.84/202.73 ! [V_X_2,V_a_2,V_f_2,T_b] :
% 202.84/202.73 ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),V_f_2)
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2)))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_X_2),c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2))))) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_def__coinduct,axiom,
% 202.84/202.73 ! [V_X_2,V_f_2,V_A_2,T_b] :
% 202.84/202.73 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 202.84/202.73 => ( V_A_2 = c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2)
% 202.84/202.73 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2)
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_X_2),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_X_2),V_A_2))))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_X_2),V_A_2)) ) ) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_coinduct__lemma,axiom,
% 202.84/202.73 ! [V_f_2,V_X_2,T_b] :
% 202.84/202.73 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_X_2),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_X_2),c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2)))))
% 202.84/202.73 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2)
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_X_2),c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2))),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_X_2),c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2))))) ) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_coinduct,axiom,
% 202.84/202.73 ! [V_X_2,V_f_2,T_b] :
% 202.84/202.73 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 202.84/202.73 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2)
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_X_2),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_X_2),c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2)))))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_X_2),c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2))) ) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_coinduct3,axiom,
% 202.84/202.73 ! [V_X_2,V_a_2,V_f_2,T_b] :
% 202.84/202.73 ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),V_f_2)
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_X_2))
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(V_f_2,c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_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)),tc_fun(T_b,tc_HOL_Obool)),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_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)),tc_fun(T_b,tc_HOL_Obool)),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_f_2)),V_X_2))),c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2))))))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2))) ) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_def__coinduct3,axiom,
% 202.84/202.73 ! [V_X_2,V_a_2,V_f_2,T_b,V_A_2] :
% 202.84/202.73 ( V_A_2 = c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2)
% 202.84/202.73 => ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),V_f_2)
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_X_2))
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(V_f_2,c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_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)),tc_fun(T_b,tc_HOL_Obool)),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_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)),tc_fun(T_b,tc_HOL_Obool)),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_f_2)),V_X_2))),V_A_2)))))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_def__Collect__coinduct,axiom,
% 202.84/202.73 ! [V_X_2,V_a_2,V_P_2,T_b,V_A_2] :
% 202.84/202.73 ( V_A_2 = c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_OCollect(T_b)),V_P_2))
% 202.84/202.73 => ( c_Orderings_Oorder__class_Omono(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(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_OCollect(T_b)),V_P_2))
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_X_2))
% 202.84/202.73 => ( ! [B_z] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(T_b),B_z),V_X_2))
% 202.84/202.73 => hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_A_2)),B_z)) )
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_lfp__lowerbound,axiom,
% 202.84/202.73 ! [V_A_2,V_f_2,T_b] :
% 202.84/202.73 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,V_A_2)),V_A_2))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2)),V_A_2)) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_lfp__const,axiom,
% 202.84/202.73 ! [V_t_2,T_b] :
% 202.84/202.73 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 202.84/202.73 => c_Inductive_Ocomplete__lattice__class_Olfp(T_b,hAPP(c_COMBK(T_b,T_b),V_t_2)) = V_t_2 ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_def__lfp__unfold,axiom,
% 202.84/202.73 ! [V_f_2,V_h_2,T_b] :
% 202.84/202.73 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 202.84/202.73 => ( V_h_2 = c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2)
% 202.84/202.73 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2)
% 202.84/202.73 => V_h_2 = hAPP(V_f_2,V_h_2) ) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_lfp__unfold,axiom,
% 202.84/202.73 ! [V_f_2,T_b] :
% 202.84/202.73 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 202.84/202.73 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2)
% 202.84/202.73 => c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2) = hAPP(V_f_2,c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2)) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_lfp__lemma3,axiom,
% 202.84/202.73 ! [V_f_2,T_b] :
% 202.84/202.73 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 202.84/202.73 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2)
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2)),hAPP(V_f_2,c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2)))) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_lfp__lemma2,axiom,
% 202.84/202.73 ! [V_f_2,T_b] :
% 202.84/202.73 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 202.84/202.73 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2)
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2))),c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2))) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_lfp__induct,axiom,
% 202.84/202.73 ! [V_P_2,V_f_2,T_b] :
% 202.84/202.73 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 202.84/202.73 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2)
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2)),V_P_2))),V_P_2))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2)),V_P_2)) ) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_def__lfp__induct,axiom,
% 202.84/202.73 ! [V_P_2,V_f_2,V_A_2,T_b] :
% 202.84/202.73 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 202.84/202.73 => ( V_A_2 = c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2)
% 202.84/202.73 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2)
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_A_2),V_P_2))),V_P_2))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_A_2),V_P_2)) ) ) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_coinduct3__lemma,axiom,
% 202.84/202.73 ! [V_f_2,V_X_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(V_f_2,c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_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)),tc_fun(T_b,tc_HOL_Obool)),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_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)),tc_fun(T_b,tc_HOL_Obool)),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_f_2)),V_X_2))),c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2))))))
% 202.84/202.73 => ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),V_f_2)
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_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)),tc_fun(T_b,tc_HOL_Obool)),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_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)),tc_fun(T_b,tc_HOL_Obool)),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_f_2)),V_X_2))),c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2)))),hAPP(V_f_2,c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_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)),tc_fun(T_b,tc_HOL_Obool)),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_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)),tc_fun(T_b,tc_HOL_Obool)),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_f_2)),V_X_2))),c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2)))))) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_lfp__induct__set,axiom,
% 202.84/202.73 ! [V_P_2,V_f_2,V_a_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(T_b,tc_HOL_Obool),V_f_2)))
% 202.84/202.73 => ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),V_f_2)
% 202.84/202.73 => ( ! [B_x] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(T_b,tc_HOL_Obool),V_f_2)),hAPP(c_Set_OCollect(T_b),V_P_2)))))
% 202.84/202.73 => hBOOL(hAPP(V_P_2,B_x)) )
% 202.84/202.73 => hBOOL(hAPP(V_P_2,V_a_2)) ) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_def__lfp__induct__set,axiom,
% 202.84/202.73 ! [V_P_2,V_a_2,V_f_2,T_b,V_A_2] :
% 202.84/202.73 ( V_A_2 = c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(T_b,tc_HOL_Obool),V_f_2)
% 202.84/202.73 => ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),V_f_2)
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 202.84/202.73 => ( ! [B_x] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_b),V_P_2)))))
% 202.84/202.73 => hBOOL(hAPP(V_P_2,B_x)) )
% 202.84/202.73 => hBOOL(hAPP(V_P_2,V_a_2)) ) ) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_lfp__induct2,axiom,
% 202.84/202.73 ! [V_P_2,V_f_2,V_b_2,V_a_2,T_c,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),V_f_2)))
% 202.84/202.73 => ( c_Orderings_Oorder__class_Omono(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),V_f_2)
% 202.84/202.73 => ( ! [B_a,B_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b)),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),V_f_2)),hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_P_2))))))
% 202.84/202.73 => hBOOL(hAPP(hAPP(V_P_2,B_a),B_b)) )
% 202.84/202.73 => hBOOL(hAPP(hAPP(V_P_2,V_a_2),V_b_2)) ) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_wf__no__infinite__down__chainE,axiom,
% 202.84/202.73 ! [V_f_2,V_r_2,T_b] :
% 202.84/202.73 ( c_Wellfounded_Owf(T_b,V_r_2)
% 202.84/202.73 => ~ ! [B_k] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(V_f_2,hAPP(c_Nat_OSuc,B_k))),hAPP(V_f_2,B_k))),V_r_2)) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_iterate_Osimps,axiom,
% 202.84/202.73 ! [V_x_2,V_f_2,T_b,T_c,V_k_2] :
% 202.84/202.73 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 202.84/202.73 => hAPP(c_Random_Oiterate(T_c,T_b,V_k_2,V_f_2),V_x_2) = hAPP(c_Product__Type_OPair(T_c,T_b),V_x_2) )
% 202.84/202.73 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 202.84/202.73 => hAPP(c_Random_Oiterate(T_c,T_b,V_k_2,V_f_2),V_x_2) = hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_c,T_b,tc_prod(T_c,T_b)),hAPP(V_f_2,V_x_2)),c_Random_Oiterate(T_c,T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_k_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)),V_f_2)) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_scomp__unfold,axiom,
% 202.84/202.73 ! [V_x_2,V_g_2,V_f_2,T_b,T_e,T_d,T_c] : hAPP(hAPP(hAPP(c_Product__Type_Oscomp(T_c,T_d,T_e,T_b),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_d,T_e),hAPP(V_f_2,V_x_2))),hAPP(c_Product__Type_Osnd(T_d,T_e),hAPP(V_f_2,V_x_2))) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Pair__scomp,axiom,
% 202.84/202.73 ! [V_f_2,V_x_2,T_c,T_d,T_b] : hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_d,T_b,T_c),hAPP(c_Product__Type_OPair(T_d,T_b),V_x_2)),V_f_2) = hAPP(V_f_2,V_x_2) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_scomp__scomp,axiom,
% 202.84/202.73 ! [V_h_2,V_g_2,V_f_2,T_g,T_f,T_c,T_e,T_d,T_b] : hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_d,T_e,T_c),hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_f,T_g,tc_prod(T_d,T_e)),V_f_2),V_g_2)),V_h_2) = hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_f,T_g,T_c),V_f_2),hAPP(hAPP(c_COMBC(T_f,tc_fun(T_d,tc_fun(T_e,T_c)),tc_fun(T_g,T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_g,tc_prod(T_d,T_e)),tc_fun(tc_fun(T_d,tc_fun(T_e,T_c)),tc_fun(T_g,T_c)),T_f),c_Product__Type_Oscomp(T_g,T_d,T_e,T_c)),V_g_2)),V_h_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_scomp__Pair,axiom,
% 202.84/202.73 ! [V_x_2,T_d,T_c,T_b] : hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_c,T_d,tc_prod(T_c,T_d)),V_x_2),c_Product__Type_OPair(T_c,T_d)) = V_x_2 ).
% 202.84/202.73
% 202.84/202.73 fof(fact_scomp__apply,axiom,
% 202.84/202.73 ! [V_x_2,V_g_2,V_f_2,T_b,T_e,T_d,T_c] : hAPP(hAPP(hAPP(c_Product__Type_Oscomp(T_c,T_d,T_e,T_b),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,T_b),V_g_2),hAPP(V_f_2,V_x_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_scomp__def,axiom,
% 202.84/202.73 ! [V_x_2,V_g_2,V_f_2,T_b,T_e,T_d,T_c] : hAPP(hAPP(hAPP(c_Product__Type_Oscomp(T_c,T_d,T_e,T_b),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,T_b),V_g_2),hAPP(V_f_2,V_x_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_less__eq,axiom,
% 202.84/202.73 ! [V_n_2,V_m_2] :
% 202.84/202.73 ( 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)))
% 202.84/202.73 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_wf__eq__minimal,axiom,
% 202.84/202.73 ! [V_r_2,T_b] :
% 202.84/202.73 ( c_Wellfounded_Owf(T_b,V_r_2)
% 202.84/202.73 <=> ! [B_Q] :
% 202.84/202.73 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_Q))
% 202.84/202.73 => ? [B_x] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_Q))
% 202.84/202.73 & ! [B_y] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),B_x)),V_r_2))
% 202.84/202.73 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_y),B_Q)) ) ) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_wf__trancl,axiom,
% 202.84/202.73 ! [V_r_2,T_b] :
% 202.84/202.73 ( c_Wellfounded_Owf(T_b,V_r_2)
% 202.84/202.73 => c_Wellfounded_Owf(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_less__than__def,axiom,
% 202.84/202.73 c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_acyclic__def,axiom,
% 202.84/202.73 ! [V_r_2,T_b] :
% 202.84/202.73 ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 202.84/202.73 <=> ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_trancl_Or__into__trancl,axiom,
% 202.84/202.73 ! [V_r_2,V_b_2,V_a_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_trancl__subset__Field2,axiom,
% 202.84/202.73 ! [V_r_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),hAPP(c_Relation_OField(T_b),V_r_2)),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_Relation_OField(T_b),V_r_2))))) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_r__into__trancl_H,axiom,
% 202.84/202.73 ! [V_r_2,V_p_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),V_r_2))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_trancl__empty,axiom,
% 202.84/202.73 ! [T_b] : c_Transitive__Closure_Otrancl(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_trancl__domain,axiom,
% 202.84/202.73 ! [V_r_2,T_b] : hAPP(c_Relation_ODomain(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)) = hAPP(c_Relation_ODomain(T_b,T_b),V_r_2) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_trancl__range,axiom,
% 202.84/202.73 ! [V_r_2,T_b] : hAPP(c_Relation_ORange(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)) = hAPP(c_Relation_ORange(T_b,T_b),V_r_2) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_finite__trancl,axiom,
% 202.84/202.73 ! [V_r_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 202.84/202.73 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_r__r__into__trancl,axiom,
% 202.84/202.73 ! [V_c_2,V_R_2,V_b_2,V_a_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_R_2))
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),V_R_2))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2))) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_trancl__into__trancl2,axiom,
% 202.84/202.73 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Transitive__Closure_Otrancl__into__trancl,axiom,
% 202.84/202.73 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),V_r_2))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_trancl__trans,axiom,
% 202.84/202.73 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_trancl__mono,axiom,
% 202.84/202.73 ! [V_s_2,V_r_2,V_p_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_s_2))) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_trancl__unfold,axiom,
% 202.84/202.73 ! [V_r_2,T_b] : c_Transitive__Closure_Otrancl(T_b,V_r_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)),V_r_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_trancl__subset__Sigma,axiom,
% 202.84/202.73 ! [V_A_2,V_r_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2))))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2)))) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_trancl__Int__subset,axiom,
% 202.84/202.73 ! [V_s_2,V_r_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),V_s_2)),V_r_2)),V_s_2))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),V_s_2)) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_trancl__insert,axiom,
% 202.84/202.73 ! [V_r_2,V_x_2,V_y_2,T_b] : c_Transitive__Closure_Otrancl(T_b,hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_x_2)),V_r_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b))),hAPP(hAPP(c_COMBC(T_b,T_b,tc_prod(T_b,T_b)),c_Product__Type_OPair(T_b,T_b)),V_y_2))),c_Transitive__Closure_Ortrancl(T_b,V_r_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b))),hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2))),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))))) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_reflcl__set__eq,axiom,
% 202.84/202.73 ! [V_y_2,V_x_2,V_r_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_r_2)),c_fequal),V_x_2),V_y_2))
% 202.84/202.73 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b)))) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_r__into__rtrancl,axiom,
% 202.84/202.73 ! [V_r_2,V_p_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),V_r_2))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_rtrancl_Ortrancl__refl,axiom,
% 202.84/202.73 ! [V_r_2,V_a_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_IdI,axiom,
% 202.84/202.73 ! [V_a_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_2)),c_Relation_OId(T_b))) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_trancl__into__rtrancl,axiom,
% 202.84/202.73 ! [V_r_2,V_b_2,V_a_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_trancl__unfold__right,axiom,
% 202.84/202.73 ! [V_r_2,T_b] : c_Transitive__Closure_Otrancl(T_b,V_r_2) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_r_2) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_trancl__unfold__left,axiom,
% 202.84/202.73 ! [V_r_2,T_b] : c_Transitive__Closure_Otrancl(T_b,V_r_2) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_r_2),c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_trancl__reflcl,axiom,
% 202.84/202.73 ! [V_r_2,T_b] : c_Transitive__Closure_Otrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) = c_Transitive__Closure_Ortrancl(T_b,V_r_2) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_reflcl__trancl,axiom,
% 202.84/202.73 ! [V_r_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),c_Relation_OId(T_b)) = c_Transitive__Closure_Ortrancl(T_b,V_r_2) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_trancl__rtrancl__absorb,axiom,
% 202.84/202.73 ! [V_R_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,c_Transitive__Closure_Otrancl(T_b,V_R_2)) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_rtrancl__trancl__absorb,axiom,
% 202.84/202.73 ! [V_R_2,T_b] : c_Transitive__Closure_Otrancl(T_b,c_Transitive__Closure_Ortrancl(T_b,V_R_2)) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Domain__rtrancl,axiom,
% 202.84/202.73 ! [V_R_2,T_b] : hAPP(c_Relation_ODomain(T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_R_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Range__rtrancl,axiom,
% 202.84/202.73 ! [V_R_2,T_b] : hAPP(c_Relation_ORange(T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_R_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_rtrancl__r__diff__Id,axiom,
% 202.84/202.73 ! [V_r_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) = c_Transitive__Closure_Ortrancl(T_b,V_r_2) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_refl__rtrancl,axiom,
% 202.84/202.73 ! [V_r_2,T_b] : c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_rtrancl__idemp,axiom,
% 202.84/202.73 ! [V_r_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) = c_Transitive__Closure_Ortrancl(T_b,V_r_2) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_converse__rtrancl__into__rtrancl,axiom,
% 202.84/202.73 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_rtrancl_Ortrancl__into__rtrancl,axiom,
% 202.84/202.73 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),V_r_2))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_rtrancl__trans,axiom,
% 202.84/202.73 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_in__rtrancl__UnI,axiom,
% 202.84/202.73 ! [V_S_2,V_R_2,V_x_2,T_b] :
% 202.84/202.73 ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 202.84/202.73 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,V_S_2))) )
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)))) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_rtrancl__mono,axiom,
% 202.84/202.73 ! [V_s_2,V_r_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),c_Transitive__Closure_Ortrancl(T_b,V_s_2))) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_rtrancl__subset,axiom,
% 202.84/202.73 ! [V_S_2,V_R_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2))
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_S_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 202.84/202.73 => c_Transitive__Closure_Ortrancl(T_b,V_S_2) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_rtrancl__subset__rtrancl,axiom,
% 202.84/202.73 ! [V_s_2,V_r_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Transitive__Closure_Ortrancl(T_b,V_s_2)))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),c_Transitive__Closure_Ortrancl(T_b,V_s_2))) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_rtrancl__Un__subset,axiom,
% 202.84/202.73 ! [V_S_2,V_R_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)),c_Transitive__Closure_Ortrancl(T_b,V_S_2))),c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)))) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_rtrancl__reflcl__absorb,axiom,
% 202.84/202.73 ! [V_R_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)),c_Relation_OId(T_b)) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_rtrancl__Un__rtrancl,axiom,
% 202.84/202.73 ! [V_S_2,V_R_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)),c_Transitive__Closure_Ortrancl(T_b,V_S_2))) = c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_rtrancl__reflcl,axiom,
% 202.84/202.73 ! [V_R_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),c_Relation_OId(T_b))) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Image__closed__trancl,axiom,
% 202.84/202.73 ! [V_X_2,V_r_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),V_X_2)),V_X_2))
% 202.84/202.73 => hAPP(c_Relation_OImage(T_b,T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_X_2) = V_X_2 ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_rtrancl__unfold,axiom,
% 202.84/202.73 ! [V_r_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,V_r_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Relation_OId(T_b)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_r_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_r__comp__rtrancl__eq,axiom,
% 202.84/202.73 ! [V_r_2,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_r_2),c_Transitive__Closure_Ortrancl(T_b,V_r_2)) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_r_2) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_rtrancl__idemp__self__comp,axiom,
% 202.84/202.73 ! [V_R_2,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_R_2)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_rtrancl__Int__subset,axiom,
% 202.84/202.73 ! [V_r_2,V_s_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Relation_OId(T_b)),V_s_2))
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_s_2)),V_r_2)),V_s_2))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_s_2)) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_rtrancl__empty,axiom,
% 202.84/202.73 ! [T_b] : c_Transitive__Closure_Ortrancl(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) = c_Relation_OId(T_b) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Id__O__R,axiom,
% 202.84/202.73 ! [V_R_2,T_c,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_c),c_Relation_OId(T_b)),V_R_2) = V_R_2 ).
% 202.84/202.73
% 202.84/202.73 fof(fact_R__O__Id,axiom,
% 202.84/202.73 ! [V_R_2,T_c,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_c),V_R_2),c_Relation_OId(T_c)) = V_R_2 ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Image__Id,axiom,
% 202.84/202.73 ! [V_A_2,T_b] : hAPP(c_Relation_OImage(T_b,T_b,c_Relation_OId(T_b)),V_A_2) = V_A_2 ).
% 202.84/202.73
% 202.84/202.73 fof(fact_pair__in__Id__conv,axiom,
% 202.84/202.73 ! [V_b_2,V_a_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Relation_OId(T_b)))
% 202.84/202.73 <=> V_a_2 = V_b_2 ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_rtrancl__eq__or__trancl,axiom,
% 202.84/202.73 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 202.84/202.73 <=> ( V_x_2 = V_y_2
% 202.84/202.73 | ( V_x_2 != V_y_2
% 202.84/202.73 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2))) ) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_rtrancl__into__trancl2,axiom,
% 202.84/202.73 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_rtranclD,axiom,
% 202.84/202.73 ! [V_R_2,V_b_2,V_a_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 202.84/202.73 => ( V_a_2 = V_b_2
% 202.84/202.73 | ( V_a_2 != V_b_2
% 202.84/202.73 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2))) ) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_rtrancl__into__trancl1,axiom,
% 202.84/202.73 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),V_r_2))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_trancl__rtrancl__trancl,axiom,
% 202.84/202.73 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_rtrancl__trancl__trancl,axiom,
% 202.84/202.73 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_z_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Domain__Id,axiom,
% 202.84/202.73 ! [T_b] : hAPP(c_Relation_ODomain(T_b,T_b),c_Relation_OId(T_b)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Range__Id,axiom,
% 202.84/202.73 ! [T_b] : hAPP(c_Relation_ORange(T_b,T_b),c_Relation_OId(T_b)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_refl__Id,axiom,
% 202.84/202.73 ! [T_b] : c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Relation_OId(T_b)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_pair__leq__def,axiom,
% 202.84/202.73 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))) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Not__Domain__rtrancl,axiom,
% 202.84/202.73 ! [V_y_2,V_R_2,V_x_2,T_b] :
% 202.84/202.73 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ODomain(T_b,T_b),V_R_2)))
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 202.84/202.73 <=> V_x_2 = V_y_2 ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_acc__downwards__aux,axiom,
% 202.84/202.73 ! [V_r_2,V_a_2,V_b_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_a_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_acc__downwards,axiom,
% 202.84/202.73 ! [V_b_2,V_r_2,V_a_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_a_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_wf__insert,axiom,
% 202.84/202.73 ! [V_r_2,V_x_2,V_y_2,T_b] :
% 202.84/202.73 ( c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_x_2)),V_r_2))
% 202.84/202.73 <=> ( c_Wellfounded_Owf(T_b,V_r_2)
% 202.84/202.73 & ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_acyclic__insert,axiom,
% 202.84/202.73 ! [V_r_2,V_x_2,V_y_2,T_b] :
% 202.84/202.73 ( c_Wellfounded_Oacyclic(T_b,hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_x_2)),V_r_2))
% 202.84/202.73 <=> ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 202.84/202.73 & ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_refl__reflcl,axiom,
% 202.84/202.73 ! [V_r_2,T_b] : c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Id__def,axiom,
% 202.84/202.73 ! [T_b] : c_Relation_OId(T_b) = hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_prod(T_b,T_b)),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(tc_prod(T_b,T_b),tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_HOL_Obool)),tc_prod(T_b,T_b)),c_COMBB(tc_prod(T_b,T_b),tc_HOL_Obool,T_b)),c_fequal)),hAPP(hAPP(c_COMBS(T_b,T_b,tc_prod(T_b,T_b)),c_Product__Type_OPair(T_b,T_b)),c_COMBI(T_b))))) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_irrefl__diff__Id,axiom,
% 202.84/202.73 ! [V_r_2,T_b] : c_Relation_Oirrefl(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_pred__nat__trancl__eq__le,axiom,
% 202.84/202.73 ! [V_n_2,V_m_2] :
% 202.84/202.73 ( 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)))
% 202.84/202.73 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_trancl__subset__Sigma__aux,axiom,
% 202.84/202.73 ! [V_A_2,V_r_2,V_b_2,V_a_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2))))
% 202.84/202.73 => ( V_a_2 = V_b_2
% 202.84/202.73 | hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_irrefl__tranclI,axiom,
% 202.84/202.73 ! [V_x_2,V_r_2,T_b] :
% 202.84/202.73 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))
% 202.84/202.73 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_x_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_sequence__trans,axiom,
% 202.84/202.73 ! [V_k_2,V_i_2,V_r_2,V_f_2,T_b] :
% 202.84/202.73 ( ! [B_i] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(V_f_2,hAPP(c_Nat_OSuc,B_i))),hAPP(V_f_2,B_i))),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2))),hAPP(V_f_2,V_i_2))),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_rtrancl__converse,axiom,
% 202.84/202.73 ! [V_r_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) = hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_converse__Id,axiom,
% 202.84/202.73 ! [T_b] : hAPP(c_Relation_Oconverse(T_b,T_b),c_Relation_OId(T_b)) = c_Relation_OId(T_b) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_acyclic__converse,axiom,
% 202.84/202.73 ! [V_r_2,T_b] :
% 202.84/202.73 ( c_Wellfounded_Oacyclic(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 202.84/202.73 <=> c_Wellfounded_Oacyclic(T_b,V_r_2) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_converseD,axiom,
% 202.84/202.73 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_b_2),V_a_2)),V_r_2)) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_converseI,axiom,
% 202.84/202.73 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_r_2))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_b_2),V_a_2)),hAPP(c_Relation_Oconverse(T_b,T_c),V_r_2))) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_converse__iff,axiom,
% 202.84/202.73 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)))
% 202.84/202.73 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_b_2),V_a_2)),V_r_2)) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_refl__on__converse,axiom,
% 202.84/202.73 ! [V_r_2,V_A_2,T_b] :
% 202.84/202.73 ( c_Relation_Orefl__on(T_b,V_A_2,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 202.84/202.73 <=> c_Relation_Orefl__on(T_b,V_A_2,V_r_2) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_converse__Id__on,axiom,
% 202.84/202.73 ! [V_A_2,T_b] : hAPP(c_Relation_Oconverse(T_b,T_b),c_Relation_OId__on(T_b,V_A_2)) = c_Relation_OId__on(T_b,V_A_2) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_converse__inv__image,axiom,
% 202.84/202.73 ! [V_f_2,V_R_2,T_c,T_b] : hAPP(c_Relation_Oconverse(T_b,T_b),hAPP(hAPP(c_Relation_Oinv__image(T_c,T_b),V_R_2),V_f_2)) = hAPP(hAPP(c_Relation_Oinv__image(T_c,T_b),hAPP(c_Relation_Oconverse(T_c,T_c),V_R_2)),V_f_2) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_finite__converse,axiom,
% 202.84/202.73 ! [V_r_2,T_c,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)))
% 202.84/202.73 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_c,T_b)),V_r_2)) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_converse__Int,axiom,
% 202.84/202.73 ! [V_s_2,V_r_2,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)),hAPP(c_Relation_Oconverse(T_c,T_b),V_s_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_converse__converse,axiom,
% 202.84/202.73 ! [V_r_2,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(c_Relation_Oconverse(T_b,T_c),V_r_2)) = V_r_2 ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Field__converse,axiom,
% 202.84/202.73 ! [V_r_2,T_b] : hAPP(c_Relation_OField(T_b),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) = hAPP(c_Relation_OField(T_b),V_r_2) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_converse__INTER,axiom,
% 202.84/202.73 ! [V_r_2,V_S_2,T_d,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_S_2),V_r_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_S_2),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),T_d),c_Relation_Oconverse(T_c,T_b)),V_r_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_converse__Un,axiom,
% 202.84/202.73 ! [V_s_2,V_r_2,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)),hAPP(c_Relation_Oconverse(T_c,T_b),V_s_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_converse__rel__comp,axiom,
% 202.84/202.73 ! [V_s_2,V_r_2,T_d,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(hAPP(c_Relation_Orel__comp(T_c,T_d,T_b),V_r_2),V_s_2)) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),hAPP(c_Relation_Oconverse(T_d,T_b),V_s_2)),hAPP(c_Relation_Oconverse(T_c,T_d),V_r_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_converse__UNION,axiom,
% 202.84/202.73 ! [V_r_2,V_S_2,T_d,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_S_2),V_r_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_S_2),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),T_d),c_Relation_Oconverse(T_c,T_b)),V_r_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_trancl__converse,axiom,
% 202.84/202.73 ! [V_r_2,T_b] : c_Transitive__Closure_Otrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) = hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_wf__converse__trancl,axiom,
% 202.84/202.73 ! [V_r_2,T_b] :
% 202.84/202.73 ( c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 202.84/202.73 => c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_equiv__comp__eq,axiom,
% 202.84/202.73 ! [V_r_2,V_A_2,T_b] :
% 202.84/202.73 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 202.84/202.73 => hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)),V_r_2) = V_r_2 ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Range__converse,axiom,
% 202.84/202.73 ! [V_r_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),hAPP(c_Relation_Oconverse(T_b,T_c),V_r_2)) = hAPP(c_Relation_ODomain(T_b,T_c),V_r_2) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Domain__converse,axiom,
% 202.84/202.73 ! [V_r_2,T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)) = hAPP(c_Relation_ORange(T_c,T_b),V_r_2) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Range__def,axiom,
% 202.84/202.73 ! [V_r_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),V_r_2) = hAPP(c_Relation_ODomain(T_b,T_c),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_rtrancl__converseD,axiom,
% 202.84/202.73 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_x_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_rtrancl__converseI,axiom,
% 202.84/202.73 ! [V_r_2,V_x_2,V_y_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_x_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)))) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_trancl__converseD,axiom,
% 202.84/202.73 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)))) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_trancl__converseI,axiom,
% 202.84/202.73 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2))))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)))) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Image__subset__eq,axiom,
% 202.84/202.73 ! [V_B_2,V_A_2,V_r_2,T_c,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2)),V_B_2))
% 202.84/202.73 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2))))) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_refl__on__comp__subset,axiom,
% 202.84/202.73 ! [V_r_2,V_A_2,T_b] :
% 202.84/202.73 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)),V_r_2))) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_comp__equivI,axiom,
% 202.84/202.73 ! [V_A_2,V_r_2,T_b] :
% 202.84/202.73 ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)),V_r_2) = V_r_2
% 202.84/202.73 => ( hAPP(c_Relation_ODomain(T_b,T_b),V_r_2) = V_A_2
% 202.84/202.73 => c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_finite__acyclic__wf__converse,axiom,
% 202.84/202.73 ! [V_r_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 202.84/202.73 => ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 202.84/202.73 => c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_converse__def,axiom,
% 202.84/202.73 ! [V_r_2,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2) = hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_c,T_b)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_c,T_b),tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_c,T_b)))),hAPP(c_COMBC(T_c,T_b,tc_prod(T_c,T_b)),c_Product__Type_OPair(T_c,T_b))))),V_r_2))) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Image__INT__eq,axiom,
% 202.84/202.73 ! [V_B_2,T_d,V_A_2,V_r_2,T_c,T_b] :
% 202.84/202.73 ( c_Relation_Osingle__valued(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2))
% 202.84/202.73 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool))
% 202.84/202.73 => hAPP(c_Relation_OImage(T_c,T_b,V_r_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Relation_OImage(T_c,T_b,V_r_2)),V_B_2)) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_total__on__diff__Id,axiom,
% 202.84/202.73 ! [V_r_2,V_A_2,T_b] :
% 202.84/202.73 ( c_Relation_Ototal__on(T_b,V_A_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b)))
% 202.84/202.73 <=> c_Relation_Ototal__on(T_b,V_A_2,V_r_2) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_single__valued__Id,axiom,
% 202.84/202.73 ! [T_b] : c_Relation_Osingle__valued(T_b,T_b,c_Relation_OId(T_b)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_single__valued__subset,axiom,
% 202.84/202.73 ! [V_s_2,V_r_2,T_c,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_2),V_s_2))
% 202.84/202.73 => ( c_Relation_Osingle__valued(T_b,T_c,V_s_2)
% 202.84/202.73 => c_Relation_Osingle__valued(T_b,T_c,V_r_2) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_single__valued__rel__comp,axiom,
% 202.84/202.73 ! [V_s_2,T_d,V_r_2,T_c,T_b] :
% 202.84/202.73 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2)
% 202.84/202.73 => ( c_Relation_Osingle__valued(T_c,T_d,V_s_2)
% 202.84/202.73 => c_Relation_Osingle__valued(T_b,T_d,hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_2),V_s_2)) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_single__valued__Id__on,axiom,
% 202.84/202.73 ! [V_A_2,T_b] : c_Relation_Osingle__valued(T_b,T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_total__on__empty,axiom,
% 202.84/202.73 ! [V_r_2,T_b] : c_Relation_Ototal__on(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_r_2) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_total__on__converse,axiom,
% 202.84/202.73 ! [V_r_2,V_A_2,T_b] :
% 202.84/202.73 ( c_Relation_Ototal__on(T_b,V_A_2,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 202.84/202.73 <=> c_Relation_Ototal__on(T_b,V_A_2,V_r_2) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_single__valuedD,axiom,
% 202.84/202.73 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_c,T_b] :
% 202.84/202.73 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2)
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),V_r_2))
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_z_2)),V_r_2))
% 202.84/202.73 => V_y_2 = V_z_2 ) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_single__valued__def,axiom,
% 202.84/202.73 ! [V_r_2,T_c,T_b] :
% 202.84/202.73 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2)
% 202.84/202.73 <=> ! [B_x,B_y] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_y)),V_r_2))
% 202.84/202.73 => ! [B_z] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_z)),V_r_2))
% 202.84/202.73 => B_y = B_z ) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_total__on__def,axiom,
% 202.84/202.73 ! [V_r_2,V_A_2,T_b] :
% 202.84/202.73 ( c_Relation_Ototal__on(T_b,V_A_2,V_r_2)
% 202.84/202.73 <=> ! [B_x] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 202.84/202.73 => ! [B_xa] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 202.84/202.73 => ( B_x != B_xa
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_xa)),V_r_2))
% 202.84/202.73 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_xa),B_x)),V_r_2)) ) ) ) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_single__valued__confluent,axiom,
% 202.84/202.73 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_b] :
% 202.84/202.73 ( c_Relation_Osingle__valued(T_b,T_b,V_r_2)
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_z_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 202.84/202.73 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_z_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_Image__Int__eq,axiom,
% 202.84/202.73 ! [V_B_2,V_A_2,V_R_2,T_c,T_b] :
% 202.84/202.73 ( c_Relation_Osingle__valued(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_R_2))
% 202.84/202.73 => hAPP(c_Relation_OImage(T_c,T_b,V_R_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_B_2)) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_rtrancl__imp__UN__rel__pow,axiom,
% 202.84/202.73 ! [V_R_2,V_p_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2)))) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_acyclicI,axiom,
% 202.84/202.73 ! [V_r_2,T_b] :
% 202.84/202.73 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 202.84/202.73 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_single__valued__rel__pow,axiom,
% 202.84/202.73 ! [V_n_2,V_R_2,T_b] :
% 202.84/202.73 ( c_Relation_Osingle__valued(T_b,T_b,V_R_2)
% 202.84/202.73 => c_Relation_Osingle__valued(T_b,T_b,hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_comp__funpow,axiom,
% 202.84/202.73 ! [V_f_2,V_n_2,T_c,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_fun(T_b,T_c),tc_fun(T_b,T_c)),V_n_2),c_Fun_Ocomp(T_c,T_c,T_b,V_f_2)) = c_Fun_Ocomp(T_c,T_c,T_b,hAPP(hAPP(c_Nat_Ocompow(T_c,T_c),V_n_2),V_f_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_funpow__swap1,axiom,
% 202.84/202.73 ! [V_x_2,V_n_2,T_b,V_f_2] : hAPP(V_f_2,hAPP(hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_n_2),V_f_2),V_x_2)) = hAPP(hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_n_2),V_f_2),hAPP(V_f_2,V_x_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_funpow__mult,axiom,
% 202.84/202.73 ! [V_f_2,V_m_2,V_n_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_n_2),hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_m_2),V_f_2)) = hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2)),V_f_2) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_wf__exp,axiom,
% 202.84/202.73 ! [V_R_2,V_n_2,T_b] :
% 202.84/202.73 ( c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2))
% 202.84/202.73 => c_Wellfounded_Owf(T_b,V_R_2) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_rel__pow__commute,axiom,
% 202.84/202.73 ! [V_n_2,V_R_2,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)),V_R_2) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_rel__pow__1,axiom,
% 202.84/202.73 ! [V_R_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_R_2) = V_R_2 ).
% 202.84/202.73
% 202.84/202.73 fof(fact_rel__pow__imp__rtrancl,axiom,
% 202.84/202.73 ! [V_R_2,V_n_2,V_p_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_rtrancl__power,axiom,
% 202.84/202.73 ! [V_R_2,V_p_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 202.84/202.73 <=> ? [B_n] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),B_n),V_R_2))) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_relpow_Osimps_I2_J,axiom,
% 202.84/202.73 ! [V_R_2,V_n_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)),V_R_2) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_rel__pow__add,axiom,
% 202.84/202.73 ! [V_R_2,V_n_2,V_m_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2)),V_R_2) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_m_2),V_R_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_relpow_Osimps_I1_J,axiom,
% 202.84/202.73 ! [V_R_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_R_2) = c_Relation_OId(T_b) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_rel__pow__0__E,axiom,
% 202.84/202.73 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_R_2)))
% 202.84/202.73 => V_x_2 = V_y_2 ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_rel__pow__0__I,axiom,
% 202.84/202.73 ! [V_R_2,V_x_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_x_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_R_2))) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_rel__pow__Suc__I2,axiom,
% 202.84/202.73 ! [V_n_2,V_z_2,V_R_2,V_y_2,V_x_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_R_2))
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2))) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_rel__pow__Suc__I,axiom,
% 202.84/202.73 ! [V_z_2,V_R_2,V_n_2,V_y_2,V_x_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)))
% 202.84/202.73 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_z_2)),V_R_2))
% 202.84/202.73 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2))) ) ) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_funpow_Osimps_I2_J,axiom,
% 202.84/202.73 ! [V_f_2,V_n_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),hAPP(c_Nat_OSuc,V_n_2)),V_f_2) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,V_f_2),hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_n_2),V_f_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_funpow__add,axiom,
% 202.84/202.73 ! [V_f_2,V_n_2,V_m_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2)),V_f_2) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_m_2),V_f_2)),hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_n_2),V_f_2)) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_funpow_Osimps_I1_J,axiom,
% 202.84/202.73 ! [V_f_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_f_2) = c_Fun_Oid(T_b) ).
% 202.84/202.73
% 202.84/202.73 fof(fact_trancl__power,axiom,
% 202.84/202.73 ! [V_R_2,V_p_2,T_b] :
% 202.84/202.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_R_2)))
% 202.84/202.74 <=> ? [B_n] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n))
% 202.84/202.74 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),B_n),V_R_2))) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_rtrancl__is__UN__rel__pow,axiom,
% 202.84/202.74 ! [V_R_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,V_R_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_funpow__code__def,axiom,
% 202.84/202.74 ! [T_b] : c_Nat_Ofunpow(T_b) = c_Nat_Ocompow(T_b,T_b) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_rel__pow__E2,axiom,
% 202.84/202.74 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)))
% 202.84/202.74 => ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.84/202.74 => V_x_2 != V_z_2 )
% 202.84/202.74 => ~ ! [B_y,B_m] :
% 202.84/202.74 ( V_n_2 = hAPP(c_Nat_OSuc,B_m)
% 202.84/202.74 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),V_R_2))
% 202.84/202.74 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),B_m),V_R_2))) ) ) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_rel__pow__E,axiom,
% 202.84/202.74 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)))
% 202.84/202.74 => ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.84/202.74 => V_x_2 != V_z_2 )
% 202.84/202.74 => ~ ! [B_y,B_m] :
% 202.84/202.74 ( V_n_2 = hAPP(c_Nat_OSuc,B_m)
% 202.84/202.74 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),B_m),V_R_2)))
% 202.84/202.74 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),V_R_2)) ) ) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_rtrancl__Un__separator__converseE,axiom,
% 202.84/202.74 ! [V_Q_2,V_P_2,V_b_2,V_a_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_P_2),V_Q_2))))
% 202.84/202.74 => ( ! [B_x] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_P_2)))
% 202.84/202.74 => ! [B_y] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),B_x)),V_Q_2))
% 202.84/202.74 => B_y = B_x ) )
% 202.84/202.74 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_P_2))) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_rtrancl__Un__separatorE,axiom,
% 202.84/202.74 ! [V_Q_2,V_P_2,V_b_2,V_a_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_P_2),V_Q_2))))
% 202.84/202.74 => ( ! [B_x] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),B_x)),c_Transitive__Closure_Ortrancl(T_b,V_P_2)))
% 202.84/202.74 => ! [B_y] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_Q_2))
% 202.84/202.74 => B_x = B_y ) )
% 202.84/202.74 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_P_2))) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_rel__pow__Suc__D2,axiom,
% 202.84/202.74 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2)))
% 202.84/202.74 => ? [B_y] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),V_R_2))
% 202.84/202.74 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2))) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_rel__pow__Suc__E,axiom,
% 202.84/202.74 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2)))
% 202.84/202.74 => ~ ! [B_y] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)))
% 202.84/202.74 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),V_R_2)) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_rel__pow__Suc__E2,axiom,
% 202.84/202.74 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2)))
% 202.84/202.74 => ~ ! [B_y] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),V_R_2))
% 202.84/202.74 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2))) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_tranclD,axiom,
% 202.84/202.74 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2)))
% 202.84/202.74 => ? [B_z] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_z)),V_R_2))
% 202.84/202.74 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_z),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_tranclD2,axiom,
% 202.84/202.74 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2)))
% 202.84/202.74 => ? [B_z] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_z)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 202.84/202.74 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_z),V_y_2)),V_R_2)) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_IdE,axiom,
% 202.84/202.74 ! [V_p_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Relation_OId(T_b)))
% 202.84/202.74 => ~ ! [B_x] : V_p_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_transfer__nat__int__set__cong,axiom,
% 202.84/202.74 ! [V_P_H_2,V_P_2] :
% 202.84/202.74 ( ! [B_x] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 202.84/202.74 => ( hBOOL(hAPP(V_P_2,B_x))
% 202.84/202.74 <=> hBOOL(hAPP(V_P_H_2,B_x)) ) )
% 202.84/202.74 => 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)) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_Int__Collect__mono,axiom,
% 202.84/202.74 ! [V_Q_2,V_P_2,V_B_2,V_A_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 202.84/202.74 => ( ! [B_x] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 202.84/202.74 => ( hBOOL(hAPP(V_P_2,B_x))
% 202.84/202.74 => hBOOL(hAPP(V_Q_2,B_x)) ) )
% 202.84/202.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_b),V_P_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Set_OCollect(T_b),V_Q_2)))) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_converseE,axiom,
% 202.84/202.74 ! [V_r_2,V_yx_2,T_c,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),V_yx_2),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)))
% 202.84/202.74 => ~ ! [B_x,B_y] :
% 202.84/202.74 ( V_yx_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_y),B_x)
% 202.84/202.74 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),B_x),B_y)),V_r_2)) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_rel__compE,axiom,
% 202.84/202.74 ! [V_s_2,V_r_2,T_d,V_xz_2,T_c,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),V_xz_2),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_r_2),V_s_2)))
% 202.84/202.74 => ~ ! [B_x,B_y,B_z] :
% 202.84/202.74 ( V_xz_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_z)
% 202.84/202.74 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_d),B_x),B_y)),V_r_2))
% 202.84/202.74 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_d,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_d,T_c),B_y),B_z)),V_s_2)) ) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_Nitpick_Oplus__frac__def,axiom,
% 202.84/202.74 ! [V_r_2,V_q_2,T_b] : c_Nitpick_Oplus__frac(T_b,V_q_2,V_r_2) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_b),c_Nitpick_Oint__lcm(hAPP(c_Nitpick_Odenom(T_b),V_q_2),hAPP(c_Nitpick_Odenom(T_b),V_r_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,T_b),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,T_b),tc_Int_Oint),c_Nitpick_Ofrac(T_b)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_b),V_q_2))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint)),hAPP(c_Nitpick_Odenom(T_b),V_q_2))))),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_b),V_r_2))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint)),hAPP(c_Nitpick_Odenom(T_b),V_r_2)))))),c_COMBI(tc_Int_Oint))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_Nitpick_Otimes__frac__def,axiom,
% 202.84/202.74 ! [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))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_Nitpick_Oof__frac__def,axiom,
% 202.84/202.74 ! [V_q,T_a,T_b] :
% 202.84/202.74 ( ( class_Rings_Oinverse(T_b)
% 202.84/202.74 & class_Rings_Oring__1(T_b) )
% 202.84/202.74 => 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))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_Nitpick_Oinverse__frac__def,axiom,
% 202.84/202.74 ! [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)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_Nitpick_Ouminus__frac__def,axiom,
% 202.84/202.74 ! [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))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_Nitpick_Oless__frac__def,axiom,
% 202.84/202.74 ! [V_r_2,V_q_2,T_b] :
% 202.84/202.74 ( c_Nitpick_Oless__frac(T_b,V_q_2,V_r_2)
% 202.84/202.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_b),c_Nitpick_Oplus__frac(T_b,V_q_2,c_Nitpick_Ouminus__frac(T_b,V_r_2)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_Nitpick_Oless__eq__frac__def,axiom,
% 202.84/202.74 ! [V_r_2,V_q_2,T_b] :
% 202.84/202.74 ( c_Nitpick_Oless__eq__frac(T_b,V_q_2,V_r_2)
% 202.84/202.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_b),c_Nitpick_Oplus__frac(T_b,V_q_2,c_Nitpick_Ouminus__frac(T_b,V_r_2)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_Nitpick_Onum__def,axiom,
% 202.84/202.74 ! [T_b] : c_Nitpick_Onum(T_b) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint,T_b,c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint)),c_Nitpick_ORep__Frac(T_b)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_Nitpick_Odenom__def,axiom,
% 202.84/202.74 ! [T_b] : c_Nitpick_Odenom(T_b) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint,T_b,c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint)),c_Nitpick_ORep__Frac(T_b)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_internal__split__def,axiom,
% 202.84/202.74 ! [T_d,T_c,T_b] : c_Product__Type_Ointernal__split(T_b,T_c,T_d) = c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_bool_Osize_I2_J,axiom,
% 202.84/202.74 c_HOL_Obool_Obool__size(c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_internal__split__conv,axiom,
% 202.84/202.74 ! [V_b_2,V_a_2,V_c_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Ointernal__split(T_c,T_d,T_b),V_c_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)) = hAPP(hAPP(V_c_2,V_a_2),V_b_2) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_bool_Osize_I1_J,axiom,
% 202.84/202.74 c_HOL_Obool_Obool__size(c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_finite__less__ub,axiom,
% 202.84/202.74 ! [V_u_2,V_f_2] :
% 202.84/202.74 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_n),hAPP(V_f_2,B_n)))
% 202.84/202.74 => 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)))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_lenlex__def,axiom,
% 202.84/202.74 ! [V_r_2,T_b] : c_List_Olenlex(T_b,V_r_2) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat,tc_List_Olist(T_b)),tc_List_Olist(T_b)),c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_List_Olist(T_b),c_Wellfounded_Oless__than,c_List_Olex(T_b,V_r_2))),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_prod(tc_Nat_Onat,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_List_Olist(T_b),tc_prod(tc_Nat_Onat,tc_List_Olist(T_b))),tc_List_Olist(T_b)),c_Product__Type_OPair(tc_Nat_Onat,tc_List_Olist(T_b))),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),c_COMBI(tc_List_Olist(T_b)))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_lexn__length,axiom,
% 202.84/202.74 ! [V_n_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),hAPP(c_List_Olexn(T_b,V_r_2),V_n_2)))
% 202.84/202.74 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = V_n_2
% 202.84/202.74 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) = V_n_2 ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_neq__if__length__neq,axiom,
% 202.84/202.74 ! [V_ys,V_xs,T_a] :
% 202.84/202.74 ( 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)
% 202.84/202.74 => V_xs != V_ys ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_lenlex__conv,axiom,
% 202.84/202.74 ! [V_r_2,T_b] : c_List_Olenlex(T_b,V_r_2) = hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fdisj)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))))),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBC(tc_List_Olist(T_b),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_List_Olist(T_b),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_HOL_Obool)),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))))),c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b))))),c_List_Olex(T_b,V_r_2)))))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_length__sublist,axiom,
% 202.84/202.74 ! [V_I_2,V_xs_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Osublist(T_b,V_xs_2,V_I_2)) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),c_member(tc_Nat_Onat)),V_I_2)))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_lexn_Osimps_I2_J,axiom,
% 202.84/202.74 ! [V_n_2,V_r_2,T_b] : hAPP(c_List_Olexn(T_b,V_r_2),hAPP(c_Nat_OSuc,V_n_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_prod(tc_prod(T_b,tc_List_Olist(T_b)),tc_prod(T_b,tc_List_Olist(T_b))),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_Product__Type_Omap__pair(tc_prod(T_b,tc_List_Olist(T_b)),tc_List_Olist(T_b),tc_prod(T_b,tc_List_Olist(T_b)),tc_List_Olist(T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)))),c_Wellfounded_Olex__prod(T_b,tc_List_Olist(T_b),V_r_2,hAPP(c_List_Olexn(T_b,V_r_2),V_n_2)))),hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),hAPP(c_Nat_OSuc,V_n_2))))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),hAPP(c_Nat_OSuc,V_n_2)))))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_impossible__Cons,axiom,
% 202.84/202.74 ! [V_x,V_ys,V_xs,T_a] :
% 202.84/202.74 ( 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)))
% 202.84/202.74 => V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_ys) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_not__Cons__self,axiom,
% 202.84/202.74 ! [V_x,T_a,V_xs] : V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_not__Cons__self2,axiom,
% 202.84/202.74 ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) != V_xs ).
% 202.84/202.74
% 202.84/202.74 fof(fact_list_Oinject,axiom,
% 202.84/202.74 ! [V_list_H_2,V_a_H_2,V_list_2,V_a_2,T_b] :
% 202.84/202.74 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_2),V_list_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_H_2),V_list_H_2)
% 202.84/202.74 <=> ( V_a_2 = V_a_H_2
% 202.84/202.74 & V_list_2 = V_list_H_2 ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_list_Osize_I4_J,axiom,
% 202.84/202.74 ! [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))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_Cons__in__lex,axiom,
% 202.84/202.74 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))),c_List_Olex(T_b,V_r_2)))
% 202.84/202.74 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 202.84/202.74 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) )
% 202.84/202.74 | ( V_x_2 = V_y_2
% 202.84/202.74 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olex(T_b,V_r_2))) ) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_set__Cons__def,axiom,
% 202.84/202.74 ! [V_XS_2,V_A_2,T_b] : c_List_Oset__Cons(T_b,V_A_2,V_XS_2) = hAPP(c_Set_OCollect(tc_List_Olist(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_List_Olist(T_b)),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_List_Olist(T_b)))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),tc_List_Olist(T_b)),c_COMBS(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),T_b),c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),tc_List_Olist(T_b)),c_COMBB(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_List_Olist(T_b),tc_HOL_Obool,tc_List_Olist(T_b))),c_fequal))),c_List_Olist_OCons(T_b)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_List_Olist(T_b))),V_XS_2)))))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_pick_Osimps,axiom,
% 202.84/202.74 ! [V_xs,V_x,T_a,V_i] :
% 202.84/202.74 ( ( 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)))
% 202.84/202.74 => 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) )
% 202.84/202.74 & ( ~ 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)))
% 202.84/202.74 => 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))) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_select__weight__cons__zero,axiom,
% 202.84/202.74 ! [V_xs_2,V_x_2,T_b] : c_Random_Oselect__weight(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b)),hAPP(hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,T_b),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)),V_x_2)),V_xs_2)) = c_Random_Oselect__weight(T_b,V_xs_2) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_lexord__cons__cons,axiom,
% 202.84/202.74 ! [V_r_2,V_y_2,V_b_2,V_x_2,V_a_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_2),V_x_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_b_2),V_y_2))),c_List_Olexord(T_b,V_r_2)))
% 202.84/202.74 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 202.84/202.74 | ( V_a_2 = V_b_2
% 202.84/202.74 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olexord(T_b,V_r_2))) ) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_lexord__lex,axiom,
% 202.84/202.74 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olex(T_b,V_r_2)))
% 202.84/202.74 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olexord(T_b,V_r_2)))
% 202.84/202.74 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_x_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_y_2) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_rtrancl__listrel1__ConsI2,axiom,
% 202.84/202.74 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 202.84/202.74 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2))))
% 202.84/202.74 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_list_Osize_I2_J,axiom,
% 202.84/202.74 ! [V_list_2,V_a_2,V_fa_2,T_b] : c_List_Olist_Olist__size(T_b,V_fa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_2),V_list_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(V_fa_2,V_a_2)),c_List_Olist_Olist__size(T_b,V_fa_2,V_list_2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_Cons__acc__listrel1I,axiom,
% 202.84/202.74 ! [V_xs_2,V_r_2,V_x_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 202.84/202.74 => ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_Wellfounded_Oacc(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2))))
% 202.84/202.74 => hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),c_Wellfounded_Oacc(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_listrel1__mono,axiom,
% 202.84/202.74 ! [V_s_2,V_r_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 202.84/202.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel1(T_b,V_r_2)),c_List_Olistrel1(T_b,V_s_2))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_listrel1__converse,axiom,
% 202.84/202.74 ! [V_r_2,T_b] : c_List_Olistrel1(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) = hAPP(c_Relation_Oconverse(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olistrel1(T_b,V_r_2)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_listrel1__rtrancl__subset__rtrancl__listrel1,axiom,
% 202.84/202.74 ! [V_r_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel1(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2))),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_rtrancl__listrel1__ConsI1,axiom,
% 202.84/202.74 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2))))
% 202.84/202.74 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_ys_2))),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_listrel1I2,axiom,
% 202.84/202.74 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2)))
% 202.84/202.74 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_ys_2))),c_List_Olistrel1(T_b,V_r_2))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_rtrancl__listrel1__eq__len,axiom,
% 202.84/202.74 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2))))
% 202.84/202.74 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_x_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_y_2) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_listrel1__eq__len,axiom,
% 202.84/202.74 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2)))
% 202.84/202.74 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_in__listrel1__converse,axiom,
% 202.84/202.74 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olistrel1(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))))
% 202.84/202.74 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olistrel1(T_b,V_r_2)))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_Cons__listrel1__Cons,axiom,
% 202.84/202.74 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))),c_List_Olistrel1(T_b,V_r_2)))
% 202.84/202.74 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 202.84/202.74 & V_xs_2 = V_ys_2 )
% 202.84/202.74 | ( V_x_2 = V_y_2
% 202.84/202.74 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2))) ) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_listrel1I1,axiom,
% 202.84/202.74 ! [V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 202.84/202.74 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_xs_2))),c_List_Olistrel1(T_b,V_r_2))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_listrel__Cons,axiom,
% 202.84/202.74 ! [V_xs_2,V_x_2,V_r_2,T_b] : hAPP(c_Relation_OImage(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)),hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))) = c_List_Oset__Cons(T_b,hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),hAPP(c_Relation_OImage(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)),hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),V_xs_2),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_lexord__linear,axiom,
% 202.84/202.74 ! [V_y_2,V_x_2,V_r_2,T_b] :
% 202.84/202.74 ( ! [B_a,B_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_a),B_b)),V_r_2))
% 202.84/202.74 | B_a = B_b
% 202.84/202.74 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_b),B_a)),V_r_2)) )
% 202.84/202.74 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olexord(T_b,V_r_2)))
% 202.84/202.74 | V_x_2 = V_y_2
% 202.84/202.74 | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_y_2),V_x_2)),c_List_Olexord(T_b,V_r_2))) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_listrel__rtrancl__refl,axiom,
% 202.84/202.74 ! [V_r_2,V_xs_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_xs_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_listrel__mono,axiom,
% 202.84/202.74 ! [V_s_2,V_r_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 202.84/202.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel(T_b,V_r_2)),c_List_Olistrel(T_b,V_s_2))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_listrel__subset__rtrancl__listrel1,axiom,
% 202.84/202.74 ! [V_r_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel(T_b,V_r_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_listrel__eq__len,axiom,
% 202.84/202.74 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2)))
% 202.84/202.74 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_listrel__rtrancl__trans,axiom,
% 202.84/202.74 ! [V_zs_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2))))
% 202.84/202.74 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_ys_2),V_zs_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2))))
% 202.84/202.74 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_zs_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)))) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_listrel__rtrancl__eq__rtrancl__listrel1,axiom,
% 202.84/202.74 ! [V_r_2,T_b] : c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) = c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_listrel__reflcl__if__listrel1,axiom,
% 202.84/202.74 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2)))
% 202.84/202.74 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_listrel1__subset__listrel,axiom,
% 202.84/202.74 ! [V_r_H_2,V_r_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_r_H_2))
% 202.84/202.74 => ( c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_r_H_2)
% 202.84/202.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel1(T_b,V_r_2)),c_List_Olistrel(T_b,V_r_H_2))) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_rtrancl__listrel1__if__listrel,axiom,
% 202.84/202.74 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2)))
% 202.84/202.74 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_listrel_OCons,axiom,
% 202.84/202.74 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 202.84/202.74 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2)))
% 202.84/202.74 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))),c_List_Olistrel(T_b,V_r_2))) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_listrelp__listrel__eq,axiom,
% 202.84/202.74 ! [V_xa_2,V_x_2,V_r_2,T_b] :
% 202.84/202.74 ( c_List_Olistrelp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_r_2),V_x_2,V_xa_2)
% 202.84/202.74 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_xa_2)),c_List_Olistrel(T_b,V_r_2))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_listrel__Cons1,axiom,
% 202.84/202.74 ! [V_r_2,V_xs_2,V_ys_2,V_y_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)),V_xs_2)),c_List_Olistrel(T_b,V_r_2)))
% 202.84/202.74 => ~ ! [B_y,B_ys] :
% 202.84/202.74 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_y),B_ys)
% 202.84/202.74 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),B_y)),V_r_2))
% 202.84/202.74 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_ys_2),B_ys)),c_List_Olistrel(T_b,V_r_2))) ) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_listrelp_OCons,axiom,
% 202.84/202.74 ! [V_ys_2,V_xs_2,T_b,V_y_2,V_x_2,V_r_2] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2))
% 202.84/202.74 => ( c_List_Olistrelp(T_b,V_r_2,V_xs_2,V_ys_2)
% 202.84/202.74 => c_List_Olistrelp(T_b,V_r_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_listrelp_Oequations_I2_J,axiom,
% 202.84/202.74 ! [V_a4_2,V_a2_2,V_a3_2,V_a1_2,V_r_2,T_b] :
% 202.84/202.74 ( c_List_Olistrelp(T_b,V_r_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_a1_2),V_a3_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a2_2),V_a4_2))
% 202.84/202.74 <=> ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2))
% 202.84/202.74 & c_List_Olistrelp(T_b,V_r_2,V_a3_2,V_a4_2) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_listrel__Cons2,axiom,
% 202.84/202.74 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))),c_List_Olistrel(T_b,V_r_2)))
% 202.84/202.74 => ~ ! [B_x,B_xs] :
% 202.84/202.74 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_xs)
% 202.84/202.74 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),V_y_2)),V_r_2))
% 202.84/202.74 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),B_xs),V_ys_2)),c_List_Olistrel(T_b,V_r_2))) ) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_listrel__subset,axiom,
% 202.84/202.74 ! [V_A_2,V_r_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2))))
% 202.84/202.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel(T_b,V_r_2)),hAPP(hAPP(c_Product__Type_OSigma(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olists(T_b,V_A_2)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_List_Olist(T_b)),c_List_Olists(T_b,V_A_2))))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_lists__UNIV,axiom,
% 202.84/202.74 ! [T_b] : c_List_Olists(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_lists__mono,axiom,
% 202.84/202.74 ! [V_B_2,V_A_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 202.84/202.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),c_List_Olists(T_b,V_A_2)),c_List_Olists(T_b,V_B_2))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_equiv__listrel,axiom,
% 202.84/202.74 ! [V_r_2,V_A_2,T_b] :
% 202.84/202.74 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 202.84/202.74 => c_Equiv__Relations_Oequiv(tc_List_Olist(T_b),c_List_Olists(T_b,V_A_2),c_List_Olistrel(T_b,V_r_2)) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_listrel__refl__on,axiom,
% 202.84/202.74 ! [V_r_2,V_A_2,T_b] :
% 202.84/202.74 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 202.84/202.74 => c_Relation_Orefl__on(tc_List_Olist(T_b),c_List_Olists(T_b,V_A_2),c_List_Olistrel(T_b,V_r_2)) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_Cons__in__lists__iff,axiom,
% 202.84/202.74 ! [V_A_2,V_xs_2,V_x_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),c_List_Olists(T_b,V_A_2)))
% 202.84/202.74 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.84/202.74 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2))) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_lists__accD,axiom,
% 202.84/202.74 ! [V_r_2,V_xs_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,c_Wellfounded_Oacc(T_b,V_r_2))))
% 202.84/202.74 => hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_Wellfounded_Oacc(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_lists__accI,axiom,
% 202.84/202.74 ! [V_r_2,V_xs_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_Wellfounded_Oacc(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2))))
% 202.84/202.74 => hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,c_Wellfounded_Oacc(T_b,V_r_2)))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_listrel__iff__nth,axiom,
% 202.84/202.74 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2)))
% 202.84/202.74 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 202.84/202.74 & ! [B_n] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 202.84/202.74 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n)),hAPP(hAPP(c_List_Onth(T_b),V_ys_2),B_n))),V_r_2)) ) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_lexord__irreflexive,axiom,
% 202.84/202.74 ! [V_y_2,V_r_2,T_b] :
% 202.84/202.74 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2))
% 202.84/202.74 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_y_2),V_y_2)),c_List_Olexord(T_b,V_r_2))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_infinite__UNIV__listI,axiom,
% 202.84/202.74 ! [T_b] : ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_list__eq__iff__nth__eq,axiom,
% 202.84/202.74 ! [T_b,V_ys_2,V_xs_2] :
% 202.84/202.74 ( V_xs_2 = V_ys_2
% 202.84/202.74 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 202.84/202.74 & ! [B_i] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 202.84/202.74 => hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) = hAPP(hAPP(c_List_Onth(T_b),V_ys_2),B_i) ) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_nth__Cons__0,axiom,
% 202.84/202.74 ! [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 ).
% 202.84/202.74
% 202.84/202.74 fof(fact_nth__Cons__Suc,axiom,
% 202.84/202.74 ! [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) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_nth_Osimps,axiom,
% 202.84/202.74 ! [V_n_2,V_xs_2,V_x_2,T_b] : hAPP(hAPP(c_List_Onth(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_n_2) = c_Nat_Onat_Onat__case(T_b,V_x_2,hAPP(c_List_Onth(T_b),V_xs_2),V_n_2) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_nth__Cons_H,axiom,
% 202.84/202.74 ! [V_xs,V_x,T_a,V_n] :
% 202.84/202.74 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.84/202.74 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),V_n) = V_x )
% 202.84/202.74 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.84/202.74 => 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))) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_nth__Cons__number__of,axiom,
% 202.84/202.74 ! [V_xs,V_x,T_a,V_v] :
% 202.84/202.74 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.84/202.74 => 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 )
% 202.84/202.74 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.84/202.74 => 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))) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_lexord__take__index__conv,axiom,
% 202.84/202.74 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olexord(T_b,V_r_2)))
% 202.84/202.74 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_x_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_y_2)))
% 202.84/202.74 & hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_x_2)),V_y_2) = V_x_2 )
% 202.84/202.74 | ? [B_i] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_x_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_y_2))))
% 202.84/202.74 & hAPP(hAPP(c_List_Otake(T_b),B_i),V_x_2) = hAPP(hAPP(c_List_Otake(T_b),B_i),V_y_2)
% 202.84/202.74 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(hAPP(c_List_Onth(T_b),V_x_2),B_i)),hAPP(hAPP(c_List_Onth(T_b),V_y_2),B_i))),V_r_2)) ) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_set__sublist,axiom,
% 202.84/202.74 ! [V_I_2,V_xs_2,T_b] : hAPP(c_List_Oset(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2)) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_b),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Nat_Onat,T_b),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,T_b),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,tc_Nat_Onat)),c_fequal)),hAPP(c_List_Onth(T_b),V_xs_2))))),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),c_member(tc_Nat_Onat)),V_I_2))))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_finite__set,axiom,
% 202.84/202.74 ! [V_xs_2,T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_List_Oset(T_b),V_xs_2))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_set__subset__Cons,axiom,
% 202.84/202.74 ! [V_x_2,V_xs_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_take__all,axiom,
% 202.84/202.74 ! [V_n,V_xs,T_a] :
% 202.84/202.74 ( 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))
% 202.84/202.74 => hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs) = V_xs ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_set__take__subset,axiom,
% 202.84/202.74 ! [V_xs_2,V_n_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_set__take__subset__set__take,axiom,
% 202.84/202.74 ! [V_xs_2,T_b,V_n_2,V_m_2] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 202.84/202.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Otake(T_b),V_m_2),V_xs_2))),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2)))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_set__sublist__subset,axiom,
% 202.84/202.74 ! [V_I_2,V_xs_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_nth__take,axiom,
% 202.84/202.74 ! [V_xs,T_a,V_n,V_i] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n))
% 202.84/202.74 => 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) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_notin__set__sublistI,axiom,
% 202.84/202.74 ! [V_I_2,V_xs_2,V_x_2,T_b] :
% 202.84/202.74 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 202.84/202.74 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2)))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_in__set__takeD,axiom,
% 202.84/202.74 ! [V_xs_2,V_n_2,V_x_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2))))
% 202.84/202.74 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_in__set__sublistD,axiom,
% 202.84/202.74 ! [V_I_2,V_xs_2,V_x_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2))))
% 202.84/202.74 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_set__ConsD,axiom,
% 202.84/202.74 ! [V_xs_2,V_x_2,V_y_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))))
% 202.84/202.74 => ( V_y_2 = V_x_2
% 202.84/202.74 | hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_take__Suc__Cons,axiom,
% 202.84/202.74 ! [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)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_length__take,axiom,
% 202.84/202.74 ! [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) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_take__take,axiom,
% 202.84/202.74 ! [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) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_List_Oset_Osimps_I2_J,axiom,
% 202.84/202.74 ! [V_xs_2,V_x_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_sublist__upt__eq__take,axiom,
% 202.84/202.74 ! [V_n_2,V_l_2,T_b] : c_List_Osublist(T_b,V_l_2,hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2)) = hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_l_2) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_card__length,axiom,
% 202.84/202.74 ! [V_xs_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_List_Oset(T_b),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_all__set__conv__all__nth,axiom,
% 202.84/202.74 ! [V_P_2,V_xs_2,T_b] :
% 202.84/202.74 ( ! [B_x] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 202.84/202.74 => hBOOL(hAPP(V_P_2,B_x)) )
% 202.84/202.74 <=> ! [B_i] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 202.84/202.74 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_list__size__estimation,axiom,
% 202.84/202.74 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 202.84/202.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2)))
% 202.84/202.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y_2),c_List_Olist_Olist__size(T_b,V_f_2,V_xs_2))) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_list__size__estimation_H,axiom,
% 202.84/202.74 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 202.84/202.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2)))
% 202.84/202.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),c_List_Olist_Olist__size(T_b,V_f_2,V_xs_2))) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_in__lists__conv__set,axiom,
% 202.84/202.74 ! [V_A_2,V_xs_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2)))
% 202.84/202.74 <=> ! [B_x] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 202.84/202.74 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_length__pos__if__in__set,axiom,
% 202.84/202.74 ! [V_xs_2,V_x_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 202.84/202.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_in__set__conv__nth,axiom,
% 202.84/202.74 ! [V_xs_2,V_x_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 202.84/202.74 <=> ? [B_i] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 202.84/202.74 & hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) = V_x_2 ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_nth__mem,axiom,
% 202.84/202.74 ! [V_xs_2,T_b,V_n_2] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 202.84/202.74 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_n_2)),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_lists__eq__set,axiom,
% 202.84/202.74 ! [V_A_2,T_b] : c_List_Olists(T_b,V_A_2) = hAPP(c_Set_OCollect(tc_List_Olist(T_b)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),c_List_Oset(T_b))),V_A_2)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_set__conv__nth,axiom,
% 202.84/202.74 ! [V_xs_2,T_b] : hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_b),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Nat_Onat,T_b),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,T_b),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,tc_Nat_Onat)),c_fequal)),hAPP(c_List_Onth(T_b),V_xs_2))))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_finite__lists__length__eq,axiom,
% 202.84/202.74 ! [V_n_2,V_A_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.84/202.74 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),hAPP(c_Set_OCollect(tc_List_Olist(T_b)),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),c_List_Oset(T_b))),V_A_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),V_n_2))))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_finite__lists__length__le,axiom,
% 202.84/202.74 ! [V_n_2,V_A_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.84/202.74 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),hAPP(c_Set_OCollect(tc_List_Olist(T_b)),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),c_List_Oset(T_b))),V_A_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),V_n_2))))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_listrel__iff__zip,axiom,
% 202.84/202.74 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2)))
% 202.84/202.74 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 202.84/202.74 & ! [B_x] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),hAPP(c_List_Oset(tc_prod(T_b,T_b)),hAPP(hAPP(c_List_Ozip(T_b,T_b),V_xs_2),V_ys_2))))
% 202.84/202.74 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_r_2)),B_x)) ) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_set__zip,axiom,
% 202.84/202.74 ! [V_ys_2,V_xs_2,T_c,T_b] : hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) = hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_prod(T_b,T_c)),c_HOL_OEx(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_prod(T_b,T_c),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_prod(T_b,T_c)),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_prod(T_b,T_c)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),hAPP(hAPP(c_COMBC(tc_prod(T_b,T_c),tc_fun(tc_Nat_Onat,tc_prod(T_b,T_c)),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,tc_prod(T_b,T_c)),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_prod(T_b,T_c)),c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,tc_Nat_Onat)),c_fequal)),hAPP(hAPP(c_COMBS(tc_Nat_Onat,T_c,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_prod(T_b,T_c)),tc_Nat_Onat),c_Product__Type_OPair(T_b,T_c)),hAPP(c_List_Onth(T_b),V_xs_2))),hAPP(c_List_Onth(T_c),V_ys_2)))))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)))))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_take__zip,axiom,
% 202.84/202.74 ! [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)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_length__zip,axiom,
% 202.84/202.74 ! [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)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_zip__Cons__Cons,axiom,
% 202.84/202.74 ! [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)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_list__eq__iff__zip__eq,axiom,
% 202.84/202.74 ! [T_b,V_ys_2,V_xs_2] :
% 202.84/202.74 ( V_xs_2 = V_ys_2
% 202.84/202.74 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 202.84/202.74 & ! [B_x] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),hAPP(c_List_Oset(tc_prod(T_b,T_b)),hAPP(hAPP(c_List_Ozip(T_b,T_b),V_xs_2),V_ys_2))))
% 202.84/202.74 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),c_fequal),B_x)) ) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_in__set__zipE,axiom,
% 202.84/202.74 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2))))
% 202.84/202.74 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 202.84/202.74 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_List_Oset(T_c),V_ys_2))) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_set__zip__rightD,axiom,
% 202.84/202.74 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2))))
% 202.84/202.74 => hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_List_Oset(T_c),V_ys_2))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_set__zip__leftD,axiom,
% 202.84/202.74 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2))))
% 202.84/202.74 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_zip__same,axiom,
% 202.84/202.74 ! [V_xs_2,V_b_2,V_a_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),hAPP(c_List_Oset(tc_prod(T_b,T_b)),hAPP(hAPP(c_List_Ozip(T_b,T_b),V_xs_2),V_xs_2))))
% 202.84/202.74 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 202.84/202.74 & V_a_2 = V_b_2 ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_nth__zip,axiom,
% 202.84/202.74 ! [V_ys,T_b,V_xs,T_a,V_i] :
% 202.84/202.74 ( 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)))
% 202.84/202.74 => ( 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)))
% 202.84/202.74 => 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)) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_greaterThanLessThan__upto,axiom,
% 202.84/202.74 ! [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)))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_listsum__setsum__nth,axiom,
% 202.84/202.74 ! [V_xs_2,T_b] :
% 202.84/202.74 ( class_Groups_Ocomm__monoid__add(T_b)
% 202.84/202.74 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),V_xs_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(c_List_Onth(T_b),V_xs_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_atLeastAtMost__upto,axiom,
% 202.84/202.74 ! [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)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_set__upto,axiom,
% 202.84/202.74 ! [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) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_listsum__eq__0__nat__iff__nat,axiom,
% 202.84/202.74 ! [V_ns_2] :
% 202.84/202.74 ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),V_ns_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.84/202.74 <=> ! [B_x] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 202.84/202.74 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_elem__le__listsum__nat,axiom,
% 202.84/202.74 ! [V_ns,V_k] :
% 202.84/202.74 ( 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)))
% 202.84/202.74 => 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))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_listsum__simps_I2_J,axiom,
% 202.84/202.74 ! [V_xs,V_x,T_a] :
% 202.84/202.74 ( class_Groups_Omonoid__add(T_a)
% 202.84/202.74 => 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)) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_atLeastLessThan__upto,axiom,
% 202.84/202.74 ! [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)))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_greaterThanAtMost__upto,axiom,
% 202.84/202.74 ! [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)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_nat__list__def,axiom,
% 202.84/202.74 ! [V_l_2] :
% 202.84/202.74 ( c_List_Onat__list(V_l_2)
% 202.84/202.74 <=> c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint),V_l_2)) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_list__size__pointwise,axiom,
% 202.84/202.74 ! [V_g_2,V_f_2,V_xs_2,T_b] :
% 202.84/202.74 ( ! [B_x] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 202.84/202.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 202.84/202.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_List_Olist_Olist__size(T_b,V_f_2,V_xs_2)),c_List_Olist_Olist__size(T_b,V_g_2,V_xs_2))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_listsum__update__nat,axiom,
% 202.84/202.74 ! [V_n,V_ns,V_k] :
% 202.84/202.74 ( 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)))
% 202.84/202.74 => 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)) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_butlast__take,axiom,
% 202.84/202.74 ! [V_xs,T_a,V_n] :
% 202.84/202.74 ( 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)))
% 202.84/202.74 => 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) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_list__update__beyond,axiom,
% 202.84/202.74 ! [V_x,V_i,V_xs,T_a] :
% 202.84/202.74 ( 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))
% 202.84/202.74 => hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x) = V_xs ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_nth__list__update__neq,axiom,
% 202.84/202.74 ! [V_x,V_xs,T_a,V_j,V_i] :
% 202.84/202.74 ( V_i != V_j
% 202.84/202.74 => 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) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_list__update__id,axiom,
% 202.84/202.74 ! [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 ).
% 202.84/202.74
% 202.84/202.74 fof(fact_butlast__list__update,axiom,
% 202.84/202.74 ! [V_x,V_xs,T_a,V_k] :
% 202.84/202.74 ( ( 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))
% 202.84/202.74 => 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) )
% 202.84/202.74 & ( 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))
% 202.84/202.74 => 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) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_length__list__update,axiom,
% 202.84/202.74 ! [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) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_zip__update,axiom,
% 202.84/202.74 ! [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)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_update__zip,axiom,
% 202.84/202.74 ! [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))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_list__update__overwrite,axiom,
% 202.84/202.74 ! [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) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_list__update__swap,axiom,
% 202.84/202.74 ! [V_x_H,V_x,V_xs,T_a,V_i_H,V_i] :
% 202.84/202.74 ( V_i != V_i_H
% 202.84/202.74 => 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) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_list__update__code_I2_J,axiom,
% 202.84/202.74 ! [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) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_list__update__code_I3_J,axiom,
% 202.84/202.74 ! [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)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_list__update_Osimps_I2_J,axiom,
% 202.84/202.74 ! [V_v_2,V_i_2,V_xs_2,V_x_2,T_b] : hAPP(hAPP(c_List_Olist__update(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_i_2),V_v_2) = c_Nat_Onat_Onat__case(tc_List_Olist(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_v_2),V_xs_2),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_Nat_Onat),hAPP(c_List_Olist_OCons(T_b),V_x_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,T_b,tc_List_Olist(T_b)),c_List_Olist__update(T_b,V_xs_2)),V_v_2)),V_i_2) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_in__set__butlastD,axiom,
% 202.84/202.74 ! [V_xs_2,V_x_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_xs_2))))
% 202.84/202.74 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_set__update__subsetI,axiom,
% 202.84/202.74 ! [V_i_2,V_x_2,V_A_2,V_xs_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),V_A_2))
% 202.84/202.74 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.84/202.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2))),V_A_2)) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_set__update__subset__insert,axiom,
% 202.84/202.74 ! [V_x_2,V_i_2,V_xs_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2))),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_nth__list__update,axiom,
% 202.84/202.74 ! [V_x,V_j,V_xs,T_a,V_i] :
% 202.84/202.74 ( 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)))
% 202.84/202.74 => ( ( V_i = V_j
% 202.84/202.74 => 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 )
% 202.84/202.74 & ( V_i != V_j
% 202.84/202.74 => 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) ) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_list__update__same__conv,axiom,
% 202.84/202.74 ! [V_x_2,V_xs_2,T_b,V_i_2] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 202.84/202.74 => ( hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2) = V_xs_2
% 202.84/202.74 <=> hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_i_2) = V_x_2 ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_nth__list__update__eq,axiom,
% 202.84/202.74 ! [V_x,V_xs,T_a,V_i] :
% 202.84/202.74 ( 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)))
% 202.84/202.74 => 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 ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_take__butlast,axiom,
% 202.84/202.74 ! [V_xs,T_a,V_n] :
% 202.84/202.74 ( 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)))
% 202.84/202.74 => 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) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_length__butlast,axiom,
% 202.84/202.74 ! [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)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_set__update__memI,axiom,
% 202.84/202.74 ! [V_x_2,V_xs_2,T_b,V_n_2] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 202.84/202.74 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_n_2),V_x_2)))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_butlast__conv__take,axiom,
% 202.84/202.74 ! [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) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_listrel1__iff__update,axiom,
% 202.84/202.74 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2)))
% 202.84/202.74 <=> ? [B_y,B_n] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n)),B_y)),V_r_2))
% 202.84/202.74 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 202.84/202.74 & V_ys_2 = hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),B_n),B_y) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_distinct__list__update,axiom,
% 202.84/202.74 ! [V_i_2,V_a_2,V_xs_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 202.84/202.74 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_i_2)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 202.84/202.74 => hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_a_2))) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_distinct__upto,axiom,
% 202.84/202.74 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Int_Oint),c_List_Oupto(V_i,V_j))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_distinct__take,axiom,
% 202.84/202.74 ! [V_i,V_xs,T_a] :
% 202.84/202.74 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 202.84/202.74 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_distinct__sublistI,axiom,
% 202.84/202.74 ! [V_I_2,V_xs_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 202.84/202.74 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_distinct__zipI1,axiom,
% 202.84/202.74 ! [V_ys,T_b,V_xs,T_a] :
% 202.84/202.74 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 202.84/202.74 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_distinct__zipI2,axiom,
% 202.84/202.74 ! [V_xs,T_b,V_ys,T_a] :
% 202.84/202.74 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_ys))
% 202.84/202.74 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_b,T_a)),hAPP(hAPP(c_List_Ozip(T_b,T_a),V_xs),V_ys))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_distinct_Osimps_I2_J,axiom,
% 202.84/202.74 ! [V_xs_2,V_x_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)))
% 202.84/202.74 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 202.84/202.74 & hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_distinct__card,axiom,
% 202.84/202.74 ! [V_xs_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 202.84/202.74 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_card__distinct,axiom,
% 202.84/202.74 ! [V_xs_2,T_b] :
% 202.84/202.74 ( hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)
% 202.84/202.74 => hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_distinct__conv__nth,axiom,
% 202.84/202.74 ! [V_xs_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 202.84/202.74 <=> ! [B_i] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 202.84/202.74 => ! [B_j] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 202.84/202.74 => ( B_i != B_j
% 202.84/202.74 => hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) != hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_j) ) ) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_nth__eq__iff__index__eq,axiom,
% 202.84/202.74 ! [V_j_2,V_i_2,V_xs_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 202.84/202.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 202.84/202.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 202.84/202.74 => ( hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_i_2) = hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_j_2)
% 202.84/202.74 <=> V_i_2 = V_j_2 ) ) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_distinct__listsum__conv__Setsum,axiom,
% 202.84/202.74 ! [V_xs_2,T_b] :
% 202.84/202.74 ( class_Groups_Ocomm__monoid__add(T_b)
% 202.84/202.74 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 202.84/202.74 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),V_xs_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_b),c_COMBI(T_b)),hAPP(c_List_Oset(T_b),V_xs_2)) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_Nitpick_Ocard_H__def,axiom,
% 202.84/202.74 ! [V_A_2,T_b] :
% 202.84/202.74 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.84/202.74 => c_Nitpick_Ocard_H(T_b,V_A_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_Hilbert__Choice_OEps(tc_List_Olist(T_b),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_List_Oset(T_b))),V_A_2))),c_List_Odistinct(T_b)))) )
% 202.84/202.74 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.84/202.74 => c_Nitpick_Ocard_H(T_b,V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_nth__take__lemma,axiom,
% 202.84/202.74 ! [V_ys,V_xs,T_a,V_k] :
% 202.84/202.74 ( 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)))
% 202.84/202.74 => ( 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)))
% 202.84/202.74 => ( ! [B_i] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_k))
% 202.84/202.74 => hAPP(hAPP(c_List_Onth(T_a),V_xs),B_i) = hAPP(hAPP(c_List_Onth(T_a),V_ys),B_i) )
% 202.84/202.74 => hAPP(hAPP(c_List_Otake(T_a),V_k),V_xs) = hAPP(hAPP(c_List_Otake(T_a),V_k),V_ys) ) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_set__remove1__eq,axiom,
% 202.84/202.74 ! [V_x_2,V_xs_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 202.84/202.74 => hAPP(c_List_Oset(T_b),c_List_Oremove1(T_b,V_x_2,V_xs_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_take__Cons__number__of,axiom,
% 202.84/202.74 ! [V_xs,V_x,T_a,V_v] :
% 202.84/202.74 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.84/202.74 => 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) )
% 202.84/202.74 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.84/202.74 => 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)) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_lists_ONil,axiom,
% 202.84/202.74 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_List_Olists(T_b,V_A_2))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_listrel__Nil2,axiom,
% 202.84/202.74 ! [V_r_2,V_xs_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),c_List_Olist_ONil(T_b))),c_List_Olistrel(T_b,V_r_2)))
% 202.84/202.74 => V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_listrel__Nil1,axiom,
% 202.84/202.74 ! [V_r_2,V_xs_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_xs_2)),c_List_Olistrel(T_b,V_r_2)))
% 202.84/202.74 => V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_distinct__butlast,axiom,
% 202.84/202.74 ! [T_a,V_xs] :
% 202.84/202.74 ( V_xs != c_List_Olist_ONil(T_a)
% 202.84/202.74 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 202.84/202.74 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Obutlast(T_a,V_xs))) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_distinct__remove1,axiom,
% 202.84/202.74 ! [V_x,V_xs,T_a] :
% 202.84/202.74 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 202.84/202.74 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremove1(T_a,V_x,V_xs))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_distinct_Osimps_I1_J,axiom,
% 202.84/202.74 ! [T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Olist_ONil(T_a))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_butlast_Osimps_I1_J,axiom,
% 202.84/202.74 ! [T_a] : c_List_Obutlast(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_butlast_Osimps_I2_J,axiom,
% 202.84/202.74 ! [V_x,T_a,V_xs] :
% 202.84/202.74 ( ( V_xs = c_List_Olist_ONil(T_a)
% 202.84/202.74 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olist_ONil(T_a) )
% 202.84/202.74 & ( V_xs != c_List_Olist_ONil(T_a)
% 202.84/202.74 => 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)) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_list_Osimps_I2_J,axiom,
% 202.84/202.74 ! [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) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_list_Osimps_I3_J,axiom,
% 202.84/202.74 ! [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) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_remove1_Osimps_I2_J,axiom,
% 202.84/202.74 ! [V_xs,T_a,V_y,V_x] :
% 202.84/202.74 ( ( V_x = V_y
% 202.84/202.74 => c_List_Oremove1(T_a,V_x,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_xs)) = V_xs )
% 202.84/202.74 & ( V_x != V_y
% 202.84/202.74 => 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)) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_upto__empty,axiom,
% 202.84/202.74 ! [V_i,V_j] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j),V_i))
% 202.84/202.74 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_take__0,axiom,
% 202.84/202.74 ! [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) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_take__eq__Nil,axiom,
% 202.84/202.74 ! [V_xs_2,V_n_2,T_b] :
% 202.84/202.74 ( hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 202.84/202.74 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.84/202.74 | V_xs_2 = c_List_Olist_ONil(T_b) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_take__Nil,axiom,
% 202.84/202.74 ! [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) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_list_Osize_I1_J,axiom,
% 202.84/202.74 ! [V_fa_2,T_b] : c_List_Olist_Olist__size(T_b,V_fa_2,c_List_Olist_ONil(T_b)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_sublist__nil,axiom,
% 202.84/202.74 ! [V_A_2,T_b] : c_List_Osublist(T_b,c_List_Olist_ONil(T_b),V_A_2) = c_List_Olist_ONil(T_b) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_remove1__commute,axiom,
% 202.84/202.74 ! [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)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_remove1_Osimps_I1_J,axiom,
% 202.84/202.74 ! [V_x,T_a] : c_List_Oremove1(T_a,V_x,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_listrelp_Oequations_I1_J,axiom,
% 202.84/202.74 ! [V_r_2,T_b] : c_List_Olistrelp(T_b,V_r_2,c_List_Olist_ONil(T_b),c_List_Olist_ONil(T_b)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_listrelp_ONil,axiom,
% 202.84/202.74 ! [V_r_2,T_b] : c_List_Olistrelp(T_b,V_r_2,c_List_Olist_ONil(T_b),c_List_Olist_ONil(T_b)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_zip__Nil,axiom,
% 202.84/202.74 ! [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)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_zip_Osimps_I1_J,axiom,
% 202.84/202.74 ! [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)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_listsum__simps_I1_J,axiom,
% 202.84/202.74 ! [T_a] :
% 202.84/202.74 ( class_Groups_Omonoid__add(T_a)
% 202.84/202.74 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),c_List_Olist_ONil(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_list_Osize_I3_J,axiom,
% 202.84/202.74 ! [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) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_length__0__conv,axiom,
% 202.84/202.74 ! [V_xs_2,T_b] :
% 202.84/202.74 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.84/202.74 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_set__empty,axiom,
% 202.84/202.74 ! [V_xs_2,T_b] :
% 202.84/202.74 ( hAPP(c_List_Oset(T_b),V_xs_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.84/202.74 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_set__empty2,axiom,
% 202.84/202.74 ! [V_xs_2,T_b] :
% 202.84/202.74 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_List_Oset(T_b),V_xs_2)
% 202.84/202.74 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_List_Oset_Osimps_I1_J,axiom,
% 202.84/202.74 ! [T_b] : hAPP(c_List_Oset(T_b),c_List_Olist_ONil(T_b)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_list__update__code_I1_J,axiom,
% 202.84/202.74 ! [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) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_list__update_Osimps_I1_J,axiom,
% 202.84/202.74 ! [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) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_list__update__nonempty,axiom,
% 202.84/202.74 ! [V_x_2,V_k_2,V_xs_2,T_b] :
% 202.84/202.74 ( hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_k_2),V_x_2) = c_List_Olist_ONil(T_b)
% 202.84/202.74 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_remove1__idem,axiom,
% 202.84/202.74 ! [V_xs_2,V_x_2,T_b] :
% 202.84/202.74 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 202.84/202.74 => c_List_Oremove1(T_b,V_x_2,V_xs_2) = V_xs_2 ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_notin__set__remove1,axiom,
% 202.84/202.74 ! [V_y_2,V_xs_2,V_x_2,T_b] :
% 202.84/202.74 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 202.84/202.74 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Oremove1(T_b,V_y_2,V_xs_2)))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_in__set__remove1,axiom,
% 202.84/202.74 ! [V_xs_2,T_b,V_b_2,V_a_2] :
% 202.84/202.74 ( V_a_2 != V_b_2
% 202.84/202.74 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),c_List_Oremove1(T_b,V_b_2,V_xs_2))))
% 202.84/202.74 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_sublist__empty,axiom,
% 202.84/202.74 ! [V_xs_2,T_b] : c_List_Osublist(T_b,V_xs_2,c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) = c_List_Olist_ONil(T_b) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_set__remove1__subset,axiom,
% 202.84/202.74 ! [V_xs_2,V_x_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),c_List_Oremove1(T_b,V_x_2,V_xs_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_length__greater__0__conv,axiom,
% 202.84/202.74 ! [V_xs_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 202.84/202.74 <=> V_xs_2 != c_List_Olist_ONil(T_b) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_take__1__Cons,axiom,
% 202.84/202.74 ! [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)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_not__listrel1__Nil,axiom,
% 202.84/202.74 ! [V_r_2,V_xs_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),c_List_Olist_ONil(T_b))),c_List_Olistrel1(T_b,V_r_2))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_not__Nil__listrel1,axiom,
% 202.84/202.74 ! [V_r_2,V_xs_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_xs_2)),c_List_Olistrel1(T_b,V_r_2))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_listrel_ONil,axiom,
% 202.84/202.74 ! [V_r_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_List_Olist_ONil(T_b))),c_List_Olistrel(T_b,V_r_2))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_lexord__Nil__right,axiom,
% 202.84/202.74 ! [V_r_2,V_x_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),c_List_Olist_ONil(T_b))),c_List_Olexord(T_b,V_r_2))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_Nil2__notin__lex,axiom,
% 202.84/202.74 ! [V_r_2,V_xs_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),c_List_Olist_ONil(T_b))),c_List_Olex(T_b,V_r_2))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_Nil__notin__lex,axiom,
% 202.84/202.74 ! [V_r_2,V_ys_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_ys_2)),c_List_Olex(T_b,V_r_2))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_take__Cons,axiom,
% 202.84/202.74 ! [V_xs_2,V_x_2,V_n_2,T_b] : hAPP(hAPP(c_List_Otake(T_b),V_n_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_Nat_Onat_Onat__case(tc_List_Olist(T_b),c_List_Olist_ONil(T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_Nat_Onat),hAPP(c_List_Olist_OCons(T_b),V_x_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Otake(T_b)),V_xs_2)),V_n_2) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_upto_Osimps,axiom,
% 202.84/202.74 ! [V_j,V_i] :
% 202.84/202.74 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 202.84/202.74 => 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)) )
% 202.84/202.74 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 202.84/202.74 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_sublist__singleton,axiom,
% 202.84/202.74 ! [V_x_2,T_b,V_A_2] :
% 202.84/202.74 ( ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2))
% 202.84/202.74 => c_List_Osublist(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)),V_A_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) )
% 202.84/202.74 & ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2))
% 202.84/202.74 => c_List_Osublist(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)),V_A_2) = c_List_Olist_ONil(T_b) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_lists__empty,axiom,
% 202.84/202.74 ! [T_b] : c_List_Olists(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_take__Cons_H,axiom,
% 202.84/202.74 ! [V_xs,V_x,T_a,V_n] :
% 202.84/202.74 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.84/202.74 => 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) )
% 202.84/202.74 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.84/202.74 => 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)) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_upto__rec__number__of,axiom,
% 202.84/202.74 ! [V_n,V_m] :
% 202.84/202.74 ( ( 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)))
% 202.84/202.74 => 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))) )
% 202.84/202.74 & ( ~ 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)))
% 202.84/202.74 => 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) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_listrel__Nil,axiom,
% 202.84/202.74 ! [V_r_2,T_b] : hAPP(c_Relation_OImage(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)),hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_set__Cons__sing__Nil,axiom,
% 202.84/202.74 ! [V_A_2,T_b] : c_List_Oset__Cons(T_b,V_A_2,hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))) = hAPP(c_Set_Oimage(T_b,tc_List_Olist(T_b),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b))),V_A_2) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_length__remove1,axiom,
% 202.84/202.74 ! [V_xs_2,V_x_2,T_b] :
% 202.84/202.74 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 202.84/202.74 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oremove1(T_b,V_x_2,V_xs_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) )
% 202.84/202.74 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 202.84/202.74 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oremove1(T_b,V_x_2,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_upto_Opsimps,axiom,
% 202.84/202.74 ! [V_j_2,V_i_2] :
% 202.84/202.74 ( 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)))
% 202.84/202.74 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2))
% 202.84/202.74 => 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)) )
% 202.84/202.74 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2))
% 202.84/202.74 => c_List_Oupto(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Int_Oint) ) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_select,axiom,
% 202.84/202.74 ! [V_s_2,T_b,V_xs_2] :
% 202.84/202.74 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 202.84/202.74 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Product__Type_Ofst(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),hAPP(c_Random_Oselect(T_b,V_xs_2),V_s_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_listset_Osimps_I1_J,axiom,
% 202.84/202.74 ! [T_b] : c_List_Olistset(T_b,c_List_Olist_ONil(tc_fun(T_b,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_zip__Cons1,axiom,
% 202.84/202.74 ! [V_ys_2,V_xs_2,V_x_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_ys_2) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(T_b,T_c)),T_c,c_List_Olist_ONil(tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBC(T_c,tc_fun(tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_b,T_c)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_fun(tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_b,T_c)))),T_c),c_COMBB(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(T_c))),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c))),T_c),c_List_Olist_OCons(tc_prod(T_b,T_c))),hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2)))),hAPP(c_List_Ozip(T_b,T_c),V_xs_2))),V_ys_2) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_list_Osimps_I5_J,axiom,
% 202.84/202.74 ! [V_list_2,V_a_2,V_f2_2,V_f1_2,T_c,T_b] : hAPP(c_List_Olist_Olist__case(T_b,T_c,V_f1_2,V_f2_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_a_2),V_list_2)) = hAPP(hAPP(V_f2_2,V_a_2),V_list_2) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_list_Osimps_I4_J,axiom,
% 202.84/202.74 ! [V_f2_2,V_f1_2,T_c,T_b] : hAPP(c_List_Olist_Olist__case(T_b,T_c,V_f1_2,V_f2_2),c_List_Olist_ONil(T_c)) = V_f1_2 ).
% 202.84/202.74
% 202.84/202.74 fof(fact_listset_Osimps_I2_J,axiom,
% 202.84/202.74 ! [V_As_2,V_A_2,T_b] : c_List_Olistset(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_As_2)) = c_List_Oset__Cons(T_b,V_A_2,c_List_Olistset(T_b,V_As_2)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_zip__Cons,axiom,
% 202.84/202.74 ! [V_ys_2,V_y_2,V_xs_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(T_b,T_c)),T_b,c_List_Olist_ONil(tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_b,T_c)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_b,T_c)))),T_b),c_COMBB(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c))),T_b),c_List_Olist_OCons(tc_prod(T_b,T_c))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_prod(T_b,T_c)),c_Product__Type_OPair(T_b,T_c)),V_y_2)))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_b,T_c))),c_List_Ozip(T_b,T_c)),V_ys_2))),V_xs_2) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_sorted__list__of__set__remove,axiom,
% 202.84/202.74 ! [V_x_2,V_A_2,T_b] :
% 202.84/202.74 ( class_Orderings_Olinorder(T_b)
% 202.84/202.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.84/202.74 => c_List_Olinorder__class_Osorted__list__of__set(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = c_List_Oremove1(T_b,V_x_2,c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2)) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_upto_Opinduct,axiom,
% 202.84/202.74 ! [V_P_2,V_a1_2,V_a0_2] :
% 202.84/202.74 ( 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)))
% 202.84/202.74 => ( ! [B_i,B_j] :
% 202.84/202.74 ( 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)))
% 202.84/202.74 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_i),B_j))
% 202.84/202.74 => 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)) )
% 202.84/202.74 => hBOOL(hAPP(hAPP(V_P_2,B_i),B_j)) ) )
% 202.84/202.74 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_sorted__list__of__set__empty,axiom,
% 202.84/202.74 ! [T_b] :
% 202.84/202.74 ( class_Orderings_Olinorder(T_b)
% 202.84/202.74 => c_List_Olinorder__class_Osorted__list__of__set(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_List_Olist_ONil(T_b) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_anamorph_Osimps,axiom,
% 202.84/202.74 ! [V_x_2,V_f_2,T_b,T_c,V_k_2] :
% 202.84/202.74 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 202.84/202.74 => hAPP(hAPP(c_Lazy__Sequence_Oanamorph(T_c,T_b,V_f_2),V_k_2),V_x_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),T_c),c_List_Olist_ONil(T_b)),V_x_2) )
% 202.84/202.74 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 202.84/202.74 => hAPP(hAPP(c_Lazy__Sequence_Oanamorph(T_c,T_b,V_f_2),V_k_2),V_x_2) = c_Option_Ooption_Ooption__case(tc_prod(tc_List_Olist(T_b),T_c),tc_prod(T_b,T_c),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),T_c),c_List_Olist_ONil(T_b)),V_x_2),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_prod(tc_List_Olist(T_b),T_c)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c)),tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_List_Olist(T_b),T_c),tc_prod(tc_List_Olist(T_b),T_c)),tc_fun(tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c)),tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c))),T_b),c_COMBB(tc_prod(tc_List_Olist(T_b),T_c),tc_prod(tc_List_Olist(T_b),T_c),T_c)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c))),tc_fun(tc_prod(tc_List_Olist(T_b),T_c),tc_prod(tc_List_Olist(T_b),T_c)),T_b),c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),T_c,tc_prod(tc_List_Olist(T_b),T_c))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c))),T_b),hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c)),tc_List_Olist(T_b)),c_Product__Type_OPair(tc_List_Olist(T_b),T_c))),c_List_Olist_OCons(T_b))))),hAPP(c_Lazy__Sequence_Oanamorph(T_c,T_b,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_k_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))))),hAPP(V_f_2,V_x_2)) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_sublist__Cons,axiom,
% 202.84/202.74 ! [V_A_2,V_l_2,V_x_2,T_b] : c_List_Osublist(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_l_2),V_A_2) = hAPP(hAPP(c_List_Oappend(T_b),hAPP(hAPP(hAPP(c_If(tc_List_Olist(T_b)),hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b))),c_List_Olist_ONil(T_b))),c_List_Osublist(T_b,V_l_2,hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_Nat_Onat),c_member(tc_Nat_Onat)),c_Nat_OSuc)),V_A_2)))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_append__eq__Cons__conv,axiom,
% 202.84/202.74 ! [V_xs_2,V_x_2,V_zs_2,V_ys_2,T_b] :
% 202.84/202.74 ( hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),V_zs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)
% 202.84/202.74 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_b)
% 202.84/202.74 & V_zs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) )
% 202.84/202.74 | ? [B_ys_H] :
% 202.84/202.74 ( V_ys_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_ys_H)
% 202.84/202.74 & hAPP(hAPP(c_List_Oappend(T_b),B_ys_H),V_zs_2) = V_xs_2 ) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_Cons__eq__append__conv,axiom,
% 202.84/202.74 ! [V_zs_2,V_ys_2,V_xs_2,V_x_2,T_b] :
% 202.84/202.74 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) = hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),V_zs_2)
% 202.84/202.74 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_b)
% 202.84/202.74 & hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) = V_zs_2 )
% 202.84/202.74 | ? [B_ys_H] :
% 202.84/202.74 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_ys_H) = V_ys_2
% 202.84/202.74 & V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_ys_H),V_zs_2) ) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_append1__eq__conv,axiom,
% 202.84/202.74 ! [V_y_2,V_ys_2,V_x_2,V_xs_2,T_b] :
% 202.84/202.74 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b))) = hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),c_List_Olist_ONil(T_b)))
% 202.84/202.74 <=> ( V_xs_2 = V_ys_2
% 202.84/202.74 & V_x_2 = V_y_2 ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_append__Cons,axiom,
% 202.84/202.74 ! [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)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_Cons__eq__appendI,axiom,
% 202.84/202.74 ! [V_zs,V_xs,V_ys,V_xs1,V_x,T_a] :
% 202.84/202.74 ( hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs1) = V_ys
% 202.84/202.74 => ( V_xs = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_zs)
% 202.84/202.74 => hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),V_ys),V_zs) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_append__in__lists__conv,axiom,
% 202.84/202.74 ! [V_A_2,V_ys_2,V_xs_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)),c_List_Olists(T_b,V_A_2)))
% 202.84/202.74 <=> ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2)))
% 202.84/202.74 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_ys_2),c_List_Olists(T_b,V_A_2))) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_append__eq__appendI,axiom,
% 202.84/202.74 ! [V_us,V_ys,V_zs,V_xs1,V_xs,T_a] :
% 202.84/202.74 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_xs1) = V_zs
% 202.84/202.74 => ( V_ys = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_us)
% 202.84/202.74 => hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys) = hAPP(hAPP(c_List_Oappend(T_a),V_zs),V_us) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_append__same__eq,axiom,
% 202.84/202.74 ! [V_zs_2,V_xs_2,V_ys_2,T_b] :
% 202.84/202.74 ( hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),V_xs_2) = hAPP(hAPP(c_List_Oappend(T_b),V_zs_2),V_xs_2)
% 202.84/202.74 <=> V_ys_2 = V_zs_2 ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_same__append__eq,axiom,
% 202.84/202.74 ! [V_zs_2,V_ys_2,V_xs_2,T_b] :
% 202.84/202.74 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_zs_2)
% 202.84/202.74 <=> V_ys_2 = V_zs_2 ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_append__eq__append__conv2,axiom,
% 202.84/202.74 ! [V_tsa_2,V_zs_2,V_ys_2,V_xs_2,T_b] :
% 202.84/202.74 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = hAPP(hAPP(c_List_Oappend(T_b),V_zs_2),V_tsa_2)
% 202.84/202.74 <=> ? [B_us] :
% 202.84/202.74 ( ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_zs_2),B_us)
% 202.84/202.74 & hAPP(hAPP(c_List_Oappend(T_b),B_us),V_ys_2) = V_tsa_2 )
% 202.84/202.74 | ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),B_us) = V_zs_2
% 202.84/202.74 & V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),V_tsa_2) ) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_append__assoc,axiom,
% 202.84/202.74 ! [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)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_listsum__append,axiom,
% 202.84/202.74 ! [V_ys,V_xs,T_a] :
% 202.84/202.74 ( class_Groups_Omonoid__add(T_a)
% 202.84/202.74 => 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)) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_length__append,axiom,
% 202.84/202.74 ! [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)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_zip__append,axiom,
% 202.84/202.74 ! [V_vs,V_ys,V_us,T_b,V_xs,T_a] :
% 202.84/202.74 ( 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)
% 202.84/202.74 => ( 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)
% 202.84/202.74 => 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)) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_set__append,axiom,
% 202.84/202.74 ! [V_ys_2,V_xs_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_ys_2)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_append__Nil,axiom,
% 202.84/202.74 ! [V_ys,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) = V_ys ).
% 202.84/202.74
% 202.84/202.74 fof(fact_Nil__is__append__conv,axiom,
% 202.84/202.74 ! [V_ys_2,V_xs_2,T_b] :
% 202.84/202.74 ( c_List_Olist_ONil(T_b) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)
% 202.84/202.74 <=> ( V_xs_2 = c_List_Olist_ONil(T_b)
% 202.84/202.74 & V_ys_2 = c_List_Olist_ONil(T_b) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_append__Nil2,axiom,
% 202.84/202.74 ! [V_xs,T_a] : hAPP(hAPP(c_List_Oappend(T_a),V_xs),c_List_Olist_ONil(T_a)) = V_xs ).
% 202.84/202.74
% 202.84/202.74 fof(fact_self__append__conv,axiom,
% 202.84/202.74 ! [V_ys_2,T_b,V_xs_2] :
% 202.84/202.74 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)
% 202.84/202.74 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_self__append__conv2,axiom,
% 202.84/202.74 ! [V_xs_2,T_b,V_ys_2] :
% 202.84/202.74 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)
% 202.84/202.74 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_append__is__Nil__conv,axiom,
% 202.84/202.74 ! [V_ys_2,V_xs_2,T_b] :
% 202.84/202.74 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = c_List_Olist_ONil(T_b)
% 202.84/202.74 <=> ( V_xs_2 = c_List_Olist_ONil(T_b)
% 202.84/202.74 & V_ys_2 = c_List_Olist_ONil(T_b) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_append__self__conv,axiom,
% 202.84/202.74 ! [V_ys_2,V_xs_2,T_b] :
% 202.84/202.74 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_xs_2
% 202.84/202.74 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_append__self__conv2,axiom,
% 202.84/202.74 ! [V_ys_2,V_xs_2,T_b] :
% 202.84/202.74 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_ys_2
% 202.84/202.74 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_eq__Nil__appendI,axiom,
% 202.84/202.74 ! [T_a,V_ys,V_xs] :
% 202.84/202.74 ( V_xs = V_ys
% 202.84/202.74 => V_xs = hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_butlast__append,axiom,
% 202.84/202.74 ! [V_xs,T_a,V_ys] :
% 202.84/202.74 ( ( V_ys = c_List_Olist_ONil(T_a)
% 202.84/202.74 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Obutlast(T_a,V_xs) )
% 202.84/202.74 & ( V_ys != c_List_Olist_ONil(T_a)
% 202.84/202.74 => 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)) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_nth__append__length,axiom,
% 202.84/202.74 ! [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 ).
% 202.84/202.74
% 202.84/202.74 fof(fact_nth__append__length__plus,axiom,
% 202.84/202.74 ! [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) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_take__append,axiom,
% 202.84/202.74 ! [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)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_list__update__append1,axiom,
% 202.84/202.74 ! [V_x,V_ys,V_xs,T_a,V_i] :
% 202.84/202.74 ( 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)))
% 202.84/202.74 => 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) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_list__update__length,axiom,
% 202.84/202.74 ! [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)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_remove1__append,axiom,
% 202.84/202.74 ! [V_ys_2,V_xs_2,V_x_2,T_b] :
% 202.84/202.74 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 202.84/202.74 => c_List_Oremove1(T_b,V_x_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),c_List_Oremove1(T_b,V_x_2,V_xs_2)),V_ys_2) )
% 202.84/202.74 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 202.84/202.74 => c_List_Oremove1(T_b,V_x_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),c_List_Oremove1(T_b,V_x_2,V_ys_2)) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_in__set__butlast__appendI,axiom,
% 202.84/202.74 ! [V_ys_2,V_xs_2,V_x_2,T_b] :
% 202.84/202.74 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_xs_2))))
% 202.84/202.74 | hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_ys_2)))) )
% 202.84/202.74 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_butlast__snoc,axiom,
% 202.84/202.74 ! [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 ).
% 202.84/202.74
% 202.84/202.74 fof(fact_append__listrel1I,axiom,
% 202.84/202.74 ! [V_vs_2,V_us_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 202.84/202.74 ( ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2)))
% 202.84/202.74 & V_us_2 = V_vs_2 )
% 202.84/202.74 | ( V_xs_2 = V_ys_2
% 202.84/202.74 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_us_2),V_vs_2)),c_List_Olistrel1(T_b,V_r_2))) ) )
% 202.84/202.74 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_us_2)),hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),V_vs_2))),c_List_Olistrel1(T_b,V_r_2))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_lexord__append__leftI,axiom,
% 202.84/202.74 ! [V_x_2,V_r_2,V_v_2,V_u_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_u_2),V_v_2)),c_List_Olexord(T_b,V_r_2)))
% 202.84/202.74 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_u_2)),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_v_2))),c_List_Olexord(T_b,V_r_2))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_distinct__append,axiom,
% 202.84/202.74 ! [V_ys_2,V_xs_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)))
% 202.84/202.74 <=> ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 202.84/202.74 & hBOOL(hAPP(c_List_Odistinct(T_b),V_ys_2))
% 202.84/202.74 & hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_ys_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_nth__append,axiom,
% 202.84/202.74 ! [V_ys,V_xs,T_a,V_n] :
% 202.84/202.74 ( ( 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)))
% 202.84/202.74 => 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) )
% 202.84/202.74 & ( ~ 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)))
% 202.84/202.74 => 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))) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_list__update__append,axiom,
% 202.84/202.74 ! [V_x,V_ys,V_xs,T_a,V_n] :
% 202.84/202.74 ( ( 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)))
% 202.84/202.74 => 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) )
% 202.84/202.74 & ( ~ 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)))
% 202.84/202.74 => 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)) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_sublist__append,axiom,
% 202.84/202.74 ! [V_A_2,V_l_H_2,V_l_2,T_b] : c_List_Osublist(T_b,hAPP(hAPP(c_List_Oappend(T_b),V_l_2),V_l_H_2),V_A_2) = hAPP(hAPP(c_List_Oappend(T_b),c_List_Osublist(T_b,V_l_2,V_A_2)),c_List_Osublist(T_b,V_l_H_2,hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_Nat_Onat),c_member(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_l_2)))),V_A_2)))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_listrel1I,axiom,
% 202.84/202.74 ! [V_ys_2,V_vs_2,V_us_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 202.84/202.74 => ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_us_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_vs_2))
% 202.84/202.74 => ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),V_us_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_vs_2))
% 202.84/202.74 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2))) ) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_lexord__append__left__rightI,axiom,
% 202.84/202.74 ! [V_y_2,V_x_2,V_u_2,V_r_2,V_b_2,V_a_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 202.84/202.74 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_u_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_2),V_x_2))),hAPP(hAPP(c_List_Oappend(T_b),V_u_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_b_2),V_y_2)))),c_List_Olexord(T_b,V_r_2))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_take__Suc__conv__app__nth,axiom,
% 202.84/202.74 ! [V_xs,T_a,V_i] :
% 202.84/202.74 ( 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)))
% 202.84/202.74 => 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))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_snoc__listrel1__snoc__iff,axiom,
% 202.84/202.74 ! [V_r_2,V_y_2,V_ys_2,V_x_2,V_xs_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)))),hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),c_List_Olist_ONil(T_b))))),c_List_Olistrel1(T_b,V_r_2)))
% 202.84/202.74 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2)))
% 202.84/202.74 & V_x_2 = V_y_2 )
% 202.84/202.74 | ( V_xs_2 = V_ys_2
% 202.84/202.74 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) ) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_listrel1E,axiom,
% 202.84/202.74 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2)))
% 202.84/202.74 => ~ ! [B_x,B_y] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_r_2))
% 202.84/202.74 => ! [B_us,B_vs] :
% 202.84/202.74 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_vs))
% 202.84/202.74 => V_ys_2 != hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),B_y),B_vs)) ) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_lexord__append__leftD,axiom,
% 202.84/202.74 ! [V_r_2,V_v_2,V_u_2,V_x_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_u_2)),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_v_2))),c_List_Olexord(T_b,V_r_2)))
% 202.84/202.74 => ( ! [B_a] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_a),B_a)),V_r_2))
% 202.84/202.74 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_u_2),V_v_2)),c_List_Olexord(T_b,V_r_2))) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_rotate1__def,axiom,
% 202.84/202.74 ! [V_xs_2,T_b] : hAPP(c_List_Orotate1(T_b),V_xs_2) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(T_b),T_b,c_List_Olist_ONil(T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_b),hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Oappend(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b)))),V_xs_2) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_upd__conv__take__nth__drop,axiom,
% 202.84/202.74 ! [V_a,V_xs,T_a,V_i] :
% 202.84/202.74 ( 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)))
% 202.84/202.74 => 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))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_append__take__drop__id,axiom,
% 202.84/202.74 ! [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 ).
% 202.84/202.74
% 202.84/202.74 fof(fact_drop__Suc__Cons,axiom,
% 202.84/202.74 ! [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) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_drop__1__Cons,axiom,
% 202.84/202.74 ! [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 ).
% 202.84/202.74
% 202.84/202.74 fof(fact_nth__via__drop,axiom,
% 202.84/202.74 ! [V_ys,V_y,V_xs,V_n,T_a] :
% 202.84/202.74 ( hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_ys)
% 202.84/202.74 => hAPP(hAPP(c_List_Onth(T_a),V_xs),V_n) = V_y ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_distinct__drop,axiom,
% 202.84/202.74 ! [V_i,V_xs,T_a] :
% 202.84/202.74 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 202.84/202.74 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_i),V_xs))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_distinct1__rotate,axiom,
% 202.84/202.74 ! [V_xs_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orotate1(T_b),V_xs_2)))
% 202.84/202.74 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_butlast__drop,axiom,
% 202.84/202.74 ! [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)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_drop__butlast,axiom,
% 202.84/202.74 ! [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)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_drop__take,axiom,
% 202.84/202.74 ! [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)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_take__drop,axiom,
% 202.84/202.74 ! [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)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_drop__drop,axiom,
% 202.84/202.74 ! [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) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_drop__0,axiom,
% 202.84/202.74 ! [V_xs,T_a] : hAPP(hAPP(c_List_Odrop(T_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_xs) = V_xs ).
% 202.84/202.74
% 202.84/202.74 fof(fact_drop__zip,axiom,
% 202.84/202.74 ! [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)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_length__rotate1,axiom,
% 202.84/202.74 ! [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) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_length__drop,axiom,
% 202.84/202.74 ! [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) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_set__rotate1,axiom,
% 202.84/202.74 ! [V_xs_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_Orotate1(T_b),V_xs_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_in__set__dropD,axiom,
% 202.84/202.74 ! [V_xs_2,V_n_2,V_x_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_xs_2))))
% 202.84/202.74 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_set__drop__subset,axiom,
% 202.84/202.74 ! [V_xs_2,V_n_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_xs_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_drop__Nil,axiom,
% 202.84/202.74 ! [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) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_rotate1__is__Nil__conv,axiom,
% 202.84/202.74 ! [V_xs_2,T_b] :
% 202.84/202.74 ( hAPP(c_List_Orotate1(T_b),V_xs_2) = c_List_Olist_ONil(T_b)
% 202.84/202.74 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_set__drop__subset__set__drop,axiom,
% 202.84/202.74 ! [V_xs_2,T_b,V_m_2,V_n_2] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2))
% 202.84/202.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Odrop(T_b),V_m_2),V_xs_2))),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_xs_2)))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_drop__all,axiom,
% 202.84/202.74 ! [V_n,V_xs,T_a] :
% 202.84/202.74 ( 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))
% 202.84/202.74 => hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = c_List_Olist_ONil(T_a) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_drop__eq__Nil,axiom,
% 202.84/202.74 ! [V_xs_2,V_n_2,T_b] :
% 202.84/202.74 ( hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 202.84/202.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),V_n_2)) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_drop__append,axiom,
% 202.84/202.74 ! [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)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_append__eq__conv__conj,axiom,
% 202.84/202.74 ! [V_zs_2,V_ys_2,V_xs_2,T_b] :
% 202.84/202.74 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_zs_2
% 202.84/202.74 <=> ( V_xs_2 = hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),V_zs_2)
% 202.84/202.74 & V_ys_2 = hAPP(hAPP(c_List_Odrop(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),V_zs_2) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_drop__Cons,axiom,
% 202.84/202.74 ! [V_xs_2,V_x_2,V_n_2,T_b] : hAPP(hAPP(c_List_Odrop(T_b),V_n_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_Nat_Onat_Onat__case(tc_List_Olist(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Odrop(T_b)),V_xs_2),V_n_2) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_drop__Cons_H,axiom,
% 202.84/202.74 ! [V_xs,V_x,T_a,V_n] :
% 202.84/202.74 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.84/202.74 => 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) )
% 202.84/202.74 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.84/202.74 => 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) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_nth__drop,axiom,
% 202.84/202.74 ! [V_xs,T_a,V_i,V_n] :
% 202.84/202.74 ( 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)))
% 202.84/202.74 => 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)) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_append__eq__append__conv__if,axiom,
% 202.84/202.74 ! [V_ys_092_060_094isub_0622_2,V_ys_092_060_094isub_0621_2,V_xs_092_060_094isub_0622_2,V_xs_092_060_094isub_0621_2,T_b] :
% 202.84/202.74 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_092_060_094isub_0621_2),V_xs_092_060_094isub_0622_2) = hAPP(hAPP(c_List_Oappend(T_b),V_ys_092_060_094isub_0621_2),V_ys_092_060_094isub_0622_2)
% 202.84/202.74 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_092_060_094isub_0621_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_092_060_094isub_0621_2)))
% 202.84/202.74 => ( V_xs_092_060_094isub_0621_2 = hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_092_060_094isub_0621_2)),V_ys_092_060_094isub_0621_2)
% 202.84/202.74 & V_xs_092_060_094isub_0622_2 = hAPP(hAPP(c_List_Oappend(T_b),hAPP(hAPP(c_List_Odrop(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_092_060_094isub_0621_2)),V_ys_092_060_094isub_0621_2)),V_ys_092_060_094isub_0622_2) ) )
% 202.84/202.74 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_092_060_094isub_0621_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_092_060_094isub_0621_2)))
% 202.84/202.74 => ( hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_092_060_094isub_0621_2)),V_xs_092_060_094isub_0621_2) = V_ys_092_060_094isub_0621_2
% 202.84/202.74 & hAPP(hAPP(c_List_Oappend(T_b),hAPP(hAPP(c_List_Odrop(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_092_060_094isub_0621_2)),V_xs_092_060_094isub_0621_2)),V_xs_092_060_094isub_0622_2) = V_ys_092_060_094isub_0622_2 ) ) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_nth__drop_H,axiom,
% 202.84/202.74 ! [V_xs,T_a,V_i] :
% 202.84/202.74 ( 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)))
% 202.84/202.74 => 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) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_rotate__simps,axiom,
% 202.84/202.74 ! [V_xs,V_x,T_b,T_a] :
% 202.84/202.74 ( hAPP(c_List_Orotate1(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a)
% 202.84/202.74 & 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))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_drop__Cons__number__of,axiom,
% 202.84/202.74 ! [V_xs,V_x,T_a,V_v] :
% 202.84/202.74 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.84/202.74 => 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) )
% 202.84/202.74 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.84/202.74 => 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) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_take__add,axiom,
% 202.84/202.74 ! [V_xs,T_a,V_j,V_i] :
% 202.84/202.74 ( 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)))
% 202.84/202.74 => 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))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_rotate1__length01,axiom,
% 202.84/202.74 ! [V_xs,T_a] :
% 202.84/202.74 ( 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)))
% 202.84/202.74 => hAPP(c_List_Orotate1(T_a),V_xs) = V_xs ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_zip__append1,axiom,
% 202.84/202.74 ! [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))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_zip__append2,axiom,
% 202.84/202.74 ! [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)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_id__take__nth__drop,axiom,
% 202.84/202.74 ! [V_xs,T_a,V_i] :
% 202.84/202.74 ( 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)))
% 202.84/202.74 => 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))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_take__hd__drop,axiom,
% 202.84/202.74 ! [V_xs,T_a,V_n] :
% 202.84/202.74 ( 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)))
% 202.84/202.74 => 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) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_hd__drop__conv__nth,axiom,
% 202.84/202.74 ! [V_n,T_a,V_xs] :
% 202.84/202.74 ( V_xs != c_List_Olist_ONil(T_a)
% 202.84/202.74 => ( 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)))
% 202.84/202.74 => 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) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_hd_Osimps,axiom,
% 202.84/202.74 ! [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 ).
% 202.84/202.74
% 202.84/202.74 fof(fact_hd__append2,axiom,
% 202.84/202.74 ! [V_ys,T_a,V_xs] :
% 202.84/202.74 ( V_xs != c_List_Olist_ONil(T_a)
% 202.84/202.74 => 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) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_hd__append,axiom,
% 202.84/202.74 ! [V_ys,T_a,V_xs] :
% 202.84/202.74 ( ( V_xs = c_List_Olist_ONil(T_a)
% 202.84/202.74 => 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) )
% 202.84/202.74 & ( V_xs != c_List_Olist_ONil(T_a)
% 202.84/202.74 => 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) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_hd__in__set,axiom,
% 202.84/202.74 ! [T_b,V_xs_2] :
% 202.84/202.74 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 202.84/202.74 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_List_Ohd(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_hd__conv__nth,axiom,
% 202.84/202.74 ! [T_a,V_xs] :
% 202.84/202.74 ( V_xs != c_List_Olist_ONil(T_a)
% 202.84/202.74 => 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)) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_rotate1__hd__tl,axiom,
% 202.84/202.74 ! [T_a,V_xs] :
% 202.84/202.74 ( V_xs != c_List_Olist_ONil(T_a)
% 202.84/202.74 => 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))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_hd__rotate__conv__nth,axiom,
% 202.84/202.74 ! [V_n,T_a,V_xs] :
% 202.84/202.74 ( V_xs != c_List_Olist_ONil(T_a)
% 202.84/202.74 => 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))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_drop__tl,axiom,
% 202.84/202.74 ! [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)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_tl__drop,axiom,
% 202.84/202.74 ! [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)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_tl_Osimps_I2_J,axiom,
% 202.84/202.74 ! [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 ).
% 202.84/202.74
% 202.84/202.74 fof(fact_distinct__tl,axiom,
% 202.84/202.74 ! [V_xs,T_a] :
% 202.84/202.74 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 202.84/202.74 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_Otl(T_a),V_xs))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_distinct__rotate,axiom,
% 202.84/202.74 ! [V_xs_2,V_n_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orotate(T_b,V_n_2),V_xs_2)))
% 202.84/202.74 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_rotate__rotate,axiom,
% 202.84/202.74 ! [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) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_rotate0,axiom,
% 202.84/202.74 ! [T_b] : c_List_Orotate(T_b,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Fun_Oid(tc_List_Olist(T_b)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_rotate__add,axiom,
% 202.84/202.74 ! [V_n_2,V_m_2,T_b] : c_List_Orotate(T_b,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2)) = hAPP(c_Fun_Ocomp(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Orotate(T_b,V_m_2)),c_List_Orotate(T_b,V_n_2)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_length__rotate,axiom,
% 202.84/202.74 ! [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) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_set__rotate,axiom,
% 202.84/202.74 ! [V_xs_2,V_n_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_Orotate(T_b,V_n_2),V_xs_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_tl_Osimps_I1_J,axiom,
% 202.84/202.74 ! [T_a] : hAPP(c_List_Otl(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_rotate__is__Nil__conv,axiom,
% 202.84/202.74 ! [V_xs_2,V_n_2,T_b] :
% 202.84/202.74 ( hAPP(c_List_Orotate(T_b,V_n_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 202.84/202.74 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_rotate1__rotate__swap,axiom,
% 202.84/202.74 ! [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)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_rotate__def,axiom,
% 202.84/202.74 ! [V_n_2,T_b] : c_List_Orotate(T_b,V_n_2) = hAPP(hAPP(c_Nat_Ocompow(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_n_2),c_List_Orotate1(T_b)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_tl__append2,axiom,
% 202.84/202.74 ! [V_ys,T_a,V_xs] :
% 202.84/202.74 ( V_xs != c_List_Olist_ONil(T_a)
% 202.84/202.74 => 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) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_take__tl,axiom,
% 202.84/202.74 ! [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)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_rotate__conv__mod,axiom,
% 202.84/202.74 ! [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) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_drop__Suc,axiom,
% 202.84/202.74 ! [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)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_rotate__Suc,axiom,
% 202.84/202.74 ! [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)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_tl__append,axiom,
% 202.84/202.74 ! [V_ys_2,V_xs_2,T_b] : hAPP(c_List_Otl(T_b),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(T_b),T_b,hAPP(c_List_Otl(T_b),V_ys_2),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Oappend(T_b)),V_ys_2))),V_xs_2) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_rotate__id,axiom,
% 202.84/202.74 ! [V_xs,T_a,V_n] :
% 202.84/202.74 ( 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)
% 202.84/202.74 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_rotate__length01,axiom,
% 202.84/202.74 ! [V_n,V_xs,T_a] :
% 202.84/202.74 ( 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)))
% 202.84/202.74 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_length__tl,axiom,
% 202.84/202.74 ! [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)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_tl__take,axiom,
% 202.84/202.74 ! [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)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_take__Suc,axiom,
% 202.84/202.74 ! [V_n,T_a,V_xs] :
% 202.84/202.74 ( V_xs != c_List_Olist_ONil(T_a)
% 202.84/202.74 => 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))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_rotate__drop__take,axiom,
% 202.84/202.74 ! [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)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_fold1__set,axiom,
% 202.84/202.74 ! [V_xs_2,T_b] :
% 202.84/202.74 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 202.84/202.74 => ( V_xs_2 != c_List_Olist_ONil(T_b)
% 202.84/202.74 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b),hAPP(c_List_Ohd(T_b),V_xs_2)),hAPP(c_List_Otl(T_b),V_xs_2)) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_lexord__append__rightI,axiom,
% 202.84/202.74 ! [V_r_2,V_x_2,T_b,V_y_2] :
% 202.84/202.74 ( ? [B_b,B_z] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_b),B_z)
% 202.84/202.74 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_y_2))),c_List_Olexord(T_b,V_r_2))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_foldl__Nil,axiom,
% 202.84/202.74 ! [V_a_2,V_f_2,T_c,T_b] : hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,V_a_2),c_List_Olist_ONil(T_c)) = V_a_2 ).
% 202.84/202.74
% 202.84/202.74 fof(fact_start__le__sum,axiom,
% 202.84/202.74 ! [V_ns_2,V_n_2,V_m_2] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 202.84/202.74 => 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))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_foldl__assoc,axiom,
% 202.84/202.74 ! [V_zs_2,V_y_2,V_x_2,T_b] :
% 202.84/202.74 ( class_Groups_Osemigroup__add(T_b)
% 202.84/202.74 => hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),V_y_2)),V_zs_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_y_2),V_zs_2)) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_foldl__absorb0,axiom,
% 202.84/202.74 ! [V_zs_2,V_x_2,T_b] :
% 202.84/202.74 ( class_Groups_Omonoid__add(T_b)
% 202.84/202.74 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_zs_2)) = hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_x_2),V_zs_2) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_foldl__Cons,axiom,
% 202.84/202.74 ! [V_xs_2,V_x_2,V_a_2,V_f_2,T_c,T_b] : hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,V_a_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,hAPP(hAPP(V_f_2,V_a_2),V_x_2)),V_xs_2) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_foldl__append,axiom,
% 202.84/202.74 ! [V_ys_2,V_xs_2,V_a_2,V_f_2,T_c,T_b] : hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,V_a_2),hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),V_ys_2)) = hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,V_a_2),V_xs_2)),V_ys_2) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_listsum__foldl,axiom,
% 202.84/202.74 ! [T_b] :
% 202.84/202.74 ( class_Groups_Omonoid__add(T_b)
% 202.84/202.74 => c_List_Omonoid__add__class_Olistsum(T_b) = c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),c_Groups_Ozero__class_Ozero(T_b)) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_sum__eq__0__conv,axiom,
% 202.84/202.74 ! [V_ns_2,V_m_2] :
% 202.84/202.74 ( 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)
% 202.84/202.74 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.84/202.74 & ! [B_x] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 202.84/202.74 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_fun__left__comm__idem_Ofold__set,axiom,
% 202.84/202.74 ! [V_xs_2,V_y_2,V_f_2,T_c,T_b] :
% 202.84/202.74 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 202.84/202.74 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_List_Ofoldl(T_c,T_b,hAPP(c_COMBC(T_b,T_c,T_c),V_f_2),V_y_2),V_xs_2) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_Sup__set__fold,axiom,
% 202.84/202.74 ! [V_xs_2,T_b] :
% 202.84/202.74 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 202.84/202.74 => c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Orderings_Obot__class_Obot(T_b)),V_xs_2) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_Inf__set__fold,axiom,
% 202.84/202.74 ! [V_xs_2,T_b] :
% 202.84/202.74 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 202.84/202.74 => c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Orderings_Otop__class_Otop(T_b)),V_xs_2) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_Sup__fin__set__fold,axiom,
% 202.84/202.74 ! [V_xs_2,V_x_2,T_b] :
% 202.84/202.74 ( class_Lattices_Olattice(T_b)
% 202.84/202.74 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_xs_2) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_Inf__fin__set__fold,axiom,
% 202.84/202.74 ! [V_xs_2,V_x_2,T_b] :
% 202.84/202.74 ( class_Lattices_Olattice(T_b)
% 202.84/202.74 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_xs_2) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_Min__fin__set__fold,axiom,
% 202.84/202.74 ! [V_xs_2,V_x_2,T_b] :
% 202.84/202.74 ( class_Orderings_Olinorder(T_b)
% 202.84/202.74 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Orderings_Oord__class_Omin(T_b),V_x_2),V_xs_2) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_Max__fin__set__fold,axiom,
% 202.84/202.74 ! [V_xs_2,V_x_2,T_b] :
% 202.84/202.74 ( class_Orderings_Olinorder(T_b)
% 202.84/202.74 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_x_2),V_xs_2) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_min__max_OInf__fin__set__fold,axiom,
% 202.84/202.74 ! [V_xs_2,V_x_2,T_b] :
% 202.84/202.74 ( class_Orderings_Olinorder(T_b)
% 202.84/202.74 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Orderings_Oord__class_Omin(T_b),V_x_2),V_xs_2) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_min__max_OSup__fin__set__fold,axiom,
% 202.84/202.74 ! [V_xs_2,V_x_2,T_b] :
% 202.84/202.74 ( class_Orderings_Olinorder(T_b)
% 202.84/202.74 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_x_2),V_xs_2) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_SUPR__set__fold,axiom,
% 202.84/202.74 ! [V_f_2,V_xs_2,T_c,T_b] :
% 202.84/202.74 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 202.84/202.74 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),hAPP(c_List_Oset(T_c),V_xs_2)),V_f_2) = hAPP(c_List_Ofoldl(T_b,T_c,hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_f_2)),c_Orderings_Obot__class_Obot(T_b)),V_xs_2) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_INFI__set__fold,axiom,
% 202.84/202.74 ! [V_f_2,V_xs_2,T_c,T_b] :
% 202.84/202.74 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 202.84/202.74 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),hAPP(c_List_Oset(T_c),V_xs_2)),V_f_2) = hAPP(c_List_Ofoldl(T_b,T_c,hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_f_2)),c_Orderings_Otop__class_Otop(T_b)),V_xs_2) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_elem__le__sum,axiom,
% 202.84/202.74 ! [V_ns_2,V_n_2] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_n_2),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 202.84/202.74 => 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))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_sorted__list__of__set__insert,axiom,
% 202.84/202.74 ! [V_x_2,V_A_2,T_b] :
% 202.84/202.74 ( class_Orderings_Olinorder(T_b)
% 202.84/202.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.84/202.74 => c_List_Olinorder__class_Osorted__list__of__set(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),c_List_Olinorder__class_Osorted__list__of__set(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_lexord__Nil__left,axiom,
% 202.84/202.74 ! [V_r_2,V_y_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_y_2)),c_List_Olexord(T_b,V_r_2)))
% 202.84/202.74 <=> ? [B_a,B_x] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_a),B_x) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_insort__key_Osimps_I1_J,axiom,
% 202.84/202.74 ! [V_x_2,V_f_2,T_b,T_c] :
% 202.84/202.74 ( class_Orderings_Olinorder(T_c)
% 202.84/202.74 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),c_List_Olist_ONil(T_b)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_insort__key_Osimps_I2_J,axiom,
% 202.84/202.74 ! [V_ys_2,T_c,V_y_2,V_x_2,V_f_2,T_b] :
% 202.84/202.74 ( class_Orderings_Olinorder(T_b)
% 202.84/202.74 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)))
% 202.84/202.74 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2)) = hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2)) )
% 202.84/202.74 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)))
% 202.84/202.74 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2)) = hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_ys_2)) ) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_insort__key__left__comm,axiom,
% 202.84/202.74 ! [V_xs_2,T_c,V_y_2,V_x_2,V_f_2,T_b] :
% 202.84/202.74 ( class_Orderings_Olinorder(T_b)
% 202.84/202.74 => ( hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2)
% 202.84/202.74 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_y_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_y_2),V_xs_2)) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_fun__left__comm__insort,axiom,
% 202.84/202.74 ! [T_b] :
% 202.84/202.74 ( class_Orderings_Olinorder(T_b)
% 202.84/202.74 => c_Finite__Set_Ofun__left__comm(T_b,tc_List_Olist(T_b),c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_insort__left__comm,axiom,
% 202.84/202.74 ! [V_xs_2,V_y_2,V_x_2,T_b] :
% 202.84/202.74 ( class_Orderings_Olinorder(T_b)
% 202.84/202.74 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_y_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_y_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),V_xs_2)) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_length__insort,axiom,
% 202.84/202.74 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 202.84/202.74 ( class_Orderings_Olinorder(T_c)
% 202.84/202.74 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),V_xs_2)) = hAPP(c_Nat_OSuc,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_set__insort,axiom,
% 202.84/202.74 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 202.84/202.74 ( class_Orderings_Olinorder(T_c)
% 202.84/202.74 => hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_remove1__insort,axiom,
% 202.84/202.74 ! [V_xs_2,V_x_2,T_b] :
% 202.84/202.74 ( class_Orderings_Olinorder(T_b)
% 202.84/202.74 => c_List_Oremove1(T_b,V_x_2,hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),V_xs_2)) = V_xs_2 ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_insort__not__Nil,axiom,
% 202.84/202.74 ! [V_xs_2,V_a_2,V_f_2,T_b,T_c] :
% 202.84/202.74 ( class_Orderings_Olinorder(T_c)
% 202.84/202.74 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_a_2),V_xs_2) != c_List_Olist_ONil(T_b) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_distinct__insort,axiom,
% 202.84/202.74 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 202.84/202.74 ( class_Orderings_Olinorder(T_c)
% 202.84/202.74 => ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),V_xs_2)))
% 202.84/202.74 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 202.84/202.74 & hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_insort__insert__insort__key,axiom,
% 202.84/202.74 ! [V_xs_2,T_c,V_x_2,V_f_2,T_b] :
% 202.84/202.74 ( class_Orderings_Olinorder(T_b)
% 202.84/202.74 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_List_Oset(T_c),V_xs_2))))
% 202.84/202.74 => c_List_Olinorder__class_Oinsort__insert__key(T_c,T_b,V_f_2,V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_xs_2) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_insort__insert__insort,axiom,
% 202.84/202.74 ! [V_xs_2,V_x_2,T_b] :
% 202.84/202.74 ( class_Orderings_Olinorder(T_b)
% 202.84/202.74 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 202.84/202.74 => c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),V_xs_2) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_distinct__insort__insert,axiom,
% 202.84/202.74 ! [V_x_2,V_f_2,V_xs_2,T_b,T_c] :
% 202.84/202.74 ( class_Orderings_Olinorder(T_c)
% 202.84/202.74 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 202.84/202.74 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Oinsort__insert__key(T_b,T_c,V_f_2,V_x_2,V_xs_2))) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_insort__insert__triv,axiom,
% 202.84/202.74 ! [V_xs_2,V_x_2,T_b] :
% 202.84/202.74 ( class_Orderings_Olinorder(T_b)
% 202.84/202.74 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 202.84/202.74 => c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2) = V_xs_2 ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_set__insort__insert,axiom,
% 202.84/202.74 ! [V_xs_2,V_x_2,T_b] :
% 202.84/202.74 ( class_Orderings_Olinorder(T_b)
% 202.84/202.74 => hAPP(c_List_Oset(T_b),c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_insort__insert__key__triv,axiom,
% 202.84/202.74 ! [V_xs_2,T_c,V_x_2,V_f_2,T_b] :
% 202.84/202.74 ( class_Orderings_Olinorder(T_b)
% 202.84/202.74 => ( hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_List_Oset(T_c),V_xs_2))))
% 202.84/202.74 => c_List_Olinorder__class_Oinsort__insert__key(T_c,T_b,V_f_2,V_x_2,V_xs_2) = V_xs_2 ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_last__list__update,axiom,
% 202.84/202.74 ! [V_x,V_k,T_a,V_xs] :
% 202.84/202.74 ( V_xs != c_List_Olist_ONil(T_a)
% 202.84/202.74 => ( ( 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))
% 202.84/202.74 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_x)) = V_x )
% 202.84/202.74 & ( 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))
% 202.84/202.74 => 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) ) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_last__conv__nth,axiom,
% 202.84/202.74 ! [T_a,V_xs] :
% 202.84/202.74 ( V_xs != c_List_Olist_ONil(T_a)
% 202.84/202.74 => 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))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_last_Osimps,axiom,
% 202.84/202.74 ! [V_x,T_a,V_xs] :
% 202.84/202.74 ( ( V_xs = c_List_Olist_ONil(T_a)
% 202.84/202.74 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x )
% 202.84/202.74 & ( V_xs != c_List_Olist_ONil(T_a)
% 202.84/202.74 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_last__ConsR,axiom,
% 202.84/202.74 ! [V_x,T_a,V_xs] :
% 202.84/202.74 ( V_xs != c_List_Olist_ONil(T_a)
% 202.84/202.74 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_last__ConsL,axiom,
% 202.84/202.74 ! [V_x,T_a,V_xs] :
% 202.84/202.74 ( V_xs = c_List_Olist_ONil(T_a)
% 202.84/202.74 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_last__append,axiom,
% 202.84/202.74 ! [V_xs,T_a,V_ys] :
% 202.84/202.74 ( ( V_ys = c_List_Olist_ONil(T_a)
% 202.84/202.74 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) )
% 202.84/202.74 & ( V_ys != c_List_Olist_ONil(T_a)
% 202.84/202.74 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_last__appendR,axiom,
% 202.84/202.74 ! [V_xs,T_a,V_ys] :
% 202.84/202.74 ( V_ys != c_List_Olist_ONil(T_a)
% 202.84/202.74 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_last__appendL,axiom,
% 202.84/202.74 ! [V_xs,T_a,V_ys] :
% 202.84/202.74 ( V_ys = c_List_Olist_ONil(T_a)
% 202.84/202.74 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_last__in__set,axiom,
% 202.84/202.74 ! [T_b,V_as_2] :
% 202.84/202.74 ( V_as_2 != c_List_Olist_ONil(T_b)
% 202.84/202.74 => hBOOL(hAPP(hAPP(c_member(T_b),c_List_Olast(T_b,V_as_2)),hAPP(c_List_Oset(T_b),V_as_2))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_last__snoc,axiom,
% 202.84/202.74 ! [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 ).
% 202.84/202.74
% 202.84/202.74 fof(fact_last__drop,axiom,
% 202.84/202.74 ! [V_xs,T_a,V_n] :
% 202.84/202.74 ( 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)))
% 202.84/202.74 => c_List_Olast(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_append__butlast__last__id,axiom,
% 202.84/202.74 ! [T_a,V_xs] :
% 202.84/202.74 ( V_xs != c_List_Olist_ONil(T_a)
% 202.84/202.74 => 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 ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_snoc__eq__iff__butlast,axiom,
% 202.84/202.74 ! [V_ys_2,V_x_2,V_xs_2,T_b] :
% 202.84/202.74 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b))) = V_ys_2
% 202.84/202.74 <=> ( V_ys_2 != c_List_Olist_ONil(T_b)
% 202.84/202.74 & c_List_Obutlast(T_b,V_ys_2) = V_xs_2
% 202.84/202.74 & c_List_Olast(T_b,V_ys_2) = V_x_2 ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_lists_Osimps,axiom,
% 202.84/202.74 ! [V_A_2,V_a_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_a_2),c_List_Olists(T_b,V_A_2)))
% 202.84/202.74 <=> ( V_a_2 = c_List_Olist_ONil(T_b)
% 202.84/202.74 | ? [B_a,B_l] :
% 202.84/202.74 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_a),B_l)
% 202.84/202.74 & hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 202.84/202.74 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_l),c_List_Olists(T_b,V_A_2))) ) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_select__weigth__select,axiom,
% 202.84/202.74 ! [T_b,V_xs_2] :
% 202.84/202.74 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 202.84/202.74 => c_Random_Oselect__weight(T_b,hAPP(hAPP(c_List_Omap(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,T_b)),hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,T_b),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))),V_xs_2)) = c_Random_Oselect(T_b,V_xs_2) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_inj__mapI,axiom,
% 202.84/202.74 ! [V_f_2,T_c,T_b] :
% 202.84/202.74 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 202.84/202.74 => c_Fun_Oinj__on(tc_List_Olist(T_b),tc_List_Olist(T_c),hAPP(c_List_Omap(T_b,T_c),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_last__map,axiom,
% 202.84/202.74 ! [V_f_2,T_c,T_b,V_xs_2] :
% 202.84/202.74 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 202.84/202.74 => c_List_Olast(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) = hAPP(V_f_2,c_List_Olast(T_b,V_xs_2)) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_foldl__map,axiom,
% 202.84/202.74 ! [V_xs_2,V_f_2,T_d,V_a_2,V_g_2,T_c,T_b] : hAPP(c_List_Ofoldl(T_b,T_c,V_g_2,V_a_2),hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_d,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_d,T_c),tc_fun(T_d,T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_b),tc_fun(tc_fun(T_d,T_c),tc_fun(T_d,T_b)),T_b),c_COMBB(T_c,T_b,T_d)),V_g_2)),V_f_2),V_a_2),V_xs_2) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_rotate__map,axiom,
% 202.84/202.74 ! [V_xs_2,V_f_2,T_c,V_n_2,T_b] : hAPP(c_List_Orotate(T_b,V_n_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Orotate(T_c,V_n_2),V_xs_2)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_map__tl,axiom,
% 202.84/202.74 ! [V_xs_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Otl(T_c),V_xs_2)) = hAPP(c_List_Otl(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_zip__same__conv__map,axiom,
% 202.84/202.74 ! [V_xs_2,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_b),V_xs_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,tc_prod(T_b,T_b)),hAPP(hAPP(c_COMBS(T_b,T_b,tc_prod(T_b,T_b)),c_Product__Type_OPair(T_b,T_b)),c_COMBI(T_b))),V_xs_2) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_zip__map__map,axiom,
% 202.84/202.74 ! [V_ys_2,V_g_2,T_e,V_xs_2,V_f_2,T_d,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Omap(T_d,T_b),V_f_2),V_xs_2)),hAPP(hAPP(c_List_Omap(T_e,T_c),V_g_2),V_ys_2)) = hAPP(hAPP(c_List_Omap(tc_prod(T_d,T_e),tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_e,T_c),tc_fun(T_e,tc_prod(T_b,T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(tc_fun(T_e,T_c),tc_fun(T_e,tc_prod(T_b,T_c))),T_d),c_COMBB(T_c,tc_prod(T_b,T_c),T_e)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_prod(T_b,T_c)),T_d),c_Product__Type_OPair(T_b,T_c)),V_f_2))),V_g_2))),hAPP(hAPP(c_List_Ozip(T_d,T_e),V_xs_2),V_ys_2)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_zip__map1,axiom,
% 202.84/202.74 ! [V_ys_2,V_xs_2,V_f_2,T_d,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Omap(T_d,T_b),V_f_2),V_xs_2)),V_ys_2) = hAPP(hAPP(c_List_Omap(tc_prod(T_d,T_c),tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_c,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_prod(T_b,T_c)),T_d),c_Product__Type_OPair(T_b,T_c)),V_f_2))),hAPP(hAPP(c_List_Ozip(T_d,T_c),V_xs_2),V_ys_2)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_map__zip__map,axiom,
% 202.84/202.74 ! [V_ys_2,V_xs_2,V_g_2,T_e,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_List_Omap(tc_prod(T_c,T_d),T_b),V_f_2),hAPP(hAPP(c_List_Ozip(T_c,T_d),hAPP(hAPP(c_List_Omap(T_e,T_c),V_g_2),V_xs_2)),V_ys_2)) = hAPP(hAPP(c_List_Omap(tc_prod(T_e,T_d),T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_e,T_d,T_b),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_c,T_d)),tc_fun(T_d,T_b),T_e),hAPP(c_COMBB(tc_prod(T_c,T_d),T_b,T_d),V_f_2)),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_d,tc_prod(T_c,T_d)),T_e),c_Product__Type_OPair(T_c,T_d)),V_g_2)))),hAPP(hAPP(c_List_Ozip(T_e,T_d),V_xs_2),V_ys_2)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_map__zip__map2,axiom,
% 202.84/202.74 ! [V_ys_2,V_g_2,T_e,V_xs_2,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_List_Omap(tc_prod(T_c,T_d),T_b),V_f_2),hAPP(hAPP(c_List_Ozip(T_c,T_d),V_xs_2),hAPP(hAPP(c_List_Omap(T_e,T_d),V_g_2),V_ys_2))) = hAPP(hAPP(c_List_Omap(tc_prod(T_c,T_e),T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_e,T_b),hAPP(hAPP(c_COMBB(tc_fun(T_e,tc_prod(T_c,T_d)),tc_fun(T_e,T_b),T_c),hAPP(c_COMBB(tc_prod(T_c,T_d),T_b,T_e),V_f_2)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_e,T_d),tc_fun(T_e,tc_prod(T_c,T_d))),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_c,T_d)),tc_fun(tc_fun(T_e,T_d),tc_fun(T_e,tc_prod(T_c,T_d))),T_c),c_COMBB(T_d,tc_prod(T_c,T_d),T_e)),c_Product__Type_OPair(T_c,T_d))),V_g_2)))),hAPP(hAPP(c_List_Ozip(T_c,T_e),V_xs_2),V_ys_2)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_zip__map2,axiom,
% 202.84/202.74 ! [V_ys_2,V_f_2,T_d,V_xs_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_ys_2)) = hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_d),tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_d,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_d,T_c),tc_fun(T_d,tc_prod(T_b,T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(tc_fun(T_d,T_c),tc_fun(T_d,tc_prod(T_b,T_c))),T_b),c_COMBB(T_c,tc_prod(T_b,T_c),T_d)),c_Product__Type_OPair(T_b,T_c))),V_f_2))),hAPP(hAPP(c_List_Ozip(T_b,T_d),V_xs_2),V_ys_2)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_map__is__Nil__conv,axiom,
% 202.84/202.74 ! [V_xs_2,V_f_2,T_b,T_c] :
% 202.84/202.74 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 202.84/202.74 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_map_Osimps_I1_J,axiom,
% 202.84/202.74 ! [V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Olist_ONil(T_c)) = c_List_Olist_ONil(T_b) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_Nil__is__map__conv,axiom,
% 202.84/202.74 ! [V_xs_2,V_f_2,T_c,T_b] :
% 202.84/202.74 ( c_List_Olist_ONil(T_b) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)
% 202.84/202.74 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_map__update,axiom,
% 202.84/202.74 ! [V_y_2,V_k_2,V_xs_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Olist__update(T_c,V_xs_2),V_k_2),V_y_2)) = hAPP(hAPP(c_List_Olist__update(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)),V_k_2),hAPP(V_f_2,V_y_2)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_map__eq__conv,axiom,
% 202.84/202.74 ! [V_g_2,V_xs_2,V_f_2,T_b,T_c] :
% 202.84/202.74 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_g_2),V_xs_2)
% 202.84/202.74 <=> ! [B_x] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(c_List_Oset(T_c),V_xs_2)))
% 202.84/202.74 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_length__map,axiom,
% 202.84/202.74 ! [V_xs_2,V_f_2,T_c,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_map__eq__imp__length__eq,axiom,
% 202.84/202.74 ! [V_ys_2,V_g_2,T_d,V_xs_2,V_f_2,T_b,T_c] :
% 202.84/202.74 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_d,T_b),V_g_2),V_ys_2)
% 202.84/202.74 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_d)),V_ys_2) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_listsum__const__mult,axiom,
% 202.84/202.74 ! [V_xs_2,V_f_2,V_c_2,T_c,T_b] :
% 202.84/202.74 ( class_Rings_Osemiring__0(T_b)
% 202.84/202.74 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2)),V_f_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_listsum__mult__const,axiom,
% 202.84/202.74 ! [V_xs_2,V_c_2,V_f_2,T_c,T_b] :
% 202.84/202.74 ( class_Rings_Osemiring__0(T_b)
% 202.84/202.74 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Otimes__class_Otimes(T_b)),V_f_2)),V_c_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))),V_c_2) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_listsum__0,axiom,
% 202.84/202.74 ! [V_xs_2,T_c,T_b] :
% 202.84/202.74 ( class_Groups_Omonoid__add(T_b)
% 202.84/202.74 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(c_COMBK(T_b,T_c),c_Groups_Ozero__class_Ozero(T_b))),V_xs_2)) = c_Groups_Ozero__class_Ozero(T_b) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_listsum__addf,axiom,
% 202.84/202.74 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] :
% 202.84/202.74 ( class_Groups_Ocomm__monoid__add(T_b)
% 202.84/202.74 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Oplus__class_Oplus(T_b)),V_f_2)),V_g_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_g_2),V_xs_2))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_listsum__subtractf,axiom,
% 202.84/202.74 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] :
% 202.84/202.74 ( class_Groups_Oab__group__add(T_b)
% 202.84/202.74 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Ominus__class_Ominus(T_b)),V_f_2)),V_g_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_g_2),V_xs_2))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_inj__map__eq__map,axiom,
% 202.84/202.74 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b] :
% 202.84/202.74 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 202.84/202.74 => ( hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2)
% 202.84/202.74 <=> V_xs_2 = V_ys_2 ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_map__injective,axiom,
% 202.84/202.74 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] :
% 202.84/202.74 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_ys_2)
% 202.84/202.74 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 202.84/202.74 => V_xs_2 = V_ys_2 ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_map__ident,axiom,
% 202.84/202.74 ! [V_xs_2,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_b),c_COMBI(T_b)),V_xs_2) = V_xs_2 ).
% 202.84/202.74
% 202.84/202.74 fof(fact_take__map,axiom,
% 202.84/202.74 ! [V_xs_2,V_f_2,T_c,V_n_2,T_b] : hAPP(hAPP(c_List_Otake(T_b),V_n_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Otake(T_c),V_n_2),V_xs_2)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_map__butlast,axiom,
% 202.84/202.74 ! [V_xs_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Obutlast(T_c,V_xs_2)) = c_List_Obutlast(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_set__map,axiom,
% 202.84/202.74 ! [V_xs_2,V_f_2,T_c,T_b] : hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_List_Oset(T_c),V_xs_2)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_map_Osimps_I2_J,axiom,
% 202.84/202.74 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),hAPP(V_f_2,V_x_2)),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_map__append,axiom,
% 202.84/202.74 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_ys_2)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_hd__map,axiom,
% 202.84/202.74 ! [V_f_2,T_c,T_b,V_xs_2] :
% 202.84/202.74 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 202.84/202.74 => hAPP(c_List_Ohd(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) = hAPP(V_f_2,hAPP(c_List_Ohd(T_b),V_xs_2)) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_drop__map,axiom,
% 202.84/202.74 ! [V_xs_2,V_f_2,T_c,V_n_2,T_b] : hAPP(hAPP(c_List_Odrop(T_b),V_n_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Odrop(T_c),V_n_2),V_xs_2)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_List_Omap_Oid,axiom,
% 202.84/202.74 ! [T_b] : hAPP(c_List_Omap(T_b,T_b),c_Fun_Oid(T_b)) = c_Fun_Oid(tc_List_Olist(T_b)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_List_Omap_Oidentity,axiom,
% 202.84/202.74 ! [T_b] : hAPP(c_List_Omap(T_b,T_b),c_COMBI(T_b)) = c_Fun_Oid(tc_List_Olist(T_b)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_List_Omap_Ocomp,axiom,
% 202.84/202.74 ! [V_g_2,V_f_2,T_b,T_c,T_d] : hAPP(c_Fun_Ocomp(tc_List_Olist(T_d),tc_List_Olist(T_c),tc_List_Olist(T_b),hAPP(c_List_Omap(T_d,T_c),V_f_2)),hAPP(c_List_Omap(T_b,T_d),V_g_2)) = hAPP(c_List_Omap(T_b,T_c),hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_2),V_g_2)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_map__comp__map,axiom,
% 202.84/202.74 ! [V_g_2,V_f_2,T_b,T_c,T_d] : hAPP(c_Fun_Ocomp(tc_List_Olist(T_d),tc_List_Olist(T_c),tc_List_Olist(T_b),hAPP(c_List_Omap(T_d,T_c),V_f_2)),hAPP(c_List_Omap(T_b,T_d),V_g_2)) = hAPP(c_List_Omap(T_b,T_c),hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_2),V_g_2)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_List_Omap_Ocompositionality,axiom,
% 202.84/202.74 ! [V_list_2,V_g_2,T_d,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Omap(T_d,T_c),V_g_2),V_list_2)) = hAPP(hAPP(c_List_Omap(T_d,T_b),hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2)),V_list_2) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_map__map,axiom,
% 202.84/202.74 ! [V_xs_2,V_g_2,T_d,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Omap(T_d,T_c),V_g_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_d,T_b),hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2)),V_xs_2) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_list__size__map,axiom,
% 202.84/202.74 ! [V_xs_2,V_g_2,T_c,V_f_2,T_b] : c_List_Olist_Olist__size(T_b,V_f_2,hAPP(hAPP(c_List_Omap(T_c,T_b),V_g_2),V_xs_2)) = c_List_Olist_Olist__size(T_c,hAPP(c_Fun_Ocomp(T_b,tc_Nat_Onat,T_c,V_f_2),V_g_2),V_xs_2) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_map__inj__on,axiom,
% 202.84/202.74 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] :
% 202.84/202.74 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_ys_2)
% 202.84/202.74 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_List_Oset(T_c),V_xs_2)),hAPP(c_List_Oset(T_c),V_ys_2)))
% 202.84/202.74 => V_xs_2 = V_ys_2 ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_inj__on__map__eq__map,axiom,
% 202.84/202.74 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b] :
% 202.84/202.74 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_ys_2)))
% 202.84/202.74 => ( hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2)
% 202.84/202.74 <=> V_xs_2 = V_ys_2 ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_nth__map,axiom,
% 202.84/202.74 ! [V_f_2,T_c,V_xs_2,T_b,V_n_2] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 202.84/202.74 => hAPP(hAPP(c_List_Onth(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)),V_n_2) = hAPP(V_f_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_n_2)) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_map__fun__upd,axiom,
% 202.84/202.74 ! [V_v_2,V_f_2,T_c,V_xs_2,V_y_2,T_b] :
% 202.84/202.74 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 202.84/202.74 => hAPP(hAPP(c_List_Omap(T_b,T_c),c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_y_2,V_v_2)),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_distinct__map,axiom,
% 202.84/202.74 ! [V_xs_2,V_f_2,T_c,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)))
% 202.84/202.74 <=> ( hBOOL(hAPP(c_List_Odistinct(T_c),V_xs_2))
% 202.84/202.74 & c_Fun_Oinj__on(T_c,T_b,V_f_2,hAPP(c_List_Oset(T_c),V_xs_2)) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_listsum__abs,axiom,
% 202.84/202.74 ! [V_xs_2,T_b] :
% 202.84/202.74 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 202.84/202.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_b,T_b),c_Groups_Oabs__class_Oabs(T_b)),V_xs_2)))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_uminus__listsum__map,axiom,
% 202.84/202.74 ! [V_xs_2,V_f_2,T_c,T_b] :
% 202.84/202.74 ( class_Groups_Oab__group__add(T_b)
% 202.84/202.74 => hAPP(c_Groups_Ouminus__class_Ouminus(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(c_Fun_Ocomp(T_b,T_b,T_c,c_Groups_Ouminus__class_Ouminus(T_b)),V_f_2)),V_xs_2)) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_inj__on__mapI,axiom,
% 202.84/202.74 ! [V_A_2,V_f_2,T_c,T_b] :
% 202.84/202.74 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),c_List_Oset(T_b)),V_A_2)))
% 202.84/202.74 => c_Fun_Oinj__on(tc_List_Olist(T_b),tc_List_Olist(T_c),hAPP(c_List_Omap(T_b,T_c),V_f_2),V_A_2) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_inj__mapD,axiom,
% 202.84/202.74 ! [V_f_2,T_c,T_b] :
% 202.84/202.74 ( c_Fun_Oinj__on(tc_List_Olist(T_b),tc_List_Olist(T_c),hAPP(c_List_Omap(T_b,T_c),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))
% 202.84/202.74 => c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_inj__map,axiom,
% 202.84/202.74 ! [V_f_2,T_c,T_b] :
% 202.84/202.74 ( c_Fun_Oinj__on(tc_List_Olist(T_b),tc_List_Olist(T_c),hAPP(c_List_Omap(T_b,T_c),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))
% 202.84/202.74 <=> c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_listsum__distinct__conv__setsum__set,axiom,
% 202.84/202.74 ! [V_f_2,V_xs_2,T_b,T_c] :
% 202.84/202.74 ( class_Groups_Ocomm__monoid__add(T_c)
% 202.84/202.74 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 202.84/202.74 => hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(c_List_Oset(T_b),V_xs_2)) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_listsum__triv,axiom,
% 202.84/202.74 ! [V_xs_2,V_r_2,T_c,T_b] :
% 202.84/202.74 ( class_Rings_Osemiring__1(T_b)
% 202.84/202.74 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(c_COMBK(T_b,T_c),V_r_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2))),V_r_2) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_listsum__map__remove1,axiom,
% 202.84/202.74 ! [V_f_2,V_xs_2,V_x_2,T_b,T_c] :
% 202.84/202.74 ( class_Groups_Ocomm__monoid__add(T_c)
% 202.84/202.74 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 202.84/202.74 => hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_f_2,V_x_2)),hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),c_List_Oremove1(T_b,V_x_2,V_xs_2)))) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_Nitpick_Osetsum_H__def,axiom,
% 202.84/202.74 ! [V_f_2,V_A_2,T_b,T_c] :
% 202.84/202.74 ( class_Groups_Ocomm__monoid__add(T_c)
% 202.84/202.74 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.84/202.74 => c_Nitpick_Osetsum_H(T_b,T_c,V_f_2,V_A_2) = hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),c_Hilbert__Choice_OEps(tc_List_Olist(T_b),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_List_Oset(T_b))),V_A_2))),c_List_Odistinct(T_b))))) )
% 202.84/202.74 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.84/202.74 => c_Nitpick_Osetsum_H(T_b,T_c,V_f_2,V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_pick__same,axiom,
% 202.84/202.74 ! [V_xs_2,T_b,V_l_2] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_l_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 202.84/202.74 => hAPP(c_Random_Opick(T_b,hAPP(hAPP(c_List_Omap(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,T_b)),hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,T_b),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))),V_xs_2)),hAPP(c_Code__Numeral_Oof__nat,V_l_2)) = hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_l_2) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_zero__code__numeral__def,axiom,
% 202.84/202.74 c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_times__code__numeral__code,axiom,
% 202.84/202.74 ! [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)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_Code__Numeral_Oof__nat__inject,axiom,
% 202.84/202.74 ! [V_m_2,V_n_2] :
% 202.84/202.74 ( hAPP(c_Code__Numeral_Oof__nat,V_n_2) = hAPP(c_Code__Numeral_Oof__nat,V_m_2)
% 202.84/202.74 <=> V_n_2 = V_m_2 ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_Code__Numeral_Oof__nat__code,axiom,
% 202.84/202.74 c_Code__Numeral_Oof__nat = c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_one__code__numeral__def,axiom,
% 202.84/202.74 c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Oone__class_Oone(tc_Nat_Onat)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_less__code__numeral__code,axiom,
% 202.84/202.74 ! [V_m_2,V_n_2] :
% 202.84/202.74 ( 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)))
% 202.84/202.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_code__numeral_Oof__nat__inject,axiom,
% 202.84/202.74 ! [V_y_2,V_x_2] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 202.84/202.74 => ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 202.84/202.74 => ( hAPP(c_Code__Numeral_Oof__nat,V_x_2) = hAPP(c_Code__Numeral_Oof__nat,V_y_2)
% 202.84/202.74 <=> V_x_2 = V_y_2 ) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_map__fst__zip,axiom,
% 202.84/202.74 ! [V_ys_2,T_c,V_xs_2,T_b] :
% 202.84/202.74 ( 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)
% 202.84/202.74 => hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_b),c_Product__Type_Ofst(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) = V_xs_2 ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_map__snd__zip,axiom,
% 202.84/202.74 ! [V_ys_2,T_c,V_xs_2,T_b] :
% 202.84/202.74 ( 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)
% 202.84/202.74 => hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_c),c_Product__Type_Osnd(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) = V_ys_2 ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_number__of__code__numeral__def,axiom,
% 202.84/202.74 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) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_zip__map__fst__snd,axiom,
% 202.84/202.74 ! [V_zs_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_b),c_Product__Type_Ofst(T_b,T_c)),V_zs_2)),hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_c),c_Product__Type_Osnd(T_b,T_c)),V_zs_2)) = V_zs_2 ).
% 202.84/202.74
% 202.84/202.74 fof(fact_plus__code__numeral__code,axiom,
% 202.84/202.74 ! [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)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_less__eq__code__numeral__code,axiom,
% 202.84/202.74 ! [V_m_2,V_n_2] :
% 202.84/202.74 ( 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)))
% 202.84/202.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2)) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_subtract__code__numeral__code,axiom,
% 202.84/202.74 ! [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)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_pick__member,axiom,
% 202.84/202.74 ! [V_xs_2,T_b,V_i_2] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i_2),hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),tc_Code__Numeral_Ocode__numeral),c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_b)),V_xs_2))))
% 202.84/202.74 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Random_Opick(T_b,V_xs_2),V_i_2)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),T_b),c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral,T_b)),V_xs_2)))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_zip__eq__conv,axiom,
% 202.84/202.74 ! [V_zs_2,V_ys_2,T_c,V_xs_2,T_b] :
% 202.84/202.74 ( 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)
% 202.84/202.74 => ( hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2) = V_zs_2
% 202.84/202.74 <=> ( hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_b),c_Product__Type_Ofst(T_b,T_c)),V_zs_2) = V_xs_2
% 202.84/202.74 & hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_c),c_Product__Type_Osnd(T_b,T_c)),V_zs_2) = V_ys_2 ) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_list__size__conv__listsum,axiom,
% 202.84/202.74 ! [V_xs_2,V_f_2,T_b] : c_List_Olist_Olist__size(T_b,V_f_2,V_xs_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(T_b,tc_Nat_Onat),V_f_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_code__numeral__not__eq__zero,axiom,
% 202.84/202.74 ! [V_i_2] :
% 202.84/202.74 ( V_i_2 != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 202.84/202.74 <=> 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)) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_interv__listsum__conv__setsum__set__int,axiom,
% 202.84/202.74 ! [V_l_2,V_k_2,V_f_2,T_b] :
% 202.84/202.74 ( class_Groups_Ocomm__monoid__add(T_b)
% 202.84/202.74 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(tc_Int_Oint,T_b),V_f_2),c_List_Oupto(V_k_2,V_l_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),V_f_2),hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(V_k_2,V_l_2))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_setsum__set__upto__conv__listsum__int,axiom,
% 202.84/202.74 ! [V_j_2,V_i_2,V_f_2,T_b] :
% 202.84/202.74 ( class_Groups_Ocomm__monoid__add(T_b)
% 202.84/202.74 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),V_f_2),hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(V_i_2,V_j_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(tc_Int_Oint,T_b),V_f_2),c_List_Oupto(V_i_2,V_j_2))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_select__weight__member,axiom,
% 202.84/202.74 ! [V_s_2,V_xs_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)),hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),tc_Code__Numeral_Ocode__numeral),c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_b)),V_xs_2))))
% 202.84/202.74 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Product__Type_Ofst(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),hAPP(c_Random_Oselect__weight(T_b,V_xs_2),V_s_2))),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),T_b),c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral,T_b)),V_xs_2)))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_select__weight__def,axiom,
% 202.84/202.74 ! [V_xs_2,T_b] : c_Random_Oselect__weight(T_b,V_xs_2) = hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_Code__Numeral_Ocode__numeral,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),c_Random_Orange(hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),tc_Code__Numeral_Ocode__numeral),c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_b)),V_xs_2)))),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_Code__Numeral_Ocode__numeral),c_Product__Type_OPair(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),c_Random_Opick(T_b,V_xs_2))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_select__def,axiom,
% 202.84/202.74 ! [V_xs_2,T_b] : c_Random_Oselect(T_b,V_xs_2) = hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_Code__Numeral_Ocode__numeral,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),c_Random_Orange(hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_Code__Numeral_Ocode__numeral),c_Product__Type_OPair(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Code__Numeral_Ocode__numeral),hAPP(c_List_Onth(T_b),V_xs_2)),c_Code__Numeral_Onat__of))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_listsum__mono,axiom,
% 202.84/202.74 ! [V_g_2,V_f_2,V_xs_2,T_b,T_c] :
% 202.84/202.74 ( ( class_Groups_Omonoid__add(T_c)
% 202.84/202.74 & class_Groups_Oordered__ab__semigroup__add(T_c) )
% 202.84/202.74 => ( ! [B_x] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 202.84/202.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 202.84/202.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_g_2),V_xs_2)))) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_nat__of__inverse,axiom,
% 202.84/202.74 ! [V_x] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_x)) = V_x ).
% 202.84/202.74
% 202.84/202.74 fof(fact_of__nat__nat__of,axiom,
% 202.84/202.74 ! [V_k] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_k)) = V_k ).
% 202.84/202.74
% 202.84/202.74 fof(fact_nat__of__of__nat,axiom,
% 202.84/202.74 ! [V_n] : hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_n)) = V_n ).
% 202.84/202.74
% 202.84/202.74 fof(fact_times__code__numeral__def,axiom,
% 202.84/202.74 ! [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))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_Code__Numeral_Onat__of__inject,axiom,
% 202.84/202.74 ! [V_l_2,V_k_2] :
% 202.84/202.74 ( hAPP(c_Code__Numeral_Onat__of,V_k_2) = hAPP(c_Code__Numeral_Onat__of,V_l_2)
% 202.84/202.74 <=> V_k_2 = V_l_2 ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_code__numeral_Onat__of__inject,axiom,
% 202.84/202.74 ! [V_y_2,V_x_2] :
% 202.84/202.74 ( hAPP(c_Code__Numeral_Onat__of,V_x_2) = hAPP(c_Code__Numeral_Onat__of,V_y_2)
% 202.84/202.74 <=> V_x_2 = V_y_2 ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_type__definition__code__numeral,axiom,
% 202.84/202.74 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))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_less__code__numeral__def,axiom,
% 202.84/202.74 ! [V_m_2,V_n_2] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_n_2),V_m_2))
% 202.84/202.74 <=> 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))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_nat__of,axiom,
% 202.84/202.74 ! [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)))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_nat__of__number,axiom,
% 202.84/202.74 ! [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) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_int__of__def,axiom,
% 202.84/202.74 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) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_less__eq__code__numeral__def,axiom,
% 202.84/202.74 ! [V_m_2,V_n_2] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_n_2),V_m_2))
% 202.84/202.74 <=> 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))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_nat__of__code,axiom,
% 202.84/202.74 ! [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)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_nat__of__aux__def,axiom,
% 202.84/202.74 ! [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) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_Suc__code__numeral__def,axiom,
% 202.84/202.74 ! [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))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_minus__code__numeral__def,axiom,
% 202.84/202.74 ! [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))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_of__nat__inverse,axiom,
% 202.84/202.74 ! [V_y_2] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 202.84/202.74 => hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_y_2)) = V_y_2 ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_plus__code__numeral__def,axiom,
% 202.84/202.74 ! [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))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_div__code__numeral__def,axiom,
% 202.84/202.74 ! [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))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_mod__code__numeral__def,axiom,
% 202.84/202.74 ! [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))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_code__numeral__decr,axiom,
% 202.84/202.74 ! [V_k] :
% 202.84/202.74 ( V_k != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 202.84/202.74 => 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))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_New__DSequence_Opos__not__seq__def,axiom,
% 202.84/202.74 ! [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))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_partition__set,axiom,
% 202.84/202.74 ! [V_no_2,V_yes_2,V_xs_2,V_P_2,T_b] :
% 202.84/202.74 ( c_List_Opartition(T_b,V_P_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_yes_2),V_no_2)
% 202.84/202.74 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_yes_2)),hAPP(c_List_Oset(T_b),V_no_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_partition__P,axiom,
% 202.84/202.74 ! [V_no_2,V_yes_2,V_xs_2,V_P_2,T_b] :
% 202.84/202.74 ( c_List_Opartition(T_b,V_P_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_yes_2),V_no_2)
% 202.84/202.74 => ( ! [B_x] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_yes_2)))
% 202.84/202.74 => hBOOL(hAPP(V_P_2,B_x)) )
% 202.84/202.74 & ! [B_x] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_no_2)))
% 202.84/202.74 => ~ hBOOL(hAPP(V_P_2,B_x)) ) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_partition_Osimps_I1_J,axiom,
% 202.84/202.74 ! [V_P_2,T_b] : c_List_Opartition(T_b,V_P_2,c_List_Olist_ONil(T_b)) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_List_Olist_ONil(T_b)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_partition_Osimps_I2_J,axiom,
% 202.84/202.74 ! [V_xs_2,V_x_2,V_P_2,T_b] : c_List_Opartition(T_b,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_fun(tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_List_Olist(T_b)),c_COMBS(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_List_Olist(T_b),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_List_Olist(T_b)),hAPP(c_If(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(V_P_2,V_x_2)))),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_List_Olist(T_b)),c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(c_List_Olist_OCons(T_b),V_x_2))))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_List_Olist(T_b)),c_COMBB(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_List_Olist(T_b))),c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(c_List_Olist_OCons(T_b),V_x_2)))),c_List_Opartition(T_b,V_P_2,V_xs_2)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_lists__Int__eq,axiom,
% 202.84/202.74 ! [V_B_2,V_A_2,T_b] : c_List_Olistsp(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_List_Olist(T_b))),c_List_Olists(T_b,V_A_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_List_Olist(T_b))),c_List_Olists(T_b,V_B_2))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_lists__IntI,axiom,
% 202.84/202.74 ! [V_B_2,V_A_2,V_l_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_l_2),c_List_Olists(T_b,V_A_2)))
% 202.84/202.74 => ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_l_2),c_List_Olists(T_b,V_B_2)))
% 202.84/202.74 => hBOOL(hAPP(c_List_Olistsp(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))),V_l_2)) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_listsp_ONil,axiom,
% 202.84/202.74 ! [V_A_2,T_b] : hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),c_List_Olist_ONil(T_b))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_listsp_Oequations_I1_J,axiom,
% 202.84/202.74 ! [V_A_2,T_b] : hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),c_List_Olist_ONil(T_b))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_in__listsp__conv__set,axiom,
% 202.84/202.74 ! [V_xs_2,V_A_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_xs_2))
% 202.84/202.74 <=> ! [B_x] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 202.84/202.74 => hBOOL(hAPP(V_A_2,B_x)) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_listsp__conj__eq,axiom,
% 202.84/202.74 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(c_List_Olistsp(T_b,hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_A_2)),V_B_2)),V_x_2))
% 202.84/202.74 <=> ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_x_2))
% 202.84/202.74 & hBOOL(hAPP(c_List_Olistsp(T_b,V_B_2),V_x_2)) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_listsp__infI,axiom,
% 202.84/202.74 ! [V_B_2,V_l_2,V_A_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_l_2))
% 202.84/202.74 => ( hBOOL(hAPP(c_List_Olistsp(T_b,V_B_2),V_l_2))
% 202.84/202.74 => hBOOL(hAPP(c_List_Olistsp(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_l_2)) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_listsp__inf__eq,axiom,
% 202.84/202.74 ! [V_B_2,V_A_2,T_b] : c_List_Olistsp(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),c_List_Olistsp(T_b,V_A_2)),c_List_Olistsp(T_b,V_B_2)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_listsp_Oequations_I2_J,axiom,
% 202.84/202.74 ! [V_a2_2,V_a1_2,V_A_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a1_2),V_a2_2)))
% 202.84/202.74 <=> ( hBOOL(hAPP(V_A_2,V_a1_2))
% 202.84/202.74 & hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_a2_2)) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_append__in__listsp__conv,axiom,
% 202.84/202.74 ! [V_ys_2,V_xs_2,V_A_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)))
% 202.84/202.74 <=> ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_xs_2))
% 202.84/202.74 & hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_ys_2)) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_listsp__mono,axiom,
% 202.84/202.74 ! [V_B_2,V_A_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 202.84/202.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),c_List_Olistsp(T_b,V_A_2)),c_List_Olistsp(T_b,V_B_2))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_listsp__lists__eq,axiom,
% 202.84/202.74 ! [V_x_2,V_A_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(c_List_Olistsp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)),V_x_2))
% 202.84/202.74 <=> hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_x_2),c_List_Olists(T_b,V_A_2))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_product_Osimps_I2_J,axiom,
% 202.84/202.74 ! [V_ys_2,V_xs_2,V_x_2,T_c,T_b] : c_Enum_Oproduct(T_b,T_c,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2),V_ys_2) = hAPP(hAPP(c_List_Oappend(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Omap(T_c,tc_prod(T_b,T_c)),hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2)),V_ys_2)),c_Enum_Oproduct(T_b,T_c,V_xs_2,V_ys_2)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_list__all2__def,axiom,
% 202.84/202.74 ! [V_ys_2,V_xs_2,V_P_2,T_c,T_b] :
% 202.84/202.74 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2)
% 202.84/202.74 <=> ( 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)
% 202.84/202.74 & ! [B_x] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),B_x),hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2))))
% 202.84/202.74 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_P_2),B_x)) ) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_list__all2__map2,axiom,
% 202.84/202.74 ! [V_bs_2,V_f_2,T_d,V_as_2,V_P_2,T_c,T_b] :
% 202.84/202.74 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_as_2,hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_bs_2))
% 202.84/202.74 <=> c_List_Olist__all2(T_b,T_d,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_d,T_c),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_d,T_c),tc_fun(T_d,tc_HOL_Obool)),T_b),c_COMBB(T_c,tc_HOL_Obool,T_d)),V_P_2)),V_f_2),V_as_2,V_bs_2) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_list__all2__map1,axiom,
% 202.84/202.74 ! [V_bs_2,V_as_2,V_f_2,T_d,V_P_2,T_c,T_b] :
% 202.84/202.74 ( c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(hAPP(c_List_Omap(T_d,T_b),V_f_2),V_as_2),V_bs_2)
% 202.84/202.74 <=> c_List_Olist__all2(T_d,T_c,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_HOL_Obool),T_d),V_P_2),V_f_2),V_as_2,V_bs_2) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_list__all2__dropI,axiom,
% 202.84/202.74 ! [V_n_2,V_bs_2,V_as_2,V_P_2,T_c,T_b] :
% 202.84/202.74 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_as_2,V_bs_2)
% 202.84/202.74 => c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_as_2),hAPP(hAPP(c_List_Odrop(T_c),V_n_2),V_bs_2)) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_list__all2__appendI,axiom,
% 202.84/202.74 ! [V_d_2,V_c_2,V_b_2,V_a_2,V_P_2,T_c,T_b] :
% 202.84/202.74 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_a_2,V_b_2)
% 202.84/202.74 => ( c_List_Olist__all2(T_b,T_c,V_P_2,V_c_2,V_d_2)
% 202.84/202.74 => c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(hAPP(c_List_Oappend(T_b),V_a_2),V_c_2),hAPP(hAPP(c_List_Oappend(T_c),V_b_2),V_d_2)) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_list__all2__append,axiom,
% 202.84/202.74 ! [V_vs_2,V_us_2,V_P_2,V_ys_2,T_c,V_xs_2,T_b] :
% 202.84/202.74 ( 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)
% 202.84/202.74 => ( c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_us_2),hAPP(hAPP(c_List_Oappend(T_c),V_ys_2),V_vs_2))
% 202.84/202.74 <=> ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2)
% 202.84/202.74 & c_List_Olist__all2(T_b,T_c,V_P_2,V_us_2,V_vs_2) ) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_list__all2__Cons,axiom,
% 202.84/202.74 ! [V_ys_2,V_y_2,V_xs_2,V_x_2,V_P_2,T_c,T_b] :
% 202.84/202.74 ( c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2))
% 202.84/202.74 <=> ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2))
% 202.84/202.74 & c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_list__all2__takeI,axiom,
% 202.84/202.74 ! [V_n_2,V_ys_2,V_xs_2,V_P_2,T_c,T_b] :
% 202.84/202.74 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2)
% 202.84/202.74 => c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2),hAPP(hAPP(c_List_Otake(T_c),V_n_2),V_ys_2)) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_list__all2__eq,axiom,
% 202.84/202.74 ! [T_b,V_ys_2,V_xs_2] :
% 202.84/202.74 ( V_xs_2 = V_ys_2
% 202.84/202.74 <=> c_List_Olist__all2(T_b,T_b,c_fequal,V_xs_2,V_ys_2) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_list__all2__lengthD,axiom,
% 202.84/202.74 ! [V_ys_2,V_xs_2,V_P_2,T_c,T_b] :
% 202.84/202.74 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2)
% 202.84/202.74 => 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) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_list__all2__Nil,axiom,
% 202.84/202.74 ! [V_ys_2,V_P_2,T_c,T_b] :
% 202.84/202.74 ( c_List_Olist__all2(T_b,T_c,V_P_2,c_List_Olist_ONil(T_b),V_ys_2)
% 202.84/202.74 <=> V_ys_2 = c_List_Olist_ONil(T_c) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_list__all2__Nil2,axiom,
% 202.84/202.74 ! [V_xs_2,V_P_2,T_c,T_b] :
% 202.84/202.74 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,c_List_Olist_ONil(T_c))
% 202.84/202.74 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_product_Osimps_I1_J,axiom,
% 202.84/202.74 ! [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)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_list__all2__conv__all__nth,axiom,
% 202.84/202.74 ! [V_ys_2,V_xs_2,V_P_2,T_c,T_b] :
% 202.84/202.74 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2)
% 202.84/202.74 <=> ( 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)
% 202.84/202.74 & ! [B_i] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 202.84/202.74 => hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i)),hAPP(hAPP(c_List_Onth(T_c),V_ys_2),B_i))) ) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_list__all2__nthD,axiom,
% 202.84/202.74 ! [V_p_2,V_ys_2,V_xs_2,V_P_2,T_c,T_b] :
% 202.84/202.74 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2)
% 202.84/202.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_p_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 202.84/202.74 => hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_p_2)),hAPP(hAPP(c_List_Onth(T_c),V_ys_2),V_p_2))) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_list__all2__nthD2,axiom,
% 202.84/202.74 ! [V_p_2,V_ys_2,V_xs_2,V_P_2,T_c,T_b] :
% 202.84/202.74 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2)
% 202.84/202.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_p_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)))
% 202.84/202.74 => hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_p_2)),hAPP(hAPP(c_List_Onth(T_c),V_ys_2),V_p_2))) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_list__all2__update__cong,axiom,
% 202.84/202.74 ! [V_y_2,V_x_2,V_ys_2,V_P_2,T_c,V_xs_2,T_b,V_i_2] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 202.84/202.74 => ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2)
% 202.84/202.74 => ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2))
% 202.84/202.74 => c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2),hAPP(hAPP(c_List_Olist__update(T_c,V_ys_2),V_i_2),V_y_2)) ) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_list__all2__update__cong2,axiom,
% 202.84/202.74 ! [V_i_2,V_y_2,V_x_2,V_ys_2,V_xs_2,V_P_2,T_c,T_b] :
% 202.84/202.74 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2)
% 202.84/202.74 => ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2))
% 202.84/202.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)))
% 202.84/202.74 => c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2),hAPP(hAPP(c_List_Olist__update(T_c,V_ys_2),V_i_2),V_y_2)) ) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_distinct__product,axiom,
% 202.84/202.74 ! [V_ys,T_b,V_xs,T_a] :
% 202.84/202.74 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 202.84/202.74 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_ys))
% 202.84/202.74 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),c_Enum_Oproduct(T_a,T_b,V_xs,V_ys))) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_product__list__set,axiom,
% 202.84/202.74 ! [V_ys_2,V_xs_2,T_c,T_b] : hAPP(c_List_Oset(tc_prod(T_b,T_c)),c_Enum_Oproduct(T_b,T_c,V_xs_2,V_ys_2)) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_List_Oset(T_c),V_ys_2))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_sublists__powset,axiom,
% 202.84/202.74 ! [V_xs_2,T_b] : hAPP(c_Set_Oimage(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),c_List_Oset(T_b)),hAPP(c_List_Oset(tc_List_Olist(T_b)),c_Enum_Osublists(T_b,V_xs_2))) = hAPP(c_Set_OPow(T_b),hAPP(c_List_Oset(T_b),V_xs_2)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_length__sublists,axiom,
% 202.84/202.74 ! [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)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_sublists_Osimps_I1_J,axiom,
% 202.84/202.74 ! [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))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_sublists_Osimps_I2_J,axiom,
% 202.84/202.74 ! [V_xs_2,V_x_2,T_b] : c_Enum_Osublists(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_HOL_OLet(tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),c_Enum_Osublists(T_b,V_xs_2)),hAPP(hAPP(c_COMBS(tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_List_Olist(tc_List_Olist(T_b)),tc_fun(tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),tc_List_Olist(tc_List_Olist(T_b))),c_List_Oappend(tc_List_Olist(T_b))),hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(c_List_Olist_OCons(T_b),V_x_2)))),c_COMBI(tc_List_Olist(tc_List_Olist(T_b))))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_distinct__set__sublists,axiom,
% 202.84/202.74 ! [V_xs_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 202.84/202.74 => hBOOL(hAPP(c_List_Odistinct(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool)),c_List_Oset(T_b)),c_Enum_Osublists(T_b,V_xs_2)))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_set__n__lists,axiom,
% 202.84/202.74 ! [V_xs_2,V_n_2,T_b] : hAPP(c_List_Oset(tc_List_Olist(T_b)),c_Enum_On__lists(T_b,V_n_2,V_xs_2)) = hAPP(c_Set_OCollect(tc_List_Olist(T_b)),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),V_n_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),c_List_Oset(T_b))),hAPP(c_List_Oset(T_b),V_xs_2)))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_enum__the__def,axiom,
% 202.84/202.74 ! [V_P_2,T_b] : c_Enum_Oenum__the(T_b,V_P_2) = c_HOL_OThe(T_b,V_P_2) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_distinct__n__lists,axiom,
% 202.84/202.74 ! [V_n,V_xs,T_a] :
% 202.84/202.74 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 202.84/202.74 => hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_a)),c_Enum_On__lists(T_a,V_n,V_xs))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_n__lists__Nil,axiom,
% 202.84/202.74 ! [T_a,V_n] :
% 202.84/202.74 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.84/202.74 => 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))) )
% 202.84/202.74 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.84/202.74 => c_Enum_On__lists(T_a,V_n,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(tc_List_Olist(T_a)) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_n__lists_Osimps_I1_J,axiom,
% 202.84/202.74 ! [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))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_length__n__lists,axiom,
% 202.84/202.74 ! [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) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_length__n__lists__elem,axiom,
% 202.84/202.74 ! [V_xs_2,V_n_2,V_ys_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_ys_2),hAPP(c_List_Oset(tc_List_Olist(T_b)),c_Enum_On__lists(T_b,V_n_2,V_xs_2))))
% 202.84/202.74 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) = V_n_2 ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_list__all2I,axiom,
% 202.84/202.74 ! [V_P_2,V_b_2,V_a_2,T_c,T_b] :
% 202.84/202.74 ( ! [B_x] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),B_x),hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_a_2),V_b_2))))
% 202.84/202.74 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_P_2),B_x)) )
% 202.84/202.74 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_a_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_b_2)
% 202.84/202.74 => c_List_Olist__all2(T_b,T_c,V_P_2,V_a_2,V_b_2) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_all__nth__imp__all__set,axiom,
% 202.84/202.74 ! [V_x_2,V_P_2,V_xs_2,T_b] :
% 202.84/202.74 ( ! [B_i] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 202.84/202.74 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) )
% 202.84/202.74 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 202.84/202.74 => hBOOL(hAPP(V_P_2,V_x_2)) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_fun__left__comm_Ofold__set__remdups,axiom,
% 202.84/202.74 ! [V_xs_2,V_y_2,V_f_2,T_c,T_b] :
% 202.84/202.74 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 202.84/202.74 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_List_Ofoldl(T_c,T_b,hAPP(c_COMBC(T_b,T_c,T_c),V_f_2),V_y_2),c_List_Oremdups(T_b,V_xs_2)) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_map__removeAll__inj__on,axiom,
% 202.84/202.74 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] :
% 202.84/202.74 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 202.84/202.74 => hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),hAPP(c_List_OremoveAll(T_b,V_x_2),V_xs_2)) = hAPP(c_List_OremoveAll(T_c,hAPP(V_f_2,V_x_2)),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_distinct__remdups,axiom,
% 202.84/202.74 ! [V_xs,T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremdups(T_a,V_xs))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_length__remdups__leq,axiom,
% 202.84/202.74 ! [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))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_distinct__remdups__id,axiom,
% 202.84/202.74 ! [V_xs,T_a] :
% 202.84/202.74 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 202.84/202.74 => c_List_Oremdups(T_a,V_xs) = V_xs ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_distinct__removeAll,axiom,
% 202.84/202.74 ! [V_x,V_xs,T_a] :
% 202.84/202.74 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 202.84/202.74 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_OremoveAll(T_a,V_x),V_xs))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_remdups__id__iff__distinct,axiom,
% 202.84/202.74 ! [V_xs_2,T_b] :
% 202.84/202.74 ( c_List_Oremdups(T_b,V_xs_2) = V_xs_2
% 202.84/202.74 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_set__remdups,axiom,
% 202.84/202.74 ! [V_xs_2,T_b] : hAPP(c_List_Oset(T_b),c_List_Oremdups(T_b,V_xs_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_length__remdups__eq,axiom,
% 202.84/202.74 ! [V_xs_2,T_b] :
% 202.84/202.74 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oremdups(T_b,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)
% 202.84/202.74 <=> c_List_Oremdups(T_b,V_xs_2) = V_xs_2 ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_remdups__remdups,axiom,
% 202.84/202.74 ! [V_xs,T_a] : c_List_Oremdups(T_a,c_List_Oremdups(T_a,V_xs)) = c_List_Oremdups(T_a,V_xs) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_remdups__eq__nil__iff,axiom,
% 202.84/202.74 ! [V_x_2,T_b] :
% 202.84/202.74 ( c_List_Oremdups(T_b,V_x_2) = c_List_Olist_ONil(T_b)
% 202.84/202.74 <=> V_x_2 = c_List_Olist_ONil(T_b) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_removeAll_Osimps_I1_J,axiom,
% 202.84/202.74 ! [V_x,T_a] : hAPP(c_List_OremoveAll(T_a,V_x),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_remdups__eq__nil__right__iff,axiom,
% 202.84/202.74 ! [V_x_2,T_b] :
% 202.84/202.74 ( c_List_Olist_ONil(T_b) = c_List_Oremdups(T_b,V_x_2)
% 202.84/202.74 <=> V_x_2 = c_List_Olist_ONil(T_b) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_remdups_Osimps_I1_J,axiom,
% 202.84/202.74 ! [T_a] : c_List_Oremdups(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_removeAll_Osimps_I2_J,axiom,
% 202.84/202.74 ! [V_xs,T_a,V_y,V_x] :
% 202.84/202.74 ( ( V_x = V_y
% 202.84/202.74 => 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) )
% 202.84/202.74 & ( V_x != V_y
% 202.84/202.74 => 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)) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_removeAll__append,axiom,
% 202.84/202.74 ! [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)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_remdups__map__remdups,axiom,
% 202.84/202.74 ! [V_xs_2,V_f_2,T_c,T_b] : c_List_Oremdups(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Oremdups(T_c,V_xs_2))) = c_List_Oremdups(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_remove1__remdups,axiom,
% 202.84/202.74 ! [V_x,V_xs,T_a] :
% 202.84/202.74 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 202.84/202.74 => 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)) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_removeAll__id,axiom,
% 202.84/202.74 ! [V_xs_2,V_x_2,T_b] :
% 202.84/202.74 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 202.84/202.74 => hAPP(c_List_OremoveAll(T_b,V_x_2),V_xs_2) = V_xs_2 ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_distinct__remove1__removeAll,axiom,
% 202.84/202.74 ! [V_x,V_xs,T_a] :
% 202.84/202.74 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 202.84/202.74 => c_List_Oremove1(T_a,V_x,V_xs) = hAPP(c_List_OremoveAll(T_a,V_x),V_xs) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_remdups_Osimps_I2_J,axiom,
% 202.84/202.74 ! [V_xs_2,V_x_2,T_b] :
% 202.84/202.74 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 202.84/202.74 => c_List_Oremdups(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_List_Oremdups(T_b,V_xs_2) )
% 202.84/202.74 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 202.84/202.74 => c_List_Oremdups(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Oremdups(T_b,V_xs_2)) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_length__remdups__card__conv,axiom,
% 202.84/202.74 ! [V_xs_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oremdups(T_b,V_xs_2)) = hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_List_Oset(T_b),V_xs_2)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_map__removeAll__inj,axiom,
% 202.84/202.74 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] :
% 202.84/202.74 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 202.84/202.74 => hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),hAPP(c_List_OremoveAll(T_b,V_x_2),V_xs_2)) = hAPP(c_List_OremoveAll(T_c,hAPP(V_f_2,V_x_2)),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_set__removeAll,axiom,
% 202.84/202.74 ! [V_xs_2,V_x_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_OremoveAll(T_b,V_x_2),V_xs_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_length__remdups__concat,axiom,
% 202.84/202.74 ! [V_xss_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oremdups(T_b,c_List_Oconcat(T_b,V_xss_2))) = hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2)),c_List_Oset(T_b))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_sorted__list__of__set__sort__remdups,axiom,
% 202.84/202.74 ! [V_xs_2,T_b] :
% 202.84/202.74 ( class_Orderings_Olinorder(T_b)
% 202.84/202.74 => c_List_Olinorder__class_Osorted__list__of__set(T_b,hAPP(c_List_Oset(T_b),V_xs_2)) = c_List_Olinorder__class_Osort__key(T_b,T_b,c_COMBI(T_b),c_List_Oremdups(T_b,V_xs_2)) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_sort__key__simps_I1_J,axiom,
% 202.84/202.74 ! [V_f_2,T_b,T_c] :
% 202.84/202.74 ( class_Orderings_Olinorder(T_c)
% 202.84/202.74 => c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_b) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_foldl__conv__concat,axiom,
% 202.84/202.74 ! [V_xss_2,V_xs_2,T_b] : hAPP(c_List_Ofoldl(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Oappend(T_b),V_xs_2),V_xss_2) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),c_List_Oconcat(T_b,V_xss_2)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_concat__conv__foldl,axiom,
% 202.84/202.74 ! [V_xss_2,T_b] : c_List_Oconcat(T_b,V_xss_2) = hAPP(c_List_Ofoldl(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Oappend(T_b),c_List_Olist_ONil(T_b)),V_xss_2) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_length__sort,axiom,
% 202.84/202.74 ! [V_xs_2,V_f_2,T_b,T_c] :
% 202.84/202.74 ( class_Orderings_Olinorder(T_c)
% 202.84/202.74 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_set__sort,axiom,
% 202.84/202.74 ! [V_xs_2,V_f_2,T_b,T_c] :
% 202.84/202.74 ( class_Orderings_Olinorder(T_c)
% 202.84/202.74 => hAPP(c_List_Oset(T_b),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_distinct__sort,axiom,
% 202.84/202.74 ! [V_xs_2,V_f_2,T_b,T_c] :
% 202.84/202.74 ( class_Orderings_Olinorder(T_c)
% 202.84/202.74 => ( hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2)))
% 202.84/202.74 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_concat_Osimps_I1_J,axiom,
% 202.84/202.74 ! [T_a] : c_List_Oconcat(T_a,c_List_Olist_ONil(tc_List_Olist(T_a))) = c_List_Olist_ONil(T_a) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_concat_Osimps_I2_J,axiom,
% 202.84/202.74 ! [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)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_concat__eq__Nil__conv,axiom,
% 202.84/202.74 ! [V_xss_2,T_b] :
% 202.84/202.74 ( c_List_Oconcat(T_b,V_xss_2) = c_List_Olist_ONil(T_b)
% 202.84/202.74 <=> ! [B_x] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2)))
% 202.84/202.74 => B_x = c_List_Olist_ONil(T_b) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_Nil__eq__concat__conv,axiom,
% 202.84/202.74 ! [V_xss_2,T_b] :
% 202.84/202.74 ( c_List_Olist_ONil(T_b) = c_List_Oconcat(T_b,V_xss_2)
% 202.84/202.74 <=> ! [B_x] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2)))
% 202.84/202.74 => B_x = c_List_Olist_ONil(T_b) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_map__concat,axiom,
% 202.84/202.74 ! [V_xs_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Oconcat(T_c,V_xs_2)) = c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_c),tc_List_Olist(T_b)),hAPP(c_List_Omap(T_c,T_b),V_f_2)),V_xs_2)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_length__concat,axiom,
% 202.84/202.74 ! [V_xss_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oconcat(T_b,V_xss_2)) = hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xss_2)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_set__concat,axiom,
% 202.84/202.74 ! [V_xs_2,T_b] : hAPP(c_List_Oset(T_b),c_List_Oconcat(T_b,V_xs_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)),c_List_Oset(T_b)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_sort__key__simps_I2_J,axiom,
% 202.84/202.74 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 202.84/202.74 ( class_Orderings_Olinorder(T_c)
% 202.84/202.74 => c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2)) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_concat__append,axiom,
% 202.84/202.74 ! [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)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_sort__foldl__insort,axiom,
% 202.84/202.74 ! [V_xs_2,T_b] :
% 202.84/202.74 ( class_Orderings_Olinorder(T_b)
% 202.84/202.74 => c_List_Olinorder__class_Osort__key(T_b,T_b,c_COMBI(T_b),V_xs_2) = hAPP(c_List_Ofoldl(tc_List_Olist(T_b),T_b,hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b))),c_List_Olist_ONil(T_b)),V_xs_2) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_concat__eq__concat__iff,axiom,
% 202.84/202.74 ! [V_ys_2,V_xs_2,T_b] :
% 202.84/202.74 ( ! [B_x] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),B_x),hAPP(c_List_Oset(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_List_Ozip(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2))))
% 202.84/202.74 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),B_x)) )
% 202.84/202.74 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_ys_2)
% 202.84/202.74 => ( c_List_Oconcat(T_b,V_xs_2) = c_List_Oconcat(T_b,V_ys_2)
% 202.84/202.74 <=> V_xs_2 = V_ys_2 ) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_concat__injective,axiom,
% 202.84/202.74 ! [V_ys_2,V_xs_2,T_b] :
% 202.84/202.74 ( c_List_Oconcat(T_b,V_xs_2) = c_List_Oconcat(T_b,V_ys_2)
% 202.84/202.74 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_ys_2)
% 202.84/202.74 => ( ! [B_x] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),B_x),hAPP(c_List_Oset(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_List_Ozip(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2))))
% 202.84/202.74 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),B_x)) )
% 202.84/202.74 => V_xs_2 = V_ys_2 ) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_concat__map__singleton,axiom,
% 202.84/202.74 ! [V_xs_2,V_f_2,T_c,T_b] : c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(T_c,tc_List_Olist(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_c),c_List_Olist_OCons(T_b)),V_f_2)),c_List_Olist_ONil(T_b))),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_n__lists_Osimps_I2_J,axiom,
% 202.84/202.74 ! [V_xs_2,V_n_2,T_b] : c_Enum_On__lists(T_b,hAPP(c_Nat_OSuc,V_n_2),V_xs_2) = c_List_Oconcat(tc_List_Olist(T_b),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),tc_List_Olist(T_b)),c_List_Omap(T_b,tc_List_Olist(T_b))),hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)))),V_xs_2)),c_Enum_On__lists(T_b,V_n_2,V_xs_2))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_transpose_Osimps_I3_J,axiom,
% 202.84/202.74 ! [V_xss_2,V_xs_2,V_x_2,T_b] : c_List_Otranspose(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_xss_2)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_Olist__case(tc_List_Olist(T_b),T_b,c_List_Olist_ONil(T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_b),c_COMBK(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b))))),V_xss_2)))),c_List_Otranspose(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),V_xs_2),c_List_Oconcat(tc_List_Olist(T_b),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(T_b)),T_b,c_List_Olist_ONil(tc_List_Olist(T_b)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_OCons(tc_List_Olist(T_b))),c_List_Olist_ONil(tc_List_Olist(T_b)))))),V_xss_2))))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_transpose__aux__filter__head,axiom,
% 202.84/202.74 ! [V_xss_2,T_b] : c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_Olist__case(tc_List_Olist(T_b),T_b,c_List_Olist_ONil(T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_b),c_COMBK(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b))))),V_xss_2)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),T_b),c_List_Ohd(T_b)),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_b)))),V_xss_2)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_filter__concat,axiom,
% 202.84/202.74 ! [V_xs_2,V_p_2,T_b] : hAPP(c_List_Ofilter(T_b,V_p_2),c_List_Oconcat(T_b,V_xs_2)) = c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Ofilter(T_b,V_p_2)),V_xs_2)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_filter__sort,axiom,
% 202.84/202.74 ! [V_xs_2,V_f_2,V_P_2,T_b,T_c] :
% 202.84/202.74 ( class_Orderings_Olinorder(T_c)
% 202.84/202.74 => hAPP(c_List_Ofilter(T_b,V_P_2),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2)) = c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2)) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_distinct__filter,axiom,
% 202.84/202.74 ! [V_P_2,V_xs_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 202.84/202.74 => hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_filter__is__subset,axiom,
% 202.84/202.74 ! [V_xs_2,V_P_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_filter__id__conv,axiom,
% 202.84/202.74 ! [V_xs_2,V_P_2,T_b] :
% 202.84/202.74 ( hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2) = V_xs_2
% 202.84/202.74 <=> ! [B_x] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 202.84/202.74 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_length__filter__le,axiom,
% 202.84/202.74 ! [V_xs_2,V_P_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_sum__length__filter__compl,axiom,
% 202.84/202.74 ! [V_xs_2,V_P_2,T_b] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_P_2)),V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_filter__filter,axiom,
% 202.84/202.74 ! [V_xs_2,V_Q_2,V_P_2,T_b] : hAPP(c_List_Ofilter(T_b,V_P_2),hAPP(c_List_Ofilter(T_b,V_Q_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Q_2)),V_P_2)),V_xs_2) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_filter__remove1,axiom,
% 202.84/202.74 ! [V_xs_2,V_x_2,V_Q_2,T_b] : hAPP(c_List_Ofilter(T_b,V_Q_2),c_List_Oremove1(T_b,V_x_2,V_xs_2)) = c_List_Oremove1(T_b,V_x_2,hAPP(c_List_Ofilter(T_b,V_Q_2),V_xs_2)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_remove1__filter__not,axiom,
% 202.84/202.74 ! [V_xs_2,T_b,V_x_2,V_P_2] :
% 202.84/202.74 ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 202.84/202.74 => c_List_Oremove1(T_b,V_x_2,hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_filter__insort__triv,axiom,
% 202.84/202.74 ! [V_xs_2,V_f_2,T_b,V_x_2,V_P_2,T_c] :
% 202.84/202.74 ( class_Orderings_Olinorder(T_c)
% 202.84/202.74 => ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 202.84/202.74 => hAPP(c_List_Ofilter(T_b,V_P_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_partition__filter1,axiom,
% 202.84/202.74 ! [V_xs_2,V_P_2,T_b] : hAPP(c_Product__Type_Ofst(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Opartition(T_b,V_P_2,V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_partition__filter2,axiom,
% 202.84/202.74 ! [V_xs_2,V_P_2,T_b] : hAPP(c_Product__Type_Osnd(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Opartition(T_b,V_P_2,V_xs_2)) = hAPP(c_List_Ofilter(T_b,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,T_b,c_fNot),V_P_2)),V_xs_2) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_partition__filter__conv,axiom,
% 202.84/202.74 ! [V_xs_2,V_f_2,T_b] : c_List_Opartition(T_b,V_f_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_f_2),V_xs_2)),hAPP(c_List_Ofilter(T_b,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,T_b,c_fNot),V_f_2)),V_xs_2)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_filter__map,axiom,
% 202.84/202.74 ! [V_xs_2,V_f_2,T_c,V_P_2,T_b] : hAPP(c_List_Ofilter(T_b,V_P_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Ofilter(T_c,hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,T_c,V_P_2),V_f_2)),V_xs_2)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_filter_Osimps_I1_J,axiom,
% 202.84/202.74 ! [V_P_2,T_b] : hAPP(c_List_Ofilter(T_b,V_P_2),c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_b) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_transpose_Osimps_I1_J,axiom,
% 202.84/202.74 ! [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)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_filter_Osimps_I2_J,axiom,
% 202.84/202.74 ! [V_xs_2,T_b,V_x_2,V_P_2] :
% 202.84/202.74 ( ( hBOOL(hAPP(V_P_2,V_x_2))
% 202.84/202.74 => hAPP(c_List_Ofilter(T_b,V_P_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2)) )
% 202.84/202.74 & ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 202.84/202.74 => hAPP(c_List_Ofilter(T_b,V_P_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_filter__append,axiom,
% 202.84/202.74 ! [V_ys_2,V_xs_2,V_P_2,T_b] : hAPP(c_List_Ofilter(T_b,V_P_2),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2)),hAPP(c_List_Ofilter(T_b,V_P_2),V_ys_2)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_filter__empty__conv,axiom,
% 202.84/202.74 ! [V_xs_2,V_P_2,T_b] :
% 202.84/202.74 ( hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 202.84/202.74 <=> ! [B_x] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 202.84/202.74 => ~ hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_length__filter__map,axiom,
% 202.84/202.74 ! [V_xs_2,V_f_2,T_c,V_P_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_P_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),hAPP(c_List_Ofilter(T_c,hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,T_c,V_P_2),V_f_2)),V_xs_2)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_removeAll__filter__not__eq,axiom,
% 202.84/202.74 ! [V_x_2,T_b] : c_List_OremoveAll(T_b,V_x_2) = c_List_Ofilter(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(c_fequal,V_x_2))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_remdups__filter,axiom,
% 202.84/202.74 ! [V_xs_2,V_P_2,T_b] : c_List_Oremdups(T_b,hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_P_2),c_List_Oremdups(T_b,V_xs_2)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_removeAll__filter__not,axiom,
% 202.84/202.74 ! [V_xs_2,T_b,V_x_2,V_P_2] :
% 202.84/202.74 ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 202.84/202.74 => hAPP(c_List_OremoveAll(T_b,V_x_2),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_transpose_Osimps_I2_J,axiom,
% 202.84/202.74 ! [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) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_nth__transpose,axiom,
% 202.84/202.74 ! [V_xs_2,T_b,V_i_2] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2))))
% 202.84/202.74 => hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),c_List_Otranspose(T_b,V_xs_2)),V_i_2) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,T_b),c_List_Onth(T_b)),V_i_2)),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),V_xs_2)) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_transpose__map__map,axiom,
% 202.84/202.74 ! [V_xs_2,V_f_2,T_c,T_b] : c_List_Otranspose(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_c),tc_List_Olist(T_b)),hAPP(c_List_Omap(T_c,T_b),V_f_2)),V_xs_2)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_c),tc_List_Olist(T_b)),hAPP(c_List_Omap(T_c,T_b),V_f_2)),c_List_Otranspose(T_c,V_xs_2)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_set__filter,axiom,
% 202.84/202.74 ! [V_xs_2,V_P_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2)) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),hAPP(c_List_Oset(T_b),V_xs_2)))),V_P_2)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_length__filter__less,axiom,
% 202.84/202.74 ! [V_P_2,V_xs_2,V_x_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 202.84/202.74 => ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 202.84/202.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_set__minus__filter__out,axiom,
% 202.84/202.74 ! [V_y_2,V_xs_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_List_Oset(T_b),hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_y_2))),V_xs_2)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_filter__in__sublist,axiom,
% 202.84/202.74 ! [V_s_2,V_xs_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 202.84/202.74 => hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),hAPP(c_List_Oset(T_b),c_List_Osublist(T_b,V_xs_2,V_s_2)))),V_xs_2) = c_List_Osublist(T_b,V_xs_2,V_s_2) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_transpose__empty,axiom,
% 202.84/202.74 ! [V_xs_2,T_b] :
% 202.84/202.74 ( c_List_Otranspose(T_b,V_xs_2) = c_List_Olist_ONil(tc_List_Olist(T_b))
% 202.84/202.74 <=> ! [B_x] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 202.84/202.74 => B_x = c_List_Olist_ONil(T_b) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_length__filter__conv__card,axiom,
% 202.84/202.74 ! [V_xs_2,V_p_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_p_2),V_xs_2)) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))),hAPP(hAPP(c_COMBB(T_b,tc_HOL_Obool,tc_Nat_Onat),V_p_2),hAPP(c_List_Onth(T_b),V_xs_2))))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_transpose__aux__filter__tail,axiom,
% 202.84/202.74 ! [V_xss_2,T_b] : c_List_Oconcat(tc_List_Olist(T_b),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(T_b)),T_b,c_List_Olist_ONil(tc_List_Olist(T_b)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_OCons(tc_List_Olist(T_b))),c_List_Olist_ONil(tc_List_Olist(T_b)))))),V_xss_2)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Otl(T_b)),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_b)))),V_xss_2)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_transpose_Opsimps_I3_J,axiom,
% 202.84/202.74 ! [V_xss_2,V_xs_2,V_x_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(T_b)),c_List_Otranspose__rel(T_b)),hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_xss_2)))
% 202.84/202.74 => c_List_Otranspose(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_xss_2)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_Olist__case(tc_List_Olist(T_b),T_b,c_List_Olist_ONil(T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_b),c_COMBK(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b))))),V_xss_2)))),c_List_Otranspose(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),V_xs_2),c_List_Oconcat(tc_List_Olist(T_b),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(T_b)),T_b,c_List_Olist_ONil(tc_List_Olist(T_b)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_OCons(tc_List_Olist(T_b))),c_List_Olist_ONil(tc_List_Olist(T_b)))))),V_xss_2))))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_transpose_Opsimps_I2_J,axiom,
% 202.84/202.74 ! [V_xss_2,T_b] :
% 202.84/202.74 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(T_b)),c_List_Otranspose__rel(T_b)),hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_xss_2)))
% 202.84/202.74 => c_List_Otranspose(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_xss_2)) = c_List_Otranspose(T_b,V_xss_2) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_sublist__shift__lemma__Suc,axiom,
% 202.84/202.74 ! [V_is_2,V_xs_2,V_P_2,T_b] : hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_prod(T_b,tc_Nat_Onat)),V_P_2),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_prod(T_b,tc_Nat_Onat)),c_Nat_OSuc),c_Product__Type_Osnd(T_b,tc_Nat_Onat)))),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),V_is_2))) = hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_prod(T_b,tc_Nat_Onat)),V_P_2),c_Product__Type_Osnd(T_b,tc_Nat_Onat))),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),V_is_2)))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_select__weigth__drop__zero,axiom,
% 202.84/202.74 ! [V_xs_2,T_b] : c_Random_Oselect__weight(T_b,hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool),tc_Code__Numeral_Ocode__numeral),c_COMBK(tc_HOL_Obool,T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))),V_xs_2)) = c_Random_Oselect__weight(T_b,V_xs_2) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_pick__drop__zero,axiom,
% 202.84/202.74 ! [V_xs_2,T_b] : c_Random_Opick(T_b,hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool),tc_Code__Numeral_Ocode__numeral),c_COMBK(tc_HOL_Obool,T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))),V_xs_2)) = c_Random_Opick(T_b,V_xs_2) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_transpose_Opsimps_I1_J,axiom,
% 202.84/202.74 ! [T_b] :
% 202.84/202.74 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(T_b)),c_List_Otranspose__rel(T_b)),c_List_Olist_ONil(tc_List_Olist(T_b))))
% 202.84/202.74 => c_List_Otranspose(T_b,c_List_Olist_ONil(tc_List_Olist(T_b))) = c_List_Olist_ONil(tc_List_Olist(T_b)) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_transpose__max__length,axiom,
% 202.84/202.74 ! [V_xs_2,T_b] : c_List_Ofoldr(tc_List_Olist(T_b),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_b)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_b)))),V_xs_2)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_transpose__aux__max,axiom,
% 202.84/202.74 ! [V_xss_2,T_c,V_xs_2,T_b] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))),c_List_Ofoldr(tc_List_Olist(T_c),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_c)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_c))),V_xss_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),c_List_Ofoldr(tc_List_Olist(T_c),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_c)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_c),tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_c)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_c)))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(c_List_Ofilter(tc_List_Olist(T_c),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_c)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_c),tc_List_Olist(T_c),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_c)))),V_xss_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_foldr_Osimps_I1_J,axiom,
% 202.84/202.74 ! [V_a_2,V_f_2,T_b,T_c] : c_List_Ofoldr(T_c,T_b,V_f_2,c_List_Olist_ONil(T_c),V_a_2) = V_a_2 ).
% 202.84/202.74
% 202.84/202.74 fof(fact_foldr_Osimps_I2_J,axiom,
% 202.84/202.74 ! [V_a_2,V_xs_2,V_x_2,V_f_2,T_b,T_c] : c_List_Ofoldr(T_c,T_b,V_f_2,hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2),V_a_2) = hAPP(hAPP(V_f_2,V_x_2),c_List_Ofoldr(T_c,T_b,V_f_2,V_xs_2,V_a_2)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_foldr__append,axiom,
% 202.84/202.74 ! [V_a_2,V_ys_2,V_xs_2,V_f_2,T_b,T_c] : c_List_Ofoldr(T_c,T_b,V_f_2,hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),V_ys_2),V_a_2) = c_List_Ofoldr(T_c,T_b,V_f_2,V_xs_2,c_List_Ofoldr(T_c,T_b,V_f_2,V_ys_2,V_a_2)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_foldr__conv__foldl,axiom,
% 202.84/202.74 ! [V_a_2,V_xs_2,T_b] :
% 202.84/202.74 ( class_Groups_Oab__semigroup__add(T_b)
% 202.84/202.74 => c_List_Ofoldr(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_xs_2,V_a_2) = hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_xs_2) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_foldr__map,axiom,
% 202.84/202.74 ! [V_a_2,V_xs_2,V_f_2,T_d,V_g_2,T_b,T_c] : c_List_Ofoldr(T_c,T_b,V_g_2,hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_xs_2),V_a_2) = c_List_Ofoldr(T_d,T_b,hAPP(c_Fun_Ocomp(T_c,tc_fun(T_b,T_b),T_d,V_g_2),V_f_2),V_xs_2,V_a_2) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_foldl__foldr1__lemma,axiom,
% 202.84/202.74 ! [V_xs_2,V_a_2,T_b] :
% 202.84/202.74 ( class_Groups_Omonoid__add(T_b)
% 202.84/202.74 => hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_xs_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),c_List_Ofoldr(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_xs_2,c_Groups_Ozero__class_Ozero(T_b))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_foldl__foldr1,axiom,
% 202.84/202.74 ! [V_xs_2,T_b] :
% 202.84/202.74 ( class_Groups_Omonoid__add(T_b)
% 202.84/202.74 => hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_xs_2) = c_List_Ofoldr(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_xs_2,c_Groups_Ozero__class_Ozero(T_b)) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_length__transpose,axiom,
% 202.84/202.74 ! [V_xs_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2)) = c_List_Ofoldr(tc_List_Olist(T_b),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_b)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_sublist__def,axiom,
% 202.84/202.74 ! [V_A_2,V_xs_2,T_b] : c_List_Osublist(T_b,V_xs_2,V_A_2) = hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_prod(T_b,tc_Nat_Onat),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_prod(T_b,tc_Nat_Onat)),c_member(tc_Nat_Onat)),c_Product__Type_Osnd(T_b,tc_Nat_Onat))),V_A_2)),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_sublist__shift__lemma,axiom,
% 202.84/202.74 ! [V_i_2,V_xs_2,V_A_2,T_b] : hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_prod(T_b,tc_Nat_Onat),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_prod(T_b,tc_Nat_Onat)),c_member(tc_Nat_Onat)),c_Product__Type_Osnd(T_b,tc_Nat_Onat))),V_A_2)),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),c_List_Oupt(V_i_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))))) = hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_prod(T_b,tc_Nat_Onat),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_prod(T_b,tc_Nat_Onat)),c_member(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_prod(T_b,tc_Nat_Onat),tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_prod(T_b,tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Product__Type_Osnd(T_b,tc_Nat_Onat))),V_i_2))),V_A_2)),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))))) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_atLeastLessThan__upt,axiom,
% 202.84/202.74 ! [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)) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_set__upt,axiom,
% 202.84/202.74 ! [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) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_upt__Suc,axiom,
% 202.84/202.74 ! [V_j,V_i] :
% 202.84/202.74 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 202.84/202.74 => 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))) )
% 202.84/202.74 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 202.84/202.74 => c_List_Oupt(V_i,hAPP(c_Nat_OSuc,V_j)) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_upt__Suc__append,axiom,
% 202.84/202.74 ! [V_j,V_i] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 202.84/202.74 => 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))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_upt__add__eq__append,axiom,
% 202.84/202.74 ! [V_k,V_j,V_i] :
% 202.84/202.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 202.84/202.74 => 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))) ) ).
% 202.84/202.74
% 202.84/202.74 fof(fact_upt__rec,axiom,
% 202.84/202.74 ! [V_j,V_i] :
% 202.84/202.74 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 202.84/202.75 => 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)) )
% 202.84/202.75 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 202.84/202.75 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_upt__conv__Cons,axiom,
% 202.84/202.75 ! [V_j,V_i] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 202.84/202.75 => 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)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_upt__eq__Nil__conv,axiom,
% 202.84/202.75 ! [V_j_2,V_i_2] :
% 202.84/202.75 ( c_List_Oupt(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Nat_Onat)
% 202.84/202.75 <=> ( V_j_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.84/202.75 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_upt__conv__Nil,axiom,
% 202.84/202.75 ! [V_i,V_j] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i))
% 202.84/202.75 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_upt__0,axiom,
% 202.84/202.75 ! [V_i] : c_List_Oupt(V_i,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_List_Olist_ONil(tc_Nat_Onat) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_take__upt,axiom,
% 202.84/202.75 ! [V_n,V_m,V_i] :
% 202.84/202.75 ( 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))
% 202.84/202.75 => 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)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_sorted__list__of__set__range,axiom,
% 202.84/202.75 ! [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) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_hd__upt,axiom,
% 202.84/202.75 ! [V_j,V_i] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 202.84/202.75 => hAPP(c_List_Ohd(tc_Nat_Onat),c_List_Oupt(V_i,V_j)) = V_i ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_drop__upt,axiom,
% 202.84/202.75 ! [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) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_distinct__upt,axiom,
% 202.84/202.75 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Nat_Onat),c_List_Oupt(V_i,V_j))) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_length__upt,axiom,
% 202.84/202.75 ! [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) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_upt__rec__number__of,axiom,
% 202.84/202.75 ! [V_n,V_m] :
% 202.84/202.75 ( ( 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)))
% 202.84/202.75 => 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))) )
% 202.84/202.75 & ( ~ 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)))
% 202.84/202.75 => 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) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_upt__eq__Cons__conv,axiom,
% 202.84/202.75 ! [V_xs_2,V_x_2,V_j_2,V_i_2] :
% 202.84/202.75 ( c_List_Oupt(V_i_2,V_j_2) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_x_2),V_xs_2)
% 202.84/202.75 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_j_2))
% 202.84/202.75 & V_i_2 = V_x_2
% 202.84/202.75 & 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 ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_last__upt,axiom,
% 202.84/202.75 ! [V_j,V_i] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 202.84/202.75 => 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)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_map__Suc__upt,axiom,
% 202.84/202.75 ! [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)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_atLeastAtMost__upt,axiom,
% 202.84/202.75 ! [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))) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_atLeast__upt,axiom,
% 202.84/202.75 ! [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)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_nth__upt,axiom,
% 202.84/202.75 ! [V_j,V_k,V_i] :
% 202.84/202.75 ( 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))
% 202.84/202.75 => 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) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_greaterThanAtMost__upt,axiom,
% 202.84/202.75 ! [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))) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_greaterThanLessThan__upt,axiom,
% 202.84/202.75 ! [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)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_atMost__upto,axiom,
% 202.84/202.75 ! [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))) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_map__nth,axiom,
% 202.84/202.75 ! [V_xs_2,T_b] : hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),hAPP(c_List_Onth(T_b),V_xs_2)),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) = V_xs_2 ).
% 202.84/202.75
% 202.84/202.75 fof(fact_interv__listsum__conv__setsum__set__nat,axiom,
% 202.84/202.75 ! [V_n_2,V_m_2,V_f_2,T_b] :
% 202.84/202.75 ( class_Groups_Ocomm__monoid__add(T_b)
% 202.84/202.75 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),V_f_2),c_List_Oupt(V_m_2,V_n_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_m_2,V_n_2))) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_setsum__set__upt__conv__listsum__nat,axiom,
% 202.84/202.75 ! [V_n_2,V_m_2,V_f_2,T_b] :
% 202.84/202.75 ( class_Groups_Ocomm__monoid__add(T_b)
% 202.84/202.75 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_m_2,V_n_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),V_f_2),c_List_Oupt(V_m_2,V_n_2))) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_nth__map__upt,axiom,
% 202.84/202.75 ! [V_f_2,T_b,V_m_2,V_n_2,V_i_2] :
% 202.84/202.75 ( 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)))
% 202.84/202.75 => hAPP(hAPP(c_List_Onth(T_b),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),V_f_2),c_List_Oupt(V_m_2,V_n_2))),V_i_2) = hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_i_2)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_transpose__rectangle,axiom,
% 202.84/202.75 ! [V_n_2,T_b,V_xs_2] :
% 202.84/202.75 ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_b))
% 202.84/202.75 => V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 202.84/202.75 => ( ! [B_i] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2)))
% 202.84/202.75 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2),B_i)) = V_n_2 )
% 202.84/202.75 => c_List_Otranspose(T_b,V_xs_2) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_List_Olist(T_b)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(tc_Nat_Onat),tc_List_Olist(T_b)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,T_b),tc_fun(tc_List_Olist(tc_Nat_Onat),tc_List_Olist(T_b)),tc_Nat_Onat),c_List_Omap(tc_Nat_Onat,T_b)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_Nat_Onat,T_b),tc_Nat_Onat),c_List_Onth(T_b)),hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2))))),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2)))),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2)) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_insort__key__remove1,axiom,
% 202.84/202.75 ! [V_f_2,V_xs_2,V_a_2,T_b,T_c] :
% 202.84/202.75 ( class_Orderings_Olinorder(T_c)
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 202.84/202.75 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2))
% 202.84/202.75 => ( hAPP(c_List_Ohd(T_b),hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBB(T_c,tc_HOL_Obool,T_b),hAPP(c_fequal,hAPP(V_f_2,V_a_2))),V_f_2)),V_xs_2)) = V_a_2
% 202.84/202.75 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_a_2),c_List_Oremove1(T_b,V_a_2,V_xs_2)) = V_xs_2 ) ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_sorted_ONil,axiom,
% 202.84/202.75 ! [T_a] :
% 202.84/202.75 ( class_Orderings_Olinorder(T_a)
% 202.84/202.75 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_sorted__single,axiom,
% 202.84/202.75 ! [V_x,T_a] :
% 202.84/202.75 ( class_Orderings_Olinorder(T_a)
% 202.84/202.75 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a))) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_sorted__upt,axiom,
% 202.84/202.75 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Nat_Onat,c_List_Oupt(V_i,V_j)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_sorted__sort,axiom,
% 202.84/202.75 ! [V_xs_2,T_b] :
% 202.84/202.75 ( class_Orderings_Olinorder(T_b)
% 202.84/202.75 => c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Osort__key(T_b,T_b,c_COMBI(T_b),V_xs_2)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_sorted__insort__insert,axiom,
% 202.84/202.75 ! [V_x_2,V_xs_2,T_b] :
% 202.84/202.75 ( class_Orderings_Olinorder(T_b)
% 202.84/202.75 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 202.84/202.75 => c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2)) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_sorted__drop,axiom,
% 202.84/202.75 ! [V_n,V_xs,T_a] :
% 202.84/202.75 ( class_Orderings_Olinorder(T_a)
% 202.84/202.75 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 202.84/202.75 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_sorted__upto,axiom,
% 202.84/202.75 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Int_Oint,c_List_Oupto(V_i,V_j)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_sorted__take,axiom,
% 202.84/202.75 ! [V_n,V_xs,T_a] :
% 202.84/202.75 ( class_Orderings_Olinorder(T_a)
% 202.84/202.75 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 202.84/202.75 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_sorted__remove1,axiom,
% 202.84/202.75 ! [V_a,V_xs,T_a] :
% 202.84/202.75 ( class_Orderings_Olinorder(T_a)
% 202.84/202.75 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 202.84/202.75 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremove1(T_a,V_a,V_xs)) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_sorted__tl,axiom,
% 202.84/202.75 ! [V_xs,T_a] :
% 202.84/202.75 ( class_Orderings_Olinorder(T_a)
% 202.84/202.75 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 202.84/202.75 => c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Otl(T_a),V_xs)) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_sorted__insort,axiom,
% 202.84/202.75 ! [V_xs_2,V_x_2,T_b] :
% 202.84/202.75 ( class_Orderings_Olinorder(T_b)
% 202.84/202.75 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),V_xs_2))
% 202.84/202.75 <=> c_List_Olinorder__class_Osorted(T_b,V_xs_2) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_sorted__butlast,axiom,
% 202.84/202.75 ! [V_xs,T_a] :
% 202.84/202.75 ( class_Orderings_Olinorder(T_a)
% 202.84/202.75 => ( V_xs != c_List_Olist_ONil(T_a)
% 202.84/202.75 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 202.84/202.75 => c_List_Olinorder__class_Osorted(T_a,c_List_Obutlast(T_a,V_xs)) ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_sorted_Oequations_I1_J,axiom,
% 202.84/202.75 ! [T_a] :
% 202.84/202.75 ( class_Orderings_Olinorder(T_a)
% 202.84/202.75 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_sorted__many,axiom,
% 202.84/202.75 ! [V_zs,V_y,V_x,T_a] :
% 202.84/202.75 ( class_Orderings_Olinorder(T_a)
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 202.84/202.75 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_zs))
% 202.84/202.75 => 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))) ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_sorted__many__eq,axiom,
% 202.84/202.75 ! [V_zs_2,V_y_2,V_x_2,T_b] :
% 202.84/202.75 ( class_Orderings_Olinorder(T_b)
% 202.84/202.75 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_zs_2)))
% 202.84/202.75 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 202.84/202.75 & c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_zs_2)) ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_sorted__remdups,axiom,
% 202.84/202.75 ! [V_l,T_a] :
% 202.84/202.75 ( class_Orderings_Olinorder(T_a)
% 202.84/202.75 => ( c_List_Olinorder__class_Osorted(T_a,V_l)
% 202.84/202.75 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremdups(T_a,V_l)) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_sorted__distinct__set__unique,axiom,
% 202.84/202.75 ! [V_ys_2,V_xs_2,T_b] :
% 202.84/202.75 ( class_Orderings_Olinorder(T_b)
% 202.84/202.75 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 202.84/202.75 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 202.84/202.75 => ( c_List_Olinorder__class_Osorted(T_b,V_ys_2)
% 202.84/202.75 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_ys_2))
% 202.84/202.75 => ( hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_List_Oset(T_b),V_ys_2)
% 202.84/202.75 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_sorted__sort__key,axiom,
% 202.84/202.75 ! [V_xs_2,V_f_2,T_c,T_b] :
% 202.84/202.75 ( class_Orderings_Olinorder(T_b)
% 202.84/202.75 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Olinorder__class_Osort__key(T_c,T_b,V_f_2,V_xs_2))) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_sorted__insort__insert__key,axiom,
% 202.84/202.75 ! [V_x_2,V_xs_2,V_f_2,T_c,T_b] :
% 202.84/202.75 ( class_Orderings_Olinorder(T_b)
% 202.84/202.75 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 202.84/202.75 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Olinorder__class_Oinsort__insert__key(T_c,T_b,V_f_2,V_x_2,V_xs_2))) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_sorted__map__remove1,axiom,
% 202.84/202.75 ! [V_x_2,V_xs_2,V_f_2,T_c,T_b] :
% 202.84/202.75 ( class_Orderings_Olinorder(T_b)
% 202.84/202.75 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 202.84/202.75 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Oremove1(T_c,V_x_2,V_xs_2))) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_sorted__insort__key,axiom,
% 202.84/202.75 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] :
% 202.84/202.75 ( class_Orderings_Olinorder(T_b)
% 202.84/202.75 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_xs_2)))
% 202.84/202.75 <=> c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_sorted__map__same,axiom,
% 202.84/202.75 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] :
% 202.84/202.75 ( class_Orderings_Olinorder(T_b)
% 202.84/202.75 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Ofilter(T_c,hAPP(hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,tc_HOL_Obool),T_c),c_fequal),V_f_2)),hAPP(V_g_2,V_xs_2))),V_xs_2))) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_sorted__filter,axiom,
% 202.84/202.75 ! [V_P_2,V_xs_2,V_f_2,T_c,T_b] :
% 202.84/202.75 ( class_Orderings_Olinorder(T_b)
% 202.84/202.75 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 202.84/202.75 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Ofilter(T_c,V_P_2),V_xs_2))) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_sorted__same,axiom,
% 202.84/202.75 ! [V_xs_2,V_g_2,T_b] :
% 202.84/202.75 ( class_Orderings_Olinorder(T_b)
% 202.84/202.75 => c_List_Olinorder__class_Osorted(T_b,hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),hAPP(V_g_2,V_xs_2))),V_xs_2)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_sorted__Cons,axiom,
% 202.84/202.75 ! [V_xs_2,V_x_2,T_b] :
% 202.84/202.75 ( class_Orderings_Olinorder(T_b)
% 202.84/202.75 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 202.84/202.75 <=> ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 202.84/202.75 & ! [B_x] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 202.84/202.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_sorted__append,axiom,
% 202.84/202.75 ! [V_ys_2,V_xs_2,T_b] :
% 202.84/202.75 ( class_Orderings_Olinorder(T_b)
% 202.84/202.75 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))
% 202.84/202.75 <=> ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 202.84/202.75 & c_List_Olinorder__class_Osorted(T_b,V_ys_2)
% 202.84/202.75 & ! [B_x] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 202.84/202.75 => ! [B_xa] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(c_List_Oset(T_b),V_ys_2)))
% 202.84/202.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) ) ) ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_filter__insort,axiom,
% 202.84/202.75 ! [V_x_2,V_P_2,V_xs_2,V_f_2,T_c,T_b] :
% 202.84/202.75 ( class_Orderings_Olinorder(T_b)
% 202.84/202.75 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 202.84/202.75 => ( hBOOL(hAPP(V_P_2,V_x_2))
% 202.84/202.75 => hAPP(c_List_Ofilter(T_c,V_P_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),hAPP(c_List_Ofilter(T_c,V_P_2),V_xs_2)) ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_sorted_Oequations_I2_J,axiom,
% 202.84/202.75 ! [V_a1_2,V_a2_2,T_b] :
% 202.84/202.75 ( class_Orderings_Olinorder(T_b)
% 202.84/202.75 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_a2_2),V_a1_2))
% 202.84/202.75 <=> ( ! [B_x] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_a1_2)))
% 202.84/202.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a2_2),B_x)) )
% 202.84/202.75 & c_List_Olinorder__class_Osorted(T_b,V_a1_2) ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_sorted__list__of__set,axiom,
% 202.84/202.75 ! [V_A_2,T_b] :
% 202.84/202.75 ( class_Orderings_Olinorder(T_b)
% 202.84/202.75 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.84/202.75 => ( hAPP(c_List_Oset(T_b),c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2)) = V_A_2
% 202.84/202.75 & c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2))
% 202.84/202.75 & hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2))) ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_insort__remove1,axiom,
% 202.84/202.75 ! [V_xs_2,V_a_2,T_b] :
% 202.84/202.75 ( class_Orderings_Olinorder(T_b)
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 202.84/202.75 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 202.84/202.75 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_a_2),c_List_Oremove1(T_b,V_a_2,V_xs_2)) = V_xs_2 ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_sorted__nth__mono,axiom,
% 202.84/202.75 ! [V_j,V_i,V_xs,T_a] :
% 202.84/202.75 ( class_Orderings_Olinorder(T_a)
% 202.84/202.75 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 202.84/202.75 => ( 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)))
% 202.84/202.75 => 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))) ) ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_sorted__equals__nth__mono,axiom,
% 202.84/202.75 ! [V_xs_2,T_b] :
% 202.84/202.75 ( class_Orderings_Olinorder(T_b)
% 202.84/202.75 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 202.84/202.75 <=> ! [B_j] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 202.84/202.75 => ! [B_i] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j))
% 202.84/202.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i)),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_j))) ) ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_map__sorted__distinct__set__unique,axiom,
% 202.84/202.75 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] :
% 202.84/202.75 ( class_Orderings_Olinorder(T_c)
% 202.84/202.75 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_ys_2)))
% 202.84/202.75 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2))
% 202.84/202.75 => ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)))
% 202.84/202.75 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2))
% 202.84/202.75 => ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2)))
% 202.84/202.75 => ( hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_List_Oset(T_b),V_ys_2)
% 202.84/202.75 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_transpose__column,axiom,
% 202.84/202.75 ! [V_i_2,V_xs_2,T_b] :
% 202.84/202.75 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2)))
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2)))
% 202.84/202.75 => hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,T_b),c_List_Onth(T_b)),V_i_2)),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),c_List_Otranspose(T_b,V_xs_2))) = hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2),V_i_2) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_nth__nth__transpose__sorted,axiom,
% 202.84/202.75 ! [V_j_2,V_i_2,V_xs_2,T_b] :
% 202.84/202.75 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2)))
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2))))
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),V_xs_2))))
% 202.84/202.75 => hAPP(hAPP(c_List_Onth(T_b),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),c_List_Otranspose(T_b,V_xs_2)),V_i_2)),V_j_2) = hAPP(hAPP(c_List_Onth(T_b),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2),V_j_2)),V_i_2) ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_inj__on__rev,axiom,
% 202.84/202.75 ! [V_A_2,T_b] : c_Fun_Oinj__on(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Orev(T_b),V_A_2) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_distinct__rev,axiom,
% 202.84/202.75 ! [V_xs_2,T_b] :
% 202.84/202.75 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orev(T_b),V_xs_2)))
% 202.84/202.75 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_rev__is__Nil__conv,axiom,
% 202.84/202.75 ! [V_xs_2,T_b] :
% 202.84/202.75 ( hAPP(c_List_Orev(T_b),V_xs_2) = c_List_Olist_ONil(T_b)
% 202.84/202.75 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_Nil__is__rev__conv,axiom,
% 202.84/202.75 ! [V_xs_2,T_b] :
% 202.84/202.75 ( c_List_Olist_ONil(T_b) = hAPP(c_List_Orev(T_b),V_xs_2)
% 202.84/202.75 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_rev_Osimps_I1_J,axiom,
% 202.84/202.75 ! [T_a] : hAPP(c_List_Orev(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_singleton__rev__conv,axiom,
% 202.84/202.75 ! [V_xs_2,V_x_2,T_b] :
% 202.84/202.75 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) = hAPP(c_List_Orev(T_b),V_xs_2)
% 202.84/202.75 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_rev__singleton__conv,axiom,
% 202.84/202.75 ! [V_x_2,V_xs_2,T_b] :
% 202.84/202.75 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b))
% 202.84/202.75 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_rev__append,axiom,
% 202.84/202.75 ! [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)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_rev__concat,axiom,
% 202.84/202.75 ! [V_xs_2,T_b] : hAPP(c_List_Orev(T_b),c_List_Oconcat(T_b,V_xs_2)) = c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Orev(T_b)),hAPP(c_List_Orev(tc_List_Olist(T_b)),V_xs_2))) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_rev__map,axiom,
% 202.84/202.75 ! [V_xs_2,V_f_2,T_c,T_b] : hAPP(c_List_Orev(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Orev(T_c),V_xs_2)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_rev__filter,axiom,
% 202.84/202.75 ! [V_xs_2,V_P_2,T_b] : hAPP(c_List_Orev(T_b),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_P_2),hAPP(c_List_Orev(T_b),V_xs_2)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_zip__rev,axiom,
% 202.84/202.75 ! [V_ys,T_b,V_xs,T_a] :
% 202.84/202.75 ( 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)
% 202.84/202.75 => 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)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_set__rev,axiom,
% 202.84/202.75 ! [V_xs_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_Orev(T_b),V_xs_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_list__all2__rev,axiom,
% 202.84/202.75 ! [V_ys_2,V_xs_2,V_P_2,T_c,T_b] :
% 202.84/202.75 ( c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(c_List_Orev(T_b),V_xs_2),hAPP(c_List_Orev(T_c),V_ys_2))
% 202.84/202.75 <=> c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_list__all2__rev1,axiom,
% 202.84/202.75 ! [V_ys_2,V_xs_2,V_P_2,T_c,T_b] :
% 202.84/202.75 ( c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(c_List_Orev(T_b),V_xs_2),V_ys_2)
% 202.84/202.75 <=> c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,hAPP(c_List_Orev(T_c),V_ys_2)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_rev__rev__ident,axiom,
% 202.84/202.75 ! [V_xs,T_a] : hAPP(c_List_Orev(T_a),hAPP(c_List_Orev(T_a),V_xs)) = V_xs ).
% 202.84/202.75
% 202.84/202.75 fof(fact_rev__swap,axiom,
% 202.84/202.75 ! [V_ys_2,V_xs_2,T_b] :
% 202.84/202.75 ( hAPP(c_List_Orev(T_b),V_xs_2) = V_ys_2
% 202.84/202.75 <=> V_xs_2 = hAPP(c_List_Orev(T_b),V_ys_2) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_rev__is__rev__conv,axiom,
% 202.84/202.75 ! [V_ys_2,V_xs_2,T_b] :
% 202.84/202.75 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(c_List_Orev(T_b),V_ys_2)
% 202.84/202.75 <=> V_xs_2 = V_ys_2 ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_listsum__rev,axiom,
% 202.84/202.75 ! [V_xs,T_a] :
% 202.84/202.75 ( class_Groups_Ocomm__monoid__add(T_a)
% 202.84/202.75 => 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) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_length__rev,axiom,
% 202.84/202.75 ! [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) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_foldl__foldr,axiom,
% 202.84/202.75 ! [V_xs_2,V_a_2,V_f_2,T_c,T_b] : hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,V_a_2),V_xs_2) = c_List_Ofoldr(T_c,T_b,hAPP(c_COMBC(T_b,T_c,T_b),V_f_2),hAPP(c_List_Orev(T_c),V_xs_2),V_a_2) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_foldr__foldl,axiom,
% 202.84/202.75 ! [V_a_2,V_xs_2,V_f_2,T_b,T_c] : c_List_Ofoldr(T_c,T_b,V_f_2,V_xs_2,V_a_2) = hAPP(c_List_Ofoldl(T_b,T_c,hAPP(c_COMBC(T_c,T_b,T_b),V_f_2),V_a_2),hAPP(c_List_Orev(T_c),V_xs_2)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_rev__eq__Cons__iff,axiom,
% 202.84/202.75 ! [V_ys_2,V_y_2,V_xs_2,T_b] :
% 202.84/202.75 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)
% 202.84/202.75 <=> V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),hAPP(c_List_Orev(T_b),V_ys_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),c_List_Olist_ONil(T_b))) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_rev_Osimps_I2_J,axiom,
% 202.84/202.75 ! [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))) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_hd__rev,axiom,
% 202.84/202.75 ! [T_a,V_xs] :
% 202.84/202.75 ( V_xs != c_List_Olist_ONil(T_a)
% 202.84/202.75 => hAPP(c_List_Ohd(T_a),hAPP(c_List_Orev(T_a),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_last__rev,axiom,
% 202.84/202.75 ! [T_a,V_xs] :
% 202.84/202.75 ( V_xs != c_List_Olist_ONil(T_a)
% 202.84/202.75 => c_List_Olast(T_a,hAPP(c_List_Orev(T_a),V_xs)) = hAPP(c_List_Ohd(T_a),V_xs) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_sorted__transpose,axiom,
% 202.84/202.75 ! [V_xs_2,T_b] : c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2)))) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_rev__foldl__cons,axiom,
% 202.84/202.75 ! [V_xs_2,T_b] : hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(c_List_Ofoldl(tc_List_Olist(T_b),T_b,hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b)),V_xs_2) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_rev__take,axiom,
% 202.84/202.75 ! [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)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_rev__drop,axiom,
% 202.84/202.75 ! [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)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_rotate__rev,axiom,
% 202.84/202.75 ! [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)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_rev__nth,axiom,
% 202.84/202.75 ! [V_xs,T_a,V_n] :
% 202.84/202.75 ( 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)))
% 202.84/202.75 => 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))) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_rev__update,axiom,
% 202.84/202.75 ! [V_y,V_xs,T_a,V_k] :
% 202.84/202.75 ( 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)))
% 202.84/202.75 => 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) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_sorted__rev__nth__mono,axiom,
% 202.84/202.75 ! [V_j,V_i,V_xs,T_a] :
% 202.84/202.75 ( class_Orderings_Olinorder(T_a)
% 202.84/202.75 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Orev(T_a),V_xs))
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 202.84/202.75 => ( 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)))
% 202.84/202.75 => 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))) ) ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_foldr__max__sorted,axiom,
% 202.84/202.75 ! [V_y_2,V_xs_2,T_b] :
% 202.84/202.75 ( class_Orderings_Olinorder(T_b)
% 202.84/202.75 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(c_List_Orev(T_b),V_xs_2))
% 202.84/202.75 => ( ( V_xs_2 = c_List_Olist_ONil(T_b)
% 202.84/202.75 => c_List_Ofoldr(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_xs_2,V_y_2) = V_y_2 )
% 202.84/202.75 & ( V_xs_2 != c_List_Olist_ONil(T_b)
% 202.84/202.75 => c_List_Ofoldr(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_xs_2,V_y_2) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_y_2) ) ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_length__transpose__sorted,axiom,
% 202.84/202.75 ! [V_xs_2,T_b] :
% 202.84/202.75 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2)))
% 202.84/202.75 => ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_b))
% 202.84/202.75 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 202.84/202.75 & ( V_xs_2 != c_List_Olist_ONil(tc_List_Olist(T_b))
% 202.84/202.75 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_transpose__column__length,axiom,
% 202.84/202.75 ! [V_i_2,V_xs_2,T_b] :
% 202.84/202.75 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2)))
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2)))
% 202.84/202.75 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),c_List_Otranspose(T_b,V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2),V_i_2)) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_transpose__transpose,axiom,
% 202.84/202.75 ! [V_xs_2,T_b] :
% 202.84/202.75 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2)))
% 202.84/202.75 => c_List_Otranspose(T_b,c_List_Otranspose(T_b,V_xs_2)) = c_List_OtakeWhile(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_b))),V_xs_2) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_transfer__nat__int__list__functions_I2_J,axiom,
% 202.84/202.75 c_List_Olist_ONil(tc_Nat_Onat) = c_List_Oreturn__list(c_List_Olist_ONil(tc_Int_Oint)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_sorted__takeWhile,axiom,
% 202.84/202.75 ! [V_P_2,V_xs_2,T_b] :
% 202.84/202.75 ( class_Orderings_Olinorder(T_b)
% 202.84/202.75 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 202.84/202.75 => c_List_Olinorder__class_Osorted(T_b,c_List_OtakeWhile(T_b,V_P_2,V_xs_2)) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_length__takeWhile__le,axiom,
% 202.84/202.75 ! [V_xs_2,V_P_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_P_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_takeWhile__eq__all__conv,axiom,
% 202.84/202.75 ! [V_xs_2,V_P_2,T_b] :
% 202.84/202.75 ( c_List_OtakeWhile(T_b,V_P_2,V_xs_2) = V_xs_2
% 202.84/202.75 <=> ! [B_x] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 202.84/202.75 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_set__takeWhileD,axiom,
% 202.84/202.75 ! [V_xs_2,V_P_2,V_x_2,T_b] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_OtakeWhile(T_b,V_P_2,V_xs_2))))
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 202.84/202.75 & hBOOL(hAPP(V_P_2,V_x_2)) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_zip__takeWhile__snd,axiom,
% 202.84/202.75 ! [V_ys_2,V_P_2,V_xs_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),c_List_OtakeWhile(T_c,V_P_2,V_ys_2)) = c_List_OtakeWhile(tc_prod(T_b,T_c),hAPP(c_Fun_Ocomp(T_c,tc_HOL_Obool,tc_prod(T_b,T_c),V_P_2),c_Product__Type_Osnd(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_zip__takeWhile__fst,axiom,
% 202.84/202.75 ! [V_ys_2,V_xs_2,V_P_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),c_List_OtakeWhile(T_b,V_P_2,V_xs_2)),V_ys_2) = c_List_OtakeWhile(tc_prod(T_b,T_c),hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,tc_prod(T_b,T_c),V_P_2),c_Product__Type_Ofst(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_takeWhile__map,axiom,
% 202.84/202.75 ! [V_xs_2,V_f_2,T_c,V_P_2,T_b] : c_List_OtakeWhile(T_b,V_P_2,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_OtakeWhile(T_c,hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,T_c,V_P_2),V_f_2),V_xs_2)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_takeWhile__tail,axiom,
% 202.84/202.75 ! [V_l_2,V_xs_2,T_b,V_x_2,V_P_2] :
% 202.84/202.75 ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 202.84/202.75 => c_List_OtakeWhile(T_b,V_P_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_l_2))) = c_List_OtakeWhile(T_b,V_P_2,V_xs_2) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_takeWhile_Osimps_I2_J,axiom,
% 202.84/202.75 ! [V_xs_2,T_b,V_x_2,V_P_2] :
% 202.84/202.75 ( ( hBOOL(hAPP(V_P_2,V_x_2))
% 202.84/202.75 => c_List_OtakeWhile(T_b,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_OtakeWhile(T_b,V_P_2,V_xs_2)) )
% 202.84/202.75 & ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 202.84/202.75 => c_List_OtakeWhile(T_b,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_List_Olist_ONil(T_b) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_takeWhile_Osimps_I1_J,axiom,
% 202.84/202.75 ! [V_P_2,T_b] : c_List_OtakeWhile(T_b,V_P_2,c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_b) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_takeWhile__eq__take,axiom,
% 202.84/202.75 ! [V_xs_2,V_P_2,T_b] : c_List_OtakeWhile(T_b,V_P_2,V_xs_2) = hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_P_2,V_xs_2))),V_xs_2) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_distinct__takeWhile,axiom,
% 202.84/202.75 ! [V_P_2,V_xs_2,T_b] :
% 202.84/202.75 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 202.84/202.75 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_OtakeWhile(T_b,V_P_2,V_xs_2))) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_return__list__def,axiom,
% 202.84/202.75 ! [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) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_takeWhile__append1,axiom,
% 202.84/202.75 ! [V_ys_2,V_P_2,V_xs_2,V_x_2,T_b] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 202.84/202.75 => ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 202.84/202.75 => c_List_OtakeWhile(T_b,V_P_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = c_List_OtakeWhile(T_b,V_P_2,V_xs_2) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_takeWhile__nth,axiom,
% 202.84/202.75 ! [V_xs_2,V_P_2,T_b,V_j_2] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_P_2,V_xs_2))))
% 202.84/202.75 => hAPP(hAPP(c_List_Onth(T_b),c_List_OtakeWhile(T_b,V_P_2,V_xs_2)),V_j_2) = hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_j_2) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_nth__length__takeWhile,axiom,
% 202.84/202.75 ! [V_xs_2,V_P_2,T_b] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_P_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 202.84/202.75 => ~ hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_P_2,V_xs_2))))) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_takeWhile__not__last,axiom,
% 202.84/202.75 ! [T_b,V_xs_2] :
% 202.84/202.75 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 202.84/202.75 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 202.84/202.75 => c_List_OtakeWhile(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),c_List_Olast(T_b,V_xs_2))),V_xs_2) = c_List_Obutlast(T_b,V_xs_2) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_filter__equals__takeWhile__sorted__rev,axiom,
% 202.84/202.75 ! [V_t_2,V_xs_2,V_f_2,T_c,T_b] :
% 202.84/202.75 ( class_Orderings_Olinorder(T_b)
% 202.84/202.75 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(c_List_Orev(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)))
% 202.84/202.75 => hAPP(c_List_Ofilter(T_c,hAPP(hAPP(c_COMBB(T_b,tc_HOL_Obool,T_c),hAPP(c_Orderings_Oord__class_Oless(T_b),V_t_2)),V_f_2)),V_xs_2) = c_List_OtakeWhile(T_c,hAPP(hAPP(c_COMBB(T_b,tc_HOL_Obool,T_c),hAPP(c_Orderings_Oord__class_Oless(T_b),V_t_2)),V_f_2),V_xs_2) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_transfer__nat__int__list__return__embed,axiom,
% 202.84/202.75 ! [V_l] :
% 202.84/202.75 ( c_List_Onat__list(V_l)
% 202.84/202.75 => c_List_Oembed__list(c_List_Oreturn__list(V_l)) = V_l ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_transfer__nat__int__list__functions_I1_J,axiom,
% 202.84/202.75 ! [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))) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_embed__list__def,axiom,
% 202.84/202.75 ! [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) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_takeWhile__neq__rev,axiom,
% 202.84/202.75 ! [V_x_2,V_xs_2,T_b] :
% 202.84/202.75 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 202.84/202.75 => c_List_OtakeWhile(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_x_2)),hAPP(c_List_Orev(T_b),V_xs_2)) = hAPP(c_List_Orev(T_b),hAPP(c_List_Otl(T_b),c_List_OdropWhile(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_x_2)),V_xs_2))) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_dropWhile__neq__rev,axiom,
% 202.84/202.75 ! [V_x_2,V_xs_2,T_b] :
% 202.84/202.75 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 202.84/202.75 => c_List_OdropWhile(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_x_2)),hAPP(c_List_Orev(T_b),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),hAPP(c_List_Orev(T_b),c_List_OtakeWhile(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_x_2)),V_xs_2))) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_takeWhile__dropWhile__id,axiom,
% 202.84/202.75 ! [V_xs_2,V_P_2,T_b] : hAPP(hAPP(c_List_Oappend(T_b),c_List_OtakeWhile(T_b,V_P_2,V_xs_2)),c_List_OdropWhile(T_b,V_P_2,V_xs_2)) = V_xs_2 ).
% 202.84/202.75
% 202.84/202.75 fof(fact_sorted__dropWhile,axiom,
% 202.84/202.75 ! [V_P_2,V_xs_2,T_b] :
% 202.84/202.75 ( class_Orderings_Olinorder(T_b)
% 202.84/202.75 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 202.84/202.75 => c_List_Olinorder__class_Osorted(T_b,c_List_OdropWhile(T_b,V_P_2,V_xs_2)) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_length__dropWhile__le,axiom,
% 202.84/202.75 ! [V_xs_2,V_P_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OdropWhile(T_b,V_P_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_dropWhile__eq__Nil__conv,axiom,
% 202.84/202.75 ! [V_xs_2,V_P_2,T_b] :
% 202.84/202.75 ( c_List_OdropWhile(T_b,V_P_2,V_xs_2) = c_List_Olist_ONil(T_b)
% 202.84/202.75 <=> ! [B_x] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 202.84/202.75 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_dropWhile_Osimps_I2_J,axiom,
% 202.84/202.75 ! [V_xs_2,T_b,V_x_2,V_P_2] :
% 202.84/202.75 ( ( hBOOL(hAPP(V_P_2,V_x_2))
% 202.84/202.75 => c_List_OdropWhile(T_b,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_List_OdropWhile(T_b,V_P_2,V_xs_2) )
% 202.84/202.75 & ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 202.84/202.75 => c_List_OdropWhile(T_b,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_dropWhile_Osimps_I1_J,axiom,
% 202.84/202.75 ! [V_P_2,T_b] : c_List_OdropWhile(T_b,V_P_2,c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_b) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_distinct__dropWhile,axiom,
% 202.84/202.75 ! [V_P_2,V_xs_2,T_b] :
% 202.84/202.75 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 202.84/202.75 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_OdropWhile(T_b,V_P_2,V_xs_2))) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_hd__dropWhile,axiom,
% 202.84/202.75 ! [V_xs_2,V_P_2,T_b] :
% 202.84/202.75 ( c_List_OdropWhile(T_b,V_P_2,V_xs_2) != c_List_Olist_ONil(T_b)
% 202.84/202.75 => ~ hBOOL(hAPP(V_P_2,hAPP(c_List_Ohd(T_b),c_List_OdropWhile(T_b,V_P_2,V_xs_2)))) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_dropWhile__map,axiom,
% 202.84/202.75 ! [V_xs_2,V_f_2,T_c,V_P_2,T_b] : c_List_OdropWhile(T_b,V_P_2,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_OdropWhile(T_c,hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,T_c,V_P_2),V_f_2),V_xs_2)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_dropWhile__append1,axiom,
% 202.84/202.75 ! [V_ys_2,V_P_2,V_xs_2,V_x_2,T_b] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 202.84/202.75 => ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 202.84/202.75 => c_List_OdropWhile(T_b,V_P_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),c_List_OdropWhile(T_b,V_P_2,V_xs_2)),V_ys_2) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_dropWhile__eq__Cons__conv,axiom,
% 202.84/202.75 ! [V_ys_2,V_y_2,V_xs_2,V_P_2,T_b] :
% 202.84/202.75 ( c_List_OdropWhile(T_b,V_P_2,V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)
% 202.84/202.75 <=> ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),c_List_OtakeWhile(T_b,V_P_2,V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))
% 202.84/202.75 & ~ hBOOL(hAPP(V_P_2,V_y_2)) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_dropWhile__eq__drop,axiom,
% 202.84/202.75 ! [V_xs_2,V_P_2,T_b] : c_List_OdropWhile(T_b,V_P_2,V_xs_2) = hAPP(hAPP(c_List_Odrop(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_P_2,V_xs_2))),V_xs_2) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_dropWhile__nth,axiom,
% 202.84/202.75 ! [V_xs_2,V_P_2,T_b,V_j_2] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OdropWhile(T_b,V_P_2,V_xs_2))))
% 202.84/202.75 => hAPP(hAPP(c_List_Onth(T_b),c_List_OdropWhile(T_b,V_P_2,V_xs_2)),V_j_2) = hAPP(hAPP(c_List_Onth(T_b),V_xs_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_P_2,V_xs_2)))) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_listsum__map__filter,axiom,
% 202.84/202.75 ! [V_f_2,V_P_2,V_xs_2,T_b,T_c] :
% 202.84/202.75 ( class_Groups_Omonoid__add(T_c)
% 202.84/202.75 => ( ! [B_x] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 202.84/202.75 => ( ~ hBOOL(hAPP(V_P_2,B_x))
% 202.84/202.75 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) )
% 202.84/202.75 => hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_sorted__nth__monoI,axiom,
% 202.84/202.75 ! [V_xs,T_a] :
% 202.84/202.75 ( class_Orderings_Olinorder(T_a)
% 202.84/202.75 => ( ! [B_i,B_j] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j))
% 202.84/202.75 => ( 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)))
% 202.84/202.75 => 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))) ) )
% 202.84/202.75 => c_List_Olinorder__class_Osorted(T_a,V_xs) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_takeWhile__eq__filter,axiom,
% 202.84/202.75 ! [V_xs_2,V_P_2,T_b] :
% 202.84/202.75 ( ! [B_x] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),c_List_OdropWhile(T_b,V_P_2,V_xs_2))))
% 202.84/202.75 => ~ hBOOL(hAPP(V_P_2,B_x)) )
% 202.84/202.75 => c_List_OtakeWhile(T_b,V_P_2,V_xs_2) = hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_takeWhile__eq__take__P__nth,axiom,
% 202.84/202.75 ! [V_P_2,V_xs_2,T_b,V_n_2] :
% 202.84/202.75 ( ! [B_i] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2))
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 202.84/202.75 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) )
% 202.84/202.75 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 202.84/202.75 => ~ hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_n_2))) )
% 202.84/202.75 => c_List_OtakeWhile(T_b,V_P_2,V_xs_2) = hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_length__takeWhile__less__P__nth,axiom,
% 202.84/202.75 ! [V_xs_2,T_b,V_P_2,V_j_2] :
% 202.84/202.75 ( ! [B_i] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_j_2))
% 202.84/202.75 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) )
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 202.84/202.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_P_2,V_xs_2)))) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_sorted_Osimps,axiom,
% 202.84/202.75 ! [V_a_2,T_b] :
% 202.84/202.75 ( class_Orderings_Olinorder(T_b)
% 202.84/202.75 => ( c_List_Olinorder__class_Osorted(T_b,V_a_2)
% 202.84/202.75 <=> ( V_a_2 = c_List_Olist_ONil(T_b)
% 202.84/202.75 | ? [B_xs,B_x] :
% 202.84/202.75 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_xs)
% 202.84/202.75 & ! [B_xa] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(c_List_Oset(T_b),B_xs)))
% 202.84/202.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) )
% 202.84/202.75 & c_List_Olinorder__class_Osorted(T_b,B_xs) ) ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_List_Oinsert__def,axiom,
% 202.84/202.75 ! [V_xs_2,V_x_2,T_b] :
% 202.84/202.75 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 202.84/202.75 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = V_xs_2 )
% 202.84/202.75 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 202.84/202.75 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_not__in__set__insert,axiom,
% 202.84/202.75 ! [V_xs_2,V_x_2,T_b] :
% 202.84/202.75 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 202.84/202.75 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_insert__remdups,axiom,
% 202.84/202.75 ! [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)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_distinct__insert,axiom,
% 202.84/202.75 ! [V_x,V_xs,T_a] :
% 202.84/202.75 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 202.84/202.75 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oinsert(T_a,V_x,V_xs))) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_in__set__insert,axiom,
% 202.84/202.75 ! [V_xs_2,V_x_2,T_b] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 202.84/202.75 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = V_xs_2 ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_List_Oset__insert,axiom,
% 202.84/202.75 ! [V_xs_2,V_x_2,T_b] : hAPP(c_List_Oset(T_b),c_List_Oinsert(T_b,V_x_2,V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_insert__Nil,axiom,
% 202.84/202.75 ! [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)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_maps__def,axiom,
% 202.84/202.75 ! [V_xs_2,V_f_2,T_b,T_c] : c_List_Omaps(T_c,T_b,V_f_2,V_xs_2) = c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(T_c,tc_List_Olist(T_b)),V_f_2),V_xs_2)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_concat__map__maps,axiom,
% 202.84/202.75 ! [V_xs_2,V_f_2,T_c,T_b] : c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(T_c,tc_List_Olist(T_b)),V_f_2),V_xs_2)) = c_List_Omaps(T_c,T_b,V_f_2,V_xs_2) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_maps__simps_I2_J,axiom,
% 202.84/202.75 ! [V_f_2,T_b,T_c] : c_List_Omaps(T_c,T_b,V_f_2,c_List_Olist_ONil(T_c)) = c_List_Olist_ONil(T_b) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_maps__simps_I1_J,axiom,
% 202.84/202.75 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : c_List_Omaps(T_c,T_b,V_f_2,hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Oappend(T_b),hAPP(V_f_2,V_x_2)),c_List_Omaps(T_c,T_b,V_f_2,V_xs_2)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_distinct__concat,axiom,
% 202.84/202.75 ! [V_xs_2,T_b] :
% 202.84/202.75 ( hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_b)),V_xs_2))
% 202.84/202.75 => ( ! [B_ys] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 202.84/202.75 => hBOOL(hAPP(c_List_Odistinct(T_b),B_ys)) )
% 202.84/202.75 => ( ! [B_ys] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 202.84/202.75 => ! [B_zs] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_zs),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 202.84/202.75 => ( B_ys != B_zs
% 202.84/202.75 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),B_ys)),hAPP(c_List_Oset(T_b),B_zs)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) )
% 202.84/202.75 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Oconcat(T_b,V_xs_2))) ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_measures__lesseq,axiom,
% 202.84/202.75 ! [V_fs_2,T_b,V_y_2,V_x_2,V_f_2] :
% 202.84/202.75 ( 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)))
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,V_fs_2)))
% 202.84/202.75 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_b,tc_Nat_Onat)),V_f_2),V_fs_2)))) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_wf__measures,axiom,
% 202.84/202.75 ! [V_fs_2,T_b] : c_Wellfounded_Owf(T_b,c_List_Omeasures(T_b,V_fs_2)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_in__measures_I1_J,axiom,
% 202.84/202.75 ! [V_y_2,V_x_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,c_List_Olist_ONil(tc_fun(T_b,tc_Nat_Onat))))) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_measures__def,axiom,
% 202.84/202.75 ! [V_fs_2,T_b] : c_List_Omeasures(T_b,V_fs_2) = hAPP(hAPP(c_Relation_Oinv__image(tc_List_Olist(tc_Nat_Onat),T_b),c_List_Olex(tc_Nat_Onat,c_Wellfounded_Oless__than)),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(tc_fun(T_b,tc_Nat_Onat)),tc_List_Olist(tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_Nat_Onat),tc_Nat_Onat),tc_fun(tc_List_Olist(tc_fun(T_b,tc_Nat_Onat)),tc_List_Olist(tc_Nat_Onat)),T_b),c_List_Omap(tc_fun(T_b,tc_Nat_Onat),tc_Nat_Onat)),hAPP(c_COMBC(tc_fun(T_b,tc_Nat_Onat),T_b,tc_Nat_Onat),c_COMBI(tc_fun(T_b,tc_Nat_Onat))))),V_fs_2)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_in__measures_I2_J,axiom,
% 202.84/202.75 ! [V_fs_2,V_f_2,V_y_2,V_x_2,T_b] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_b,tc_Nat_Onat)),V_f_2),V_fs_2))))
% 202.84/202.75 <=> ( 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)))
% 202.84/202.75 | ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 202.84/202.75 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,V_fs_2))) ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_measures__less,axiom,
% 202.84/202.75 ! [V_fs_2,T_b,V_y_2,V_x_2,V_f_2] :
% 202.84/202.75 ( 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)))
% 202.84/202.75 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_b,tc_Nat_Onat)),V_f_2),V_fs_2)))) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_foldl__apply,axiom,
% 202.84/202.75 ! [V_s_2,V_g_2,V_h_2,V_f_2,T_c,T_d,V_xs_2,T_b] :
% 202.84/202.75 ( ! [B_x] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 202.84/202.75 => hAPP(c_Fun_Ocomp(T_d,T_d,T_c,hAPP(V_f_2,B_x)),V_h_2) = hAPP(c_Fun_Ocomp(T_c,T_d,T_c,V_h_2),hAPP(V_g_2,B_x)) )
% 202.84/202.75 => hAPP(c_List_Ofoldl(T_d,T_b,hAPP(c_COMBC(T_b,T_d,T_d),V_f_2),hAPP(V_h_2,V_s_2)),V_xs_2) = hAPP(V_h_2,hAPP(c_List_Ofoldl(T_c,T_b,hAPP(c_COMBC(T_b,T_c,T_c),V_g_2),V_s_2),V_xs_2)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_order__fun_I2_J,axiom,
% 202.84/202.75 ! [V_g_2,V_f_2,T_b,T_c] :
% 202.84/202.75 ( ( class_Orderings_Oorder(T_c)
% 202.84/202.75 & class_Enum_Oenum(T_b) )
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 202.84/202.75 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 202.84/202.75 & hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBS(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2)),V_g_2)))) ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_enum__ex__prod__def,axiom,
% 202.84/202.75 ! [V_P_2,T_b,T_c] :
% 202.84/202.75 ( ( class_Enum_Oenum(T_c)
% 202.84/202.75 & class_Enum_Oenum(T_b) )
% 202.84/202.75 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(T_b,T_c)),V_P_2))
% 202.84/202.75 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_Enum_Oenum__class_Oenum__ex(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,T_c),V_P_2)),c_Product__Type_OPair(T_b,T_c))))) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_enum__ex,axiom,
% 202.84/202.75 ! [V_P_2,T_b] :
% 202.84/202.75 ( class_Enum_Oenum(T_b)
% 202.84/202.75 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),V_P_2))
% 202.84/202.75 <=> ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_exists__code,axiom,
% 202.84/202.75 ! [V_P_2,T_b] :
% 202.84/202.75 ( class_Enum_Oenum(T_b)
% 202.84/202.75 => ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 202.84/202.75 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),V_P_2)) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_zip__obtain__same__length,axiom,
% 202.84/202.75 ! [V_P_2,V_ys_2,T_c,V_xs_2,T_b] :
% 202.84/202.75 ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Otake(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2))),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),hAPP(hAPP(c_List_Otake(T_c),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2))),V_ys_2))
% 202.84/202.75 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Otake(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2))),V_xs_2)),hAPP(hAPP(c_List_Otake(T_c),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2))),V_ys_2)))) )
% 202.84/202.75 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2))) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_pos__not__random__dseq__def,axiom,
% 202.84/202.75 ! [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)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_dropWhile__append2,axiom,
% 202.84/202.75 ! [V_ys_2,V_P_2,V_xs_2,T_b] :
% 202.84/202.75 ( ! [B_x] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 202.84/202.75 => hBOOL(hAPP(V_P_2,B_x)) )
% 202.84/202.75 => c_List_OdropWhile(T_b,V_P_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = c_List_OdropWhile(T_b,V_P_2,V_ys_2) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_list__all2__all__nthI,axiom,
% 202.84/202.75 ! [V_P_2,V_b_2,T_c,V_a_2,T_b] :
% 202.84/202.75 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_a_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_b_2)
% 202.84/202.75 => ( ! [B_n] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_a_2)))
% 202.84/202.75 => hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_a_2),B_n)),hAPP(hAPP(c_List_Onth(T_c),V_b_2),B_n))) )
% 202.84/202.75 => c_List_Olist__all2(T_b,T_c,V_P_2,V_a_2,V_b_2) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_finite__sorted__distinct__unique,axiom,
% 202.84/202.75 ! [V_A_2,T_b] :
% 202.84/202.75 ( class_Orderings_Olinorder(T_b)
% 202.84/202.75 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.84/202.75 => ? [B_x] :
% 202.84/202.75 ( hAPP(c_List_Oset(T_b),B_x) = V_A_2
% 202.84/202.75 & c_List_Olinorder__class_Osorted(T_b,B_x)
% 202.84/202.75 & hBOOL(hAPP(c_List_Odistinct(T_b),B_x))
% 202.84/202.75 & ! [B_y] :
% 202.84/202.75 ( ( hAPP(c_List_Oset(T_b),B_y) = V_A_2
% 202.84/202.75 & c_List_Olinorder__class_Osorted(T_b,B_y)
% 202.84/202.75 & hBOOL(hAPP(c_List_Odistinct(T_b),B_y)) )
% 202.84/202.75 => B_y = B_x ) ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_takeWhile__append2,axiom,
% 202.84/202.75 ! [V_ys_2,V_P_2,V_xs_2,T_b] :
% 202.84/202.75 ( ! [B_x] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 202.84/202.75 => hBOOL(hAPP(V_P_2,B_x)) )
% 202.84/202.75 => c_List_OtakeWhile(T_b,V_P_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),c_List_OtakeWhile(T_b,V_P_2,V_ys_2)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_insort__is__Cons,axiom,
% 202.84/202.75 ! [V_a_2,V_f_2,V_xs_2,T_b,T_c] :
% 202.84/202.75 ( class_Orderings_Olinorder(T_c)
% 202.84/202.75 => ( ! [B_x] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 202.84/202.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_a_2)),hAPP(V_f_2,B_x))) )
% 202.84/202.75 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_a_2),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_2),V_xs_2) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_Cons__eq__filter__iff,axiom,
% 202.84/202.75 ! [V_ys_2,V_P_2,V_xs_2,V_x_2,T_b] :
% 202.84/202.75 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) = hAPP(c_List_Ofilter(T_b,V_P_2),V_ys_2)
% 202.84/202.75 <=> ? [B_us,B_vs] :
% 202.84/202.75 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_vs))
% 202.84/202.75 & ! [B_x] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),B_us)))
% 202.84/202.75 => ~ hBOOL(hAPP(V_P_2,B_x)) )
% 202.84/202.75 & hBOOL(hAPP(V_P_2,V_x_2))
% 202.84/202.75 & V_xs_2 = hAPP(c_List_Ofilter(T_b,V_P_2),B_vs) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_filter__eq__Cons__iff,axiom,
% 202.84/202.75 ! [V_xs_2,V_x_2,V_ys_2,V_P_2,T_b] :
% 202.84/202.75 ( hAPP(c_List_Ofilter(T_b,V_P_2),V_ys_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)
% 202.84/202.75 <=> ? [B_us,B_vs] :
% 202.84/202.75 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_vs))
% 202.84/202.75 & ! [B_x] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),B_us)))
% 202.84/202.75 => ~ hBOOL(hAPP(V_P_2,B_x)) )
% 202.84/202.75 & hBOOL(hAPP(V_P_2,V_x_2))
% 202.84/202.75 & V_xs_2 = hAPP(c_List_Ofilter(T_b,V_P_2),B_vs) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_order__fun_I1_J,axiom,
% 202.84/202.75 ! [V_g_2,V_f_2,T_b,T_c] :
% 202.84/202.75 ( ( class_Orderings_Oorder(T_c)
% 202.84/202.75 & class_Enum_Oenum(T_b) )
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 202.84/202.75 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),hAPP(hAPP(c_COMBS(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_Orderings_Oord__class_Oless__eq(T_c)),V_f_2)),V_g_2))) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_all__code,axiom,
% 202.84/202.75 ! [V_P_2,T_b] :
% 202.84/202.75 ( class_Enum_Oenum(T_b)
% 202.84/202.75 => ( ! [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 202.84/202.75 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),V_P_2)) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_enum__all,axiom,
% 202.84/202.75 ! [V_P_2,T_b] :
% 202.84/202.75 ( class_Enum_Oenum(T_b)
% 202.84/202.75 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),V_P_2))
% 202.84/202.75 <=> ! [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_enum__all__prod__def,axiom,
% 202.84/202.75 ! [V_P_2,T_b,T_c] :
% 202.84/202.75 ( ( class_Enum_Oenum(T_c)
% 202.84/202.75 & class_Enum_Oenum(T_b) )
% 202.84/202.75 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(T_b,T_c)),V_P_2))
% 202.84/202.75 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_Enum_Oenum__class_Oenum__all(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,T_c),V_P_2)),c_Product__Type_OPair(T_b,T_c))))) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_list__ball__nth,axiom,
% 202.84/202.75 ! [V_P_2,V_xs_2,T_b,V_n_2] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 202.84/202.75 => ( ! [B_x] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 202.84/202.75 => hBOOL(hAPP(V_P_2,B_x)) )
% 202.84/202.75 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_n_2))) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_sorted_OCons,axiom,
% 202.84/202.75 ! [V_x_2,V_xs_2,T_b] :
% 202.84/202.75 ( class_Orderings_Olinorder(T_b)
% 202.84/202.75 => ( ! [B_x] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 202.84/202.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) )
% 202.84/202.75 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 202.84/202.75 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_list__ex__length,axiom,
% 202.84/202.75 ! [V_xs_2,V_P_2,T_b] :
% 202.84/202.75 ( c_List_Olist__ex(T_b,V_P_2,V_xs_2)
% 202.84/202.75 <=> ? [B_n] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 202.84/202.75 & hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n))) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_in__set__conv__decomp,axiom,
% 202.84/202.75 ! [V_xs_2,V_x_2,T_b] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 202.84/202.75 <=> ? [B_ys,B_zs] : V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_ys),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_zs)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_list__ex__simps_I2_J,axiom,
% 202.84/202.75 ! [V_P_2,T_b] : ~ c_List_Olist__ex(T_b,V_P_2,c_List_Olist_ONil(T_b)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_list__ex__append,axiom,
% 202.84/202.75 ! [V_ys_2,V_xs_2,V_P_2,T_b] :
% 202.84/202.75 ( c_List_Olist__ex(T_b,V_P_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))
% 202.84/202.75 <=> ( c_List_Olist__ex(T_b,V_P_2,V_xs_2)
% 202.84/202.75 | c_List_Olist__ex(T_b,V_P_2,V_ys_2) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_list__ex__iff,axiom,
% 202.84/202.75 ! [V_xs_2,V_P_2,T_b] :
% 202.84/202.75 ( c_List_Olist__ex(T_b,V_P_2,V_xs_2)
% 202.84/202.75 <=> ? [B_x] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 202.84/202.75 & hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_list__ex__rev,axiom,
% 202.84/202.75 ! [V_xs_2,V_P_2,T_b] :
% 202.84/202.75 ( c_List_Olist__ex(T_b,V_P_2,hAPP(c_List_Orev(T_b),V_xs_2))
% 202.84/202.75 <=> c_List_Olist__ex(T_b,V_P_2,V_xs_2) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_list__ex__simps_I1_J,axiom,
% 202.84/202.75 ! [V_xs_2,V_x_2,V_P_2,T_b] :
% 202.84/202.75 ( c_List_Olist__ex(T_b,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 202.84/202.75 <=> ( hBOOL(hAPP(V_P_2,V_x_2))
% 202.84/202.75 | c_List_Olist__ex(T_b,V_P_2,V_xs_2) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_list__ex__iff__not__all__inverval__nat,axiom,
% 202.84/202.75 ! [V_j_2,V_i_2,V_P_2] :
% 202.84/202.75 ( c_List_Olist__ex(tc_Nat_Onat,V_P_2,c_List_Oupt(V_i_2,V_j_2))
% 202.84/202.75 <=> ~ c_List_Oall__interval__nat(hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat,c_fNot),V_P_2),V_i_2,V_j_2) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_in__set__conv__decomp__first,axiom,
% 202.84/202.75 ! [V_xs_2,V_x_2,T_b] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 202.84/202.75 <=> ? [B_ys] :
% 202.84/202.75 ( ? [B_zs] : V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_ys),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_zs))
% 202.84/202.75 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),B_ys))) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_in__set__conv__decomp__last,axiom,
% 202.84/202.75 ! [V_xs_2,V_x_2,T_b] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 202.84/202.75 <=> ? [B_ys,B_zs] :
% 202.84/202.75 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_ys),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_zs))
% 202.84/202.75 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),B_zs))) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_list__all__length,axiom,
% 202.84/202.75 ! [V_xs_2,V_P_2,T_b] :
% 202.84/202.75 ( c_List_Olist__all(T_b,V_P_2,V_xs_2)
% 202.84/202.75 <=> ! [B_n] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 202.84/202.75 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n))) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_measure__function__int,axiom,
% 202.84/202.75 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))) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_list__all__simps_I2_J,axiom,
% 202.84/202.75 ! [V_P_2,T_b] : c_List_Olist__all(T_b,V_P_2,c_List_Olist_ONil(T_b)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_list__all__append,axiom,
% 202.84/202.75 ! [V_ys_2,V_xs_2,V_P_2,T_b] :
% 202.84/202.75 ( c_List_Olist__all(T_b,V_P_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))
% 202.84/202.75 <=> ( c_List_Olist__all(T_b,V_P_2,V_xs_2)
% 202.84/202.75 & c_List_Olist__all(T_b,V_P_2,V_ys_2) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_measure__size,axiom,
% 202.84/202.75 ! [T_b] :
% 202.84/202.75 ( class_Nat_Osize(T_b)
% 202.84/202.75 => c_FunDef_Ois__measure(T_b,c_Nat_Osize__class_Osize(T_b)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_is__measure_Osimps,axiom,
% 202.84/202.75 ! [V_a_2,T_b] : c_FunDef_Ois__measure(T_b,V_a_2) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_is__measure_Oequations,axiom,
% 202.84/202.75 ! [V_a_2,T_b] : c_FunDef_Ois__measure(T_b,V_a_2) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_is__measure_Ointros,axiom,
% 202.84/202.75 ! [V_f_2,T_b] : c_FunDef_Ois__measure(T_b,V_f_2) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_list__all__iff,axiom,
% 202.84/202.75 ! [V_xs_2,V_P_2,T_b] :
% 202.84/202.75 ( c_List_Olist__all(T_b,V_P_2,V_xs_2)
% 202.84/202.75 <=> ! [B_x] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 202.84/202.75 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_measure__fst,axiom,
% 202.84/202.75 ! [T_c,V_f_2,T_b] :
% 202.84/202.75 ( c_FunDef_Ois__measure(T_b,V_f_2)
% 202.84/202.75 => c_FunDef_Ois__measure(tc_prod(T_b,T_c),hAPP(hAPP(c_COMBB(T_b,tc_Nat_Onat,tc_prod(T_b,T_c)),V_f_2),c_Product__Type_Ofst(T_b,T_c))) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_measure__snd,axiom,
% 202.84/202.75 ! [T_c,V_f_2,T_b] :
% 202.84/202.75 ( c_FunDef_Ois__measure(T_b,V_f_2)
% 202.84/202.75 => c_FunDef_Ois__measure(tc_prod(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,tc_Nat_Onat,tc_prod(T_c,T_b)),V_f_2),c_Product__Type_Osnd(T_c,T_b))) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_list__all__rev,axiom,
% 202.84/202.75 ! [V_xs_2,V_P_2,T_b] :
% 202.84/202.75 ( c_List_Olist__all(T_b,V_P_2,hAPP(c_List_Orev(T_b),V_xs_2))
% 202.84/202.75 <=> c_List_Olist__all(T_b,V_P_2,V_xs_2) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_list__all__simps_I1_J,axiom,
% 202.84/202.75 ! [V_xs_2,V_x_2,V_P_2,T_b] :
% 202.84/202.75 ( c_List_Olist__all(T_b,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 202.84/202.75 <=> ( hBOOL(hAPP(V_P_2,V_x_2))
% 202.84/202.75 & c_List_Olist__all(T_b,V_P_2,V_xs_2) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_Ball__set__list__all,axiom,
% 202.84/202.75 ! [V_P_2,V_xs_2,T_b] :
% 202.84/202.75 ( ! [B_x] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 202.84/202.75 => hBOOL(hAPP(V_P_2,B_x)) )
% 202.84/202.75 <=> c_List_Olist__all(T_b,V_P_2,V_xs_2) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_list__all__iff__raw,axiom,
% 202.84/202.75 ! [V_xs_2,V_P_2,T_b] :
% 202.84/202.75 ( c_List_Olist__all(T_b,V_P_2,V_xs_2)
% 202.84/202.75 <=> ! [B_x] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 202.84/202.75 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_list__all__iff__all__interval__nat,axiom,
% 202.84/202.75 ! [V_j_2,V_i_2,V_P_2] :
% 202.84/202.75 ( c_List_Olist__all(tc_Nat_Onat,V_P_2,c_List_Oupt(V_i_2,V_j_2))
% 202.84/202.75 <=> c_List_Oall__interval__nat(V_P_2,V_i_2,V_j_2) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_list__ex1__simps_I2_J,axiom,
% 202.84/202.75 ! [V_xs_2,V_x_2,V_P_2,T_b] :
% 202.84/202.75 ( c_List_Olist__ex1(T_b,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 202.84/202.75 <=> ( ( hBOOL(hAPP(V_P_2,V_x_2))
% 202.84/202.75 => c_List_Olist__all(T_b,hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_P_2))),hAPP(c_fequal,V_x_2)),V_xs_2) )
% 202.84/202.75 & ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 202.84/202.75 => c_List_Olist__ex1(T_b,V_P_2,V_xs_2) ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_transfer__morphism__int__nat,axiom,
% 202.84/202.75 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)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_list__ex1__simps_I1_J,axiom,
% 202.84/202.75 ! [V_P_2,T_b] : ~ c_List_Olist__ex1(T_b,V_P_2,c_List_Olist_ONil(T_b)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_bool_Osize_I4_J,axiom,
% 202.84/202.75 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_bool_Osize_I3_J,axiom,
% 202.84/202.75 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_list__ex1__iff,axiom,
% 202.84/202.75 ! [V_xs_2,V_P_2,T_b] :
% 202.84/202.75 ( c_List_Olist__ex1(T_b,V_P_2,V_xs_2)
% 202.84/202.75 <=> ? [B_x] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 202.84/202.75 & hBOOL(hAPP(V_P_2,B_x))
% 202.84/202.75 & ! [B_y] :
% 202.84/202.75 ( ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),hAPP(c_List_Oset(T_b),V_xs_2)))
% 202.84/202.75 & hBOOL(hAPP(V_P_2,B_y)) )
% 202.84/202.75 => B_y = B_x ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_New__DSequence_Opos__decr__bind__def,axiom,
% 202.84/202.75 ! [V_f_2,V_x_2,T_b,T_c,V_i_2] :
% 202.84/202.75 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 202.84/202.75 => hAPP(c_New__DSequence_Opos__decr__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Oempty(T_b) )
% 202.84/202.75 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 202.84/202.75 => hAPP(c_New__DSequence_Opos__decr__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = hAPP(c_Lazy__Sequence_Obind(T_c,T_b,hAPP(V_x_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_i_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b)),V_f_2),V_i_2)) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_New__DSequence_Oneg__decr__bind__def,axiom,
% 202.84/202.75 ! [V_f_2,V_x_2,T_b,T_c,V_i_2] :
% 202.84/202.75 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 202.84/202.75 => hAPP(c_New__DSequence_Oneg__decr__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Ohit__bound(T_b) )
% 202.84/202.75 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 202.84/202.75 => hAPP(c_New__DSequence_Oneg__decr__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Ohb__bind(T_c,T_b,hAPP(V_x_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_i_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b))),V_f_2),V_i_2)) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_New__Random__Sequence_Opos__decr__bind__def,axiom,
% 202.84/202.75 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_b,T_c] : c_New__Random__Sequence_Opos__decr__bind(T_c,T_b,V_R_2,V_f_2,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Opos__decr__bind(T_c,T_b,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_c,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b)))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_New__Random__Sequence_Oneg__decr__bind__def,axiom,
% 202.84/202.75 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_b,T_c] : c_New__Random__Sequence_Oneg__decr__bind(T_c,T_b,V_R_2,V_f_2,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Oneg__decr__bind(T_c,T_b,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_c,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b)))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b))))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b)))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_New__DSequence_Oneg__bind__def,axiom,
% 202.84/202.75 ! [V_i_2,V_f_2,V_x_2,T_b,T_c] : hAPP(c_New__DSequence_Oneg__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Ohb__bind(T_c,T_b,hAPP(V_x_2,V_i_2),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b))),V_f_2),V_i_2)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_New__DSequence_Opos__empty__def,axiom,
% 202.84/202.75 ! [V_i_1,T_a] : hAPP(c_New__DSequence_Opos__empty(T_a),V_i_1) = c_Lazy__Sequence_Oempty(T_a) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_pos__empty__def,axiom,
% 202.84/202.75 ! [V_seed_2,V_size_2,V_nrandom_2,T_b] : c_New__Random__Sequence_Opos__empty(T_b,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Opos__empty(T_b) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_neg__bind__def,axiom,
% 202.84/202.75 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_b,T_c] : hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__bind(T_c,T_b,V_R_2,V_f_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Oneg__bind(T_c,T_b,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_c,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b)))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b))))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b)))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_New__DSequence_Opos__bind__def,axiom,
% 202.84/202.75 ! [V_i_2,V_f_2,V_x_2,T_b,T_c] : hAPP(c_New__DSequence_Opos__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = hAPP(c_Lazy__Sequence_Obind(T_c,T_b,hAPP(V_x_2,V_i_2)),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b)),V_f_2),V_i_2)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_neg__map__def,axiom,
% 202.84/202.75 ! [V_P_2,V_f_2,T_b,T_c] : c_New__Random__Sequence_Oneg__map(T_c,T_b,V_f_2,V_P_2) = c_New__Random__Sequence_Oneg__bind(T_c,T_b,V_P_2,hAPP(c_Fun_Ocomp(T_b,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b)))))),T_c,c_New__Random__Sequence_Oneg__single(T_b)),V_f_2)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_neg__single__def,axiom,
% 202.84/202.75 ! [V_seed_2,V_size_2,V_nrandom_2,V_x_2,T_b] : hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__single(T_b),V_x_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Oneg__single(T_b,V_x_2) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_pos__bind__def,axiom,
% 202.84/202.75 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_b,T_c] : hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__bind(T_c,T_b,V_R_2,V_f_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Opos__bind(T_c,T_b,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_c,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b)))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_New__DSequence_Oneg__single__def,axiom,
% 202.84/202.75 ! [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) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_pos__map__def,axiom,
% 202.84/202.75 ! [V_P_2,V_f_2,T_b,T_c] : c_New__Random__Sequence_Opos__map(T_c,T_b,V_f_2,V_P_2) = c_New__Random__Sequence_Opos__bind(T_c,T_b,V_P_2,hAPP(c_Fun_Ocomp(T_b,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b))))),T_c,c_New__Random__Sequence_Opos__single(T_b)),V_f_2)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_pos__single__def,axiom,
% 202.84/202.75 ! [V_seed_2,V_size_2,V_nrandom_2,V_x_2,T_b] : hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__single(T_b),V_x_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Opos__single(T_b,V_x_2) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_length__splice,axiom,
% 202.84/202.75 ! [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)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_splice_Osimps_I3_J,axiom,
% 202.84/202.75 ! [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))) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_splice_Osimps_I1_J,axiom,
% 202.84/202.75 ! [V_ys,T_a] : c_List_Osplice(T_a,c_List_Olist_ONil(T_a),V_ys) = V_ys ).
% 202.84/202.75
% 202.84/202.75 fof(fact_splice__Nil2,axiom,
% 202.84/202.75 ! [V_xs,T_a] : c_List_Osplice(T_a,V_xs,c_List_Olist_ONil(T_a)) = V_xs ).
% 202.84/202.75
% 202.84/202.75 fof(fact_splice_Osimps_I2_J,axiom,
% 202.84/202.75 ! [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) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_New__DSequence_Opos__single__def,axiom,
% 202.84/202.75 ! [V_i_1,V_x,T_a] : hAPP(c_New__DSequence_Opos__single(T_a,V_x),V_i_1) = hAPP(c_Lazy__Sequence_Osingle(T_a),V_x) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_acyclicP__converse,axiom,
% 202.84/202.75 ! [V_r_2,T_b] :
% 202.84/202.75 ( c_Wellfounded_Oacyclic(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),c_Predicate_Oconversep(T_b,T_b,V_r_2))))
% 202.84/202.75 <=> c_Wellfounded_Oacyclic(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),V_r_2))) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_converse__meet,axiom,
% 202.84/202.75 ! [V_s_2,V_r_2,T_b,T_c] : c_Predicate_Oconversep(T_c,T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool))),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),c_Predicate_Oconversep(T_c,T_b,V_r_2)),c_Predicate_Oconversep(T_c,T_b,V_s_2)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_conversepD,axiom,
% 202.84/202.75 ! [V_b_2,V_a_2,V_r_2,T_c,T_b] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a_2),V_b_2))
% 202.84/202.75 => hBOOL(hAPP(hAPP(V_r_2,V_b_2),V_a_2)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_conversep_Ointros,axiom,
% 202.84/202.75 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 202.84/202.75 => hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_b_2),V_a_2)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_conversep_Oequations,axiom,
% 202.84/202.75 ! [V_a1_2,V_a2_2,V_r_2,T_c,T_b] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a2_2),V_a1_2))
% 202.84/202.75 <=> hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_conversep__iff,axiom,
% 202.84/202.75 ! [V_b_2,V_a_2,V_r_2,T_c,T_b] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a_2),V_b_2))
% 202.84/202.75 <=> hBOOL(hAPP(hAPP(V_r_2,V_b_2),V_a_2)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_conversep__conversep,axiom,
% 202.84/202.75 ! [V_r_2,T_b,T_c] : c_Predicate_Oconversep(T_c,T_b,c_Predicate_Oconversep(T_b,T_c,V_r_2)) = V_r_2 ).
% 202.84/202.75
% 202.84/202.75 fof(fact_conversep__eq,axiom,
% 202.84/202.75 ! [T_b] : c_Predicate_Oconversep(T_b,T_b,c_fequal) = c_fequal ).
% 202.84/202.75
% 202.84/202.75 fof(fact_conversep__noteq,axiom,
% 202.84/202.75 ! [V_y_2,V_x_2,T_b] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_b,hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot)),c_fequal)),V_x_2),V_y_2))
% 202.84/202.75 <=> V_x_2 != V_y_2 ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_converse__pred__comp,axiom,
% 202.84/202.75 ! [V_s_2,V_r_2,T_d,T_b,T_c] : c_Predicate_Oconversep(T_c,T_b,c_Predicate_Opred__comp(T_c,T_d,T_b,V_r_2,V_s_2)) = c_Predicate_Opred__comp(T_b,T_d,T_c,c_Predicate_Oconversep(T_d,T_b,V_s_2),c_Predicate_Oconversep(T_c,T_d,V_r_2)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_converse__join,axiom,
% 202.84/202.75 ! [V_s_2,V_r_2,T_b,T_c] : c_Predicate_Oconversep(T_c,T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool))),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),c_Predicate_Oconversep(T_c,T_b,V_r_2)),c_Predicate_Oconversep(T_c,T_b,V_s_2)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_conversep__converse__eq,axiom,
% 202.84/202.75 ! [V_y_2,V_x_2,V_r_2,T_c,T_b] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_r_2)),V_x_2),V_y_2))
% 202.84/202.75 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(T_b,T_c),V_r_2))) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_,axiom,
% 202.84/202.75 ! [V_s2_2,V_s1_2,T_c,T_b] : c_Lazy__Sequence_Oproduct(T_b,T_c,V_s1_2,V_s2_2) = hAPP(c_Lazy__Sequence_Obind(T_b,tc_prod(T_b,T_c),V_s1_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_Lazy__Sequence_Olazy__sequence(tc_prod(T_b,T_c))),tc_Lazy__Sequence_Olazy__sequence(tc_prod(T_b,T_c)),T_b),c_Lazy__Sequence_Obind(T_c,tc_prod(T_b,T_c),V_s2_2)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_Lazy__Sequence_Olazy__sequence(tc_prod(T_b,T_c))),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_Lazy__Sequence_Olazy__sequence(tc_prod(T_b,T_c)),T_c),c_Lazy__Sequence_Osingle(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_tl__replicate,axiom,
% 202.84/202.75 ! [V_x,T_a,V_n] :
% 202.84/202.75 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.84/202.75 => hAPP(c_List_Otl(T_a),c_List_Oreplicate(T_a,V_n,V_x)) = c_List_Oreplicate(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_x) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_replicate__length__filter,axiom,
% 202.84/202.75 ! [V_xs_2,V_x_2,T_b] : c_List_Oreplicate(T_b,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,hAPP(c_fequal,V_x_2)),V_xs_2)),V_x_2) = hAPP(c_List_Ofilter(T_b,hAPP(c_fequal,V_x_2)),V_xs_2) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_length__replicate,axiom,
% 202.84/202.75 ! [V_x,V_n,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Oreplicate(T_a,V_n,V_x)) = V_n ).
% 202.84/202.75
% 202.84/202.75 fof(fact_map__replicate__const,axiom,
% 202.84/202.75 ! [V_lst_2,V_k_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(c_COMBK(T_b,T_c),V_k_2)),V_lst_2) = c_List_Oreplicate(T_b,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_lst_2),V_k_2) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_replicate__app__Cons__same,axiom,
% 202.84/202.75 ! [V_xs,V_x,V_n,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_Oreplicate(T_a,V_n,V_x)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),hAPP(hAPP(c_List_Oappend(T_a),c_List_Oreplicate(T_a,V_n,V_x)),V_xs)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_replicate__Suc,axiom,
% 202.84/202.75 ! [V_x,V_n,T_a] : c_List_Oreplicate(T_a,hAPP(c_Nat_OSuc,V_n),V_x) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Oreplicate(T_a,V_n,V_x)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_rev__replicate,axiom,
% 202.84/202.75 ! [V_x,V_n,T_a] : hAPP(c_List_Orev(T_a),c_List_Oreplicate(T_a,V_n,V_x)) = c_List_Oreplicate(T_a,V_n,V_x) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_take__replicate,axiom,
% 202.84/202.75 ! [V_x,V_k,V_i,T_a] : hAPP(hAPP(c_List_Otake(T_a),V_i),c_List_Oreplicate(T_a,V_k,V_x)) = c_List_Oreplicate(T_a,hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_i),V_k),V_x) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_drop__replicate,axiom,
% 202.84/202.75 ! [V_x,V_k,V_i,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_i),c_List_Oreplicate(T_a,V_k,V_x)) = c_List_Oreplicate(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_k),V_i),V_x) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_hd__replicate,axiom,
% 202.84/202.75 ! [V_x,T_a,V_n] :
% 202.84/202.75 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.84/202.75 => hAPP(c_List_Ohd(T_a),c_List_Oreplicate(T_a,V_n,V_x)) = V_x ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_last__replicate,axiom,
% 202.84/202.75 ! [V_x,T_a,V_n] :
% 202.84/202.75 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.84/202.75 => c_List_Olast(T_a,c_List_Oreplicate(T_a,V_n,V_x)) = V_x ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_zip__replicate,axiom,
% 202.84/202.75 ! [V_y,V_j,V_x,V_i,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),c_List_Oreplicate(T_a,V_i,V_x)),c_List_Oreplicate(T_b,V_j,V_y)) = c_List_Oreplicate(tc_prod(T_a,T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_i),V_j),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x),V_y)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_Ball__set__replicate,axiom,
% 202.84/202.75 ! [V_P_2,V_a_2,V_n_2,T_b] :
% 202.84/202.75 ( ! [B_x] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_n_2,V_a_2))))
% 202.84/202.75 => hBOOL(hAPP(V_P_2,B_x)) )
% 202.84/202.75 <=> ( hBOOL(hAPP(V_P_2,V_a_2))
% 202.84/202.75 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_Bex__set__replicate,axiom,
% 202.84/202.75 ! [V_P_2,V_a_2,V_n_2,T_b] :
% 202.84/202.75 ( ? [B_x] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_n_2,V_a_2))))
% 202.84/202.75 & hBOOL(hAPP(V_P_2,B_x)) )
% 202.84/202.75 <=> ( hBOOL(hAPP(V_P_2,V_a_2))
% 202.84/202.75 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_replicate__eq__replicate,axiom,
% 202.84/202.75 ! [V_y_2,V_n_2,V_x_2,V_m_2,T_b] :
% 202.84/202.75 ( c_List_Oreplicate(T_b,V_m_2,V_x_2) = c_List_Oreplicate(T_b,V_n_2,V_y_2)
% 202.84/202.75 <=> ( V_m_2 = V_n_2
% 202.84/202.75 & ( V_m_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.84/202.75 => V_x_2 = V_y_2 ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_nth__replicate,axiom,
% 202.84/202.75 ! [V_x,T_a,V_n,V_i] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n))
% 202.84/202.75 => hAPP(hAPP(c_List_Onth(T_a),c_List_Oreplicate(T_a,V_n,V_x)),V_i) = V_x ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_replicate__add,axiom,
% 202.84/202.75 ! [V_x,V_m,V_n,T_a] : c_List_Oreplicate(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m),V_x) = hAPP(hAPP(c_List_Oappend(T_a),c_List_Oreplicate(T_a,V_n,V_x)),c_List_Oreplicate(T_a,V_m,V_x)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_append__replicate__commute,axiom,
% 202.84/202.75 ! [V_k,V_x,V_n,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_Oreplicate(T_a,V_n,V_x)),c_List_Oreplicate(T_a,V_k,V_x)) = hAPP(hAPP(c_List_Oappend(T_a),c_List_Oreplicate(T_a,V_k,V_x)),c_List_Oreplicate(T_a,V_n,V_x)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_filter__replicate,axiom,
% 202.84/202.75 ! [V_n_2,T_b,V_x_2,V_P_2] :
% 202.84/202.75 ( ( hBOOL(hAPP(V_P_2,V_x_2))
% 202.84/202.75 => hAPP(c_List_Ofilter(T_b,V_P_2),c_List_Oreplicate(T_b,V_n_2,V_x_2)) = c_List_Oreplicate(T_b,V_n_2,V_x_2) )
% 202.84/202.75 & ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 202.84/202.75 => hAPP(c_List_Ofilter(T_b,V_P_2),c_List_Oreplicate(T_b,V_n_2,V_x_2)) = c_List_Olist_ONil(T_b) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_concat__replicate__trivial,axiom,
% 202.84/202.75 ! [V_i,T_a] : c_List_Oconcat(T_a,c_List_Oreplicate(tc_List_Olist(T_a),V_i,c_List_Olist_ONil(T_a))) = c_List_Olist_ONil(T_a) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_replicate__empty,axiom,
% 202.84/202.75 ! [V_x_2,V_n_2,T_b] :
% 202.84/202.75 ( c_List_Oreplicate(T_b,V_n_2,V_x_2) = c_List_Olist_ONil(T_b)
% 202.84/202.75 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_empty__replicate,axiom,
% 202.84/202.75 ! [V_x_2,V_n_2,T_b] :
% 202.84/202.75 ( c_List_Olist_ONil(T_b) = c_List_Oreplicate(T_b,V_n_2,V_x_2)
% 202.84/202.75 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_replicate__0,axiom,
% 202.84/202.75 ! [V_x,T_a] : c_List_Oreplicate(T_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_x) = c_List_Olist_ONil(T_a) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_map__replicate,axiom,
% 202.84/202.75 ! [V_x_2,V_n_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Oreplicate(T_c,V_n_2,V_x_2)) = c_List_Oreplicate(T_b,V_n_2,hAPP(V_f_2,V_x_2)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_in__set__replicate,axiom,
% 202.84/202.75 ! [V_y_2,V_n_2,V_x_2,T_b] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_n_2,V_y_2))))
% 202.84/202.75 <=> ( V_x_2 = V_y_2
% 202.84/202.75 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_replicate__append__same,axiom,
% 202.84/202.75 ! [V_x,V_i,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_Oreplicate(T_a,V_i,V_x)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a))) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Oreplicate(T_a,V_i,V_x)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_map__replicate__trivial,axiom,
% 202.84/202.75 ! [V_i_2,V_x_2,T_b] : hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),hAPP(c_COMBK(T_b,tc_Nat_Onat),V_x_2)),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_i_2)) = c_List_Oreplicate(T_b,V_i_2,V_x_2) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_set__replicate,axiom,
% 202.84/202.75 ! [V_x_2,T_b,V_n_2] :
% 202.84/202.75 ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.84/202.75 => hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_n_2,V_x_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_set__replicate__conv__if,axiom,
% 202.84/202.75 ! [V_x_2,T_b,V_n_2] :
% 202.84/202.75 ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.84/202.75 => hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_n_2,V_x_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) )
% 202.84/202.75 & ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.84/202.75 => hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_n_2,V_x_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_set__replicate__Suc,axiom,
% 202.84/202.75 ! [V_x_2,V_n_2,T_b] : hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,hAPP(c_Nat_OSuc,V_n_2),V_x_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_small__lazy__list_Osimps,axiom,
% 202.84/202.75 ! [V_d_2,T_b] :
% 202.84/202.75 ( class_Lazy__Sequence_Osmall__lazy(T_b)
% 202.84/202.75 => c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_List_Olist(T_b),V_d_2) = c_Lazy__Sequence_Oappend(tc_List_Olist(T_b),hAPP(c_Lazy__Sequence_Osingle(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),hAPP(hAPP(hAPP(c_If(tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(T_b))),hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2)),hAPP(c_Lazy__Sequence_Obind(tc_prod(T_b,tc_List_Olist(T_b)),tc_List_Olist(T_b),c_Lazy__Sequence_Oproduct(T_b,tc_List_Olist(T_b),c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_d_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_List_Olist(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_d_2),c_Groups_Oone__class_Oone(tc_Int_Oint))))),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_List_Olist(T_b),tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(T_b))),T_b),hAPP(c_COMBB(tc_List_Olist(T_b),tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(T_b)),tc_List_Olist(T_b)),c_Lazy__Sequence_Osingle(tc_List_Olist(T_b)))),c_List_Olist_OCons(T_b))))),c_Lazy__Sequence_Oempty(tc_List_Olist(T_b)))) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_eq__comp__r,axiom,
% 202.84/202.75 ! [V_R_2,T_b] : c_Predicate_Opred__comp(T_b,T_b,T_b,c_fequal,c_Predicate_Opred__comp(T_b,T_b,T_b,V_R_2,c_fequal)) = V_R_2 ).
% 202.84/202.75
% 202.84/202.75 fof(fact_small__lazy__prod__def,axiom,
% 202.84/202.75 ! [V_d,T_b,T_a] :
% 202.84/202.75 ( ( class_Lazy__Sequence_Osmall__lazy(T_a)
% 202.84/202.75 & class_Lazy__Sequence_Osmall__lazy(T_b) )
% 202.84/202.75 => c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_prod(T_a,T_b),V_d) = c_Lazy__Sequence_Oproduct(T_a,T_b,c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(T_a,V_d),c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(T_b,V_d)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_New__DSequence_Opos__union__def,axiom,
% 202.84/202.75 ! [V_i_2,V_yq_2,V_xq_2,T_b] : hAPP(c_New__DSequence_Opos__union(T_b,V_xq_2,V_yq_2),V_i_2) = c_Lazy__Sequence_Oappend(T_b,hAPP(V_xq_2,V_i_2),hAPP(V_yq_2,V_i_2)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_lazy__sequence_Osize_I4_J,axiom,
% 202.84/202.75 ! [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))) ).
% 202.84/202.75
% 202.84/202.75 fof(fact__01,axiom,
% 202.84/202.75 ! [V_yq,V_xq,V_x,T_a] : c_Lazy__Sequence_Oappend(T_a,c_Lazy__Sequence_Olazy__sequence_OInsert(T_a,V_x,V_xq),V_yq) = c_Lazy__Sequence_Olazy__sequence_OInsert(T_a,V_x,c_Lazy__Sequence_Oappend(T_a,V_xq,V_yq)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_lazy__sequence_Oinject,axiom,
% 202.84/202.75 ! [V_lazy__sequence_H_2,V_a_H_2,V_lazy__sequence_2,V_a_2,T_b] :
% 202.84/202.75 ( c_Lazy__Sequence_Olazy__sequence_OInsert(T_b,V_a_2,V_lazy__sequence_2) = c_Lazy__Sequence_Olazy__sequence_OInsert(T_b,V_a_H_2,V_lazy__sequence_H_2)
% 202.84/202.75 <=> ( V_a_2 = V_a_H_2
% 202.84/202.75 & V_lazy__sequence_2 = V_lazy__sequence_H_2 ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_pos__union__def,axiom,
% 202.84/202.75 ! [V_seed_2,V_size_2,V_nrandom_2,V_R2_2,V_R1_2,T_b] : c_New__Random__Sequence_Opos__union(T_b,V_R1_2,V_R2_2,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Opos__union(T_b,hAPP(hAPP(hAPP(V_R1_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(hAPP(V_R2_2,V_nrandom_2),V_size_2),V_seed_2)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_lazy__sequence_Osize_I2_J,axiom,
% 202.84/202.75 ! [V_lazy__sequence_2,V_a_2,V_fa_2,T_b] : hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_b,V_fa_2),c_Lazy__Sequence_Olazy__sequence_OInsert(T_b,V_a_2,V_lazy__sequence_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(V_fa_2,V_a_2)),hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_b,V_fa_2),V_lazy__sequence_2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_small__lazy_H_Osimps,axiom,
% 202.84/202.75 ! [V_i,V_d] :
% 202.84/202.75 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d),V_i))
% 202.84/202.75 => c_Lazy__Sequence_Osmall__lazy_H(V_d,V_i) = c_Lazy__Sequence_Oempty(tc_Int_Oint) )
% 202.84/202.75 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d),V_i))
% 202.84/202.75 => c_Lazy__Sequence_Osmall__lazy_H(V_d,V_i) = c_Lazy__Sequence_Oappend(tc_Int_Oint,hAPP(c_Lazy__Sequence_Osingle(tc_Int_Oint),V_i),c_Lazy__Sequence_Osmall__lazy_H(V_d,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_small__lazy_H_Opsimps,axiom,
% 202.84/202.75 ! [V_i_2,V_d_2] :
% 202.84/202.75 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Lazy__Sequence_Osmall__lazy_H__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_d_2),V_i_2)))
% 202.84/202.75 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2))
% 202.84/202.75 => c_Lazy__Sequence_Osmall__lazy_H(V_d_2,V_i_2) = c_Lazy__Sequence_Oempty(tc_Int_Oint) )
% 202.84/202.75 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2))
% 202.84/202.75 => c_Lazy__Sequence_Osmall__lazy_H(V_d_2,V_i_2) = c_Lazy__Sequence_Oappend(tc_Int_Oint,hAPP(c_Lazy__Sequence_Osingle(tc_Int_Oint),V_i_2),c_Lazy__Sequence_Osmall__lazy_H(V_d_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i_2),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_small__lazy__int__def,axiom,
% 202.84/202.75 ! [V_d] : c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_Int_Oint,V_d) = c_Lazy__Sequence_Osmall__lazy_H(V_d,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_d)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_small__lazy_H_Opinduct,axiom,
% 202.84/202.75 ! [V_P_2,V_a1_2,V_a0_2] :
% 202.84/202.75 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Lazy__Sequence_Osmall__lazy_H__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a0_2),V_a1_2)))
% 202.84/202.75 => ( ! [B_d,B_i] :
% 202.84/202.75 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Lazy__Sequence_Osmall__lazy_H__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),B_d),B_i)))
% 202.84/202.75 => ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_d),B_i))
% 202.84/202.75 => hBOOL(hAPP(hAPP(V_P_2,B_d),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_i),c_Groups_Oone__class_Oone(tc_Int_Oint)))) )
% 202.84/202.75 => hBOOL(hAPP(hAPP(V_P_2,B_d),B_i)) ) )
% 202.84/202.75 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_size__code,axiom,
% 202.84/202.75 ! [V_xq_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(T_b)),V_xq_2) = c_Option_Ooption_Ooption__case(tc_Nat_Onat,tc_prod(T_b,tc_Lazy__Sequence_Olazy__sequence(T_b)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat),hAPP(c_COMBK(tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat),T_b),hAPP(hAPP(c_COMBC(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Lazy__Sequence_Olazy__sequence(T_b)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(T_b)))),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(c_Lazy__Sequence_Oyield(T_b),V_xq_2)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_lazy__sequence__size__code,axiom,
% 202.84/202.75 ! [V_xq_2,V_s_2,T_b] : hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_b,V_s_2),V_xq_2) = c_Option_Ooption_Ooption__case(tc_Nat_Onat,tc_prod(T_b,tc_Lazy__Sequence_Olazy__sequence(T_b)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat),hAPP(hAPP(c_COMBC(T_b,tc_Nat_Onat,tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_fun(tc_Nat_Onat,tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat)),T_b),c_COMBC(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat),tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_fun(tc_Nat_Onat,tc_Nat_Onat)),T_b),hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Lazy__Sequence_Olazy__sequence(T_b)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat),tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_fun(tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat),tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat)),T_b),c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Lazy__Sequence_Olazy__sequence(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),T_b),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_s_2))),c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_b,V_s_2))))),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(c_Lazy__Sequence_Oyield(T_b),V_xq_2)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_seq__case,axiom,
% 202.84/202.75 ! [V_xq_2,V_g_2,V_f_2,T_c,T_b] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(T_b,T_c,V_f_2,V_g_2,V_xq_2) = c_Option_Ooption_Ooption__case(T_b,tc_prod(T_c,tc_Lazy__Sequence_Olazy__sequence(T_c)),V_f_2,hAPP(c_Product__Type_Oprod_Oprod__case(T_c,tc_Lazy__Sequence_Olazy__sequence(T_c),T_b),V_g_2),hAPP(c_Lazy__Sequence_Oyield(T_c),V_xq_2)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_yieldn__def,axiom,
% 202.84/202.75 ! [T_b] : c_Lazy__Sequence_Oyieldn(T_b) = c_Lazy__Sequence_Oanamorph(tc_Lazy__Sequence_Olazy__sequence(T_b),T_b,c_Lazy__Sequence_Oyield(T_b)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_lazy__sequence_Osimps_I5_J,axiom,
% 202.84/202.75 ! [V_lazy__sequence_2,V_a_2,V_f2_2,V_f1_2,T_c,T_b] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(T_b,T_c,V_f1_2,V_f2_2,c_Lazy__Sequence_Olazy__sequence_OInsert(T_c,V_a_2,V_lazy__sequence_2)) = hAPP(hAPP(V_f2_2,V_a_2),V_lazy__sequence_2) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_refl__on__INTER,axiom,
% 202.84/202.75 ! [V_r_2,V_A_2,T_c,V_S_2,T_b] :
% 202.84/202.75 ( ! [B_x] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 202.84/202.75 => c_Relation_Orefl__on(T_c,hAPP(V_A_2,B_x),hAPP(V_r_2,B_x)) )
% 202.84/202.75 => c_Relation_Orefl__on(T_c,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_S_2),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_S_2),V_r_2)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_List_Omember__def,axiom,
% 202.84/202.75 ! [V_x_2,V_xs_2,T_b] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_x_2))
% 202.84/202.75 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_member__rec_I2_J,axiom,
% 202.84/202.75 ! [V_y,T_a] : ~ hBOOL(hAPP(hAPP(c_List_Omember(T_a),c_List_Olist_ONil(T_a)),V_y)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_member__set,axiom,
% 202.84/202.75 ! [T_b] : c_List_Omember(T_b) = c_List_Oset(T_b) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_member__rec_I1_J,axiom,
% 202.84/202.75 ! [V_y_2,V_xs_2,V_x_2,T_b] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_List_Omember(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_y_2))
% 202.84/202.75 <=> ( V_x_2 = V_y_2
% 202.84/202.75 | hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_y_2)) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_in__set__member,axiom,
% 202.84/202.75 ! [V_xs_2,V_x_2,T_b] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 202.84/202.75 <=> hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_x_2)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_list__ex1__iff__raw,axiom,
% 202.84/202.75 ! [V_xs_2,V_P_2,T_b] :
% 202.84/202.75 ( c_List_Olist__ex1(T_b,V_P_2,V_xs_2)
% 202.84/202.75 <=> ? [B_x] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 202.84/202.75 & hBOOL(hAPP(V_P_2,B_x))
% 202.84/202.75 & ! [B_y] :
% 202.84/202.75 ( ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),hAPP(c_List_Oset(T_b),V_xs_2)))
% 202.84/202.75 & hBOOL(hAPP(V_P_2,B_y)) )
% 202.84/202.75 => B_y = B_x ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_setsum__UNION__zero,axiom,
% 202.84/202.75 ! [V_f_2,V_S_2,T_b,T_c] :
% 202.84/202.75 ( class_Groups_Ocomm__monoid__add(T_c)
% 202.84/202.75 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_S_2))
% 202.84/202.75 => ( ! [B_x] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_S_2))
% 202.84/202.75 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_x)) )
% 202.84/202.75 => ( ! [B_T1] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_T1),V_S_2))
% 202.84/202.75 => ! [B_T2] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_T2),V_S_2))
% 202.84/202.75 => ( B_T1 != B_T2
% 202.84/202.75 => ! [B_x] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_T1))
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_T2))
% 202.84/202.75 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) )
% 202.84/202.75 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_S_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2)),V_S_2) ) ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_THE__default__def,axiom,
% 202.84/202.75 ! [V_d_2,T_b,V_P_2] :
% 202.84/202.75 ( ( ? [B_x] :
% 202.84/202.75 ( hBOOL(hAPP(V_P_2,B_x))
% 202.84/202.75 & ! [B_y] :
% 202.84/202.75 ( hBOOL(hAPP(V_P_2,B_y))
% 202.84/202.75 => B_y = B_x ) )
% 202.84/202.75 => c_FunDef_OTHE__default(T_b,V_d_2,V_P_2) = c_HOL_OThe(T_b,V_P_2) )
% 202.84/202.75 & ( ~ ? [B_x] :
% 202.84/202.75 ( hBOOL(hAPP(V_P_2,B_x))
% 202.84/202.75 & ! [B_y] :
% 202.84/202.75 ( hBOOL(hAPP(V_P_2,B_y))
% 202.84/202.75 => B_y = B_x ) )
% 202.84/202.75 => c_FunDef_OTHE__default(T_b,V_d_2,V_P_2) = V_d_2 ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_INF2__I,axiom,
% 202.84/202.75 ! [T_d,T_c,V_c_2,V_b_2,V_B_2,V_A_2,T_b] :
% 202.84/202.75 ( ! [B_x] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 202.84/202.75 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) )
% 202.84/202.75 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_SUP2__E,axiom,
% 202.84/202.75 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2))
% 202.84/202.75 => ~ ! [B_x] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 202.84/202.75 => ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_finite__maxlen,axiom,
% 202.84/202.75 ! [V_M_2,T_b] :
% 202.84/202.75 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),V_M_2))
% 202.84/202.75 => ? [B_n] :
% 202.84/202.75 ! [B_x] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),V_M_2))
% 202.84/202.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),B_x)),B_n)) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_lazy__sequence_Osize_I3_J,axiom,
% 202.84/202.75 ! [T_a] : hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(T_a)),c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_lazy__sequence_Osize_I1_J,axiom,
% 202.84/202.75 ! [V_fa_2,T_b] : hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_b,V_fa_2),c_Lazy__Sequence_Olazy__sequence_OEmpty(T_b)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 202.84/202.75
% 202.84/202.75 fof(fact__02,axiom,
% 202.84/202.75 ! [V_yq,T_a] : c_Lazy__Sequence_Oappend(T_a,c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a),V_yq) = V_yq ).
% 202.84/202.75
% 202.84/202.75 fof(fact_lazy__sequence_Osimps_I2_J,axiom,
% 202.84/202.75 ! [V_lazy__sequence_H,V_a_H,T_a] : c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a) != c_Lazy__Sequence_Olazy__sequence_OInsert(T_a,V_a_H,V_lazy__sequence_H) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_lazy__sequence_Osimps_I3_J,axiom,
% 202.84/202.75 ! [V_lazy__sequence_H,V_a_H,T_a] : c_Lazy__Sequence_Olazy__sequence_OInsert(T_a,V_a_H,V_lazy__sequence_H) != c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_lazy__sequence_Osimps_I4_J,axiom,
% 202.84/202.75 ! [V_f2_2,V_f1_2,T_c,T_b] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(T_b,T_c,V_f1_2,V_f2_2,c_Lazy__Sequence_Olazy__sequence_OEmpty(T_c)) = V_f1_2 ).
% 202.84/202.75
% 202.84/202.75 fof(fact_list__all__iff__all__interval__int,axiom,
% 202.84/202.75 ! [V_j_2,V_i_2,V_P_2] :
% 202.84/202.75 ( c_List_Olist__all(tc_Int_Oint,V_P_2,c_List_Oupto(V_i_2,V_j_2))
% 202.84/202.75 <=> c_List_Oall__interval__int(V_P_2,V_i_2,V_j_2) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_list__ex__iff__not__all__inverval__int,axiom,
% 202.84/202.75 ! [V_j_2,V_i_2,V_P_2] :
% 202.84/202.75 ( c_List_Olist__ex(tc_Int_Oint,V_P_2,c_List_Oupto(V_i_2,V_j_2))
% 202.84/202.75 <=> ~ c_List_Oall__interval__int(hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint,c_fNot),V_P_2),V_i_2,V_j_2) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_all__interval__int__def,axiom,
% 202.84/202.75 ! [V_j_2,V_i_2,V_P_2] :
% 202.84/202.75 ( c_List_Oall__interval__int(V_P_2,V_i_2,V_j_2)
% 202.84/202.75 <=> ! [B_x] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_i_2,V_j_2)))
% 202.84/202.75 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_code__numeral_Orecs_I2_J,axiom,
% 202.84/202.75 ! [V_code__numeral_2,V_f2_2,V_f1_2,T_b] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(T_b,V_f1_2,V_f2_2,c_Code__Numeral_OSuc__code__numeral(V_code__numeral_2)) = hAPP(hAPP(V_f2_2,V_code__numeral_2),c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(T_b,V_f1_2,V_f2_2,V_code__numeral_2)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_Random_Osimps,axiom,
% 202.84/202.75 ! [V_size_2,V_g_2,T_b,V_nrandom_2] :
% 202.84/202.75 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_nrandom_2),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)))
% 202.84/202.75 => c_Random__Sequence_ORandom(T_b,V_g_2,V_nrandom_2,V_size_2) = hAPP(c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),c_DSequence_Oempty(T_b)) )
% 202.84/202.75 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_nrandom_2),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)))
% 202.84/202.75 => c_Random__Sequence_ORandom(T_b,V_g_2,V_nrandom_2,V_size_2) = hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm)),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),hAPP(V_g_2,V_size_2)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)))),tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_prod(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))),hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),c_Random__Sequence_ORandom(T_b,V_g_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_nrandom_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)),V_size_2))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b))))),tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)))),tc_prod(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))),hAPP(c_COMBB(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b))))),c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b))))),tc_prod(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))),c_DSequence_Ounion(T_b)),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))),c_DSequence_Osingle(T_b)),c_Product__Type_Ofst(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))))))) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_code__numeral_Orecs_I1_J,axiom,
% 202.84/202.75 ! [V_f2_2,V_f1_2,T_b] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(T_b,V_f1_2,V_f2_2,c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = V_f1_2 ).
% 202.84/202.75
% 202.84/202.75 fof(fact_Random__Sequence_Oempty__def,axiom,
% 202.84/202.75 ! [V_size_2,V_nrandom_2,T_b] : c_Random__Sequence_Oempty(T_b,V_nrandom_2,V_size_2) = hAPP(c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),c_DSequence_Oempty(T_b)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_Random__Sequence_Osingle__def,axiom,
% 202.84/202.75 ! [V_size_2,V_nrandom_2,V_x_2,T_b] : hAPP(hAPP(hAPP(c_Random__Sequence_Osingle(T_b),V_x_2),V_nrandom_2),V_size_2) = hAPP(c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),hAPP(c_DSequence_Osingle(T_b),V_x_2)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_Random__Sequence_Omap__def,axiom,
% 202.84/202.75 ! [V_P_2,V_f_2,T_b,T_c] : c_Random__Sequence_Omap(T_c,T_b,V_f_2,V_P_2) = c_Random__Sequence_Obind(T_c,T_b,V_P_2,hAPP(c_Fun_Ocomp(T_b,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))))),T_c,c_Random__Sequence_Osingle(T_b)),V_f_2)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_exE__realizer,axiom,
% 202.84/202.75 ! [T_d,V_f_2,V_Q_2,V_p_2,T_b,T_c,V_P_2] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(V_P_2,hAPP(c_Product__Type_Osnd(T_c,T_b),V_p_2)),hAPP(c_Product__Type_Ofst(T_c,T_b),V_p_2)))
% 202.84/202.75 => ( ! [B_x,B_y] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(V_P_2,B_y),B_x))
% 202.84/202.75 => hBOOL(hAPP(V_Q_2,hAPP(hAPP(V_f_2,B_x),B_y))) )
% 202.84/202.75 => hBOOL(hAPP(V_Q_2,hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,T_d),V_f_2),V_p_2))) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_Image__Collect__split,axiom,
% 202.84/202.75 ! [V_A_2,V_P_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,hAPP(c_Set_OCollect(tc_prod(T_c,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,tc_HOL_Obool),V_P_2))),V_A_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2)))),hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),V_P_2)))) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_lexord__trans,axiom,
% 202.84/202.75 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_b] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olexord(T_b,V_r_2)))
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_y_2),V_z_2)),c_List_Olexord(T_b,V_r_2)))
% 202.84/202.75 => ( c_Relation_Otrans(T_b,V_r_2)
% 202.84/202.75 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_z_2)),c_List_Olexord(T_b,V_r_2))) ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_trans__less__than,axiom,
% 202.84/202.75 c_Relation_Otrans(tc_Nat_Onat,c_Wellfounded_Oless__than) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_trans__lex__prod,axiom,
% 202.84/202.75 ! [V_R2_2,T_c,V_R1_2,T_b] :
% 202.84/202.75 ( c_Relation_Otrans(T_b,V_R1_2)
% 202.84/202.75 => ( c_Relation_Otrans(T_c,V_R2_2)
% 202.84/202.75 => c_Relation_Otrans(tc_prod(T_b,T_c),c_Wellfounded_Olex__prod(T_b,T_c,V_R1_2,V_R2_2)) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_trans__def,axiom,
% 202.84/202.75 ! [V_r_2,T_b] :
% 202.84/202.75 ( c_Relation_Otrans(T_b,V_r_2)
% 202.84/202.75 <=> ! [B_x,B_y] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_r_2))
% 202.84/202.75 => ! [B_z] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),B_z)),V_r_2))
% 202.84/202.75 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_z)),V_r_2)) ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_transD,axiom,
% 202.84/202.75 ! [V_c_2,V_b_2,V_a_2,V_r_2,T_b] :
% 202.84/202.75 ( c_Relation_Otrans(T_b,V_r_2)
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),V_r_2))
% 202.84/202.75 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),V_r_2)) ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_Union__eq,axiom,
% 202.84/202.75 ! [V_A_2,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),T_b),hAPP(c_COMBS(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_b,tc_HOL_Obool))),V_A_2)))),c_member(T_b)))) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_trans__O__subset,axiom,
% 202.84/202.75 ! [V_r_2,T_b] :
% 202.84/202.75 ( c_Relation_Otrans(T_b,V_r_2)
% 202.84/202.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_r_2),V_r_2)),V_r_2)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_trans__rtrancl,axiom,
% 202.84/202.75 ! [V_r_2,T_b] : c_Relation_Otrans(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_trans__Id,axiom,
% 202.84/202.75 ! [T_b] : c_Relation_Otrans(T_b,c_Relation_OId(T_b)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_trancl__id,axiom,
% 202.84/202.75 ! [V_r_2,T_b] :
% 202.84/202.75 ( c_Relation_Otrans(T_b,V_r_2)
% 202.84/202.75 => c_Transitive__Closure_Otrancl(T_b,V_r_2) = V_r_2 ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_trans__trancl,axiom,
% 202.84/202.75 ! [V_r_2,T_b] : c_Relation_Otrans(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_trans__Id__on,axiom,
% 202.84/202.75 ! [V_A_2,T_b] : c_Relation_Otrans(T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_trans__finite__psubset,axiom,
% 202.84/202.75 ! [T_b] : c_Relation_Otrans(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_b)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_lexord__transI,axiom,
% 202.84/202.75 ! [V_r_2,T_b] :
% 202.84/202.75 ( c_Relation_Otrans(T_b,V_r_2)
% 202.84/202.75 => c_Relation_Otrans(tc_List_Olist(T_b),c_List_Olexord(T_b,V_r_2)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_listrel__trans,axiom,
% 202.84/202.75 ! [V_r_2,T_b] :
% 202.84/202.75 ( c_Relation_Otrans(T_b,V_r_2)
% 202.84/202.75 => c_Relation_Otrans(tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_bex__empty,axiom,
% 202.84/202.75 ! [V_P_2,T_b] :
% 202.84/202.75 ~ ? [B_x] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 202.84/202.75 & hBOOL(hAPP(V_P_2,B_x)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_trans__converse,axiom,
% 202.84/202.75 ! [V_r_2,T_b] :
% 202.84/202.75 ( c_Relation_Otrans(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 202.84/202.75 <=> c_Relation_Otrans(T_b,V_r_2) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_finite__Collect__bex,axiom,
% 202.84/202.75 ! [V_Q_2,T_c,V_A_2,T_b] :
% 202.84/202.75 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.84/202.75 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),V_Q_2)))))
% 202.84/202.75 <=> ! [B_x] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 202.84/202.75 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),V_Q_2),B_x)))) ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_bex__UNIV,axiom,
% 202.84/202.75 ! [V_P_2,T_b] :
% 202.84/202.75 ( ? [B_x] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 202.84/202.75 & hBOOL(hAPP(V_P_2,B_x)) )
% 202.84/202.75 <=> ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_trans__Int,axiom,
% 202.84/202.75 ! [V_s_2,V_r_2,T_b] :
% 202.84/202.75 ( c_Relation_Otrans(T_b,V_r_2)
% 202.84/202.75 => ( c_Relation_Otrans(T_b,V_s_2)
% 202.84/202.75 => c_Relation_Otrans(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_SUPR__bool__eq,axiom,
% 202.84/202.75 ! [T_b] : c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_HOL_Obool) = c_Set_OBex(T_b) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_trans__reflclI,axiom,
% 202.84/202.75 ! [V_r_2,T_b] :
% 202.84/202.75 ( c_Relation_Otrans(T_b,V_r_2)
% 202.84/202.75 => c_Relation_Otrans(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_trans__inv__image,axiom,
% 202.84/202.75 ! [V_f_2,T_c,V_r_2,T_b] :
% 202.84/202.75 ( c_Relation_Otrans(T_b,V_r_2)
% 202.84/202.75 => c_Relation_Otrans(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_Bex__set__list__ex,axiom,
% 202.84/202.75 ! [V_P_2,V_xs_2,T_b] :
% 202.84/202.75 ( ? [B_x] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 202.84/202.75 & hBOOL(hAPP(V_P_2,B_x)) )
% 202.84/202.75 <=> c_List_Olist__ex(T_b,V_P_2,V_xs_2) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_list__ex__iff__raw,axiom,
% 202.84/202.75 ! [V_xs_2,V_P_2,T_b] :
% 202.84/202.75 ( c_List_Olist__ex(T_b,V_P_2,V_xs_2)
% 202.84/202.75 <=> ? [B_x] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 202.84/202.75 & hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_UN__eq,axiom,
% 202.84/202.75 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_OCollect(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),c_HOL_OEx(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2)))),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c)),c_fequal)),V_B_2))))) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_INT__eq,axiom,
% 202.84/202.75 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_OCollect(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),c_HOL_OEx(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2)))),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c)),c_fequal)),V_B_2))))) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_Sup__apply,axiom,
% 202.84/202.75 ! [V_x_2,V_A_2,T_c,T_b] :
% 202.84/202.75 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 202.84/202.75 => hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,T_b),V_A_2),V_x_2) = c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_fun(T_c,T_b))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),T_b),hAPP(c_COMBS(tc_fun(T_c,T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_c,T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_c,T_b))),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,tc_fun(T_c,T_b))),c_fequal)),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),T_c,T_b),c_COMBI(tc_fun(T_c,T_b))),V_x_2)))))) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_Sup__fun__def,axiom,
% 202.84/202.75 ! [V_x_2,V_A_2,T_c,T_b] :
% 202.84/202.75 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 202.84/202.75 => hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,T_b),V_A_2),V_x_2) = c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_fun(T_c,T_b))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),T_b),hAPP(c_COMBS(tc_fun(T_c,T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_c,T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_c,T_b))),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,tc_fun(T_c,T_b))),c_fequal)),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),T_c,T_b),c_COMBI(tc_fun(T_c,T_b))),V_x_2)))))) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_Inf__apply,axiom,
% 202.84/202.75 ! [V_x_2,V_A_2,T_c,T_b] :
% 202.84/202.75 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 202.84/202.75 => hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(T_c,T_b),V_A_2),V_x_2) = c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_fun(T_c,T_b))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),T_b),hAPP(c_COMBS(tc_fun(T_c,T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_c,T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_c,T_b))),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,tc_fun(T_c,T_b))),c_fequal)),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),T_c,T_b),c_COMBI(tc_fun(T_c,T_b))),V_x_2)))))) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_Inf__fun__def,axiom,
% 202.84/202.75 ! [V_x_2,V_A_2,T_c,T_b] :
% 202.84/202.75 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 202.84/202.75 => hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(T_c,T_b),V_A_2),V_x_2) = c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_fun(T_c,T_b))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),T_b),hAPP(c_COMBS(tc_fun(T_c,T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_c,T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_c,T_b))),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,tc_fun(T_c,T_b))),c_fequal)),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),T_c,T_b),c_COMBI(tc_fun(T_c,T_b))),V_x_2)))))) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_max__extp_Ointros,axiom,
% 202.84/202.75 ! [V_R_2,V_Y_2,V_X_2,T_b] :
% 202.84/202.75 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2))
% 202.84/202.75 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Y_2))
% 202.84/202.75 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.84/202.75 => ( ! [B_x] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_X_2))
% 202.84/202.75 => ? [B_xa] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_Y_2))
% 202.84/202.75 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) )
% 202.84/202.75 => c_Wellfounded_Omax__extp(T_b,V_R_2,V_X_2,V_Y_2) ) ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_transp__def,axiom,
% 202.84/202.75 ! [V_r_2,T_b] :
% 202.84/202.75 ( c_Predicate_Otransp(T_b,V_r_2)
% 202.84/202.75 <=> c_Relation_Otrans(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),V_r_2))) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_transpE,axiom,
% 202.84/202.75 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_b] :
% 202.84/202.75 ( c_Predicate_Otransp(T_b,V_r_2)
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2))
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(V_r_2,V_y_2),V_z_2))
% 202.84/202.75 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_z_2)) ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_equivpE,axiom,
% 202.84/202.75 ! [V_R_2,T_b] :
% 202.84/202.75 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 202.84/202.75 => ~ ( c_Predicate_Oreflp(T_b,V_R_2)
% 202.84/202.75 => ( c_Predicate_Osymp(T_b,V_R_2)
% 202.84/202.75 => ~ c_Predicate_Otransp(T_b,V_R_2) ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_equivpI,axiom,
% 202.84/202.75 ! [V_R_2,T_b] :
% 202.84/202.75 ( c_Predicate_Oreflp(T_b,V_R_2)
% 202.84/202.75 => ( c_Predicate_Osymp(T_b,V_R_2)
% 202.84/202.75 => ( c_Predicate_Otransp(T_b,V_R_2)
% 202.84/202.75 => c_Equiv__Relations_Oequivp(T_b,V_R_2) ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_sympE,axiom,
% 202.84/202.75 ! [V_y_2,V_x_2,V_r_2,T_b] :
% 202.84/202.75 ( c_Predicate_Osymp(T_b,V_r_2)
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2))
% 202.84/202.75 => hBOOL(hAPP(hAPP(V_r_2,V_y_2),V_x_2)) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_equivp__reflp__symp__transp,axiom,
% 202.84/202.75 ! [V_R_2,T_b] :
% 202.84/202.75 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 202.84/202.75 <=> ( c_Predicate_Oreflp(T_b,V_R_2)
% 202.84/202.75 & c_Predicate_Osymp(T_b,V_R_2)
% 202.84/202.75 & c_Predicate_Otransp(T_b,V_R_2) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_max__extp_Osimps,axiom,
% 202.84/202.75 ! [V_a2_2,V_a1_2,V_R_2,T_b] :
% 202.84/202.75 ( c_Wellfounded_Omax__extp(T_b,V_R_2,V_a1_2,V_a2_2)
% 202.84/202.75 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2))
% 202.84/202.75 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2))
% 202.84/202.75 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.84/202.75 & ! [B_x] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2))
% 202.84/202.75 => ? [B_xa] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2))
% 202.84/202.75 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_trans__diff__Id,axiom,
% 202.84/202.75 ! [V_r_2,T_b] :
% 202.84/202.75 ( c_Relation_Otrans(T_b,V_r_2)
% 202.84/202.75 => ( c_Relation_Oantisym(T_b,V_r_2)
% 202.84/202.75 => c_Relation_Otrans(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_antisym__converse,axiom,
% 202.84/202.75 ! [V_r_2,T_b] :
% 202.84/202.75 ( c_Relation_Oantisym(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 202.84/202.75 <=> c_Relation_Oantisym(T_b,V_r_2) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_antisym__empty,axiom,
% 202.84/202.75 ! [T_b] : c_Relation_Oantisym(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_antisym__Id,axiom,
% 202.84/202.75 ! [T_b] : c_Relation_Oantisym(T_b,c_Relation_OId(T_b)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_antisym__Id__on,axiom,
% 202.84/202.75 ! [V_A_2,T_b] : c_Relation_Oantisym(T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_antisym__subset,axiom,
% 202.84/202.75 ! [V_s_2,V_r_2,T_b] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 202.84/202.75 => ( c_Relation_Oantisym(T_b,V_s_2)
% 202.84/202.75 => c_Relation_Oantisym(T_b,V_r_2) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_antisym__def,axiom,
% 202.84/202.75 ! [V_r_2,T_b] :
% 202.84/202.75 ( c_Relation_Oantisym(T_b,V_r_2)
% 202.84/202.75 <=> ! [B_x,B_y] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_r_2))
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),B_x)),V_r_2))
% 202.84/202.75 => B_x = B_y ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_antisymD,axiom,
% 202.84/202.75 ! [V_b_2,V_a_2,V_r_2,T_b] :
% 202.84/202.75 ( c_Relation_Oantisym(T_b,V_r_2)
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_a_2)),V_r_2))
% 202.84/202.75 => V_a_2 = V_b_2 ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_antisym__reflcl,axiom,
% 202.84/202.75 ! [V_r_2,T_b] :
% 202.84/202.75 ( c_Relation_Oantisym(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b)))
% 202.84/202.75 <=> c_Relation_Oantisym(T_b,V_r_2) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_acyclic__impl__antisym__rtrancl,axiom,
% 202.84/202.75 ! [V_r_2,T_b] :
% 202.84/202.75 ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 202.84/202.75 => c_Relation_Oantisym(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_fun__lub__def,axiom,
% 202.84/202.75 ! [V_x_2,V_A_2,V_L_2,T_d,T_b,T_c] : c_Partial__Function_Ofun__lub(T_c,T_b,T_d,V_L_2,V_A_2,V_x_2) = hAPP(V_L_2,hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_d,T_c),tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(tc_fun(T_d,T_c))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_d,T_c),tc_HOL_Obool),tc_fun(tc_fun(T_d,T_c),tc_HOL_Obool),T_c),hAPP(c_COMBS(tc_fun(T_d,T_c),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_d,T_c)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(T_d,T_c),tc_fun(tc_fun(T_d,T_c),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_d,T_c))),V_A_2)))),hAPP(hAPP(c_COMBC(T_c,tc_fun(tc_fun(T_d,T_c),T_c),tc_fun(tc_fun(T_d,T_c),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_d,T_c),T_c),tc_fun(tc_fun(T_d,T_c),tc_HOL_Obool)),T_c),c_COMBB(T_c,tc_HOL_Obool,tc_fun(T_d,T_c))),c_fequal)),hAPP(hAPP(c_COMBC(tc_fun(T_d,T_c),T_d,T_c),c_COMBI(tc_fun(T_d,T_c))),V_x_2)))))) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_sym__trans__comp__subset,axiom,
% 202.84/202.75 ! [V_r_2,T_b] :
% 202.84/202.75 ( c_Relation_Osym(T_b,V_r_2)
% 202.84/202.75 => ( c_Relation_Otrans(T_b,V_r_2)
% 202.84/202.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)),V_r_2)),V_r_2)) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_sym__def,axiom,
% 202.84/202.75 ! [V_r_2,T_b] :
% 202.84/202.75 ( c_Relation_Osym(T_b,V_r_2)
% 202.84/202.75 <=> ! [B_x,B_y] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_r_2))
% 202.84/202.75 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),B_x)),V_r_2)) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_symD,axiom,
% 202.84/202.75 ! [V_b_2,V_a_2,V_r_2,T_b] :
% 202.84/202.75 ( c_Relation_Osym(T_b,V_r_2)
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 202.84/202.75 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_a_2)),V_r_2)) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_sym__rtrancl,axiom,
% 202.84/202.75 ! [V_r_2,T_b] :
% 202.84/202.75 ( c_Relation_Osym(T_b,V_r_2)
% 202.84/202.75 => c_Relation_Osym(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_sym__Id,axiom,
% 202.84/202.75 ! [T_b] : c_Relation_Osym(T_b,c_Relation_OId(T_b)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_sym__Un,axiom,
% 202.84/202.75 ! [V_s_2,V_r_2,T_b] :
% 202.84/202.75 ( c_Relation_Osym(T_b,V_r_2)
% 202.84/202.75 => ( c_Relation_Osym(T_b,V_s_2)
% 202.84/202.75 => c_Relation_Osym(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_sym__trancl,axiom,
% 202.84/202.75 ! [V_r_2,T_b] :
% 202.84/202.75 ( c_Relation_Osym(T_b,V_r_2)
% 202.84/202.75 => c_Relation_Osym(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_sym__Id__on,axiom,
% 202.84/202.75 ! [V_A_2,T_b] : c_Relation_Osym(T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_listrel__sym,axiom,
% 202.84/202.75 ! [V_r_2,T_b] :
% 202.84/202.75 ( c_Relation_Osym(T_b,V_r_2)
% 202.84/202.75 => c_Relation_Osym(tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_sym__conv__converse__eq,axiom,
% 202.84/202.75 ! [V_r_2,T_b] :
% 202.84/202.75 ( c_Relation_Osym(T_b,V_r_2)
% 202.84/202.75 <=> hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2) = V_r_2 ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_sym__converse,axiom,
% 202.84/202.75 ! [V_r_2,T_b] :
% 202.84/202.75 ( c_Relation_Osym(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 202.84/202.75 <=> c_Relation_Osym(T_b,V_r_2) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_sym__Int,axiom,
% 202.84/202.75 ! [V_s_2,V_r_2,T_b] :
% 202.84/202.75 ( c_Relation_Osym(T_b,V_r_2)
% 202.84/202.75 => ( c_Relation_Osym(T_b,V_s_2)
% 202.84/202.75 => c_Relation_Osym(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_sym__Un__converse,axiom,
% 202.84/202.75 ! [V_r_2,T_b] : c_Relation_Osym(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_sym__inv__image,axiom,
% 202.84/202.75 ! [V_f_2,T_c,V_r_2,T_b] :
% 202.84/202.75 ( c_Relation_Osym(T_b,V_r_2)
% 202.84/202.75 => c_Relation_Osym(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_sym__Int__converse,axiom,
% 202.84/202.75 ! [V_r_2,T_b] : c_Relation_Osym(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_equiv__def,axiom,
% 202.84/202.75 ! [V_r_2,V_A_2,T_b] :
% 202.84/202.75 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 202.84/202.75 <=> ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 202.84/202.75 & c_Relation_Osym(T_b,V_r_2)
% 202.84/202.75 & c_Relation_Otrans(T_b,V_r_2) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_equivI,axiom,
% 202.84/202.75 ! [V_r_2,V_A_2,T_b] :
% 202.84/202.75 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 202.84/202.75 => ( c_Relation_Osym(T_b,V_r_2)
% 202.84/202.75 => ( c_Relation_Otrans(T_b,V_r_2)
% 202.84/202.75 => c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_equivE,axiom,
% 202.84/202.75 ! [V_r_2,V_A_2,T_b] :
% 202.84/202.75 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 202.84/202.75 => ~ ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 202.84/202.75 => ( c_Relation_Osym(T_b,V_r_2)
% 202.84/202.75 => ~ c_Relation_Otrans(T_b,V_r_2) ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_symp__def,axiom,
% 202.84/202.75 ! [V_r_2,T_b] :
% 202.84/202.75 ( c_Predicate_Osymp(T_b,V_r_2)
% 202.84/202.75 <=> c_Relation_Osym(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),V_r_2))) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_part__equivpI,axiom,
% 202.84/202.75 ! [T_b,V_R_2] :
% 202.84/202.75 ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 202.84/202.75 => ( c_Predicate_Osymp(T_b,V_R_2)
% 202.84/202.75 => ( c_Predicate_Otransp(T_b,V_R_2)
% 202.84/202.75 => c_Equiv__Relations_Opart__equivp(T_b,V_R_2) ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_part__equivp__refl__symp__transp,axiom,
% 202.84/202.75 ! [V_R_2,T_b] :
% 202.84/202.75 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 202.84/202.75 <=> ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 202.84/202.75 & c_Predicate_Osymp(T_b,V_R_2)
% 202.84/202.75 & c_Predicate_Otransp(T_b,V_R_2) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_equivp__implies__part__equivp,axiom,
% 202.84/202.75 ! [V_R_2,T_b] :
% 202.84/202.75 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 202.84/202.75 => c_Equiv__Relations_Opart__equivp(T_b,V_R_2) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_part__equivp__transp,axiom,
% 202.84/202.75 ! [V_z_2,V_y_2,V_x_2,V_R_2,T_b] :
% 202.84/202.75 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_z_2))
% 202.84/202.75 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_z_2)) ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_part__equivp__symp,axiom,
% 202.84/202.75 ! [V_y_2,V_x_2,V_R_2,T_b] :
% 202.84/202.75 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 202.84/202.75 => hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_part__equivp__def,axiom,
% 202.84/202.75 ! [V_R_2,T_b] :
% 202.84/202.75 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 202.84/202.75 <=> ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 202.84/202.75 & ! [B_x,B_y] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_y))
% 202.84/202.75 <=> ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 202.84/202.75 & hBOOL(hAPP(hAPP(V_R_2,B_y),B_y))
% 202.84/202.75 & hAPP(V_R_2,B_x) = hAPP(V_R_2,B_y) ) ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_part__equivpE,axiom,
% 202.84/202.75 ! [V_R_2,T_b] :
% 202.84/202.75 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 202.84/202.75 => ~ ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 202.84/202.75 => ( c_Predicate_Osymp(T_b,V_R_2)
% 202.84/202.75 => ~ c_Predicate_Otransp(T_b,V_R_2) ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_part__equivp__typedef,axiom,
% 202.84/202.75 ! [V_R_2,T_b] :
% 202.84/202.75 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 202.84/202.75 => ? [B_d] : hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_d),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBS(T_b,T_b,tc_HOL_Obool),V_R_2),c_COMBI(T_b))))),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b)),c_fequal)),V_R_2))))) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_inj__iff,axiom,
% 202.84/202.75 ! [V_f_2,T_c,T_b] :
% 202.84/202.75 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 202.84/202.75 <=> hAPP(c_Fun_Ocomp(T_c,T_b,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)),V_f_2) = c_Fun_Oid(T_b) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_inv__o__cancel,axiom,
% 202.84/202.75 ! [V_f_2,T_c,T_b] :
% 202.84/202.75 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 202.84/202.75 => hAPP(c_Fun_Ocomp(T_c,T_b,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)),V_f_2) = c_Fun_Oid(T_b) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_inv__def,axiom,
% 202.84/202.75 ! [V_y_2,V_f_2,T_c,T_b] : hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),V_y_2) = c_Hilbert__Choice_OEps(T_b,hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2)),V_y_2)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_inv__into__def,axiom,
% 202.84/202.75 ! [V_x_2,V_f_2,V_A_2,T_c,T_b] : hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_x_2) = c_Hilbert__Choice_OEps(T_b,hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2)),V_x_2))) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_inv__id,axiom,
% 202.84/202.75 ! [T_b] : c_Hilbert__Choice_Oinv__into(T_b,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Fun_Oid(T_b)) = c_Fun_Oid(T_b) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_inv__f__f,axiom,
% 202.84/202.75 ! [V_x_2,V_f_2,T_c,T_b] :
% 202.84/202.75 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 202.84/202.75 => hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),hAPP(V_f_2,V_x_2)) = V_x_2 ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_inv__f__eq,axiom,
% 202.84/202.75 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 202.84/202.75 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 202.84/202.75 => ( hAPP(V_f_2,V_x_2) = V_y_2
% 202.84/202.75 => hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),V_y_2) = V_x_2 ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_inv__into__f__f,axiom,
% 202.84/202.75 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 202.84/202.75 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.84/202.75 => hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),hAPP(V_f_2,V_x_2)) = V_x_2 ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_inv__into__f__eq,axiom,
% 202.84/202.75 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 202.84/202.75 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 202.84/202.75 => ( hAPP(V_f_2,V_x_2) = V_y_2
% 202.84/202.75 => hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_inv__into__injective,axiom,
% 202.84/202.75 ! [V_y_2,V_x_2,V_f_2,V_A_2,T_c,T_b] :
% 202.84/202.75 ( hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_x_2) = hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_y_2)
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 202.84/202.75 => V_x_2 = V_y_2 ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_inv__into__into,axiom,
% 202.84/202.75 ! [V_A_2,V_f_2,T_c,V_x_2,T_b] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 202.84/202.75 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(c_Hilbert__Choice_Oinv__into(T_c,T_b,V_A_2,V_f_2),V_x_2)),V_A_2)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_f__inv__into__f,axiom,
% 202.84/202.75 ! [V_A_2,V_f_2,T_c,V_y_2,T_b] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 202.84/202.75 => hAPP(V_f_2,hAPP(c_Hilbert__Choice_Oinv__into(T_c,T_b,V_A_2,V_f_2),V_y_2)) = V_y_2 ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_surj__iff__all,axiom,
% 202.84/202.75 ! [V_f_2,T_b,T_c] :
% 202.84/202.75 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 202.84/202.75 <=> ! [B_x] : hAPP(V_f_2,hAPP(c_Hilbert__Choice_Oinv__into(T_c,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2),B_x)) = B_x ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_surj__f__inv__f,axiom,
% 202.84/202.75 ! [V_y_2,V_f_2,T_b,T_c] :
% 202.84/202.75 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 202.84/202.75 => hAPP(V_f_2,hAPP(c_Hilbert__Choice_Oinv__into(T_c,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2),V_y_2)) = V_y_2 ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_image__surj__f__inv__f,axiom,
% 202.84/202.75 ! [V_A_2,V_f_2,T_b,T_c] :
% 202.84/202.75 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 202.84/202.75 => hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Oimage(T_b,T_c,c_Hilbert__Choice_Oinv__into(T_c,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2)),V_A_2)) = V_A_2 ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_image__inv__into__cancel,axiom,
% 202.84/202.75 ! [V_B_H_2,V_A_H_2,V_A_2,V_f_2,T_b,T_c] :
% 202.84/202.75 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_A_H_2
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_H_2),V_A_H_2))
% 202.84/202.75 => hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Oimage(T_b,T_c,c_Hilbert__Choice_Oinv__into(T_c,T_b,V_A_2,V_f_2)),V_B_H_2)) = V_B_H_2 ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_o__inv__o__cancel,axiom,
% 202.84/202.75 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 202.84/202.75 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 202.84/202.75 => hAPP(c_Fun_Ocomp(T_c,T_d,T_b,hAPP(c_Fun_Ocomp(T_b,T_d,T_c,V_g_2),c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2))),V_f_2) = V_g_2 ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_inj__imp__surj__inv,axiom,
% 202.84/202.75 ! [V_f_2,T_c,T_b] :
% 202.84/202.75 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 202.84/202.75 => hAPP(c_Set_Oimage(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_image__inv__f__f,axiom,
% 202.84/202.75 ! [V_A_2,V_f_2,T_c,T_b] :
% 202.84/202.75 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 202.84/202.75 => hAPP(c_Set_Oimage(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = V_A_2 ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_inv__image__comp,axiom,
% 202.84/202.75 ! [V_X_2,V_f_2,T_c,T_b] :
% 202.84/202.75 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 202.84/202.75 => hAPP(c_Set_Oimage(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_X_2)) = V_X_2 ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_surj__imp__inj__inv,axiom,
% 202.84/202.75 ! [V_f_2,T_b,T_c] :
% 202.84/202.75 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 202.84/202.75 => c_Fun_Oinj__on(T_b,T_c,c_Hilbert__Choice_Oinv__into(T_c,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_inv__into__image__cancel,axiom,
% 202.84/202.75 ! [V_S_2,V_A_2,V_f_2,T_c,T_b] :
% 202.84/202.75 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_A_2))
% 202.84/202.75 => hAPP(c_Set_Oimage(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_S_2)) = V_S_2 ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_inj__on__inv__into,axiom,
% 202.84/202.75 ! [V_A_2,V_f_2,T_c,V_B_2,T_b] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 202.84/202.75 => c_Fun_Oinj__on(T_b,T_c,c_Hilbert__Choice_Oinv__into(T_c,T_b,V_A_2,V_f_2),V_B_2) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_inv__into__comp,axiom,
% 202.84/202.75 ! [V_x_2,V_A_2,V_g_2,T_d,V_f_2,T_c,T_b] :
% 202.84/202.75 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(c_Set_Oimage(T_d,T_b,V_g_2),V_A_2))
% 202.84/202.75 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,V_A_2)
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(c_Set_Oimage(T_d,T_b,V_g_2),V_A_2))))
% 202.84/202.75 => hAPP(c_Hilbert__Choice_Oinv__into(T_d,T_c,V_A_2,hAPP(c_Fun_Ocomp(T_b,T_c,T_d,V_f_2),V_g_2)),V_x_2) = hAPP(hAPP(c_Fun_Ocomp(T_b,T_d,T_c,c_Hilbert__Choice_Oinv__into(T_d,T_b,V_A_2,V_g_2)),c_Hilbert__Choice_Oinv__into(T_b,T_c,hAPP(c_Set_Oimage(T_d,T_b,V_g_2),V_A_2),V_f_2)),V_x_2) ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_surj__iff,axiom,
% 202.84/202.75 ! [V_f_2,T_b,T_c] :
% 202.84/202.75 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 202.84/202.75 <=> hAPP(c_Fun_Ocomp(T_c,T_b,T_b,V_f_2),c_Hilbert__Choice_Oinv__into(T_c,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2)) = c_Fun_Oid(T_b) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_inj__transfer,axiom,
% 202.84/202.75 ! [V_x_2,V_P_2,V_f_2,T_c,T_b] :
% 202.84/202.75 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 202.84/202.75 => ( ! [B_y] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(T_c),B_y),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))))
% 202.84/202.75 => hBOOL(hAPP(V_P_2,hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),B_y))) )
% 202.84/202.75 => hBOOL(hAPP(V_P_2,V_x_2)) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_fold__image__UN__disjoint,axiom,
% 202.84/202.75 ! [V_g_2,V_A_2,T_c,V_I_2,T_b,T_d] :
% 202.84/202.75 ( class_Groups_Ocomm__monoid__mult(T_d)
% 202.84/202.75 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_I_2))
% 202.84/202.75 => ( ! [B_x] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2))
% 202.84/202.75 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_A_2,B_x))) )
% 202.84/202.75 => ( ! [B_x] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2))
% 202.84/202.75 => ! [B_xa] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_I_2))
% 202.84/202.75 => ( B_x != B_xa
% 202.84/202.75 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_A_2,B_x)),hAPP(V_A_2,B_xa)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) )
% 202.84/202.75 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_c,c_Groups_Otimes__class_Otimes(T_d)),V_g_2),c_Groups_Oone__class_Oone(T_d)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_b,c_Groups_Otimes__class_Otimes(T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),T_d,T_b),hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_c,c_Groups_Otimes__class_Otimes(T_d)),V_g_2),c_Groups_Oone__class_Oone(T_d))),V_A_2)),c_Groups_Oone__class_Oone(T_d)),V_I_2) ) ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_nat__of__induct,axiom,
% 202.84/202.75 ! [V_P_2,V_y_2] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 202.84/202.75 => ( ! [B_x] : hBOOL(hAPP(V_P_2,hAPP(c_Code__Numeral_Onat__of,B_x)))
% 202.84/202.75 => hBOOL(hAPP(V_P_2,V_y_2)) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_nat__of__cases,axiom,
% 202.84/202.75 ! [V_y_2] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 202.84/202.75 => ~ ! [B_x] : V_y_2 != hAPP(c_Code__Numeral_Onat__of,B_x) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_of__nat__induct,axiom,
% 202.84/202.75 ! [V_x_2,V_P_2] :
% 202.84/202.75 ( ! [B_y] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_y),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 202.84/202.75 => hBOOL(hAPP(V_P_2,hAPP(c_Code__Numeral_Oof__nat,B_y))) )
% 202.84/202.75 => hBOOL(hAPP(V_P_2,V_x_2)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_of__nat__cases,axiom,
% 202.84/202.75 ! [V_x_2] :
% 202.84/202.75 ~ ! [B_y] :
% 202.84/202.75 ( V_x_2 = hAPP(c_Code__Numeral_Oof__nat,B_y)
% 202.84/202.75 => ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_y),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_lazy__sequence_Orecs_I1_J,axiom,
% 202.84/202.75 ! [V_f2_2,V_f1_2,T_c,T_b] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(T_b,T_c,V_f1_2,V_f2_2,c_Lazy__Sequence_Olazy__sequence_OEmpty(T_c)) = V_f1_2 ).
% 202.84/202.75
% 202.84/202.75 fof(fact_Least__Suc2,axiom,
% 202.84/202.75 ! [V_m_2,V_Q_2,V_n_2,V_P_2] :
% 202.84/202.75 ( hBOOL(hAPP(V_P_2,V_n_2))
% 202.84/202.75 => ( hBOOL(hAPP(V_Q_2,V_m_2))
% 202.84/202.75 => ( ~ hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 202.84/202.75 => ( ! [B_k] :
% 202.84/202.75 ( hBOOL(hAPP(V_P_2,hAPP(c_Nat_OSuc,B_k)))
% 202.84/202.75 <=> hBOOL(hAPP(V_Q_2,B_k)) )
% 202.84/202.75 => c_Orderings_Oord__class_OLeast(tc_Nat_Onat,V_P_2) = hAPP(c_Nat_OSuc,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,V_Q_2)) ) ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_lazy__sequence_Orecs_I2_J,axiom,
% 202.84/202.75 ! [V_lazy__sequence_2,V_a_2,V_f2_2,V_f1_2,T_c,T_b] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(T_b,T_c,V_f1_2,V_f2_2,c_Lazy__Sequence_Olazy__sequence_OInsert(T_c,V_a_2,V_lazy__sequence_2)) = hAPP(hAPP(hAPP(V_f2_2,V_a_2),V_lazy__sequence_2),c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(T_b,T_c,V_f1_2,V_f2_2,V_lazy__sequence_2)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_beyond__def,axiom,
% 202.84/202.75 ! [V_l,V_k] :
% 202.84/202.75 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 202.84/202.75 => c_Quickcheck_Obeyond(V_k,V_l) = V_l )
% 202.84/202.75 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 202.84/202.75 => c_Quickcheck_Obeyond(V_k,V_l) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_bij__image__Collect__eq,axiom,
% 202.84/202.75 ! [V_P_2,V_f_2,T_c,T_b] :
% 202.84/202.75 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 202.84/202.75 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(c_Set_OCollect(T_b),V_P_2)) = hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(T_b,tc_HOL_Obool,T_c),V_P_2),c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2))) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_bij__betw__id,axiom,
% 202.84/202.75 ! [V_A_2,T_b] : c_Fun_Obij__betw(T_b,T_b,c_Fun_Oid(T_b),V_A_2,V_A_2) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_bij__betw__inv__into,axiom,
% 202.84/202.75 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 202.84/202.75 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 202.84/202.75 => c_Fun_Obij__betw(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_B_2,V_A_2) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_inv__into__inv__into__eq,axiom,
% 202.84/202.75 ! [V_a_2,V_A_H_2,V_A_2,V_f_2,T_c,T_b] :
% 202.84/202.75 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2)
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 202.84/202.75 => hAPP(c_Hilbert__Choice_Oinv__into(T_c,T_b,V_A_H_2,c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2)),V_a_2) = hAPP(V_f_2,V_a_2) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_inv__inv__eq,axiom,
% 202.84/202.75 ! [V_f_2,T_c,T_b] :
% 202.84/202.75 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 202.84/202.75 => c_Hilbert__Choice_Oinv__into(T_c,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)) = V_f_2 ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_bij__imp__bij__inv,axiom,
% 202.84/202.75 ! [V_f_2,T_c,T_b] :
% 202.84/202.75 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 202.84/202.75 => c_Fun_Obij__betw(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_o__inv__distrib,axiom,
% 202.84/202.75 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 202.84/202.75 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 202.84/202.75 => ( c_Fun_Obij__betw(T_d,T_b,V_g_2,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 202.84/202.75 => c_Hilbert__Choice_Oinv__into(T_d,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)),hAPP(c_Fun_Ocomp(T_b,T_c,T_d,V_f_2),V_g_2)) = hAPP(c_Fun_Ocomp(T_b,T_d,T_c,c_Hilbert__Choice_Oinv__into(T_d,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)),V_g_2)),c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_bij__betw__comp__iff2,axiom,
% 202.84/202.75 ! [V_A_2,V_f_2,T_d,V_A_H_H_2,V_A_H_2,V_f_H_2,T_c,T_b] :
% 202.84/202.75 ( c_Fun_Obij__betw(T_b,T_c,V_f_H_2,V_A_H_2,V_A_H_H_2)
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_d,T_b,V_f_2),V_A_2)),V_A_H_2))
% 202.84/202.75 => ( c_Fun_Obij__betw(T_d,T_b,V_f_2,V_A_2,V_A_H_2)
% 202.84/202.75 <=> c_Fun_Obij__betw(T_d,T_c,hAPP(c_Fun_Ocomp(T_b,T_c,T_d,V_f_H_2),V_f_2),V_A_2,V_A_H_H_2) ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_bij__comp,axiom,
% 202.84/202.75 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 202.84/202.75 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 202.84/202.75 => ( c_Fun_Obij__betw(T_c,T_d,V_g_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)))
% 202.84/202.75 => c_Fun_Obij__betw(T_b,T_d,hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_g_2),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_bij__betw__comp__iff,axiom,
% 202.84/202.75 ! [V_A_H_H_2,V_f_H_2,T_d,V_A_H_2,V_A_2,V_f_2,T_c,T_b] :
% 202.84/202.75 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2)
% 202.84/202.75 => ( c_Fun_Obij__betw(T_c,T_d,V_f_H_2,V_A_H_2,V_A_H_H_2)
% 202.84/202.75 <=> c_Fun_Obij__betw(T_b,T_d,hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_f_H_2),V_f_2),V_A_2,V_A_H_H_2) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_bij__betw__trans,axiom,
% 202.84/202.75 ! [V_C_2,V_g_2,T_d,V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 202.84/202.75 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 202.84/202.75 => ( c_Fun_Obij__betw(T_c,T_d,V_g_2,V_B_2,V_C_2)
% 202.84/202.75 => c_Fun_Obij__betw(T_b,T_d,hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_g_2),V_f_2),V_A_2,V_C_2) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_bij__image__Compl__eq,axiom,
% 202.84/202.75 ! [V_A_2,V_f_2,T_c,T_b] :
% 202.84/202.75 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 202.84/202.75 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_bijI,axiom,
% 202.84/202.75 ! [V_f_2,T_c,T_b] :
% 202.84/202.75 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 202.84/202.75 => ( hAPP(c_Set_Oimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))
% 202.84/202.75 => c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_bij__def,axiom,
% 202.84/202.75 ! [V_f_2,T_c,T_b] :
% 202.84/202.75 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 202.84/202.75 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 202.84/202.75 & hAPP(c_Set_Oimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_bij__betw__subset,axiom,
% 202.84/202.75 ! [V_B_H_2,V_B_2,V_A_H_2,V_A_2,V_f_2,T_c,T_b] :
% 202.84/202.75 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2)
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 202.84/202.75 => ( hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2) = V_B_H_2
% 202.84/202.75 => c_Fun_Obij__betw(T_b,T_c,V_f_2,V_B_2,V_B_H_2) ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_bij__betw__imp__surj,axiom,
% 202.84/202.75 ! [V_A_2,V_f_2,T_c,T_b] :
% 202.84/202.75 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 202.84/202.75 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_bij__is__surj,axiom,
% 202.84/202.75 ! [V_f_2,T_c,T_b] :
% 202.84/202.75 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 202.84/202.75 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_bij__betw__def,axiom,
% 202.84/202.75 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 202.84/202.75 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 202.84/202.75 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 202.84/202.75 & hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) = V_B_2 ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_inj__on__imp__bij__betw,axiom,
% 202.84/202.75 ! [V_A_2,V_f_2,T_c,T_b] :
% 202.84/202.75 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 202.84/202.75 => c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_bij__betw__imp__inj__on,axiom,
% 202.84/202.75 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 202.84/202.75 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 202.84/202.75 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_bij__is__inj,axiom,
% 202.84/202.75 ! [V_f_2,T_c,T_b] :
% 202.84/202.75 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 202.84/202.75 => c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_beyond__zero,axiom,
% 202.84/202.75 ! [V_k] : c_Quickcheck_Obeyond(V_k,c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_bij__betw__the__inv__into,axiom,
% 202.84/202.75 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 202.84/202.75 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 202.84/202.75 => c_Fun_Obij__betw(T_c,T_b,c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_B_2,V_A_2) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_bij__betw__same__card,axiom,
% 202.84/202.75 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 202.84/202.75 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 202.84/202.75 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_bij__betw__empty1,axiom,
% 202.84/202.75 ! [V_A_2,V_f_2,T_c,T_b] :
% 202.84/202.75 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_A_2)
% 202.84/202.75 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_bij__betw__empty2,axiom,
% 202.84/202.75 ! [V_A_2,V_f_2,T_c,T_b] :
% 202.84/202.75 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))
% 202.84/202.75 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_BIJ,axiom,
% 202.84/202.75 ! [V_B_2,T_c,V_A_2,T_b] :
% 202.84/202.75 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.84/202.75 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 202.84/202.75 => ( ? [B_f] : c_Fun_Obij__betw(T_b,T_c,B_f,V_A_2,V_B_2)
% 202.84/202.75 <=> hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_bij__betw__finite,axiom,
% 202.84/202.75 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 202.84/202.75 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 202.84/202.75 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.84/202.75 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_bij__betw__id__iff,axiom,
% 202.84/202.75 ! [V_B_2,V_A_2,T_b] :
% 202.84/202.75 ( c_Fun_Obij__betw(T_b,T_b,c_Fun_Oid(T_b),V_A_2,V_B_2)
% 202.84/202.75 <=> V_A_2 = V_B_2 ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_bij__id,axiom,
% 202.84/202.75 ! [T_b] : c_Fun_Obij__betw(T_b,T_b,c_Fun_Oid(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_bij__betw__Disj__Un,axiom,
% 202.84/202.75 ! [V_f_2,V_B_H_2,V_A_H_2,T_c,V_B_2,V_A_2,T_b] :
% 202.84/202.75 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 202.84/202.75 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_H_2),V_B_H_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 202.84/202.75 => ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2)
% 202.84/202.75 => ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_B_2,V_B_H_2)
% 202.84/202.75 => c_Fun_Obij__betw(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_H_2),V_B_H_2)) ) ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_bij__betw__combine,axiom,
% 202.84/202.75 ! [V_D_2,V_C_2,V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 202.84/202.75 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 202.84/202.75 => ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_C_2,V_D_2)
% 202.84/202.75 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_D_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 202.84/202.75 => c_Fun_Obij__betw(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_D_2)) ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_finite__vimage__iff,axiom,
% 202.84/202.75 ! [V_F_2,V_h_2,T_c,T_b] :
% 202.84/202.75 ( c_Fun_Obij__betw(T_b,T_c,V_h_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 202.84/202.75 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Ovimage(T_b,T_c,V_h_2),V_F_2)))
% 202.84/202.75 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_F_2)) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_bij__image__INT,axiom,
% 202.84/202.75 ! [V_B_2,V_A_2,T_d,V_f_2,T_c,T_b] :
% 202.84/202.75 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 202.84/202.75 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_d),c_Set_Oimage(T_b,T_c,V_f_2)),V_B_2)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_vimage__subset__eq,axiom,
% 202.84/202.75 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 202.84/202.75 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)),V_A_2))
% 202.84/202.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_bij__vimage__eq__inv__image,axiom,
% 202.84/202.75 ! [V_A_2,V_f_2,T_c,T_b] :
% 202.84/202.75 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 202.84/202.75 => hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2) = hAPP(c_Set_Oimage(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)),V_A_2) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_ex__bij__betw__nat__finite__1,axiom,
% 202.84/202.75 ! [V_M_2,T_b] :
% 202.84/202.75 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_M_2))
% 202.84/202.75 => ? [B_h] : c_Fun_Obij__betw(tc_Nat_Onat,T_b,B_h,c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_M_2)),V_M_2) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_Cantor__Bernstein,axiom,
% 202.84/202.75 ! [V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 202.84/202.75 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),V_B_2))
% 202.84/202.75 => ( c_Fun_Oinj__on(T_c,T_b,V_g_2,V_B_2)
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_g_2),V_B_2)),V_A_2))
% 202.84/202.75 => ? [B_h] : c_Fun_Obij__betw(T_b,T_c,B_h,V_A_2,V_B_2) ) ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_ex__bij__betw__nat__finite,axiom,
% 202.84/202.75 ! [V_M_2,T_b] :
% 202.84/202.75 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_M_2))
% 202.84/202.75 => ? [B_h] : c_Fun_Obij__betw(tc_Nat_Onat,T_b,B_h,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),V_M_2)),V_M_2) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_ex__bij__betw__finite__nat,axiom,
% 202.84/202.75 ! [V_M_2,T_b] :
% 202.84/202.75 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_M_2))
% 202.84/202.75 => ? [B_h] : c_Fun_Obij__betw(T_b,tc_Nat_Onat,B_h,V_M_2,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),V_M_2))) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_curry__def,axiom,
% 202.84/202.75 ! [V_y_2,V_x_2,V_c_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Ocurry(T_c,T_d,T_b,V_c_2),V_x_2),V_y_2) = hAPP(V_c_2,hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_x_2),V_y_2)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_refl__on__UNION,axiom,
% 202.84/202.75 ! [V_r_2,V_A_2,T_c,V_S_2,T_b] :
% 202.84/202.75 ( ! [B_x] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 202.84/202.75 => c_Relation_Orefl__on(T_c,hAPP(V_A_2,B_x),hAPP(V_r_2,B_x)) )
% 202.84/202.75 => c_Relation_Orefl__on(T_c,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_S_2),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_S_2),V_r_2)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_curryI,axiom,
% 202.84/202.75 ! [V_b_2,V_a_2,T_c,T_b,V_f_2] :
% 202.84/202.75 ( hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)))
% 202.84/202.75 => hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_curry__split,axiom,
% 202.84/202.75 ! [V_f_2,T_d,T_c,T_b] : c_Product__Type_Ocurry(T_b,T_c,T_d,hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_f_2)) = V_f_2 ).
% 202.84/202.75
% 202.84/202.75 fof(fact_split__curry,axiom,
% 202.84/202.75 ! [V_f_2,T_d,T_c,T_b] : hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),c_Product__Type_Ocurry(T_b,T_c,T_d,V_f_2)) = V_f_2 ).
% 202.84/202.75
% 202.84/202.75 fof(fact_curry__conv,axiom,
% 202.84/202.75 ! [V_b_2,V_a_2,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Ocurry(T_c,T_d,T_b,V_f_2),V_a_2),V_b_2) = hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_curryE,axiom,
% 202.84/202.75 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2))
% 202.84/202.75 => hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_curryD,axiom,
% 202.84/202.75 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2))
% 202.84/202.75 => hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_bex__reg__eqv,axiom,
% 202.84/202.75 ! [V_P_2,V_R_2,T_b] :
% 202.84/202.75 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 202.84/202.75 => ( ? [B_x] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Quotient_ORespects(T_b,V_R_2)))
% 202.84/202.75 & hBOOL(hAPP(V_P_2,B_x)) )
% 202.84/202.75 <=> ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_wf__weak__decr__stable,axiom,
% 202.84/202.75 ! [V_r_2,V_f_2,T_b] :
% 202.84/202.75 ( ! [B_i] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(V_f_2,hAPP(c_Nat_OSuc,B_i))),hAPP(V_f_2,B_i))),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 202.84/202.75 => ( c_Wellfounded_Owf(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2))
% 202.84/202.75 => ? [B_i] :
% 202.84/202.75 ! [B_k] : hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_i),B_k)) = hAPP(V_f_2,B_i) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_Respects__def,axiom,
% 202.84/202.75 ! [V_x_2,V_R_2,T_b] :
% 202.84/202.75 ( hBOOL(hAPP(c_Quotient_ORespects(T_b,V_R_2),V_x_2))
% 202.84/202.75 <=> hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_in__respects,axiom,
% 202.84/202.75 ! [V_R_2,V_x_2,T_b] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Quotient_ORespects(T_b,V_R_2)))
% 202.84/202.75 <=> hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_bex__reg__right,axiom,
% 202.84/202.75 ! [V_P_2,V_Q_2,V_R_2,T_b] :
% 202.84/202.75 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 202.84/202.75 => ( ! [B_x] :
% 202.84/202.75 ( hBOOL(hAPP(V_Q_2,B_x))
% 202.84/202.75 => hBOOL(hAPP(V_P_2,B_x)) )
% 202.84/202.75 => ( ? [B_x1] : hBOOL(hAPP(V_Q_2,B_x1))
% 202.84/202.75 => ? [B_x] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Quotient_ORespects(T_b,V_R_2)))
% 202.84/202.75 & hBOOL(hAPP(V_P_2,B_x)) ) ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_babs__reg__eqv,axiom,
% 202.84/202.75 ! [V_P_2,T_c,V_R_2,T_b] :
% 202.84/202.75 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 202.84/202.75 => c_Quotient_OBabs(T_b,T_c,c_Quotient_ORespects(T_b,V_R_2),V_P_2) = V_P_2 ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_Babs__def,axiom,
% 202.84/202.75 ! [V_m_2,T_c,V_p_2,V_x_2,T_b] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_p_2))
% 202.84/202.75 => hAPP(c_Quotient_OBabs(T_b,T_c,V_p_2,V_m_2),V_x_2) = hAPP(V_m_2,V_x_2) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_INT__anti__mono,axiom,
% 202.84/202.75 ! [V_g_2,V_f_2,T_c,V_A_2,V_B_2,T_b] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 202.84/202.75 => ( ! [B_x] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 202.84/202.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 202.84/202.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_f_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_g_2))) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_INT__greatest,axiom,
% 202.84/202.75 ! [V_B_2,V_C_2,T_c,V_A_2,T_b] :
% 202.84/202.75 ( ! [B_x] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 202.84/202.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(V_B_2,B_x))) )
% 202.84/202.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_rtrancl__induct2,axiom,
% 202.84/202.75 ! [V_P_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_c,T_b] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_ax_2),V_ay_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_bx_2),V_by_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_b,T_c),V_r_2)))
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(V_P_2,V_ax_2),V_ay_2))
% 202.84/202.75 => ( ! [B_a,B_b] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_ax_2),V_ay_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b))),c_Transitive__Closure_Ortrancl(tc_prod(T_b,T_c),V_r_2)))
% 202.84/202.75 => ! [B_aa,B_ba] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_aa),B_ba))),V_r_2))
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(V_P_2,B_a),B_b))
% 202.84/202.75 => hBOOL(hAPP(hAPP(V_P_2,B_aa),B_ba)) ) ) )
% 202.84/202.75 => hBOOL(hAPP(hAPP(V_P_2,V_bx_2),V_by_2)) ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_converse__rtrancl__induct2,axiom,
% 202.84/202.75 ! [V_P_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_c,T_b] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_ax_2),V_ay_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_bx_2),V_by_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_b,T_c),V_r_2)))
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(V_P_2,V_bx_2),V_by_2))
% 202.84/202.75 => ( ! [B_a,B_b,B_aa,B_ba] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_aa),B_ba))),V_r_2))
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_aa),B_ba)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_bx_2),V_by_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_b,T_c),V_r_2)))
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(V_P_2,B_aa),B_ba))
% 202.84/202.75 => hBOOL(hAPP(hAPP(V_P_2,B_a),B_b)) ) ) )
% 202.84/202.75 => hBOOL(hAPP(hAPP(V_P_2,V_ax_2),V_ay_2)) ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_converse__rtranclE2,axiom,
% 202.84/202.75 ! [V_r_2,V_zb_2,V_za_2,V_xb_2,V_xa_2,T_c,T_b] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_xa_2),V_xb_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_za_2),V_zb_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_b,T_c),V_r_2)))
% 202.84/202.75 => ( hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_xa_2),V_xb_2) != hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_za_2),V_zb_2)
% 202.84/202.75 => ~ ! [B_a,B_b] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_xa_2),V_xb_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b))),V_r_2))
% 202.84/202.75 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_za_2),V_zb_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_b,T_c),V_r_2))) ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_congruent2I_H,axiom,
% 202.84/202.75 ! [T_d,V_f_2,V_r2_2,T_c,V_r1_2,T_b] :
% 202.84/202.75 ( ! [B_y1,B_z1] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y1),B_z1)),V_r1_2))
% 202.84/202.75 => ! [B_y2,B_z2] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),B_y2),B_z2)),V_r2_2))
% 202.84/202.75 => hAPP(hAPP(V_f_2,B_y1),B_y2) = hAPP(hAPP(V_f_2,B_z1),B_z2) ) )
% 202.84/202.75 => c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_congruentI,axiom,
% 202.84/202.75 ! [T_c,V_f_2,V_r_2,T_b] :
% 202.84/202.75 ( ! [B_y,B_z] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),B_z)),V_r_2))
% 202.84/202.75 => hAPP(V_f_2,B_y) = hAPP(V_f_2,B_z) )
% 202.84/202.75 => c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact__03,axiom,
% 202.84/202.75 ! [V_xqq,V_xq,T_a] : c_Lazy__Sequence_Oflat(T_a,c_Lazy__Sequence_Olazy__sequence_OInsert(tc_Lazy__Sequence_Olazy__sequence(T_a),V_xq,V_xqq)) = c_Lazy__Sequence_Oappend(T_a,V_xq,c_Lazy__Sequence_Oflat(T_a,V_xqq)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact__04,axiom,
% 202.84/202.75 ! [T_a] : c_Lazy__Sequence_Oflat(T_a,c_Lazy__Sequence_Olazy__sequence_OEmpty(tc_Lazy__Sequence_Olazy__sequence(T_a))) = c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a) ).
% 202.84/202.75
% 202.84/202.75 fof(fact__05,axiom,
% 202.84/202.75 ! [V_f_2,V_xq_2,T_b,T_c] : hAPP(c_Lazy__Sequence_Obind(T_c,T_b,V_xq_2),V_f_2) = c_Lazy__Sequence_Oflat(T_b,c_Lazy__Sequence_Omap(T_c,tc_Lazy__Sequence_Olazy__sequence(T_b),V_f_2,V_xq_2)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_folding__image_Ocong,axiom,
% 202.84/202.75 ! [V_h_2,V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 202.84/202.75 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 202.84/202.75 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 202.84/202.75 => ( ! [B_x] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 202.84/202.75 => hAPP(V_g_2,B_x) = hAPP(V_h_2,B_x) )
% 202.84/202.75 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = hAPP(hAPP(V_F_2,V_h_2),V_A_2) ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact__06,axiom,
% 202.84/202.75 ! [V_xq_2,V_x_2,V_f_2,T_b,T_c] : c_Lazy__Sequence_Omap(T_c,T_b,V_f_2,c_Lazy__Sequence_Olazy__sequence_OInsert(T_c,V_x_2,V_xq_2)) = c_Lazy__Sequence_Olazy__sequence_OInsert(T_b,hAPP(V_f_2,V_x_2),c_Lazy__Sequence_Omap(T_c,T_b,V_f_2,V_xq_2)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact__07,axiom,
% 202.84/202.75 ! [V_f_2,T_b,T_c] : c_Lazy__Sequence_Omap(T_c,T_b,V_f_2,c_Lazy__Sequence_Olazy__sequence_OEmpty(T_c)) = c_Lazy__Sequence_Olazy__sequence_OEmpty(T_b) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_New__DSequence_Opos__map__def,axiom,
% 202.84/202.75 ! [V_i_2,V_xq_2,V_f_2,T_b,T_c] : c_New__DSequence_Opos__map(T_c,T_b,V_f_2,V_xq_2,V_i_2) = c_Lazy__Sequence_Omap(T_c,T_b,V_f_2,hAPP(V_xq_2,V_i_2)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_power__dvd__imp__le,axiom,
% 202.84/202.75 ! [V_n,V_m,V_i] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_m)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_n)))
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_i))
% 202.84/202.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_dvd_Oorder__refl,axiom,
% 202.84/202.75 ! [V_x] : hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_x)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_dvd__0__right,axiom,
% 202.84/202.75 ! [V_a,T_a] :
% 202.84/202.75 ( class_Rings_Ocomm__semiring__1(T_a)
% 202.84/202.75 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_dvd__1__left,axiom,
% 202.84/202.75 ! [V_k] : hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_k)) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_nat__mult__dvd__cancel1,axiom,
% 202.84/202.75 ! [V_n_2,V_m_2,V_k_2] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2)))
% 202.84/202.75 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_dvd__mult__cancel,axiom,
% 202.84/202.75 ! [V_n,V_m,V_k] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(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)))
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 202.84/202.75 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_inf__period_I4_J,axiom,
% 202.84/202.75 ! [V_t_2,V_D_2,V_d_2,T_b] :
% 202.84/202.75 ( ( class_Rings_Ocomm__ring(T_b)
% 202.84/202.75 & class_Rings_Odvd(T_b) )
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),V_D_2))
% 202.84/202.75 => ! [B_x,B_k] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),B_x),V_t_2)))
% 202.84/202.75 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),B_k),V_D_2))),V_t_2))) ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_inf__period_I3_J,axiom,
% 202.84/202.75 ! [V_t_2,V_D_2,V_d_2,T_b] :
% 202.84/202.75 ( ( class_Rings_Ocomm__ring(T_b)
% 202.84/202.75 & class_Rings_Odvd(T_b) )
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),V_D_2))
% 202.84/202.75 => ! [B_x,B_k] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),B_x),V_t_2)))
% 202.84/202.75 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),B_k),V_D_2))),V_t_2))) ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_dvd__div__div__eq__mult,axiom,
% 202.84/202.75 ! [V_d_2,V_b_2,V_c_2,V_a_2,T_b] :
% 202.84/202.75 ( class_Divides_Osemiring__div(T_b)
% 202.84/202.75 => ( V_a_2 != c_Groups_Ozero__class_Ozero(T_b)
% 202.84/202.75 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2))
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_c_2),V_d_2))
% 202.84/202.75 => ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_b),V_b_2),V_a_2) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_b),V_d_2),V_c_2)
% 202.84/202.75 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_c_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_d_2) ) ) ) ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_dvd__div__eq__mult,axiom,
% 202.84/202.75 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 202.84/202.75 ( class_Divides_Osemiring__div(T_b)
% 202.84/202.75 => ( V_a_2 != c_Groups_Ozero__class_Ozero(T_b)
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2))
% 202.84/202.75 => ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_b),V_b_2),V_a_2) = V_c_2
% 202.84/202.75 <=> V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2) ) ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_dvd__mult__div__cancel,axiom,
% 202.84/202.75 ! [V_b,V_a,T_a] :
% 202.84/202.75 ( class_Divides_Osemiring__div(T_a)
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 202.84/202.75 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_b),V_a)) = V_b ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_div__mult__swap,axiom,
% 202.84/202.75 ! [V_a,V_b,V_c,T_a] :
% 202.84/202.75 ( class_Divides_Osemiring__div(T_a)
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_c),V_b))
% 202.84/202.75 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_b),V_c)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_c) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_dvd__div__mult__self,axiom,
% 202.84/202.75 ! [V_b,V_a,T_a] :
% 202.84/202.75 ( class_Divides_Osemiring__div(T_a)
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 202.84/202.75 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_b),V_a)),V_a) = V_b ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_dvd__div__mult,axiom,
% 202.84/202.75 ! [V_c,V_b,V_a,T_a] :
% 202.84/202.75 ( class_Divides_Osemiring__div(T_a)
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 202.84/202.75 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_b),V_a)),V_c) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)),V_a) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_div__mult__div__if__dvd,axiom,
% 202.84/202.75 ! [V_w,V_z,V_x,V_y,T_a] :
% 202.84/202.75 ( class_Divides_Osemiring__div(T_a)
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x))
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_z),V_w))
% 202.84/202.75 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_x),V_y)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_w),V_z)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_z)) ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_dvd__mult__cancel__left,axiom,
% 202.84/202.75 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 202.84/202.75 ( class_Rings_Oidom(T_b)
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_b_2)))
% 202.84/202.75 <=> ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 202.84/202.75 | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2)) ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_dvd__mult__cancel__right,axiom,
% 202.84/202.75 ! [V_b_2,V_c_2,V_a_2,T_b] :
% 202.84/202.75 ( class_Rings_Oidom(T_b)
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_c_2)))
% 202.84/202.75 <=> ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 202.84/202.75 | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2)) ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_dvd__triv__left,axiom,
% 202.84/202.75 ! [V_b,V_a,T_a] :
% 202.84/202.75 ( class_Rings_Ocomm__semiring__1(T_a)
% 202.84/202.75 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_dvd__triv__right,axiom,
% 202.84/202.75 ! [V_b,V_a,T_a] :
% 202.84/202.75 ( class_Rings_Ocomm__semiring__1(T_a)
% 202.84/202.75 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a))) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_dvd__mult2,axiom,
% 202.84/202.75 ! [V_c,V_b,V_a,T_a] :
% 202.84/202.75 ( class_Rings_Ocomm__semiring__1(T_a)
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 202.84/202.75 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_dvd__mult,axiom,
% 202.84/202.75 ! [V_b,V_c,V_a,T_a] :
% 202.84/202.75 ( class_Rings_Ocomm__semiring__1(T_a)
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c))
% 202.84/202.75 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_mult__dvd__mono,axiom,
% 202.84/202.75 ! [V_d,V_c,V_b,V_a,T_a] :
% 202.84/202.75 ( class_Rings_Ocomm__semiring__1(T_a)
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_c),V_d))
% 202.84/202.75 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d))) ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_dvdI,axiom,
% 202.84/202.75 ! [V_k,V_b,V_a,T_a] :
% 202.84/202.75 ( class_Rings_Odvd(T_a)
% 202.84/202.75 => ( V_a = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_k)
% 202.84/202.75 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_b),V_a)) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_dvd__mult__left,axiom,
% 202.84/202.75 ! [V_c,V_b,V_a,T_a] :
% 202.84/202.75 ( class_Rings_Ocomm__semiring__1(T_a)
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_c))
% 202.84/202.75 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c)) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_dvd__mult__right,axiom,
% 202.84/202.75 ! [V_c,V_b,V_a,T_a] :
% 202.84/202.75 ( class_Rings_Ocomm__semiring__1(T_a)
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_c))
% 202.84/202.75 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_b),V_c)) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_nat__mult__dvd__cancel__disj,axiom,
% 202.84/202.75 ! [V_n_2,V_m_2,V_k_2] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2)))
% 202.84/202.75 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 202.84/202.75 | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_unity__coeff__ex,axiom,
% 202.84/202.75 ! [V_l_2,V_P_2,T_b] :
% 202.84/202.75 ( ( class_Rings_Odvd(T_b)
% 202.84/202.75 & class_Rings_Osemiring__0(T_b) )
% 202.84/202.75 => ( ? [B_x] : hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_l_2),B_x)))
% 202.84/202.75 <=> ? [B_x] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_l_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),B_x),c_Groups_Ozero__class_Ozero(T_b))))
% 202.84/202.75 & hBOOL(hAPP(V_P_2,B_x)) ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_dvd__setprod,axiom,
% 202.84/202.75 ! [V_f_2,V_i_2,V_A_2,T_b,T_c] :
% 202.84/202.75 ( class_Rings_Ocomm__semiring__1(T_c)
% 202.84/202.75 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2))
% 202.84/202.75 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_c),hAPP(V_f_2,V_i_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2))) ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_dvd_OatLeastAtMost__singleton__iff,axiom,
% 202.84/202.75 ! [V_c_2,V_b_2,V_a_2] :
% 202.84/202.75 ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_b_2) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_c_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))
% 202.84/202.75 <=> ( V_a_2 = V_b_2
% 202.84/202.75 & V_b_2 = V_c_2 ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_dvd_OatLeastAtMost__singleton,axiom,
% 202.84/202.75 ! [V_a_2] : c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_a_2) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_dvd_OatLeastAtMost__singleton_H,axiom,
% 202.84/202.75 ! [V_b_2,V_a_2] :
% 202.84/202.75 ( V_a_2 = V_b_2
% 202.84/202.75 => c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_b_2) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_dvd_OgreaterThanAtMost__empty,axiom,
% 202.84/202.75 ! [V_k_2,V_l_2] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2))
% 202.84/202.75 => c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_dvd_OatLeastLessThan__empty,axiom,
% 202.84/202.75 ! [V_a_2,V_b_2] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2))
% 202.84/202.75 => c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_a_2,V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_dvd_OgreaterThanLessThan__empty,axiom,
% 202.84/202.75 ! [V_k_2,V_l_2] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2))
% 202.84/202.75 => c_SetInterval_Oord_OgreaterThanLessThan(tc_Nat_Onat,hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_dvd_OgreaterThanAtMost__empty__iff,axiom,
% 202.84/202.75 ! [V_l_2,V_k_2] :
% 202.84/202.75 ( c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))
% 202.84/202.75 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_l_2))
% 202.84/202.75 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2)) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_dvd_OatLeastLessThan__empty__iff,axiom,
% 202.84/202.75 ! [V_b_2,V_a_2] :
% 202.84/202.75 ( c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_a_2,V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))
% 202.84/202.75 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2))
% 202.84/202.75 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2)) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_dvd_OgreaterThanAtMost__empty__iff2,axiom,
% 202.84/202.75 ! [V_l_2,V_k_2] :
% 202.84/202.75 ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) = c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_k_2,V_l_2)
% 202.84/202.75 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_l_2))
% 202.84/202.75 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2)) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_dvd_OatLeastLessThan__empty__iff2,axiom,
% 202.84/202.75 ! [V_b_2,V_a_2] :
% 202.84/202.75 ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) = c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_a_2,V_b_2)
% 202.84/202.75 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2))
% 202.84/202.75 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2)) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_dvd_OatLeastatMost__empty,axiom,
% 202.84/202.75 ! [V_a_2,V_b_2] :
% 202.84/202.75 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2))
% 202.84/202.75 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) )
% 202.84/202.75 => c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_dvd_OatLeastatMost__empty__iff,axiom,
% 202.84/202.75 ! [V_b_2,V_a_2] :
% 202.84/202.75 ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))
% 202.84/202.75 <=> ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_dvd_OatLeastatMost__empty__iff2,axiom,
% 202.84/202.75 ! [V_b_2,V_a_2] :
% 202.84/202.75 ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) = c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_b_2)
% 202.84/202.75 <=> ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_dvd__diff,axiom,
% 202.84/202.75 ! [V_z,V_y,V_x,T_a] :
% 202.84/202.75 ( class_Rings_Ocomm__ring__1(T_a)
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_y))
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_z))
% 202.84/202.75 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_y),V_z))) ) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_dvd__diff__nat,axiom,
% 202.84/202.75 ! [V_n,V_m,V_k] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_m))
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n))
% 202.84/202.75 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n))) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_minus__dvd__iff,axiom,
% 202.84/202.75 ! [V_y_2,V_x_2,T_b] :
% 202.84/202.75 ( class_Rings_Ocomm__ring__1(T_b)
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)),V_y_2))
% 202.84/202.75 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_x_2),V_y_2)) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_dvd__minus__iff,axiom,
% 202.84/202.75 ! [V_y_2,V_x_2,T_b] :
% 202.84/202.75 ( class_Rings_Ocomm__ring__1(T_b)
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_x_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2)))
% 202.84/202.75 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_x_2),V_y_2)) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_dvd__neg__div,axiom,
% 202.84/202.75 ! [V_x,V_y,T_a] :
% 202.84/202.75 ( class_Divides_Oring__div(T_a)
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x))
% 202.84/202.75 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)),V_y) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_x),V_y)) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_dvd__div__neg,axiom,
% 202.84/202.75 ! [V_x,V_y,T_a] :
% 202.84/202.75 ( class_Divides_Oring__div(T_a)
% 202.84/202.75 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x))
% 202.84/202.75 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_x),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y)) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_x),V_y)) ) ) ).
% 202.84/202.75
% 202.84/202.75 fof(fact_dvd__1__iff__1,axiom,
% 202.84/202.75 ! [V_m_2] :
% 202.84/202.75 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))
% 202.84/202.75 <=> V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ).
% 202.84/202.75
% 202.84/202.75 %----Arity declarations (220)
% 202.84/202.75 fof(arity_HOL__Obool__Lattices_Obounded__lattice,axiom,
% 202.84/202.75 class_Lattices_Obounded__lattice(tc_HOL_Obool) ).
% 202.84/202.75
% 202.84/202.75 fof(arity_fun__Lattices_Obounded__lattice,axiom,
% 202.84/202.75 ! [T_2,T_1] :
% 202.84/202.75 ( class_Lattices_Obounded__lattice(T_1)
% 202.84/202.75 => class_Lattices_Obounded__lattice(tc_fun(T_2,T_1)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(arity_fun__Complete__Lattice_Ocomplete__lattice,axiom,
% 202.84/202.75 ! [T_2,T_1] :
% 202.84/202.75 ( class_Complete__Lattice_Ocomplete__lattice(T_1)
% 202.84/202.75 => class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(arity_fun__Lattices_Obounded__lattice__top,axiom,
% 202.84/202.75 ! [T_2,T_1] :
% 202.84/202.75 ( class_Lattices_Obounded__lattice(T_1)
% 202.84/202.75 => class_Lattices_Obounded__lattice__top(tc_fun(T_2,T_1)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(arity_fun__Lattices_Obounded__lattice__bot,axiom,
% 202.84/202.75 ! [T_2,T_1] :
% 202.84/202.75 ( class_Lattices_Obounded__lattice(T_1)
% 202.84/202.75 => class_Lattices_Obounded__lattice__bot(tc_fun(T_2,T_1)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(arity_fun__Lattices_Osemilattice__sup,axiom,
% 202.84/202.75 ! [T_2,T_1] :
% 202.84/202.75 ( class_Lattices_Olattice(T_1)
% 202.84/202.75 => class_Lattices_Osemilattice__sup(tc_fun(T_2,T_1)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(arity_fun__Lattices_Osemilattice__inf,axiom,
% 202.84/202.75 ! [T_2,T_1] :
% 202.84/202.75 ( class_Lattices_Olattice(T_1)
% 202.84/202.75 => class_Lattices_Osemilattice__inf(tc_fun(T_2,T_1)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(arity_fun__Lattices_Odistrib__lattice,axiom,
% 202.84/202.75 ! [T_2,T_1] :
% 202.84/202.75 ( class_Lattices_Odistrib__lattice(T_1)
% 202.84/202.75 => class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(arity_fun__Lattices_Oboolean__algebra,axiom,
% 202.84/202.75 ! [T_2,T_1] :
% 202.84/202.75 ( class_Lattices_Oboolean__algebra(T_1)
% 202.84/202.75 => class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(arity_fun__Orderings_Opreorder,axiom,
% 202.84/202.75 ! [T_2,T_1] :
% 202.84/202.75 ( class_Orderings_Opreorder(T_1)
% 202.84/202.75 => class_Orderings_Opreorder(tc_fun(T_2,T_1)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(arity_fun__Finite__Set_Ofinite,axiom,
% 202.84/202.75 ! [T_1,T_2] :
% 202.84/202.75 ( ( class_Finite__Set_Ofinite(T_2)
% 202.84/202.75 & class_Finite__Set_Ofinite(T_1) )
% 202.84/202.75 => class_Finite__Set_Ofinite(tc_fun(T_2,T_1)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(arity_fun__Lattices_Olattice,axiom,
% 202.84/202.75 ! [T_2,T_1] :
% 202.84/202.75 ( class_Lattices_Olattice(T_1)
% 202.84/202.75 => class_Lattices_Olattice(tc_fun(T_2,T_1)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(arity_fun__Orderings_Oorder,axiom,
% 202.84/202.75 ! [T_2,T_1] :
% 202.84/202.75 ( class_Orderings_Oorder(T_1)
% 202.84/202.75 => class_Orderings_Oorder(tc_fun(T_2,T_1)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(arity_fun__Orderings_Otop,axiom,
% 202.84/202.75 ! [T_2,T_1] :
% 202.84/202.75 ( class_Orderings_Otop(T_1)
% 202.84/202.75 => class_Orderings_Otop(tc_fun(T_2,T_1)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(arity_fun__Orderings_Oord,axiom,
% 202.84/202.75 ! [T_2,T_1] :
% 202.84/202.75 ( class_Orderings_Oord(T_1)
% 202.84/202.75 => class_Orderings_Oord(tc_fun(T_2,T_1)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(arity_fun__Orderings_Obot,axiom,
% 202.84/202.75 ! [T_2,T_1] :
% 202.84/202.75 ( class_Orderings_Obot(T_1)
% 202.84/202.75 => class_Orderings_Obot(tc_fun(T_2,T_1)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(arity_fun__Groups_Ouminus,axiom,
% 202.84/202.75 ! [T_2,T_1] :
% 202.84/202.75 ( class_Groups_Ouminus(T_1)
% 202.84/202.75 => class_Groups_Ouminus(tc_fun(T_2,T_1)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(arity_fun__Groups_Ominus,axiom,
% 202.84/202.75 ! [T_2,T_1] :
% 202.84/202.75 ( class_Groups_Ominus(T_1)
% 202.84/202.75 => class_Groups_Ominus(tc_fun(T_2,T_1)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(arity_fun__Enum_Oenum,axiom,
% 202.84/202.75 ! [T_1,T_2] :
% 202.84/202.75 ( ( class_Enum_Oenum(T_2)
% 202.84/202.75 & class_Enum_Oenum(T_1) )
% 202.84/202.75 => class_Enum_Oenum(tc_fun(T_2,T_1)) ) ).
% 202.84/202.75
% 202.84/202.75 fof(arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 202.84/202.75 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) ).
% 202.84/202.75
% 202.84/202.75 fof(arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 202.84/202.75 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) ).
% 202.84/202.75
% 202.84/202.75 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 202.84/202.75 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) ).
% 202.84/202.75
% 202.84/202.75 fof(arity_Int__Oint__Rings_Olinordered__comm__semiring__strict,axiom,
% 202.84/202.75 class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) ).
% 202.84/202.75
% 202.84/202.75 fof(arity_Int__Oint__Rings_Olinordered__semiring__1__strict,axiom,
% 202.84/202.75 class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) ).
% 202.84/202.75
% 202.84/202.75 fof(arity_Int__Oint__Groups_Olinordered__ab__semigroup__add,axiom,
% 202.84/202.75 class_Groups_Olinordered__ab__semigroup__add(tc_Int_Oint) ).
% 202.84/202.75
% 202.84/202.75 fof(arity_Int__Oint__Rings_Olinordered__semiring__strict,axiom,
% 202.84/202.75 class_Rings_Olinordered__semiring__strict(tc_Int_Oint) ).
% 202.84/202.75
% 202.84/202.75 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add,axiom,
% 202.84/202.75 class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) ).
% 202.84/202.75
% 202.84/202.75 fof(arity_Int__Oint__Groups_Oordered__ab__group__add__abs,axiom,
% 202.84/202.75 class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) ).
% 202.84/202.75
% 202.84/202.75 fof(arity_Int__Oint__Groups_Oordered__comm__monoid__add,axiom,
% 202.84/202.75 class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) ).
% 202.84/202.75
% 202.84/202.75 fof(arity_Int__Oint__Groups_Olinordered__ab__group__add,axiom,
% 202.84/202.75 class_Groups_Olinordered__ab__group__add(tc_Int_Oint) ).
% 202.84/202.75
% 202.84/202.75 fof(arity_Int__Oint__Groups_Ocancel__ab__semigroup__add,axiom,
% 202.84/202.75 class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) ).
% 202.84/202.75
% 202.84/202.75 fof(arity_Int__Oint__Rings_Oring__1__no__zero__divisors,axiom,
% 202.84/202.75 class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) ).
% 202.84/202.75
% 202.84/202.75 fof(arity_Int__Oint__Rings_Oordered__cancel__semiring,axiom,
% 202.84/202.75 class_Rings_Oordered__cancel__semiring(tc_Int_Oint) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Int__Oint__Rings_Olinordered__ring__strict,axiom,
% 202.84/202.76 class_Rings_Olinordered__ring__strict(tc_Int_Oint) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Int__Oint__Rings_Oring__no__zero__divisors,axiom,
% 202.84/202.76 class_Rings_Oring__no__zero__divisors(tc_Int_Oint) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Int__Oint__Rings_Oordered__comm__semiring,axiom,
% 202.84/202.76 class_Rings_Oordered__comm__semiring(tc_Int_Oint) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Int__Oint__Rings_Olinordered__semiring__1,axiom,
% 202.84/202.76 class_Rings_Olinordered__semiring__1(tc_Int_Oint) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Int__Oint__Groups_Oordered__ab__group__add,axiom,
% 202.84/202.76 class_Groups_Oordered__ab__group__add(tc_Int_Oint) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Int__Oint__Groups_Ocancel__semigroup__add,axiom,
% 202.84/202.76 class_Groups_Ocancel__semigroup__add(tc_Int_Oint) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Int__Oint__Rings_Olinordered__semiring,axiom,
% 202.84/202.76 class_Rings_Olinordered__semiring(tc_Int_Oint) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Int__Oint__Rings_Olinordered__semidom,axiom,
% 202.84/202.76 class_Rings_Olinordered__semidom(tc_Int_Oint) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Int__Oint__Lazy__Sequence_Osmall__lazy,axiom,
% 202.84/202.76 class_Lazy__Sequence_Osmall__lazy(tc_Int_Oint) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Int__Oint__Lattices_Osemilattice__sup,axiom,
% 202.84/202.76 class_Lattices_Osemilattice__sup(tc_Int_Oint) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Int__Oint__Lattices_Osemilattice__inf,axiom,
% 202.84/202.76 class_Lattices_Osemilattice__inf(tc_Int_Oint) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Int__Oint__Lattices_Odistrib__lattice,axiom,
% 202.84/202.76 class_Lattices_Odistrib__lattice(tc_Int_Oint) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Int__Oint__Groups_Oab__semigroup__mult,axiom,
% 202.84/202.76 class_Groups_Oab__semigroup__mult(tc_Int_Oint) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Int__Oint__Groups_Ocomm__monoid__mult,axiom,
% 202.84/202.76 class_Groups_Ocomm__monoid__mult(tc_Int_Oint) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Int__Oint__Groups_Oab__semigroup__add,axiom,
% 202.84/202.76 class_Groups_Oab__semigroup__add(tc_Int_Oint) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Int__Oint__Rings_Oordered__semiring,axiom,
% 202.84/202.76 class_Rings_Oordered__semiring(tc_Int_Oint) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Int__Oint__Rings_Oordered__ring__abs,axiom,
% 202.84/202.76 class_Rings_Oordered__ring__abs(tc_Int_Oint) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Int__Oint__Rings_Ono__zero__divisors,axiom,
% 202.84/202.76 class_Rings_Ono__zero__divisors(tc_Int_Oint) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Int__Oint__Groups_Ocomm__monoid__add,axiom,
% 202.84/202.76 class_Groups_Ocomm__monoid__add(tc_Int_Oint) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Int__Oint__Rings_Olinordered__ring,axiom,
% 202.84/202.76 class_Rings_Olinordered__ring(tc_Int_Oint) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Int__Oint__Rings_Olinordered__idom,axiom,
% 202.84/202.76 class_Rings_Olinordered__idom(tc_Int_Oint) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Int__Oint__Rings_Ocomm__semiring__1,axiom,
% 202.84/202.76 class_Rings_Ocomm__semiring__1(tc_Int_Oint) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Int__Oint__Groups_Osemigroup__add,axiom,
% 202.84/202.76 class_Groups_Osemigroup__add(tc_Int_Oint) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Int__Oint__Divides_Osemiring__div,axiom,
% 202.84/202.76 class_Divides_Osemiring__div(tc_Int_Oint) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Int__Oint__Rings_Ocomm__semiring,axiom,
% 202.84/202.76 class_Rings_Ocomm__semiring(tc_Int_Oint) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Int__Oint__Nat_Osemiring__char__0,axiom,
% 202.84/202.76 class_Nat_Osemiring__char__0(tc_Int_Oint) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Int__Oint__Groups_Oab__group__add,axiom,
% 202.84/202.76 class_Groups_Oab__group__add(tc_Int_Oint) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Int__Oint__Rings_Ozero__neq__one,axiom,
% 202.84/202.76 class_Rings_Ozero__neq__one(tc_Int_Oint) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Int__Oint__Rings_Oordered__ring,axiom,
% 202.84/202.76 class_Rings_Oordered__ring(tc_Int_Oint) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Int__Oint__Orderings_Opreorder,axiom,
% 202.84/202.76 class_Orderings_Opreorder(tc_Int_Oint) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Int__Oint__Orderings_Olinorder,axiom,
% 202.84/202.76 class_Orderings_Olinorder(tc_Int_Oint) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Int__Oint__Groups_Omonoid__mult,axiom,
% 202.84/202.76 class_Groups_Omonoid__mult(tc_Int_Oint) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Int__Oint__Rings_Ocomm__ring__1,axiom,
% 202.84/202.76 class_Rings_Ocomm__ring__1(tc_Int_Oint) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Int__Oint__Groups_Omonoid__add,axiom,
% 202.84/202.76 class_Groups_Omonoid__add(tc_Int_Oint) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Int__Oint__Rings_Osemiring__1,axiom,
% 202.84/202.76 class_Rings_Osemiring__1(tc_Int_Oint) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Int__Oint__Rings_Osemiring__0,axiom,
% 202.84/202.76 class_Rings_Osemiring__0(tc_Int_Oint) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Int__Oint__Lattices_Olattice,axiom,
% 202.84/202.76 class_Lattices_Olattice(tc_Int_Oint) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Int__Oint__Groups_Ogroup__add,axiom,
% 202.84/202.76 class_Groups_Ogroup__add(tc_Int_Oint) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Int__Oint__Divides_Oring__div,axiom,
% 202.84/202.76 class_Divides_Oring__div(tc_Int_Oint) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Int__Oint__Rings_Omult__zero,axiom,
% 202.84/202.76 class_Rings_Omult__zero(tc_Int_Oint) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Int__Oint__Rings_Ocomm__ring,axiom,
% 202.84/202.76 class_Rings_Ocomm__ring(tc_Int_Oint) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Int__Oint__Orderings_Oorder,axiom,
% 202.84/202.76 class_Orderings_Oorder(tc_Int_Oint) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Int__Oint__Int_Oring__char__0,axiom,
% 202.84/202.76 class_Int_Oring__char__0(tc_Int_Oint) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Int__Oint__Int_Onumber__ring,axiom,
% 202.84/202.76 class_Int_Onumber__ring(tc_Int_Oint) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Int__Oint__Rings_Osemiring,axiom,
% 202.84/202.76 class_Rings_Osemiring(tc_Int_Oint) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Int__Oint__Orderings_Oord,axiom,
% 202.84/202.76 class_Orderings_Oord(tc_Int_Oint) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Int__Oint__Groups_Ouminus,axiom,
% 202.84/202.76 class_Groups_Ouminus(tc_Int_Oint) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Int__Oint__Groups_Osgn__if,axiom,
% 202.84/202.76 class_Groups_Osgn__if(tc_Int_Oint) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Int__Oint__Groups_Oabs__if,axiom,
% 202.84/202.76 class_Groups_Oabs__if(tc_Int_Oint) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Int__Oint__Rings_Oring__1,axiom,
% 202.84/202.76 class_Rings_Oring__1(tc_Int_Oint) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Int__Oint__Groups_Ominus,axiom,
% 202.84/202.76 class_Groups_Ominus(tc_Int_Oint) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Int__Oint__Power_Opower,axiom,
% 202.84/202.76 class_Power_Opower(tc_Int_Oint) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Int__Oint__Groups_Ozero,axiom,
% 202.84/202.76 class_Groups_Ozero(tc_Int_Oint) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Int__Oint__Rings_Oring,axiom,
% 202.84/202.76 class_Rings_Oring(tc_Int_Oint) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Int__Oint__Rings_Oidom,axiom,
% 202.84/202.76 class_Rings_Oidom(tc_Int_Oint) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Int__Oint__Int_Onumber,axiom,
% 202.84/202.76 class_Int_Onumber(tc_Int_Oint) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Int__Oint__Groups_Oone,axiom,
% 202.84/202.76 class_Groups_Oone(tc_Int_Oint) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Int__Oint__Rings_Odvd,axiom,
% 202.84/202.76 class_Rings_Odvd(tc_Int_Oint) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 202.84/202.76 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 202.84/202.76 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 202.84/202.76 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict,axiom,
% 202.84/202.76 class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Nat__Onat__Groups_Olinordered__ab__semigroup__add,axiom,
% 202.84/202.76 class_Groups_Olinordered__ab__semigroup__add(tc_Nat_Onat) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Nat__Onat__Rings_Olinordered__semiring__strict,axiom,
% 202.84/202.76 class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add,axiom,
% 202.84/202.76 class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Nat__Onat__Groups_Oordered__comm__monoid__add,axiom,
% 202.84/202.76 class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add,axiom,
% 202.84/202.76 class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Nat__Onat__Rings_Oordered__cancel__semiring,axiom,
% 202.84/202.76 class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Nat__Onat__Rings_Oordered__comm__semiring,axiom,
% 202.84/202.76 class_Rings_Oordered__comm__semiring(tc_Nat_Onat) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Nat__Onat__Groups_Ocancel__semigroup__add,axiom,
% 202.84/202.76 class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Nat__Onat__Rings_Olinordered__semiring,axiom,
% 202.84/202.76 class_Rings_Olinordered__semiring(tc_Nat_Onat) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Nat__Onat__Rings_Olinordered__semidom,axiom,
% 202.84/202.76 class_Rings_Olinordered__semidom(tc_Nat_Onat) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Nat__Onat__Lattices_Osemilattice__sup,axiom,
% 202.84/202.76 class_Lattices_Osemilattice__sup(tc_Nat_Onat) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Nat__Onat__Lattices_Osemilattice__inf,axiom,
% 202.84/202.76 class_Lattices_Osemilattice__inf(tc_Nat_Onat) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Nat__Onat__Lattices_Odistrib__lattice,axiom,
% 202.84/202.76 class_Lattices_Odistrib__lattice(tc_Nat_Onat) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Nat__Onat__Groups_Oab__semigroup__mult,axiom,
% 202.84/202.76 class_Groups_Oab__semigroup__mult(tc_Nat_Onat) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Nat__Onat__Groups_Ocomm__monoid__mult,axiom,
% 202.84/202.76 class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Nat__Onat__Groups_Oab__semigroup__add,axiom,
% 202.84/202.76 class_Groups_Oab__semigroup__add(tc_Nat_Onat) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Nat__Onat__Rings_Oordered__semiring,axiom,
% 202.84/202.76 class_Rings_Oordered__semiring(tc_Nat_Onat) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Nat__Onat__Rings_Ono__zero__divisors,axiom,
% 202.84/202.76 class_Rings_Ono__zero__divisors(tc_Nat_Onat) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Nat__Onat__Groups_Ocomm__monoid__add,axiom,
% 202.84/202.76 class_Groups_Ocomm__monoid__add(tc_Nat_Onat) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Nat__Onat__Rings_Ocomm__semiring__1,axiom,
% 202.84/202.76 class_Rings_Ocomm__semiring__1(tc_Nat_Onat) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Nat__Onat__Groups_Osemigroup__add,axiom,
% 202.84/202.76 class_Groups_Osemigroup__add(tc_Nat_Onat) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Nat__Onat__Divides_Osemiring__div,axiom,
% 202.84/202.76 class_Divides_Osemiring__div(tc_Nat_Onat) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Nat__Onat__Rings_Ocomm__semiring,axiom,
% 202.84/202.76 class_Rings_Ocomm__semiring(tc_Nat_Onat) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Nat__Onat__Orderings_Owellorder,axiom,
% 202.84/202.76 class_Orderings_Owellorder(tc_Nat_Onat) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Nat__Onat__Nat_Osemiring__char__0,axiom,
% 202.84/202.76 class_Nat_Osemiring__char__0(tc_Nat_Onat) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Nat__Onat__Rings_Ozero__neq__one,axiom,
% 202.84/202.76 class_Rings_Ozero__neq__one(tc_Nat_Onat) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Nat__Onat__Orderings_Opreorder,axiom,
% 202.84/202.76 class_Orderings_Opreorder(tc_Nat_Onat) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Nat__Onat__Orderings_Olinorder,axiom,
% 202.84/202.76 class_Orderings_Olinorder(tc_Nat_Onat) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Nat__Onat__Groups_Omonoid__mult,axiom,
% 202.84/202.76 class_Groups_Omonoid__mult(tc_Nat_Onat) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Nat__Onat__Groups_Omonoid__add,axiom,
% 202.84/202.76 class_Groups_Omonoid__add(tc_Nat_Onat) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Nat__Onat__Rings_Osemiring__1,axiom,
% 202.84/202.76 class_Rings_Osemiring__1(tc_Nat_Onat) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Nat__Onat__Rings_Osemiring__0,axiom,
% 202.84/202.76 class_Rings_Osemiring__0(tc_Nat_Onat) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Nat__Onat__Lattices_Olattice,axiom,
% 202.84/202.76 class_Lattices_Olattice(tc_Nat_Onat) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Nat__Onat__Rings_Omult__zero,axiom,
% 202.84/202.76 class_Rings_Omult__zero(tc_Nat_Onat) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Nat__Onat__Orderings_Oorder,axiom,
% 202.84/202.76 class_Orderings_Oorder(tc_Nat_Onat) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Nat__Onat__Rings_Osemiring,axiom,
% 202.84/202.76 class_Rings_Osemiring(tc_Nat_Onat) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Nat__Onat__Orderings_Oord,axiom,
% 202.84/202.76 class_Orderings_Oord(tc_Nat_Onat) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Nat__Onat__Orderings_Obot,axiom,
% 202.84/202.76 class_Orderings_Obot(tc_Nat_Onat) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Nat__Onat__Groups_Ominus,axiom,
% 202.84/202.76 class_Groups_Ominus(tc_Nat_Onat) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Nat__Onat__Power_Opower,axiom,
% 202.84/202.76 class_Power_Opower(tc_Nat_Onat) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Nat__Onat__Groups_Ozero,axiom,
% 202.84/202.76 class_Groups_Ozero(tc_Nat_Onat) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Nat__Onat__Int_Onumber,axiom,
% 202.84/202.76 class_Int_Onumber(tc_Nat_Onat) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Nat__Onat__Groups_Oone,axiom,
% 202.84/202.76 class_Groups_Oone(tc_Nat_Onat) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Nat__Onat__Rings_Odvd,axiom,
% 202.84/202.76 class_Rings_Odvd(tc_Nat_Onat) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Nat__Onat__Nat_Osize,axiom,
% 202.84/202.76 class_Nat_Osize(tc_Nat_Onat) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_HOL__Obool__Complete__Lattice_Ocomplete__lattice,axiom,
% 202.84/202.76 class_Complete__Lattice_Ocomplete__lattice(tc_HOL_Obool) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_HOL__Obool__Lattices_Obounded__lattice__top,axiom,
% 202.84/202.76 class_Lattices_Obounded__lattice__top(tc_HOL_Obool) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_HOL__Obool__Lattices_Obounded__lattice__bot,axiom,
% 202.84/202.76 class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_HOL__Obool__Lattices_Osemilattice__sup,axiom,
% 202.84/202.76 class_Lattices_Osemilattice__sup(tc_HOL_Obool) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_HOL__Obool__Lattices_Osemilattice__inf,axiom,
% 202.84/202.76 class_Lattices_Osemilattice__inf(tc_HOL_Obool) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_HOL__Obool__Lattices_Odistrib__lattice,axiom,
% 202.84/202.76 class_Lattices_Odistrib__lattice(tc_HOL_Obool) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_HOL__Obool__Lattices_Oboolean__algebra,axiom,
% 202.84/202.76 class_Lattices_Oboolean__algebra(tc_HOL_Obool) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_HOL__Obool__Orderings_Opreorder,axiom,
% 202.84/202.76 class_Orderings_Opreorder(tc_HOL_Obool) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_HOL__Obool__Finite__Set_Ofinite,axiom,
% 202.84/202.76 class_Finite__Set_Ofinite(tc_HOL_Obool) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_HOL__Obool__Lattices_Olattice,axiom,
% 202.84/202.76 class_Lattices_Olattice(tc_HOL_Obool) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_HOL__Obool__Orderings_Oorder,axiom,
% 202.84/202.76 class_Orderings_Oorder(tc_HOL_Obool) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_HOL__Obool__Orderings_Otop,axiom,
% 202.84/202.76 class_Orderings_Otop(tc_HOL_Obool) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_HOL__Obool__Orderings_Oord,axiom,
% 202.84/202.76 class_Orderings_Oord(tc_HOL_Obool) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_HOL__Obool__Orderings_Obot,axiom,
% 202.84/202.76 class_Orderings_Obot(tc_HOL_Obool) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_HOL__Obool__Groups_Ouminus,axiom,
% 202.84/202.76 class_Groups_Ouminus(tc_HOL_Obool) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_HOL__Obool__Groups_Ominus,axiom,
% 202.84/202.76 class_Groups_Ominus(tc_HOL_Obool) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_HOL__Obool__Enum_Oenum,axiom,
% 202.84/202.76 class_Enum_Oenum(tc_HOL_Obool) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_HOL__Obool__Nat_Osize,axiom,
% 202.84/202.76 class_Nat_Osize(tc_HOL_Obool) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_List__Olist__Lazy__Sequence_Osmall__lazy,axiom,
% 202.84/202.76 ! [T_1] :
% 202.84/202.76 ( class_Lazy__Sequence_Osmall__lazy(T_1)
% 202.84/202.76 => class_Lazy__Sequence_Osmall__lazy(tc_List_Olist(T_1)) ) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_List__Olist__Nat_Osize,axiom,
% 202.84/202.76 ! [T_1] : class_Nat_Osize(tc_List_Olist(T_1)) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_sum__Finite__Set_Ofinite,axiom,
% 202.84/202.76 ! [T_1,T_2] :
% 202.84/202.76 ( ( class_Finite__Set_Ofinite(T_2)
% 202.84/202.76 & class_Finite__Set_Ofinite(T_1) )
% 202.84/202.76 => class_Finite__Set_Ofinite(tc_sum(T_2,T_1)) ) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_sum__Enum_Oenum,axiom,
% 202.84/202.76 ! [T_1,T_2] :
% 202.84/202.76 ( ( class_Enum_Oenum(T_2)
% 202.84/202.76 & class_Enum_Oenum(T_1) )
% 202.84/202.76 => class_Enum_Oenum(tc_sum(T_2,T_1)) ) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_sum__Nat_Osize,axiom,
% 202.84/202.76 ! [T_1,T_2] : class_Nat_Osize(tc_sum(T_2,T_1)) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Option__Ooption__Finite__Set_Ofinite,axiom,
% 202.84/202.76 ! [T_1] :
% 202.84/202.76 ( class_Finite__Set_Ofinite(T_1)
% 202.84/202.76 => class_Finite__Set_Ofinite(tc_Option_Ooption(T_1)) ) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Option__Ooption__Enum_Oenum,axiom,
% 202.84/202.76 ! [T_1] :
% 202.84/202.76 ( class_Enum_Oenum(T_1)
% 202.84/202.76 => class_Enum_Oenum(tc_Option_Ooption(T_1)) ) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Option__Ooption__Nat_Osize,axiom,
% 202.84/202.76 ! [T_1] : class_Nat_Osize(tc_Option_Ooption(T_1)) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Nitpick__Opair____box__Nat_Osize,axiom,
% 202.84/202.76 ! [T_1,T_2] : class_Nat_Osize(tc_Nitpick_Opair__box(T_2,T_1)) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_prod__Lazy__Sequence_Osmall__lazy,axiom,
% 202.84/202.76 ! [T_1,T_2] :
% 202.84/202.76 ( ( class_Lazy__Sequence_Osmall__lazy(T_2)
% 202.84/202.76 & class_Lazy__Sequence_Osmall__lazy(T_1) )
% 202.84/202.76 => class_Lazy__Sequence_Osmall__lazy(tc_prod(T_2,T_1)) ) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_prod__Finite__Set_Ofinite,axiom,
% 202.84/202.76 ! [T_1,T_2] :
% 202.84/202.76 ( ( class_Finite__Set_Ofinite(T_2)
% 202.84/202.76 & class_Finite__Set_Ofinite(T_1) )
% 202.84/202.76 => class_Finite__Set_Ofinite(tc_prod(T_2,T_1)) ) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_prod__Enum_Oenum,axiom,
% 202.84/202.76 ! [T_1,T_2] :
% 202.84/202.76 ( ( class_Enum_Oenum(T_2)
% 202.84/202.76 & class_Enum_Oenum(T_1) )
% 202.84/202.76 => class_Enum_Oenum(tc_prod(T_2,T_1)) ) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_prod__Nat_Osize,axiom,
% 202.84/202.76 ! [T_1,T_2] : class_Nat_Osize(tc_prod(T_2,T_1)) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Product____Type__Ounit__Lazy__Sequence_Osmall__lazy,axiom,
% 202.84/202.76 class_Lazy__Sequence_Osmall__lazy(tc_Product__Type_Ounit) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Product____Type__Ounit__Finite__Set_Ofinite,axiom,
% 202.84/202.76 class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Product____Type__Ounit__Enum_Oenum,axiom,
% 202.84/202.76 class_Enum_Oenum(tc_Product__Type_Ounit) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Product____Type__Ounit__Nat_Osize,axiom,
% 202.84/202.76 class_Nat_Osize(tc_Product__Type_Ounit) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Code____Evaluation__Oterm__Nat_Osize,axiom,
% 202.84/202.76 class_Nat_Osize(tc_Code__Evaluation_Oterm) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Hoare____Mirabelle__Otriple__Nat_Osize,axiom,
% 202.84/202.76 ! [T_1] : class_Nat_Osize(tc_Hoare__Mirabelle_Otriple(T_1)) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 202.84/202.76 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 202.84/202.76 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Code__Numeral_Ocode__numeral) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__comm__semiring__strict,axiom,
% 202.84/202.76 class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Code____Numeral__Ocode____numeral__Groups_Olinordered__ab__semigroup__add,axiom,
% 202.84/202.76 class_Groups_Olinordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring__strict,axiom,
% 202.84/202.76 class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add,axiom,
% 202.84/202.76 class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__comm__monoid__add,axiom,
% 202.84/202.76 class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__ab__semigroup__add,axiom,
% 202.84/202.76 class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__cancel__semiring,axiom,
% 202.84/202.76 class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__comm__semiring,axiom,
% 202.84/202.76 class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__semigroup__add,axiom,
% 202.84/202.76 class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring,axiom,
% 202.84/202.76 class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semidom,axiom,
% 202.84/202.76 class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__mult,axiom,
% 202.84/202.76 class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__mult,axiom,
% 202.84/202.76 class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__add,axiom,
% 202.84/202.76 class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__semiring,axiom,
% 202.84/202.76 class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ono__zero__divisors,axiom,
% 202.84/202.76 class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__add,axiom,
% 202.84/202.76 class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring__1,axiom,
% 202.84/202.76 class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Code____Numeral__Ocode____numeral__Groups_Osemigroup__add,axiom,
% 202.84/202.76 class_Groups_Osemigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Code____Numeral__Ocode____numeral__Divides_Osemiring__div,axiom,
% 202.84/202.76 class_Divides_Osemiring__div(tc_Code__Numeral_Ocode__numeral) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring,axiom,
% 202.84/202.76 class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osemiring__char__0,axiom,
% 202.84/202.76 class_Nat_Osemiring__char__0(tc_Code__Numeral_Ocode__numeral) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ozero__neq__one,axiom,
% 202.84/202.76 class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Opreorder,axiom,
% 202.84/202.76 class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Olinorder,axiom,
% 202.84/202.76 class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__mult,axiom,
% 202.84/202.76 class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__add,axiom,
% 202.84/202.76 class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__1,axiom,
% 202.84/202.76 class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__0,axiom,
% 202.84/202.76 class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Code____Numeral__Ocode____numeral__Rings_Omult__zero,axiom,
% 202.84/202.76 class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oorder,axiom,
% 202.84/202.76 class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring,axiom,
% 202.84/202.76 class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oord,axiom,
% 202.84/202.76 class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ominus,axiom,
% 202.84/202.76 class_Groups_Ominus(tc_Code__Numeral_Ocode__numeral) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Code____Numeral__Ocode____numeral__Power_Opower,axiom,
% 202.84/202.76 class_Power_Opower(tc_Code__Numeral_Ocode__numeral) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ozero,axiom,
% 202.84/202.76 class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Code____Numeral__Ocode____numeral__Int_Onumber,axiom,
% 202.84/202.76 class_Int_Onumber(tc_Code__Numeral_Ocode__numeral) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oone,axiom,
% 202.84/202.76 class_Groups_Oone(tc_Code__Numeral_Ocode__numeral) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Code____Numeral__Ocode____numeral__Rings_Odvd,axiom,
% 202.84/202.76 class_Rings_Odvd(tc_Code__Numeral_Ocode__numeral) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osize,axiom,
% 202.84/202.76 class_Nat_Osize(tc_Code__Numeral_Ocode__numeral) ).
% 202.84/202.76
% 202.84/202.76 fof(arity_Lazy____Sequence__Olazy____sequence__Nat_Osize,axiom,
% 202.84/202.76 ! [T_1] : class_Nat_Osize(tc_Lazy__Sequence_Olazy__sequence(T_1)) ).
% 202.84/202.76
% 202.84/202.76 %----Helper facts (20)
% 202.84/202.76 fof(help_c__COMBI__1,axiom,
% 202.84/202.76 ! [V_P,T_a] : hAPP(c_COMBI(T_a),V_P) = V_P ).
% 202.84/202.76
% 202.84/202.76 fof(help_c__COMBK__1,axiom,
% 202.84/202.76 ! [V_Q,V_P,T_b,T_a] : hAPP(hAPP(c_COMBK(T_a,T_b),V_P),V_Q) = V_P ).
% 202.84/202.76
% 202.84/202.76 fof(help_c__COMBB__1,axiom,
% 202.84/202.76 ! [V_R_2,V_Q_2,V_P_2,T_d,T_b,T_c] : hAPP(hAPP(hAPP(c_COMBB(T_c,T_b,T_d),V_P_2),V_Q_2),V_R_2) = hAPP(V_P_2,hAPP(V_Q_2,V_R_2)) ).
% 202.84/202.76
% 202.84/202.76 fof(help_c__COMBC__1,axiom,
% 202.84/202.76 ! [V_R_2,V_Q_2,V_P_2,T_b,T_d,T_c] : hAPP(hAPP(hAPP(c_COMBC(T_c,T_d,T_b),V_P_2),V_Q_2),V_R_2) = hAPP(hAPP(V_P_2,V_R_2),V_Q_2) ).
% 202.84/202.76
% 202.84/202.76 fof(help_c__COMBS__1,axiom,
% 202.84/202.76 ! [V_R_2,V_Q_2,V_P_2,T_b,T_d,T_c] : hAPP(hAPP(hAPP(c_COMBS(T_c,T_d,T_b),V_P_2),V_Q_2),V_R_2) = hAPP(hAPP(V_P_2,V_R_2),hAPP(V_Q_2,V_R_2)) ).
% 202.84/202.76
% 202.84/202.76 fof(help_c__fequal__1,axiom,
% 202.84/202.76 ! [V_y_2,V_x_2] :
% 202.84/202.76 ( ~ hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2))
% 202.84/202.76 | V_x_2 = V_y_2 ) ).
% 202.84/202.76
% 202.84/202.76 fof(help_c__fequal__2,axiom,
% 202.84/202.76 ! [V_y_2,V_x_2] :
% 202.84/202.76 ( V_x_2 != V_y_2
% 202.84/202.76 | hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2)) ) ).
% 202.84/202.76
% 202.84/202.76 fof(help_c__fFalse__1,axiom,
% 202.84/202.76 ~ hBOOL(c_fFalse) ).
% 202.84/202.76
% 202.84/202.76 fof(help_c__fTrue__1,axiom,
% 202.84/202.76 hBOOL(c_fTrue) ).
% 202.84/202.76
% 202.84/202.76 fof(help_c__fNot__1,axiom,
% 202.84/202.76 ! [V_P_2] :
% 202.84/202.76 ( ~ hBOOL(hAPP(c_fNot,V_P_2))
% 202.84/202.76 | ~ hBOOL(V_P_2) ) ).
% 202.84/202.76
% 202.84/202.76 fof(help_c__fNot__2,axiom,
% 202.84/202.76 ! [V_P_2] :
% 202.84/202.76 ( ~ ~ hBOOL(V_P_2)
% 202.84/202.76 | hBOOL(hAPP(c_fNot,V_P_2)) ) ).
% 202.84/202.76
% 202.84/202.76 fof(help_c__fconj__1,axiom,
% 202.84/202.76 ! [V_Q_2,V_P_2] :
% 202.84/202.76 ( ~ hBOOL(V_P_2)
% 202.84/202.76 | ~ hBOOL(V_Q_2)
% 202.84/202.76 | hBOOL(hAPP(hAPP(c_fconj,V_P_2),V_Q_2)) ) ).
% 202.84/202.76
% 202.84/202.76 fof(help_c__fconj__2,axiom,
% 202.84/202.76 ! [V_Q_2,V_P_2] :
% 202.84/202.76 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_P_2),V_Q_2))
% 202.84/202.76 | hBOOL(V_P_2) ) ).
% 202.84/202.76
% 202.84/202.76 fof(help_c__fconj__3,axiom,
% 202.84/202.76 ! [V_Q_2,V_P_2] :
% 202.84/202.76 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_P_2),V_Q_2))
% 202.84/202.76 | hBOOL(V_Q_2) ) ).
% 202.84/202.76
% 202.84/202.76 fof(help_c__fdisj__1,axiom,
% 202.84/202.76 ! [V_Q_2,V_P_2] :
% 202.84/202.76 ( ~ hBOOL(V_P_2)
% 202.84/202.76 | hBOOL(hAPP(hAPP(c_fdisj,V_P_2),V_Q_2)) ) ).
% 202.84/202.76
% 202.84/202.76 fof(help_c__fdisj__2,axiom,
% 202.84/202.76 ! [V_P_2,V_Q_2] :
% 202.84/202.76 ( ~ hBOOL(V_Q_2)
% 202.84/202.76 | hBOOL(hAPP(hAPP(c_fdisj,V_P_2),V_Q_2)) ) ).
% 202.84/202.76
% 202.84/202.76 fof(help_c__fdisj__3,axiom,
% 202.84/202.76 ! [V_Q_2,V_P_2] :
% 202.84/202.76 ( ~ hBOOL(hAPP(hAPP(c_fdisj,V_P_2),V_Q_2))
% 202.84/202.76 | hBOOL(V_P_2)
% 202.84/202.76 | hBOOL(V_Q_2) ) ).
% 202.84/202.76
% 202.84/202.76 fof(help_c__fimplies__1,axiom,
% 202.84/202.76 ! [V_Q_2,V_P_2] :
% 202.84/202.76 ( hBOOL(V_P_2)
% 202.84/202.76 | hBOOL(hAPP(hAPP(c_fimplies,V_P_2),V_Q_2)) ) ).
% 202.84/202.76
% 202.84/202.76 fof(help_c__fimplies__2,axiom,
% 202.84/202.76 ! [V_P_2,V_Q_2] :
% 202.84/202.76 ( ~ hBOOL(V_Q_2)
% 202.84/202.76 | hBOOL(hAPP(hAPP(c_fimplies,V_P_2),V_Q_2)) ) ).
% 202.84/202.76
% 202.84/202.76 fof(help_c__fimplies__3,axiom,
% 202.84/202.76 ! [V_Q_2,V_P_2] :
% 202.84/202.76 ( ~ hBOOL(hAPP(hAPP(c_fimplies,V_P_2),V_Q_2))
% 202.84/202.76 | ~ hBOOL(V_P_2)
% 202.84/202.76 | hBOOL(V_Q_2) ) ).
% 202.84/202.76
% 202.84/202.76 %----Conjectures (4)
% 202.84/202.76 fof(conj_0,hypothesis,
% 202.84/202.76 c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,v_ts_H) ).
% 202.84/202.76
% 202.84/202.76 fof(conj_1,hypothesis,
% 202.84/202.76 ! [B_n] :
% 202.84/202.76 ( ! [B_x] :
% 202.84/202.76 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),B_x),v_G))
% 202.84/202.76 => c_Hoare__Mirabelle_Otriple__valid(t_a,B_n,B_x) )
% 202.84/202.76 => ! [B_x] :
% 202.84/202.76 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),B_x),v_ts_H))
% 202.84/202.76 => c_Hoare__Mirabelle_Otriple__valid(t_a,B_n,B_x) ) ) ).
% 202.84/202.76
% 202.84/202.76 fof(conj_2,hypothesis,
% 202.84/202.76 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_ts),v_ts_H)) ).
% 202.84/202.76
% 202.84/202.76 fof(conj_3,conjecture,
% 202.84/202.76 ! [B_n] :
% 202.84/202.76 ( ! [B_x] :
% 202.84/202.76 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),B_x),v_G))
% 202.84/202.76 => c_Hoare__Mirabelle_Otriple__valid(t_a,B_n,B_x) )
% 202.84/202.76 => ! [B_x] :
% 202.84/202.76 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),B_x),v_ts))
% 202.84/202.76 => c_Hoare__Mirabelle_Otriple__valid(t_a,B_n,B_x) ) ) ).
% 202.84/202.76
% 202.84/202.76 %------------------------------------------------------------------------------
% 202.84/202.76 %-------------------------------------------
% 202.84/202.76 % Proof found
% 202.84/202.76 % SZS status Theorem for theBenchmark
% 202.84/202.76 % SZS output start Proof
% 202.84/202.76 %ClaNum:10480(EqnAxiom:3121)
% 202.84/202.76 %VarNum:71556(SingletonVarNum:20559)
% 202.84/202.76 %MaxLitNum:8
% 202.84/202.76 %MaxfuncDepth:13
% 202.84/202.76 %SharedTerms:1000
% 202.84/202.76 %goalClause: 3562 4673 5749
% 202.84/202.76 %singleGoalClaCount:2
% 202.84/202.76 [3125]P1(a178)
% 202.84/202.76 [3126]P2(a918)
% 202.84/202.76 [3127]P2(a920)
% 202.84/202.76 [3128]P2(a1)
% 202.84/202.76 [3129]P2(a90)
% 202.84/202.76 [3130]P3(a918)
% 202.84/202.76 [3131]P3(a920)
% 202.84/202.76 [3132]P3(a1)
% 202.84/202.76 [3133]P3(a90)
% 202.84/202.76 [3134]P4(a920)
% 202.84/202.76 [3135]P4(a1)
% 202.84/202.76 [3136]P4(a90)
% 202.84/202.76 [3137]P113(a918)
% 202.84/202.76 [3138]P113(a920)
% 202.84/202.76 [3139]P113(a1)
% 202.84/202.76 [3140]P113(a90)
% 202.84/202.76 [3141]P5(a918)
% 202.84/202.76 [3142]P114(a918)
% 202.84/202.76 [3143]P64(a918)
% 202.84/202.76 [3144]P64(a920)
% 202.84/202.76 [3145]P115(a920)
% 202.84/202.76 [3146]P115(a1)
% 202.84/202.76 [3147]P115(a90)
% 202.84/202.76 [3148]P65(a918)
% 202.84/202.76 [3149]P103(a918)
% 202.84/202.76 [3150]P103(a920)
% 202.84/202.76 [3151]P103(a1)
% 202.84/202.76 [3152]P109(a918)
% 202.84/202.76 [3153]P109(a920)
% 202.84/202.76 [3154]P109(a1)
% 202.84/202.76 [3155]P104(a918)
% 202.84/202.76 [3156]P104(a920)
% 202.84/202.76 [3157]P104(a1)
% 202.84/202.76 [3158]P105(a918)
% 202.84/202.76 [3159]P107(a918)
% 202.84/202.76 [3160]P107(a920)
% 202.84/202.76 [3161]P107(a1)
% 202.84/202.76 [3162]P108(a918)
% 202.84/202.76 [3163]P66(a918)
% 202.84/202.76 [3164]P66(a1)
% 202.84/202.76 [3165]P67(a1)
% 202.84/202.76 [3166]P68(a1)
% 202.84/202.76 [3167]P85(a918)
% 202.84/202.76 [3168]P85(a920)
% 202.84/202.76 [3169]P85(a1)
% 202.84/202.76 [3170]P85(a90)
% 202.84/202.76 [3171]P69(a1)
% 202.84/202.76 [3172]P98(a920)
% 202.84/202.76 [3173]P98(a1)
% 202.84/202.76 [3174]P98(a90)
% 202.84/202.76 [3175]P86(a1)
% 202.84/202.76 [3176]P116(a1)
% 202.84/202.76 [3177]P78(a920)
% 202.84/202.76 [3178]P78(a1)
% 202.84/202.76 [3179]P78(a90)
% 202.84/202.76 [3180]P129(a920)
% 202.84/202.76 [3181]P129(a1)
% 202.84/202.76 [3182]P129(a90)
% 202.84/202.76 [3183]P138(a1)
% 202.84/202.76 [3184]P130(a920)
% 202.84/202.76 [3185]P130(a1)
% 202.84/202.76 [3186]P130(a90)
% 202.84/202.76 [3187]P117(a1)
% 202.84/202.76 [3188]P139(a1)
% 202.84/202.76 [3189]P140(a920)
% 202.84/202.76 [3190]P140(a1)
% 202.84/202.76 [3191]P140(a90)
% 202.84/202.76 [3192]P141(a1)
% 202.84/202.76 [3193]P143(a920)
% 202.84/202.76 [3194]P143(a1)
% 202.84/202.76 [3195]P143(a90)
% 202.84/202.76 [3196]P142(a920)
% 202.84/202.76 [3197]P142(a1)
% 202.84/202.76 [3198]P142(a90)
% 202.84/202.76 [3199]P131(a1)
% 202.84/202.76 [3200]P132(a1)
% 202.84/202.76 [3201]P133(a920)
% 202.84/202.76 [3202]P133(a1)
% 202.84/202.76 [3203]P133(a90)
% 202.84/202.76 [3204]P127(a920)
% 202.84/202.76 [3205]P127(a1)
% 202.84/202.76 [3206]P127(a90)
% 202.84/202.76 [3207]P134(a920)
% 202.84/202.76 [3208]P134(a1)
% 202.84/202.76 [3209]P134(a90)
% 202.84/202.76 [3210]P118(a920)
% 202.84/202.76 [3211]P118(a1)
% 202.84/202.76 [3212]P118(a90)
% 202.84/202.76 [3213]P135(a920)
% 202.84/202.76 [3214]P135(a1)
% 202.84/202.76 [3215]P135(a90)
% 202.84/202.76 [3216]P110(a920)
% 202.84/202.76 [3217]P110(a1)
% 202.84/202.76 [3218]P110(a90)
% 202.84/202.76 [3219]P80(a920)
% 202.84/202.76 [3220]P80(a1)
% 202.84/202.76 [3221]P80(a90)
% 202.84/202.76 [3222]P81(a920)
% 202.84/202.76 [3223]P81(a1)
% 202.84/202.76 [3224]P81(a90)
% 202.84/202.76 [3225]P79(a920)
% 202.84/202.76 [3226]P79(a1)
% 202.84/202.76 [3227]P79(a90)
% 202.84/202.76 [3228]P88(a920)
% 202.84/202.76 [3229]P88(a1)
% 202.84/202.76 [3230]P88(a90)
% 202.84/202.76 [3231]P91(a920)
% 202.84/202.76 [3232]P91(a1)
% 202.84/202.76 [3233]P91(a90)
% 202.84/202.76 [3234]P92(a920)
% 202.84/202.76 [3235]P92(a1)
% 202.84/202.76 [3236]P92(a90)
% 202.84/202.76 [3237]P83(a920)
% 202.84/202.76 [3238]P83(a1)
% 202.84/202.76 [3239]P83(a90)
% 202.84/202.76 [3240]P89(a920)
% 202.84/202.76 [3241]P89(a1)
% 202.84/202.76 [3242]P89(a90)
% 202.84/202.76 [3243]P149(a920)
% 202.84/202.76 [3244]P149(a1)
% 202.84/202.76 [3245]P94(a920)
% 202.84/202.76 [3246]P94(a1)
% 202.84/202.76 [3247]P94(a90)
% 202.84/202.76 [3248]P119(a920)
% 202.84/202.76 [3249]P119(a1)
% 202.84/202.76 [3250]P119(a90)
% 202.84/202.76 [3251]P147(a920)
% 202.84/202.76 [3252]P147(a1)
% 202.84/202.76 [3253]P147(a90)
% 202.84/202.76 [3254]P150(a920)
% 202.84/202.76 [3255]P150(a1)
% 202.84/202.76 [3256]P150(a90)
% 202.84/202.76 [3257]P84(a920)
% 202.84/202.76 [3258]P84(a1)
% 202.84/202.76 [3259]P84(a90)
% 202.84/202.76 [3260]P90(a920)
% 202.84/202.76 [3261]P90(a1)
% 202.84/202.76 [3262]P90(a90)
% 202.84/202.76 [3263]P136(a1)
% 202.84/202.76 [3264]P137(a1)
% 202.84/202.76 [3265]P95(a920)
% 202.84/202.76 [3266]P95(a1)
% 202.84/202.76 [3267]P95(a90)
% 202.84/202.76 [3268]P120(a1)
% 202.84/202.76 [3269]P145(a1)
% 202.84/202.76 [3270]P146(a1)
% 202.84/202.76 [3271]P96(a1)
% 202.84/202.76 [3272]P99(a1)
% 202.84/202.76 [3273]P100(a1)
% 202.84/202.76 [3274]P70(a920)
% 202.84/202.76 [3275]P70(a1)
% 202.84/202.76 [3276]P70(a90)
% 202.84/202.76 [3277]P93(a1)
% 202.84/202.76 [3278]P101(a920)
% 202.84/202.76 [3279]P101(a1)
% 202.84/202.76 [3280]P101(a90)
% 202.84/202.76 [3281]P71(a1)
% 202.84/202.76 [3282]P144(a1)
% 202.84/202.76 [3283]P82(a1)
% 202.84/202.76 [3284]P72(a918)
% 202.84/202.76 [3285]P72(a923)
% 202.84/202.76 [3286]P121(a920)
% 202.84/202.76 [3287]P121(a1)
% 202.84/202.76 [3288]P121(a90)
% 202.84/202.76 [3289]P148(a920)
% 202.84/202.76 [3290]P148(a1)
% 202.84/202.76 [3291]P148(a90)
% 202.84/202.76 [3292]P122(a920)
% 202.84/202.76 [3293]P87(a920)
% 202.84/202.76 [3294]P87(a1)
% 202.84/202.76 [3295]P87(a90)
% 202.84/202.76 [3296]P97(a920)
% 202.84/202.76 [3297]P97(a1)
% 202.84/202.76 [3298]P97(a90)
% 202.84/202.76 [3299]P73(a918)
% 202.84/202.76 [3300]P73(a923)
% 202.84/202.76 [3301]P112(a918)
% 202.84/202.76 [3302]P112(a920)
% 202.84/202.76 [3303]P112(a923)
% 202.84/202.76 [3304]P112(a90)
% 202.84/202.76 [3305]P112(a314)
% 202.84/202.76 [3306]P111(a1)
% 202.84/202.76 [3307]P111(a923)
% 202.84/202.76 [3308]P123(a1)
% 202.84/202.76 [3309]P124(a920)
% 202.84/202.76 [3310]P124(a1)
% 202.84/202.76 [3311]P124(a90)
% 202.84/202.76 [3312]P106(a918)
% 202.84/202.76 [3327]P39(a920,a231)
% 202.84/202.76 [3328]P39(a920,a308)
% 202.84/202.76 [3329]P40(a920,a231)
% 202.84/202.76 [3409]P14(a917,a929,a930)
% 202.84/202.76 [3410]P42(a920,a920,a103)
% 202.84/202.76 [4657]~E(a88,a76)
% 202.84/202.76 [4658]~P1(a230)
% 202.84/202.76 [4673]~P28(a917,a823,a822)
% 202.84/202.76 [3122]E(f2(a1),a76)
% 202.84/202.76 [3123]E(f3(a90),a4)
% 202.84/202.76 [3124]E(f91(a90),a5)
% 202.84/202.76 [3313]E(f179(a920),f2(a920))
% 202.84/202.76 [3314]E(f92(a920),f223(a920))
% 202.84/202.76 [3315]E(f101(a920),f224(a920))
% 202.84/202.76 [3316]E(f93(a1),f25(a1))
% 202.84/202.76 [3317]E(f77(a230),f2(a920))
% 202.84/202.76 [3318]E(f77(a178),f2(a920))
% 202.84/202.76 [3319]P6(f2(a1))
% 202.84/202.76 [3320]P6(f71(a1))
% 202.84/202.76 [3375]P39(f926(a920,a920),a26)
% 202.84/202.76 [3720]E(f311(a920,a920,a231,a231),a26)
% 202.84/202.76 [4659]~E(f71(a1),f2(a1))
% 202.84/202.76 [3321]E(f6(f2(a90)),f2(a920))
% 202.84/202.76 [3322]E(f102(f2(a920)),f2(a920))
% 202.84/202.76 [3331]E(f318(f72(a1),a76),a76)
% 202.84/202.76 [3335]E(f318(a5,f2(a920)),f2(a90))
% 202.84/202.76 [3336]E(f318(a103,f2(a920)),f71(a920))
% 202.84/202.76 [3337]E(f318(a95,f71(a1)),f71(a920))
% 202.84/202.76 [3338]E(f318(a5,f71(a920)),f71(a90))
% 202.84/202.76 [3340]E(f318(f94(a1),a76),f2(a1))
% 202.84/202.76 [3341]E(f318(f94(a90),a76),f2(a90))
% 202.84/202.76 [3342]E(f318(a95,f2(a1)),f2(a920))
% 202.84/202.76 [3343]E(f318(f94(a920),a76),f2(a920))
% 202.84/202.76 [3344]E(f318(f180(a918),a230),f2(a920))
% 202.84/202.76 [3345]E(f318(f180(a918),a178),f2(a920))
% 202.84/202.76 [3351]E(f318(f72(a1),f71(a1)),a88)
% 202.84/202.76 [3358]E(f318(f72(a1),f2(a1)),f2(a1))
% 202.84/202.76 [3359]E(f318(f91(a1),f2(a920)),f2(a1))
% 202.84/202.76 [3360]E(f318(f91(a1),f71(a920)),f71(a1))
% 202.84/202.76 [3362]E(f318(f180(a90),f2(a90)),f2(a920))
% 202.84/202.76 [3372]E(f318(a95,f71(a1)),f318(a103,f2(a920)))
% 202.84/202.76 [3373]E(f309(f926(a920,a920),a26),a27)
% 202.84/202.76 [3374]E(f310(f926(a920,a920),a26),a28)
% 202.84/202.76 [3401]E(f318(f273(a920),f2(a920)),f179(f927(a920,a918)))
% 202.84/202.76 [3402]E(f318(f274(a920),f2(a920)),f233(f927(a920,a918)))
% 202.84/202.76 [3412]P43(f179(f927(a1,a918)))
% 202.84/202.76 [3446]E(f318(f318(f3(a90),f2(a90)),f71(a90)),f2(a90))
% 202.84/202.76 [3521]P1(f318(f318(f226(a1),a88),f2(a1)))
% 202.84/202.76 [3546]P1(f318(f318(f225(a1),f2(a1)),f71(a1)))
% 202.84/202.76 [3547]P1(f318(f318(f226(a1),f2(a1)),f71(a1)))
% 202.84/202.76 [3751]E(f318(f318(f280(a920,a920,a920),a308),f298(a920,a308)),a231)
% 202.84/202.76 [3788]P44(a1,a920,a95,f318(f225(a1),f2(a1)))
% 202.84/202.76 [3792]E(f318(f318(f33(a920,f927(a920,a918)),f233(f927(a920,a918))),f273(a920)),f233(f927(a920,a918)))
% 202.84/202.76 [3793]E(f318(f318(f33(a920,f927(a920,a918)),f233(f927(a920,a918))),f274(a920)),f233(f927(a920,a918)))
% 202.84/202.76 [3794]E(f318(f318(f33(a920,f927(a920,a918)),f233(f927(a920,a918))),f292(a920)),f233(f927(a920,a918)))
% 202.84/202.76 [3795]E(f318(f318(f34(a920,f927(a920,a918)),f233(f927(a920,a918))),f295(a920)),f179(f927(a920,a918)))
% 202.84/202.76 [3810]P25(a920,a1,f91(a1),f233(f927(a920,a918)))
% 202.84/202.76 [3824]P44(a920,a1,f91(a1),f318(f18(a918,a920),a178))
% 202.84/202.76 [3960]E(f318(f66(a920,a90,a1,a5),a95),f94(a90))
% 202.84/202.76 [4179]P60(a90,a920,a22,a5,f233(f927(a920,a918)))
% 202.84/202.76 [4183]P60(a1,f927(f926(a920,a920),a918),a97,a82,a89)
% 202.84/202.76 [4437]E(f249(a1,a1,a1,a1,f25(a1),f72(a1)),a45)
% 202.84/202.76 [4668]~E(f318(f94(a1),a88),f318(f94(a1),a76))
% 202.84/202.76 [4669]~P1(f318(a184,f2(a1)))
% 202.84/202.76 [4670]~P1(f318(a184,f71(a1)))
% 202.84/202.76 [4696]~P1(f318(f318(f226(a1),a76),f2(a1)))
% 202.84/202.76 [3393]E(f318(f318(f3(a1),a88),a88),a76)
% 202.84/202.76 [3408]E(f318(f91(a1),f318(a103,f2(a920))),f71(a1))
% 202.84/202.76 [3475]E(f318(f29(a923),f233(f927(a923,a918))),f71(a920))
% 202.84/202.76 [3495]P1(f318(a184,f318(f94(a1),a88)))
% 202.84/202.76 [3497]P1(f318(f318(f225(a1),a88),a76))
% 202.84/202.76 [3499]P1(f318(f318(f226(a1),a88),a76))
% 202.84/202.76 [3555]E(f318(f318(f300(a920),f2(a920)),f179(f927(a920,a918))),f318(f292(a920),f2(a920)))
% 202.84/202.76 [3611]P1(f318(f318(f225(a1),f2(a1)),f318(f94(a1),a76)))
% 202.84/202.76 [3623]E(f318(f301(a920,a920,a103),f233(f927(a920,a918))),f318(f295(a920),f2(a920)))
% 202.84/202.76 [3658]P8(f926(a920,a920),f233(f927(f926(a920,a920),a918)),a99)
% 202.84/202.76 [3967]E(f318(f66(a920,a1,a90,f91(a1)),a22),a24)
% 202.84/202.76 [4026]P39(a920,f318(f253(f926(a920,a920)),f318(f248(a920,a920,a918),f226(a920))))
% 202.84/202.76 [4687]~P1(f318(a184,f318(f94(a1),a76)))
% 202.84/202.76 [4688]~P1(f318(f318(f225(a1),a76),a88))
% 202.84/202.76 [4689]~P1(f318(f318(f226(a1),a88),a88))
% 202.84/202.76 [4690]~P1(f318(f318(f226(a1),a76),a88))
% 202.84/202.76 [4691]~P1(f318(f318(f226(a1),a76),a76))
% 202.84/202.76 [4700]~P1(f318(f55(a920),f233(f927(a920,a918))))
% 202.84/202.76 [4701]~P1(f318(f55(a1),f233(f927(a1,a918))))
% 202.84/202.76 [3562]P1(f318(f318(f320(f919(a917)),a822),a931))
% 202.84/202.76 [4603]E(f318(f248(a1,a1,a918),f318(f318(f10(f927(a1,a918),f927(a1,a918),a1),f318(f20(a1,a918,a918),f318(f318(f10(a918,f927(a918,a918),a1),a316),f318(f226(a1),f2(a1))))),f318(f318(f9(a1,a1,f927(a1,a918)),f318(f318(f10(f927(a1,f927(a1,a918)),f927(a1,f927(a1,a918)),a1),f9(a1,a1,a918)),f318(f318(f10(f927(a1,a1),f927(a1,f927(a1,a918)),a1),f318(f10(a1,f927(a1,a918),a1),a315)),a208))),f71(a1)))),a204)
% 202.84/202.76 [3695]E(f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88),f318(f72(a1),a88))
% 202.84/202.76 [3733]E(f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88),f318(f318(f3(a1),a76),a88))
% 202.84/202.76 [3842]P1(f318(f318(f225(f927(f919(a917),a918)),a931),a930))
% 202.84/202.76 [3894]E(f318(f318(f54(f926(a920,a920)),f233(f927(f926(a920,a920),a918))),a99),a89)
% 202.84/202.76 [3923]E(f318(f94(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f71(a1))
% 202.84/202.76 [3924]E(f318(f94(a90),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f71(a90))
% 202.84/202.76 [3925]E(f318(f94(a920),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f71(a920))
% 202.84/202.76 [3928]E(f318(f94(a920),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(a103,f2(a920)))
% 202.84/202.76 [4305]E(f318(f318(f101(f927(f926(f926(a920,a920),f926(a920,a920)),a918)),a26),f298(f926(a920,a920),f179(f927(f926(f926(a920,a920),f926(a920,a920)),a918)))),a64)
% 202.84/202.76 [4371]E(f318(a82,f318(f276(f926(a920,a920),f926(a920,a920),a99),f318(f318(f300(f926(a920,a920)),f318(f318(f243(a920,a920),f2(a920)),f2(a920))),f179(f927(f926(a920,a920),a918))))),f2(a1))
% 202.84/202.76 [4372]E(f318(a82,f318(f276(f926(a920,a920),f926(a920,a920),a99),f318(f318(f300(f926(a920,a920)),f318(f318(f243(a920,a920),f71(a920)),f2(a920))),f179(f927(f926(a920,a920),a918))))),f71(a1))
% 202.84/202.76 [4385]E(f318(f253(f926(a920,a920)),f318(f248(a920,a920,a918),f318(f318(f10(a920,f927(a920,a918),a920),f318(f9(a920,a920,a918),a315)),a103))),a308)
% 202.84/202.76 [4357]E(f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88))),f318(a103,f318(a103,f2(a920))))
% 202.84/202.76 [4360]E(f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88))),f318(f318(f73(a920),f71(a920)),f71(a920)))
% 202.84/202.76 [4361]E(f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88))),f318(f29(a918),f233(f927(a918,a918))))
% 202.84/202.76 [4424]P6(f318(f94(a1),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88))))
% 202.84/202.76 [4493]P27(f927(f926(a920,a920),a918),f318(f318(f243(f927(f926(f927(f926(a920,a920),a918),f927(f926(a920,a920),a918)),a918),f927(f926(f927(f926(a920,a920),a918),f927(f926(a920,a920),a918)),a918)),a27),a65))
% 202.84/202.76 [4494]P27(f927(f926(a920,a920),a918),f318(f318(f243(f927(f926(f927(f926(a920,a920),a918),f927(f926(a920,a920),a918)),a918),f927(f926(f927(f926(a920,a920),a918),f927(f926(a920,a920),a918)),a918)),a28),a63))
% 202.84/202.76 [4534]E(f318(f318(f101(f927(f926(f927(f926(a920,a920),a918),f927(f926(a920,a920),a918)),a918)),f310(f926(a920,a920),a64)),f318(f318(f300(f926(f927(f926(a920,a920),a918),f927(f926(a920,a920),a918))),f318(f318(f243(f927(f926(a920,a920),a918),f927(f926(a920,a920),a918)),f179(f927(f926(a920,a920),a918))),f179(f927(f926(a920,a920),a918)))),f179(f927(f926(f927(f926(a920,a920),a918),f927(f926(a920,a920),a918)),a918)))),a63)
% 202.84/202.76 [4535]E(f318(f318(f101(f927(f926(f927(f926(a920,a920),a918),f927(f926(a920,a920),a918)),a918)),f309(f926(a920,a920),a64)),f318(f318(f300(f926(f927(f926(a920,a920),a918),f927(f926(a920,a920),a918))),f318(f318(f243(f927(f926(a920,a920),a918),f927(f926(a920,a920),a918)),f179(f927(f926(a920,a920),a918))),f179(f927(f926(a920,a920),a918)))),f179(f927(f926(f927(f926(a920,a920),a918),f927(f926(a920,a920),a918)),a918)))),a65)
% 202.84/202.76 [4426]E(f318(a95,f318(f94(a1),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))),f318(a103,f318(a103,f2(a920))))
% 202.84/202.76 [4471]E(f318(f91(a1),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))),f318(f94(a1),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88))))
% 202.84/202.76 [4504]P1(f318(f318(f225(a1),f2(a1)),f318(f94(a1),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))))
% 202.84/202.76 [4505]E(f318(f94(a920),f318(f318(f3(a1),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88))),a88)),f318(a103,f318(a103,f318(a103,f2(a920)))))
% 202.84/202.76 [4549]P6(f318(f94(a1),f318(f318(f3(a1),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88))),a88)))
% 202.84/202.76 [4575]E(f318(f91(a1),f318(f94(a920),f318(f318(f3(a1),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88))),a88))),f318(f94(a1),f318(f318(f3(a1),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88))),a88)))
% 202.84/202.76 [4588]P1(f318(f318(f225(a1),f2(a1)),f318(f94(a1),f318(f318(f3(a1),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88))),a88))))
% 202.84/202.76 [3330]P7(x33301,a315)
% 202.84/202.76 [3721]P25(a920,a920,a103,x37211)
% 202.84/202.76 [3323]P112(f919(x33231))
% 202.84/202.76 [3324]P112(f924(x33241))
% 202.84/202.76 [3325]P112(f921(x33251))
% 202.84/202.76 [3326]P112(f922(x33261))
% 202.84/202.76 [3346]P39(a1,f96(x33461))
% 202.84/202.76 [3347]P39(a1,f98(x33471))
% 202.84/202.76 [3397]P39(f927(x33971,a918),f305(x33971))
% 202.84/202.76 [3398]P40(f927(x33981,a918),f305(x33981))
% 202.84/202.76 [3424]E(f234(x34241,x34241,a315),a315)
% 202.84/202.76 [3439]E(f39(a1,x34391,x34391),f2(a1))
% 202.84/202.76 [3492]P15(x34921,f927(x34921,a918),f300(x34921))
% 202.84/202.76 [4661]~E(f318(a103,x46611),x46611)
% 202.84/202.76 [4667]~E(f318(a103,x46671),f2(a920))
% 202.84/202.76 [3332]E(f318(f94(a1),x33321),x33321)
% 202.84/202.76 [3333]E(f318(f180(a920),x33331),x33331)
% 202.84/202.76 [3348]E(f318(a82,f319(x33481)),x33481)
% 202.84/202.76 [3349]E(f318(a5,f585(x33491)),x33491)
% 202.84/202.76 [3350]E(f232(x33501,f2(a90)),f2(a90))
% 202.84/202.76 [3363]E(f105(x33631,f104(x33631)),f104(x33631))
% 202.84/202.76 [3364]E(f143(x33641,f104(x33641)),f104(x33641))
% 202.84/202.76 [3369]E(f318(f158(x33691),f104(x33691)),f104(x33691))
% 202.84/202.76 [3370]E(f318(f162(x33701),f104(x33701)),f104(x33701))
% 202.84/202.76 [3371]E(f318(f159(x33711),f104(x33711)),f104(x33711))
% 202.84/202.76 [3376]E(f318(f94(a1),x33761),f318(f93(a1),x33761))
% 202.84/202.76 [3377]E(f318(a82,f318(a97,x33771)),x33771)
% 202.84/202.76 [3379]E(f318(a5,f318(a22,x33791)),x33791)
% 202.84/202.76 [3380]E(f318(a22,f318(a5,x33801)),x33801)
% 202.84/202.76 [3382]P6(f318(f91(a1),x33821))
% 202.84/202.76 [3391]E(f318(f180(f921(x33911)),f104(x33911)),f2(a920))
% 202.84/202.76 [3392]E(f318(f180(f922(x33921)),f110(x33921)),f2(a920))
% 202.84/202.76 [3415]E(f318(f318(f3(a920),x34151),f2(a920)),x34151)
% 202.84/202.76 [3416]E(f318(f318(f74(a920),x34161),f71(a920)),x34161)
% 202.84/202.76 [3417]E(f318(f318(f74(a1),x34171),f71(a1)),x34171)
% 202.84/202.76 [3418]E(f318(f318(f73(a920),x34181),f2(a920)),x34181)
% 202.84/202.76 [3419]E(f318(f318(f73(a1),x34191),f2(a1)),x34191)
% 202.84/202.76 [3420]E(f318(f318(f224(a920),x34201),f2(a920)),x34201)
% 202.84/202.76 [3421]E(f318(f318(f74(a920),x34211),f2(a920)),f2(a920))
% 202.84/202.76 [3422]E(f318(f318(f30(a1),x34221),f2(a1)),f2(a1))
% 202.84/202.76 [3423]E(f318(f318(f223(a920),x34231),f2(a920)),f2(a920))
% 202.84/202.76 [3430]E(f318(f163(x34301),f104(x34301)),f179(f927(x34301,a918)))
% 202.84/202.76 [3434]P1(f318(f128(x34341),f104(x34341)))
% 202.84/202.76 [3440]E(f318(f145(x34401,x34401),f7(x34401)),f25(f921(x34401)))
% 202.84/202.76 [3441]E(f318(f145(x34411,x34411),f25(x34411)),f25(f921(x34411)))
% 202.84/202.76 [3442]E(f39(a1,x34421,f2(a1)),x34421)
% 202.84/202.76 [3443]E(f318(f225(a920),f318(a103,x34431)),f318(f226(a920),x34431))
% 202.84/202.76 [3444]E(f318(f273(a920),f318(a103,x34441)),f318(f292(a920),x34441))
% 202.84/202.76 [3445]E(f318(f274(a920),f318(a103,x34451)),f318(f295(a920),x34451))
% 202.84/202.76 [3447]E(f39(a1,f2(a1),x34471),f2(a1))
% 202.84/202.76 [3460]E(f318(f318(f73(a920),x34601),f71(a920)),f318(a103,x34601))
% 202.84/202.76 [3469]E(f318(f293(a920,x34691),f2(a920)),f179(f927(a920,a918)))
% 202.84/202.76 [3481]E(f294(a920,f2(a920),x34811),f318(f292(a920),x34811))
% 202.84/202.76 [3524]E(f318(f318(f3(a920),f318(a103,x35241)),f71(a920)),x35241)
% 202.84/202.76 [3536]E(f41(f2(a1),x35361),f318(f318(f243(a1,a1),f2(a1)),f2(a1)))
% 202.84/202.76 [3586]P1(f318(f318(f226(a920),x35861),f318(a103,x35861)))
% 202.84/202.76 [3598]P1(f318(f318(f226(a920),f2(a920)),f318(a103,x35981)))
% 202.84/202.76 [3823]E(f84(x38231,x38231,f233(f927(x38231,a918)),f25(x38231)),f25(x38231))
% 202.84/202.76 [3881]E(f318(f318(f3(a90),f318(a5,f318(a103,f318(a22,x38811)))),f71(a90)),x38811)
% 202.84/202.76 [3951]P1(f318(f318(f225(a1),f318(f72(a1),f318(f91(a1),x39511))),f2(a1)))
% 202.84/202.76 [4094]P1(f318(f318(f226(a1),f318(f72(a1),f318(f91(a1),f318(a103,x40941)))),f2(a1)))
% 202.84/202.76 [4676]~E(f233(f927(x46761,a918)),f179(f927(x46761,a918)))
% 202.84/202.76 [4699]~P1(f318(f318(f226(a920),x46991),f2(a920)))
% 202.84/202.76 [4710]~P1(f318(f318(f226(a1),f318(f91(a1),x47101)),f2(a1)))
% 202.84/202.76 [3381]E(f111(x33811,f110(f922(x33811))),f110(x33811))
% 202.84/202.76 [3396]E(f170(x33961,f104(f921(x33961))),f104(f921(x33961)))
% 202.84/202.76 [3399]E(f318(f318(f74(a1),a76),x33991),a76)
% 202.84/202.76 [3400]E(f318(f318(f73(a1),a76),x34001),x34001)
% 202.84/202.76 [3403]E(f318(a95,f318(f91(a1),x34031)),x34031)
% 202.84/202.76 [3404]E(f318(f318(f3(a1),x34041),a76),x34041)
% 202.84/202.76 [3405]E(f318(f318(f73(a1),x34051),a76),x34051)
% 202.84/202.76 [3407]E(f318(f318(f3(a920),x34071),x34071),f2(a920))
% 202.84/202.76 [3413]E(f318(f72(a1),f318(f72(a1),x34131)),x34131)
% 202.84/202.76 [3414]E(f318(f29(a920),f318(f273(a920),x34141)),x34141)
% 202.84/202.76 [3425]E(f318(f318(f74(a920),f71(a920)),x34251),x34251)
% 202.84/202.76 [3426]E(f318(f318(f74(a1),f71(a1)),x34261),x34261)
% 202.84/202.76 [3427]E(f318(f318(f73(a920),f2(a920)),x34271),x34271)
% 202.84/202.76 [3428]E(f318(f318(f73(a1),f2(a1)),x34281),x34281)
% 202.84/202.76 [3429]E(f318(f318(f224(a920),f2(a920)),x34291),x34291)
% 202.84/202.76 [3435]E(f318(f318(f3(a920),f2(a920)),x34351),f2(a920))
% 202.84/202.76 [3436]E(f318(f318(f74(a920),f2(a920)),x34361),f2(a920))
% 202.84/202.76 [3437]E(f318(f318(f30(a1),f2(a1)),x34371),f2(a1))
% 202.84/202.76 [3438]E(f318(f318(f223(a920),f2(a920)),x34381),f2(a920))
% 202.84/202.76 [3448]E(f119(x34481,f318(f72(a1),x34481)),f123(a1,x34481))
% 202.84/202.76 [3453]E(f318(f293(a920,f2(a920)),x34531),f318(f273(a920),x34531))
% 202.84/202.76 [3454]E(f318(f318(f74(a1),a88),x34541),f318(f72(a1),x34541))
% 202.84/202.76 [3462]E(f318(a95,f318(f94(a1),x34621)),f318(f94(a920),x34621))
% 202.84/202.76 [3463]E(f318(a22,f318(f94(a90),x34631)),f318(f94(a920),x34631))
% 202.84/202.76 [3464]E(f318(f29(a920),f318(f292(a920),x34641)),f318(a103,x34641))
% 202.84/202.76 [3473]E(f318(f318(f73(a920),f71(a920)),x34731),f318(a103,x34731))
% 202.84/202.76 [3477]E(f318(f93(a1),f318(f91(a1),x34771)),f318(f91(a1),x34771))
% 202.84/202.76 [3478]E(f318(f69(a1),f318(f91(a1),x34781)),f318(f91(a1),x34781))
% 202.84/202.76 [3482]E(f318(f29(x34821),f179(f927(x34821,a918))),f2(a920))
% 202.84/202.76 [3484]E(f318(f318(f30(a920),x34841),f318(a103,f2(a920))),x34841)
% 202.84/202.76 [3493]E(f39(a920,x34931,f318(a103,f2(a920))),f2(a920))
% 202.84/202.76 [3494]E(f39(a1,x34941,f318(f94(a1),a88)),f2(a1))
% 202.84/202.76 [3508]E(f318(f318(f30(a1),x35081),f318(f94(a1),a88)),f318(f72(a1),x35081))
% 202.84/202.76 [3512]E(f130(a920,f318(f293(a920,x35121),f2(a920))),f104(a920))
% 202.84/202.76 [3513]E(f318(f318(f73(a1),x35131),f71(a1)),f318(f318(f3(a1),x35131),a88))
% 202.84/202.76 [3514]E(f318(f318(f3(a1),x35141),f71(a1)),f318(f318(f73(a1),x35141),a88))
% 202.84/202.76 [3518]P1(f318(f318(f225(a920),x35181),x35181))
% 202.84/202.76 [3519]P1(f318(f318(f225(a1),x35191),x35191))
% 202.84/202.76 [3520]P1(f318(f318(f278(a920),x35201),x35201))
% 202.84/202.76 [3525]E(f318(f72(a1),f318(f94(a1),x35251)),f318(f94(a1),f318(f72(a1),x35251)))
% 202.84/202.76 [3526]P1(f318(f55(a920),f318(f273(a920),x35261)))
% 202.84/202.76 [3527]P1(f318(f55(a920),f318(f292(a920),x35271)))
% 202.84/202.76 [3534]E(f152(x35341,f233(f927(x35341,a918))),f233(f927(f921(x35341),a918)))
% 202.84/202.76 [3539]P1(f318(f318(f225(a920),f2(a920)),x35391))
% 202.84/202.76 [3549]E(f318(f318(f73(a920),f102(x35491)),f318(a103,f2(a920))),f102(f318(a103,x35491)))
% 202.84/202.76 [3550]E(f318(f253(x35501),f318(f18(a918,x35501),a178)),f233(f927(x35501,a918)))
% 202.84/202.76 [3551]E(f318(f253(x35511),f318(f18(a918,x35511),a230)),f179(f927(x35511,a918)))
% 202.84/202.76 [3554]E(f318(f318(f300(a920),x35541),f318(f273(a920),x35541)),f318(f273(a920),f318(a103,x35541)))
% 202.84/202.76 [3567]E(f318(f318(f73(a1),f71(a1)),f318(f91(a1),x35671)),f318(f91(a1),f318(a103,x35671)))
% 202.84/202.76 [3569]E(f318(f318(f142(f921(x35691)),f104(x35691)),f104(f921(x35691))),f48(x35691,f104(x35691)))
% 202.84/202.76 [3589]E(f179(f927(f926(x35891,x35891),a918)),f254(x35891,f179(f927(x35891,a918))))
% 202.84/202.76 [3590]E(f318(f299(x35901),f233(f927(x35901,a918))),f233(f927(f927(x35901,a918),a918)))
% 202.84/202.76 [3591]E(f318(f72(f927(x35911,a918)),f233(f927(x35911,a918))),f179(f927(x35911,a918)))
% 202.84/202.76 [3592]E(f318(f72(f927(x35921,a918)),f179(f927(x35921,a918))),f233(f927(x35921,a918)))
% 202.84/202.76 [3594]P1(f318(f55(x35941),f179(f927(x35941,a918))))
% 202.84/202.76 [3596]E(f318(f293(a920,x35961),f318(a103,x35961)),f318(f318(f300(a920),x35961),f179(f927(a920,a918))))
% 202.84/202.76 [3597]E(f78(f926(a920,a920),f42(x35971,f2(a920))),f318(f318(f243(a920,a920),f2(a920)),x35971))
% 202.84/202.76 [3610]E(f318(f318(f300(a920),f318(a103,x36101)),f318(f292(a920),x36101)),f318(f292(a920),f318(a103,x36101)))
% 202.84/202.76 [3614]P39(x36141,f179(f927(f926(x36141,x36141),a918)))
% 202.84/202.76 [3615]P41(x36151,f179(f927(f926(x36151,x36151),a918)))
% 202.84/202.76 [3618]P1(f318(f318(f225(a1),f2(a1)),f318(f91(a1),x36181)))
% 202.84/202.76 [3625]E(f318(f318(f73(a920),f318(f180(a920),x36251)),f318(a103,f2(a920))),f318(f180(a920),f318(a103,x36251)))
% 202.84/202.76 [3728]P43(f318(f301(a920,a1,f91(a1)),x37281))
% 202.84/202.76 [3766]P56(x37661,f179(f927(x37661,a918)),f179(f927(f926(x37661,x37661),a918)))
% 202.84/202.76 [3784]E(f318(f318(f243(a1,a1),f318(f94(a1),a88)),f318(f318(f3(a1),x37841),f71(a1))),f44(f318(f94(a1),a88),x37841))
% 202.84/202.76 [3836]P63(x38361,f318(f18(f927(x38361,a918),x38361),f318(f18(a918,x38361),a230)))
% 202.84/202.76 [3849]E(f281(a920,f278(a920),x38491,x38491),f318(f318(f300(a920),x38491),f179(f927(a920,a918))))
% 202.84/202.76 [4038]P1(f318(f318(f320(f927(f926(a920,a920),a918)),f319(x40381)),a89))
% 202.84/202.76 [4063]P1(f318(f318(f320(f927(f926(a920,a920),a918)),f318(a97,x40631)),a89))
% 202.84/202.76 [4192]P25(x41921,f927(x41921,a918),f318(f318(f9(x41921,f927(x41921,a918),f927(x41921,a918)),f300(x41921)),f179(f927(x41921,a918))),f233(f927(x41921,a918)))
% 202.84/202.76 [4672]~E(f318(f318(f73(a1),x46721),x46721),a88)
% 202.84/202.76 [4686]~E(f318(a5,f318(a103,f318(a22,x46861))),f2(a90))
% 202.84/202.76 [4692]~P1(f318(a184,f318(f91(a1),x46921)))
% 202.84/202.76 [4695]~P1(f318(f318(f226(a920),x46951),x46951))
% 202.84/202.76 [4703]~P1(f318(f318(f225(a920),f318(a103,x47031)),x47031))
% 202.84/202.76 [3541]E(f318(a95,f318(f72(a1),f318(f91(a1),x35411))),f2(a920))
% 202.84/202.76 [3544]E(f318(f318(f73(a1),f318(f72(a1),x35441)),x35441),f2(a1))
% 202.84/202.76 [3548]E(f318(f29(a1),f318(f293(a1,f2(a1)),x35481)),f318(a95,x35481))
% 202.84/202.76 [3559]E(f318(f318(f235(a920),f318(a103,f2(a920))),x35591),f318(a103,f2(a920)))
% 202.84/202.76 [3655]E(f318(f272(x36551),f179(f927(f926(x36551,x36551),a918))),f179(f927(x36551,a918)))
% 202.84/202.76 [3663]E(f32(f927(x36631,a918),f233(f927(f927(x36631,a918),a918))),f179(f927(x36631,a918)))
% 202.84/202.76 [3664]E(f32(f927(x36641,a918),f179(f927(f927(x36641,a918),a918))),f233(f927(x36641,a918)))
% 202.84/202.76 [3665]E(f31(f927(x36651,a918),f233(f927(f927(x36651,a918),a918))),f233(f927(x36651,a918)))
% 202.84/202.76 [3666]E(f31(f927(x36661,a918),f179(f927(f927(x36661,a918),a918))),f179(f927(x36661,a918)))
% 202.84/202.76 [3670]P1(f318(f318(f278(a920),f318(a103,f2(a920))),x36701))
% 202.84/202.76 [3711]E(f318(f318(f300(f921(x37111)),f104(x37111)),f179(f927(f921(x37111),a918))),f152(x37111,f179(f927(x37111,a918))))
% 202.84/202.76 [3712]E(f318(f318(f300(f921(x37121)),f104(x37121)),f179(f927(f921(x37121),a918))),f153(x37121,f104(f927(x37121,a918))))
% 202.84/202.76 [3750]E(f318(f318(f73(a920),f6(x37501)),f318(a103,f2(a920))),f6(f318(a5,f318(a103,f318(a22,x37501)))))
% 202.84/202.76 [3775]E(f318(f29(a1),f318(f301(a920,a1,f91(a1)),x37751)),f318(f29(a920),x37751))
% 202.84/202.76 [3776]P1(f318(f318(f225(a920),x37761),f318(f318(f74(a920),x37761),x37761)))
% 202.84/202.76 [3814]E(f318(f301(a1,a920,a95),f294(a1,f2(a1),f318(f91(a1),x38141))),f318(f292(a920),x38141))
% 202.84/202.76 [3831]E(f318(f318(f30(a920),f318(a103,f2(a920))),f318(f94(a920),x38311)),f318(a95,f318(f318(f30(a1),f71(a1)),f318(f94(a1),x38311))))
% 202.84/202.76 [3833]E(f318(f163(a920),f130(a920,f318(f293(a920,f2(a920)),f318(a103,x38331)))),f318(f292(a920),x38331))
% 202.84/202.76 [3834]E(f318(f318(f73(a920),f318(f180(a90),x38341)),f318(a103,f2(a920))),f318(f180(a90),f318(a5,f318(a103,f318(a22,x38341)))))
% 202.84/202.76 [3855]P41(x38551,f298(x38551,f179(f927(f926(x38551,x38551),a918))))
% 202.84/202.76 [3856]P55(x38561,f298(x38561,f179(f927(f926(x38561,x38561),a918))))
% 202.84/202.76 [3857]E(f318(f301(a1,a920,a95),f318(f301(a920,a1,f91(a1)),x38571)),x38571)
% 202.84/202.76 [3887]E(f318(f318(f300(a920),f2(a920)),f318(f301(a920,a920,a103),f318(f273(a920),x38871))),f318(f273(a920),f318(a103,x38871)))
% 202.84/202.76 [3893]P58(x38931,x38931,f298(x38931,f179(f927(f926(x38931,x38931),a918))))
% 202.84/202.76 [3899]P1(f318(a184,f318(f72(a1),f318(f91(a1),f318(a103,x38991)))))
% 202.84/202.76 [3909]E(f318(f318(f3(f927(a920,a918)),f318(f274(a920),x39091)),f318(f318(f300(a920),x39091),f179(f927(a920,a918)))),f318(f274(a920),f318(a103,x39091)))
% 202.84/202.76 [3926]E(f318(f318(f73(a1),f318(f318(f3(a1),a76),x39261)),f318(f318(f3(a1),a76),x39261)),f318(f318(f3(a1),a76),f318(f318(f73(a1),x39261),x39261)))
% 202.84/202.76 [3940]E(f318(f318(f300(f927(x39401,a918)),f179(f927(x39401,a918))),f179(f927(f927(x39401,a918),a918))),f318(f299(x39401),f179(f927(x39401,a918))))
% 202.84/202.76 [3968]E(f318(f318(f3(f927(a920,a918)),f318(f295(a920),x39681)),f318(f318(f300(a920),f318(a103,x39681)),f179(f927(a920,a918)))),f318(f295(a920),f318(a103,x39681)))
% 202.84/202.76 [4075]E(f318(f94(a920),f318(f318(f73(a1),x40751),x40751)),f318(f318(f79(a920,a920),f318(f94(a920),x40751)),f318(f318(f20(a920,a920,a920),f73(a920)),f7(a920))))
% 202.84/202.76 [4446]P15(x44461,f927(x44461,a918),f318(f318(f10(f927(x44461,a918),f927(f927(x44461,a918),f927(x44461,a918)),x44461),f318(f9(f927(x44461,a918),f927(x44461,a918),f927(x44461,a918)),f3(f927(x44461,a918)))),f318(f318(f9(x44461,f927(x44461,a918),f927(x44461,a918)),f300(x44461)),f179(f927(x44461,a918)))))
% 202.84/202.76 [4533]E(f318(f253(f926(a1,a1)),f318(f248(a1,a1,a918),f318(f318(f10(f927(a1,a918),f927(a1,a918),a1),f318(f20(a1,a918,a918),f318(f318(f10(a918,f927(a918,a918),a1),a316),f318(f225(a1),x45331)))),f226(a1)))),f98(x45331))
% 202.84/202.76 [4566]E(f318(f253(f926(a1,a1)),f318(f248(a1,a1,a918),f318(f318(f20(a1,f927(a1,a918),f927(a1,a918)),f318(f318(f10(f927(a918,a918),f927(f927(a1,a918),f927(a1,a918)),a1),f10(a918,a918,a1)),f318(f318(f10(a918,f927(a918,a918),a1),a316),f318(f225(a1),x45661)))),f226(a1)))),f96(x45661))
% 202.84/202.76 [4619]E(f318(f253(f926(f927(x46191,a918),f927(x46191,a918))),f318(f248(f927(x46191,a918),f927(x46191,a918),a918),f318(f318(f9(f927(x46191,a918),f927(f927(x46191,a918),a918),f927(f927(x46191,a918),a918)),f318(f318(f10(f927(f927(x46191,a918),f927(a918,a918)),f927(f927(f927(x46191,a918),a918),f927(f927(x46191,a918),a918)),f927(x46191,a918)),f20(f927(x46191,a918),a918,a918)),f318(f318(f10(f927(f927(x46191,a918),a918),f927(f927(x46191,a918),f927(a918,a918)),f927(x46191,a918)),f318(f10(a918,f927(a918,a918),f927(x46191,a918)),a316)),f226(f927(x46191,a918))))),f55(x46191)))),f305(x46191))
% 202.84/202.76 [4707]~P1(f318(f55(f921(x47071)),f233(f927(f921(x47071),a918))))
% 202.84/202.76 [4719]~P1(f318(f318(f225(a1),f2(a1)),f318(f72(a1),f318(f91(a1),f318(a103,x47191)))))
% 202.84/202.76 [3690]E(f318(f318(f3(a1),f318(f318(f73(a1),x36901),a88)),a88),x36901)
% 202.84/202.76 [3704]E(f318(f163(a920),f130(a920,f318(f293(a920,f2(a920)),x37041))),f318(f273(a920),x37041))
% 202.84/202.76 [3947]E(f318(f318(f73(a1),f318(f318(f73(a1),f71(a1)),x39471)),x39471),f318(f318(f3(a1),f318(f318(f73(a1),x39471),x39471)),a88))
% 202.84/202.76 [3995]E(f318(f277(x39951,x39951),f298(x39951,f179(f927(f926(x39951,x39951),a918)))),f298(x39951,f179(f927(f926(x39951,x39951),a918))))
% 202.84/202.76 [4041]P1(f318(f318(f225(a920),x40411),f318(f318(f74(a920),x40411),f318(f318(f74(a920),x40411),x40411))))
% 202.84/202.76 [4309]P1(f318(f55(a920),f318(f253(a920),f318(f318(f9(a920,a920,a918),f225(a920)),x43091))))
% 202.84/202.76 [4310]P1(f318(f55(a920),f318(f253(a920),f318(f318(f9(a920,a920,a918),f226(a920)),x43101))))
% 202.84/202.76 [4582]E(f318(f253(f926(x45821,x45821)),f318(f318(f10(f927(x45821,a918),a918,f926(x45821,x45821)),f80(x45821)),f318(f318(f9(f926(x45821,x45821),f927(x45821,f926(x45821,x45821)),f927(x45821,a918)),f318(f318(f10(f927(f926(x45821,x45821),a918),f927(f927(x45821,f926(x45821,x45821)),f927(x45821,a918)),f926(x45821,x45821)),f10(f926(x45821,x45821),a918,x45821)),a315)),f318(f318(f20(x45821,x45821,f926(x45821,x45821)),f243(x45821,x45821)),f7(x45821))))),f298(x45821,f179(f927(f926(x45821,x45821),a918))))
% 202.84/202.76 [4709]~E(f318(f318(f3(a1),f318(f318(f73(a1),x47091),x47091)),a88),a76)
% 202.84/202.76 [4711]~E(f318(f318(f73(a1),f318(f318(f73(a1),f71(a1)),x47111)),x47111),f2(a1))
% 202.84/202.76 [4085]E(f318(f318(f73(a1),f318(f318(f3(a1),a88),x40851)),f318(f318(f3(a1),a88),x40851)),f318(f318(f3(a1),a88),f318(f318(f3(a1),f318(f318(f73(a1),x40851),x40851)),a88)))
% 202.84/202.76 [4200]E(f318(f318(f3(a1),f318(f318(f73(a1),f318(f318(f3(a1),a88),x42001)),f318(f318(f3(a1),a88),x42001))),a88),f318(f318(f3(a1),a88),f318(f318(f73(a1),x42001),x42001)))
% 202.84/202.76 [4232]E(f318(f318(f3(a1),f318(f318(f73(a1),f318(f318(f73(a1),x42321),a88)),f318(f318(f73(a1),x42321),a88))),a88),f318(f318(f73(a1),f318(f318(f73(a1),x42321),x42321)),a88))
% 202.84/202.76 [4270]E(f318(f318(f3(a1),f318(f318(f73(a1),f318(f318(f3(a1),a88),x42701)),f318(f318(f3(a1),a88),x42701))),a88),f318(f318(f3(a1),a76),f318(f318(f3(a1),f318(f318(f73(a1),x42701),x42701)),a88)))
% 202.84/202.76 [4367]E(f318(a82,f318(f276(f926(a920,a920),f926(a920,a920),a99),f318(f318(f300(f926(a920,a920)),f318(f318(f243(a920,a920),x43671),f2(a920))),f179(f927(f926(a920,a920),a918))))),f318(f91(a1),x43671))
% 202.84/202.76 [4377]E(f318(a82,f318(f276(f926(a920,a920),f926(a920,a920),a99),f318(f318(f300(f926(a920,a920)),f318(f318(f243(a920,a920),f323(x43771)),f524(x43771))),f179(f927(f926(a920,a920),a918))))),x43771)
% 202.84/202.76 [4410]E(f318(f253(a1),f318(f318(f20(a1,a918,a918),f318(f318(f10(a918,f927(a918,a918),a1),a316),f318(f225(a1),f2(a1)))),x44101)),f318(f301(a920,a1,f91(a1)),f318(f253(a920),f318(f318(f10(a1,a918,a920),x44101),f91(a1)))))
% 202.84/202.76 [4454]P43(f318(f253(a1),f318(f318(f20(a1,a918,a918),f318(f318(f10(a918,f927(a918,a918),a1),a316),f318(f225(a1),f2(a1)))),x44541)))
% 202.84/202.76 [4474]P1(f318(f318(f320(f926(f927(f926(a920,a920),a918),f927(f926(a920,a920),a918))),f318(f318(f243(f927(f926(a920,a920),a918),f927(f926(a920,a920),a918)),x44741),f179(f927(f926(a920,a920),a918)))),a65))
% 202.84/202.76 [4479]E(f318(f301(a1,a920,a95),f318(f253(a1),f318(f318(f20(a1,a918,a918),f318(f318(f10(a918,f927(a918,a918),a1),a316),f318(f225(a1),f2(a1)))),f318(f318(f10(a920,a918,a1),x44791),a95)))),f318(f253(a920),x44791))
% 202.84/202.76 [4634]E(f303(a920,f318(f318(f33(f926(a920,a920),f927(a920,a918)),f318(a97,x46341)),f318(f248(a920,a920,f927(a920,a918)),f318(f318(f9(a920,f927(a920,a918),f927(a920,f927(a920,a918))),f318(f318(f10(f927(a920,f927(f927(a920,a918),f927(a920,a918))),f927(f927(a920,a918),f927(a920,f927(a920,a918))),a920),f9(a920,f927(a920,a918),f927(a920,a918))),f318(f318(f10(f927(a920,a920),f927(a920,f927(f927(a920,a918),f927(a920,a918))),a920),f318(f10(a920,f927(f927(a920,a918),f927(a920,a918)),a920),f300(a920))),f3(a920)))),f179(f927(a920,a918)))))),f318(a95,x46341))
% 202.84/202.76 [4130]E(f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),x41301),x41301)),a88)),a88),f318(f318(f73(a1),x41301),x41301))
% 202.84/202.76 [4180]E(f318(f318(f3(a1),f318(f318(f3(a1),f318(f318(f73(a1),x41801),x41801)),a88)),a88),f318(f318(f73(a1),f318(f318(f3(a1),x41801),a88)),f318(f318(f3(a1),x41801),a88)))
% 202.84/202.76 [4383]E(f318(f318(f3(a1),f318(f318(f73(a1),f318(f318(f73(a1),f318(f72(a1),x43831)),a88)),f318(f318(f73(a1),f318(f72(a1),x43831)),a88))),a88),f318(f72(a1),f318(f318(f3(a1),f318(f318(f73(a1),x43831),x43831)),a88)))
% 202.84/202.76 [4427]E(f318(f318(f73(a920),x44271),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))),f318(a103,f318(a103,x44271)))
% 202.84/202.76 [4428]E(f318(f318(f74(a920),x44281),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))),f318(f318(f73(a920),x44281),x44281))
% 202.84/202.76 [4429]E(f318(f318(f30(a920),f318(f318(f73(a920),x44291),x44291)),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))),x44291)
% 202.84/202.76 [4507]E(f39(a920,f318(a103,f318(a103,x45071)),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))),f39(a920,x45071,f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))))
% 202.84/202.76 [4648]E(f318(a82,f318(f318(f33(f926(a920,a920),f927(f926(a920,a920),a918)),f318(a97,x46481)),f318(f248(a920,a920,f927(f926(a920,a920),a918)),f318(f318(f10(f927(a920,f927(f926(a920,a920),a918)),f927(a920,f927(f926(a920,a920),a918)),a920),f318(f10(f927(f926(a920,a920),a918),f927(f926(a920,a920),a918),a920),f276(f926(a920,a920),f926(a920,a920),a99))),f318(f318(f9(a920,f927(f926(a920,a920),a918),f927(a920,f927(f926(a920,a920),a918))),f318(f318(f10(f927(a920,f927(f927(f926(a920,a920),a918),f927(f926(a920,a920),a918))),f927(f927(f926(a920,a920),a918),f927(a920,f927(f926(a920,a920),a918))),a920),f9(a920,f927(f926(a920,a920),a918),f927(f926(a920,a920),a918))),f318(f318(f10(f927(a920,f926(a920,a920)),f927(a920,f927(f927(f926(a920,a920),a918),f927(f926(a920,a920),a918))),a920),f318(f10(f926(a920,a920),f927(f927(f926(a920,a920),a918),f927(f926(a920,a920),a918)),a920),f300(f926(a920,a920)))),f318(f9(a920,a920,f926(a920,a920)),f243(a920,a920))))),f179(f927(f926(a920,a920),a918))))))),f318(f72(a1),x46481))
% 202.84/202.76 [4502]E(f318(f318(f73(a920),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))),x45021),f318(a103,f318(a103,x45021)))
% 202.84/202.76 [4503]E(f318(f318(f74(a920),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))),x45031),f318(f318(f73(a920),x45031),x45031))
% 202.84/202.76 [4539]E(f318(f318(f30(a920),f318(a103,f318(a103,x45391))),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))),f318(a103,f318(f318(f30(a920),x45391),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88))))))
% 202.84/202.76 [4589]E(f318(f318(f73(a920),f318(f94(a920),f318(f318(f3(a1),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88))),a88))),x45891),f318(a103,f318(a103,f318(a103,x45891))))
% 202.84/202.76 [4655]E(f318(f248(a1,a1,f926(a1,a1)),f318(f318(f20(a1,f927(a1,f926(a1,a1)),f927(a1,f926(a1,a1))),f318(f318(f10(f927(a1,f927(f926(a1,a1),f926(a1,a1))),f927(f927(a1,f926(a1,a1)),f927(a1,f926(a1,a1))),a1),f20(a1,f926(a1,a1),f926(a1,a1))),f318(f318(f10(f927(a1,f926(a1,a1)),f927(a1,f927(f926(a1,a1),f926(a1,a1))),a1),f318(f20(a1,f926(a1,a1),f927(f926(a1,a1),f926(a1,a1))),f318(f318(f10(a918,f927(f926(a1,a1),f927(f926(a1,a1),f926(a1,a1))),a1),f85(f926(a1,a1))),f318(f318(f10(a1,a918,a1),f318(f225(a1),f2(a1))),f318(f318(f9(a1,a1,a1),f3(a1)),x46551))))),f318(f318(f9(a1,f927(a1,a1),f927(a1,f926(a1,a1))),f318(f318(f10(f927(a1,f926(a1,a1)),f927(f927(a1,a1),f927(a1,f926(a1,a1))),a1),f10(a1,f926(a1,a1),a1)),f318(f318(f10(a1,f927(a1,f926(a1,a1)),a1),f243(a1,a1)),f318(f318(f9(a1,a1,a1),f318(f318(f10(a1,f927(a1,a1),a1),f73(a1)),f318(f74(a1),f318(f94(a1),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))))),f71(a1))))),f318(f318(f9(a1,a1,a1),f3(a1)),x46551))))),f318(f318(f10(a1,f927(a1,f926(a1,a1)),a1),f243(a1,a1)),f318(f74(a1),f318(f94(a1),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88))))))),f37(x46551))
% 202.84/202.76 [3366]P112(f926(x33661,x33662))
% 202.84/202.76 [3367]P112(f928(x33671,x33672))
% 202.84/202.76 [3368]P112(f925(x33681,x33682))
% 202.84/202.76 [3385]P13(a1,f169(x33851,x33852))
% 202.84/202.76 [3386]P39(x33861,f144(x33861,x33862))
% 202.84/202.76 [3387]P40(x33871,f254(x33871,x33872))
% 202.84/202.76 [3388]P40(x33881,f298(x33881,x33882))
% 202.84/202.76 [3389]P41(x33891,f254(x33891,x33892))
% 202.84/202.76 [3390]P55(x33901,f254(x33901,x33902))
% 202.84/202.76 [3455]P33(x34551,x34552,f104(x34551))
% 202.84/202.76 [3488]P56(x34881,x34882,f254(x34881,x34882))
% 202.84/202.76 [3489]P58(x34891,x34891,f254(x34891,x34892))
% 202.84/202.76 [3753]P25(x37531,x37531,f7(x37531),x37532)
% 202.84/202.76 [3754]P25(x37541,x37541,f25(x37541),x37542)
% 202.84/202.76 [3762]P34(x37621,x37622,f104(x37621),f104(x37621))
% 202.84/202.76 [3769]P25(f921(x37691),f921(x37691),f159(x37691),x37692)
% 202.84/202.76 [4170]P26(x41701,x41701,f25(x41701),x41702,x41702)
% 202.84/202.76 [4681]~P35(x46811,x46812,f104(x46811))
% 202.84/202.76 [4682]~P37(x46821,x46822,f104(x46821))
% 202.84/202.76 [3352]E(f318(f7(x33521),x33522),x33522)
% 202.84/202.76 [3353]E(f318(f253(x33531),x33532),x33532)
% 202.84/202.76 [3355]E(f318(f25(x33551),x33552),x33552)
% 202.84/202.76 [3365]E(f318(f182(x33651),x33652),f106(x33651))
% 202.84/202.76 [3383]E(f78(x33831,f318(a315,x33832)),x33832)
% 202.84/202.76 [3384]E(f83(x33841,f318(a315,x33842)),x33842)
% 202.84/202.76 [3406]E(f318(f116(x34061,x34062),f110(x34061)),f2(a920))
% 202.84/202.76 [3411]E(f318(f127(x34111,x34112),f104(x34111)),f104(x34111))
% 202.84/202.76 [3431]E(f298(x34311,f298(x34311,x34312)),f298(x34311,x34312))
% 202.84/202.76 [3432]E(f143(x34321,f143(x34321,x34322)),f143(x34321,x34322))
% 202.84/202.76 [3450]E(f318(f318(f125(x34501),x34502),f104(x34501)),x34502)
% 202.84/202.76 [3456]E(f164(x34561,x34562,f104(x34561)),x34562)
% 202.84/202.76 [3457]E(f164(x34571,f104(x34571),x34572),x34572)
% 202.84/202.76 [3458]E(f107(x34581,f110(x34581),x34582),x34582)
% 202.84/202.76 [3459]E(f160(x34591,f2(a920),x34592),f104(x34591))
% 202.84/202.76 [3465]E(f318(f318(f166(x34651),x34652),f104(x34651)),f104(x34651))
% 202.84/202.76 [3466]E(f318(f318(f129(x34661),x34662),f104(x34661)),f104(x34661))
% 202.84/202.76 [3468]E(f146(x34681,x34682,f104(x34681)),f2(a920))
% 202.84/202.76 [3470]E(f161(x34701,x34702,f104(x34701)),f104(x34701))
% 202.84/202.76 [3471]E(f168(x34711,x34712,f104(x34711)),f104(x34711))
% 202.84/202.76 [3472]E(f167(x34721,f104(x34721),x34722),f104(x34721))
% 202.84/202.76 [3476]E(f318(f163(x34761),f143(x34761,x34762)),f318(f163(x34761),x34762))
% 202.84/202.76 [3479]E(f318(f275(x34791,x34791),f254(x34791,x34792)),x34792)
% 202.84/202.76 [3480]E(f318(f255(x34801,x34801),f254(x34801,x34802)),x34802)
% 202.84/202.76 [3487]E(f318(f277(x34871,x34871),f254(x34871,x34872)),f254(x34871,x34872))
% 202.84/202.76 [3500]E(f298(f921(x35001),f148(x35001,x35002)),f149(x35001,f298(x35001,x35002)))
% 202.84/202.76 [3502]P1(f318(f128(a1),f169(x35021,x35022)))
% 202.84/202.76 [3510]E(f318(f275(x35101,x35101),f298(x35101,x35102)),f233(f927(x35101,a918)))
% 202.84/202.76 [3511]E(f318(f255(x35111,x35111),f298(x35111,x35112)),f233(f927(x35111,a918)))
% 202.84/202.76 [3515]P1(f318(f128(x35151),f143(x35151,x35152)))
% 202.84/202.76 [3517]P1(f318(f151(x35171,x35172),f104(x35171)))
% 202.84/202.76 [3523]E(f318(f163(a1),f169(x35231,x35232)),f294(a1,x35231,x35232))
% 202.84/202.76 [3537]P59(x35371,f179(f927(x35371,a918)),x35372)
% 202.84/202.76 [3542]E(f318(f247(a1,a1),f40(x35421,x35422)),f39(a1,x35421,x35422))
% 202.84/202.76 [3543]E(f318(f293(a920,x35431),f318(a103,x35432)),f294(a920,x35431,x35432))
% 202.84/202.76 [3558]E(f318(f318(f142(x35581),x35582),f104(x35581)),f131(x35581,x35582,f104(x35581)))
% 202.84/202.76 [3571]E(f294(a920,f318(a103,x35711),x35712),f296(a920,x35711,x35712))
% 202.84/202.76 [3574]P56(x35741,f233(f927(x35741,a918)),f298(x35741,x35742))
% 202.84/202.76 [3636]E(f318(f318(f3(a920),x36361),f318(a103,x36362)),f318(f29(a920),f297(a920,x36362,x36361)))
% 202.84/202.76 [3691]E(f157(x36911,x36912,f104(x36911)),f318(f318(f243(f921(x36911),f921(x36911)),f104(x36911)),f104(x36911)))
% 202.84/202.76 [3709]E(f318(f248(x37091,x37092,f926(x37091,x37092)),f243(x37091,x37092)),f25(f926(x37091,x37092)))
% 202.84/202.76 [3713]P1(f318(f318(f320(f921(x37131)),f104(x37131)),f152(x37131,x37132)))
% 202.84/202.76 [3714]E(f318(f180(f921(x37141)),f105(x37141,x37142)),f318(f318(f3(a920),f318(f180(f921(x37141)),x37142)),f71(a920)))
% 202.84/202.76 [3722]P1(f318(f55(a920),f297(a920,x37221,x37222)))
% 202.84/202.76 [3723]P1(f318(f55(a920),f296(a920,x37231,x37232)))
% 202.84/202.76 [3724]P1(f318(f55(a920),f294(a920,x37241,x37242)))
% 202.84/202.76 [3725]P1(f318(f55(a1),f297(a1,x37251,x37252)))
% 202.84/202.76 [3726]P1(f318(f55(a1),f296(a1,x37261,x37262)))
% 202.84/202.76 [3727]P1(f318(f55(a1),f294(a1,x37271,x37272)))
% 202.84/202.76 [3830]E(f318(f301(a920,a920,a103),f294(a920,x38301,x38302)),f294(a920,f318(a103,x38301),f318(a103,x38302)))
% 202.84/202.76 [3851]E(f318(f318(f280(x38511,x38511,x38511),f298(x38511,x38512)),f298(x38511,x38512)),f298(x38511,x38512))
% 202.84/202.76 [3885]E(f318(f318(f243(a1,a1),f318(f318(f30(a1),x38851),x38852)),f39(a1,x38851,x38852)),f40(x38851,x38852))
% 202.84/202.76 [3886]E(f318(f318(f243(a90,a90),f318(f318(f30(a90),x38861),x38862)),f39(a90,x38861,x38862)),f23(x38861,x38862))
% 202.84/202.76 [3913]E(f318(f318(f243(a920,a920),f318(f318(f30(a920),x39131),x39132)),f39(a920,x39131,x39132)),f78(f926(a920,a920),f42(x39131,x39132)))
% 202.84/202.76 [3964]P1(f318(f318(f226(a920),f318(f318(f3(a920),x39641),x39642)),f318(a103,x39641)))
% 202.84/202.76 [4012]P40(x40121,f318(f318(f280(x40121,x40121,x40121),x40122),f298(x40121,x40122)))
% 202.84/202.76 [4062]E(f318(f318(f73(a1),f318(f318(f74(a1),x40621),f318(f318(f30(a1),x40622),x40621))),f39(a1,x40622,x40621)),x40622)
% 202.84/202.76 [4066]E(f318(f318(f33(a920,f927(f926(f921(x40661),f921(x40661)),a918)),f233(f927(a920,a918))),f134(x40661,x40662)),f136(x40661,x40662))
% 202.84/202.76 [4286]P1(f318(f318(f320(f926(f921(x42861),f921(x42861))),f318(f318(f243(f921(x42861),f921(x42861)),f104(x42861)),f104(x42861))),f149(x42861,x42862)))
% 202.84/202.76 [4395]E(f244(x43951,x43951,x43951,a315,f244(x43951,x43951,x43951,x43952,a315)),x43952)
% 202.84/202.76 [4439]E(f249(x44391,x44391,x44392,x44392,f7(x44391),f7(x44392)),f25(f926(x44391,x44392)))
% 202.84/202.76 [4441]E(f249(x44411,x44411,x44412,x44412,f25(x44411),f25(x44412)),f25(f926(x44411,x44412)))
% 202.84/202.76 [3449]E(f318(f159(x34491),f318(f159(x34491),x34492)),x34492)
% 202.84/202.76 [3451]E(f318(f318(f129(x34511),f2(a920)),x34512),x34512)
% 202.84/202.76 [3467]E(f318(f318(f166(x34671),f2(a920)),x34672),f104(x34671))
% 202.84/202.76 [3474]E(f318(f318(f125(x34741),f104(x34741)),x34742),x34742)
% 202.84/202.76 [3483]E(f31(f927(x34831,a918),f318(f299(x34831),x34832)),x34832)
% 202.84/202.76 [3485]E(f318(f163(x34851),f318(f158(x34851),x34852)),f318(f163(x34851),x34852))
% 202.84/202.76 [3486]E(f318(f163(x34861),f318(f159(x34861),x34862)),f318(f163(x34861),x34862))
% 202.84/202.76 [3491]E(f318(f318(f3(a90),x34911),x34912),f318(f318(a4,x34911),x34912))
% 202.84/202.76 [3504]E(f318(f318(f74(a920),x35041),x35042),f318(f318(f74(a920),x35042),x35041))
% 202.84/202.76 [3505]E(f318(f318(f74(a1),x35051),x35052),f318(f318(f74(a1),x35052),x35051))
% 202.84/202.76 [3506]E(f318(f318(f73(a920),x35061),x35062),f318(f318(f73(a920),x35062),x35061))
% 202.84/202.76 [3507]E(f318(f318(f73(a1),x35071),x35072),f318(f318(f73(a1),x35072),x35071))
% 202.84/202.76 [3529]E(f318(f318(f174(x35291,x35291),f2(a920)),x35292),f25(x35291))
% 202.84/202.76 [3530]E(f318(f180(f921(x35301)),f318(f158(x35301),x35302)),f318(f180(f921(x35301)),x35302))
% 202.84/202.76 [3531]E(f318(f180(f921(x35311)),f318(f159(x35311),x35312)),f318(f180(f921(x35311)),x35312))
% 202.84/202.76 [3532]E(f167(x35321,x35322,f179(f927(a920,a918))),f104(x35321))
% 202.84/202.76 [3533]E(f318(f318(f145(x35331,x35331),f7(x35331)),x35332),x35332)
% 202.84/202.76 [3535]E(f318(f242(a1,a1),f40(x35351,x35352)),f318(f318(f30(a1),x35351),x35352))
% 202.84/202.76 [3552]E(f318(f180(f921(x35521)),f143(x35521,x35522)),f318(f29(x35521),f318(f163(x35521),x35522)))
% 202.84/202.76 [3553]E(f318(f272(x35531),f318(f277(x35531,x35531),x35532)),f318(f272(x35531),x35532))
% 202.84/202.76 [3557]P1(f318(f55(x35571),f318(f163(x35571),x35572)))
% 202.84/202.76 [3566]E(f318(f318(f73(a1),x35661),f318(f72(a1),x35662)),f318(f318(f3(a1),x35661),x35662))
% 202.84/202.76 [3573]P14(x35731,x35732,f179(f927(f919(x35731),a918)))
% 202.84/202.76 [3575]E(f318(f301(x35751,x35751,f7(x35751)),x35752),x35752)
% 202.84/202.76 [3576]E(f318(f301(x35761,x35761,f25(x35761)),x35762),x35762)
% 202.84/202.76 [3577]E(f318(f302(x35771,x35771,f7(x35771)),x35772),x35772)
% 202.84/202.76 [3578]E(f318(f302(x35781,x35781,f25(x35781)),x35782),x35782)
% 202.84/202.76 [3579]P1(f318(f233(f927(x35791,a918)),x35792))
% 202.84/202.76 [3581]E(f318(f29(a920),f318(f293(a920,x35811),x35812)),f318(f318(f3(a920),x35812),x35811))
% 202.84/202.76 [3582]E(f318(f293(a920,f318(a103,x35821)),x35822),f297(a920,x35821,x35822))
% 202.84/202.76 [3595]E(f318(f318(f300(x35951),x35952),f179(f927(x35951,a918))),f318(f253(x35951),f318(a315,x35952)))
% 202.84/202.76 [3600]E(f298(x36001,f318(f277(x36001,x36001),x36002)),f318(f277(x36001,x36001),f298(x36001,x36002)))
% 202.84/202.76 [3605]E(f318(f318(f73(a920),f318(a103,x36051)),x36052),f318(f318(f73(a920),x36051),f318(a103,x36052)))
% 202.84/202.76 [3606]E(f318(f318(f3(a920),f318(a103,x36061)),f318(a103,x36062)),f318(f318(f3(a920),x36061),x36062))
% 202.84/202.76 [3612]E(f49(x36121,f2(a920),x36122),f318(f318(f142(f921(x36121)),f104(x36121)),f104(f921(x36121))))
% 202.84/202.76 [3613]E(f318(f29(a920),f296(a920,x36131,x36132)),f318(f318(f3(a920),x36132),x36131))
% 202.84/202.76 [3622]P39(x36221,f318(f318(f279(a920,x36221),a231),x36222))
% 202.84/202.76 [3624]P13(a920,f130(a920,f318(f293(a920,x36241),x36242)))
% 202.84/202.76 [3626]P1(f318(f55(a920),f318(f293(a920,x36261),x36262)))
% 202.84/202.76 [3627]P1(f318(f55(a1),f318(f293(a1,x36271),x36272)))
% 202.84/202.76 [3630]E(f318(f277(f921(x36301),f921(x36301)),f148(x36301,x36302)),f148(x36301,f318(f277(x36301,x36301),x36302)))
% 202.84/202.76 [3632]E(f318(f293(a1,x36321),f318(f318(f73(a1),x36322),f71(a1))),f294(a1,x36321,x36322))
% 202.84/202.76 [3635]E(f318(f318(f30(a1),f318(f72(a1),x36351)),f318(f72(a1),x36352)),f318(f318(f30(a1),x36351),x36352))
% 202.84/202.76 [3643]E(f318(f318(f174(f926(x36431,x36431),a918),f71(a920)),x36432),x36432)
% 202.84/202.76 [3645]E(f318(f318(f92(f927(x36451,a918)),x36452),f233(f927(x36451,a918))),x36452)
% 202.84/202.76 [3646]E(f318(f318(f101(f927(x36461,a918)),x36462),f179(f927(x36461,a918))),x36462)
% 202.84/202.76 [3647]E(f318(f318(f3(f927(x36471,a918)),x36472),f179(f927(x36471,a918))),x36472)
% 202.84/202.76 [3648]E(f318(f242(a920,a920),f78(f926(a920,a920),f42(x36481,x36482))),f318(f318(f30(a920),x36481),x36482))
% 202.84/202.76 [3654]E(f294(a1,f318(f318(f73(a1),x36541),f71(a1)),x36542),f296(a1,x36541,x36542))
% 202.84/202.76 [3659]E(f318(f247(a920,a920),f78(f926(a920,a920),f42(x36591,x36592))),f39(a920,x36591,x36592))
% 202.84/202.76 [3669]P1(f318(f318(f320(x36691),x36692),f233(f927(x36691,a918))))
% 202.84/202.76 [3674]E(f318(f318(f3(a920),f318(a103,x36741)),x36742),f318(f29(a920),f294(a920,x36742,x36741)))
% 202.84/202.76 [3700]E(f318(f318(f92(f927(x37001,a918)),x37002),f179(f927(x37001,a918))),f179(f927(x37001,a918)))
% 202.84/202.76 [3701]E(f318(f318(f101(f927(x37011,a918)),x37012),f233(f927(x37011,a918))),f233(f927(x37011,a918)))
% 202.84/202.76 [3702]E(f318(f318(f3(f927(x37021,a918)),x37022),f233(f927(x37021,a918))),f179(f927(x37021,a918)))
% 202.84/202.76 [3717]E(f39(a1,f318(f72(a1),x37171),f318(f72(a1),x37172)),f318(f72(a1),f39(a1,x37171,x37172)))
% 202.84/202.76 [3718]E(f39(a1,f318(f91(a1),x37181),f318(f91(a1),x37182)),f318(f91(a1),f39(a920,x37181,x37182)))
% 202.84/202.76 [3729]E(f318(f180(f921(x37291)),f318(f162(x37291),x37292)),f318(f318(f3(a920),f318(f180(f921(x37291)),x37292)),f71(a920)))
% 202.84/202.76 [3755]E(f318(f318(f30(a1),f39(a1,x37551,x37552)),x37552),f2(a1))
% 202.84/202.76 [3764]E(f318(a5,f39(a920,f318(a22,x37641),f318(a22,x37642))),f39(a90,x37641,x37642))
% 202.84/202.76 [3797]E(f318(a5,f318(f318(f3(a920),f318(a22,x37971)),f318(a22,x37972))),f318(f318(f3(a90),x37971),x37972))
% 202.84/202.76 [3798]E(f318(a5,f318(f318(f74(a920),f318(a22,x37981)),f318(a22,x37982))),f318(f318(f74(a90),x37981),x37982))
% 202.84/202.76 [3799]E(f318(a5,f318(f318(f73(a920),f318(a22,x37991)),f318(a22,x37992))),f318(f318(f73(a90),x37991),x37992))
% 202.84/202.76 [3800]E(f318(a5,f318(f318(f30(a920),f318(a22,x38001)),f318(a22,x38002))),f318(f318(f30(a90),x38001),x38002))
% 202.84/202.76 [3808]E(f318(f301(a920,a920,a103),f318(f293(a920,x38081),x38082)),f318(f293(a920,f318(a103,x38081)),f318(a103,x38082)))
% 202.84/202.76 [3835]P1(f318(f42(x38351,x38352),f78(f926(a920,a920),f42(x38351,x38352))))
% 202.84/202.76 [3860]E(f39(a920,f318(a103,f39(a920,x38601,x38602)),x38602),f39(a920,f318(a103,x38601),x38602))
% 202.84/202.76 [3872]E(f318(f318(f34(f927(x38721,a918),f927(x38721,a918)),x38722),f7(f927(x38721,a918))),f32(f927(x38721,a918),x38722))
% 202.84/202.76 [3873]E(f318(f318(f33(f927(x38731,a918),f927(x38731,a918)),x38732),f7(f927(x38731,a918))),f31(f927(x38731,a918),x38732))
% 202.84/202.76 [3874]E(f318(f301(f921(x38741),f927(x38741,a918),f163(x38741)),f318(f163(f921(x38741)),f48(x38741,x38742))),f318(f299(x38741),f318(f163(x38741),x38742)))
% 202.84/202.76 [3878]P1(f318(f318(f320(f927(x38781,a918)),x38782),f318(f299(x38781),x38782)))
% 202.84/202.76 [3884]E(f39(a1,f318(f72(a1),f39(a1,x38841,x38842)),x38842),f39(a1,f318(f72(a1),x38841),x38842))
% 202.84/202.76 [3895]P1(f318(f318(f225(f927(x38951,a918)),x38952),f233(f927(x38951,a918))))
% 202.84/202.76 [3897]E(f318(f318(f280(x38971,x38971,x38971),f298(x38971,x38972)),f298(x38971,f298(x38971,x38972))),f298(x38971,x38972))
% 202.84/202.76 [3898]E(f318(f318(f101(f927(x38981,a918)),f318(f255(x38981,x38981),x38982)),f318(f275(x38981,x38981),x38982)),f318(f272(x38981),x38982))
% 202.84/202.76 [3919]E(f304(x39191,x39192,f233(f927(x39191,a918)),f233(f927(x39192,a918))),f233(f927(f928(x39191,x39192),a918)))
% 202.84/202.76 [3969]P1(f318(f318(f225(a920),f39(a920,x39691,x39692)),x39691))
% 202.84/202.76 [3993]P1(f318(f318(f225(a1),f318(f72(a1),f318(f91(a1),x39931))),f318(f91(a1),x39932)))
% 202.84/202.76 [4017]P1(f318(f318(f320(f927(x40171,a918)),f179(f927(x40171,a918))),f318(f299(x40171),x40172)))
% 202.84/202.76 [4022]E(f298(x40221,f318(f318(f280(x40221,x40221,x40221),x40222),f298(x40221,x40222))),f298(x40221,x40222))
% 202.84/202.76 [4025]E(f318(f318(f280(x40251,x40251,x40251),f298(x40251,x40252)),x40252),f318(f318(f280(x40251,x40251,x40251),x40252),f298(x40251,x40252)))
% 202.84/202.76 [4027]E(f318(a95,f318(f318(f73(a1),f318(f318(f3(a1),x40271),x40272)),f71(a1))),f318(f29(a1),f294(a1,x40272,x40271)))
% 202.84/202.76 [4042]E(f318(f275(x40421,x40421),f318(f318(f280(x40421,x40421,x40421),x40422),f298(x40421,x40422))),f318(f275(x40421,x40421),x40422))
% 202.84/202.76 [4043]E(f318(f255(x40431,x40431),f318(f318(f280(x40431,x40431,x40431),x40432),f298(x40431,x40432))),f318(f255(x40431,x40431),x40432))
% 202.84/202.76 [4061]E(f318(f133(f921(x40611),f921(x40611),f125(x40611),f104(x40611)),f160(f921(x40611),x40612,f104(x40611))),f104(x40611))
% 202.84/202.76 [4070]P25(a920,a920,f318(f318(f9(a920,a920,a920),f73(a920)),x40701),x40702)
% 202.84/202.76 [4072]P13(a920,f318(f159(a920),f318(f318(f145(f921(x40721),a920),f180(f921(x40721))),f170(x40721,x40722))))
% 202.84/202.76 [4102]P55(x41021,f318(f318(f92(f927(f926(x41021,x41021),a918)),x41022),f318(f277(x41021,x41021),x41022)))
% 202.84/202.76 [4103]P55(x41031,f318(f318(f101(f927(f926(x41031,x41031),a918)),x41032),f318(f277(x41031,x41031),x41032)))
% 202.84/202.76 [4114]P1(f318(f318(f226(a1),f318(f72(a1),f318(f91(a1),f318(a103,x41141)))),f318(f91(a1),x41142)))
% 202.84/202.76 [4159]E(f318(f133(f921(x41591),x41591,f318(f9(x41591,f921(x41591),f921(x41591)),f142(x41591)),f104(x41591)),x41592),f318(f159(x41591),x41592))
% 202.84/202.76 [4207]P1(f318(f318(f225(f927(f926(f921(x42071),f921(x42071)),a918)),f149(x42071,x42072)),f298(f921(x42071),f148(x42071,x42072))))
% 202.84/202.76 [4236]P1(f318(f42(x42361,x42362),f318(f318(f243(a920,a920),f318(f318(f30(a920),x42361),x42362)),f39(a920,x42361,x42362))))
% 202.84/202.76 [4248]P1(f318(f318(f225(f927(f926(f921(x42481),f921(x42481)),a918)),f148(x42481,f298(x42481,x42482))),f298(f921(x42481),f148(x42481,x42482))))
% 202.84/202.76 [4464]E(f318(f318(f250(f926(a90,a90),a90,f926(a90,a90),f926(x44641,f926(a90,a90))),f258(f318(f156(a90),f318(f318(f145(f926(a90,x44641),a90),f242(a90,x44641)),x44642)))),f318(f318(f10(x44641,f927(f926(a90,a90),f926(x44641,f926(a90,a90))),a90),f243(x44641,f926(a90,a90))),f259(x44641,x44642))),f257(x44641,x44642))
% 202.84/202.76 [4541]E(f214(a920,f926(x45411,f922(x45411)),f2(a920),f318(f248(x45411,f922(x45411),a920),f318(f18(f927(f922(x45411),a920),x45411),f318(f318(f9(f922(x45411),a920,a920),f318(f318(f10(a920,f927(a920,a920),f922(x45411)),f73(a920)),f180(f922(x45411)))),f71(a920)))),f318(f126(x45411),x45412)),f318(f180(f922(x45411)),x45412))
% 202.84/202.76 [4647]E(f318(f248(f927(f926(x46471,x46471),a918),f927(f926(x46471,x46471),a918),f927(f927(x46472,x46471),f926(f927(f926(x46472,x46472),a918),f927(f926(x46472,x46472),a918)))),f318(f318(f9(f927(f926(x46471,x46471),a918),f927(f927(f926(x46471,x46471),a918),f927(f927(x46472,x46471),f927(f926(x46472,x46472),a918))),f927(f927(f926(x46471,x46471),a918),f927(f927(x46472,x46471),f926(f927(f926(x46472,x46472),a918),f927(f926(x46472,x46472),a918))))),f318(f318(f10(f927(f927(f927(x46472,x46471),f927(f926(x46472,x46472),a918)),f927(f927(x46472,x46471),f926(f927(f926(x46472,x46472),a918),f927(f926(x46472,x46472),a918)))),f927(f927(f927(f926(x46471,x46471),a918),f927(f927(x46472,x46471),f927(f926(x46472,x46472),a918))),f927(f927(f926(x46471,x46471),a918),f927(f927(x46472,x46471),f926(f927(f926(x46472,x46472),a918),f927(f926(x46472,x46472),a918))))),f927(f926(x46471,x46471),a918)),f10(f927(f927(x46472,x46471),f927(f926(x46472,x46472),a918)),f927(f927(x46472,x46471),f926(f927(f926(x46472,x46472),a918),f927(f926(x46472,x46472),a918))),f927(f926(x46471,x46471),a918))),f318(f318(f10(f927(f927(x46472,x46471),f927(f927(f926(x46472,x46472),a918),f926(f927(f926(x46472,x46472),a918),f927(f926(x46472,x46472),a918)))),f927(f927(f927(x46472,x46471),f927(f926(x46472,x46472),a918)),f927(f927(x46472,x46471),f926(f927(f926(x46472,x46472),a918),f927(f926(x46472,x46472),a918)))),f927(f926(x46471,x46471),a918)),f20(f927(x46472,x46471),f927(f926(x46472,x46472),a918),f926(f927(f926(x46472,x46472),a918),f927(f926(x46472,x46472),a918)))),f318(f318(f10(f927(f927(x46472,x46471),f927(f926(x46472,x46472),a918)),f927(f927(x46472,x46471),f927(f927(f926(x46472,x46472),a918),f926(f927(f926(x46472,x46472),a918),f927(f926(x46472,x46472),a918)))),f927(f926(x46471,x46471),a918)),f318(f10(f927(f926(x46472,x46472),a918),f927(f927(f926(x46472,x46472),a918),f926(f927(f926(x46472,x46472),a918),f927(f926(x46472,x46472),a918))),f927(x46472,x46471)),f243(f927(f926(x46472,x46472),a918),f927(f926(x46472,x46472),a918)))),f279(x46471,x46472))))),f279(x46471,x46472))),f67(x46471,x46472))
% 202.84/202.76 [4693]~E(f318(f299(x46931),x46932),f179(f927(f927(x46931,a918),a918)))
% 202.84/202.76 [4702]~P1(f318(f318(f163(x47021),f104(x47021)),x47022))
% 202.84/202.76 [4706]~P1(f318(f318(f320(x47061),x47062),f179(f927(x47061,a918))))
% 202.84/202.76 [4714]~P1(f318(f318(f226(f927(x47141,a918)),x47142),f179(f927(x47141,a918))))
% 202.84/202.76 [3584]E(f318(f318(f3(a920),x35841),f318(f318(f73(a920),x35841),x35842)),f2(a920))
% 202.84/202.76 [3587]E(f318(f318(f92(f927(x35871,a918)),x35872),x35872),x35872)
% 202.84/202.76 [3588]E(f318(f318(f101(f927(x35881,a918)),x35882),x35882),x35882)
% 202.84/202.76 [3616]E(f318(f318(f3(f927(x36161,a918)),x36162),x36162),f179(f927(x36161,a918)))
% 202.84/202.76 [3619]E(f318(f134(x36191,x36192),f2(a920)),f179(f927(f926(f921(x36191),f921(x36191)),a918)))
% 202.84/202.76 [3620]E(f318(f318(f73(a920),x36201),f318(a103,x36202)),f318(a103,f318(f318(f73(a920),x36201),x36202)))
% 202.84/202.76 [3631]E(f185(f318(f91(a1),x36311),f318(f91(a1),x36312)),f318(f91(a1),f318(f318(f3(a920),x36311),x36312)))
% 202.84/202.76 [3634]E(f318(f318(f30(a1),f318(f72(a1),x36341)),x36342),f318(f318(f30(a1),x36341),f318(f72(a1),x36342)))
% 202.84/202.76 [3638]E(f318(f29(a1),f318(f293(a1,x36381),x36382)),f318(a95,f318(f318(f3(a1),x36382),x36381)))
% 202.84/202.76 [3641]E(f318(f318(f73(a920),f318(a103,x36411)),x36412),f318(a103,f318(f318(f73(a920),x36411),x36412)))
% 202.84/202.76 [3644]E(f318(f72(f927(x36441,a918)),f318(f72(f927(x36441,a918)),x36442)),x36442)
% 202.84/202.76 [3656]E(f170(x36561,f318(f318(f142(f921(x36561)),f104(x36561)),x36562)),f170(x36561,x36562))
% 202.84/202.76 [3660]E(f318(f318(f73(a920),x36601),f318(f318(f74(a920),x36601),x36602)),f318(f318(f74(a920),x36601),f318(a103,x36602)))
% 202.84/202.76 [3667]E(f318(f318(a4,f318(a5,x36671)),f318(a5,x36672)),f318(a5,f318(f318(f3(a920),x36671),x36672)))
% 202.84/202.76 [3682]E(f318(f318(f74(a1),f318(f72(a1),x36821)),x36822),f318(f72(a1),f318(f318(f74(a1),x36821),x36822)))
% 202.84/202.76 [3684]E(f318(f318(f235(a1),f318(f91(a1),x36841)),x36842),f318(f91(a1),f318(f318(f235(a920),x36841),x36842)))
% 202.84/202.76 [3685]E(f318(f318(f74(a90),f318(a5,x36851)),f318(a5,x36852)),f318(a5,f318(f318(f74(a920),x36851),x36852)))
% 202.84/202.76 [3686]E(f318(f318(f73(a90),f318(a5,x36861)),f318(a5,x36862)),f318(a5,f318(f318(f73(a920),x36861),x36862)))
% 202.84/202.76 [3687]E(f318(f318(f223(a920),f318(a103,x36871)),f318(a103,x36872)),f318(a103,f318(f318(f223(a920),x36871),x36872)))
% 202.84/202.76 [3688]E(f318(f318(f224(a920),f318(a103,x36881)),f318(a103,x36882)),f318(a103,f318(f318(f224(a920),x36881),x36882)))
% 202.84/202.76 [3693]E(f318(f163(a920),f130(a920,f318(f293(a920,x36931),x36932))),f318(f293(a920,x36931),x36932))
% 202.84/202.76 [3694]E(f303(x36941,f318(f318(f300(x36941),x36942),f179(f927(x36941,a918)))),x36942)
% 202.84/202.76 [3698]E(f318(f275(x36981,x36982),f179(f927(f926(x36981,x36982),a918))),f179(f927(x36982,a918)))
% 202.84/202.76 [3699]E(f318(f255(x36991,x36992),f179(f927(f926(x36991,x36992),a918))),f179(f927(x36991,a918)))
% 202.84/202.76 [3703]E(f318(a95,f318(f318(f3(a1),x37031),x37032)),f318(f29(a1),f296(a1,x37032,x37031)))
% 202.84/202.76 [3708]E(f318(f318(f73(a920),x37081),f318(f318(f74(a920),x37082),x37081)),f318(f318(f74(a920),f318(a103,x37082)),x37081))
% 202.84/202.76 [3710]E(f318(f318(f54(x37101),f179(f927(x37101,a918))),x37102),f179(f927(f927(x37101,a918),a918)))
% 202.84/202.76 [3719]E(f318(f180(f921(a920)),f130(a920,f318(f293(a920,x37191),x37192))),f318(f318(f3(a920),x37192),x37191))
% 202.84/202.76 [3734]E(f318(f318(f92(f927(x37341,a918)),f233(f927(x37341,a918))),x37342),x37342)
% 202.84/202.76 [3735]E(f318(f318(f101(f927(x37351,a918)),f179(f927(x37351,a918))),x37352),x37352)
% 202.84/202.76 [3736]E(f318(f318(f73(a1),f318(f72(a1),x37361)),f318(f72(a1),x37362)),f318(f72(a1),f318(f318(f73(a1),x37361),x37362)))
% 202.84/202.76 [3741]E(f318(f318(f74(a1),f318(f91(a1),x37411)),f318(f91(a1),x37412)),f318(f91(a1),f318(f318(f74(a920),x37411),x37412)))
% 202.84/202.76 [3742]E(f318(f318(f74(a1),f318(f94(a1),x37421)),f318(f94(a1),x37422)),f318(f94(a1),f318(f318(f74(a1),x37421),x37422)))
% 202.84/202.76 [3744]E(f318(f318(f73(a1),f318(f91(a1),x37441)),f318(f91(a1),x37442)),f318(f91(a1),f318(f318(f73(a920),x37441),x37442)))
% 202.84/202.76 [3745]E(f318(f318(f73(a1),f318(f94(a1),x37451)),f318(f94(a1),x37452)),f318(f94(a1),f318(f318(f73(a1),x37451),x37452)))
% 202.84/202.76 [3746]E(f318(f318(f30(a1),f318(f91(a1),x37461)),f318(f91(a1),x37462)),f318(f91(a1),f318(f318(f30(a920),x37461),x37462)))
% 202.84/202.76 [3765]E(f318(f318(f8(x37651,a920),f318(f18(a920,x37651),f71(a920))),x37652),f318(f29(x37651),x37652))
% 202.84/202.76 [3770]E(f318(f72(a1),f39(a1,f318(f72(a1),x37701),x37702)),f39(a1,x37701,f318(f72(a1),x37702)))
% 202.84/202.76 [3772]E(f318(f163(a1),f169(x37721,f318(f318(f3(a1),x37722),f71(a1)))),f318(f293(a1,x37721),x37722))
% 202.84/202.76 [3777]P1(f318(f318(f225(a920),x37771),f318(f318(f73(a920),x37772),x37771)))
% 202.84/202.76 [3778]P1(f318(f318(f225(a920),x37781),f318(f318(f73(a920),x37781),x37782)))
% 202.84/202.76 [3780]E(f318(f318(f92(f927(x37801,a918)),f179(f927(x37801,a918))),x37802),f179(f927(x37801,a918)))
% 202.84/202.76 [3781]E(f318(f318(f101(f927(x37811,a918)),f233(f927(x37811,a918))),x37812),f233(f927(x37811,a918)))
% 202.84/202.76 [3782]E(f318(f318(f3(f927(x37821,a918)),f179(f927(x37821,a918))),x37822),f179(f927(x37821,a918)))
% 202.84/202.76 [3789]E(f318(f318(f243(a1,a1),x37891),f318(f72(a1),x37892)),f318(a45,f318(f318(f243(a1,a1),x37891),x37892)))
% 202.84/202.76 [3790]E(f318(f293(a1,f318(f318(f73(a1),x37901),f71(a1))),x37902),f297(a1,x37901,x37902))
% 202.84/202.76 [3801]E(f318(f318(f74(a920),x38011),f318(f318(f30(a920),x38012),x38011)),f318(f318(f3(a920),x38012),f39(a920,x38012,x38011)))
% 202.84/202.76 [3802]E(f318(f318(f74(a1),x38021),f318(f318(f30(a1),x38022),x38021)),f318(f318(f3(a1),x38022),f39(a1,x38022,x38021)))
% 202.84/202.76 [3805]E(f318(f163(a1),f169(f318(f318(f73(a1),x38051),f71(a1)),x38052)),f296(a1,x38051,x38052))
% 202.84/202.76 [3809]P1(f318(f318(f225(f927(x38091,a918)),x38092),x38092))
% 202.84/202.76 [3812]E(f318(f318(f92(f927(x38121,a918)),x38122),f318(f72(f927(x38121,a918)),x38122)),f179(f927(x38121,a918)))
% 202.84/202.76 [3813]E(f318(f318(f101(f927(x38131,a918)),x38132),f318(f72(f927(x38131,a918)),x38132)),f233(f927(x38131,a918)))
% 202.84/202.76 [3821]E(f318(f318(f3(a920),f318(f318(f3(a920),x38211),f71(a920))),x38212),f318(f318(f3(a920),x38211),f318(a103,x38212)))
% 202.84/202.76 [3827]E(f318(f318(f3(f927(x38271,a918)),f233(f927(x38271,a918))),x38272),f318(f72(f927(x38271,a918)),x38272))
% 202.84/202.76 [3828]E(f318(f318(f3(a1),f318(f94(a1),x38281)),f318(f94(a1),x38282)),f318(f94(a1),f318(f318(f73(a1),x38281),f318(f72(a1),x38282))))
% 202.84/202.76 [3841]E(f318(f163(a920),f130(a920,f318(f293(a920,x38411),f318(a103,x38412)))),f294(a920,x38411,x38412))
% 202.84/202.76 [3858]E(f318(f180(f921(f921(x38581))),f48(x38581,x38582)),f318(f318(f235(a920),f318(a103,f318(a103,f2(a920)))),f318(f180(f921(x38581)),x38582)))
% 202.84/202.76 [3876]E(f318(f318(f174(f926(x38761,x38761),a918),f2(a920)),x38762),f298(x38761,f179(f927(f926(x38761,x38761),a918))))
% 202.84/202.76 [3880]P1(f318(f128(a920),f130(a920,f318(f293(a920,x38801),x38802))))
% 202.84/202.76 [3896]E(f318(f301(a1,a920,a95),f294(a1,f318(f91(a1),x38961),f318(f91(a1),x38962))),f294(a920,x38961,x38962))
% 202.84/202.76 [3905]E(f176(a920,f2(a920),f7(a920),f318(f318(f3(a920),x39051),x39052)),f318(f318(f3(a920),x39051),f318(a103,x39052)))
% 202.84/202.76 [3906]E(f318(a95,f318(f318(f3(a1),x39061),f318(f318(f73(a1),x39062),f71(a1)))),f318(f29(a1),f297(a1,x39062,x39061)))
% 202.84/202.76 [3941]E(f318(f318(f145(a920,a920),a103),f130(a920,f318(f293(a920,x39411),x39412))),f130(a920,f318(f293(a920,f318(a103,x39411)),f318(a103,x39412))))
% 202.84/202.76 [3949]E(f318(f163(a1),f169(f318(f318(f73(a1),x39491),f71(a1)),f318(f318(f3(a1),x39492),f71(a1)))),f297(a1,x39491,x39492))
% 202.84/202.76 [3961]P1(f318(f318(f225(f927(x39611,a918)),f179(f927(x39611,a918))),x39612))
% 202.84/202.76 [3965]E(f78(x39651,f318(f318(f9(x39651,x39651,a918),a315),x39652)),x39652)
% 202.84/202.76 [3966]E(f83(x39661,f318(f318(f9(x39661,x39661,a918),a315),x39662)),x39662)
% 202.84/202.76 [3970]E(f318(f163(a920),f130(a920,f318(f293(a920,f318(a103,x39701)),f318(a103,x39702)))),f296(a920,x39701,x39702))
% 202.84/202.76 [3996]E(f318(f318(f245(x39961,x39962),f233(f927(x39961,a918))),f318(f18(f927(x39962,a918),x39961),f233(f927(x39962,a918)))),f233(f927(f926(x39961,x39962),a918)))
% 202.84/202.76 [4029]E(f318(f253(x40291),f318(f318(f10(a918,a918,x40291),a313),x40292)),f318(f72(f927(x40291,a918)),f318(f253(x40291),x40292)))
% 202.84/202.76 [4032]E(f318(f253(x40321),f318(f318(f9(x40321,x40321,a918),a315),x40322)),f318(f318(f300(x40321),x40322),f179(f927(x40321,a918))))
% 202.84/202.76 [4039]E(f318(f318(f73(a1),f318(f318(f3(a1),x40391),x40392)),f318(f318(f3(a1),x40391),x40392)),f318(f318(f3(a1),f318(f318(f73(a1),x40391),x40391)),f318(f318(f73(a1),x40392),x40392)))
% 202.84/202.76 [4040]E(f318(f318(f73(a1),f318(f318(f73(a1),x40401),x40401)),f318(f318(f73(a1),x40402),x40402)),f318(f318(f73(a1),f318(f318(f73(a1),x40401),x40402)),f318(f318(f73(a1),x40401),x40402)))
% 202.84/202.76 [4056]P1(f318(f318(f225(a920),f318(f29(x40561),f318(f163(x40561),x40562))),f318(f180(f921(x40561)),x40562)))
% 202.84/202.76 [4057]P1(f318(f318(f225(a920),f318(f180(f921(x40571)),f143(x40571,x40572))),f318(f180(f921(x40571)),x40572)))
% 202.84/202.76 [4067]E(f318(f253(x40671),f318(f318(f9(x40671,f927(x40671,a918),a918),f320(x40671)),x40672)),x40672)
% 202.84/202.76 [4081]E(f318(f318(f166(x40811),f318(f318(f3(a920),f318(f180(f921(x40811)),x40812)),f71(a920))),x40812),f105(x40811,x40812))
% 202.84/202.76 [4101]E(f176(a920,f2(a920),f318(f318(f10(a920,a920,a920),a103),f318(f223(a920),x41011)),x41012),f318(f318(f223(a920),f318(a103,x41011)),x41012))
% 202.84/202.76 [4106]E(f31(f927(x41061,a918),f318(f301(f927(f926(x41061,x41061),a918),f927(x41061,a918),f272(x41061)),x41062)),f318(f272(x41061),f31(f927(f926(x41061,x41061),a918),x41062)))
% 202.84/202.76 [4107]E(f176(a920,f318(a103,x41071),f318(f318(f10(a920,a920,a920),a103),f318(f224(a920),x41071)),x41072),f318(f318(f224(a920),f318(a103,x41071)),x41072))
% 202.84/202.76 [4109]E(f318(f318(f243(a1,a1),f318(f318(f30(a1),f318(f69(a1),x41091)),f318(f69(a1),x41092))),f39(a1,f318(f69(a1),x41091),f318(f69(a1),x41092))),f47(x41091,x41092))
% 202.84/202.76 [4132]P1(f318(f318(f225(f927(f927(x41321,a918),a918)),x41322),f318(f299(x41321),f31(f927(x41321,a918),x41322))))
% 202.84/202.76 [4164]E(f318(f318(f33(x41641,f927(x41641,a918)),x41642),f318(f318(f9(x41641,f927(x41641,a918),f927(x41641,a918)),f300(x41641)),f179(f927(x41641,a918)))),x41642)
% 202.84/202.76 [4165]E(f318(f318(f280(x41651,x41651,x41651),f318(f277(x41651,x41651),x41652)),f298(x41651,f318(f277(x41651,x41651),x41652))),f318(f277(x41651,x41651),f318(f318(f280(x41651,x41651,x41651),x41652),f298(x41651,x41652))))
% 202.84/202.76 [4228]E(f318(f163(x42281),f318(f133(f921(x42281),f921(x42281),f125(x42281),f104(x42281)),x42282)),f318(f318(f33(f921(x42281),f927(x42281,a918)),f318(f163(f921(x42281)),x42282)),f163(x42281)))
% 202.84/202.76 [4259]E(f318(f318(f101(f927(f926(x42591,x42591),a918)),f298(x42591,f179(f927(f926(x42591,x42591),a918)))),f318(f318(f280(x42591,x42591,x42591),f298(x42591,x42592)),x42592)),f298(x42591,x42592))
% 202.84/202.76 [4295]E(f318(f318(f172(x42951,x42951),x42952),x42952),f318(f318(f145(x42951,f926(x42951,x42951)),f318(f318(f20(x42951,x42951,f926(x42951,x42951)),f243(x42951,x42951)),f7(x42951))),x42952))
% 202.84/202.76 [4406]E(f318(f133(a920,f921(x44061),f318(f9(f921(x44061),a920,a920),f318(f318(f10(a920,f927(a920,a920),f921(x44061)),f224(a920)),f180(f921(x44061)))),f2(a920)),f318(f159(f921(x44061)),x44062)),f318(f180(f921(f921(x44061))),f170(x44061,x44062)))
% 202.84/202.76 [4478]E(f318(f318(f279(f926(a920,f921(x44781)),f921(x44781)),f311(a920,f921(x44781),a231,f136(x44781,x44782))),f318(f318(f20(f921(x44781),f921(x44781),f926(a920,f921(x44781))),f318(f318(f10(a920,f927(f921(x44781),f926(a920,f921(x44781))),f921(x44781)),f243(a920,f921(x44781))),f180(f921(x44781)))),f7(f921(x44781)))),f137(x44781,x44782))
% 202.84/202.76 [4605]E(f318(f253(x46051),f318(f318(f10(f927(f927(x46051,a918),a918),a918,x46051),f81(f927(x46051,a918))),f318(f318(f10(f927(f927(x46051,a918),a918),f927(f927(x46051,a918),a918),x46051),f318(f20(f927(x46051,a918),a918,a918),f318(f318(f10(a918,f927(a918,a918),f927(x46051,a918)),a321),f318(f318(f9(f927(x46051,a918),f927(f927(x46051,a918),a918),a918),f320(f927(x46051,a918))),x46052)))),f320(x46051)))),f32(f927(x46051,a918),x46052))
% 202.84/202.76 [4606]E(f318(f253(x46061),f318(f318(f10(f927(f927(x46061,a918),a918),a918,x46061),f80(f927(x46061,a918))),f318(f318(f10(f927(f927(x46061,a918),a918),f927(f927(x46061,a918),a918),x46061),f318(f20(f927(x46061,a918),a918,a918),f318(f318(f10(a918,f927(a918,a918),f927(x46061,a918)),a316),f318(f318(f9(f927(x46061,a918),f927(f927(x46061,a918),a918),a918),f320(f927(x46061,a918))),x46062)))),f320(x46061)))),f31(f927(x46061,a918),x46062))
% 202.84/202.76 [4715]~P1(f318(f318(f226(a1),f318(f91(a1),x47151)),f318(f72(a1),f318(f91(a1),x47152))))
% 202.84/202.76 [3706]E(f318(f318(f3(a920),f318(f318(f73(a920),x37061),x37062)),x37062),x37061)
% 202.84/202.76 [3707]E(f318(f318(f3(a920),f318(f318(f73(a920),x37071),x37072)),x37071),x37072)
% 202.84/202.76 [3771]E(f318(f318(f73(a920),f318(f318(f3(a920),x37711),x37712)),x37712),f318(f318(f224(a920),x37711),x37712))
% 202.84/202.76 [3883]E(f318(f318(f74(a920),f318(f318(f30(a920),x38831),x38832)),x38832),f318(f318(f3(a920),x38831),f39(a920,x38831,x38832)))
% 202.84/202.76 [3910]E(f318(f163(a920),f130(a920,f318(f293(a920,f318(a103,x39101)),x39102))),f297(a920,x39101,x39102))
% 202.84/202.76 [3918]E(f318(f91(a1),f207(f318(a95,f318(f69(a1),x39181)),f318(a95,f318(f69(a1),x39182)))),f318(f318(a208,x39181),x39182))
% 202.84/202.76 [3920]E(f318(f318(f92(f927(x39201,a918)),f318(f72(f927(x39201,a918)),x39202)),x39202),f179(f927(x39201,a918)))
% 202.84/202.76 [3921]E(f318(f318(f101(f927(x39211,a918)),f318(f72(f927(x39211,a918)),x39212)),x39212),f233(f927(x39211,a918)))
% 202.84/202.76 [3937]P1(f318(f318(f225(a920),f318(f318(f3(a920),x39371),x39372)),x39371))
% 202.84/202.76 [3938]P1(f318(f318(f225(a920),f318(f318(f30(a920),x39381),x39382)),x39381))
% 202.84/202.76 [3962]P1(f318(f318(f226(a920),x39621),f318(a103,f318(f318(f73(a920),x39622),x39621))))
% 202.84/202.76 [3963]P1(f318(f318(f226(a920),x39631),f318(a103,f318(f318(f73(a920),x39631),x39632))))
% 202.84/202.76 [3980]E(f318(f318(f74(a920),f318(a95,f318(f69(a1),x39801))),f318(a95,f318(f69(a1),x39802))),f318(a95,f318(f69(a1),f318(f318(f74(a1),x39801),x39802))))
% 202.84/202.76 [3992]P1(f318(f318(f225(a1),f2(a1)),f318(f318(f235(a1),f318(f69(a1),x39921)),x39922)))
% 202.84/202.76 [4060]E(f318(f276(f921(x40601),f921(x40601),f149(x40601,x40602)),f318(f318(f300(f921(x40601)),f104(x40601)),f179(f927(f921(x40601),a918)))),f318(f318(f300(f921(x40601)),f104(x40601)),f179(f927(f921(x40601),a918))))
% 202.84/202.76 [4079]E(f318(f318(f101(f927(f926(x40791,x40791),a918)),f298(x40791,x40792)),f298(x40791,f179(f927(f926(x40791,x40791),a918)))),f298(x40791,x40792))
% 202.84/202.76 [4091]E(f318(f318(f30(a1),f318(f94(a1),f318(f318(f73(a1),x40911),x40911))),f318(f94(a1),f318(f318(f73(a1),x40912),x40912))),f318(f318(f30(a1),f318(f94(a1),x40911)),f318(f94(a1),x40912)))
% 202.84/202.76 [4154]E(f318(f318(f235(a1),x41541),f318(f94(a920),f318(f318(f73(a1),x41542),x41542))),f318(f318(f79(a1,a1),f318(f318(f235(a1),x41541),f318(f94(a920),x41542))),f318(f318(f20(a1,a1,a1),f74(a1)),f7(a1))))
% 202.84/202.76 [4160]E(f318(f253(f927(x41601,a918)),f318(f318(f9(f927(x41601,a918),f927(x41601,a918),a918),f225(f927(x41601,a918))),x41602)),f318(f299(x41601),x41602))
% 202.84/202.76 [4176]E(f318(f318(f145(a1,a920),a95),f318(f318(f125(a1),f318(f318(f145(a920,a1),f91(a1)),x41761)),f318(f318(f145(a920,a1),f91(a1)),x41762))),f318(f318(f125(a920),x41761),x41762))
% 202.84/202.76 [4206]E(f318(f301(a1,a1,f318(f318(f9(a1,a1,a1),f73(a1)),x42061)),f318(f293(a1,f2(a1)),f318(f318(f3(a1),x42062),x42061))),f318(f293(a1,x42061),x42062))
% 202.84/202.76 [4208]P57(x42081,f318(f318(f3(f927(f926(x42081,x42081),a918)),x42082),f298(x42081,f179(f927(f926(x42081,x42081),a918)))))
% 202.84/202.76 [4226]E(f318(f180(f921(x42261)),f318(f133(f921(x42261),f921(x42261),f125(x42261),f104(x42261)),x42262)),f318(f156(a920),f318(f318(f145(f921(x42261),a920),f180(f921(x42261))),x42262)))
% 202.84/202.76 [4230]P56(x42301,f233(f927(x42301,a918)),f318(f318(f101(f927(f926(x42301,x42301),a918)),x42302),f298(x42301,f179(f927(f926(x42301,x42301),a918)))))
% 202.84/202.76 [4275]E(f176(a920,f2(a920),f318(f318(f10(a920,a920,a920),a103),f318(f318(f9(a920,a920,a920),f223(a920)),x42751)),x42752),f318(f318(f223(a920),x42752),f318(a103,x42751)))
% 202.84/202.76 [4278]E(f176(a920,f318(a103,x42781),f318(f318(f10(a920,a920,a920),a103),f318(f318(f9(a920,a920,a920),f224(a920)),x42781)),x42782),f318(f318(f224(a920),x42782),f318(a103,x42781)))
% 202.84/202.76 [4281]E(f318(f301(x42811,f921(x42811),f318(f318(f9(x42811,f921(x42811),f921(x42811)),f142(x42811)),f104(x42811))),x42812),f165(x42811,x42812,f318(f318(f300(f921(x42811)),f104(x42811)),f179(f927(f921(x42811),a918)))))
% 202.84/202.76 [4283]E(f318(f318(f101(f927(f926(x42831,x42831),a918)),f318(f318(f280(x42831,x42831,x42831),x42832),f298(x42831,x42832))),f298(x42831,f179(f927(f926(x42831,x42831),a918)))),f298(x42831,x42832))
% 202.84/202.76 [4290]P1(f318(f318(f225(f927(f926(x42901,x42901),a918)),f254(x42901,x42902)),f318(f318(f245(x42901,x42901),x42902),f318(f18(f927(x42901,a918),x42901),x42902))))
% 202.84/202.76 [4293]E(f318(f301(a1,a920,a95),f318(f318(f92(f927(a1,a918)),f318(f301(a920,a1,f91(a1)),x42931)),f318(f301(a920,a1,f91(a1)),x42932))),f318(f318(f92(f927(a920,a918)),x42931),x42932))
% 202.84/202.76 [4294]E(f318(f301(a1,a920,a95),f318(f318(f101(f927(a1,a918)),f318(f301(a920,a1,f91(a1)),x42941)),f318(f301(a920,a1,f91(a1)),x42942))),f318(f318(f101(f927(a920,a918)),x42941),x42942))
% 202.84/202.76 [4297]E(f318(f253(x42971),f318(f318(f10(a918,a918,x42971),a313),f318(f318(f9(x42971,f927(x42971,a918),a918),f320(x42971)),x42972))),f318(f72(f927(x42971,a918)),x42972))
% 202.84/202.76 [4324]E(f318(f133(f921(x43241),f921(x43241),f125(x43241),f104(x43241)),f318(f318(f145(f921(x43241),f921(x43241)),f159(x43241)),f318(f159(f921(x43241)),x43242))),f318(f159(x43241),f318(f133(f921(x43241),f921(x43241),f125(x43241),f104(x43241)),x43242)))
% 202.84/202.76 [4350]E(f318(f318(f33(a920,f927(f926(x43501,x43501),a918)),f233(f927(a920,a918))),f318(f318(f9(a920,f927(f926(x43501,x43501),a918),f927(f926(x43501,x43501),a918)),f174(f926(x43501,x43501),a918)),x43502)),f298(x43501,x43502))
% 202.84/202.76 [4368]E(f78(x43681,f318(f318(f10(f927(x43681,a918),a918,x43681),f318(a315,x43682)),f318(f318(f9(x43681,f927(x43681,a918),f927(x43681,a918)),f300(x43681)),f179(f927(x43681,a918))))),f303(x43681,x43682))
% 202.84/202.76 [4376]E(f318(f180(f921(x43761)),f143(x43761,f318(f133(f921(x43761),f921(x43761),f125(x43761),f104(x43761)),x43762))),f318(f29(x43761),f318(f318(f33(f921(x43761),f927(x43761,a918)),f318(f163(f921(x43761)),x43762)),f163(x43761))))
% 202.84/202.76 [4390]E(f318(f318(f101(f927(f926(x43901,x43901),a918)),x43902),f318(f318(f280(x43901,x43901,x43901),f318(f318(f280(x43901,x43901,x43901),x43902),f298(x43901,x43902))),x43902)),f318(f318(f280(x43901,x43901,x43901),x43902),f298(x43901,x43902)))
% 202.84/202.76 [4414]P1(f318(f318(f225(f927(f926(x44141,x44141),a918)),f318(f318(f280(x44141,x44141,x44141),x44142),f298(x44141,x44142))),f318(f318(f245(x44141,x44141),f318(f272(x44141),x44142)),f318(f18(f927(x44141,a918),x44141),f318(f272(x44141),x44142)))))
% 202.84/202.76 [4455]E(f318(f253(f921(x44551)),f318(f318(f9(f921(x44551),f927(x44551,a918),a918),f318(f318(f10(f927(x44551,a918),f927(f927(x44551,a918),a918),f921(x44551)),f225(f927(x44551,a918))),f163(x44551))),x44552)),f152(x44551,x44552))
% 202.84/202.76 [4466]E(f318(f147(f921(x44661),x44661,f104(x44661),f318(f318(f10(f921(x44661),f927(f921(x44661),f921(x44661)),x44661),f318(f9(f921(x44661),f921(x44661),f921(x44661)),f125(x44661))),f318(f318(f9(x44661,f921(x44661),f921(x44661)),f142(x44661)),f104(x44661)))),x44662),f318(f158(x44661),x44662))
% 202.84/202.76 [4506]P25(f927(x45061,x45062),f927(f926(x45061,x45062),a918),f318(f318(f10(f927(f926(x45061,x45062),a918),f927(f926(x45061,x45062),a918),f927(x45061,x45062)),f253(f926(x45061,x45062))),f318(f318(f10(f927(x45061,f927(x45062,a918)),f927(f926(x45061,x45062),a918),f927(x45061,x45062)),f248(x45061,x45062,a918)),f318(f10(x45062,f927(x45062,a918),x45061),f318(f9(x45062,x45062,a918),a315)))),f233(f927(f927(x45061,x45062),a918)))
% 202.84/202.76 [4511]E(f39(a1,f318(f94(a1),f318(f318(f73(a1),x45111),x45111)),f318(f94(a1),f318(f318(f73(a1),x45112),x45112))),f318(f318(f74(a1),f318(f94(a1),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))),f39(a1,f318(f94(a1),x45111),f318(f94(a1),x45112))))
% 202.84/202.76 [4555]E(f318(f318(f33(x45551,f927(f926(x45551,x45551),a918)),x45552),f318(f318(f9(x45551,f927(f926(x45551,x45551),a918),f927(f926(x45551,x45551),a918)),f318(f318(f10(f926(x45551,x45551),f927(f927(f926(x45551,x45551),a918),f927(f926(x45551,x45551),a918)),x45551),f300(f926(x45551,x45551))),f318(f318(f20(x45551,x45551,f926(x45551,x45551)),f243(x45551,x45551)),f7(x45551)))),f179(f927(f926(x45551,x45551),a918)))),f254(x45551,x45552))
% 202.84/202.76 [4563]E(f193(x45631,f318(f318(f243(a1,a1),f318(f72(a1),f318(f318(f66(f926(a1,a1),a1,x45631,f242(a1,a1)),f203(x45631)),x45632))),f318(f318(f66(f926(a1,a1),a1,x45631,f247(a1,a1)),f203(x45631)),x45632))),f218(x45631,x45632))
% 202.84/202.76 [4644]E(f318(f253(f927(x46441,a918)),f318(f318(f10(f927(f927(x46441,a918),a918),a918,f927(x46441,a918)),f80(f927(x46441,a918))),f318(f318(f9(f927(x46441,a918),f927(f927(x46441,a918),a918),f927(f927(x46441,a918),a918)),f318(f318(f10(f927(f927(x46441,a918),f927(a918,a918)),f927(f927(f927(x46441,a918),a918),f927(f927(x46441,a918),a918)),f927(x46441,a918)),f20(f927(x46441,a918),a918,a918)),f318(f318(f10(f927(f927(x46441,a918),a918),f927(f927(x46441,a918),f927(a918,a918)),f927(x46441,a918)),f318(f10(a918,f927(a918,a918),f927(x46441,a918)),a316)),f318(f318(f9(f927(x46441,a918),f927(f927(x46441,a918),f927(x46441,a918)),f927(f927(x46441,a918),a918)),f318(f318(f10(f927(f927(x46441,a918),a918),f927(f927(f927(x46441,a918),f927(x46441,a918)),f927(f927(x46441,a918),a918)),f927(x46441,a918)),f10(f927(x46441,a918),a918,f927(x46441,a918))),a315)),f72(f927(x46441,a918)))))),f318(f318(f10(f927(f927(x46441,a918),a918),a918,f927(x46441,a918)),f318(f320(f927(x46441,a918)),x46442)),f299(x46441))))),f318(f299(x46441),f318(f72(f927(x46441,a918)),x46442)))
% 202.84/202.76 [4713]~E(f318(f318(f73(a1),x47131),x47131),f318(f318(f3(a1),f318(f318(f73(a1),x47132),x47132)),a88))
% 202.84/202.76 [4717]~P1(f318(f318(f226(a920),f318(f318(f73(a920),x47171),x47172)),x47172))
% 202.84/202.76 [4718]~P1(f318(f318(f226(a920),f318(f318(f73(a920),x47181),x47182)),x47181))
% 202.84/202.76 [3997]E(f318(f318(f3(a920),x39971),f318(f318(f74(a920),f318(f318(f30(a920),x39971),x39972)),x39972)),f39(a920,x39971,x39972))
% 202.84/202.76 [3998]E(f318(f318(f3(a1),x39981),f318(f318(f74(a1),f318(f318(f30(a1),x39981),x39982)),x39982)),f39(a1,x39981,x39982))
% 202.84/202.76 [4030]E(f318(f318(f145(a920,x40301),f318(f155(x40301),x40302)),f130(a920,f318(f293(a920,f2(a920)),f318(f180(f921(x40301)),x40302)))),x40302)
% 202.84/202.76 [4087]E(f318(f276(x40871,x40871,f298(x40871,f179(f927(f926(x40871,x40871),a918)))),x40872),x40872)
% 202.84/202.76 [4211]E(f298(x42111,f318(f318(f101(f927(f926(x42111,x42111),a918)),x42112),f298(x42111,f179(f927(f926(x42111,x42111),a918))))),f298(x42111,x42112))
% 202.84/202.76 [4212]E(f298(x42121,f318(f318(f3(f927(f926(x42121,x42121),a918)),x42122),f298(x42121,f179(f927(f926(x42121,x42121),a918))))),f298(x42121,x42122))
% 202.84/202.76 [4262]E(f318(f318(f3(a1),f318(f318(f3(a1),f318(f318(f73(a1),x42621),x42621)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),x42622),x42622)),a88)),f318(f318(f73(a1),f318(f318(f3(a1),x42621),x42622)),f318(f318(f3(a1),x42621),x42622)))
% 202.84/202.76 [4302]E(f318(f318(f3(a1),f318(f318(f73(a1),f318(f318(f73(a1),x43021),x43022)),f318(f318(f73(a1),x43021),x43022))),a88),f318(f318(f73(a1),f318(f318(f73(a1),x43021),x43021)),f318(f318(f3(a1),f318(f318(f73(a1),x43022),x43022)),a88)))
% 202.84/202.76 [4327]E(f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),x43271),x43271)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),x43272),x43272)),a88)),f318(f318(f73(a1),f318(f318(f73(a1),x43271),f318(f318(f3(a1),x43272),a88))),f318(f318(f73(a1),x43271),f318(f318(f3(a1),x43272),a88))))
% 202.84/202.76 [4338]E(f318(f318(f3(a1),f318(f318(f73(a1),f318(f318(f3(a1),x43381),x43382)),f318(f318(f3(a1),x43381),x43382))),a88),f318(f318(f3(a1),f318(f318(f3(a1),f318(f318(f73(a1),x43381),x43381)),a88)),f318(f318(f73(a1),x43382),x43382)))
% 202.84/202.76 [4339]E(f318(f318(f3(a1),f318(f318(f73(a1),f318(f318(f73(a1),x43391),x43392)),f318(f318(f73(a1),x43391),x43392))),a88),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),x43391),x43391)),a88)),f318(f318(f73(a1),x43392),x43392)))
% 202.84/202.76 [4387]E(f318(f91(a1),f318(f318(f30(a920),f318(f318(f74(a920),f318(a95,f318(f69(a1),x43871))),f318(a95,f318(f69(a1),x43872)))),f207(f318(a95,f318(f69(a1),x43871)),f318(a95,f318(f69(a1),x43872))))),f209(x43871,x43872))
% 202.84/202.76 [4432]E(f318(f318(f250(f926(a90,a90),a90,f926(a90,a90),f926(x44321,f926(a90,a90))),f258(f318(a5,f318(f180(f921(x44321)),x44322)))),f318(f318(f10(x44321,f927(f926(a90,a90),f926(x44321,f926(a90,a90))),a90),f243(x44321,f926(a90,a90))),f318(f318(f10(a920,x44321,a90),f318(f155(x44321),x44322)),a22))),f266(x44321,x44322))
% 202.84/202.76 [4512]E(f318(f133(a920,f921(x45121),f318(f9(f921(x45121),a920,a920),f318(f318(f10(a920,f927(a920,a920),f921(x45121)),f224(a920)),f180(f921(x45121)))),f2(a920)),f318(f159(f921(x45121)),f170(x45121,x45122))),f318(f180(f921(f921(x45121))),f318(f127(f921(x45121),f318(f318(f10(a918,a918,f921(x45121)),a313),f318(f318(f9(f921(x45121),f921(x45121),a918),a315),f104(x45121)))),x45122)))
% 202.84/202.76 [4518]E(f318(f318(f33(a920,f927(x45181,a918)),f233(f927(a920,a918))),f318(f318(f9(a920,f927(a920,f927(x45181,a918)),f927(x45181,a918)),f318(f318(f10(f927(a920,a918),f927(f927(a920,f927(x45181,a918)),f927(x45181,a918)),a920),f33(a920,f927(x45181,a918))),f293(a920,f2(a920)))),x45182)),f318(f318(f33(a920,f927(x45181,a918)),f233(f927(a920,a918))),x45182))
% 202.84/202.76 [4540]P1(f318(f55(a920),f318(f253(a920),f318(f318(f20(a920,a918,a918),f318(f318(f10(a918,f927(a918,a918),a920),a316),x45401)),f318(f318(f9(a920,a920,a918),f226(a920)),x45402)))))
% 202.84/202.76 [4652]E(f318(f253(f926(f921(x46521),f921(x46521))),f318(f248(f921(x46521),f921(x46521),a918),f318(f318(f20(f921(x46521),f927(f921(x46521),a918),f927(f921(x46521),a918)),f318(f318(f10(f927(f921(x46521),f927(a918,a918)),f927(f927(f921(x46521),a918),f927(f921(x46521),a918)),f921(x46521)),f20(f921(x46521),a918,a918)),f318(f318(f10(f927(f921(x46521),a918),f927(f921(x46521),f927(a918,a918)),f921(x46521)),f318(f10(a918,f927(a918,a918),f921(x46521)),a317)),f318(f318(f9(f921(x46521),f927(f921(x46521),a920),f927(f921(x46521),a918)),f318(f318(f10(f927(a920,a918),f927(f927(f921(x46521),a920),f927(f921(x46521),a918)),f921(x46521)),f10(a920,a918,f921(x46521))),f318(f318(f10(a920,f927(a920,a918),f921(x46521)),f226(a920)),f180(f921(x46521))))),f180(f921(x46521)))))),f318(f318(f20(f921(x46521),f927(f921(x46521),a918),f927(f921(x46521),a918)),f318(f318(f10(f927(f921(x46521),f927(a918,a918)),f927(f927(f921(x46521),a918),f927(f921(x46521),a918)),f921(x46521)),f20(f921(x46521),a918,a918)),f318(f318(f10(f927(f921(x46521),a918),f927(f921(x46521),f927(a918,a918)),f921(x46521)),f318(f10(a918,f927(a918,a918),f921(x46521)),a316)),f318(f318(f9(f921(x46521),f927(f921(x46521),a920),f927(f921(x46521),a918)),f318(f318(f10(f927(a920,a918),f927(f927(f921(x46521),a920),f927(f921(x46521),a918)),f921(x46521)),f10(a920,a918,f921(x46521))),f318(f318(f10(a920,f927(a920,a918),f921(x46521)),a315),f180(f921(x46521))))),f180(f921(x46521)))))),f318(f318(f9(f921(x46521),f927(f926(f921(x46521),f921(x46521)),a918),f927(f921(x46521),a918)),f318(f318(f10(f927(f921(x46521),f927(f927(f926(f921(x46521),f921(x46521)),a918),a918)),f927(f927(f926(f921(x46521),f921(x46521)),a918),f927(f921(x46521),a918)),f921(x46521)),f9(f921(x46521),f927(f926(f921(x46521),f921(x46521)),a918),a918)),f318(f318(f10(f927(f921(x46521),f926(f921(x46521),f921(x46521))),f927(f921(x46521),f927(f927(f926(f921(x46521),f921(x46521)),a918),a918)),f921(x46521)),f318(f10(f926(f921(x46521),f921(x46521)),f927(f927(f926(f921(x46521),f921(x46521)),a918),a918),f921(x46521)),f320(f926(f921(x46521),f921(x46521))))),f243(f921(x46521),f921(x46521))))),f136(x46521,x46522)))))),f137(x46521,x46522))
% 202.84/202.76 [4330]E(f318(f318(f73(a1),f318(f318(f73(a1),f318(f318(f74(a1),x43301),x43302)),f318(f318(f74(a1),x43301),x43302))),x43302),f318(f318(f74(a1),f318(f318(f3(a1),f318(f318(f73(a1),x43301),x43301)),a88)),x43302))
% 202.84/202.76 [4431]E(f318(a95,f318(a82,f318(f276(f926(a920,a920),f926(a920,a920),a99),f318(f318(f300(f926(a920,a920)),f318(f318(f243(a920,a920),x44311),x44312)),f179(f927(f926(a920,a920),a918)))))),f318(f318(f3(a920),x44311),x44312))
% 202.84/202.76 [4435]E(f318(f318(f280(x44351,x44351,x44351),f318(f318(f101(f927(f926(x44351,x44351),a918)),x44352),f298(x44351,f179(f927(f926(x44351,x44351),a918))))),f298(x44351,f318(f318(f101(f927(f926(x44351,x44351),a918)),x44352),f298(x44351,f179(f927(f926(x44351,x44351),a918)))))),f298(x44351,x44352))
% 202.84/202.76 [4472]E(f259(x44721,f318(f127(f926(a90,x44721),f318(f248(a90,x44721,a918),f318(f318(f10(a918,f927(x44721,a918),a90),f18(a918,x44721)),f318(f226(a90),f2(a90))))),x44722)),f259(x44721,x44722))
% 202.84/202.76 [4473]E(f257(x44731,f318(f127(f926(a90,x44731),f318(f248(a90,x44731,a918),f318(f318(f10(a918,f927(x44731,a918),a90),f18(a918,x44731)),f318(f226(a90),f2(a90))))),x44732)),f257(x44731,x44732))
% 202.84/202.76 [4475]E(f318(f72(a1),f318(a82,f318(f276(f926(a920,a920),f926(a920,a920),a99),f318(f318(f300(f926(a920,a920)),f318(f318(f243(a920,a920),x44751),x44752)),f179(f927(f926(a920,a920),a918)))))),f318(a82,f318(f276(f926(a920,a920),f926(a920,a920),a99),f318(f318(f300(f926(a920,a920)),f318(f318(f243(a920,a920),x44752),x44751)),f179(f927(f926(a920,a920),a918))))))
% 202.84/202.76 [4531]E(f318(f318(f279(f921(a920),x45311),f136(a920,a231)),f318(f318(f9(x45311,f921(f927(x45311,a920)),f921(a920)),f318(f318(f10(f927(f927(x45311,a920),a920),f927(f921(f927(x45311,a920)),f921(a920)),x45311),f145(f927(x45311,a920),a920)),f318(f9(f927(x45311,a920),x45311,a920),f7(f927(x45311,a920))))),x45312)),f144(x45311,x45312))
% 202.84/202.76 [4552]E(f318(f318(f79(a1,a920),f318(f94(a1),f318(f318(f73(a1),x45521),a88))),f318(f318(f20(a1,a920,a920),f318(f318(f9(a1,a920,f927(a920,a920)),f318(f318(f10(a918,f927(a920,f927(a920,a920)),a1),f85(a920)),a184)),f2(a920))),f318(f318(f10(a920,a920,a1),a103),f318(f318(f10(a920,a920,a1),f318(f223(a920),x45522)),a95)))),f318(f318(f223(a920),f318(a103,x45522)),f318(f94(a920),x45521)))
% 202.84/202.76 [4553]E(f318(f318(f79(a1,a920),f318(f94(a1),f318(f318(f73(a1),x45531),a88))),f318(f318(f20(a1,a920,a920),f318(f318(f9(a1,a920,f927(a920,a920)),f318(f318(f10(a918,f927(a920,f927(a920,a920)),a1),f85(a920)),a184)),f318(a103,x45532))),f318(f318(f10(a920,a920,a1),a103),f318(f318(f10(a920,a920,a1),f318(f224(a920),x45532)),a95)))),f318(f318(f224(a920),f318(a103,x45532)),f318(f94(a920),x45531)))
% 202.84/202.76 [4573]E(f318(f133(f921(x45731),f921(x45731),f125(x45731),f104(x45731)),f318(f318(f145(f921(x45731),f921(x45731)),f147(f921(x45731),x45731,f104(x45731),f318(f318(f10(f921(x45731),f927(f921(x45731),f921(x45731)),x45731),f18(f921(x45731),f921(x45731))),f318(f318(f9(x45731,f921(x45731),f921(x45731)),f142(x45731)),f104(x45731))))),x45732)),f318(f318(f145(f921(x45731),x45731),f132(x45731)),f318(f127(f921(x45731),f318(f318(f10(a918,a918,f921(x45731)),a313),f318(f318(f9(f921(x45731),f921(x45731),a918),a315),f104(x45731)))),x45732)))
% 202.84/202.76 [4635]E(f318(f248(a1,a1,a918),f318(f318(f9(a1,f927(a1,a918),f927(a1,a918)),f318(f318(f10(f927(a1,f927(a918,a918)),f927(f927(a1,a918),f927(a1,a918)),a1),f20(a1,a918,a918)),f318(f318(f10(f927(a1,a918),f927(a1,f927(a918,a918)),a1),f318(f10(a918,f927(a918,a918),a1),a316)),f318(f318(f10(f927(a1,a1),f927(a1,a918),a1),f318(f10(a1,a918,a1),f318(a315,x46351))),f318(f318(f10(a1,f927(a1,a1),a1),f73(a1)),f318(f74(a1),x46352)))))),f318(f318(f20(a1,a918,a918),f318(f318(f10(a918,f927(a918,a918),a1),a316),f318(f318(f10(a918,a918,a1),f318(a321,f318(f318(f226(a1),f2(a1)),x46352))),f318(f318(f20(a1,a918,a918),f318(f318(f10(a918,f927(a918,a918),a1),a316),f318(f225(a1),f2(a1)))),f318(f318(f9(a1,a1,a918),f226(a1)),x46352))))),f318(f318(f10(a918,a918,a1),f318(a321,f318(a313,f318(f318(f226(a1),f2(a1)),x46352)))),f318(f318(f20(a1,a918,a918),f318(f318(f10(a918,f927(a918,a918),a1),a316),f318(f226(a1),x46352))),f318(f318(f9(a1,a1,a918),f225(a1)),f2(a1))))))),f43(x46351,x46352))
% 202.84/202.76 [4638]E(f318(f253(x46381),f318(f318(f10(f927(a920,a918),a918,x46381),f80(a920)),f318(f318(f9(x46381,f927(a920,a918),f927(a920,a918)),f318(f318(f10(f927(a920,f927(a918,a918)),f927(f927(a920,a918),f927(a920,a918)),x46381),f20(a920,a918,a918)),f318(f318(f10(f927(a920,a918),f927(a920,f927(a918,a918)),x46381),f318(f10(a918,f927(a918,a918),a920),a316)),f318(f318(f9(x46381,f927(a920,x46381),f927(a920,a918)),f318(f318(f10(f927(x46381,a918),f927(f927(a920,x46381),f927(a920,a918)),x46381),f10(x46381,a918,a920)),a315)),f318(f155(x46381),x46382))))),f318(f318(f9(a920,a920,a918),f226(a920)),f318(f180(f921(x46381)),x46382))))),f318(f163(x46381),x46382))
% 202.84/202.76 [4445]E(f318(f318(f3(a1),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),x44451),a88)),x44452)),f318(f318(f3(a1),f318(f318(f73(a1),x44451),a88)),x44452))),a88),f318(f318(f3(a1),f318(f318(f73(a1),x44451),x44451)),f318(f318(f3(a1),f318(f318(f73(a1),x44452),x44452)),a88)))
% 202.84/202.76 [4568]E(f318(f133(f921(f921(x45681)),f921(f921(x45681)),f125(f921(x45681)),f104(f921(x45681))),f318(f318(f145(f921(x45681),f921(f921(x45681))),f147(f921(f921(x45681)),x45681,f104(f921(x45681)),f318(f18(f927(f921(x45681),f921(f921(x45681))),x45681),f318(f318(f9(f921(x45681),f921(f921(x45681)),f921(f921(x45681))),f142(f921(x45681))),f104(f921(x45681)))))),x45682)),f318(f318(f145(f921(x45681),f921(x45681)),f162(x45681)),f318(f127(f921(x45681),f318(f318(f10(a918,a918,f921(x45681)),a313),f318(f318(f9(f921(x45681),f921(x45681),a918),a315),f104(x45681)))),x45682)))
% 202.84/202.76 [4578]E(f318(f318(f79(a1,a920),f318(f94(a1),f318(f318(f73(a1),x45781),a88))),f318(f318(f20(a1,a920,a920),f318(f318(f9(a1,a920,f927(a920,a920)),f318(f318(f10(a918,f927(a920,f927(a920,a920)),a1),f85(a920)),a184)),f2(a920))),f318(f318(f10(a920,a920,a1),a103),f318(f318(f9(a1,a920,a920),f318(f318(f10(a920,f927(a920,a920),a1),f223(a920)),a95)),x45782)))),f318(f318(f223(a920),f318(f94(a920),x45781)),f318(a103,x45782)))
% 202.84/202.76 [4579]E(f318(f318(f79(a1,a920),f318(f94(a1),f318(f318(f73(a1),x45791),a88))),f318(f318(f20(a1,a920,a920),f318(f318(f9(a1,a920,f927(a920,a920)),f318(f318(f10(a918,f927(a920,f927(a920,a920)),a1),f85(a920)),a184)),f318(a103,x45792))),f318(f318(f10(a920,a920,a1),a103),f318(f318(f9(a1,a920,a920),f318(f318(f10(a920,f927(a920,a920),a1),f224(a920)),a95)),x45792)))),f318(f318(f224(a920),f318(f94(a920),x45791)),f318(a103,x45792)))
% 202.84/202.76 [4567]E(f318(f248(x45671,x45671,a918),f318(f318(f20(x45671,a918,f927(x45671,a918)),f318(f318(f10(f927(x45671,f927(a918,a918)),f927(a918,f927(x45671,a918)),x45671),f9(x45671,a918,a918)),f318(f318(f10(f927(x45671,a918),f927(x45671,f927(a918,a918)),x45671),f318(f10(a918,f927(a918,a918),x45671),a316)),a315))),x45672)),f254(x45671,x45672))
% 202.84/202.76 [4612]E(f318(f318(f30(a920),x46121),f318(f318(f73(a920),f318(f94(a920),f318(f318(f3(a1),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88))),a88))),x46122)),f318(f318(f30(a920),x46121),f318(a103,f318(a103,f318(a103,x46122)))))
% 202.84/202.76 [4613]E(f39(a920,x46131,f318(f318(f73(a920),f318(f94(a920),f318(f318(f3(a1),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88))),a88))),x46132)),f39(a920,x46131,f318(a103,f318(a103,f318(a103,x46132)))))
% 202.84/202.76 [4614]E(f39(a920,f318(f318(f73(a920),f318(f94(a920),f318(f318(f3(a1),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88))),a88))),x46141),x46142),f39(a920,f318(a103,f318(a103,f318(a103,x46141))),x46142))
% 202.84/202.76 [4626]E(f114(f318(x46261,f318(f318(f74(a90),f318(f94(a90),f318(f318(f3(a1),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88))),a88))),x46262))),f318(f191(x46261),x46262))
% 202.84/202.76 [4627]E(f318(f318(f30(a920),f318(f318(f73(a920),f318(f94(a920),f318(f318(f3(a1),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88))),a88))),x46271)),x46272),f318(f318(f30(a920),f318(a103,f318(a103,f318(a103,x46271)))),x46272))
% 202.84/202.76 [4680]~E(f117(x46801,x46802,x46803),f110(x46801))
% 202.84/202.76 [3433]E(f318(f183(x34331,x34332),x34333),f112(x34331,x34332))
% 202.84/202.76 [3452]E(f318(f190(x34521,x34522),x34523),f318(f120(x34521),x34522))
% 202.84/202.76 [3528]E(f318(f318(f145(x35281,x35282),x35283),f104(x35281)),f104(x35282))
% 202.84/202.76 [3568]E(f318(f175(x35681,x35682,x35683),f2(a920)),x35682)
% 202.84/202.76 [3570]E(f318(f318(f172(x35701,x35702),x35703),f104(x35702)),f104(f926(x35701,x35702)))
% 202.84/202.76 [3585]E(f318(f180(f921(x35851)),f160(x35851,x35852,x35853)),x35852)
% 202.84/202.76 [3604]E(f78(x36041,f56(x36041,x36042,x36043)),f318(f57(x36041,x36042),x36043))
% 202.84/202.76 [3608]E(f234(x36081,x36082,f234(x36082,x36081,x36083)),x36083)
% 202.84/202.76 [3628]E(f318(f159(x36281),f160(x36281,x36282,x36283)),f160(x36281,x36282,x36283))
% 202.84/202.76 [3653]E(f131(x36531,x36532,f143(x36531,x36533)),f143(x36531,f131(x36531,x36532,x36533)))
% 202.84/202.76 [3672]E(f318(f242(f921(x36721),f921(x36721)),f157(x36721,x36722,x36723)),f318(f127(x36721,x36722),x36723))
% 202.84/202.76 [3715]E(f318(f318(f142(x37151),x37152),f160(x37151,x37153,x37152)),f160(x37151,f318(a103,x37153),x37152))
% 202.84/202.76 [3747]E(f176(x37471,x37472,x37473,f2(a920)),x37472)
% 202.84/202.76 [3748]E(f19(x37481,x37482,x37483,f2(a90)),x37482)
% 202.84/202.76 [3749]E(f21(x37491,x37492,x37493,f2(a90)),x37492)
% 202.84/202.76 [3756]E(f154(x37561,x37562,x37563,f104(x37561)),f104(x37562))
% 202.84/202.76 [3757]E(f121(x37571,x37572,x37573,f110(x37571)),f110(x37572))
% 202.84/202.76 [3763]E(f318(f318(f155(x37631),f318(f318(f142(x37631),x37632),x37633)),f2(a920)),x37632)
% 202.84/202.76 [3791]E(f53(x37911,x37912,f104(x37911),x37913),f104(f926(x37911,x37912)))
% 202.84/202.76 [3811]P25(x38111,x38112,x38113,f179(f927(x38111,a918)))
% 202.84/202.76 [3914]E(f256(x39141,x39142,x39143),f318(f243(f927(a90,f927(a918,f924(f922(x39141)))),f926(a90,a90)),f35(x39141)))
% 202.84/202.76 [3971]E(f318(f66(x39711,x39712,x39711,x39713),f25(x39711)),x39713)
% 202.84/202.76 [4146]P1(f318(f318(f320(f926(x41461,x41461)),f318(f318(f243(x41461,x41461),x41462),x41462)),f298(x41461,x41463)))
% 202.84/202.76 [4722]~P1(f318(f318(f320(f926(f921(x47221),f921(x47221))),f318(f318(f243(f921(x47221),f921(x47221)),x47222),f104(x47221))),f136(x47221,x47223)))
% 202.84/202.76 [4723]~P1(f318(f318(f320(f926(f921(x47231),f921(x47231))),f318(f318(f243(f921(x47231),f921(x47231)),x47232),f104(x47231))),f138(x47231,x47233)))
% 202.84/202.76 [4724]~P1(f318(f318(f320(f926(f921(x47241),f921(x47241))),f318(f318(f243(f921(x47241),f921(x47241)),x47242),f104(x47241))),f148(x47241,x47243)))
% 202.84/202.76 [4725]~P1(f318(f318(f320(f926(f921(x47251),f921(x47251))),f318(f318(f243(f921(x47251),f921(x47251)),f104(x47251)),x47252)),f136(x47251,x47253)))
% 202.84/202.76 [4726]~P1(f318(f318(f320(f926(f921(x47261),f921(x47261))),f318(f318(f243(f921(x47261),f921(x47261)),f104(x47261)),x47262)),f148(x47261,x47263)))
% 202.84/202.76 [3503]E(f318(f318(f192(x35031),x35032),x35033),f193(x35031,f206(x35032,x35033)))
% 202.84/202.76 [3556]E(f318(f277(x35561,x35562),f318(f277(x35562,x35561),x35563)),x35563)
% 202.84/202.76 [3580]E(f318(f318(f172(x35801,x35802),f104(x35801)),x35803),f104(f926(x35801,x35802)))
% 202.84/202.76 [3583]E(f167(x35831,x35832,f318(f273(a920),x35833)),f318(f318(f166(x35831),x35833),x35832))
% 202.84/202.76 [3601]E(f143(x36011,f318(f127(x36011,x36012),x36013)),f318(f127(x36011,x36012),f143(x36011,x36013)))
% 202.84/202.76 [3602]E(f318(f275(x36021,x36022),f318(f277(x36022,x36021),x36023)),f318(f255(x36022,x36021),x36023))
% 202.84/202.76 [3603]E(f318(f255(x36031,x36032),f318(f277(x36032,x36031),x36033)),f318(f275(x36032,x36031),x36033))
% 202.84/202.76 [3621]E(f318(f127(x36211,x36212),f318(f159(x36211),x36213)),f318(f159(x36211),f318(f127(x36211,x36212),x36213)))
% 202.84/202.76 [3633]E(f318(f318(f129(x36331),x36332),f318(f162(x36331),x36333)),f318(f318(f129(x36331),f318(a103,x36332)),x36333))
% 202.84/202.76 [3649]E(f318(f301(x36491,x36492,x36493),f179(f927(x36491,a918))),f179(f927(x36492,a918)))
% 202.84/202.76 [3650]E(f318(f276(x36501,x36502,x36503),f179(f927(x36501,a918))),f179(f927(x36502,a918)))
% 202.84/202.76 [3651]E(f318(f302(x36511,x36512,x36513),f233(f927(x36512,a918))),f233(f927(x36511,a918)))
% 202.84/202.76 [3652]E(f318(f302(x36521,x36522,x36523),f179(f927(x36522,a918))),f179(f927(x36521,a918)))
% 202.84/202.76 [3678]E(f111(x36781,f117(f922(x36781),x36782,x36783)),f107(x36781,x36782,f111(x36781,x36783)))
% 202.84/202.76 [3680]E(f318(f318(f300(x36801),x36802),f318(f163(x36801),x36803)),f318(f163(x36801),f131(x36801,x36802,x36803)))
% 202.84/202.76 [3767]E(f318(f301(f926(x37671,x37672),x37672,f247(x37671,x37672)),x37673),f318(f275(x37671,x37672),x37673))
% 202.84/202.76 [3768]E(f318(f301(f926(x37681,x37682),x37681,f242(x37681,x37682)),x37683),f318(f255(x37681,x37682),x37683))
% 202.84/202.76 [3783]E(f318(f163(x37831),f160(x37831,f318(a103,x37832),x37833)),f318(f318(f300(x37831),x37833),f179(f927(x37831,a918))))
% 202.84/202.76 [3840]E(f318(f318(f243(x38401,x38402),f318(f242(x38401,x38402),x38403)),f318(f247(x38401,x38402),x38403)),x38403)
% 202.84/202.76 [3848]E(f318(f180(f922(x38481)),f117(x38481,x38482,x38483)),f318(f318(f73(a920),f318(f180(f922(x38481)),x38483)),f318(a103,f2(a920))))
% 202.84/202.76 [3850]E(f318(f318(f248(x38501,x38502,x38501),f18(x38501,x38502)),x38503),f318(f242(x38501,x38502),x38503))
% 202.84/202.76 [3976]E(f318(f66(x39761,x39761,x39762,f25(x39761)),x39763),x39763)
% 202.84/202.76 [3983]E(f318(f318(f125(x39831),f160(x39831,x39832,x39833)),f318(f318(f142(x39831),x39833),f104(x39831))),f318(f318(f142(x39831),x39833),f160(x39831,x39832,x39833)))
% 202.84/202.76 [4155]P1(f318(f318(f225(f927(x41551,a918)),f318(f163(x41551),f318(f127(x41551,x41552),x41553))),f318(f163(x41551),x41553)))
% 202.84/202.76 [4197]P1(f318(f318(f225(f927(x41971,a918)),f318(f163(x41971),f318(f318(f166(x41971),x41972),x41973))),f318(f163(x41971),x41973)))
% 202.84/202.76 [4198]P1(f318(f318(f225(f927(x41981,a918)),f318(f163(x41981),f318(f318(f129(x41981),x41982),x41983))),f318(f163(x41981),x41983)))
% 202.84/202.76 [4202]P1(f318(f318(f225(f927(x42021,a918)),f318(f163(x42021),f167(x42021,x42022,x42023))),f318(f163(x42021),x42022)))
% 202.84/202.76 [4203]P1(f318(f318(f225(f927(x42031,a918)),f318(f163(x42031),f161(x42031,x42032,x42033))),f318(f163(x42031),x42033)))
% 202.84/202.76 [4224]P25(f926(x42241,x42242),f926(x42242,x42241),f318(f248(x42241,x42242,f926(x42242,x42241)),f318(f9(x42242,x42241,f926(x42242,x42241)),f243(x42242,x42241))),x42243)
% 202.84/202.76 [4235]E(f318(f318(f318(f174(f921(x42351),f921(x42351)),f39(a920,x42352,f318(f180(f921(x42351)),x42353))),f158(x42351)),x42353),f318(f318(f318(f174(f921(x42351),f921(x42351)),x42352),f158(x42351)),x42353))
% 202.84/202.76 [4279]P1(f318(f318(f320(f926(f921(x42791),f921(x42791))),f318(f318(f243(f921(x42791),f921(x42791)),x42792),x42792)),f149(x42791,f298(x42791,x42793))))
% 202.84/202.76 [4418]E(f78(f926(x44181,x44182),f318(f318(f20(f926(x44181,x44182),x44182,a918),f318(f318(f10(x44181,f927(x44182,a918),f926(x44181,x44182)),x44183),f242(x44181,x44182))),f247(x44181,x44182))),f78(f926(x44181,x44182),f318(f248(x44181,x44182,a918),x44183)))
% 202.84/202.76 [4419]E(f83(f926(x44191,x44192),f318(f318(f20(f926(x44191,x44192),x44192,a918),f318(f318(f10(x44191,f927(x44192,a918),f926(x44191,x44192)),x44193),f242(x44191,x44192))),f247(x44191,x44192))),f83(f926(x44191,x44192),f318(f248(x44191,x44192,a918),x44193)))
% 202.84/202.76 [4452]E(f318(f318(f279(f926(a920,x44521),x44521),f311(a920,x44521,a231,x44522)),f318(f318(f20(x44521,x44521,f926(a920,x44521)),f318(f318(f10(a920,f927(x44521,f926(a920,x44521)),x44521),f243(a920,x44521)),x44523)),f7(x44521))),f312(x44521,x44523,x44522))
% 202.84/202.76 [4514]E(f318(f249(x45141,x45141,x45142,x45142,f7(x45141),f7(x45142)),x45143),x45143)
% 202.84/202.76 [4587]E(f318(f133(f921(f921(x45871)),f921(f921(x45871)),f125(f921(x45871)),f104(f921(x45871))),f318(f318(f145(f921(x45871),f921(f921(x45871))),f318(f318(f9(f921(x45871),f921(x45871),f921(f921(x45871))),f318(f318(f10(f927(x45871,f921(x45871)),f927(f921(x45871),f921(f921(x45871))),f921(x45871)),f145(x45871,f921(x45871))),f318(f9(x45871,f921(x45871),f921(x45871)),f142(x45871)))),x45872)),f49(x45871,x45873,x45872))),f49(x45871,f318(a103,x45873),x45872))
% 202.84/202.76 [4643]E(f214(a920,f926(x46431,f922(x46431)),f2(a920),f318(f248(x46431,f922(x46431),a920),f318(f318(f9(x46431,a920,f927(f922(x46431),a920)),f318(f318(f10(f927(f922(x46431),f927(a920,a920)),f927(a920,f927(f922(x46431),a920)),x46431),f9(f922(x46431),a920,a920)),f318(f318(f10(f927(f922(x46431),a920),f927(f922(x46431),f927(a920,a920)),x46431),f318(f10(a920,f927(a920,a920),f922(x46431)),f73(a920))),f318(f318(f9(x46431,f927(f922(x46431),a920),f927(f922(x46431),a920)),f318(f318(f10(f927(a920,a920),f927(f927(f922(x46431),a920),f927(f922(x46431),a920)),x46431),f10(a920,a920,f922(x46431))),f318(f318(f10(a920,f927(a920,a920),x46431),f73(a920)),x46432))),f116(x46431,x46432))))),f71(a920))),f318(f126(x46431),x46433)),f318(f116(x46431,x46432),x46433))
% 202.84/202.76 [4651]E(f318(f318(f79(a1,x46511),f209(f318(f318(f66(f926(a1,a1),a1,x46511,f247(a1,a1)),f203(x46511)),x46512),f318(f318(f66(f926(a1,a1),a1,x46511,f247(a1,a1)),f203(x46511)),x46513))),f318(f318(f20(a1,a1,x46511),f318(f318(f10(a1,f927(a1,x46511),a1),f192(x46511)),f318(f318(f20(a1,a1,a1),f318(f318(f10(a1,f927(a1,a1),a1),f73(a1)),f318(f318(f10(a1,a1,a1),f318(f74(a1),f318(f318(f66(f926(a1,a1),a1,x46511,f242(a1,a1)),f203(x46511)),x46512))),f318(f318(f9(a1,a1,a1),f30(a1)),f318(f318(f66(f926(a1,a1),a1,x46511,f247(a1,a1)),f203(x46511)),x46512))))),f318(f318(f10(a1,a1,a1),f318(f74(a1),f318(f318(f66(f926(a1,a1),a1,x46511,f242(a1,a1)),f203(x46511)),x46513))),f318(f318(f9(a1,a1,a1),f30(a1)),f318(f318(f66(f926(a1,a1),a1,x46511,f247(a1,a1)),f203(x46511)),x46513)))))),f7(a1))),f221(x46511,x46512,x46513))
% 202.84/202.76 [4675]~E(f318(f318(f142(x46751),x46752),x46753),x46753)
% 202.84/202.76 [4678]~E(f318(f318(f142(x46781),x46782),x46783),f104(x46781))
% 202.84/202.76 [4684]~E(f318(f318(f300(x46841),x46842),x46843),f179(f927(x46841,a918)))
% 202.84/202.76 [4704]~E(f318(f301(x47041,f927(x47041,a918),x47042),x47043),f318(f299(x47041),x47043))
% 202.84/202.76 [3561]E(f318(f318(f150(x35611,f104(x35611)),x35612),x35613),f104(x35611))
% 202.84/202.76 [3563]E(f318(f132(x35631),f318(f318(f142(x35631),x35632),x35633)),x35632)
% 202.84/202.76 [3564]E(f318(f162(x35641),f318(f318(f142(x35641),x35642),x35643)),x35643)
% 202.84/202.76 [3607]E(f318(f318(f129(x36071),f71(a920)),f318(f318(f142(x36071),x36072),x36073)),x36073)
% 202.84/202.76 [3640]E(f105(x36401,f318(f318(f129(x36401),x36402),x36403)),f318(f318(f129(x36401),x36402),f105(x36401,x36403)))
% 202.84/202.76 [3642]E(f318(f318(f150(x36421,x36422),x36423),f318(f318(f155(x36421),x36422),x36423)),x36422)
% 202.84/202.76 [3662]E(f318(f318(f300(x36621),x36622),f318(f318(f300(x36621),x36622),x36623)),f318(f318(f300(x36621),x36622),x36623))
% 202.84/202.76 [3675]E(f318(f318(f300(x36751),x36752),f318(f163(x36751),x36753)),f318(f163(x36751),f318(f318(f142(x36751),x36752),x36753)))
% 202.84/202.76 [3677]E(f318(f318(f129(x36771),x36772),f318(f162(x36771),x36773)),f318(f162(x36771),f318(f318(f129(x36771),x36772),x36773)))
% 202.84/202.76 [3689]E(f318(f318(f166(x36891),f71(a920)),f318(f318(f142(x36891),x36892),x36893)),f318(f318(f142(x36891),x36892),f104(x36891)))
% 202.84/202.76 [3732]E(f318(f57(x37321,x37322),f318(f318(f300(x37321),x37323),f179(f927(x37321,a918)))),x37323)
% 202.84/202.76 [3773]E(f318(f318(f73(a920),x37731),f318(f318(f73(a920),x37732),x37733)),f318(f318(f73(a920),x37732),f318(f318(f73(a920),x37731),x37733)))
% 202.84/202.76 [3774]E(f318(f318(f73(a1),x37741),f318(f318(f73(a1),x37742),x37743)),f318(f318(f73(a1),x37742),f318(f318(f73(a1),x37741),x37743)))
% 202.84/202.76 [3779]E(f318(f318(f245(x37791,x37792),f179(f927(x37791,a918))),x37793),f179(f927(f926(x37791,x37792),a918)))
% 202.84/202.76 [3803]E(f318(f318(f92(f927(x38031,a918)),x38032),x38033),f318(f318(f92(f927(x38031,a918)),x38033),x38032))
% 202.84/202.76 [3804]E(f318(f318(f101(f927(x38041,a918)),x38042),x38043),f318(f318(f101(f927(x38041,a918)),x38043),x38042))
% 202.84/202.76 [3806]E(f318(f318(f125(x38061),x38062),f318(f318(f142(x38061),x38063),f104(x38061))),f318(f158(x38061),f318(f318(f142(x38061),x38063),x38062)))
% 202.84/202.76 [3807]E(f318(f318(f125(x38071),f318(f159(x38071),x38072)),f318(f159(x38071),x38073)),f318(f159(x38071),f318(f318(f125(x38071),x38073),x38072)))
% 202.84/202.76 [3817]E(f318(f162(x38171),f318(f318(f166(x38171),f318(a103,x38172)),x38173)),f318(f318(f166(x38171),x38172),f318(f162(x38171),x38173)))
% 202.84/202.76 [3825]P1(f318(f318(f320(x38251),x38252),f318(f318(f300(x38251),x38252),x38253)))
% 202.84/202.76 [3829]E(f318(f318(f34(x38291,f927(x38292,a918)),f179(f927(x38291,a918))),x38293),f233(f927(x38292,a918)))
% 202.84/202.76 [3832]E(f318(f276(x38321,x38321,f254(x38321,x38322)),x38323),f318(f318(f92(f927(x38321,a918)),x38322),x38323))
% 202.84/202.76 [3847]E(f318(f180(f921(x38471)),f318(f318(f142(x38471),x38472),x38473)),f318(f318(f73(a920),f318(f180(f921(x38471)),x38473)),f318(a103,f2(a920))))
% 202.84/202.76 [3852]E(f105(x38521,f318(f318(f125(x38521),x38522),f318(f318(f142(x38521),x38523),f104(x38521)))),x38522)
% 202.84/202.76 [3853]E(f135(x38531,f318(f318(f125(x38531),x38532),f318(f318(f142(x38531),x38533),f104(x38531)))),x38533)
% 202.84/202.76 [3861]E(f318(f318(f125(x38611),f318(f318(f166(x38611),x38612),x38613)),f318(f318(f129(x38611),x38612),x38613)),x38613)
% 202.84/202.76 [3870]E(f318(f318(f3(a920),f318(f318(f73(a920),x38701),x38702)),f318(f318(f73(a920),x38703),x38702)),f318(f318(f3(a920),x38701),x38703))
% 202.84/202.76 [3871]E(f318(f318(f3(a920),f318(f318(f73(a920),x38711),x38712)),f318(f318(f73(a920),x38711),x38713)),f318(f318(f3(a920),x38712),x38713))
% 202.84/202.76 [3877]E(f318(f318(f125(x38771),f318(f159(x38771),x38772)),f318(f318(f142(x38771),x38773),f104(x38771))),f318(f159(x38771),f318(f318(f142(x38771),x38773),x38772)))
% 202.84/202.76 [3879]E(f318(f318(f73(a920),f318(f180(f921(x38791)),x38792)),f318(f180(f921(x38791)),x38793)),f318(f180(f921(x38791)),f318(f318(f125(x38791),x38792),x38793)))
% 202.84/202.76 [3882]E(f318(f318(f73(a920),f318(f180(f921(x38821)),x38822)),f318(f180(f921(x38821)),x38823)),f318(f180(f921(x38821)),f164(x38821,x38822,x38823)))
% 202.84/202.76 [3889]E(f318(f318(f101(f927(x38891,a918)),f318(f163(x38891),x38892)),f318(f163(x38891),x38893)),f318(f163(x38891),f318(f318(f125(x38891),x38892),x38893)))
% 202.84/202.76 [3890]E(f39(a920,f318(f318(f74(a920),x38901),x38902),f318(f318(f74(a920),x38901),x38903)),f318(f318(f74(a920),x38901),f39(a920,x38902,x38903)))
% 202.84/202.76 [3902]E(f318(f318(f166(x39021),f318(f318(f3(a920),x39022),f71(a920))),f318(f162(x39021),x39023)),f318(f162(x39021),f318(f318(f166(x39021),x39022),x39023)))
% 202.84/202.76 [3907]E(f318(f318(f92(f927(x39071,a918)),x39072),f318(f72(f927(x39071,a918)),x39073)),f318(f318(f3(f927(x39071,a918)),x39072),x39073))
% 202.84/202.76 [3908]E(f318(f318(f3(f927(x39081,a918)),x39082),f318(f72(f927(x39081,a918)),x39083)),f318(f318(f92(f927(x39081,a918)),x39082),x39083))
% 202.84/202.76 [3930]E(f318(f318(f245(x39301,x39302),x39303),f318(f18(f927(x39302,a918),x39301),f179(f927(x39302,a918)))),f179(f927(f926(x39301,x39302),a918)))
% 202.84/202.76 [3932]E(f318(f318(f3(a920),f318(f318(f74(a920),x39321),x39322)),f318(f318(f74(a920),x39321),x39323)),f318(f318(f74(a920),x39321),f318(f318(f3(a920),x39322),x39323)))
% 202.84/202.76 [3933]E(f318(f318(f73(a920),f318(f318(f74(a920),x39331),x39332)),f318(f318(f74(a920),x39331),x39333)),f318(f318(f74(a920),x39331),f318(f318(f73(a920),x39332),x39333)))
% 202.84/202.76 [3934]E(f318(f318(f3(a1),f318(f318(f74(a1),x39341),x39342)),f318(f318(f74(a1),x39341),x39343)),f318(f318(f74(a1),x39341),f318(f318(f3(a1),x39342),x39343)))
% 202.84/202.76 [3935]E(f318(f318(f73(a1),f318(f318(f74(a1),x39351),x39352)),f318(f318(f74(a1),x39351),x39353)),f318(f318(f74(a1),x39351),f318(f318(f73(a1),x39352),x39353)))
% 202.84/202.76 [3936]E(f318(f318(f74(a1),f318(f318(f235(a1),x39361),x39362)),f318(f318(f235(a1),x39361),x39363)),f318(f318(f235(a1),x39361),f318(f318(f73(a920),x39362),x39363)))
% 202.84/202.76 [3950]E(f318(f318(f33(x39501,f927(x39502,a918)),x39503),f318(f18(f927(x39502,a918),x39501),f179(f927(x39502,a918)))),f179(f927(x39502,a918)))
% 202.84/202.76 [3952]E(f39(a920,f318(f318(f74(a920),x39521),x39522),f318(f318(f74(a920),x39523),x39522)),f318(f318(f74(a920),f39(a920,x39521,x39523)),x39522))
% 202.84/202.76 [3957]E(f39(a1,f318(f318(f3(a1),x39571),f39(a1,x39572,x39573)),x39573),f39(a1,f318(f318(f3(a1),x39571),x39572),x39573))
% 202.84/202.76 [3958]E(f39(a1,f318(f318(f74(a1),x39581),f39(a1,x39582,x39583)),x39583),f39(a1,f318(f318(f74(a1),x39581),x39582),x39583))
% 202.84/202.76 [3959]P1(f318(f318(f225(f927(x39591,a918)),x39592),f318(f318(f300(x39591),x39593),x39592)))
% 202.84/202.76 [4034]E(f318(f318(f33(f927(x40341,a918),f927(x40341,a918)),x40342),f318(f92(f927(x40341,a918)),x40343)),f318(f318(f92(f927(x40341,a918)),x40343),f31(f927(x40341,a918),x40342)))
% 202.84/202.76 [4035]E(f318(f318(f34(f927(x40351,a918),f927(x40351,a918)),x40352),f318(f101(f927(x40351,a918)),x40353)),f318(f318(f101(f927(x40351,a918)),x40353),f32(f927(x40351,a918),x40352)))
% 202.84/202.76 [4047]E(f318(f163(x40471),f318(f318(f318(f174(f921(x40471),f921(x40471)),x40472),f158(x40471)),x40473)),f318(f163(x40471),x40473))
% 202.84/202.76 [4051]E(f318(f318(f166(x40511),f318(f180(f921(x40511)),f168(x40511,x40512,x40513))),x40513),f168(x40511,x40512,x40513))
% 202.84/202.76 [4055]E(f318(f180(f921(x40551)),f318(f318(f318(f174(f921(x40551),f921(x40551)),x40552),f158(x40551)),x40553)),f318(f180(f921(x40551)),x40553))
% 202.84/202.76 [4058]E(f318(f318(f248(x40581,x40582,x40582),f318(f18(f927(x40582,x40582),x40581),f7(x40582))),x40583),f318(f247(x40581,x40582),x40583))
% 202.84/202.76 [4064]E(f39(a1,f318(f318(f3(a1),f39(a1,x40641,x40642)),x40643),x40642),f39(a1,f318(f318(f3(a1),x40641),x40643),x40642))
% 202.84/202.76 [4065]E(f39(a1,f318(f318(f235(a1),f39(a1,x40651,x40652)),x40653),x40652),f39(a1,f318(f318(f235(a1),x40651),x40653),x40652))
% 202.84/202.76 [4068]E(f318(f318(f33(f927(f926(x40681,x40682),a918),f927(x40682,a918)),x40683),f275(x40681,x40682)),f318(f275(x40681,x40682),f31(f927(f926(x40681,x40682),a918),x40683)))
% 202.84/202.76 [4069]E(f318(f318(f33(f927(f926(x40691,x40692),a918),f927(x40691,a918)),x40693),f255(x40691,x40692)),f318(f255(x40691,x40692),f31(f927(f926(x40691,x40692),a918),x40693)))
% 202.84/202.76 [4092]E(f318(f66(x40921,x40921,x40921,x40922),f318(f318(f174(x40921,x40921),x40923),x40922)),f318(f318(f174(x40921,x40921),f318(a103,x40923)),x40922))
% 202.84/202.76 [4110]E(f318(f318(f129(x41101),f318(f318(f3(a920),f318(f180(f921(x41101)),x41102)),x41103)),f318(f159(x41101),x41102)),f318(f159(x41101),f318(f318(f166(x41101),x41103),x41102)))
% 202.84/202.76 [4111]E(f318(f318(f166(x41111),f318(f318(f3(a920),f318(f180(f921(x41111)),x41112)),x41113)),f318(f159(x41111),x41112)),f318(f159(x41111),f318(f318(f129(x41111),x41113),x41112)))
% 202.84/202.76 [4113]E(f318(f318(f73(a920),f318(f156(a920),f318(f318(f145(x41131,a920),x41132),x41133))),f318(f180(f921(x41131)),x41133)),f146(x41131,x41132,x41133))
% 202.84/202.76 [4133]E(f318(f158(x41331),f318(f318(f318(f174(f921(x41331),f921(x41331)),x41332),f158(x41331)),x41333)),f318(f318(f318(f174(f921(x41331),f921(x41331)),f318(a103,x41332)),f158(x41331)),x41333))
% 202.84/202.76 [4147]P1(f318(f318(f225(a920),f318(f180(f921(x41471)),f318(f127(x41471,x41472),x41473))),f318(f180(f921(x41471)),x41473)))
% 202.84/202.76 [4163]E(f318(f318(f101(f927(f927(x41631,a918),a918)),f318(f299(x41631),x41632)),f318(f301(f927(x41631,a918),f927(x41631,a918),f318(f300(x41631),x41633)),f318(f299(x41631),x41632))),f318(f299(x41631),f318(f318(f300(x41631),x41633),x41632)))
% 202.84/202.76 [4194]P1(f318(f318(f225(a920),f318(f180(f921(x41941)),f168(x41941,x41942,x41943))),f318(f180(f921(x41941)),x41943)))
% 202.84/202.76 [4201]E(f318(f255(x42011,x42012),f318(f253(f926(x42011,x42012)),f318(f248(x42011,x42012,a918),x42013))),f318(f253(x42011),f318(f318(f10(f927(x42012,a918),a918,x42011),f80(x42012)),x42013)))
% 202.84/202.76 [4213]E(f318(f301(a920,a920,f318(f318(f9(a920,a920,a920),f73(a920)),x42131)),f294(a920,x42132,x42133)),f294(a920,f318(f318(f73(a920),x42132),x42131),f318(f318(f73(a920),x42133),x42131)))
% 202.84/202.76 [4227]E(f318(f301(a920,a920,f318(f318(f9(a920,a920,a920),f73(a920)),x42271)),f318(f293(a920,x42272),x42273)),f318(f293(a920,f318(f318(f73(a920),x42272),x42271)),f318(f318(f73(a920),x42273),x42271)))
% 202.84/202.76 [4245]E(f318(f318(f172(x42451,x42452),f318(f318(f145(f926(x42451,x42452),x42451),f242(x42451,x42452)),x42453)),f318(f318(f145(f926(x42451,x42452),x42452),f247(x42451,x42452)),x42453)),x42453)
% 202.84/202.76 [4250]E(f318(f318(f73(a920),f318(f318(f74(a920),x42501),f39(a920,f318(f318(f30(a920),x42502),x42501),x42503))),f39(a920,x42502,x42501)),f39(a920,x42502,f318(f318(f74(a920),x42501),x42503)))
% 202.84/202.76 [4263]E(f318(f318(f125(x42631),x42632),f318(f133(f921(x42631),f921(x42631),f125(x42631),f104(x42631)),x42633)),f318(f133(f921(x42631),f921(x42631),f125(x42631),x42632),x42633))
% 202.84/202.76 [4284]P1(f318(f318(f320(f926(x42841,x42841)),f318(f318(f243(x42841,x42841),x42842),x42842)),f318(f318(f174(f926(x42841,x42841),a918),f2(a920)),x42843)))
% 202.84/202.76 [4289]E(f318(f253(x42891),f318(f318(f10(f927(x42892,a918),a918,x42891),f80(x42892)),f318(f9(x42892,x42891,a918),x42893))),f318(f275(x42892,x42891),f318(f253(f926(x42892,x42891)),f318(f248(x42892,x42891,a918),x42893))))
% 202.84/202.76 [4306]E(f318(f318(f101(f927(x43061,a918)),f318(f318(f33(a920,f927(x43061,a918)),f294(a920,f71(a920),x43062)),x43063)),f318(x43063,f2(a920))),f318(f318(f33(a920,f927(x43061,a918)),f318(f292(a920),x43062)),x43063))
% 202.84/202.76 [4321]E(f318(f133(f921(x43211),f921(x43211),f125(x43211),f104(x43211)),f318(f318(f145(f921(x43211),f921(x43211)),f127(x43211,x43212)),x43213)),f318(f127(x43211,x43212),f318(f133(f921(x43211),f921(x43211),f125(x43211),f104(x43211)),x43213)))
% 202.84/202.76 [4325]E(f318(f247(f921(x43251),f921(x43251)),f157(x43251,x43252,x43253)),f318(f127(x43251,f318(f66(a918,a918,x43251,a313),x43252)),x43253))
% 202.84/202.76 [4370]E(f318(f318(f73(a1),f318(f318(f73(a1),f318(f318(f74(a1),x43701),f318(f318(f30(a1),x43702),x43701))),f39(a1,x43702,x43701))),x43703),f318(f318(f73(a1),x43702),x43703))
% 202.84/202.76 [4407]E(f318(f318(f73(a1),f318(f318(f73(a1),f318(f318(f74(a1),f318(f318(f30(a1),x44071),x44072)),x44072)),f39(a1,x44071,x44072))),x44073),f318(f318(f73(a1),x44071),x44073))
% 202.84/202.76 [4433]E(f78(f926(x44331,x44332),f318(f248(x44331,x44332,a918),f318(f318(f10(f927(x44332,f926(x44331,x44332)),f927(x44332,a918),x44331),f318(f10(f926(x44331,x44332),a918,x44332),x44333)),f243(x44331,x44332)))),f78(f926(x44331,x44332),x44333))
% 202.84/202.76 [4434]E(f83(f926(x44341,x44342),f318(f248(x44341,x44342,a918),f318(f318(f10(f927(x44342,f926(x44341,x44342)),f927(x44342,a918),x44341),f318(f10(f926(x44341,x44342),a918,x44342),x44343)),f243(x44341,x44342)))),f83(f926(x44341,x44342),x44343))
% 202.84/202.76 [4461]P1(f318(f318(f225(f927(x44611,a918)),f31(f927(x44611,a918),f318(f318(f92(f927(f927(x44611,a918),a918)),x44612),x44613))),f318(f318(f92(f927(x44611,a918)),f31(f927(x44611,a918),x44612)),f31(f927(x44611,a918),x44613))))
% 202.84/202.76 [4462]E(f318(f159(x44621),f318(f318(f318(f174(f921(x44621),f921(x44621)),f318(f318(f3(a920),f318(f180(f921(x44621)),x44622)),f39(a920,x44623,f318(f180(f921(x44621)),x44622)))),f158(x44621)),x44622)),f318(f318(f318(f174(f921(x44621),f921(x44621)),x44623),f158(x44621)),f318(f159(x44621),x44622)))
% 202.84/202.76 [4499]P1(f318(f318(f225(a920),f318(f180(f921(x44991)),f318(f318(f129(x44991),f318(f180(f921(x44991)),f168(x44991,x44992,x44993))),x44993))),f318(f180(f921(x44991)),x44993)))
% 202.84/202.76 [4716]~P1(f318(f56(x47161,x47162,f179(f927(x47161,a918))),x47163))
% 202.84/202.76 [4721]~P1(f318(f318(f320(f926(x47211,x47211)),f318(f318(f243(x47211,x47211),x47212),x47213)),f144(x47211,f104(f927(x47211,a920)))))
% 202.84/202.76 [3818]E(f318(f180(f921(x38181)),f318(f318(f166(x38181),x38182),x38183)),f318(f318(f223(a920),f318(f180(f921(x38181)),x38183)),x38182))
% 202.84/202.76 [3819]E(f318(f180(f921(x38191)),f318(f318(f129(x38191),x38192),x38193)),f318(f318(f3(a920),f318(f180(f921(x38191)),x38193)),x38192))
% 202.84/202.76 [3846]E(f318(f180(f921(f921(x38461))),f49(x38461,x38462,x38463)),f318(f318(f235(a920),f318(f180(f921(x38461)),x38463)),x38462))
% 202.84/202.76 [3863]E(f318(f318(f30(a920),f318(f318(f30(a920),x38631),x38632)),x38633),f318(f318(f30(a920),x38631),f318(f318(f74(a920),x38632),x38633)))
% 202.84/202.76 [3864]E(f318(f318(f3(a920),f318(f318(f3(a920),x38641),x38642)),x38643),f318(f318(f3(a920),x38641),f318(f318(f73(a920),x38642),x38643)))
% 202.84/202.76 [3865]E(f318(f318(f74(a920),f318(f318(f74(a920),x38651),x38652)),x38653),f318(f318(f74(a920),x38651),f318(f318(f74(a920),x38652),x38653)))
% 202.84/202.76 [3866]E(f318(f318(f74(a1),f318(f318(f74(a1),x38661),x38662)),x38663),f318(f318(f74(a1),x38661),f318(f318(f74(a1),x38662),x38663)))
% 202.84/202.76 [3867]E(f318(f318(f73(a920),f318(f318(f73(a920),x38671),x38672)),x38673),f318(f318(f73(a920),x38671),f318(f318(f73(a920),x38672),x38673)))
% 202.84/202.76 [3868]E(f318(f318(f73(a1),f318(f318(f73(a1),x38681),x38682)),x38683),f318(f318(f73(a1),x38681),f318(f318(f73(a1),x38682),x38683)))
% 202.84/202.76 [3869]E(f318(f318(f235(a1),f318(f318(f235(a1),x38691),x38692)),x38693),f318(f318(f235(a1),x38691),f318(f318(f74(a920),x38692),x38693)))
% 202.84/202.76 [3888]E(f153(x38881,f318(f318(f142(f927(x38881,a918)),x38882),x38883)),f165(x38881,x38882,f153(x38881,x38883)))
% 202.84/202.76 [3931]E(f318(f318(f3(a920),f318(f318(f3(a920),x39311),x39312)),x39313),f318(f318(f3(a920),f318(f318(f3(a920),x39311),x39313)),x39312))
% 202.84/202.76 [3939]E(f318(f318(f92(f927(x39391,a918)),x39392),f318(f318(f3(f927(x39391,a918)),x39393),x39392)),f179(f927(x39391,a918)))
% 202.84/202.76 [3943]E(f318(f318(f145(a920,x39431),f318(f18(x39431,a920),x39432)),f130(a920,f318(f293(a920,f2(a920)),x39433))),f160(x39431,x39433,x39432))
% 202.84/202.76 [3981]E(f32(f927(x39811,a918),f318(f318(f300(f927(x39811,a918)),x39812),x39813)),f318(f318(f92(f927(x39811,a918)),x39812),f32(f927(x39811,a918),x39813)))
% 202.84/202.76 [3982]E(f31(f927(x39821,a918),f318(f318(f300(f927(x39821,a918)),x39822),x39823)),f318(f318(f101(f927(x39821,a918)),x39822),f31(f927(x39821,a918),x39823)))
% 202.84/202.76 [3984]E(f160(x39841,f318(f180(f921(x39841)),f318(f127(x39841,f318(a315,x39842)),x39843)),x39842),f318(f127(x39841,f318(a315,x39842)),x39843))
% 202.84/202.76 [3986]E(f318(f318(f3(a920),f318(f318(f74(a920),x39861),x39862)),f318(f318(f74(a920),x39863),x39862)),f318(f318(f74(a920),f318(f318(f3(a920),x39861),x39863)),x39862))
% 202.84/202.76 [3987]E(f318(f318(f73(a920),f318(f318(f74(a920),x39871),x39872)),f318(f318(f74(a920),x39873),x39872)),f318(f318(f74(a920),f318(f318(f73(a920),x39871),x39873)),x39872))
% 202.84/202.76 [3988]E(f318(f318(f3(a1),f318(f318(f74(a1),x39881),x39882)),f318(f318(f74(a1),x39883),x39882)),f318(f318(f74(a1),f318(f318(f3(a1),x39881),x39883)),x39882))
% 202.84/202.76 [3989]E(f318(f318(f73(a1),f318(f318(f74(a1),x39891),x39892)),f318(f318(f74(a1),x39893),x39892)),f318(f318(f74(a1),f318(f318(f73(a1),x39891),x39893)),x39892))
% 202.84/202.76 [3991]E(f318(f318(f223(a920),f318(f318(f3(a920),x39911),x39912)),f318(f318(f3(a920),x39913),x39912)),f318(f318(f3(a920),f318(f318(f223(a920),x39911),x39913)),x39912))
% 202.84/202.76 [4011]E(f318(f318(f92(f927(f921(x40111),a918)),f151(x40111,x40112)),f151(x40111,x40113)),f151(x40111,f318(f318(f92(f927(x40111,a918)),x40112),x40113)))
% 202.84/202.76 [4014]E(f318(f318(f92(f927(x40141,a918)),x40142),f318(f318(f92(f927(x40141,a918)),x40142),x40143)),f318(f318(f92(f927(x40141,a918)),x40142),x40143))
% 202.84/202.76 [4015]E(f318(f318(f101(f927(x40151,a918)),x40152),f318(f318(f101(f927(x40151,a918)),x40152),x40153)),f318(f318(f101(f927(x40151,a918)),x40152),x40153))
% 202.84/202.76 [4016]E(f318(f318(f101(f927(x40161,a918)),x40162),f318(f318(f3(f927(x40161,a918)),x40163),x40162)),f318(f318(f101(f927(x40161,a918)),x40162),x40163))
% 202.84/202.76 [4028]E(f318(f318(f280(x40281,x40282,x40282),x40283),f298(x40282,f179(f927(f926(x40282,x40282),a918)))),x40283)
% 202.84/202.76 [4031]E(f318(f318(f101(f927(x40311,a918)),f318(f318(f300(x40311),x40312),f179(f927(x40311,a918)))),x40313),f318(f318(f300(x40311),x40312),x40313))
% 202.84/202.76 [4050]E(f318(f318(f3(a920),f318(f318(f3(a920),f318(a103,x40501)),x40502)),f318(a103,x40503)),f318(f318(f3(a920),f318(f318(f3(a920),x40501),x40502)),x40503))
% 202.84/202.76 [4077]E(f318(f318(f92(f927(f927(x40771,a918),a918)),f318(f299(x40771),x40772)),f318(f299(x40771),x40773)),f318(f299(x40771),f318(f318(f92(f927(x40771,a918)),x40772),x40773)))
% 202.84/202.76 [4080]E(f318(f318(f101(f927(x40801,a918)),f318(f72(f927(x40801,a918)),x40802)),x40803),f318(f72(f927(x40801,a918)),f318(f318(f3(f927(x40801,a918)),x40802),x40803)))
% 202.84/202.76 [4089]E(f318(f318(f300(x40891),x40892),f318(f318(f3(f927(x40891,a918)),x40893),f318(f318(f300(x40891),x40892),f179(f927(x40891,a918))))),f318(f318(f300(x40891),x40892),x40893))
% 202.84/202.76 [4099]P1(f318(f318(f225(f927(x40991,a918)),x40992),f318(f318(f101(f927(x40991,a918)),x40993),x40992)))
% 202.84/202.76 [4100]P1(f318(f318(f225(f927(x41001,a918)),x41002),f318(f318(f101(f927(x41001,a918)),x41002),x41003)))
% 202.84/202.76 [4104]E(f318(f318(f101(f927(x41041,a918)),f318(f72(f927(x41041,a918)),x41042)),f318(f72(f927(x41041,a918)),x41043)),f318(f72(f927(x41041,a918)),f318(f318(f92(f927(x41041,a918)),x41042),x41043)))
% 202.84/202.76 [4105]E(f318(f318(f92(f927(x41051,a918)),f318(f72(f927(x41051,a918)),x41052)),f318(f72(f927(x41051,a918)),x41053)),f318(f72(f927(x41051,a918)),f318(f318(f101(f927(x41051,a918)),x41052),x41053)))
% 202.84/202.76 [4119]P1(f318(f318(f225(f927(x41191,a918)),f318(f163(x41191),x41192)),f318(f163(x41191),f318(f318(f142(x41191),x41193),x41192))))
% 202.84/202.76 [4131]E(f318(f318(f101(f927(x41311,a918)),f318(f318(f3(f927(x41311,a918)),x41312),x41313)),f318(f318(f92(f927(x41311,a918)),x41312),x41313)),x41312)
% 202.84/202.76 [4181]E(f318(f318(f11(x41811,a1),f318(f318(f10(a920,a1,x41811),f91(a1)),x41812)),x41813),f318(f91(a1),f318(f318(f11(x41811,a920),x41812),x41813)))
% 202.84/202.76 [4182]E(f318(f318(f8(x41821,a1),f318(f318(f10(a920,a1,x41821),f91(a1)),x41822)),x41823),f318(f91(a1),f318(f318(f8(x41821,a920),x41822),x41823)))
% 202.84/202.76 [4229]E(f318(f318(f125(x42291),f168(x42291,x42292,x42293)),f318(f318(f129(x42291),f318(f180(f921(x42291)),f168(x42291,x42292,x42293))),x42293)),x42293)
% 202.84/202.76 [4233]E(f318(f72(f927(f926(x42331,x42332),a918)),f318(f318(f245(x42331,x42332),x42333),f318(f18(f927(x42332,a918),x42331),f233(f927(x42332,a918))))),f318(f318(f245(x42331,x42332),f318(f72(f927(x42331,a918)),x42333)),f318(f18(f927(x42332,a918),x42331),f233(f927(x42332,a918)))))
% 202.84/202.76 [4234]E(f318(f72(f927(f926(x42341,x42342),a918)),f318(f318(f245(x42341,x42342),f233(f927(x42341,a918))),f318(f18(f927(x42342,a918),x42341),x42343))),f318(f318(f245(x42341,x42342),f233(f927(x42341,a918))),f318(f18(f927(x42342,a918),x42341),f318(f72(f927(x42342,a918)),x42343))))
% 202.84/202.76 [4285]E(f318(f318(f33(f927(x42851,a918),f927(x42851,a918)),x42852),f318(f318(f9(f927(x42851,a918),f927(x42851,a918),f927(x42851,a918)),f92(f927(x42851,a918))),x42853)),f318(f318(f92(f927(x42851,a918)),f31(f927(x42851,a918),x42852)),x42853))
% 202.84/202.76 [4291]E(f318(f133(f921(x42911),f921(x42911),f125(x42911),f104(x42911)),f318(f318(f142(f921(x42911)),x42912),x42913)),f318(f318(f125(x42911),x42912),f318(f133(f921(x42911),f921(x42911),f125(x42911),f104(x42911)),x42913)))
% 202.84/202.76 [4312]E(f318(f318(f300(f927(x43121,a918)),f318(f276(x43121,x43121,x43122),f318(f318(f300(x43121),x43123),f179(f927(x43121,a918))))),f179(f927(f927(x43121,a918),a918))),f318(f318(f54(x43121),f318(f318(f300(x43121),x43123),f179(f927(x43121,a918)))),x43122))
% 202.84/202.76 [4322]E(f318(f318(f73(a920),f318(f318(f74(a920),x43221),f318(f318(f30(a920),x43222),x43223))),f318(f318(f30(a920),f318(f318(f74(a920),x43221),f39(a920,x43222,x43223))),x43223)),f318(f318(f30(a920),f318(f318(f74(a920),x43221),x43222)),x43223))
% 202.84/202.76 [4323]E(f318(f318(f73(a1),f318(f318(f74(a1),x43231),f318(f318(f30(a1),x43232),x43233))),f318(f318(f30(a1),f318(f318(f74(a1),x43231),f39(a1,x43232,x43233))),x43233)),f318(f318(f30(a1),f318(f318(f74(a1),x43231),x43232)),x43233))
% 202.84/202.76 [4355]E(f318(f318(f3(f927(x43551,a918)),f318(f163(x43551),x43552)),f318(f318(f300(x43551),x43553),f179(f927(x43551,a918)))),f318(f163(x43551),f318(f127(x43551,f318(f318(f10(a918,a918,x43551),a313),f318(a315,x43553))),x43552)))
% 202.84/202.76 [4405]E(f318(f318(f125(x44051),f318(f133(f921(x44051),f921(x44051),f125(x44051),f104(x44051)),x44052)),f318(f133(f921(x44051),f921(x44051),f125(x44051),f104(x44051)),x44053)),f318(f133(f921(x44051),f921(x44051),f125(x44051),f104(x44051)),f318(f318(f125(f921(x44051)),x44052),x44053)))
% 202.84/202.76 [4408]E(f318(f318(f243(f921(x44081),f921(x44081)),f318(f127(x44081,x44082),x44083)),f318(f127(x44081,f318(f66(a918,a918,x44081,a313),x44082)),x44083)),f157(x44081,x44082,x44083))
% 202.84/202.76 [4411]E(f318(f318(f73(a920),f318(f318(f73(a920),f318(f318(f30(a920),x44111),x44112)),f318(f318(f30(a920),x44113),x44112))),f318(f318(f30(a920),f318(f318(f73(a920),f39(a920,x44111,x44112)),f39(a920,x44113,x44112))),x44112)),f318(f318(f30(a920),f318(f318(f73(a920),x44111),x44113)),x44112))
% 202.84/202.76 [4412]E(f318(f318(f73(a1),f318(f318(f73(a1),f318(f318(f30(a1),x44121),x44122)),f318(f318(f30(a1),x44123),x44122))),f318(f318(f30(a1),f318(f318(f73(a1),f39(a1,x44121,x44122)),f39(a1,x44123,x44122))),x44122)),f318(f318(f30(a1),f318(f318(f73(a1),x44121),x44123)),x44122))
% 202.84/202.76 [4465]E(f318(f318(f92(f927(f921(x44651),a918)),f318(f318(f9(f921(x44651),f927(f921(x44651),a918),a918),f320(f921(x44651))),f152(x44651,x44652))),f318(f318(f9(f921(x44651),f927(f921(x44651),a918),a918),f320(f921(x44651))),f152(x44651,x44653))),f151(x44651,f318(f318(f92(f927(x44651,a918)),f318(f318(f9(x44651,f927(x44651,a918),a918),f320(x44651)),x44652)),f318(f318(f9(x44651,f927(x44651,a918),a918),f320(x44651)),x44653))))
% 202.84/202.76 [4477]E(f318(f253(x44771),f318(f318(f20(x44771,a918,a918),f318(f318(f10(a918,f927(a918,a918),x44771),a317),f318(f318(f9(x44771,x44771,a918),a315),x44772))),f318(f318(f9(x44771,f927(x44771,a918),a918),f320(x44771)),x44773))),f318(f318(f300(x44771),x44772),x44773))
% 202.84/202.76 [4497]E(f318(f318(f79(f921(f921(x44971)),f921(f921(x44971))),f48(x44971,x44972)),f318(f318(f20(f921(f921(x44971)),f921(f921(x44971)),f921(f921(x44971))),f318(f318(f10(f921(f921(x44971)),f927(f921(f921(x44971)),f921(f921(x44971))),f921(f921(x44971))),f125(f921(x44971))),f318(f145(f921(x44971),f921(x44971)),f318(f142(x44971),x44973)))),f7(f921(f921(x44971))))),f48(x44971,f318(f318(f142(x44971),x44973),x44972)))
% 202.84/202.76 [4500]E(f318(f253(x45001),f318(f318(f20(x45001,a918,a918),f318(f318(f10(a918,f927(a918,a918),x45001),a316),f318(f318(f9(x45001,f927(x45001,a918),a918),f320(x45001)),x45002))),f318(f318(f9(x45001,f927(x45001,a918),a918),f320(x45001)),x45003))),f318(f318(f92(f927(x45001,a918)),x45002),x45003))
% 202.84/202.76 [4501]E(f318(f253(x45011),f318(f318(f20(x45011,a918,a918),f318(f318(f10(a918,f927(a918,a918),x45011),a317),f318(f318(f9(x45011,f927(x45011,a918),a918),f320(x45011)),x45012))),f318(f318(f9(x45011,f927(x45011,a918),a918),f320(x45011)),x45013))),f318(f318(f101(f927(x45011,a918)),x45012),x45013))
% 202.84/202.76 [4590]E(f318(f318(f33(x45901,f927(f927(x45901,a918),a918)),x45902),f318(f318(f9(x45901,f927(f927(x45901,a918),a918),f927(f927(x45901,a918),a918)),f318(f318(f10(f927(x45901,a918),f927(f927(f927(x45901,a918),a918),f927(f927(x45901,a918),a918)),x45901),f300(f927(x45901,a918))),f318(f318(f10(f927(x45901,a918),f927(x45901,a918),x45901),f276(x45901,x45901,x45903)),f318(f318(f9(x45901,f927(x45901,a918),f927(x45901,a918)),f300(x45901)),f179(f927(x45901,a918)))))),f179(f927(f927(x45901,a918),a918)))),f318(f318(f54(x45901),x45902),x45903))
% 202.84/202.76 [4592]E(f318(f318(f192(x45921),f318(f318(f74(a1),f318(f318(f66(f926(a1,a1),a1,x45921,f242(a1,a1)),f203(x45921)),x45922)),f318(f318(f66(f926(a1,a1),a1,x45921,f242(a1,a1)),f203(x45921)),x45923))),f318(f318(f74(a1),f318(f318(f66(f926(a1,a1),a1,x45921,f247(a1,a1)),f203(x45921)),x45922)),f318(f318(f66(f926(a1,a1),a1,x45921,f247(a1,a1)),f203(x45921)),x45923))),f219(x45921,x45922,x45923))
% 202.84/202.76 [4595]E(f318(f253(f921(x45951)),f318(f318(f20(f921(x45951),a918,a918),f318(f318(f10(a918,f927(a918,a918),f921(x45951)),a316),f318(f318(f9(f921(x45951),a920,a918),f318(f318(f10(a920,f927(a920,a918),f921(x45951)),a315),f180(f921(x45951)))),x45952))),f318(f318(f9(f921(x45951),f927(x45951,a918),a918),f318(f318(f10(f927(x45951,a918),f927(f927(x45951,a918),a918),f921(x45951)),f225(f927(x45951,a918))),f163(x45951))),f318(f163(x45951),x45953)))),f318(f163(f921(x45951)),f49(x45951,x45952,x45953)))
% 202.84/202.76 [4004]E(f39(a920,f318(f318(f73(a920),f318(f318(f74(a920),x40041),x40042)),x40043),x40042),f39(a920,x40043,x40042))
% 202.84/202.76 [4049]E(f130(a920,f318(f293(a920,f318(f318(f73(a920),x40491),x40492)),x40493)),f318(f318(f129(a920),x40492),f130(a920,f318(f293(a920,x40491),x40493))))
% 202.84/202.76 [4088]E(f318(f318(f73(a1),f318(f91(a1),x40881)),f318(f318(f73(a1),f318(f91(a1),x40882)),x40883)),f318(f318(f73(a1),f318(f91(a1),f318(f318(f73(a920),x40881),x40882))),x40883))
% 202.84/202.76 [4095]E(f318(f318(f101(f927(x40951,a918)),f318(f318(f3(f927(x40951,a918)),x40952),x40953)),x40953),f318(f318(f101(f927(x40951,a918)),x40952),x40953))
% 202.84/202.76 [4096]E(f318(f318(f3(f927(x40961,a918)),f318(f318(f3(f927(x40961,a918)),x40962),x40963)),x40963),f318(f318(f3(f927(x40961,a918)),x40962),x40963))
% 202.84/202.76 [4120]E(f318(f318(f280(x41201,x41201,x41202),f298(x41201,f179(f927(f926(x41201,x41201),a918)))),x41203),x41203)
% 202.84/202.76 [4128]E(f318(f318(f101(f927(x41281,a918)),f318(f272(x41281),x41282)),f318(f272(x41281),x41283)),f318(f272(x41281),f318(f318(f101(f927(f926(x41281,x41281),a918)),x41282),x41283)))
% 202.84/202.76 [4138]E(f257(x41381,f318(f318(f142(f926(a90,x41381)),f318(f318(f243(a90,x41381),f2(a90)),x41382)),x41383)),f257(x41381,x41383))
% 202.84/202.76 [4140]E(f318(f318(f92(f927(x41401,a918)),f32(f927(x41401,a918),x41402)),f32(f927(x41401,a918),x41403)),f32(f927(x41401,a918),f318(f318(f101(f927(f927(x41401,a918),a918)),x41402),x41403)))
% 202.84/202.76 [4141]E(f318(f318(f101(f927(x41411,a918)),f31(f927(x41411,a918),x41412)),f31(f927(x41411,a918),x41413)),f31(f927(x41411,a918),f318(f318(f101(f927(f927(x41411,a918),a918)),x41412),x41413)))
% 202.84/202.76 [4178]E(f318(f318(f280(x41781,x41781,x41781),f318(f318(f174(f926(x41781,x41781),a918),x41782),x41783)),x41783),f318(f318(f174(f926(x41781,x41781),a918),f318(a103,x41782)),x41783))
% 202.84/202.76 [4221]P1(f318(f318(f225(f927(x42211,a918)),f318(f318(f92(f927(x42211,a918)),x42212),x42213)),x42213))
% 202.84/202.76 [4222]P1(f318(f318(f225(f927(x42221,a918)),f318(f318(f92(f927(x42221,a918)),x42222),x42223)),x42222))
% 202.84/202.76 [4223]P1(f318(f318(f225(f927(x42231,a918)),f318(f318(f3(f927(x42231,a918)),x42232),x42233)),x42232))
% 202.84/202.76 [4247]E(f298(x42471,f318(f318(f101(f927(f926(x42471,x42471),a918)),f298(x42471,x42472)),f298(x42471,x42473))),f298(x42471,f318(f318(f101(f927(f926(x42471,x42471),a918)),x42472),x42473)))
% 202.84/202.76 [4251]E(f32(f927(x42511,a918),f318(f318(f300(f927(x42511,a918)),x42512),f318(f318(f300(f927(x42511,a918)),x42513),f179(f927(f927(x42511,a918),a918))))),f318(f318(f92(f927(x42511,a918)),x42512),x42513))
% 202.84/202.76 [4252]E(f31(f927(x42521,a918),f318(f318(f300(f927(x42521,a918)),x42522),f318(f318(f300(f927(x42521,a918)),x42523),f179(f927(f927(x42521,a918),a918))))),f318(f318(f101(f927(x42521,a918)),x42522),x42523))
% 202.84/202.76 [4257]E(f318(f318(f280(x42571,x42571,x42571),f318(f318(f174(f926(x42571,x42571),a918),x42572),x42573)),x42573),f318(f318(f280(x42571,x42571,x42571),x42573),f318(f318(f174(f926(x42571,x42571),a918),x42572),x42573)))
% 202.84/202.76 [4326]E(f318(f318(f101(f927(x43261,a918)),f318(f253(x43261),f318(f318(f9(x43261,x43261,a918),a315),x43262))),x43263),f318(f318(f300(x43261),x43262),x43263))
% 202.84/202.76 [4328]E(f318(a95,f318(f318(f11(x43281,a1),f318(f318(f10(a920,a1,x43281),f91(a1)),x43282)),x43283)),f318(f318(f11(x43281,a920),x43282),x43283))
% 202.84/202.76 [4329]E(f318(a95,f318(f318(f8(x43291,a1),f318(f318(f10(a920,a1,x43291),f91(a1)),x43292)),x43293)),f318(f318(f8(x43291,a920),x43292),x43293))
% 202.84/202.76 [4402]E(f318(f147(f921(x44021),x44021,f318(f162(x44021),x44022),f318(f18(f927(f921(x44021),f921(x44021)),x44021),f318(f318(f9(f921(x44021),f921(x44021),f921(x44021)),f125(x44021)),x44022))),x44023),f318(f162(x44021),f318(f318(f125(x44021),x44023),x44022)))
% 202.84/202.76 [4430]P1(f318(f318(f225(f927(f927(x44301,a918),a918)),f318(f318(f101(f927(f927(x44301,a918),a918)),f318(f299(x44301),x44302)),f318(f299(x44301),x44303))),f318(f299(x44301),f318(f318(f101(f927(x44301,a918)),x44302),x44303))))
% 202.84/202.76 [4519]E(f318(f253(x45191),f318(f318(f20(x45191,a918,a918),f318(f318(f10(a918,f927(a918,a918),x45191),a316),f318(f318(f9(x45191,f927(x45191,a918),a918),f320(x45191)),x45192))),f318(f318(f10(a918,a918,x45191),a313),f318(f318(f9(x45191,f927(x45191,a918),a918),f320(x45191)),x45193)))),f318(f318(f3(f927(x45191,a918)),x45192),x45193))
% 202.84/202.76 [4543]E(f318(f29(a920),f318(f253(a920),f318(f318(f20(a920,a918,a918),f318(f318(f10(a918,f927(a918,a918),a920),a316),f318(f318(f9(a920,a920,a918),f226(a920)),f318(f180(f921(x45431)),x45432)))),f318(f318(f10(x45431,a918,a920),x45433),f318(f155(x45431),x45432))))),f318(f180(f921(x45431)),f318(f127(x45431,x45433),x45432)))
% 202.84/202.76 [4545]E(f318(f180(f921(x45451)),f167(x45451,x45452,x45453)),f318(f29(a920),f318(f253(a920),f318(f318(f20(a920,a918,a918),f318(f318(f10(a918,f927(a918,a918),a920),a316),f318(f318(f9(a920,a920,a918),f226(a920)),f318(f180(f921(x45451)),x45452)))),f318(f318(f9(a920,f927(a920,a918),a918),f320(a920)),x45453)))))
% 202.84/202.76 [4641]E(f318(f318(f92(f927(f926(f921(x46411),f921(x46411)),a918)),f318(f301(f926(f926(x46411,f921(x46411)),f926(x46411,f921(x46411))),f926(f921(x46411),f921(x46411)),f249(f926(x46411,f921(x46411)),f921(x46411),f926(x46411,f921(x46411)),f921(x46411),f318(f248(x46411,f921(x46411),f921(x46411)),f142(x46411)),f318(f248(x46411,f921(x46411),f921(x46411)),f142(x46411)))),f311(x46411,f921(x46411),x46412,f318(f134(x46411,x46412),x46413)))),f318(f253(f926(f921(x46411),f921(x46411))),f318(f248(f921(x46411),f921(x46411),a918),f318(f318(f9(f921(x46411),f927(f921(x46411),a918),f927(f921(x46411),a918)),f318(f318(f10(f927(a918,a918),f927(f927(f921(x46411),a918),f927(f921(x46411),a918)),f921(x46411)),f10(a918,a918,f921(x46411))),f318(f318(f10(a918,f927(a918,a918),f921(x46411)),a316),f318(f318(f9(f921(x46411),a920,a918),f318(f318(f10(a920,f927(a920,a918),f921(x46411)),a315),f180(f921(x46411)))),f318(a103,x46413))))),f318(f318(f9(f921(x46411),a920,a918),f318(f318(f10(a920,f927(a920,a918),f921(x46411)),a315),f180(f921(x46411)))),f318(a103,x46413)))))),f318(f134(x46411,x46412),f318(a103,x46413)))
% 202.84/202.76 [4142]E(f39(a920,f318(a103,f318(f318(f73(a920),f318(f318(f74(a920),x41421),x41422)),x41423)),x41422),f39(a920,f318(a103,x41423),x41422))
% 202.84/202.76 [4388]E(f318(f253(x43881),f318(f318(f20(x43881,a918,a918),f318(f318(f10(a918,f927(a918,a918),x43881),a316),x43882)),x43883)),f318(f318(f92(f927(x43881,a918)),f318(f253(x43881),x43882)),f318(f253(x43881),x43883)))
% 202.84/202.76 [4389]E(f318(f253(x43891),f318(f318(f20(x43891,a918,a918),f318(f318(f10(a918,f927(a918,a918),x43891),a317),x43892)),x43893)),f318(f318(f101(f927(x43891,a918)),f318(f253(x43891),x43892)),f318(f253(x43891),x43893)))
% 202.84/202.76 [4391]E(f318(f318(f125(x43911),f318(f318(f129(x43911),f39(a920,x43912,f318(f180(f921(x43911)),x43913))),x43913)),f318(f318(f166(x43911),f39(a920,x43912,f318(f180(f921(x43911)),x43913))),x43913)),f318(f318(f318(f174(f921(x43911),f921(x43911)),x43912),f158(x43911)),x43913))
% 202.84/202.76 [4397]E(f318(f253(x43971),f318(f318(f20(x43971,a918,a918),f318(f318(f10(a918,f927(a918,a918),x43971),a321),x43972)),x43973)),f318(f318(f101(f927(x43971,a918)),f318(f72(f927(x43971,a918)),f318(f253(x43971),x43972))),f318(f253(x43971),x43973)))
% 202.84/202.76 [4413]E(f318(f318(f73(a920),f318(f180(f921(x44131)),f318(f127(x44131,x44132),x44133))),f318(f180(f921(x44131)),f318(f127(x44131,f318(f318(f10(a918,a918,x44131),a313),x44132)),x44133))),f318(f180(f921(x44131)),x44133))
% 202.84/202.76 [4436]P1(f318(f318(f225(f927(x44361,a918)),f318(f318(f101(f927(x44361,a918)),f32(f927(x44361,a918),x44362)),f32(f927(x44361,a918),x44363))),f32(f927(x44361,a918),f318(f318(f92(f927(f927(x44361,a918),a918)),x44362),x44363))))
% 202.84/202.76 [4450]E(f318(f163(x44501),f318(f127(x44501,f318(f318(f10(a918,a918,x44501),a313),f318(f318(f9(x44501,x44501,a918),a315),x44502))),x44503)),f318(f318(f3(f927(x44501,a918)),f318(f163(x44501),x44503)),f318(f318(f300(x44501),x44502),f179(f927(x44501,a918)))))
% 202.84/202.76 [4459]P1(f318(f318(f225(f927(f926(x44591,x44591),a918)),f318(f318(f101(f927(f926(x44591,x44591),a918)),f298(x44591,x44592)),f298(x44591,x44593))),f298(x44591,f318(f318(f101(f927(f926(x44591,x44591),a918)),x44592),x44593))))
% 202.84/202.76 [4482]E(f318(f318(f74(a920),f318(a103,f318(a103,f2(a920)))),f318(f318(f8(a920,a920),f318(f318(f10(a920,a920,a920),f318(f73(a920),x44821)),f318(f318(f9(a920,a920,a920),f74(a920)),x44822))),f318(f273(a920),x44823))),f318(f318(f74(a920),x44823),f318(f318(f73(a920),x44821),f318(f318(f73(a920),x44821),f318(f318(f74(a920),f318(f318(f3(a920),x44823),f71(a920))),x44822)))))
% 202.84/202.76 [4492]E(f318(f253(x44921),f318(f318(f20(x44921,a918,a918),f318(f318(f10(a918,f927(a918,a918),x44921),a316),f318(f318(f9(x44921,f927(x44921,a918),a918),f320(x44921)),f318(f163(x44921),x44922)))),x44923)),f318(f163(x44921),f318(f127(x44921,x44923),x44922)))
% 202.84/202.76 [4640]E(f318(f253(x46401),f318(f318(f10(f927(a920,a918),a918,x46401),f80(a920)),f318(f318(f9(x46401,f927(a920,a918),f927(a920,a918)),f318(f318(f10(f927(a920,f927(a918,a918)),f927(f927(a920,a918),f927(a920,a918)),x46401),f20(a920,a918,a918)),f318(f318(f10(f927(a920,a918),f927(a920,f927(a918,a918)),x46401),f318(f10(a918,f927(a918,a918),a920),a316)),f318(f318(f9(x46401,f927(a920,x46401),f927(a920,a918)),f318(f318(f10(f927(x46401,a918),f927(f927(a920,x46401),f927(a920,a918)),x46401),f10(x46401,a918,a920)),a315)),f318(f155(x46401),x46402))))),f318(f318(f20(a920,a918,a918),f318(f318(f10(a918,f927(a918,a918),a920),a316),f318(f318(f9(a920,a920,a918),f226(a920)),f318(f180(f921(x46401)),x46402)))),f318(f318(f9(a920,f927(a920,a918),a918),f320(a920)),x46403))))),f318(f163(x46401),f167(x46401,x46402,x46403)))
% 202.84/202.76 [4532]E(f318(f253(x45321),f318(f318(f20(x45321,a918,a918),f318(f318(f10(a918,f927(a918,a918),x45321),a321),f318(f318(f10(a918,a918,x45321),a313),f318(f318(f9(x45321,x45321,a918),a315),x45322)))),x45323)),f318(f318(f300(x45321),x45322),f318(f253(x45321),x45323)))
% 202.84/202.76 [4564]E(f318(f318(f145(f926(x45641,a920),x45641),f242(x45641,a920)),f318(f127(f926(x45641,a920),f318(f318(f9(f926(x45641,a920),f927(a920,a918),a918),f318(f318(f10(a920,f927(f927(a920,a918),a918),f926(x45641,a920)),f320(a920)),f247(x45641,a920))),x45642)),f318(f318(f172(x45641,a920),x45643),f130(a920,f318(f293(a920,f2(a920)),f318(f180(f921(x45641)),x45643)))))),f167(x45641,x45643,x45642))
% 202.84/202.76 [4591]E(f318(f318(f74(a1),f318(f94(a1),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))),f318(f318(f8(a920,a1),f318(f318(f10(a1,a1,a920),f318(f73(a1),x45911)),f318(f318(f9(a920,a1,a1),f318(f318(f10(a1,f927(a1,a1),a920),f74(a1)),f91(a1))),x45912))),f318(f273(a920),x45913))),f318(f318(f74(a1),f318(f91(a1),x45913)),f318(f318(f73(a1),x45911),f318(f318(f73(a1),x45911),f318(f318(f74(a1),f318(f91(a1),f318(f318(f3(a920),x45913),f71(a920)))),x45912)))))
% 202.84/202.76 [4633]E(f318(f253(f926(x46331,x46332)),f318(f248(x46331,x46332,a918),f318(f318(f9(x46331,f927(f926(x46332,x46331),a918),f927(x46332,a918)),f318(f318(f10(f927(x46332,f927(f927(f926(x46332,x46331),a918),a918)),f927(f927(f926(x46332,x46331),a918),f927(x46332,a918)),x46331),f9(x46332,f927(f926(x46332,x46331),a918),a918)),f318(f318(f10(f927(x46332,f926(x46332,x46331)),f927(x46332,f927(f927(f926(x46332,x46331),a918),a918)),x46331),f318(f10(f926(x46332,x46331),f927(f927(f926(x46332,x46331),a918),a918),x46332),f320(f926(x46332,x46331)))),f318(f9(x46332,x46331,f926(x46332,x46331)),f243(x46332,x46331))))),x46333))),f318(f277(x46332,x46331),x46333))
% 202.84/202.76 [4653]E(f318(f253(f921(x46531)),f318(f318(f10(f927(x46531,a918),a918,f921(x46531)),f80(x46531)),f318(f318(f10(f927(x46531,f927(f921(x46531),a918)),f927(x46531,a918),f921(x46531)),f318(f10(f927(f921(x46531),a918),a918,x46531),f80(f921(x46531)))),f318(f318(f9(f921(x46531),f927(x46531,f927(f921(x46531),a918)),f927(x46531,f927(f921(x46531),a918))),f318(f318(f10(f927(x46531,f927(f927(f921(x46531),a918),f927(f921(x46531),a918))),f927(f927(x46531,f927(f921(x46531),a918)),f927(x46531,f927(f921(x46531),a918))),f921(x46531)),f20(x46531,f927(f921(x46531),a918),f927(f921(x46531),a918))),f318(f318(f10(f927(x46531,f927(f921(x46531),f927(a918,a918))),f927(x46531,f927(f927(f921(x46531),a918),f927(f921(x46531),a918))),f921(x46531)),f318(f10(f927(f921(x46531),f927(a918,a918)),f927(f927(f921(x46531),a918),f927(f921(x46531),a918)),x46531),f20(f921(x46531),a918,a918))),f318(f318(f10(f927(x46531,f927(f921(x46531),a918)),f927(x46531,f927(f921(x46531),f927(a918,a918))),f921(x46531)),f318(f10(f927(f921(x46531),a918),f927(f921(x46531),f927(a918,a918)),x46531),f318(f10(a918,f927(a918,a918),f921(x46531)),a316))),f318(f318(f9(f921(x46531),f927(x46531,f927(f921(x46531),f921(x46531))),f927(x46531,f927(f921(x46531),a918))),f318(f318(f10(f927(f927(f921(x46531),f921(x46531)),f927(f921(x46531),a918)),f927(f927(x46531,f927(f921(x46531),f921(x46531))),f927(x46531,f927(f921(x46531),a918))),f921(x46531)),f10(f927(f921(x46531),f921(x46531)),f927(f921(x46531),a918),x46531)),f318(f318(f10(f927(f921(x46531),a918),f927(f927(f921(x46531),f921(x46531)),f927(f921(x46531),a918)),f921(x46531)),f10(f921(x46531),a918,f921(x46531))),a315))),f142(x46531)))))),f318(f318(f9(x46531,f927(f921(x46531),a918),f927(f921(x46531),a918)),f318(f318(f10(f927(a918,a918),f927(f927(f921(x46531),a918),f927(f921(x46531),a918)),x46531),f10(a918,a918,f921(x46531))),f318(f318(f10(a918,f927(a918,a918),x46531),a316),f318(f318(f9(x46531,f927(x46531,a918),a918),f320(x46531)),x46532)))),f318(f318(f9(f921(x46531),f927(f921(x46531),a918),a918),f320(f921(x46531))),x46533)))))),f165(x46531,x46532,x46533))
% 202.84/202.76 [4650]E(f318(f318(f79(a1,f926(a1,a1)),f318(f318(f3(a1),x46501),x46502)),f318(f318(f9(a1,f926(a1,a1),f926(a1,a1)),f318(f318(f20(a1,f926(a1,a1),f927(f926(a1,a1),f926(a1,a1))),f318(f318(f10(a918,f927(f926(a1,a1),f927(f926(a1,a1),f926(a1,a1))),a1),f85(f926(a1,a1))),f318(f225(a1),f2(a1)))),f318(f243(a1,a1),f318(f318(f73(a1),f318(f318(f74(a1),f318(f94(a1),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))),x46503)),f71(a1))))),f318(f318(f243(a1,a1),f318(f318(f74(a1),f318(f94(a1),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))),x46503)),x46501))),f318(f37(x46502),f318(f318(f243(a1,a1),x46503),x46501)))
% 202.84/202.76 [3705]E(f107(x37051,f318(x37052,x37053),f318(x37054,x37053)),f318(f194(x37051,x37052,x37054),x37053))
% 202.84/202.76 [3758]E(f318(f318(f236(x37581,x37582,x37583),x37584),f2(a920)),x37582)
% 202.84/202.76 [3796]E(f176(x37961,x37962,x37963,f318(a103,x37964)),f318(x37963,x37964))
% 202.84/202.76 [3837]E(f161(x38371,x38372,f161(x38371,x38373,x38374)),f161(x38371,x38373,f161(x38371,x38372,x38374)))
% 202.84/202.76 [3838]E(f117(x38381,x38382,f107(x38381,x38383,x38384)),f107(x38381,f117(x38381,x38382,x38383),x38384))
% 202.84/202.76 [3972]E(f318(f147(x39721,x39722,x39723,x39724),f104(x39722)),x39723)
% 202.84/202.76 [3973]E(f318(f133(x39731,x39732,x39733,x39734),f104(x39732)),x39734)
% 202.84/202.76 [4010]E(f318(f180(f925(x40101,x40102)),f211(x40101,x40102,x40103,x40104)),f2(a920))
% 202.84/202.76 [4033]E(f318(f248(x40331,x40332,x40333),f246(x40331,x40332,x40333,x40334)),x40334)
% 202.84/202.76 [4076]E(f318(f318(f125(x40761),f160(x40761,x40762,x40763)),f160(x40761,x40764,x40763)),f318(f318(f125(x40761),f160(x40761,x40764,x40763)),f160(x40761,x40762,x40763)))
% 202.84/202.76 [4161]E(f318(f318(f250(x41611,x41612,x41613,f926(x41612,x41613)),x41614),f243(x41612,x41613)),x41614)
% 202.84/202.76 [4171]E(f118(x41711,x41712,x41713,x41714,f110(x41712)),x41713)
% 202.84/202.76 [4177]E(f68(x41771,x41772,x41773,x41774,f318(x41773,x41774)),x41773)
% 202.84/202.76 [4443]P45(x44431,x44432,x44433,x44434,f179(f927(x44431,a918)),x44434)
% 202.84/202.76 [3509]E(f318(f318(f18(x35091,x35092),x35093),x35094),x35093)
% 202.84/202.76 [3786]E(f161(x37861,x37862,f318(f127(x37861,x37863),x37864)),f318(f127(x37861,x37863),f161(x37861,x37862,x37864)))
% 202.84/202.76 [3820]E(f318(f318(f58(x38201,x38202,x38203),x38204),f179(f927(x38201,a918))),x38204)
% 202.84/202.76 [3845]E(f318(f318(f155(x38451),f318(f318(f142(x38451),x38452),x38453)),f318(a103,x38454)),f318(f318(f155(x38451),x38453),x38454))
% 202.84/202.76 [3912]E(f318(f318(x39121,x39122),f318(f175(x39123,x39124,x39121),x39122)),f318(f175(x39123,x39124,x39121),f318(a103,x39122)))
% 202.84/202.76 [3953]E(f246(x39531,x39532,x39533,f318(f248(x39531,x39532,x39533),x39534)),x39534)
% 202.84/202.76 [4008]E(f318(f318(f150(x40081,f318(f318(f142(x40081),x40082),x40083)),f2(a920)),x40084),f318(f318(f142(x40081),x40084),x40083))
% 202.84/202.76 [4018]E(f318(f318(f33(f927(x40181,a918),f927(x40182,a918)),x40183),f301(x40181,x40182,x40184)),f318(f301(x40181,x40182,x40184),f31(f927(x40181,a918),x40183)))
% 202.84/202.76 [4019]E(f318(f318(f33(f927(x40191,a918),f927(x40192,a918)),x40193),f302(x40192,x40191,x40194)),f318(f302(x40192,x40191,x40194),f31(f927(x40191,a918),x40193)))
% 202.84/202.76 [4044]E(f111(x40441,f121(x40442,f922(x40441),x40443,x40444)),f318(f109(x40442,x40441,x40444),x40443))
% 202.84/202.76 [4116]E(f318(f116(x41161,x41162),f117(x41161,x41163,x41164)),f318(f318(f73(a920),f318(f318(f73(a920),f318(x41162,x41163)),f318(f116(x41161,x41162),x41164))),f318(a103,f2(a920))))
% 202.84/202.76 [4137]E(f318(f133(x41371,x41372,f318(f9(x41372,x41371,x41371),x41373),x41374),f318(f159(x41372),f104(x41372))),x41374)
% 202.84/202.76 [4241]E(f214(x42411,f926(x42412,f922(x42412)),x42413,f318(f248(x42412,f922(x42412),x42411),x42414),f318(f126(x42412),f110(x42412))),x42413)
% 202.84/202.76 [4373]E(f318(f248(x43731,x43732,x43733),f318(f318(f10(f927(x43732,f926(x43731,x43732)),f927(x43732,x43733),x43731),f318(f10(f926(x43731,x43732),x43733,x43732),x43734)),f243(x43731,x43732))),x43734)
% 202.84/202.76 [3696]E(f318(f247(x36961,x36962),f318(f318(f243(x36961,x36962),x36963),x36964)),x36964)
% 202.84/202.76 [3697]E(f318(f242(x36971,x36972),f318(f318(f243(x36971,x36972),x36973),x36974)),x36973)
% 202.84/202.76 [3730]E(f318(f180(f921(x37301)),f318(f318(f150(x37301,x37302),x37303),x37304)),f318(f180(f921(x37301)),x37302))
% 202.84/202.76 [3731]E(f318(f180(f921(x37311)),f318(f318(f145(x37312,x37311),x37313),x37314)),f318(f180(f921(x37312)),x37314))
% 202.84/202.76 [3752]E(f318(f318(f129(x37521),f318(a103,x37522)),f318(f318(f142(x37521),x37523),x37524)),f318(f318(f129(x37521),x37522),x37524))
% 202.84/202.76 [3815]E(f318(f318(f166(x38151),x38152),f160(x38151,x38153,x38154)),f160(x38151,f318(f318(f223(a920),x38152),x38153),x38154))
% 202.84/202.76 [3816]E(f318(f318(f129(x38161),x38162),f160(x38161,x38163,x38164)),f160(x38161,f318(f318(f3(a920),x38163),x38162),x38164))
% 202.84/202.76 [3822]E(f318(f318(f300(x38221),x38222),f318(f318(f300(x38221),x38223),x38224)),f318(f318(f300(x38221),x38223),f318(f318(f300(x38221),x38222),x38224)))
% 202.84/202.76 [3826]E(f318(f318(f145(x38261,x38262),x38263),f105(x38261,x38264)),f105(x38262,f318(f318(f145(x38261,x38262),x38263),x38264)))
% 202.84/202.76 [3843]E(f318(f159(x38431),f318(f318(f145(x38432,x38431),x38433),x38434)),f318(f318(f145(x38432,x38431),x38433),f318(f159(x38432),x38434)))
% 202.84/202.76 [3844]E(f318(f318(f145(x38441,x38442),x38443),f318(f162(x38441),x38444)),f318(f162(x38442),f318(f318(f145(x38441,x38442),x38443),x38444)))
% 202.84/202.76 [3859]E(f318(f318(f166(x38591),f318(a103,x38592)),f318(f318(f142(x38591),x38593),x38594)),f318(f318(f142(x38591),x38593),f318(f318(f166(x38591),x38592),x38594)))
% 202.84/202.76 [3862]E(f318(f163(x38621),f318(f318(f145(x38622,x38621),x38623),x38624)),f318(f301(x38622,x38621,x38623),f318(f163(x38622),x38624)))
% 202.84/202.76 [3875]E(f318(f318(f145(x38751,x38752),f318(f18(x38752,x38751),x38753)),x38754),f160(x38752,f318(f180(f921(x38751)),x38754),x38753))
% 202.84/202.76 [3911]E(f19(x39111,x39112,x39113,f318(a5,f318(a103,f318(a22,x39114)))),f318(x39113,x39114))
% 202.84/202.76 [3915]E(f318(f318(f125(x39151),f318(f127(x39151,x39152),x39153)),f318(f127(x39151,x39152),x39154)),f318(f127(x39151,x39152),f318(f318(f125(x39151),x39153),x39154)))
% 202.84/202.76 [3927]E(f143(x39271,f318(f318(f145(x39272,x39271),x39273),f143(x39272,x39274))),f143(x39271,f318(f318(f145(x39272,x39271),x39273),x39274)))
% 202.84/202.76 [3942]E(f318(f277(x39421,x39421),f318(f318(f279(x39422,x39421),x39423),x39424)),f318(f318(f279(x39422,x39421),f318(f277(x39422,x39422),x39423)),x39424))
% 202.84/202.76 [3954]E(f318(f318(f280(x39541,x39542,x39543),x39544),f179(f927(f926(x39542,x39543),a918))),f179(f927(f926(x39541,x39543),a918)))
% 202.84/202.76 [3955]E(f318(f318(f166(x39551),f318(f318(f3(a920),x39552),x39553)),f318(f318(f129(x39551),x39553),x39554)),f318(f318(f129(x39551),x39553),f318(f318(f166(x39551),x39552),x39554)))
% 202.84/202.76 [3974]E(f318(f318(f125(x39741),f160(x39741,x39742,x39743)),f160(x39741,x39744,x39743)),f160(x39741,f318(f318(f73(a920),x39742),x39744),x39743))
% 202.84/202.76 [3975]E(f318(f318(f318(f269(x39751),x39752),x39753),x39754),f318(f243(f927(a90,f927(a918,f924(f922(x39751)))),f926(a90,a90)),f318(f36(x39751),x39752)))
% 202.84/202.76 [4001]E(f32(f927(x40011,a918),f318(f301(x40012,f927(x40011,a918),x40013),x40014)),f318(f318(f34(x40012,f927(x40011,a918)),x40014),x40013))
% 202.84/202.76 [4002]E(f31(f927(x40021,a918),f318(f301(x40022,f927(x40021,a918),x40023),x40024)),f318(f318(f33(x40022,f927(x40021,a918)),x40024),x40023))
% 202.84/202.76 [4003]E(f318(f180(f921(f926(x40031,x40032))),f318(f318(f172(x40031,x40032),x40033),x40034)),f318(f318(f223(a920),f318(f180(f921(x40031)),x40033)),f318(f180(f921(x40032)),x40034)))
% 202.84/202.76 [4005]E(f318(f302(x40051,x40052,x40053),f318(f72(f927(x40052,a918)),x40054)),f318(f72(f927(x40051,a918)),f318(f302(x40051,x40052,x40053),x40054)))
% 202.84/202.76 [4054]E(f318(f302(x40541,x40542,x40543),f318(f253(x40542),x40544)),f318(f253(x40541),f318(f318(f10(x40542,a918,x40541),x40544),x40543)))
% 202.84/202.76 [4071]E(f318(f318(f155(x40711),f318(f318(f125(x40711),x40712),f318(f318(f142(x40711),x40713),x40714))),f318(f180(f921(x40711)),x40712)),x40713)
% 202.84/202.76 [4093]E(f318(f301(x40931,x40932,x40933),f318(f302(x40931,x40932,x40933),x40934)),f318(f318(f92(f927(x40932,a918)),x40934),f318(f301(x40931,x40932,x40933),f233(f927(x40931,a918)))))
% 202.84/202.76 [4112]P1(f318(f318(f320(x41121),f318(x41122,x41123)),f318(f301(x41124,x41121,x41122),f233(f927(x41124,a918)))))
% 202.84/202.76 [4121]E(f21(x41211,x41212,x41213,f318(a5,f318(a103,f318(a22,x41214)))),f318(f318(x41213,x41214),f21(x41211,x41212,x41213,x41214)))
% 202.84/202.76 [4125]E(f318(f318(f125(x41251),f160(x41251,x41252,x41253)),f318(f318(f142(x41251),x41253),x41254)),f318(f318(f142(x41251),x41253),f318(f318(f125(x41251),f160(x41251,x41252,x41253)),x41254)))
% 202.84/202.76 [4127]E(f318(f318(f245(x41271,x41272),f318(f163(x41271),x41273)),f318(f18(f927(x41272,a918),x41271),f318(f163(x41272),x41274))),f318(f163(f926(x41271,x41272)),f53(x41271,x41272,x41273,x41274)))
% 202.84/202.76 [4139]E(f146(x41391,x41392,f318(f318(f142(x41391),x41393),x41394)),f318(f318(f73(a920),f318(f318(f73(a920),f318(x41392,x41393)),f146(x41391,x41392,x41394))),f318(a103,f2(a920))))
% 202.84/202.76 [4152]E(f176(f921(x41521),f318(f318(f142(x41521),x41522),x41523),f318(f318(f9(a920,f921(x41521),f921(x41521)),f129(x41521)),x41523),x41524),f318(f318(f129(x41521),x41524),f318(f318(f142(x41521),x41522),x41523)))
% 202.84/202.76 [4153]P25(x41531,f926(x41532,x41531),f322(x41533,x41534,x41532,x41531),f318(f318(f33(x41532,f927(x41531,a918)),x41534),x41533))
% 202.84/202.76 [4162]E(f318(f318(f3(f927(x41621,a918)),f318(f318(f3(f927(x41621,a918)),x41622),x41623)),f318(f318(f300(x41621),x41624),f179(f927(x41621,a918)))),f318(f318(f3(f927(x41621,a918)),x41622),f318(f318(f300(x41621),x41624),x41623)))
% 202.84/202.76 [4175]E(f318(f318(f174(f927(x41751,x41752),f927(x41751,x41752)),x41753),f66(x41752,x41752,x41751,x41754)),f66(x41752,x41752,x41751,f318(f318(f174(x41752,x41752),x41753),x41754)))
% 202.84/202.76 [4246]E(f318(f318(f318(f174(f921(x42461),f921(x42461)),x42462),f158(x42461)),f318(f318(f318(f174(f921(x42461),f921(x42461)),x42463),f158(x42461)),x42464)),f318(f318(f318(f174(f921(x42461),f921(x42461)),f318(f318(f73(a920),x42462),x42463)),f158(x42461)),x42464))
% 202.84/202.76 [4331]P1(f318(f318(f225(f927(x43311,a918)),f318(f163(x43311),f318(f318(f150(x43311,x43312),x43313),x43314))),f318(f318(f300(x43311),x43314),f318(f163(x43311),x43312))))
% 202.84/202.76 [4363]E(f318(f318(f33(f927(x43631,a918),f927(f926(x43631,x43632),a918)),x43633),f318(f318(f9(f927(x43631,a918),f927(x43631,f927(x43632,a918)),f927(f926(x43631,x43632),a918)),f245(x43631,x43632)),x43634)),f318(f318(f245(x43631,x43632),f31(f927(x43631,a918),x43633)),x43634))
% 202.84/202.76 [4401]E(f200(x44011,x44012,x44013,f318(f66(x44012,f927(a90,f927(a90,f927(f926(a90,a90),f927(a90,f922(x44012))))),x44011,f199(x44012)),x44014)),f201(x44011,x44012,x44014,x44013))
% 202.84/202.76 [4416]E(f196(x44161,x44162,x44163,f318(f66(x44162,f927(a90,f927(a90,f927(f926(a90,a90),f927(a90,f922(f924(x44162)))))),x44161,f195(x44162)),x44164)),f197(x44161,x44162,x44164,x44163))
% 202.84/202.76 [4421]P1(f318(f60(x44211,x44212,x44213,x44214,f179(f927(x44211,a918))),x44214))
% 202.84/202.76 [4460]E(f318(f318(f33(x44601,f927(x44602,a918)),x44603),f318(f318(f9(x44601,f927(x44602,a918),f927(x44602,a918)),f318(f318(f10(x44602,f927(f927(x44602,a918),f927(x44602,a918)),x44601),f300(x44602)),x44604)),f179(f927(x44602,a918)))),f318(f301(x44601,x44602,x44604),x44603))
% 202.84/202.76 [4467]P1(f318(f318(f225(f927(x44671,a918)),f318(f275(x44672,x44671),f318(f318(f92(f927(f926(x44672,x44671),a918)),x44673),x44674))),f318(f318(f92(f927(x44671,a918)),f318(f275(x44672,x44671),x44673)),f318(f275(x44672,x44671),x44674))))
% 202.84/202.76 [4468]P1(f318(f318(f225(f927(x44681,a918)),f318(f255(x44681,x44682),f318(f318(f92(f927(f926(x44681,x44682),a918)),x44683),x44684))),f318(f318(f92(f927(x44681,a918)),f318(f255(x44681,x44682),x44683)),f318(f255(x44681,x44682),x44684))))
% 202.84/202.76 [4528]P1(f318(f318(f225(f927(f926(x45281,x45282),a918)),f318(f301(x45282,f926(x45281,x45282),f322(x45283,x45284,x45281,x45282)),f318(f318(f33(x45281,f927(x45282,a918)),x45284),x45283))),f318(f318(f245(x45281,x45282),x45284),x45283)))
% 202.84/202.76 [4529]E(f318(f109(x45291,f926(x45291,x45292),x45293),f318(f318(f10(f927(x45292,f922(f926(x45291,x45292))),f922(f926(x45291,x45292)),x45291),f109(x45292,f926(x45291,x45292),x45294)),f318(f318(f10(f927(x45292,f926(x45291,x45292)),f927(x45292,f922(f926(x45291,x45292))),x45291),f318(f10(f926(x45291,x45292),f922(f926(x45291,x45292)),x45292),f120(f926(x45291,x45292)))),f243(x45291,x45292)))),f122(x45291,x45292,x45293,x45294))
% 202.84/202.76 [4530]E(f267(x45301,x45302,x45303,f318(f66(x45302,f927(a90,f927(a90,f927(f926(a90,a90),f926(f927(a90,f927(a918,f924(f922(x45302)))),f926(a90,a90))))),x45301,f269(x45302)),x45304)),f270(x45301,x45302,x45304,x45303))
% 202.84/202.76 [4570]E(f78(f926(x45701,x45702),f318(f248(x45701,x45702,a918),f318(f318(f9(x45701,f927(x45702,a918),f927(x45702,a918)),f318(f318(f10(f927(a918,a918),f927(f927(x45702,a918),f927(x45702,a918)),x45701),f10(a918,a918,x45702)),f318(f318(f10(a918,f927(a918,a918),x45701),a316),f318(a315,x45703)))),f318(a315,x45704)))),f318(f318(f243(x45701,x45702),x45703),x45704))
% 202.84/202.76 [4571]E(f83(f926(x45711,x45712),f318(f248(x45711,x45712,a918),f318(f318(f9(x45711,f927(x45712,a918),f927(x45712,a918)),f318(f318(f10(f927(a918,a918),f927(f927(x45712,a918),f927(x45712,a918)),x45711),f10(a918,a918,x45712)),f318(f318(f10(a918,f927(a918,a918),x45711),a316),f318(a315,x45713)))),f318(a315,x45714)))),f318(f318(f243(x45711,x45712),x45713),x45714))
% 202.84/202.76 [4642]E(f318(f318(f248(f921(x46421),f921(x46421),f926(f921(x46421),f921(x46421))),f318(f318(f20(f921(x46421),f927(f921(x46421),f926(f921(x46421),f921(x46421))),f927(f921(x46421),f926(f921(x46421),f921(x46421)))),f318(f318(f10(f927(f921(x46421),f927(f926(f921(x46421),f921(x46421)),f926(f921(x46421),f921(x46421)))),f927(f927(f921(x46421),f926(f921(x46421),f921(x46421))),f927(f921(x46421),f926(f921(x46421),f921(x46421)))),f921(x46421)),f20(f921(x46421),f926(f921(x46421),f921(x46421)),f926(f921(x46421),f921(x46421)))),f318(f318(f10(f927(f921(x46421),f926(f921(x46421),f921(x46421))),f927(f921(x46421),f927(f926(f921(x46421),f921(x46421)),f926(f921(x46421),f921(x46421)))),f921(x46421)),f318(f10(f926(f921(x46421),f921(x46421)),f927(f926(f921(x46421),f921(x46421)),f926(f921(x46421),f921(x46421))),f921(x46421)),f318(f85(f926(f921(x46421),f921(x46421))),f318(x46422,x46423)))),f318(f318(f10(f921(x46421),f927(f921(x46421),f926(f921(x46421),f921(x46421))),f921(x46421)),f243(f921(x46421),f921(x46421))),f318(f142(x46421),x46423))))),f318(f318(f9(f921(x46421),f927(f921(x46421),f921(x46421)),f927(f921(x46421),f926(f921(x46421),f921(x46421)))),f318(f318(f10(f927(f921(x46421),f926(f921(x46421),f921(x46421))),f927(f927(f921(x46421),f921(x46421)),f927(f921(x46421),f926(f921(x46421),f921(x46421)))),f921(x46421)),f10(f921(x46421),f926(f921(x46421),f921(x46421)),f921(x46421))),f243(f921(x46421),f921(x46421)))),f318(f142(x46421),x46423)))),f157(x46421,x46422,x46424)),f157(x46421,x46422,f318(f318(f142(x46421),x46423),x46424)))
% 202.84/202.76 [3891]E(f318(f318(f166(x38911),x38912),f318(f318(f166(x38911),x38913),x38914)),f318(f318(f166(x38911),f318(f318(f223(a920),x38912),x38913)),x38914))
% 202.84/202.76 [3892]E(f318(f318(f129(x38921),x38922),f318(f318(f129(x38921),x38923),x38924)),f318(f318(f129(x38921),f318(f318(f73(a920),x38922),x38923)),x38924))
% 202.84/202.76 [3903]E(f318(f318(f125(x39031),f318(f318(f142(x39031),x39032),x39033)),x39034),f318(f318(f142(x39031),x39032),f318(f318(f125(x39031),x39033),x39034)))
% 202.84/202.76 [3904]E(f318(f318(f125(x39041),f318(f318(f125(x39041),x39042),x39043)),x39044),f318(f318(f125(x39041),x39042),f318(f318(f125(x39041),x39043),x39044)))
% 202.84/202.76 [3985]E(f318(f318(f155(x39851),f318(f318(f142(x39851),x39852),x39853)),x39854),f176(x39851,x39852,f318(f155(x39851),x39853),x39854))
% 202.84/202.76 [3994]E(f318(f318(f174(x39941,x39941),x39942),f318(f318(f174(x39941,x39941),x39943),x39944)),f318(f318(f174(x39941,x39941),f318(f318(f74(a920),x39943),x39942)),x39944))
% 202.84/202.76 [4021]E(f318(f318(f101(f927(x40211,a918)),x40212),f318(f318(f300(x40211),x40213),x40214)),f318(f318(f300(x40211),x40213),f318(f318(f101(f927(x40211,a918)),x40212),x40214)))
% 202.84/202.76 [4036]E(f318(f318(f318(f174(x40361,x40361),x40362),x40363),f318(x40363,x40364)),f318(x40363,f318(f318(f318(f174(x40361,x40361),x40362),x40363),x40364)))
% 202.84/202.76 [4045]E(f318(f318(f280(x40451,x40452,x40453),f179(f927(f926(x40451,x40452),a918))),x40454),f179(f927(f926(x40451,x40453),a918)))
% 202.84/202.76 [4059]E(f318(f318(f101(f927(x40591,a918)),f318(f318(f300(x40591),x40592),x40593)),x40594),f318(f318(f300(x40591),x40592),f318(f318(f101(f927(x40591,a918)),x40593),x40594)))
% 202.84/202.76 [4078]E(f318(f29(f926(x40781,x40782)),f318(f318(f245(x40781,x40782),x40783),f318(f18(f927(x40782,a918),x40781),x40784))),f318(f318(f74(a920),f318(f29(x40781),x40783)),f318(f29(x40782),x40784)))
% 202.84/202.76 [4084]E(f318(f318(f92(f927(x40841,a918)),f318(f318(f300(x40841),x40842),x40843)),f318(f318(f300(x40841),x40842),x40844)),f318(f318(f300(x40841),x40842),f318(f318(f92(f927(x40841,a918)),x40843),x40844)))
% 202.84/202.76 [4097]E(f318(f318(f92(f927(x40971,a918)),x40972),f318(f318(f92(f927(x40971,a918)),x40973),x40974)),f318(f318(f92(f927(x40971,a918)),x40973),f318(f318(f92(f927(x40971,a918)),x40972),x40974)))
% 202.84/202.76 [4098]E(f318(f318(f101(f927(x40981,a918)),x40982),f318(f318(f101(f927(x40981,a918)),x40983),x40984)),f318(f318(f101(f927(x40981,a918)),x40983),f318(f318(f101(f927(x40981,a918)),x40982),x40984)))
% 202.84/202.76 [4108]E(f58(x41081,x41082,f318(f318(f10(x41082,f927(x41082,x41082),x41081),x41083),x41084)),f318(f59(x41082,x41081,x41083),x41084))
% 202.84/202.76 [4117]E(f170(x41171,f318(f318(f145(f921(x41172),f921(x41171)),f318(f145(x41172,x41171),x41173)),x41174)),f318(f318(f145(f921(x41172),f921(x41171)),f318(f145(x41172,x41171),x41173)),f170(x41172,x41174)))
% 202.84/202.77 [4136]E(f318(f133(f921(x41361),f921(x41361),f125(x41361),f104(x41361)),f318(f318(f145(x41362,f921(x41361)),x41363),x41364)),f154(x41362,x41361,x41363,x41364))
% 202.84/202.77 [4193]E(f318(f66(x41931,x41931,x41931,f318(f318(f174(x41931,x41931),x41932),x41933)),f318(f318(f174(x41931,x41931),x41934),x41933)),f318(f318(f174(x41931,x41931),f318(f318(f73(a920),x41932),x41934)),x41933))
% 202.84/202.77 [4216]E(f318(f318(f101(f927(x42161,a918)),f318(f318(f92(f927(x42161,a918)),x42162),x42163)),f318(f318(f92(f927(x42161,a918)),x42162),x42164)),f318(f318(f92(f927(x42161,a918)),x42162),f318(f318(f101(f927(x42161,a918)),x42163),x42164)))
% 202.84/202.77 [4217]E(f318(f318(f3(f927(x42171,a918)),f318(f318(f92(f927(x42171,a918)),x42172),x42173)),f318(f318(f92(f927(x42171,a918)),x42172),x42174)),f318(f318(f92(f927(x42171,a918)),x42172),f318(f318(f3(f927(x42171,a918)),x42173),x42174)))
% 202.84/202.77 [4218]E(f318(f318(f92(f927(x42181,a918)),f318(f318(f101(f927(x42181,a918)),x42182),x42183)),f318(f318(f101(f927(x42181,a918)),x42182),x42184)),f318(f318(f101(f927(x42181,a918)),x42182),f318(f318(f92(f927(x42181,a918)),x42183),x42184)))
% 202.84/202.77 [4219]E(f318(f318(f101(f927(x42191,a918)),f318(f318(f3(f927(x42191,a918)),x42192),x42193)),f318(f318(f3(f927(x42191,a918)),x42192),x42194)),f318(f318(f3(f927(x42191,a918)),x42192),f318(f318(f92(f927(x42191,a918)),x42193),x42194)))
% 202.84/202.77 [4220]E(f318(f318(f92(f927(x42201,a918)),f318(f318(f3(f927(x42201,a918)),x42202),x42203)),f318(f318(f3(f927(x42201,a918)),x42202),x42204)),f318(f318(f3(f927(x42201,a918)),x42202),f318(f318(f101(f927(x42201,a918)),x42203),x42204)))
% 202.84/202.77 [4225]E(f318(f29(f926(x42251,x42252)),f318(f318(f245(x42251,x42252),f318(f318(f300(x42251),x42253),f179(f927(x42251,a918)))),f318(f18(f927(x42252,a918),x42251),x42254))),f318(f29(x42252),x42254))
% 202.84/202.77 [4260]E(f318(f318(f34(x42601,f927(x42602,a918)),x42603),f318(f318(f10(f927(x42602,a918),f927(x42602,a918),x42601),f72(f927(x42602,a918))),x42604)),f318(f72(f927(x42602,a918)),f318(f318(f33(x42601,f927(x42602,a918)),x42603),x42604)))
% 202.84/202.77 [4261]E(f318(f318(f33(x42611,f927(x42612,a918)),x42613),f318(f318(f10(f927(x42612,a918),f927(x42612,a918),x42611),f72(f927(x42612,a918))),x42614)),f318(f72(f927(x42612,a918)),f318(f318(f34(x42611,f927(x42612,a918)),x42613),x42614)))
% 202.84/202.77 [4277]E(f318(f318(f280(x42771,x42771,x42771),f318(f318(f174(f926(x42771,x42771),a918),x42772),x42773)),f318(f318(f174(f926(x42771,x42771),a918),x42774),x42773)),f318(f318(f174(f926(x42771,x42771),a918),f318(f318(f73(a920),x42772),x42774)),x42773))
% 202.84/202.77 [4307]E(f318(f318(f34(x43071,f927(f927(x43072,a918),a918)),x43073),f318(f318(f10(f927(x43072,a918),f927(f927(x43072,a918),a918),x43071),f299(x43072)),x43074)),f318(f299(x43072),f318(f318(f34(x43071,f927(x43072,a918)),x43073),x43074)))
% 202.84/202.77 [4336]E(f318(f318(f33(f927(x43361,a918),f927(x43362,a918)),x43363),f318(f318(f9(f927(x43361,a918),f927(x43361,f927(x43362,a918)),f927(x43362,a918)),f33(x43361,f927(x43362,a918))),x43364)),f318(f318(f33(x43361,f927(x43362,a918)),f31(f927(x43361,a918),x43363)),x43364))
% 202.84/202.77 [4337]E(f318(f318(f34(f927(x43371,a918),f927(x43372,a918)),x43373),f318(f318(f9(f927(x43371,a918),f927(x43371,f927(x43372,a918)),f927(x43372,a918)),f34(x43371,f927(x43372,a918))),x43374)),f318(f318(f34(x43371,f927(x43372,a918)),f31(f927(x43371,a918),x43373)),x43374))
% 202.84/202.77 [4342]E(f318(f318(f145(x43421,x43422),x43423),f318(f133(f921(x43421),f921(x43421),f125(x43421),f104(x43421)),x43424)),f318(f133(f921(x43422),f921(x43422),f125(x43422),f104(x43422)),f318(f318(f145(f921(x43421),f921(x43422)),f318(f145(x43421,x43422),x43423)),x43424)))
% 202.84/202.77 [4344]E(f176(f921(x43441),f104(x43441),f318(f318(f10(f921(x43441),f921(x43441),a920),f318(f142(x43441),x43442)),f318(f318(f9(a920,f921(x43441),f921(x43441)),f166(x43441)),x43443)),x43444),f318(f318(f166(x43441),x43444),f318(f318(f142(x43441),x43442),x43443)))
% 202.84/202.77 [4382]P1(f318(f318(f225(f927(x43821,a918)),f318(f301(x43822,x43821,x43823),f318(f302(x43822,x43821,x43823),x43824))),x43824))
% 202.84/202.77 [4384]E(f318(f301(f926(x43841,x43842),f926(x43842,x43841),f318(f248(x43841,x43842,f926(x43842,x43841)),f318(f9(x43842,x43841,f926(x43842,x43841)),f243(x43842,x43841)))),f318(f318(f245(x43841,x43842),x43843),f318(f18(f927(x43842,a918),x43841),x43844))),f318(f318(f245(x43842,x43841),x43844),f318(f18(f927(x43841,a918),x43842),x43843)))
% 202.84/202.77 [4393]E(f318(f318(f33(x43931,f927(x43932,a918)),x43933),f318(f318(f10(f927(x43931,a918),f927(x43932,a918),x43931),f276(x43931,x43932,x43934)),f318(f318(f9(x43931,f927(x43931,a918),f927(x43931,a918)),f300(x43931)),f179(f927(x43931,a918))))),f318(f276(x43931,x43932,x43934),x43933))
% 202.84/202.77 [4394]E(f318(f318(f33(x43941,f927(x43942,a918)),x43943),f318(f318(f10(f927(x43941,a918),f927(x43942,a918),x43941),f302(x43942,x43941,x43944)),f318(f318(f9(x43941,f927(x43941,a918),f927(x43941,a918)),f300(x43941)),f179(f927(x43941,a918))))),f318(f302(x43942,x43941,x43944),x43943))
% 202.84/202.77 [4481]E(f318(f318(f101(f927(x44811,a918)),f318(f318(f101(f927(x44811,a918)),f318(f318(f92(f927(x44811,a918)),x44812),x44813)),f318(f318(f92(f927(x44811,a918)),x44813),x44814))),f318(f318(f92(f927(x44811,a918)),x44814),x44812)),f318(f318(f92(f927(x44811,a918)),f318(f318(f92(f927(x44811,a918)),f318(f318(f101(f927(x44811,a918)),x44812),x44813)),f318(f318(f101(f927(x44811,a918)),x44813),x44814))),f318(f318(f101(f927(x44811,a918)),x44814),x44812)))
% 202.84/202.77 [4544]E(f318(f133(f921(x45441),f921(x45441),f125(x45441),f104(x45441)),f318(f318(f145(x45442,f921(x45441)),f318(f318(f9(x45442,f921(x45441),f921(x45441)),f318(f318(f10(x45441,f927(f921(x45441),f921(x45441)),x45442),f142(x45441)),x45443)),f104(x45441))),x45444)),f318(f318(f145(x45442,x45441),x45443),x45444))
% 202.84/202.77 [4554]E(f318(f318(f79(a1,x45541),f318(f94(a1),f318(f318(f73(a1),x45542),a88))),f318(f318(f20(a1,x45541,x45541),f318(f318(f9(a1,x45541,f927(x45541,x45541)),f318(f318(f10(a918,f927(x45541,f927(x45541,x45541)),a1),f85(x45541)),a184)),x45543)),f318(f318(f10(a920,x45541,a1),x45544),a95))),f176(x45541,x45543,x45544,f318(f94(a920),x45542)))
% 202.84/202.77 [4585]E(f318(f253(x45851),f318(f318(f10(f927(x45852,a918),a918,x45851),f80(x45852)),f318(f318(f10(f927(x45852,a918),f927(x45852,a918),x45851),f318(f20(x45852,a918,a918),f318(f318(f10(a918,f927(a918,a918),x45852),a316),f318(f318(f9(x45852,f927(x45852,a918),a918),f320(x45852)),x45853)))),f318(f9(x45852,x45851,a918),x45854)))),f318(f276(x45852,x45851,f318(f253(f926(x45852,x45851)),f318(f248(x45852,x45851,a918),x45854))),x45853))
% 202.84/202.77 [4720]~P1(f318(f318(f179(f927(x47201,f927(x47202,a918))),x47203),x47204))
% 202.84/202.77 [4048]E(f318(f318(f155(x40481),f318(f318(f125(x40481),x40482),x40483)),f318(f318(f73(a920),f318(f180(f921(x40481)),x40482)),x40484)),f318(f318(f155(x40481),x40483),x40484))
% 202.84/202.77 [4053]E(f318(f318(f129(x40531),x40532),f318(f318(f166(x40531),f318(f318(f73(a920),x40533),x40532)),x40534)),f318(f318(f166(x40531),x40533),f318(f318(f129(x40531),x40532),x40534)))
% 202.84/202.77 [4150]E(f318(f318(f101(f927(x41501,a918)),f318(f275(x41502,x41501),x41503)),f318(f275(x41502,x41501),x41504)),f318(f275(x41502,x41501),f318(f318(f101(f927(f926(x41502,x41501),a918)),x41503),x41504)))
% 202.84/202.77 [4151]E(f318(f318(f101(f927(x41511,a918)),f318(f255(x41511,x41512),x41513)),f318(f255(x41511,x41512),x41514)),f318(f255(x41511,x41512),f318(f318(f101(f927(f926(x41511,x41512),a918)),x41513),x41514)))
% 202.84/202.77 [4156]E(f318(f318(f92(f927(x41561,a918)),f318(f318(f92(f927(x41561,a918)),x41562),x41563)),x41564),f318(f318(f92(f927(x41561,a918)),x41562),f318(f318(f92(f927(x41561,a918)),x41563),x41564)))
% 202.84/202.77 [4157]E(f318(f318(f101(f927(x41571,a918)),f318(f318(f101(f927(x41571,a918)),x41572),x41573)),x41574),f318(f318(f101(f927(x41571,a918)),x41572),f318(f318(f101(f927(x41571,a918)),x41573),x41574)))
% 202.84/202.77 [4158]E(f318(f318(f3(f927(x41581,a918)),f318(f318(f92(f927(x41581,a918)),x41582),x41583)),x41584),f318(f318(f92(f927(x41581,a918)),x41582),f318(f318(f3(f927(x41581,a918)),x41583),x41584)))
% 202.84/202.77 [4195]E(f318(f318(f92(f927(f926(x41951,x41952),a918)),f318(f277(x41952,x41951),x41953)),f318(f277(x41952,x41951),x41954)),f318(f277(x41952,x41951),f318(f318(f92(f927(f926(x41952,x41951),a918)),x41953),x41954)))
% 202.84/202.77 [4196]E(f318(f318(f101(f927(f926(x41961,x41962),a918)),f318(f277(x41962,x41961),x41963)),f318(f277(x41962,x41961),x41964)),f318(f277(x41962,x41961),f318(f318(f101(f927(f926(x41962,x41961),a918)),x41963),x41964)))
% 202.84/202.77 [4209]E(f318(f318(f92(f927(x42091,f927(x42092,a918))),f234(x42092,x42091,x42093)),f234(x42092,x42091,x42094)),f234(x42092,x42091,f318(f318(f92(f927(x42092,f927(x42091,a918))),x42093),x42094)))
% 202.84/202.77 [4210]E(f318(f318(f101(f927(x42101,f927(x42102,a918))),f234(x42102,x42101,x42103)),f234(x42102,x42101,x42104)),f234(x42102,x42101,f318(f318(f101(f927(x42102,f927(x42101,a918))),x42103),x42104)))
% 202.84/202.77 [4264]E(f318(f318(f101(f927(x42641,a918)),f318(f318(f92(f927(x42641,a918)),x42642),x42643)),f318(f318(f92(f927(x42641,a918)),x42644),x42643)),f318(f318(f92(f927(x42641,a918)),f318(f318(f101(f927(x42641,a918)),x42642),x42644)),x42643))
% 202.84/202.77 [4265]E(f318(f318(f3(f927(x42651,a918)),f318(f318(f92(f927(x42651,a918)),x42652),x42653)),f318(f318(f92(f927(x42651,a918)),x42654),x42653)),f318(f318(f92(f927(x42651,a918)),f318(f318(f3(f927(x42651,a918)),x42652),x42654)),x42653))
% 202.84/202.77 [4266]E(f318(f318(f92(f927(x42661,a918)),f318(f318(f101(f927(x42661,a918)),x42662),x42663)),f318(f318(f101(f927(x42661,a918)),x42664),x42663)),f318(f318(f101(f927(x42661,a918)),f318(f318(f92(f927(x42661,a918)),x42662),x42664)),x42663))
% 202.84/202.77 [4267]E(f318(f318(f101(f927(x42671,a918)),f318(f318(f3(f927(x42671,a918)),x42672),x42673)),f318(f318(f3(f927(x42671,a918)),x42674),x42673)),f318(f318(f3(f927(x42671,a918)),f318(f318(f101(f927(x42671,a918)),x42672),x42674)),x42673))
% 202.84/202.77 [4268]E(f318(f318(f3(f927(x42681,a918)),f318(f318(f92(f927(x42681,a918)),x42682),x42683)),f318(f318(f92(f927(x42681,a918)),x42684),x42683)),f318(f318(f3(f927(x42681,a918)),f318(f318(f92(f927(x42681,a918)),x42682),x42683)),x42684))
% 202.84/202.77 [4280]E(f318(f318(f3(f927(x42801,a918)),f318(f318(f3(f927(x42801,a918)),x42802),f318(f318(f300(x42801),x42803),f179(f927(x42801,a918))))),x42804),f318(f318(f3(f927(x42801,a918)),x42802),f318(f318(f300(x42801),x42803),x42804)))
% 202.84/202.77 [4333]E(f318(f318(f101(f927(x43331,a918)),f318(f318(f300(x43331),x43332),f318(f318(f300(x43331),x43333),f179(f927(x43331,a918))))),f318(f272(x43331),x43334)),f318(f272(x43331),f318(f318(f300(f926(x43331,x43331)),f318(f318(f243(x43331,x43331),x43332),x43333)),x43334)))
% 202.84/202.77 [4358]E(f318(f318(f33(a920,f927(x43581,a918)),f318(f292(a920),x43582)),f318(f318(f10(a920,f927(x43581,a918),a920),x43583),f318(f318(f9(a920,a920,a920),f73(a920)),x43584))),f318(f318(f33(a920,f927(x43581,a918)),f294(a920,x43584,f318(f318(f73(a920),x43582),x43584))),x43583))
% 202.84/202.77 [4359]E(f165(x43591,f318(f276(x43591,x43591,x43592),f318(f318(f300(x43591),x43593),f179(f927(x43591,a918)))),f318(f276(f921(x43591),f921(x43591),f149(x43591,x43592)),f318(f318(f300(f921(x43591)),x43594),f179(f927(f921(x43591),a918))))),f318(f276(f921(x43591),f921(x43591),f149(x43591,x43592)),f318(f318(f300(f921(x43591)),f318(f318(f142(x43591),x43593),x43594)),f179(f927(f921(x43591),a918)))))
% 202.84/202.77 [4423]E(f318(f253(x44231),f318(f318(f9(x44231,f927(x44232,a918),a918),f318(f318(f10(x44232,f927(f927(x44232,a918),a918),x44231),f320(x44232)),x44233)),x44234)),f318(f302(x44231,x44232,x44233),x44234))
% 202.84/202.77 [4513]E(f318(f253(x45131),f318(f318(f9(x45131,f927(f926(x45132,x45131),a918),a918),f318(f318(f10(f926(x45132,x45131),f927(f927(f926(x45132,x45131),a918),a918),x45131),f320(f926(x45132,x45131))),f318(f243(x45132,x45131),x45133))),x45134)),f318(f276(x45132,x45131,x45134),f318(f318(f300(x45132),x45133),f179(f927(x45132,a918)))))
% 202.84/202.77 [4527]E(f318(f318(f145(f926(x45271,a920),x45271),f242(x45271,a920)),f318(f127(f926(x45271,a920),f318(f318(f10(a920,a918,f926(x45271,a920)),x45272),f318(f318(f10(a920,a920,f926(x45271,a920)),a103),f247(x45271,a920)))),f318(f318(f172(x45271,a920),x45273),x45274))),f318(f318(f145(f926(x45271,a920),x45271),f242(x45271,a920)),f318(f127(f926(x45271,a920),f318(f318(f10(a920,a918,f926(x45271,a920)),x45272),f247(x45271,a920))),f318(f318(f172(x45271,a920),x45273),f318(f318(f145(a920,a920),a103),x45274)))))
% 202.84/202.77 [4536]P1(f318(f318(f225(f927(f927(x45361,a918),a918)),f318(f318(f33(x45362,f927(f927(x45361,a918),a918)),x45363),f318(f318(f10(f927(x45361,a918),f927(f927(x45361,a918),a918),x45362),f299(x45361)),x45364))),f318(f299(x45361),f318(f318(f33(x45362,f927(x45361,a918)),x45363),x45364))))
% 202.84/202.77 [4577]E(f318(f318(f79(a1,x45771),f318(f94(a1),f318(f318(f73(a1),x45772),a88))),f318(f318(f20(a1,x45771,x45771),f318(f318(f9(a1,x45771,f927(x45771,x45771)),f318(f318(f10(a918,f927(x45771,f927(x45771,x45771)),a1),f85(x45771)),a184)),x45773)),f318(f318(f20(a1,x45771,x45771),f318(f318(f10(a920,f927(x45771,x45771),a1),x45774),a95)),f318(f318(f10(a920,x45771,a1),f175(x45771,x45773,x45774)),a95)))),f318(f175(x45771,x45773,x45774),f318(f94(a920),x45772)))
% 202.84/202.77 [4601]E(f318(f253(f926(x46011,x46012)),f318(f248(x46011,x46012,a918),f318(f318(f9(x46011,f927(x46012,a918),f927(x46012,a918)),f318(f318(f10(f927(a918,a918),f927(f927(x46012,a918),f927(x46012,a918)),x46011),f10(a918,a918,x46012)),f318(f318(f10(a918,f927(a918,a918),x46011),a316),f318(f318(f9(x46011,f927(x46011,a918),a918),f320(x46011)),x46013)))),f318(f318(f9(x46012,f927(x46012,a918),a918),f320(x46012)),x46014)))),f220(x46011,x46012,x46013,x46014))
% 202.84/202.77 [4637]E(f318(f318(f33(x46371,f927(f926(x46371,x46372),a918)),x46373),f318(f318(f20(x46371,f927(x46372,f927(f926(x46371,x46372),a918)),f927(f926(x46371,x46372),a918)),f318(f318(f10(f927(x46372,a918),f927(f927(x46372,f927(f926(x46371,x46372),a918)),f927(f926(x46371,x46372),a918)),x46371),f33(x46372,f927(f926(x46371,x46372),a918))),x46374)),f318(f318(f9(x46371,f927(f926(x46371,x46372),a918),f927(x46372,f927(f926(x46371,x46372),a918))),f318(f318(f10(f927(x46372,f927(f927(f926(x46371,x46372),a918),f927(f926(x46371,x46372),a918))),f927(f927(f926(x46371,x46372),a918),f927(x46372,f927(f926(x46371,x46372),a918))),x46371),f9(x46372,f927(f926(x46371,x46372),a918),f927(f926(x46371,x46372),a918))),f318(f318(f10(f927(x46372,f926(x46371,x46372)),f927(x46372,f927(f927(f926(x46371,x46372),a918),f927(f926(x46371,x46372),a918))),x46371),f318(f10(f926(x46371,x46372),f927(f927(f926(x46371,x46372),a918),f927(f926(x46371,x46372),a918)),x46372),f300(f926(x46371,x46372)))),f243(x46371,x46372)))),f179(f927(f926(x46371,x46372),a918))))),f318(f318(f245(x46371,x46372),x46373),x46374))
% 202.84/202.77 [4204]E(f318(f318(f125(x42041),f318(f318(f166(x42041),x42042),x42043)),f318(f318(f166(x42041),f318(f318(f3(a920),x42042),f318(f180(f921(x42041)),x42043))),x42044)),f318(f318(f166(x42041),x42042),f318(f318(f125(x42041),x42043),x42044)))
% 202.84/202.77 [4205]E(f318(f318(f125(x42051),f318(f318(f129(x42051),x42052),x42053)),f318(f318(f129(x42051),f318(f318(f3(a920),x42052),f318(f180(f921(x42051)),x42053))),x42054)),f318(f318(f129(x42051),x42052),f318(f318(f125(x42051),x42053),x42054)))
% 202.84/202.77 [4254]E(f318(f318(f73(a920),f318(f318(f74(a920),x42541),x42542)),f318(f318(f73(a920),f318(f318(f74(a920),x42543),x42542)),x42544)),f318(f318(f73(a920),f318(f318(f74(a920),f318(f318(f73(a920),x42541),x42543)),x42542)),x42544))
% 202.84/202.77 [4399]E(f83(x43991,f318(f318(f9(x43991,x43992,a918),f318(f318(f10(x43992,f927(x43992,a918),x43991),a315),x43993)),x43994)),f318(f84(x43991,x43992,f233(f927(x43991,a918)),x43993),x43994))
% 202.84/202.77 [4447]P1(f318(f318(f225(f927(x44471,a918)),f318(f318(f3(f927(x44471,a918)),f318(f275(x44472,x44471),x44473)),f318(f275(x44472,x44471),x44474))),f318(f275(x44472,x44471),f318(f318(f3(f927(f926(x44472,x44471),a918)),x44473),x44474))))
% 202.84/202.77 [4448]P1(f318(f318(f225(f927(x44481,a918)),f318(f318(f3(f927(x44481,a918)),f318(f255(x44481,x44482),x44483)),f318(f255(x44481,x44482),x44484))),f318(f255(x44481,x44482),f318(f318(f3(f927(f926(x44481,x44482),a918)),x44483),x44484))))
% 202.84/202.77 [4556]E(f318(f318(f73(a1),f318(a82,f318(f276(f926(a920,a920),f926(a920,a920),a99),f318(f318(f300(f926(a920,a920)),f318(f318(f243(a920,a920),x45561),x45562)),f179(f927(f926(a920,a920),a918)))))),f318(a82,f318(f276(f926(a920,a920),f926(a920,a920),a99),f318(f318(f300(f926(a920,a920)),f318(f318(f243(a920,a920),x45563),x45564)),f179(f927(f926(a920,a920),a918)))))),f318(a82,f318(f276(f926(a920,a920),f926(a920,a920),a99),f318(f318(f300(f926(a920,a920)),f318(f318(f243(a920,a920),f318(f318(f73(a920),x45561),x45563)),f318(f318(f73(a920),x45562),x45564))),f179(f927(f926(a920,a920),a918))))))
% 202.84/202.77 [4596]E(f318(f318(f74(a1),f318(a82,f318(f276(f926(a920,a920),f926(a920,a920),a99),f318(f318(f300(f926(a920,a920)),f318(f318(f243(a920,a920),x45961),x45962)),f179(f927(f926(a920,a920),a918)))))),f318(a82,f318(f276(f926(a920,a920),f926(a920,a920),a99),f318(f318(f300(f926(a920,a920)),f318(f318(f243(a920,a920),x45963),x45964)),f179(f927(f926(a920,a920),a918)))))),f318(a82,f318(f276(f926(a920,a920),f926(a920,a920),a99),f318(f318(f300(f926(a920,a920)),f318(f318(f243(a920,a920),f318(f318(f73(a920),f318(f318(f74(a920),x45961),x45963)),f318(f318(f74(a920),x45962),x45964))),f318(f318(f73(a920),f318(f318(f74(a920),x45961),x45964)),f318(f318(f74(a920),x45962),x45963)))),f179(f927(f926(a920,a920),a918))))))
% 202.84/202.77 [4617]E(f318(f253(x46171),f318(f318(f10(f927(x46172,a918),a918,x46171),f81(x46172)),f318(f318(f10(f927(x46172,a918),f927(x46172,a918),x46171),f318(f20(x46172,a918,a918),f318(f318(f10(a918,f927(a918,a918),x46172),a321),f318(f318(f9(x46172,f927(x46172,a918),a918),f320(x46172)),x46173)))),f318(f318(f9(x46171,f927(x46172,f927(x46171,a918)),f927(x46172,a918)),f318(f318(f10(f927(f927(x46171,a918),a918),f927(f927(x46172,f927(x46171,a918)),f927(x46172,a918)),x46171),f10(f927(x46171,a918),a918,x46172)),f320(x46171))),x46174)))),f318(f318(f34(x46172,f927(x46171,a918)),x46173),x46174))
% 202.84/202.77 [4649]E(f318(f318(f280(x46491,x46491,x46491),f318(f318(f300(f926(x46491,x46491)),f318(f318(f243(x46491,x46491),x46492),x46493)),x46494)),f298(x46491,f318(f318(f300(f926(x46491,x46491)),f318(f318(f243(x46491,x46491),x46492),x46493)),x46494))),f318(f318(f101(f927(f926(x46491,x46491),a918)),f318(f318(f280(x46491,x46491,x46491),x46494),f298(x46491,x46494))),f318(f253(f926(x46491,x46491)),f318(f248(x46491,x46491,a918),f318(f318(f9(x46491,f927(x46491,a918),f927(x46491,a918)),f318(f318(f10(f927(a918,a918),f927(f927(x46491,a918),f927(x46491,a918)),x46491),f10(a918,a918,x46491)),f318(f318(f10(a918,f927(a918,a918),x46491),a316),f318(f318(f9(x46491,f927(f926(x46491,x46491),a918),a918),f318(f318(f10(f926(x46491,x46491),f927(f927(f926(x46491,x46491),a918),a918),x46491),f320(f926(x46491,x46491))),f318(f318(f9(x46491,x46491,f926(x46491,x46491)),f243(x46491,x46491)),x46492))),f298(x46491,x46494))))),f318(f318(f9(x46491,f927(f926(x46491,x46491),a918),a918),f318(f318(f10(f926(x46491,x46491),f927(f927(f926(x46491,x46491),a918),a918),x46491),f320(f926(x46491,x46491))),f318(f243(x46491,x46491),x46493))),f298(x46491,x46494)))))))
% 202.84/202.77 [4449]E(f318(f127(x44491,f318(f318(f20(x44491,a918,a918),f318(f318(f10(a918,f927(a918,a918),x44491),a316),x44492)),x44493)),x44494),f318(f127(x44491,x44493),f318(f127(x44491,x44492),x44494)))
% 202.84/202.77 [4550]E(f318(f318(f125(x45501),f318(f318(f318(f85(f921(x45501)),f318(f318(f320(a920),f2(a920)),x45502)),f318(f318(f142(x45501),x45503),f104(x45501))),f104(x45501))),f167(x45501,x45504,f318(f253(a920),f318(f318(f9(a920,f927(a920,a918),a918),f318(f318(f10(a920,f927(f927(a920,a918),a918),a920),f320(a920)),a103)),x45502)))),f167(x45501,f318(f318(f142(x45501),x45503),x45504),x45502))
% 202.84/202.77 [4645]E(f318(f253(f926(x46451,x46452)),f318(f318(f10(f927(a920,a918),a918,f926(x46451,x46452)),f80(a920)),f318(f318(f9(f926(x46451,x46452),f927(a920,a918),f927(a920,a918)),f318(f318(f10(f927(a920,f927(a918,a918)),f927(f927(a920,a918),f927(a920,a918)),f926(x46451,x46452)),f20(a920,a918,a918)),f318(f318(f10(f927(a920,a918),f927(a920,f927(a918,a918)),f926(x46451,x46452)),f318(f10(a918,f927(a918,a918),a920),a316)),f318(f318(f9(f926(x46451,x46452),f927(a920,f926(x46451,x46452)),f927(a920,a918)),f318(f318(f10(f927(f926(x46451,x46452),a918),f927(f927(a920,f926(x46451,x46452)),f927(a920,a918)),f926(x46451,x46452)),f10(f926(x46451,x46452),a918,a920)),a315)),f318(f318(f20(a920,x46452,f926(x46451,x46452)),f318(f318(f10(x46451,f927(x46452,f926(x46451,x46452)),a920),f243(x46451,x46452)),f318(f155(x46451),x46453))),f318(f155(x46452),x46454)))))),f318(f318(f9(a920,a920,a918),f226(a920)),f318(f318(f223(a920),f318(f180(f921(x46451)),x46453)),f318(f180(f921(x46452)),x46454)))))),f318(f163(f926(x46451,x46452)),f318(f318(f172(x46451,x46452),x46453),x46454)))
% 202.84/202.77 [4569]E(f318(f253(f926(x45691,x45692)),f318(f248(x45691,x45692,a918),f318(f318(f9(x45691,f927(x45692,a918),f927(x45692,a918)),f318(f318(f10(f927(a918,a918),f927(f927(x45692,a918),f927(x45692,a918)),x45691),f10(a918,a918,x45692)),f318(f318(f10(a918,f927(a918,a918),x45691),a316),x45693))),x45694))),f318(f318(f245(x45691,x45692),f318(f253(x45691),x45693)),f318(f18(f927(x45692,a918),x45691),f318(f253(x45692),x45694))))
% 202.84/202.77 [4572]E(f318(f253(f926(x45721,x45722)),f318(f248(x45721,x45722,a918),f318(f318(f20(x45721,f927(x45722,a918),f927(x45722,a918)),f318(f318(f10(f927(a918,a918),f927(f927(x45722,a918),f927(x45722,a918)),x45721),f10(a918,a918,x45722)),f318(f318(f10(a918,f927(a918,a918),x45721),a316),x45723))),x45724))),f318(f318(f245(x45721,x45722),f318(f253(x45721),x45723)),f318(f318(f10(f927(x45722,a918),f927(x45722,a918),x45721),f253(x45722)),x45724)))
% 202.84/202.77 [4584]E(f318(f253(x45841),f318(f318(f10(f927(x45842,a918),a918,x45841),f81(x45842)),f318(f318(f10(f927(x45842,a918),f927(x45842,a918),x45841),f318(f20(x45842,a918,a918),f318(f318(f10(a918,f927(a918,a918),x45842),a321),f318(f318(f9(x45842,f927(x45842,a918),a918),f320(x45842)),x45843)))),x45844))),f318(f318(f34(x45842,f927(x45841,a918)),x45843),f318(f318(f10(f927(x45841,a918),f927(x45841,a918),x45842),f253(x45841)),f318(f9(x45841,x45842,a918),x45844))))
% 202.84/202.77 [4629]E(f318(f318(f145(f926(x46291,a920),x46291),f242(x46291,a920)),f318(f127(f926(x46291,a920),f318(f318(f9(f926(x46291,a920),f927(a920,a918),a918),f318(f318(f10(a920,f927(f927(a920,a918),a918),f926(x46291,a920)),f320(a920)),f247(x46291,a920))),x46292)),f318(f318(f172(x46291,a920),x46293),f130(a920,f318(f293(a920,x46294),f318(f318(f73(a920),x46294),f318(f180(f921(x46291)),x46293))))))),f318(f318(f145(f926(x46291,a920),x46291),f242(x46291,a920)),f318(f127(f926(x46291,a920),f318(f318(f9(f926(x46291,a920),f927(a920,a918),a918),f318(f318(f10(a920,f927(f927(a920,a918),a918),f926(x46291,a920)),f320(a920)),f318(f318(f9(f926(x46291,a920),a920,a920),f318(f318(f10(a920,f927(a920,a920),f926(x46291,a920)),f73(a920)),f247(x46291,a920))),x46294))),x46292)),f318(f318(f172(x46291,a920),x46293),f130(a920,f318(f293(a920,f2(a920)),f318(f180(f921(x46291)),x46293)))))))
% 202.84/202.77 [4630]E(f318(a103,f318(f318(f224(a920),f318(f180(f921(x46301)),x46302)),f318(f133(a920,f921(x46303),f318(f9(f921(x46303),a920,a920),f318(f318(f10(a920,f927(a920,a920),f921(x46303)),f224(a920)),f318(f318(f9(f921(x46303),a920,a920),f318(f318(f10(a920,f927(a920,a920),f921(x46303)),f3(a920)),f180(f921(x46303)))),f318(a103,f2(a920))))),f2(a920)),f318(f159(f921(x46303)),f318(f127(f921(x46303),f318(f318(f10(a918,a918,f921(x46303)),a313),f318(f318(f9(f921(x46303),f921(x46303),a918),a315),f104(x46303)))),x46304))))),f318(f318(f224(a920),f318(a103,f318(f180(f921(x46301)),x46302))),f318(f133(a920,f921(x46303),f318(f9(f921(x46303),a920,a920),f318(f318(f10(a920,f927(a920,a920),f921(x46303)),f224(a920)),f180(f921(x46303)))),f2(a920)),f318(f159(f921(x46303)),x46304))))
% 202.84/202.77 [4583]E(f318(f318(f125(x45831),f167(x45831,x45832,x45833)),f167(x45831,x45834,f318(f253(a920),f318(f318(f9(a920,f927(a920,a918),a918),f318(f318(f10(a920,f927(f927(a920,a918),a918),a920),f320(a920)),f318(f318(f9(a920,a920,a920),f73(a920)),f318(f180(f921(x45831)),x45832)))),x45833)))),f167(x45831,f318(f318(f125(x45831),x45832),x45834),x45833))
% 202.84/202.77 [4631]E(f31(f927(x46311,a918),f318(f253(f927(x46311,a918)),f318(f318(f10(f927(x46312,a918),a918,f927(x46311,a918)),f80(x46312)),f318(f318(f10(f927(x46312,a918),f927(x46312,a918),f927(x46311,a918)),f318(f20(x46312,a918,a918),f318(f318(f10(a918,f927(a918,a918),x46312),a316),f318(f318(f9(x46312,f927(x46312,a918),a918),f320(x46312)),x46313)))),f318(f318(f9(f927(x46311,a918),f927(x46312,f927(x46311,a918)),f927(x46312,a918)),f318(f318(f10(f927(f927(x46311,a918),a918),f927(f927(x46312,f927(x46311,a918)),f927(x46312,a918)),f927(x46311,a918)),f10(f927(x46311,a918),a918,x46312)),a315)),x46314))))),f318(f318(f33(x46312,f927(x46311,a918)),x46313),x46314))
% 202.84/202.77 [4632]E(f32(f927(x46321,a918),f318(f253(f927(x46321,a918)),f318(f318(f10(f927(x46322,a918),a918,f927(x46321,a918)),f80(x46322)),f318(f318(f10(f927(x46322,a918),f927(x46322,a918),f927(x46321,a918)),f318(f20(x46322,a918,a918),f318(f318(f10(a918,f927(a918,a918),x46322),a316),f318(f318(f9(x46322,f927(x46322,a918),a918),f320(x46322)),x46323)))),f318(f318(f9(f927(x46321,a918),f927(x46322,f927(x46321,a918)),f927(x46322,a918)),f318(f318(f10(f927(f927(x46321,a918),a918),f927(f927(x46322,f927(x46321,a918)),f927(x46322,a918)),f927(x46321,a918)),f10(f927(x46321,a918),a918,x46322)),a315)),x46324))))),f318(f318(f34(x46322,f927(x46321,a918)),x46323),x46324))
% 202.84/202.77 [4639]E(f318(f318(f142(f921(x46391)),f318(f318(f142(x46391),x46392),f318(f133(f921(x46391),f921(x46391),f125(x46391),f104(x46391)),f318(f318(f145(f921(x46391),f921(x46391)),f147(f921(x46391),x46391,f104(x46391),f318(f318(f10(f921(x46391),f927(f921(x46391),f921(x46391)),x46391),f18(f921(x46391),f921(x46391))),f318(f318(f9(x46391,f921(x46391),f921(x46391)),f142(x46391)),f104(x46391))))),x46393)))),f170(x46391,f318(f318(f142(f921(x46391)),x46394),f318(f133(f921(f921(x46391)),f921(f921(x46391)),f125(f921(x46391)),f104(f921(x46391))),f318(f318(f145(f921(x46391),f921(f921(x46391))),f147(f921(f921(x46391)),x46391,f104(f921(x46391)),f318(f18(f927(f921(x46391),f921(f921(x46391))),x46391),f318(f318(f9(f921(x46391),f921(f921(x46391)),f921(f921(x46391))),f142(f921(x46391))),f104(f921(x46391)))))),x46393))))),f170(x46391,f318(f318(f142(f921(x46391)),f318(f318(f142(x46391),x46392),x46394)),x46393)))
% 202.84/202.77 [4646]E(f318(f253(f926(x46461,x46461)),f318(f248(x46461,x46461,a918),f318(f318(f9(x46461,f927(f926(x46462,x46462),a918),f927(x46461,a918)),f318(f318(f10(f927(x46461,f927(f927(f926(x46462,x46462),a918),a918)),f927(f927(f926(x46462,x46462),a918),f927(x46461,a918)),x46461),f9(x46461,f927(f926(x46462,x46462),a918),a918)),f318(f318(f10(f927(x46461,f926(x46462,x46462)),f927(x46461,f927(f927(f926(x46462,x46462),a918),a918)),x46461),f318(f10(f926(x46462,x46462),f927(f927(f926(x46462,x46462),a918),a918),x46461),f320(f926(x46462,x46462)))),f318(f318(f9(x46461,f927(x46461,x46462),f927(x46461,f926(x46462,x46462))),f318(f318(f10(f927(x46462,f926(x46462,x46462)),f927(f927(x46461,x46462),f927(x46461,f926(x46462,x46462))),x46461),f10(x46462,f926(x46462,x46462),x46461)),f318(f318(f10(x46462,f927(x46462,f926(x46462,x46462)),x46461),f243(x46462,x46462)),x46463))),x46463)))),x46464))),f318(f318(f279(x46462,x46461),x46464),x46463))
% 202.84/202.77 [3787]E(f318(f318(f145(x37871,x37872),x37873),f160(x37871,x37874,x37875)),f160(x37872,x37874,f318(x37873,x37875)))
% 202.84/202.77 [4118]E(f121(x41181,x41182,x41183,f117(x41181,x41184,x41185)),f117(x41182,f318(x41183,x41184),f121(x41181,x41182,x41183,x41185)))
% 202.84/202.77 [4348]E(f318(f68(x43481,x43482,x43483,x43484,x43485),x43484),x43485)
% 202.84/202.77 [4400]E(f244(x44001,x44002,x44003,f234(x44002,x44001,x44004),f234(x44003,x44002,x44005)),f234(x44003,x44001,f244(x44003,x44002,x44001,x44005,x44004)))
% 202.84/202.77 [3979]E(f318(f318(f248(x39791,x39792,x39793),x39794),x39795),f318(f318(x39794,f318(f242(x39791,x39792),x39795)),f318(f247(x39791,x39792),x39795)))
% 202.84/202.77 [4013]E(f318(f318(f318(f59(x40131,x40132,x40133),x40134),x40135),f179(f927(x40132,a918))),x40135)
% 202.84/202.77 [4288]E(f318(f66(f921(x42881),f921(x42882),f921(x42883),f318(f145(x42881,x42882),x42884)),f318(f145(x42883,x42881),x42885)),f318(f145(x42883,x42882),f318(f66(x42881,x42882,x42883,x42884),x42885)))
% 202.84/202.77 [4362]E(f78(x43621,f60(x43622,x43621,x43623,x43624,x43625)),f318(f318(f58(x43622,x43621,x43623),x43624),x43625))
% 202.84/202.77 [4396]E(f318(f318(f73(a920),f318(f318(f73(a920),f318(x43961,f318(f242(x43962,x43963),x43964))),f318(x43965,f318(f247(x43962,x43963),x43964)))),f318(a103,f2(a920))),f252(x43962,x43963,x43961,x43965,x43964))
% 202.84/202.77 [3916]E(f318(f318(f166(x39161),x39162),f318(f318(f145(x39163,x39161),x39164),x39165)),f318(f318(f145(x39163,x39161),x39164),f318(f318(f166(x39163),x39162),x39165)))
% 202.84/202.77 [3917]E(f318(f318(f129(x39171),x39172),f318(f318(f145(x39173,x39171),x39174),x39175)),f318(f318(f145(x39173,x39171),x39174),f318(f318(f129(x39173),x39172),x39175)))
% 202.84/202.77 [3948]E(f318(f318(f145(x39481,x39482),x39483),f318(f318(f142(x39481),x39484),x39485)),f318(f318(f142(x39482),f318(x39483,x39484)),f318(f318(f145(x39481,x39482),x39483),x39485)))
% 202.84/202.77 [4009]E(f318(f301(x40091,x40092,x40093),f318(f318(f300(x40091),x40094),x40095)),f318(f318(f300(x40092),f318(x40093,x40094)),f318(f301(x40091,x40092,x40093),x40095)))
% 202.84/202.77 [4037]E(f164(x40371,f318(f318(f142(x40371),x40372),x40373),f318(f318(f142(x40371),x40374),x40375)),f318(f318(f142(x40371),x40372),f318(f318(f142(x40371),x40374),f164(x40371,x40373,x40375))))
% 202.84/202.77 [4073]E(f318(f318(f172(x40731,x40732),f318(f318(f166(x40731),x40733),x40734)),f318(f318(f166(x40732),x40733),x40735)),f318(f318(f166(f926(x40731,x40732)),x40733),f318(f318(f172(x40731,x40732),x40734),x40735)))
% 202.84/202.77 [4074]E(f318(f318(f172(x40741,x40742),f318(f318(f129(x40741),x40743),x40744)),f318(f318(f129(x40742),x40743),x40745)),f318(f318(f129(f926(x40741,x40742)),x40743),f318(f318(f172(x40741,x40742),x40744),x40745)))
% 202.84/202.77 [4083]E(f318(f318(f150(x40831,f318(f318(f142(x40831),x40832),x40833)),f318(a103,x40834)),x40835),f318(f318(f142(x40831),x40832),f318(f318(f150(x40831,x40833),x40834),x40835)))
% 202.84/202.77 [4086]E(f318(f318(f125(x40861),f318(f318(f145(x40862,x40861),x40863),x40864)),f318(f318(f145(x40862,x40861),x40863),x40865)),f318(f318(f145(x40862,x40861),x40863),f318(f318(f125(x40862),x40864),x40865)))
% 202.84/202.77 [4090]E(f318(f318(x40901,x40902),f318(f318(f236(x40903,x40904,x40901),x40902),x40905)),f318(f318(f236(x40903,x40904,x40901),x40902),f318(a103,x40905)))
% 202.84/202.77 [4122]E(f154(x41221,x41222,x41223,f318(f318(f142(x41221),x41224),x41225)),f318(f318(f125(x41222),f318(x41223,x41224)),f154(x41221,x41222,x41223,x41225)))
% 202.84/202.77 [4134]E(f318(f318(f280(x41341,x41342,x41343),f318(f277(x41342,x41341),x41344)),f318(f277(x41343,x41342),x41345)),f318(f277(x41343,x41341),f318(f318(f280(x41343,x41342,x41341),x41345),x41344)))
% 202.84/202.77 [4166]E(f318(f318(f318(f174(f921(x41661),f921(x41661)),x41662),f158(x41661)),f318(f318(f145(x41663,x41661),x41664),x41665)),f318(f318(f145(x41663,x41661),x41664),f318(f318(f318(f174(f921(x41663),f921(x41663)),x41662),f158(x41663)),x41665)))
% 202.84/202.77 [4167]E(f318(f318(f250(x41671,x41672,x41671,x41673),f318(f243(x41672,x41671),x41674)),x41675),f318(x41675,x41674))
% 202.84/202.77 [4190]E(f146(x41901,x41902,f318(f318(f145(x41903,x41901),x41904),x41905)),f146(x41903,f318(f66(x41901,a920,x41903,x41902),x41904),x41905))
% 202.84/202.77 [4253]E(f168(f926(x42531,x42532),f318(f66(x42532,a918,f926(x42531,x42532),x42533),f247(x42531,x42532)),f318(f318(f172(x42531,x42532),x42534),x42535)),f318(f318(f172(x42531,x42532),x42534),f168(x42532,x42533,x42535)))
% 202.84/202.77 [4258]E(f318(f301(x42581,x42582,f318(f318(f10(x42583,x42582,x42581),x42584),x42585)),f233(f927(x42581,a918))),f318(f301(x42583,x42582,x42584),f318(f301(x42581,x42583,x42585),f233(f927(x42581,a918)))))
% 202.84/202.77 [4271]E(f168(f926(x42711,x42712),f318(f66(x42711,a918,f926(x42711,x42712),x42713),f242(x42711,x42712)),f318(f318(f172(x42711,x42712),x42714),x42715)),f318(f318(f172(x42711,x42712),f168(x42711,x42713,x42714)),x42715))
% 202.84/202.77 [4292]E(f318(f318(f101(f927(x42921,a918)),f318(f302(x42921,x42922,x42923),f318(f318(f300(x42922),x42924),f179(f927(x42922,a918))))),f318(f302(x42921,x42922,x42923),x42925)),f318(f302(x42921,x42922,x42923),f318(f318(f300(x42922),x42924),x42925)))
% 202.84/202.77 [4347]E(f318(f318(f125(f926(x43471,x43472)),f318(f318(f145(x43472,f926(x43471,x43472)),f318(f243(x43471,x43472),x43473)),x43474)),f53(x43471,x43472,x43475,x43474)),f53(x43471,x43472,f318(f318(f142(x43471),x43473),x43475),x43474))
% 202.84/202.77 [4349]E(f318(f318(f145(x43491,x43492),x43493),f168(x43491,f318(f66(x43492,a918,x43491,x43494),x43493),x43495)),f168(x43492,x43494,f318(f318(f145(x43491,x43492),x43493),x43495)))
% 202.84/202.77 [4354]E(f318(f133(x43541,x43542,f318(f9(x43542,x43541,x43541),f318(f9(x43541,x43542,x43541),x43543)),x43544),f318(f159(x43542),f318(f159(x43542),x43545))),f318(f133(x43541,x43542,x43543,x43544),x43545))
% 202.84/202.77 [4457]P1(f318(f318(f225(f927(x44571,a918)),f318(f301(x44572,x44571,x44573),f318(f318(f92(f927(x44572,a918)),x44574),x44575))),f318(f318(f92(f927(x44571,a918)),f318(f301(x44572,x44571,x44573),x44574)),f318(f301(x44572,x44571,x44573),x44575))))
% 202.84/202.77 [4458]P1(f318(f318(f225(f927(x44581,a918)),f318(f276(x44582,x44581,x44583),f318(f318(f92(f927(x44582,a918)),x44584),x44585))),f318(f318(f92(f927(x44581,a918)),f318(f276(x44582,x44581,x44583),x44584)),f318(f276(x44582,x44581,x44583),x44585))))
% 202.84/202.77 [4557]E(f318(f247(x45571,x45572),f318(f249(x45573,x45571,x45572,x45572,x45574,f25(x45572)),x45575)),f318(f247(x45573,x45572),x45575))
% 202.84/202.77 [4558]E(f318(f242(x45581,x45582),f318(f249(x45581,x45581,x45583,x45582,f25(x45581),x45584),x45585)),f318(f242(x45581,x45583),x45585))
% 202.84/202.77 [3759]E(f318(f318(f318(f318(f195(x37591),x37592),x37593),x37594),x37595),f183(x37591,x37592))
% 202.84/202.77 [3760]E(f318(f318(f318(f318(f199(x37601),x37602),x37603),x37604),x37605),f190(x37601,x37602))
% 202.84/202.77 [4123]E(f318(f318(f33(x41231,f927(x41232,a918)),f318(f318(f300(x41231),x41233),x41234)),x41235),f318(f318(f101(f927(x41232,a918)),f318(x41235,x41233)),f318(f318(f33(x41231,f927(x41232,a918)),x41234),x41235)))
% 202.84/202.77 [4124]E(f318(f318(f34(x41241,f927(x41242,a918)),f318(f318(f300(x41241),x41243),x41244)),x41245),f318(f318(f92(f927(x41242,a918)),f318(x41245,x41243)),f318(f318(f34(x41241,f927(x41242,a918)),x41244),x41245)))
% 202.84/202.77 [4174]E(f318(f109(x41741,x41742,f318(x41743,x41744)),f318(f318(f9(x41741,a90,f922(x41742)),x41745),x41744)),f318(f188(x41741,x41742,x41743,x41745),x41744))
% 202.84/202.77 [4184]E(f318(f318(f101(f927(x41841,a918)),f318(f301(x41842,x41841,x41843),x41844)),f318(f301(x41842,x41841,x41843),x41845)),f318(f301(x41842,x41841,x41843),f318(f318(f101(f927(x41842,a918)),x41844),x41845)))
% 202.84/202.77 [4185]E(f318(f318(f101(f927(x41851,a918)),f318(f276(x41852,x41851,x41853),x41854)),f318(f276(x41852,x41851,x41853),x41855)),f318(f276(x41852,x41851,x41853),f318(f318(f101(f927(x41852,a918)),x41854),x41855)))
% 202.84/202.77 [4186]E(f318(f318(f92(f927(x41861,a918)),f318(f302(x41861,x41862,x41863),x41864)),f318(f302(x41861,x41862,x41863),x41865)),f318(f302(x41861,x41862,x41863),f318(f318(f92(f927(x41862,a918)),x41864),x41865)))
% 202.84/202.77 [4187]E(f318(f318(f101(f927(x41871,a918)),f318(f302(x41871,x41872,x41873),x41874)),f318(f302(x41871,x41872,x41873),x41875)),f318(f302(x41871,x41872,x41873),f318(f318(f101(f927(x41872,a918)),x41874),x41875)))
% 202.84/202.77 [4188]E(f318(f318(f3(f927(x41881,a918)),f318(f302(x41881,x41882,x41883),x41884)),f318(f302(x41881,x41882,x41883),x41885)),f318(f302(x41881,x41882,x41883),f318(f318(f3(f927(x41882,a918)),x41884),x41885)))
% 202.84/202.77 [4249]E(f318(f318(f150(x42491,f318(f318(f125(x42491),x42492),f318(f318(f142(x42491),x42493),x42494))),f318(f180(f921(x42491)),x42492)),x42495),f318(f318(f125(x42491),x42492),f318(f318(f142(x42491),x42495),x42494)))
% 202.84/202.77 [4256]E(f318(f318(f34(x42561,f927(x42562,a918)),x42563),f318(f318(f10(f927(x42562,a918),f927(x42562,a918),x42561),f318(f300(x42562),x42564)),x42565)),f318(f318(f300(x42562),x42564),f318(f318(f34(x42561,f927(x42562,a918)),x42563),x42565)))
% 202.84/202.77 [4409]E(f318(f318(f145(x44091,x44092),x44093),f318(f127(x44091,f318(f66(x44092,a918,x44091,x44094),x44093)),x44095)),f318(f127(x44092,x44094),f318(f318(f145(x44091,x44092),x44093),x44095)))
% 202.84/202.77 [4415]E(f318(f180(f921(x44151)),f318(f127(x44151,x44152),f318(f318(f145(x44153,x44151),x44154),x44155))),f318(f180(f921(x44153)),f318(f127(x44153,f318(f66(x44151,a918,x44153,x44152),x44154)),x44155)))
% 202.84/202.77 [4622]E(f318(f147(f921(f926(x46221,x46222)),x46222,f104(f926(x46221,x46222)),f318(f318(f9(x46222,f927(f921(x46222),f921(f926(x46221,x46222))),f927(f921(x46222),f921(f926(x46221,x46222)))),f318(f318(f10(f927(f921(f926(x46221,x46222)),f921(f926(x46221,x46222))),f927(f927(f921(x46222),f921(f926(x46221,x46222))),f927(f921(x46222),f921(f926(x46221,x46222)))),x46222),f10(f921(f926(x46221,x46222)),f921(f926(x46221,x46222)),f921(x46222))),f318(f318(f10(f926(x46221,x46222),f927(f921(f926(x46221,x46222)),f921(f926(x46221,x46222))),x46222),f142(f926(x46221,x46222))),f318(f243(x46221,x46222),x46223)))),f318(f172(x46221,x46222),x46224))),x46225),f318(f318(f172(x46221,x46222),f318(f318(f142(x46221),x46223),x46224)),x46225))
% 202.84/202.77 [4115]E(f318(f318(f150(x41151,f318(f318(f150(x41151,x41152),x41153),x41154)),x41153),x41155),f318(f318(f150(x41151,x41152),x41153),x41155))
% 202.84/202.77 [4168]E(f318(f275(x41681,x41682),f318(f318(f300(f926(x41681,x41682)),f318(f318(f243(x41681,x41682),x41683),x41684)),x41685)),f318(f318(f300(x41682),x41684),f318(f275(x41681,x41682),x41685)))
% 202.84/202.77 [4169]E(f318(f255(x41691,x41692),f318(f318(f300(f926(x41691,x41692)),f318(f318(f243(x41691,x41692),x41693),x41694)),x41695)),f318(f318(f300(x41691),x41693),f318(f255(x41691,x41692),x41695)))
% 202.84/202.77 [4214]E(f113(x42141,x42142,f318(x42143,x42144),f318(f318(f9(x42141,a90,f922(f924(x42142))),x42145),x42144)),f318(f186(x42141,x42142,x42143,x42145),x42144))
% 202.84/202.77 [4242]E(f318(f318(f92(f927(f926(x42421,x42422),a918)),f318(f318(f245(x42421,x42422),x42423),x42424)),f318(f318(f245(x42421,x42422),x42425),x42424)),f318(f318(f245(x42421,x42422),f318(f318(f92(f927(x42421,a918)),x42423),x42425)),x42424))
% 202.84/202.77 [4243]E(f318(f318(f101(f927(f926(x42431,x42432),a918)),f318(f318(f245(x42431,x42432),x42433),x42434)),f318(f318(f245(x42431,x42432),x42435),x42434)),f318(f318(f245(x42431,x42432),f318(f318(f101(f927(x42431,a918)),x42433),x42435)),x42434))
% 202.84/202.77 [4244]E(f318(f318(f3(f927(f926(x42441,x42442),a918)),f318(f318(f245(x42441,x42442),x42443),x42444)),f318(f318(f245(x42441,x42442),x42445),x42444)),f318(f318(f245(x42441,x42442),f318(f318(f3(f927(x42441,a918)),x42443),x42445)),x42444))
% 202.84/202.77 [4303]E(f318(f318(f101(f927(x43031,a918)),f318(f318(f33(x43032,f927(x43031,a918)),x43033),x43034)),f318(f318(f33(x43032,f927(x43031,a918)),x43035),x43034)),f318(f318(f33(x43032,f927(x43031,a918)),f318(f318(f101(f927(x43032,a918)),x43033),x43035)),x43034))
% 202.84/202.77 [4304]E(f318(f318(f92(f927(x43041,a918)),f318(f318(f34(x43042,f927(x43041,a918)),x43043),x43044)),f318(f318(f34(x43042,f927(x43041,a918)),x43045),x43044)),f318(f318(f34(x43042,f927(x43041,a918)),f318(f318(f101(f927(x43042,a918)),x43043),x43045)),x43044))
% 202.84/202.77 [4318]E(f318(f318(f33(x43181,f927(x43182,a918)),x43183),f318(f318(f10(f927(x43182,a918),f927(x43182,a918),x43181),f318(f92(f927(x43182,a918)),x43184)),x43185)),f318(f318(f92(f927(x43182,a918)),x43184),f318(f318(f33(x43181,f927(x43182,a918)),x43183),x43185)))
% 202.84/202.77 [4319]E(f318(f318(f33(x43191,f927(x43192,a918)),x43193),f318(f318(f10(f927(x43192,a918),f927(x43192,a918),x43191),f318(f3(f927(x43192,a918)),x43194)),x43195)),f318(f318(f3(f927(x43192,a918)),x43194),f318(f318(f34(x43191,f927(x43192,a918)),x43193),x43195)))
% 202.84/202.77 [4320]E(f318(f318(f34(x43201,f927(x43202,a918)),x43203),f318(f318(f10(f927(x43202,a918),f927(x43202,a918),x43201),f318(f101(f927(x43202,a918)),x43204)),x43205)),f318(f318(f101(f927(x43202,a918)),x43204),f318(f318(f34(x43201,f927(x43202,a918)),x43203),x43205)))
% 202.84/202.77 [4374]E(f176(f921(x43741),f318(f318(f142(x43741),x43742),x43743),f318(f318(f10(f921(x43741),f921(x43741),a920),f318(f142(x43741),x43744)),f318(f318(f9(a920,x43741,f921(x43741)),f150(x43741,x43743)),x43742)),x43745),f318(f318(f150(x43741,f318(f318(f142(x43741),x43744),x43743)),x43745),x43742))
% 202.84/202.77 [4378]E(f318(f318(f33(x43781,f927(f926(x43782,x43783),a918)),x43784),f318(f318(f10(f927(f926(x43783,x43782),a918),f927(f926(x43782,x43783),a918),x43781),f277(x43783,x43782)),x43785)),f318(f277(x43783,x43782),f318(f318(f33(x43781,f927(f926(x43783,x43782),a918)),x43784),x43785)))
% 202.84/202.77 [4379]E(f318(f318(f34(x43791,f927(f926(x43792,x43793),a918)),x43794),f318(f318(f10(f927(f926(x43793,x43792),a918),f927(f926(x43792,x43793),a918),x43791),f277(x43793,x43792)),x43795)),f318(f277(x43793,x43792),f318(f318(f34(x43791,f927(f926(x43793,x43792),a918)),x43794),x43795)))
% 202.84/202.77 [4480]P1(f318(f318(f225(f927(x44801,a918)),f318(f318(f3(f927(x44801,a918)),f318(f301(x44802,x44801,x44803),x44804)),f318(f301(x44802,x44801,x44803),x44805))),f318(f301(x44802,x44801,x44803),f318(f318(f3(f927(x44802,a918)),x44804),x44805))))
% 202.84/202.77 [4625]E(f318(f147(f921(f926(x46251,x46252)),x46251,f104(f926(x46251,x46252)),f318(f318(f9(x46251,f927(f921(x46251),f921(f926(x46251,x46252))),f927(f921(x46251),f921(f926(x46251,x46252)))),f318(f318(f10(f927(f921(f926(x46251,x46252)),f921(f926(x46251,x46252))),f927(f927(f921(x46251),f921(f926(x46251,x46252))),f927(f921(x46251),f921(f926(x46251,x46252)))),x46251),f10(f921(f926(x46251,x46252)),f921(f926(x46251,x46252)),f921(x46251))),f318(f318(f10(f926(x46251,x46252),f927(f921(f926(x46251,x46252)),f921(f926(x46251,x46252))),x46251),f142(f926(x46251,x46252))),f318(f318(f9(x46251,x46252,f926(x46251,x46252)),f243(x46251,x46252)),x46253)))),f318(f318(f9(f921(x46251),f921(x46252),f921(f926(x46251,x46252))),f172(x46251,x46252)),x46254))),x46255),f318(f318(f172(x46251,x46252),x46255),f318(f318(f142(x46252),x46253),x46254)))
% 202.84/202.77 [4343]E(f318(f318(f101(f927(x43431,a918)),f318(f276(x43432,x43431,x43433),x43434)),f318(f276(x43432,x43431,x43435),x43434)),f318(f276(x43432,x43431,f318(f318(f101(f927(f926(x43432,x43431),a918)),x43433),x43435)),x43434))
% 202.84/202.77 [4380]E(f318(f318(f125(f926(x43801,x43802)),f318(f318(f172(x43801,x43802),x43803),f318(f318(f166(x43802),f318(f180(f921(x43801)),x43803)),x43804))),f318(f318(f172(x43801,x43802),x43805),f318(f318(f129(x43802),f318(f180(f921(x43801)),x43803)),x43804))),f318(f318(f172(x43801,x43802),f318(f318(f125(x43801),x43803),x43805)),x43804))
% 202.84/202.77 [4483]E(f318(f318(f245(x44831,x44832),x44833),f318(f318(f20(x44831,f927(x44832,a918),f927(x44832,a918)),f318(f318(f10(f927(x44832,a918),f927(f927(x44832,a918),f927(x44832,a918)),x44831),f92(f927(x44832,a918))),x44834)),x44835)),f318(f318(f92(f927(f926(x44831,x44832),a918)),f318(f318(f245(x44831,x44832),x44833),x44834)),f318(f318(f245(x44831,x44832),x44833),x44835)))
% 202.84/202.77 [4484]E(f318(f318(f245(x44841,x44842),x44843),f318(f318(f20(x44841,f927(x44842,a918),f927(x44842,a918)),f318(f318(f10(f927(x44842,a918),f927(f927(x44842,a918),f927(x44842,a918)),x44841),f101(f927(x44842,a918))),x44844)),x44845)),f318(f318(f101(f927(f926(x44841,x44842),a918)),f318(f318(f245(x44841,x44842),x44843),x44844)),f318(f318(f245(x44841,x44842),x44843),x44845)))
% 202.84/202.77 [4485]E(f318(f318(f245(x44851,x44852),x44853),f318(f318(f20(x44851,f927(x44852,a918),f927(x44852,a918)),f318(f318(f10(f927(x44852,a918),f927(f927(x44852,a918),f927(x44852,a918)),x44851),f3(f927(x44852,a918))),x44854)),x44855)),f318(f318(f3(f927(f926(x44851,x44852),a918)),f318(f318(f245(x44851,x44852),x44853),x44854)),f318(f318(f245(x44851,x44852),x44853),x44855)))
% 202.84/202.77 [4489]E(f318(f318(f33(x44891,f927(x44892,a918)),x44893),f318(f318(f9(x44891,f927(x44892,a918),f927(x44892,a918)),f318(f318(f10(f927(x44892,a918),f927(f927(x44892,a918),f927(x44892,a918)),x44891),f92(f927(x44892,a918))),x44894)),x44895)),f318(f318(f92(f927(x44892,a918)),f318(f318(f33(x44891,f927(x44892,a918)),x44893),x44894)),x44895))
% 202.84/202.77 [4490]E(f318(f318(f33(x44901,f927(x44902,a918)),x44903),f318(f318(f9(x44901,f927(x44902,a918),f927(x44902,a918)),f318(f318(f10(f927(x44902,a918),f927(f927(x44902,a918),f927(x44902,a918)),x44901),f3(f927(x44902,a918))),x44904)),x44905)),f318(f318(f3(f927(x44902,a918)),f318(f318(f33(x44901,f927(x44902,a918)),x44903),x44904)),x44905))
% 202.84/202.77 [4491]E(f318(f318(f34(x44911,f927(x44912,a918)),x44913),f318(f318(f9(x44911,f927(x44912,a918),f927(x44912,a918)),f318(f318(f10(f927(x44912,a918),f927(f927(x44912,a918),f927(x44912,a918)),x44911),f101(f927(x44912,a918))),x44914)),x44915)),f318(f318(f101(f927(x44912,a918)),f318(f318(f34(x44911,f927(x44912,a918)),x44913),x44914)),x44915))
% 202.84/202.77 [4495]E(f318(f318(f33(x44951,f927(x44952,a918)),x44953),f318(f318(f20(x44951,f927(x44952,a918),f927(x44952,a918)),f318(f318(f10(f927(x44952,a918),f927(f927(x44952,a918),f927(x44952,a918)),x44951),f101(f927(x44952,a918))),x44954)),x44955)),f318(f318(f101(f927(x44952,a918)),f318(f318(f33(x44951,f927(x44952,a918)),x44953),x44954)),f318(f318(f33(x44951,f927(x44952,a918)),x44953),x44955)))
% 202.84/202.77 [4496]E(f318(f318(f34(x44961,f927(x44962,a918)),x44963),f318(f318(f20(x44961,f927(x44962,a918),f927(x44962,a918)),f318(f318(f10(f927(x44962,a918),f927(f927(x44962,a918),f927(x44962,a918)),x44961),f92(f927(x44962,a918))),x44964)),x44965)),f318(f318(f92(f927(x44962,a918)),f318(f318(f34(x44961,f927(x44962,a918)),x44963),x44964)),f318(f318(f34(x44961,f927(x44962,a918)),x44963),x44965)))
% 202.84/202.77 [4509]E(f318(f318(f33(x45091,f927(x45092,a918)),x45093),f318(f318(f20(x45091,f927(x45092,a918),f927(x45092,a918)),f318(f318(f10(f927(x45092,a918),f927(f927(x45092,a918),f927(x45092,a918)),x45091),f101(f927(x45092,a918))),x45094)),x45095)),f318(f318(f101(f927(x45092,a918)),f31(f927(x45092,a918),f318(f301(x45091,f927(x45092,a918),x45094),x45093))),f31(f927(x45092,a918),f318(f301(x45091,f927(x45092,a918),x45095),x45093))))
% 202.84/202.77 [4510]E(f318(f318(f34(x45101,f927(x45102,a918)),x45103),f318(f318(f20(x45101,f927(x45102,a918),f927(x45102,a918)),f318(f318(f10(f927(x45102,a918),f927(f927(x45102,a918),f927(x45102,a918)),x45101),f92(f927(x45102,a918))),x45104)),x45105)),f318(f318(f92(f927(x45102,a918)),f32(f927(x45102,a918),f318(f301(x45101,f927(x45102,a918),x45104),x45103))),f32(f927(x45102,a918),f318(f301(x45101,f927(x45102,a918),x45105),x45103))))
% 202.84/202.77 [4546]E(f318(f318(f129(x45461),f318(f180(f921(x45461)),f168(x45461,x45462,f318(f318(f145(x45463,x45461),x45464),x45465)))),f318(f318(f145(x45463,x45461),x45464),x45465)),f318(f318(f145(x45463,x45461),x45464),f318(f318(f129(x45463),f318(f180(f921(x45463)),f168(x45463,f318(f66(x45461,a918,x45463,x45462),x45464),x45465))),x45465)))
% 202.84/202.77 [4422]E(f318(f318(f125(f926(x44221,x44222)),f318(f318(f172(x44221,x44222),f318(f318(f166(x44221),f318(f180(f921(x44222)),x44223)),x44224)),x44223)),f318(f318(f172(x44221,x44222),f318(f318(f129(x44221),f318(f180(f921(x44222)),x44223)),x44224)),x44225)),f318(f318(f172(x44221,x44222),x44224),f318(f318(f125(x44222),x44223),x44225)))
% 202.84/202.77 [4537]E(f78(x45371,f318(f318(f20(x45371,a918,a918),f318(f318(f10(a918,f927(a918,a918),x45371),a316),f318(f318(f9(x45371,f927(x45371,a918),a918),f320(x45371)),x45372))),f318(f318(f9(x45371,x45373,a918),f318(f318(f10(x45373,f927(x45373,a918),x45371),a315),x45374)),x45375))),f318(f70(x45371,x45373,x45372,x45374),x45375))
% 202.84/202.77 [4538]E(f83(x45381,f318(f318(f20(x45381,a918,a918),f318(f318(f10(a918,f927(a918,a918),x45381),a316),f318(f318(f9(x45381,f927(x45381,a918),a918),f320(x45381)),x45382))),f318(f318(f9(x45381,x45383,a918),f318(f318(f10(x45383,f927(x45383,a918),x45381),a315),x45384)),x45385))),f318(f84(x45381,x45383,x45382,x45384),x45385))
% 202.84/202.77 [4586]E(f318(f318(f79(a1,x45861),f318(f94(a1),f318(f318(f73(a1),x45862),a88))),f318(f318(f20(a1,x45861,x45861),f318(f318(f9(a1,x45861,f927(x45861,x45861)),f318(f318(f10(a918,f927(x45861,f927(x45861,x45861)),a1),f85(x45861)),a184)),f176(x45861,x45863,x45864,x45865))),f318(f318(f10(a920,x45861,a1),x45864),f318(f318(f9(a1,a920,a920),f318(f318(f10(a920,f927(a920,a920),a1),f73(a920)),a95)),x45865)))),f176(x45861,x45863,x45864,f318(f318(f73(a920),f318(f94(a920),x45862)),x45865)))
% 202.84/202.77 [4621]E(f318(f318(f79(a1,x46211),f318(f94(a1),f318(f318(f73(a1),x46212),a88))),f318(f318(f20(a1,x46211,x46211),f318(f318(f9(a1,x46211,f927(x46211,x46211)),f318(f318(f10(a918,f927(x46211,f927(x46211,x46211)),a1),f85(x46211)),a184)),f318(f175(x46211,x46213,x46214),x46215))),f318(f318(f20(a1,x46211,x46211),f318(f318(f10(a920,f927(x46211,x46211),a1),x46214),f318(f318(f9(a1,a920,a920),f318(f318(f10(a920,f927(a920,a920),a1),f73(a920)),a95)),x46215))),f318(f318(f10(a920,x46211,a1),f175(x46211,x46213,x46214)),f318(f318(f9(a1,a920,a920),f318(f318(f10(a920,f927(a920,a920),a1),f73(a920)),a95)),x46215))))),f318(f175(x46211,x46213,x46214),f318(f318(f73(a920),f318(f94(a920),x46212)),x46215)))
% 202.84/202.77 [4654]E(f318(f253(f926(x46541,x46542)),f318(f248(x46541,x46542,a918),f318(f318(f10(f927(x46542,f927(x46543,a918)),f927(x46542,a918),x46541),f318(f10(f927(x46543,a918),a918,x46542),f80(x46543))),f318(f318(f9(x46541,f927(x46542,f927(x46543,a918)),f927(x46542,f927(x46543,a918))),f318(f318(f10(f927(f927(x46543,a918),f927(x46543,a918)),f927(f927(x46542,f927(x46543,a918)),f927(x46542,f927(x46543,a918))),x46541),f10(f927(x46543,a918),f927(x46543,a918),x46542)),f318(f318(f10(f927(x46543,f927(a918,a918)),f927(f927(x46543,a918),f927(x46543,a918)),x46541),f20(x46543,a918,a918)),f318(f318(f10(f927(x46543,a918),f927(x46543,f927(a918,a918)),x46541),f318(f10(a918,f927(a918,a918),x46543),a316)),f318(f318(f9(x46541,f927(f926(x46541,x46543),a918),f927(x46543,a918)),f318(f318(f10(f927(x46543,f927(f927(f926(x46541,x46543),a918),a918)),f927(f927(f926(x46541,x46543),a918),f927(x46543,a918)),x46541),f9(x46543,f927(f926(x46541,x46543),a918),a918)),f318(f318(f10(f927(x46543,f926(x46541,x46543)),f927(x46543,f927(f927(f926(x46541,x46543),a918),a918)),x46541),f318(f10(f926(x46541,x46543),f927(f927(f926(x46541,x46543),a918),a918),x46543),f320(f926(x46541,x46543)))),f243(x46541,x46543)))),x46544))))),f318(f318(f9(x46542,f927(f926(x46543,x46542),a918),f927(x46543,a918)),f318(f318(f10(f927(x46543,f927(f927(f926(x46543,x46542),a918),a918)),f927(f927(f926(x46543,x46542),a918),f927(x46543,a918)),x46542),f9(x46543,f927(f926(x46543,x46542),a918),a918)),f318(f318(f10(f927(x46543,f926(x46543,x46542)),f927(x46543,f927(f927(f926(x46543,x46542),a918),a918)),x46542),f318(f10(f926(x46543,x46542),f927(f927(f926(x46543,x46542),a918),a918),x46543),f320(f926(x46543,x46542)))),f318(f9(x46543,x46542,f926(x46543,x46542)),f243(x46543,x46542))))),x46545))))),f318(f318(f280(x46541,x46543,x46542),x46544),x46545))
% 202.84/202.77 [4272]E(f215(x42721,x42722,x42723,x42724,f211(x42721,x42722,x42725,x42726)),f318(f318(x42724,x42725),x42726))
% 202.84/202.77 [4273]E(f216(x42731,x42732,x42733,x42734,f211(x42731,x42732,x42735,x42736)),f318(f318(x42734,x42735),x42736))
% 202.84/202.77 [4398]E(f118(x43981,x43982,x43983,x43984,f117(x43982,x43985,x43986)),f318(f318(f318(x43984,x43985),x43986),f118(x43981,x43982,x43983,x43984,x43986)))
% 202.84/202.77 [4417]E(f68(x44171,x44172,f68(x44171,x44172,x44173,x44174,x44175),x44174,x44176),f68(x44171,x44172,x44173,x44174,x44176))
% 202.84/202.77 [4525]E(f318(f66(f926(x45251,x45252),x45252,f926(x45253,x45254),f247(x45251,x45252)),f249(x45253,x45251,x45254,x45252,x45255,x45256)),f318(f66(x45254,x45252,f926(x45253,x45254),x45256),f247(x45253,x45254)))
% 202.84/202.77 [4526]E(f318(f66(f926(x45261,x45262),x45261,f926(x45263,x45264),f242(x45261,x45262)),f249(x45263,x45261,x45264,x45262,x45265,x45266)),f318(f66(x45263,x45261,f926(x45263,x45264),x45265),f242(x45263,x45264)))
% 202.84/202.77 [4144]E(f318(f318(f66(x41441,x41442,x41443,x41444),x41445),x41446),f318(x41444,f318(x41445,x41446)))
% 202.84/202.77 [4282]E(f214(x42821,f926(x42822,f922(x42822)),x42823,f318(f248(x42822,f922(x42822),x42821),x42824),f318(f126(x42822),f117(x42822,x42825,x42826))),f318(f318(x42824,x42825),x42826))
% 202.84/202.77 [4332]E(f217(x43321,x43322,x43323,x43324,f211(x43321,x43322,x43325,x43326)),f318(f318(f73(a920),f318(f318(f73(a920),f318(x43323,x43325)),f318(x43324,x43326))),f318(a103,f2(a920))))
% 202.84/202.77 [3946]E(f318(f318(f248(x39461,x39462,x39463),x39464),f318(f318(f243(x39461,x39462),x39465),x39466)),f318(f318(x39464,x39465),x39466))
% 202.84/202.77 [4006]E(f318(f318(f318(f10(x40061,x40062,x40063),x40064),x40065),x40066),f318(x40064,f318(x40065,x40066)))
% 202.84/202.77 [4007]E(f318(f318(f318(f9(x40071,x40072,x40073),x40074),x40075),x40076),f318(f318(x40074,x40076),x40075))
% 202.84/202.77 [4023]E(f318(f318(f318(f20(x40231,x40232,x40233),x40234),x40235),x40236),f318(f318(x40234,x40236),f318(x40235,x40236)))
% 202.84/202.77 [4046]E(f318(f147(x40461,x40462,x40463,x40464),f318(f318(f142(x40462),x40465),x40466)),f318(f318(x40464,x40465),x40466))
% 202.84/202.77 [4082]E(f160(f926(x40821,x40822),f318(f318(f223(a920),x40823),x40824),f318(f318(f243(x40821,x40822),x40825),x40826)),f318(f318(f172(x40821,x40822),f160(x40821,x40823,x40825)),f160(x40822,x40824,x40826)))
% 202.84/202.77 [4148]E(f318(f318(f142(f926(x41481,x41482)),f318(f318(f243(x41481,x41482),x41483),x41484)),f318(f318(f172(x41481,x41482),x41485),x41486)),f318(f318(f172(x41481,x41482),f318(f318(f142(x41481),x41483),x41485)),f318(f318(f142(x41482),x41484),x41486)))
% 202.84/202.77 [4149]E(f318(f318(f145(x41491,x41492),x41493),f318(f318(f150(x41491,x41494),x41495),x41496)),f318(f318(f150(x41492,f318(f318(f145(x41491,x41492),x41493),x41494)),x41495),f318(x41493,x41496)))
% 202.84/202.77 [4173]E(f318(f318(f246(x41731,x41732,x41733,x41734),x41735),x41736),f318(x41734,f318(f318(f243(x41731,x41732),x41735),x41736)))
% 202.84/202.77 [4189]E(f318(f133(x41891,x41892,x41893,x41894),f318(f318(f142(x41892),x41895),x41896)),f318(f133(x41891,x41892,x41893,f318(f318(x41893,x41894),x41895)),x41896))
% 202.84/202.77 [4215]E(f251(x42151,x42152,x42153,x42154,f318(f318(f243(x42151,x42152),x42155),x42156)),f318(f318(x42154,x42155),x42156))
% 202.84/202.77 [4296]E(f318(f318(f33(x42961,f927(x42962,a918)),x42963),f318(f66(x42964,f927(x42962,a918),x42961,x42965),x42966)),f318(f318(f33(x42964,f927(x42962,a918)),f318(f301(x42961,x42964,x42966),x42963)),x42965))
% 202.84/202.77 [4346]E(f318(f318(f145(x43461,x43462),x43463),f318(f318(f145(x43464,x43461),x43465),x43466)),f318(f318(f145(x43464,x43462),f318(f66(x43461,x43462,x43464,x43463),x43465)),x43466))
% 202.84/202.77 [4352]E(f318(f301(x43521,x43522,f318(f66(x43523,x43522,x43521,x43524),x43525)),x43526),f318(f301(x43523,x43522,x43524),f318(f301(x43521,x43523,x43525),x43526)))
% 202.84/202.77 [4353]E(f318(f302(x43531,x43532,f318(f66(x43533,x43532,x43531,x43534),x43535)),x43536),f318(f302(x43531,x43533,x43535),f318(f302(x43533,x43532,x43534),x43536)))
% 202.84/202.77 [4381]E(f318(f133(x43811,x43812,x43813,f318(f133(x43811,x43812,x43813,x43814),x43815)),x43816),f318(f133(x43811,x43812,x43813,x43814),f318(f318(f125(x43812),x43815),x43816)))
% 202.84/202.77 [4515]E(f318(f249(x45151,x45151,x45152,x45153,f25(x45151),x45154),f318(f318(f243(x45151,x45152),x45155),x45156)),f318(f318(f243(x45151,x45153),x45155),f318(x45154,x45156)))
% 202.84/202.77 [4516]E(f318(f249(x45161,x45162,x45163,x45163,x45164,f25(x45163)),f318(f318(f243(x45161,x45163),x45165),x45166)),f318(f318(f243(x45162,x45163),f318(x45164,x45165)),x45166))
% 202.84/202.77 [4604]E(f318(f318(f145(f926(x46041,x46042),f926(x46041,x46043)),f318(f248(x46041,x46042,f926(x46041,x46043)),f318(f318(f9(x46041,f927(x46042,x46043),f927(x46042,f926(x46041,x46043))),f318(f318(f10(f927(x46043,f926(x46041,x46043)),f927(f927(x46042,x46043),f927(x46042,f926(x46041,x46043))),x46041),f10(x46043,f926(x46041,x46043),x46042)),f243(x46041,x46043))),x46044))),f318(f318(f172(x46041,x46042),x46045),x46046)),f318(f318(f172(x46041,x46043),x46045),f318(f318(f145(x46042,x46043),x46044),x46046)))
% 202.84/202.77 [4199]E(f318(f318(f66(x41991,x41992,x41993,f318(f18(x41992,x41991),x41994)),x41995),x41996),x41994)
% 202.84/202.77 [4231]E(f318(f301(x42311,x42312,x42313),f318(f301(x42314,x42311,x42315),x42316)),f318(f301(x42314,x42312,f318(f318(f10(x42311,x42312,x42314),x42313),x42315)),x42316))
% 202.84/202.77 [4237]E(f318(f318(f33(x42371,f927(x42372,a918)),f318(f301(x42373,x42371,x42374),x42375)),x42376),f318(f318(f33(x42373,f927(x42372,a918)),x42375),f318(f318(f10(x42371,f927(x42372,a918),x42373),x42376),x42374)))
% 202.84/202.77 [4238]E(f318(f318(f34(x42381,f927(x42382,a918)),f318(f301(x42383,x42381,x42384),x42385)),x42386),f318(f318(f34(x42383,f927(x42382,a918)),x42385),f318(f318(f10(x42381,f927(x42382,a918),x42383),x42386),x42384)))
% 202.84/202.77 [4239]E(f318(f318(f33(x42391,f927(x42392,a918)),x42393),f318(f318(f10(x42394,f927(x42392,a918),x42391),x42395),x42396)),f318(f318(f33(x42394,f927(x42392,a918)),f318(f301(x42391,x42394,x42396),x42393)),x42395))
% 202.84/202.77 [4240]E(f318(f318(f34(x42401,f927(x42402,a918)),x42403),f318(f318(f10(x42404,f927(x42402,a918),x42401),x42405),x42406)),f318(f318(f34(x42404,f927(x42402,a918)),f318(f301(x42401,x42404,x42406),x42403)),x42405))
% 202.84/202.77 [4298]E(f318(f318(f33(x42981,f927(x42982,a918)),x42983),f318(f318(f10(f927(x42984,a918),f927(x42982,a918),x42981),f301(x42984,x42982,x42985)),x42986)),f318(f301(x42984,x42982,x42985),f318(f318(f33(x42981,f927(x42984,a918)),x42983),x42986)))
% 202.84/202.77 [4299]E(f318(f318(f33(x42991,f927(x42992,a918)),x42993),f318(f318(f10(f927(x42994,a918),f927(x42992,a918),x42991),f276(x42994,x42992,x42995)),x42996)),f318(f276(x42994,x42992,x42995),f318(f318(f33(x42991,f927(x42994,a918)),x42993),x42996)))
% 202.84/202.77 [4300]E(f318(f318(f33(x43001,f927(x43002,a918)),x43003),f318(f318(f10(f927(x43004,a918),f927(x43002,a918),x43001),f302(x43002,x43004,x43005)),x43006)),f318(f302(x43002,x43004,x43005),f318(f318(f33(x43001,f927(x43004,a918)),x43003),x43006)))
% 202.84/202.77 [4301]E(f318(f318(f34(x43011,f927(x43012,a918)),x43013),f318(f318(f10(f927(x43014,a918),f927(x43012,a918),x43011),f302(x43012,x43014,x43015)),x43016)),f318(f302(x43012,x43014,x43015),f318(f318(f34(x43011,f927(x43014,a918)),x43013),x43016)))
% 202.84/202.77 [4386]E(f318(f133(x43861,x43862,f318(f9(x43862,x43861,x43861),x43863),x43864),f318(f159(x43862),f318(f318(f142(x43862),x43865),x43866))),f318(f318(x43863,x43865),f318(f133(x43861,x43862,f318(f9(x43862,x43861,x43861),x43863),x43864),f318(f159(x43862),x43866))))
% 202.84/202.77 [4444]E(f318(f318(f20(f926(x44441,x44442),x44442,x44443),f318(f318(f10(x44444,f927(x44442,x44443),f926(x44441,x44442)),x44445),f318(f318(f10(x44441,x44444,f926(x44441,x44442)),x44446),f242(x44441,x44442)))),f247(x44441,x44442)),f318(f248(x44441,x44442,x44443),f318(f318(f10(x44444,f927(x44442,x44443),x44441),x44445),x44446)))
% 202.84/202.77 [4451]E(f318(f133(x44511,x44512,f318(f9(x44512,x44511,x44511),x44513),f318(f133(x44511,x44512,f318(f9(x44512,x44511,x44511),x44513),x44514),f318(f159(x44512),x44515))),f318(f159(x44512),x44516)),f318(f133(x44511,x44512,f318(f9(x44512,x44511,x44511),x44513),x44514),f318(f159(x44512),f318(f318(f125(x44512),x44516),x44515))))
% 202.84/202.77 [4453]E(f318(f318(f145(f926(x44531,x44532),f926(x44533,x44532)),f318(f248(x44531,x44532,f926(x44533,x44532)),f318(f318(f10(x44533,f927(x44532,f926(x44533,x44532)),x44531),f243(x44533,x44532)),x44534))),f318(f318(f172(x44531,x44532),x44535),x44536)),f318(f318(f172(x44533,x44532),f318(f318(f145(x44531,x44533),x44534),x44535)),x44536))
% 202.84/202.77 [4498]P1(f318(f318(f225(f927(x44981,a918)),f318(f276(x44982,x44981,x44983),f318(f318(f34(x44984,f927(x44982,a918)),x44985),x44986))),f318(f318(f34(x44984,f927(x44981,a918)),x44985),f318(f318(f10(f927(x44982,a918),f927(x44981,a918),x44984),f276(x44982,x44981,x44983)),x44986))))
% 202.84/202.77 [4311]E(f318(f318(f172(x43111,x43112),f318(f318(f150(x43111,x43113),x43114),f318(f242(x43111,x43112),x43115))),f318(f318(f150(x43112,x43116),x43114),f318(f247(x43111,x43112),x43115))),f318(f318(f150(f926(x43111,x43112),f318(f318(f172(x43111,x43112),x43113),x43116)),x43114),x43115))
% 202.84/202.77 [4369]E(f318(f318(f101(f927(f926(x43691,x43692),a918)),f318(f318(f280(x43691,x43693,x43692),x43694),x43695)),f318(f318(f280(x43691,x43693,x43692),x43694),x43696)),f318(f318(f280(x43691,x43693,x43692),x43694),f318(f318(f101(f927(f926(x43693,x43692),a918)),x43695),x43696)))
% 202.84/202.77 [4463]E(f318(f318(f300(f926(x44631,x44632)),f318(f318(f243(x44631,x44632),x44633),x44634)),f318(f318(f101(f927(f926(x44631,x44632),a918)),f318(f318(f245(x44631,x44632),x44635),f318(f18(f927(x44632,a918),x44631),f318(f318(f300(x44632),x44634),x44636)))),f318(f318(f245(x44631,x44632),f318(f318(f300(x44631),x44633),x44635)),f318(f18(f927(x44632,a918),x44631),x44636)))),f318(f318(f245(x44631,x44632),f318(f318(f300(x44631),x44633),x44635)),f318(f18(f927(x44632,a918),x44631),f318(f318(f300(x44632),x44634),x44636))))
% 202.84/202.77 [4542]E(f318(f318(f92(f927(x45421,a918)),f318(f302(x45421,x45422,f318(f66(f926(x45422,x45423),x45422,x45421,f242(x45422,x45423)),x45424)),x45425)),f318(f302(x45421,x45423,f318(f66(f926(x45422,x45423),x45423,x45421,f247(x45422,x45423)),x45424)),x45426)),f318(f302(x45421,f926(x45422,x45423),x45424),f318(f318(f245(x45422,x45423),x45425),f318(f18(f927(x45423,a918),x45422),x45426))))
% 202.84/202.77 [4392]E(f318(f318(f101(f927(f926(x43921,x43922),a918)),f318(f318(f280(x43921,x43923,x43922),x43924),x43925)),f318(f318(f280(x43921,x43923,x43922),x43926),x43925)),f318(f318(f280(x43921,x43923,x43922),f318(f318(f101(f927(f926(x43921,x43923),a918)),x43924),x43926)),x43925))
% 202.84/202.77 [4523]E(f318(f318(f33(x45231,f927(x45232,a918)),x45233),f318(f318(f9(x45231,f927(x45234,f927(x45232,a918)),f927(x45232,a918)),f318(f318(f10(f927(x45234,a918),f927(f927(x45234,f927(x45232,a918)),f927(x45232,a918)),x45231),f33(x45234,f927(x45232,a918))),x45235)),x45236)),f318(f318(f33(x45234,f927(x45232,a918)),f318(f318(f33(x45231,f927(x45234,a918)),x45233),x45235)),x45236))
% 202.84/202.77 [4524]E(f318(f318(f34(x45241,f927(x45242,a918)),x45243),f318(f318(f9(x45241,f927(x45244,f927(x45242,a918)),f927(x45242,a918)),f318(f318(f10(f927(x45244,a918),f927(f927(x45244,f927(x45242,a918)),f927(x45242,a918)),x45241),f34(x45244,f927(x45242,a918))),x45245)),x45246)),f318(f318(f34(x45244,f927(x45242,a918)),f318(f318(f33(x45241,f927(x45244,a918)),x45243),x45245)),x45246))
% 202.84/202.77 [4576]E(f318(f248(x45761,x45762,f926(x45763,x45764)),f318(f318(f9(x45761,f927(x45762,x45764),f927(x45762,f926(x45763,x45764))),f318(f318(f10(f927(x45764,f926(x45763,x45764)),f927(f927(x45762,x45764),f927(x45762,f926(x45763,x45764))),x45761),f10(x45764,f926(x45763,x45764),x45762)),f318(f318(f10(x45763,f927(x45764,f926(x45763,x45764)),x45761),f243(x45763,x45764)),x45765))),x45766)),f249(x45761,x45763,x45762,x45764,x45765,x45766))
% 202.84/202.77 [4599]E(f318(f301(x45991,x45992,f318(f318(f20(x45991,x45992,x45992),f318(f318(f20(x45991,x45992,f927(x45992,x45992)),f318(f318(f10(a918,f927(x45992,f927(x45992,x45992)),x45991),f85(x45992)),x45993)),x45994)),x45995)),x45996),f318(f318(f101(f927(x45992,a918)),f318(f301(x45991,x45992,x45994),f318(f318(f92(f927(x45991,a918)),x45996),f318(f253(x45991),x45993)))),f318(f301(x45991,x45992,x45995),f318(f318(f92(f927(x45991,a918)),x45996),f318(f253(x45991),f318(f318(f10(a918,a918,x45991),a313),x45993))))))
% 202.84/202.77 [4611]E(f318(f301(x46111,f926(x46112,x46113),f318(f318(f20(x46111,x46113,f926(x46112,x46113)),f318(f318(f10(x46112,f927(x46113,f926(x46112,x46113)),x46111),f243(x46112,x46113)),x46114)),x46115)),x46116),f318(f318(f245(x46112,x46113),f318(f301(x46111,x46112,x46114),x46116)),f318(f318(f10(f927(x46111,a918),f927(x46113,a918),x46112),f301(x46111,x46113,x46115)),f318(f318(f9(x46112,f927(x46111,a918),f927(x46111,a918)),f318(f318(f10(f927(x46111,a918),f927(f927(x46111,a918),f927(x46111,a918)),x46112),f92(f927(x46111,a918))),f318(f318(f10(f927(x46112,a918),f927(x46111,a918),x46112),f302(x46111,x46112,x46114)),f318(f318(f9(x46112,f927(x46112,a918),f927(x46112,a918)),f300(x46112)),f179(f927(x46112,a918)))))),x46116))))
% 202.84/202.77 [4636]E(f237(x46361,x46362,x46363,x46364,x46365,x46366),f318(x46364,f318(f253(x46361),f318(f318(f10(f927(f927(x46363,x46361),a918),a918,x46361),f80(f927(x46363,x46361))),f318(f318(f10(f927(f927(x46363,x46361),a918),f927(f927(x46363,x46361),a918),x46361),f318(f20(f927(x46363,x46361),a918,a918),f318(f318(f10(a918,f927(a918,a918),f927(x46363,x46361)),a316),f318(f318(f9(f927(x46363,x46361),f927(f927(x46363,x46361),a918),a918),f320(f927(x46363,x46361))),x46365)))),f318(f318(f9(x46361,f927(f927(x46363,x46361),x46361),f927(f927(x46363,x46361),a918)),f318(f318(f10(f927(x46361,a918),f927(f927(f927(x46363,x46361),x46361),f927(f927(x46363,x46361),a918)),x46361),f10(x46361,a918,f927(x46363,x46361))),a315)),f318(f318(f9(f927(x46363,x46361),x46363,x46361),f7(f927(x46363,x46361))),x46366)))))))
% 202.84/202.77 [4425]E(f318(f66(x44251,x44252,x44253,x44254),f68(x44253,x44251,x44255,x44256,x44257)),f68(x44253,x44252,f318(f66(x44251,x44252,x44253,x44254),x44255),x44256,f318(x44254,x44257)))
% 202.84/202.77 [4559]E(f318(f247(x45591,x45592),f318(f249(x45593,x45591,x45594,x45592,x45595,x45596),x45597)),f318(x45596,f318(f247(x45593,x45594),x45597)))
% 202.84/202.77 [4560]E(f318(f242(x45601,x45602),f318(f249(x45603,x45601,x45604,x45602,x45605,x45606),x45607)),f318(x45605,f318(f242(x45603,x45604),x45607)))
% 202.84/202.77 [4274]E(f318(f318(f172(x42741,x42742),f318(f318(f150(x42741,x42743),x42744),x42745)),f318(f318(f150(x42742,x42746),x42744),x42747)),f318(f318(f150(f926(x42741,x42742),f318(f318(f172(x42741,x42742),x42743),x42746)),x42744),f318(f318(f243(x42741,x42742),x42745),x42747)))
% 202.84/202.77 [4341]E(f318(f318(f318(f250(x43411,x43412,x43413,x43414),x43415),x43416),x43417),f318(f318(f248(x43412,x43413,x43414),x43416),f318(x43415,x43417)))
% 202.84/202.77 [4351]E(f318(f318(f318(f250(x43511,x43512,x43513,x43514),x43515),x43516),x43517),f318(f318(x43516,f318(f242(x43512,x43513),f318(x43515,x43517))),f318(f247(x43512,x43513),f318(x43515,x43517))))
% 202.84/202.77 [4403]E(f318(f66(x44031,x44032,x44033,x44034),f318(f66(x44035,x44031,x44033,x44036),x44037)),f318(f66(x44035,x44032,x44033,f318(f66(x44031,x44032,x44035,x44034),x44036)),x44037))
% 202.84/202.77 [4580]E(f318(f249(x45801,x45802,x45803,x45803,x45804,f25(x45803)),f318(f249(x45801,x45801,x45805,x45803,f25(x45801),x45806),x45807)),f318(f318(f243(x45802,x45803),f318(x45804,f318(f242(x45801,x45805),x45807))),f318(x45806,f318(f247(x45801,x45805),x45807))))
% 202.84/202.77 [4581]E(f318(f249(x45811,x45811,x45812,x45813,f25(x45811),x45814),f318(f249(x45815,x45811,x45812,x45812,x45816,f25(x45812)),x45817)),f318(f318(f243(x45811,x45813),f318(x45816,f318(f242(x45815,x45812),x45817))),f318(x45814,f318(f247(x45815,x45812),x45817))))
% 202.84/202.77 [4597]E(f318(f249(x45971,x45972,x45973,x45973,x45974,f25(x45973)),f318(f249(x45975,x45971,x45973,x45973,x45976,f25(x45973)),x45977)),f318(f249(x45975,x45972,x45973,x45973,f318(f66(x45971,x45972,x45975,x45974),x45976),f25(x45973)),x45977))
% 202.84/202.77 [4598]E(f318(f249(x45981,x45981,x45982,x45983,f25(x45981),x45984),f318(f249(x45981,x45981,x45985,x45982,f25(x45981),x45986),x45987)),f318(f249(x45981,x45981,x45985,x45983,f25(x45981),f318(f66(x45982,x45983,x45985,x45984),x45986)),x45987))
% 202.84/202.77 [4608]E(f318(f249(x46081,x46082,x46083,x46083,x46084,f25(x46083)),f318(f249(x46081,x46081,x46085,x46083,f25(x46081),x46086),x46087)),f318(f249(x46082,x46082,x46085,x46083,f25(x46082),x46086),f318(f249(x46081,x46082,x46085,x46085,x46084,f25(x46085)),x46087)))
% 202.84/202.77 [4308]E(f318(f318(f280(x43081,x43082,x43083),f318(f318(f280(x43081,x43084,x43082),x43085),x43086)),x43087),f318(f318(f280(x43081,x43084,x43083),x43085),f318(f318(f280(x43084,x43082,x43083),x43086),x43087)))
% 202.84/202.77 [4375]E(f318(f318(f248(x43751,x43752,x43753),f318(f66(x43754,f927(x43752,x43753),x43751,x43755),x43756)),x43757),f318(f318(x43755,f318(x43756,f318(f242(x43751,x43752),x43757))),f318(f247(x43751,x43752),x43757)))
% 202.84/202.77 [4456]E(f318(f133(x44561,x44562,f318(f9(x44562,x44561,x44561),x44563),x44564),f318(f159(x44562),f318(f318(f145(x44565,x44562),x44566),x44567))),f318(f133(x44561,x44565,f318(f9(x44565,x44561,x44561),f318(f66(x44562,f927(x44561,x44561),x44565,x44563),x44566)),x44564),f318(f159(x44565),x44567)))
% 202.84/202.77 [4404]E(f318(f318(f33(x44041,f927(f926(x44042,x44043),a918)),x44044),f318(f318(f10(f927(f926(x44045,x44043),a918),f927(f926(x44042,x44043),a918),x44041),f318(f280(x44042,x44045,x44043),x44046)),x44047)),f318(f318(f280(x44042,x44045,x44043),x44046),f318(f318(f33(x44041,f927(f926(x44045,x44043),a918)),x44044),x44047)))
% 202.84/202.77 [4547]E(f318(f318(f33(x45471,f927(f926(x45472,x45473),a918)),x45474),f318(f318(f9(x45471,f927(f926(x45475,x45473),a918),f927(f926(x45472,x45473),a918)),f318(f318(f10(f927(f926(x45472,x45475),a918),f927(f927(f926(x45475,x45473),a918),f927(f926(x45472,x45473),a918)),x45471),f280(x45472,x45475,x45473)),x45476)),x45477)),f318(f318(f280(x45472,x45475,x45473),f318(f318(f33(x45471,f927(f926(x45472,x45475),a918)),x45474),x45476)),x45477))
% 202.84/202.77 [4548]E(f318(f133(x45481,x45482,f318(f318(f9(x45481,f927(x45482,x45483),f927(x45482,x45481)),f318(f318(f10(f927(x45483,x45481),f927(f927(x45482,x45483),f927(x45482,x45481)),x45481),f10(x45483,x45481,x45482)),x45484)),x45485),x45486),x45487),f318(f133(x45481,x45483,x45484,x45486),f318(f318(f145(x45482,x45483),x45485),x45487)))
% 202.84/202.77 [4609]E(f318(f318(f33(x46091,f927(x46092,a918)),x46093),f318(f318(f10(f927(x46094,f927(x46092,a918)),f927(x46092,a918),x46091),f318(f33(x46094,f927(x46092,a918)),x46095)),f318(f318(f9(x46091,f927(x46094,f927(x46092,a918)),f927(x46094,f927(x46092,a918))),f318(f318(f10(f927(f927(x46092,a918),f927(x46092,a918)),f927(f927(x46094,f927(x46092,a918)),f927(x46094,f927(x46092,a918))),x46091),f10(f927(x46092,a918),f927(x46092,a918),x46094)),f318(f318(f10(f927(x46092,a918),f927(f927(x46092,a918),f927(x46092,a918)),x46091),f92(f927(x46092,a918))),x46096))),x46097))),f318(f318(f92(f927(x46092,a918)),f318(f318(f33(x46091,f927(x46092,a918)),x46093),x46096)),f318(f318(f33(x46094,f927(x46092,a918)),x46095),x46097)))
% 202.84/202.77 [4610]E(f318(f318(f34(x46101,f927(x46102,a918)),x46103),f318(f318(f10(f927(x46104,f927(x46102,a918)),f927(x46102,a918),x46101),f318(f34(x46104,f927(x46102,a918)),x46105)),f318(f318(f9(x46101,f927(x46104,f927(x46102,a918)),f927(x46104,f927(x46102,a918))),f318(f318(f10(f927(f927(x46102,a918),f927(x46102,a918)),f927(f927(x46104,f927(x46102,a918)),f927(x46104,f927(x46102,a918))),x46101),f10(f927(x46102,a918),f927(x46102,a918),x46104)),f318(f318(f10(f927(x46102,a918),f927(f927(x46102,a918),f927(x46102,a918)),x46101),f101(f927(x46102,a918))),x46106))),x46107))),f318(f318(f101(f927(x46102,a918)),f318(f318(f34(x46101,f927(x46102,a918)),x46103),x46106)),f318(f318(f34(x46104,f927(x46102,a918)),x46105),x46107)))
% 202.84/202.77 [4602]E(f188(x46021,x46022,f318(f318(f318(x46023,x46024),x46025),x46026),f318(f318(f9(x46021,f926(a90,a90),f927(a90,f922(x46022))),f318(f318(f9(x46021,a90,f927(f926(a90,a90),f927(a90,f922(x46022)))),f318(f318(f9(x46021,a90,f927(a90,f927(f926(a90,a90),f927(a90,f922(x46022))))),x46027),x46024)),x46025)),x46026)),f318(f318(f318(f200(x46021,x46022,x46023,x46027),x46024),x46025),x46026))
% 202.84/202.77 [4616]E(f189(x46161,x46162,f318(f318(f318(x46163,x46164),x46165),x46166),f318(f318(f9(x46161,f926(a90,a90),f927(a90,f922(x46162))),f318(f318(f9(x46161,a90,f927(f926(a90,a90),f927(a90,f922(x46162)))),f318(f318(f9(x46161,a90,f927(a90,f927(f926(a90,a90),f927(a90,f922(x46162))))),x46167),x46164)),x46165)),x46166)),f202(x46161,x46162,x46163,x46167,x46164,x46165,x46166))
% 202.84/202.77 [4607]E(f186(x46071,x46072,f318(f318(f318(x46073,x46074),x46075),x46076),f318(f318(f9(x46071,f926(a90,a90),f927(a90,f922(f924(x46072)))),f318(f318(f9(x46071,a90,f927(f926(a90,a90),f927(a90,f922(f924(x46072))))),f318(f318(f9(x46071,a90,f927(a90,f927(f926(a90,a90),f927(a90,f922(f924(x46072)))))),x46077),x46074)),x46075)),x46076)),f318(f318(f318(f196(x46071,x46072,x46073,x46077),x46074),x46075),x46076))
% 202.84/202.77 [4618]E(f187(x46181,x46182,f318(f318(f318(x46183,x46184),x46185),x46186),f318(f318(f9(x46181,f926(a90,a90),f927(a90,f922(f924(x46182)))),f318(f318(f9(x46181,a90,f927(f926(a90,a90),f927(a90,f922(f924(x46182))))),f318(f318(f9(x46181,a90,f927(a90,f927(f926(a90,a90),f927(a90,f922(f924(x46182)))))),x46187),x46184)),x46185)),x46186)),f198(x46181,x46182,x46183,x46187,x46184,x46185,x46186))
% 202.84/202.77 [4517]E(f318(f249(x45171,x45172,x45173,x45174,x45175,x45176),f318(f318(f243(x45171,x45173),x45177),x45178)),f318(f318(f243(x45172,x45174),f318(x45175,x45177)),f318(x45176,x45178)))
% 202.84/202.77 [4620]E(f318(f318(f145(f926(x46201,x46202),f926(x46203,x46204)),f318(f248(x46201,x46202,f926(x46203,x46204)),f318(f318(f9(x46201,f927(x46202,x46204),f927(x46202,f926(x46203,x46204))),f318(f318(f10(f927(x46204,f926(x46203,x46204)),f927(f927(x46202,x46204),f927(x46202,f926(x46203,x46204))),x46201),f10(x46204,f926(x46203,x46204),x46202)),f318(f318(f10(x46203,f927(x46204,f926(x46203,x46204)),x46201),f243(x46203,x46204)),x46205))),x46206))),f318(f318(f172(x46201,x46202),x46207),x46208)),f318(f318(f172(x46203,x46204),f318(f318(f145(x46201,x46203),x46205),x46207)),f318(f318(f145(x46202,x46204),x46206),x46208)))
% 202.84/202.77 [4623]E(f318(f318(f145(f926(x46231,x46232),x46233),f318(f248(x46231,x46232,x46233),f318(f318(f10(f927(x46232,f926(x46231,x46234)),f927(x46232,x46233),x46231),f318(f10(f926(x46231,x46234),x46233,x46232),x46235)),f318(f318(f9(x46231,f927(x46232,x46234),f927(x46232,f926(x46231,x46234))),f318(f318(f10(f927(x46234,f926(x46231,x46234)),f927(f927(x46232,x46234),f927(x46232,f926(x46231,x46234))),x46231),f10(x46234,f926(x46231,x46234),x46232)),f243(x46231,x46234))),x46236)))),f318(f318(f172(x46231,x46232),x46237),x46238)),f318(f318(f145(f926(x46231,x46234),x46233),x46235),f318(f318(f172(x46231,x46234),x46237),f318(f318(f145(x46232,x46234),x46236),x46238))))
% 202.84/202.77 [4551]E(f318(f318(f145(f926(x45511,x45512),x45513),f318(f248(x45511,x45512,x45513),f318(f318(f10(f927(x45512,f926(x45514,x45512)),f927(x45512,x45513),x45511),f318(f10(f926(x45514,x45512),x45513,x45512),x45515)),f318(f318(f10(x45514,f927(x45512,f926(x45514,x45512)),x45511),f243(x45514,x45512)),x45516)))),f318(f318(f172(x45511,x45512),x45517),x45518)),f318(f318(f145(f926(x45514,x45512),x45513),x45515),f318(f318(f172(x45514,x45512),f318(f318(f145(x45511,x45514),x45516),x45517)),x45518)))
% 202.84/202.77 [4508]E(f318(f318(f248(x45081,x45082,x45083),f318(f318(f10(f927(x45082,f926(x45084,x45085)),f927(x45082,x45083),x45081),f318(f10(f926(x45084,x45085),x45083,x45082),f318(f248(x45084,x45085,x45083),x45086))),x45087)),x45088),f318(f318(f248(x45084,x45085,x45083),x45086),f318(f318(f248(x45081,x45082,f926(x45084,x45085)),x45087),x45088)))
% 202.84/202.77 [4624]E(f318(f318(f33(f926(x46241,x46242),f927(f926(x46243,x46244),a918)),f318(f318(f245(x46241,x46242),x46245),f318(f18(f927(x46242,a918),x46241),x46246))),f318(f248(x46241,x46242,f927(f926(x46243,x46244),a918)),f318(f318(f9(x46241,f927(x46242,f927(x46243,f927(x46244,a918))),f927(x46242,f927(f926(x46243,x46244),a918))),f318(f318(f10(f927(f927(x46243,f927(x46244,a918)),f927(f926(x46243,x46244),a918)),f927(f927(x46242,f927(x46243,f927(x46244,a918))),f927(x46242,f927(f926(x46243,x46244),a918))),x46241),f10(f927(x46243,f927(x46244,a918)),f927(f926(x46243,x46244),a918),x46242)),f318(f318(f10(f927(x46243,a918),f927(f927(x46243,f927(x46244,a918)),f927(f926(x46243,x46244),a918)),x46241),f245(x46243,x46244)),x46247))),f318(f318(f10(f927(x46244,a918),f927(x46243,f927(x46244,a918)),x46242),f18(f927(x46244,a918),x46243)),x46248)))),f318(f318(f245(x46243,x46244),f318(f318(f33(x46241,f927(x46243,a918)),x46245),x46247)),f318(f18(f927(x46244,a918),x46243),f318(f318(f33(x46242,f927(x46244,a918)),x46246),x46248))))
% 202.84/202.77 [4565]E(f318(f318(f250(x45651,x45652,x45653,x45654),f318(f318(f250(x45651,x45655,x45656,f926(x45652,x45653)),x45657),x45658)),x45659),f318(f318(f250(x45651,x45655,x45656,x45654),x45657),f318(f318(f9(x45655,f927(x45652,f927(x45653,x45654)),f927(x45656,x45654)),f318(f318(f10(f927(x45656,f926(x45652,x45653)),f927(f927(x45652,f927(x45653,x45654)),f927(x45656,x45654)),x45655),f250(x45656,x45652,x45653,x45654)),x45658)),x45659)))
% 202.84/202.77 [4594]E(f318(f66(f926(x45941,x45942),f926(x45943,x45944),f926(x45945,x45946),f249(x45941,x45943,x45942,x45944,x45947,x45948)),f249(x45945,x45941,x45946,x45942,x45949,x459410)),f249(x45945,x45943,x45946,x45944,f318(f66(x45941,x45943,x45945,x45947),x45949),f318(f66(x45942,x45944,x45946,x45948),x459410)))
% 202.84/202.77 [4600]E(f318(f249(x46001,x46002,x46003,x46004,x46005,x46006),f318(f249(x46007,x46001,x46008,x46003,x46009,x460010),x460011)),f318(f249(x46007,x46002,x46008,x46004,f318(f66(x46001,x46002,x46007,x46005),x46009),f318(f66(x46003,x46004,x46008,x46006),x460010)),x460011))
% 202.84/202.77 [4727]~P72(x47271)+P72(f924(x47271))
% 202.84/202.77 [4728]~P73(x47281)+P73(f924(x47281))
% 202.84/202.77 [4729]~P111(x47291)+P111(f921(x47291))
% 202.84/202.77 [4732]~P150(x47321)+~E(f71(x47321),f2(x47321))
% 202.84/202.77 [4734]~E(x47341,f2(a90))+E(f318(a24,x47341),f2(a1))
% 202.84/202.77 [4735]~E(x47351,f2(a1))+E(f75(a1,x47351),f2(a1))
% 202.84/202.77 [4741]~P115(x47411)+P30(x47411,f2(x47411))
% 202.84/202.77 [4743]~P4(x47431)+P13(x47431,f104(x47431))
% 202.84/202.77 [4752]P1(x47521)+P1(f318(a313,x47521))
% 202.84/202.77 [4806]~P115(x48061)+~P30(x48061,f71(x48061))
% 202.84/202.77 [4843]~P1(x48431)+~P1(f318(a313,x48431))
% 202.84/202.77 [4864]E(f318(a95,x48641),f2(a920))+~P1(f318(a184,x48641))
% 202.84/202.77 [4930]~P78(x49301)+P17(x49301,x49301,f74(x49301))
% 202.84/202.77 [4931]~P103(x49311)+P15(x49311,x49311,f92(x49311))
% 202.84/202.77 [4932]~P109(x49321)+P15(x49321,x49321,f101(x49321))
% 202.84/202.77 [4933]~P102(x49331)+P15(x49331,x49331,f74(x49331))
% 202.84/202.77 [4934]~P4(x49341)+P15(x49341,x49341,f223(x49341))
% 202.84/202.77 [4935]~P4(x49351)+P15(x49351,x49351,f224(x49351))
% 202.84/202.77 [4738]~E(x47381,f2(a920))+E(f318(f91(a1),x47381),f2(a1))
% 202.84/202.77 [4745]~P100(x47451)+E(f318(f94(x47451),a76),f2(x47451))
% 202.84/202.77 [4748]~E(f586(x47481),f2(a920))+E(f318(f156(a920),x47481),f2(a920))
% 202.84/202.77 [4749]~P3(x47491)+E(f227(x47491,f225(x47491)),f223(x47491))
% 202.84/202.77 [4750]~P3(x47501)+E(f228(x47501,f225(x47501)),f224(x47501))
% 202.84/202.77 [4751]~P96(x47511)+E(f75(x47511,f2(x47511)),f2(x47511))
% 202.84/202.77 [4760]~P115(x47601)+E(f318(f91(x47601),f2(a920)),f2(x47601))
% 202.84/202.77 [4761]~P115(x47611)+E(f318(f91(x47611),f71(a920)),f71(x47611))
% 202.84/202.77 [4762]~P146(x47621)+E(f318(f93(x47621),f2(a1)),f2(x47621))
% 202.84/202.77 [4763]~P146(x47631)+E(f318(f93(x47631),f71(a1)),f71(x47631))
% 202.84/202.77 [4764]E(x47641,f2(a920))+~E(f318(f91(a1),x47641),f2(a1))
% 202.84/202.77 [4800]~P65(x48001)+E(f318(f72(x48001),f233(x48001)),f179(x48001))
% 202.84/202.77 [4801]~P65(x48011)+E(f318(f72(x48011),f179(x48011)),f233(x48011))
% 202.84/202.77 [4802]~P68(x48021)+E(f318(f72(x48021),f2(x48021)),f2(x48021))
% 202.84/202.77 [4803]~P93(x48031)+E(f318(f69(x48031),f2(x48031)),f2(x48031))
% 202.84/202.77 [4804]~P116(x48041)+E(f318(f69(x48041),f71(x48041)),f71(x48041))
% 202.84/202.77 [4805]~P89(x48051)+E(f318(f156(x48051),f104(x48051)),f2(x48051))
% 202.84/202.77 [4823]~P38(x48231)+P43(f318(f163(a1),x48231))
% 202.84/202.77 [4848]~P100(x48481)+E(f318(f72(x48481),f71(x48481)),f318(f94(x48481),a88))
% 202.84/202.77 [4863]~P100(x48631)+P30(x48631,f318(f94(x48631),a76))
% 202.84/202.77 [4889]P38(x48891)+~P43(f318(f163(a1),x48891))
% 202.84/202.77 [4936]E(f318(f91(a1),f318(a95,x49361)),x49361)+P1(f318(a184,x49361))
% 202.84/202.77 [5006]~P121(x50061)+E(f236(x50061,f71(x50061),f74(x50061)),f235(x50061))
% 202.84/202.77 [5039]~P100(x50391)+~P30(x50391,f318(f94(x50391),a88))
% 202.84/202.77 [5187]E(f318(f69(a1),x51871),x51871)+P1(f318(f318(f226(a1),x51871),f2(a1)))
% 202.84/202.77 [5205]~E(f318(a95,x52051),f2(a920))+P1(f318(f318(f225(a1),x52051),f2(a1)))
% 202.84/202.77 [5274]~P1(f318(a184,x52741))+P1(f318(f318(f226(a1),x52741),f2(a1)))
% 202.84/202.77 [5317]~P135(x53171)+P1(f318(f318(f225(x53171),f2(x53171)),f71(x53171)))
% 202.84/202.77 [5318]~P146(x53181)+P1(f318(f318(f320(x53181),f2(x53181)),f100(x53181)))
% 202.84/202.77 [5319]~P115(x53191)+P1(f318(f318(f320(x53191),f2(x53191)),f177(x53191)))
% 202.84/202.77 [5320]~P146(x53201)+P1(f318(f318(f320(x53201),f71(x53201)),f100(x53201)))
% 202.84/202.77 [5321]~P115(x53211)+P1(f318(f318(f320(x53211),f71(x53211)),f177(x53211)))
% 202.84/202.77 [5322]~P135(x53221)+P1(f318(f318(f226(x53221),f2(x53221)),f71(x53221)))
% 202.84/202.77 [5375]E(x53751,f2(a920))+~P1(f318(f318(f225(a920),x53751),f2(a920)))
% 202.84/202.77 [5417]E(f318(a95,x54171),f2(a920))+~P1(f318(f318(f225(a1),x54171),f2(a1)))
% 202.84/202.77 [5474]P1(f318(a184,x54741))+~P1(f318(f318(f226(a1),x54741),f2(a1)))
% 202.84/202.77 [5481]~P4(x54811)+P17(x54811,f921(x54811),f139(x54811,x54811,f7(x54811)))
% 202.84/202.77 [5499]P43(x54991)+~P1(f318(f318(f225(a1),f2(a1)),f324(x54991)))
% 202.84/202.77 [5504]E(f318(f69(a1),x55041),f318(f72(a1),x55041))+~P1(f318(f318(f226(a1),x55041),f2(a1)))
% 202.84/202.77 [5675]~P135(x56751)+~P1(f318(f318(f225(x56751),f71(x56751)),f2(x56751)))
% 202.84/202.77 [5676]~P135(x56761)+~P1(f318(f318(f226(x56761),f71(x56761)),f2(x56761)))
% 202.84/202.77 [5690]~E(x56901,f2(a920))+P1(f318(f318(f225(a1),f318(f91(a1),x56901)),f2(a1)))
% 202.84/202.77 [5691]~E(x56911,f2(a1))+P1(f318(f318(f226(a1),f318(f69(a1),x56911)),f71(a1)))
% 202.84/202.77 [5815]~P89(x58151)+E(f133(x58151,x58151,f73(x58151),f2(x58151)),f156(x58151))
% 202.84/202.77 [5990]~P110(x59901)+P25(a920,x59901,f91(x59901),f233(f927(a920,a918)))
% 202.84/202.77 [6200]E(x62001,f2(a920))+~P1(f318(f318(f225(a1),f318(f91(a1),x62001)),f2(a1)))
% 202.84/202.77 [6201]E(x62011,f2(a1))+~P1(f318(f318(f226(a1),f318(f69(a1),x62011)),f71(a1)))
% 202.84/202.77 [7017]~P1(f318(f318(f226(a1),x70171),f2(a1)))+P1(f318(f318(f226(a1),f318(f318(f73(a1),x70171),x70171)),f2(a1)))
% 202.84/202.77 [7580]P1(f318(f318(f226(a1),x75801),f2(a1)))+~P1(f318(f318(f226(a1),f318(f318(f73(a1),x75801),x75801)),f2(a1)))
% 202.84/202.77 [8129]E(x81291,f318(a5,f2(a920)))+P1(f318(f318(f226(a920),f318(f318(f3(a920),f318(a22,x81291)),f318(a103,f2(a920)))),f318(a22,x81291)))
% 202.84/202.77 [8904]~P1(f318(f318(f226(a1),x89041),f2(a1)))+P1(f318(f318(f226(a1),f318(f318(f3(a1),f318(f318(f73(a1),x89041),x89041)),a88)),f2(a1)))
% 202.84/202.77 [9002]~P1(f318(f318(f226(a1),x90021),f2(a1)))+P1(f318(f318(f226(a1),f318(f318(f73(a1),f318(f318(f73(a1),f71(a1)),x90021)),x90021)),f2(a1)))
% 202.84/202.77 [9325]P1(f318(f318(f226(a1),x93251),f2(a1)))+~P1(f318(f318(f226(a1),f318(f318(f3(a1),f318(f318(f73(a1),x93251),x93251)),a88)),f2(a1)))
% 202.84/202.77 [9388]P1(f318(f318(f226(a1),x93881),f2(a1)))+~P1(f318(f318(f226(a1),f318(f318(f73(a1),f318(f318(f73(a1),f71(a1)),x93881)),x93881)),f2(a1)))
% 202.84/202.77 [4837]~E(a76,x48371)+E(f318(f318(f73(a1),x48371),x48371),a76)
% 202.84/202.77 [4838]~E(x48381,a76)+E(f318(f318(f73(a1),x48381),x48381),a76)
% 202.84/202.77 [4849]E(x48491,f2(a1))+E(f318(f318(f30(a1),x48491),x48491),f71(a1))
% 202.84/202.77 [4983]E(x49831,a76)+~E(f318(f318(f73(a1),x49831),x49831),a76)
% 202.84/202.77 [4984]E(a76,x49841)+~E(f318(f318(f73(a1),x49841),x49841),a76)
% 202.84/202.77 [4996]~P5(x49961)+E(f32(x49961,f233(f927(x49961,a918))),f179(x49961))
% 202.84/202.77 [4997]~P5(x49971)+E(f32(x49971,f179(f927(x49971,a918))),f233(x49971))
% 202.84/202.77 [4998]~P5(x49981)+E(f31(x49981,f233(f927(x49981,a918))),f233(x49981))
% 202.84/202.77 [4999]~P5(x49991)+E(f31(x49991,f179(f927(x49991,a918))),f179(x49991))
% 202.84/202.77 [5000]~P4(x50001)+E(f130(x50001,f179(f927(x50001,a918))),f104(x50001))
% 202.84/202.77 [5143]E(x51431,f2(a920))+P1(f318(f318(f226(a920),f2(a920)),x51431))
% 202.84/202.77 [5162]~P6(x51621)+P1(f318(f318(f225(a1),f2(a1)),x51621))
% 202.84/202.77 [5196]~E(f318(f94(a920),x51961),f2(a920))+P1(f318(f318(f225(a1),x51961),a76))
% 202.84/202.77 [5201]P43(x52011)+P1(f318(f318(f320(a1),f324(x52011)),x52011))
% 202.84/202.77 [5202]E(x52021,f318(a5,f2(a920)))+P1(f318(f318(f225(a90),f71(a90)),x52021))
% 202.84/202.77 [5245]P1(f318(a184,x52451))+P1(f318(f318(f225(a1),f2(a1)),x52451))
% 202.84/202.77 [5299]E(f318(f91(a1),f318(a95,x52991)),f2(a1))+P1(f318(f318(f225(a1),f2(a1)),x52991))
% 202.84/202.77 [5357]E(f318(f91(a1),f318(f94(a920),x53571)),f318(f94(a1),x53571))+P1(f318(a184,f318(f94(a1),x53571)))
% 202.84/202.77 [5381]E(f318(f94(a920),x53811),f2(a920))+~P1(f318(a184,f318(f94(a1),x53811)))
% 202.84/202.77 [5382]E(f318(f94(a920),x53821),f2(a920))+~P1(f318(f318(f225(a1),x53821),a76))
% 202.84/202.77 [5414]P6(x54141)+~P1(f318(f318(f225(a1),f2(a1)),x54141))
% 202.84/202.77 [5450]~E(x54501,f318(a103,f2(a920)))+P1(f318(f318(f278(a920),x54501),f318(a103,f2(a920))))
% 202.84/202.77 [5484]E(f318(a103,f676(x54841)),x54841)+~P1(f318(f318(f226(a920),f2(a920)),x54841))
% 202.84/202.77 [5493]E(f318(a103,f318(f94(a920),x54931)),f71(a920))+~P1(f318(a184,f318(f94(a1),x54931)))
% 202.84/202.77 [5500]E(f318(f91(a1),f327(x55001)),x55001)+~P1(f318(f318(f226(a1),f2(a1)),x55001))
% 202.84/202.77 [5507]~E(x55071,f318(a5,f2(a920)))+~P1(f318(f318(f225(a90),f71(a90)),x55071))
% 202.84/202.77 [5514]E(f318(f91(a1),f318(f94(a920),x55141)),f2(a1))+~P1(f318(a184,f318(f94(a1),x55141)))
% 202.84/202.77 [5540]E(f318(f156(a920),x55401),f2(a920))+P1(f318(f318(f320(a920),f586(x55401)),f318(f163(a920),x55401)))
% 202.84/202.77 [5560]E(f318(f91(a1),f318(a95,x55601)),x55601)+~P1(f318(f318(f225(a1),f2(a1)),x55601))
% 202.84/202.77 [5568]~P1(f318(a184,x55681))+~P1(f318(f318(f225(a1),f2(a1)),x55681))
% 202.84/202.77 [5668]E(f318(f318(f73(a920),f71(a920)),f318(f94(a920),x56681)),f71(a920))+~P1(f318(f318(f226(a1),x56681),a76))
% 202.84/202.77 [5732]E(x57321,f2(a920))+~P1(f318(f318(f226(a920),x57321),f318(a103,f2(a920))))
% 202.84/202.77 [5755]E(x57551,f318(a103,f2(a920)))+~P1(f318(f318(f278(a920),x57551),f318(a103,f2(a920))))
% 202.84/202.77 [5773]E(f318(f318(f3(a920),f318(f94(a920),x57731)),f71(a920)),f2(a920))+~P1(f318(f318(f225(a1),x57731),a76))
% 202.84/202.77 [5774]E(f318(f318(f73(a920),f318(f94(a920),x57741)),f71(a920)),f71(a920))+~P1(f318(f318(f226(a1),x57741),a76))
% 202.84/202.77 [5786]~P43(x57861)+E(f318(f29(a920),f318(f301(a1,a920,a95),x57861)),f318(f29(a1),x57861))
% 202.84/202.77 [5816]~P4(x58161)+E(f227(x58161,f318(f9(x58161,x58161,a918),f225(x58161))),f224(x58161))
% 202.84/202.77 [5817]~P4(x58171)+E(f228(x58171,f318(f9(x58171,x58171,a918),f225(x58171))),f223(x58171))
% 202.84/202.77 [5827]E(f39(a920,f318(a103,f2(a920)),f318(f94(a920),x58271)),f318(a103,f2(a920)))+~P1(f318(a184,f318(f94(a1),x58271)))
% 202.84/202.77 [5836]~P1(f318(f318(f226(a1),f2(a1)),x58361))+P1(f318(f318(f225(a1),f71(a1)),x58361))
% 202.84/202.77 [5837]P1(f318(f318(f226(a1),f2(a1)),x58371))+~P1(f318(f318(f225(a1),f71(a1)),x58371))
% 202.84/202.77 [5848]E(f318(a103,f318(f318(f3(a920),x58481),f71(a920))),x58481)+~P1(f318(f318(f226(a920),f2(a920)),x58481))
% 202.84/202.77 [5904]P1(f318(f318(f226(a920),f2(a920)),f327(x59041)))+~P1(f318(f318(f226(a1),f2(a1)),x59041))
% 202.84/202.77 [5965]E(f39(a1,f318(f94(a1),a88),x59651),f318(f318(f3(a1),x59651),f71(a1)))+~P1(f318(f318(f226(a1),f2(a1)),x59651))
% 202.84/202.77 [6003]~P1(f318(f318(f226(a1),a76),x60031))+P1(f318(f318(f226(a920),f2(a920)),f318(f94(a920),x60031)))
% 202.84/202.77 [6009]E(f318(a22,f812(x60091)),x60091)+~P1(f318(f318(f320(a920),x60091),f233(f927(a920,a918))))
% 202.84/202.77 [6062]P1(f318(f318(f226(a920),f2(a920)),f318(a95,x60621)))+~P1(f318(f318(f226(a1),f2(a1)),x60621))
% 202.84/202.77 [6112]~P1(f318(f318(f226(a920),f2(a920)),x61121))+P1(f318(f318(f226(a1),f2(a1)),f318(f91(a1),x61121)))
% 202.84/202.77 [6148]~P1(f318(f318(f226(a920),f2(a920)),f318(a95,x61481)))+P1(f318(f318(f226(a1),f2(a1)),x61481))
% 202.84/202.77 [6167]~P43(x61671)+E(f318(f301(a920,a1,f91(a1)),f318(f301(a1,a920,a95),x61671)),x61671)
% 202.84/202.77 [6180]P1(f318(f318(f226(a1),a76),x61801))+~P1(f318(f318(f226(a920),f2(a920)),f318(f94(a920),x61801)))
% 202.84/202.77 [6238]P1(f318(f318(f226(a920),f2(a920)),x62381))+~P1(f318(f318(f226(a1),f2(a1)),f318(f91(a1),x62381)))
% 202.84/202.77 [6355]E(f318(f301(a920,a1,f91(a1)),f318(f273(a920),f318(a95,x63551))),f318(f293(a1,f2(a1)),x63551))+~P1(f318(f318(f225(a1),f2(a1)),x63551))
% 202.84/202.77 [6372]~P135(x63721)+P1(f318(f318(f226(x63721),f2(x63721)),f318(f318(f73(x63721),f71(x63721)),f71(x63721))))
% 202.84/202.77 [6421]P1(f318(f318(f226(a920),f318(a103,f2(a920))),f318(a95,x64211)))+~P1(f318(f318(f226(a1),f71(a1)),x64211))
% 202.84/202.77 [6522]E(x65221,f2(a1))+P1(f318(f43(f2(a1),x65221),f318(f318(f243(a1,a1),f2(a1)),f2(a1))))
% 202.84/202.77 [6693]~P1(f318(f318(f226(a920),f318(a103,f2(a920))),f318(a95,x66931)))+P1(f318(f318(f226(a1),f71(a1)),x66931))
% 202.84/202.77 [7133]~P122(x71331)+P39(x71331,f318(f253(f926(x71331,x71331)),f318(f248(x71331,x71331,a918),f226(x71331))))
% 202.84/202.77 [5719]E(f318(f94(a920),f318(f318(f3(a1),x57191),a88)),f318(a103,f318(f94(a920),x57191)))+P1(f318(a184,f318(f94(a1),x57191)))
% 202.84/202.77 [5735]~P38(x57351)+E(f318(f318(f145(a920,a1),f91(a1)),f318(f318(f145(a1,a920),a95),x57351)),x57351)
% 202.84/202.77 [5749]P28(a917,a823,x57491)+~P1(f318(f318(f320(f919(a917)),x57491),a929))
% 202.84/202.77 [5854]E(f318(f72(a1),f318(f91(a1),f318(a103,f328(x58541)))),x58541)+~P1(f318(f318(f226(a1),x58541),f2(a1)))
% 202.84/202.77 [5864]E(f318(f318(f73(a920),f71(a920)),f318(f94(a920),x58641)),f318(f94(a920),f318(f318(f3(a1),x58641),a88)))+P1(f318(f318(f226(a1),x58641),a76))
% 202.84/202.77 [5906]E(f318(f318(f30(a1),f318(f94(a1),a88)),x59061),f318(f94(a1),a88))+~P1(f318(f318(f226(a1),f2(a1)),x59061))
% 202.84/202.77 [5999]E(f318(f318(f3(a920),f318(f94(a920),x59991)),f71(a920)),f318(f94(a920),f318(f318(f73(a1),x59991),a88)))+P1(f318(f318(f225(a1),x59991),a76))
% 202.84/202.77 [6000]E(f318(f318(f73(a920),f318(f94(a920),x60001)),f71(a920)),f318(f94(a920),f318(f318(f3(a1),x60001),a88)))+P1(f318(f318(f226(a1),x60001),a76))
% 202.84/202.77 [6047]E(f318(a95,f318(f318(f73(a1),f71(a1)),x60471)),f318(a103,f318(a95,x60471)))+~P1(f318(f318(f225(a1),f2(a1)),x60471))
% 202.84/202.77 [6083]E(f318(a103,f318(f318(f3(a920),x60831),f318(a103,f2(a920)))),x60831)+~P1(f318(f318(f226(a920),f2(a920)),x60831))
% 202.84/202.77 [6304]E(f39(a920,f318(a103,f2(a920)),f318(f94(a920),x63041)),f318(a95,f39(a1,f71(a1),f318(f94(a1),x63041))))+P1(f318(a184,f318(f94(a1),x63041)))
% 202.84/202.77 [6348]~P1(f318(f318(f226(a1),a88),x63481))+P1(f318(f318(f225(a1),a88),f318(f318(f73(a1),x63481),x63481)))
% 202.84/202.77 [6349]~P1(f318(f318(f225(a1),a76),x63491))+P1(f318(f318(f225(a1),a76),f318(f318(f73(a1),x63491),x63491)))
% 202.84/202.77 [6350]~P1(f318(f318(f226(a1),a88),x63501))+P1(f318(f318(f226(a1),a88),f318(f318(f73(a1),x63501),x63501)))
% 202.84/202.77 [6351]~P1(f318(f318(f226(a1),a76),x63511))+P1(f318(f318(f226(a1),a76),f318(f318(f73(a1),x63511),x63511)))
% 202.84/202.77 [6535]~P1(f318(f55(x65351),f233(f927(x65351,a918))))+P1(f318(f55(f924(x65351)),f233(f927(f924(x65351),a918))))
% 202.84/202.77 [6623]~P1(f318(f318(f225(a1),f2(a1)),x66231))+P1(f318(f318(f226(a1),f2(a1)),f318(f318(f73(a1),f71(a1)),x66231)))
% 202.84/202.77 [6630]E(f318(f242(a1,a1),f41(f71(a1),f318(f94(a1),x66301))),f318(f318(f30(a1),f71(a1)),f318(f94(a1),x66301)))+~P1(f318(f318(f225(a1),f2(a1)),f318(f94(a1),x66301)))
% 202.84/202.77 [6652]E(f318(f247(a1,a1),f41(f71(a1),f318(f94(a1),x66521))),f39(a1,f71(a1),f318(f94(a1),x66521)))+~P1(f318(f318(f225(a1),f2(a1)),f318(f94(a1),x66521)))
% 202.84/202.77 [6664]P1(f318(f55(x66641),f233(f927(x66641,a918))))+~P1(f318(f55(f924(x66641)),f233(f927(f924(x66641),a918))))
% 202.84/202.77 [6694]P1(f318(f318(f225(a1),a76),x66941))+~P1(f318(f318(f225(a1),a76),f318(f318(f73(a1),x66941),x66941)))
% 202.84/202.77 [6695]P1(f318(f318(f226(a1),a88),x66951))+~P1(f318(f318(f225(a1),a88),f318(f318(f73(a1),x66951),x66951)))
% 202.84/202.77 [6696]P1(f318(f318(f226(a1),a88),x66961))+~P1(f318(f318(f226(a1),a88),f318(f318(f73(a1),x66961),x66961)))
% 202.84/202.77 [6697]P1(f318(f318(f226(a1),a76),x66971))+~P1(f318(f318(f226(a1),a76),f318(f318(f73(a1),x66971),x66971)))
% 202.84/202.77 [7023]~P1(f318(f55(x70231),f233(f927(x70231,a918))))+P1(f318(f318(f226(a920),f2(a920)),f318(f29(x70231),f233(f927(x70231,a918)))))
% 202.84/202.77 [7618]P1(f318(f55(a920),x76181))+~P1(f318(f55(a1),f318(f301(a920,a1,f91(a1)),x76181)))
% 202.84/202.77 [5643]~E(a88,x56431)+E(f318(f318(f3(a1),f318(f318(f73(a1),x56431),x56431)),a88),a88)
% 202.84/202.77 [5644]~E(x56441,a88)+E(f318(f318(f3(a1),f318(f318(f73(a1),x56441),x56441)),a88),a88)
% 202.84/202.77 [6175]E(x61751,a88)+~E(f318(f318(f3(a1),f318(f318(f73(a1),x61751),x61751)),a88),a88)
% 202.84/202.77 [6176]E(a88,x61761)+~E(f318(f318(f3(a1),f318(f318(f73(a1),x61761),x61761)),a88),a88)
% 202.84/202.77 [6591]~E(f318(f94(a920),x65911),f2(a920))+P1(f318(a184,f318(f94(a1),f318(f318(f73(a1),x65911),a88))))
% 202.84/202.77 [6950]~P1(f318(a184,f318(f94(a1),x69501)))+P1(f318(a184,f318(f94(a1),f318(f318(f73(a1),x69501),x69501))))
% 202.84/202.77 [6951]~P1(f318(f318(f225(a1),x69511),a88))+P1(f318(f318(f225(a1),f318(f318(f73(a1),x69511),x69511)),a88))
% 202.84/202.77 [6952]~P1(f318(f318(f225(a1),x69521),a76))+P1(f318(f318(f225(a1),f318(f318(f73(a1),x69521),x69521)),a76))
% 202.84/202.77 [6953]~P1(f318(f318(f225(a1),x69531),a88))+P1(f318(f318(f226(a1),f318(f318(f73(a1),x69531),x69531)),a88))
% 202.84/202.77 [6954]~P1(f318(f318(f226(a1),x69541),a76))+P1(f318(f318(f226(a1),f318(f318(f73(a1),x69541),x69541)),a76))
% 202.84/202.77 [7280]E(f318(f94(a920),x72801),f2(a920))+~P1(f318(a184,f318(f94(a1),f318(f318(f73(a1),x72801),a88))))
% 202.84/202.77 [7534]~P1(f318(f318(f225(a1),f2(a1)),f318(f94(a1),x75341)))+P1(f318(f318(f225(a1),f2(a1)),f318(f94(a1),f318(f318(f73(a1),x75341),x75341))))
% 202.84/202.77 [7535]P1(f318(a184,f318(f94(a1),x75351)))+~P1(f318(a184,f318(f94(a1),f318(f318(f73(a1),x75351),x75351))))
% 202.84/202.77 [7536]P1(f318(f318(f225(a1),x75361),a88))+~P1(f318(f318(f225(a1),f318(f318(f73(a1),x75361),x75361)),a88))
% 202.84/202.77 [7537]P1(f318(f318(f225(a1),x75371),a88))+~P1(f318(f318(f226(a1),f318(f318(f73(a1),x75371),x75371)),a88))
% 202.84/202.77 [7538]P1(f318(f318(f225(a1),x75381),a76))+~P1(f318(f318(f225(a1),f318(f318(f73(a1),x75381),x75381)),a76))
% 202.84/202.77 [7539]P1(f318(f318(f226(a1),x75391),a76))+~P1(f318(f318(f226(a1),f318(f318(f73(a1),x75391),x75391)),a76))
% 202.84/202.77 [7898]E(f318(a97,f546(x78981)),x78981)+~P1(f318(f318(f320(f927(f926(a920,a920),a918)),x78981),a89))
% 202.84/202.77 [6508]~P100(x65081)+E(f318(f94(x65081),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f71(x65081))
% 202.84/202.77 [7000]~P1(f318(a184,f318(f94(a1),x70001)))+E(f318(f94(a920),f318(f318(f3(a1),f318(f318(f73(a1),x70001),x70001)),a88)),f2(a920))
% 202.84/202.77 [8074]~P1(f318(f318(f226(a1),f318(f94(a1),x80741)),f2(a1)))+E(f318(f242(a1,a1),f318(a45,f44(f318(f72(a1),f71(a1)),f318(f72(a1),f318(f94(a1),x80741))))),f318(f318(f30(a1),f71(a1)),f318(f94(a1),x80741)))
% 202.84/202.77 [8087]~P1(f318(f318(f226(a1),f318(f94(a1),x80871)),f2(a1)))+E(f318(f247(a1,a1),f318(a45,f44(f318(f72(a1),f71(a1)),f318(f72(a1),f318(f94(a1),x80871))))),f39(a1,f71(a1),f318(f94(a1),x80871)))
% 202.84/202.77 [8137]~P1(f318(f318(f225(a1),a88),x81371))+P1(f318(f318(f225(a1),a88),f318(f318(f3(a1),f318(f318(f73(a1),x81371),x81371)),a88)))
% 202.84/202.77 [8138]~P1(f318(f318(f225(a1),a76),x81381))+P1(f318(f318(f225(a1),a76),f318(f318(f3(a1),f318(f318(f73(a1),x81381),x81381)),a88)))
% 202.84/202.77 [8139]~P1(f318(f318(f226(a1),a88),x81391))+P1(f318(f318(f226(a1),a88),f318(f318(f3(a1),f318(f318(f73(a1),x81391),x81391)),a88)))
% 202.84/202.77 [8140]~P1(f318(f318(f225(a1),a76),x81401))+P1(f318(f318(f226(a1),a76),f318(f318(f3(a1),f318(f318(f73(a1),x81401),x81401)),a88)))
% 202.84/202.77 [8441]~P100(x84411)+~P30(x84411,f318(f94(x84411),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))
% 202.84/202.77 [8624]P1(f318(f318(f225(a1),a88),x86241))+~P1(f318(f318(f225(a1),a88),f318(f318(f3(a1),f318(f318(f73(a1),x86241),x86241)),a88)))
% 202.84/202.77 [8625]P1(f318(f318(f225(a1),a76),x86251))+~P1(f318(f318(f225(a1),a76),f318(f318(f3(a1),f318(f318(f73(a1),x86251),x86251)),a88)))
% 202.84/202.77 [8626]P1(f318(f318(f225(a1),a76),x86261))+~P1(f318(f318(f226(a1),a76),f318(f318(f3(a1),f318(f318(f73(a1),x86261),x86261)),a88)))
% 202.84/202.77 [8627]P1(f318(f318(f226(a1),a88),x86271))+~P1(f318(f318(f226(a1),a88),f318(f318(f3(a1),f318(f318(f73(a1),x86271),x86271)),a88)))
% 202.84/202.77 [8951]E(f318(f94(a920),f318(f318(f3(a1),f318(f318(f73(a1),x89511),x89511)),a88)),f318(f318(f79(a920,a920),f318(f94(a920),x89511)),f318(f318(f10(a920,a920,a920),a103),f318(f318(f20(a920,a920,a920),f73(a920)),f7(a920)))))+P1(f318(a184,f318(f94(a1),x89511)))
% 202.84/202.77 [9818]E(x98181,f179(f927(f926(a920,a920),a918)))+P1(f318(f318(f320(f926(f927(f926(a920,a920),a918),f927(f926(a920,a920),a918))),f318(f318(f243(f927(f926(a920,a920),a918),f927(f926(a920,a920),a918)),x98181),f179(f927(f926(a920,a920),a918)))),a27))
% 202.84/202.77 [8878]~P1(f318(a184,f318(f94(a1),x88781)))+P1(f318(a184,f318(f94(a1),f318(f318(f3(a1),f318(f318(f73(a1),x88781),x88781)),a88))))
% 202.84/202.77 [8879]~P1(f318(f318(f225(a1),x88791),a88))+P1(f318(f318(f225(a1),f318(f318(f3(a1),f318(f318(f73(a1),x88791),x88791)),a88)),a88))
% 202.84/202.77 [8880]~P1(f318(f318(f226(a1),x88801),a76))+P1(f318(f318(f225(a1),f318(f318(f3(a1),f318(f318(f73(a1),x88801),x88801)),a88)),a76))
% 202.84/202.77 [8881]~P1(f318(f318(f226(a1),x88811),a88))+P1(f318(f318(f226(a1),f318(f318(f3(a1),f318(f318(f73(a1),x88811),x88811)),a88)),a88))
% 202.84/202.77 [8882]~P1(f318(f318(f226(a1),x88821),a76))+P1(f318(f318(f226(a1),f318(f318(f3(a1),f318(f318(f73(a1),x88821),x88821)),a88)),a76))
% 202.84/202.77 [8993]~P1(f318(f318(f225(a1),f2(a1)),f318(f94(a1),x89931)))+P1(f318(f318(f225(a1),f2(a1)),f318(f94(a1),f318(f318(f3(a1),f318(f318(f73(a1),x89931),x89931)),a88))))
% 202.84/202.77 [9154]~P100(x91541)+E(f318(f318(f73(x91541),f71(x91541)),f71(x91541)),f318(f94(x91541),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88))))
% 202.84/202.77 [9309]P1(f318(a184,f318(f94(a1),x93091)))+~P1(f318(a184,f318(f94(a1),f318(f318(f3(a1),f318(f318(f73(a1),x93091),x93091)),a88))))
% 202.84/202.77 [9310]P1(f318(f318(f225(a1),x93101),a88))+~P1(f318(f318(f225(a1),f318(f318(f3(a1),f318(f318(f73(a1),x93101),x93101)),a88)),a88))
% 202.84/202.77 [9311]P1(f318(f318(f226(a1),x93111),a88))+~P1(f318(f318(f226(a1),f318(f318(f3(a1),f318(f318(f73(a1),x93111),x93111)),a88)),a88))
% 202.84/202.77 [9312]P1(f318(f318(f226(a1),x93121),a76))+~P1(f318(f318(f225(a1),f318(f318(f3(a1),f318(f318(f73(a1),x93121),x93121)),a88)),a76))
% 202.84/202.77 [9313]P1(f318(f318(f226(a1),x93131),a76))+~P1(f318(f318(f226(a1),f318(f318(f3(a1),f318(f318(f73(a1),x93131),x93131)),a88)),a76))
% 202.84/202.77 [9863]~P1(f318(f55(f926(a920,a920)),x98631))+P1(f318(f318(f320(f926(f927(f926(a920,a920),a918),f927(f926(a920,a920),a918))),f318(f318(f243(f927(f926(a920,a920),a918),f927(f926(a920,a920),a918)),f179(f927(f926(a920,a920),a918))),x98631)),a63))
% 202.84/202.77 [9646]~P115(x96461)+E(f318(f318(f235(x96461),f2(x96461)),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))),f2(x96461))
% 202.84/202.77 [9647]~P115(x96471)+E(f318(f318(f235(x96471),f71(x96471)),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))),f71(x96471))
% 202.84/202.77 [10093]~P1(f318(f318(f226(a920),f71(a920)),x100931))+P1(f318(f318(f226(a920),f2(a920)),f318(f318(f30(a920),x100931),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88))))))
% 202.84/202.77 [10099]~P1(f318(f318(f226(a920),f2(a920)),x100991))+P1(f318(f318(f226(a920),f2(a920)),f318(f318(f30(a920),f318(f318(f73(a920),x100991),f71(a920))),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88))))))
% 202.84/202.77 [10137]~E(f39(a920,x101371,f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))),f71(a920))+P1(f318(f318(f226(a920),f2(a920)),f39(a920,x101371,f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88))))))
% 202.84/202.77 [10167]E(f39(a920,x101671,f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))),f71(a920))+~P1(f318(f318(f226(a920),f2(a920)),f39(a920,x101671,f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88))))))
% 202.84/202.77 [4769]~P7(x47691,x47692)+P51(x47691,x47692)
% 202.84/202.77 [4770]~P39(x47701,x47702)+P61(x47701,x47702)
% 202.84/202.77 [4771]~P46(x47711,x47712)+P61(x47711,x47712)
% 202.84/202.77 [4773]~P7(x47731,x47732)+P53(x47731,x47732)
% 202.84/202.77 [4775]~P16(x47751,x47752)+P53(x47751,x47752)
% 202.84/202.77 [4777]~P7(x47771,x47772)+P54(x47771,x47772)
% 202.84/202.77 [4779]~P16(x47791,x47792)+P54(x47791,x47792)
% 202.84/202.77 [4780]~P7(x47801,x47802)+P16(x47801,x47802)
% 202.84/202.77 [4730]~E(x47301,x47302)+E(f260(x47301,x47302),f71(a90))
% 202.84/202.77 [4733]E(f207(x47331,x47332),x47331)+~E(x47332,f2(a920))
% 202.84/202.77 [4740]~E(x47402,f104(x47401))+E(f143(x47401,x47402),f104(x47401))
% 202.84/202.77 [4759]~E(f143(x47592,x47591),f104(x47592))+E(x47591,f104(x47592))
% 202.84/202.77 [4784]~P2(x47842)+P2(f927(x47841,x47842))
% 202.84/202.77 [4785]~P3(x47852)+P3(f927(x47851,x47852))
% 202.84/202.77 [4786]~P113(x47862)+P113(f927(x47861,x47862))
% 202.84/202.77 [4787]~P5(x47872)+P5(f927(x47871,x47872))
% 202.84/202.77 [4788]~P114(x47882)+P114(f927(x47881,x47882))
% 202.84/202.77 [4789]~P64(x47892)+P64(f927(x47891,x47892))
% 202.84/202.77 [4790]~P65(x47902)+P65(f927(x47901,x47902))
% 202.84/202.77 [4791]~P104(x47912)+P103(f927(x47911,x47912))
% 202.84/202.77 [4792]~P104(x47922)+P109(f927(x47921,x47922))
% 202.84/202.77 [4793]~P104(x47932)+P104(f927(x47931,x47932))
% 202.84/202.77 [4794]~P106(x47942)+P105(f927(x47941,x47942))
% 202.84/202.77 [4795]~P107(x47952)+P107(f927(x47951,x47952))
% 202.84/202.77 [4796]~P106(x47962)+P108(f927(x47961,x47962))
% 202.84/202.77 [4797]~P66(x47972)+P66(f927(x47971,x47972))
% 202.84/202.77 [4798]~P85(x47982)+P85(f927(x47981,x47982))
% 202.84/202.77 [4799]~P106(x47992)+P106(f927(x47991,x47992))
% 202.84/202.77 [4812]E(x48121,x48122)+~E(f318(a103,x48121),f318(a103,x48122))
% 202.84/202.77 [4813]E(x48131,x48132)+~E(f318(a97,x48131),f318(a97,x48132))
% 202.84/202.77 [4814]E(x48141,x48142)+~E(f318(a5,x48141),f318(a5,x48142))
% 202.84/202.77 [4816]E(x48161,x48162)+~E(f318(a22,x48161),f318(a22,x48162))
% 202.84/202.77 [4865]P41(x48651,x48652)+~E(f709(x48652,x48651),f710(x48652,x48651))
% 202.84/202.77 [4895]~P61(x48951,x48952)+P41(x48951,f298(x48951,x48952))
% 202.84/202.77 [4896]~P55(x48961,x48962)+P55(x48961,f298(x48961,x48962))
% 202.84/202.77 [4909]~P70(x49091)+E(f39(x49091,x49092,x49092),f2(x49091))
% 202.84/202.77 [4943]~P39(x49431,x49432)+P39(f921(x49431),f137(x49431,x49432))
% 202.84/202.77 [4944]~P39(x49441,x49442)+P39(f921(x49441),f136(x49441,x49442))
% 202.84/202.77 [4945]~P40(x49451,x49452)+P40(f921(x49451),f138(x49451,x49452))
% 202.84/202.77 [4946]~P40(x49461,x49462)+P40(f921(x49461),f149(x49461,x49462))
% 202.84/202.77 [4947]~P55(x49471,x49472)+P55(f921(x49471),f149(x49471,x49472))
% 202.84/202.77 [5044]~P39(x50441,x50442)+P39(f927(x50441,a918),f309(x50441,x50442))
% 202.84/202.77 [5045]~P39(x50451,x50452)+P39(f927(x50451,a918),f310(x50451,x50452))
% 202.84/202.77 [5171]~P6(x51711)+P43(f294(a1,x51711,x51712))
% 202.84/202.77 [5277]~P39(x52771,x52772)+P63(x52771,f61(x52771,x52771,x52772))
% 202.84/202.77 [5780]~P67(x57801)+P25(x57801,x57801,f72(x57801),x57802)
% 202.84/202.77 [4754]~E(x47542,f104(x47541))+E(f318(f158(x47541),x47542),f104(x47541))
% 202.84/202.77 [4755]~E(x47552,f104(x47551))+E(f318(f159(x47551),x47552),f104(x47551))
% 202.84/202.77 [4818]E(x48181,f318(a95,x48182))+~E(f318(f91(a1),x48181),x48182)
% 202.84/202.77 [4821]E(x48211,f104(x48212))+~E(f318(f158(x48212),x48211),f104(x48212))
% 202.84/202.77 [4822]E(x48221,f104(x48222))+~E(f318(f159(x48222),x48221),f104(x48222))
% 202.84/202.77 [4834]~P100(x48341)+E(f318(f94(x48341),x48342),f318(f93(x48341),x48342))
% 202.84/202.77 [4842]~P72(x48421)+P1(f318(f55(x48421),x48422))
% 202.84/202.77 [4850]~E(f670(x48502,x48501),f104(x48501))+E(f170(x48501,x48502),f104(f921(x48501)))
% 202.84/202.77 [4859]~E(x48592,f104(x48591))+E(f318(f163(x48591),x48592),f179(f927(x48591,a918)))
% 202.84/202.77 [4860]~E(x48602,f104(x48601))+E(f179(f927(x48601,a918)),f318(f163(x48601),x48602))
% 202.84/202.77 [4862]E(x48621,x48622)+~E(f318(f91(a1),x48621),f318(f91(a1),x48622))
% 202.84/202.77 [4866]E(f205(x48661,x48662),f2(a920))+P1(f318(f55(x48661),x48662))
% 202.84/202.77 [4884]~P116(x48841)+E(f75(x48841,f75(x48841,x48842)),f75(x48841,x48842))
% 202.84/202.77 [4898]~P118(x48981)+E(f318(f318(f235(x48981),x48982),f71(a920)),x48982)
% 202.84/202.77 [4899]~P90(x48991)+E(f318(f318(f235(x48991),x48992),f71(a920)),x48992)
% 202.84/202.77 [4900]~P55(x49001,x49002)+E(f318(f277(x49001,x49001),x49002),x49002)
% 202.84/202.77 [4904]E(x49041,x49042)+E(f260(x49041,x49042),f318(f318(f73(a90),x49042),f71(a90)))
% 202.84/202.77 [4907]E(f318(f29(x49071),x49072),f2(a920))+P1(f318(f55(x49071),x49072))
% 202.84/202.77 [4910]~E(f143(x49101,x49102),x49102)+P1(f318(f128(x49101),x49102))
% 202.84/202.77 [4913]~P108(x49131)+E(f318(f318(f92(x49131),x49132),f233(x49131)),x49132)
% 202.84/202.77 [4914]~P105(x49141)+E(f318(f318(f101(x49141),x49142),f179(x49141)),x49142)
% 202.84/202.77 [4915]~P68(x49151)+E(f318(f318(f3(x49151),x49152),f2(x49151)),x49152)
% 202.84/202.77 [4916]~P118(x49161)+E(f318(f318(f74(x49161),x49162),f71(x49161)),x49162)
% 202.84/202.77 [4917]~P84(x49171)+E(f318(f318(f74(x49171),x49172),f71(x49171)),x49172)
% 202.84/202.77 [4918]~P90(x49181)+E(f318(f318(f74(x49181),x49182),f71(x49181)),x49182)
% 202.84/202.77 [4919]~P118(x49191)+E(f318(f318(f73(x49191),x49192),f2(x49191)),x49192)
% 202.84/202.77 [4920]~P83(x49201)+E(f318(f318(f73(x49201),x49202),f2(x49201)),x49202)
% 202.84/202.77 [4921]~P89(x49211)+E(f318(f318(f73(x49211),x49212),f2(x49211)),x49212)
% 202.84/202.77 [4922]~P70(x49221)+E(f318(f318(f30(x49221),x49222),f71(x49221)),x49222)
% 202.84/202.77 [4923]~P125(x49231)+E(f318(f318(f282(x49231),x49232),f71(x49231)),x49232)
% 202.84/202.77 [4924]~P118(x49241)+E(f318(f318(f235(x49241),x49242),f2(a920)),f71(x49241))
% 202.84/202.77 [4925]~P121(x49251)+E(f318(f318(f235(x49251),x49252),f2(a920)),f71(x49251))
% 202.84/202.77 [4926]~E(x49262,f179(f927(x49261,a918)))+E(f318(f29(x49261),x49262),f2(a920))
% 202.84/202.77 [4937]~P70(x49371)+E(f39(x49371,x49372,f2(x49371)),x49372)
% 202.84/202.77 [4948]~P105(x49481)+E(f318(f318(f92(x49481),x49482),f179(x49481)),f179(x49481))
% 202.84/202.77 [4949]~P108(x49491)+E(f318(f318(f101(x49491),x49492),f233(x49491)),f233(x49491))
% 202.84/202.77 [4950]~P130(x49501)+E(f318(f318(f74(x49501),x49502),f2(x49501)),f2(x49501))
% 202.84/202.77 [4951]~P118(x49511)+E(f318(f318(f74(x49511),x49512),f2(x49511)),f2(x49511))
% 202.84/202.77 [4952]~P70(x49521)+E(f318(f318(f30(x49521),x49522),f2(x49521)),f2(x49521))
% 202.84/202.77 [4953]~P126(x49531)+E(f318(f318(f282(x49531),x49532),f2(x49531)),f2(x49531))
% 202.84/202.77 [4955]~P70(x49551)+E(f39(x49551,x49552,f71(x49551)),f2(x49551))
% 202.84/202.77 [4956]~P70(x49561)+E(f39(x49561,f2(x49561),x49562),f2(x49561))
% 202.84/202.77 [4985]E(x49851,f2(a920))+E(f49(x49852,x49851,f104(x49852)),f104(f921(x49852)))
% 202.84/202.77 [5008]P55(x50081,x50082)+~E(f318(f277(x50081,x50081),x50082),x50082)
% 202.84/202.77 [5009]P39(x50091,x50092)+~E(f587(x50092,x50091),f179(f927(x50091,a918)))
% 202.84/202.77 [5010]E(x50101,f104(x50102))+~E(f318(f163(x50102),x50101),f179(f927(x50102,a918)))
% 202.84/202.77 [5011]E(x50111,f104(x50112))+~E(f179(f927(x50112,a918)),f318(f163(x50112),x50111))
% 202.84/202.77 [5014]~E(x50141,x50142)+P1(f318(f318(a315,x50141),x50142))
% 202.84/202.77 [5024]P1(x50241)+P1(f318(f318(a321,x50241),x50242))
% 202.84/202.77 [5025]E(x50251,f104(x50252))+E(f318(f318(f155(x50252),x50251),f2(a920)),f318(f132(x50252),x50251))
% 202.84/202.77 [5028]E(f143(x50281,x50282),x50282)+~P1(f318(f128(x50281),x50282))
% 202.84/202.77 [5035]~P1(x50352)+P1(f318(f318(a321,x50351),x50352))
% 202.84/202.77 [5036]~P1(x50362)+P1(f318(f318(a317,x50361),x50362))
% 202.84/202.77 [5037]~P1(x50371)+P1(f318(f318(a317,x50371),x50372))
% 202.84/202.77 [5047]~E(f671(x50472,x50471),f675(x50472,x50471))+P1(f318(f128(x50471),x50472))
% 202.84/202.77 [5054]E(f318(f253(x50541),x50542),f179(f927(x50541,a918)))+P1(f318(x50542,f525(x50542)))
% 202.84/202.77 [5055]E(f179(f927(x50551,a918)),f318(f253(x50551),x50552))+P1(f318(x50552,f526(x50552)))
% 202.84/202.77 [5125]~P116(x51251)+E(f318(f318(f74(x51251),x51252),f75(x51251,x51252)),f318(f69(x51251),x51252))
% 202.84/202.77 [5136]~E(x51361,f2(a1))+E(f40(x51361,x51362),f318(f318(f243(a1,a1),f2(a1)),f2(a1)))
% 202.84/202.77 [5167]~P61(x51671,x51672)+P61(x51671,f318(f277(x51671,x51671),x51672))
% 202.84/202.77 [5168]~P40(x51681,x51682)+P40(x51681,f318(f277(x51681,x51681),x51682))
% 202.84/202.77 [5169]~P41(x51691,x51692)+P41(x51691,f318(f277(x51691,x51691),x51692))
% 202.84/202.77 [5170]~P55(x51701,x51702)+P55(x51701,f318(f277(x51701,x51701),x51702))
% 202.84/202.77 [5192]E(x51921,x51922)+~P1(f318(f318(a315,x51921),x51922))
% 202.84/202.77 [5203]P1(x52031)+~P1(f318(f318(a316,x52032),x52031))
% 202.84/202.77 [5204]P1(x52041)+~P1(f318(f318(a316,x52041),x52042))
% 202.84/202.77 [5209]~P114(x52091)+P1(f318(f318(f225(x52091),x52092),f233(x52091)))
% 202.84/202.77 [5210]~P118(x52101)+P1(f318(f318(f278(x52101),x52102),f2(x52101)))
% 202.84/202.77 [5214]E(x52141,x52142)+~E(f318(x52141,f339(x52142,x52141)),f318(x52142,f339(x52142,x52141)))
% 202.84/202.77 [5247]E(x52471,f2(a920))+E(f207(x52471,f39(a920,x52472,x52471)),f207(x52472,x52471))
% 202.84/202.77 [5252]~P4(x52521)+P13(x52521,f318(f318(f142(x52521),x52522),f104(x52521)))
% 202.84/202.77 [5256]E(x52561,f2(a1))+P1(f318(f43(x52562,x52561),f40(x52562,x52561)))
% 202.84/202.77 [5272]~P16(x52722,x52721)+P1(f318(f318(x52721,f804(x52721)),f804(x52721)))
% 202.84/202.77 [5275]~E(x52751,x52752)+P1(f318(f318(f226(a920),x52751),f318(a103,x52752)))
% 202.84/202.77 [5285]~E(x52851,f2(a920))+P1(f318(f318(f226(a920),x52851),f318(a103,x52852)))
% 202.84/202.77 [5298]P1(f318(x52981,x52982))+P1(f318(f318(f225(a1),f2(a1)),f326(x52981)))
% 202.84/202.77 [5362]P61(x53621,x53622)+~P61(x53621,f318(f277(x53621,x53621),x53622))
% 202.84/202.77 [5363]P40(x53631,x53632)+~P40(x53631,f318(f277(x53631,x53631),x53632))
% 202.84/202.77 [5364]P41(x53641,x53642)+~P41(x53641,f318(f277(x53641,x53641),x53642))
% 202.84/202.77 [5365]P55(x53651,x53652)+~P55(x53651,f318(f277(x53651,x53651),x53652))
% 202.84/202.77 [5368]~E(f39(a920,x53682,x53681),f2(a920))+E(f318(f318(f74(a920),x53681),f343(x53681,x53682)),x53682)
% 202.84/202.77 [5369]~E(f39(a1,x53692,x53691),f2(a1))+E(f318(f318(f74(a1),x53691),f341(x53691,x53692)),x53692)
% 202.84/202.77 [5395]~P1(f318(x53951,x53952))+P1(f318(f318(f225(a1),f2(a1)),f325(x53951)))
% 202.84/202.77 [5406]E(f318(f318(f3(a920),f318(a95,x54061)),f318(a95,x54062)),f318(a95,x54061))+~P1(f318(a184,x54062))
% 202.84/202.77 [5429]E(f263(x54291,x54292),f71(a90))+~P1(f318(f318(f225(a90),x54291),f71(a90)))
% 202.84/202.77 [5526]E(f318(f318(f155(x55261),x55262),f671(x55262,x55261)),f318(f318(f155(x55261),x55262),f675(x55262,x55261)))+P1(f318(f128(x55261),x55262))
% 202.84/202.77 [5569]~P1(f318(x55691,f83(x55692,x55691)))+P1(f318(x55691,f598(x55692,x55691)))
% 202.84/202.77 [5633]P63(x56331,x56332)+~P1(f318(f306(x56331,x56332),f552(x56332,x56331)))
% 202.84/202.77 [5777]~P16(x57772,x57771)+P1(f318(f318(x57771,f805(x57771,x57772)),f805(x57771,x57772)))
% 202.84/202.77 [5778]~P16(x57782,x57781)+P1(f318(f318(x57781,f808(x57781,x57782)),f808(x57781,x57782)))
% 202.84/202.77 [5787]~E(f318(a103,f39(a920,x57871,x57872)),x57872)+E(f39(a920,f318(a103,x57871),x57872),f2(a920))
% 202.84/202.77 [5843]P39(x58431,x58432)+P1(f318(f318(f320(x58431),f601(x58432,x58431)),f602(x58432,x58431)))
% 202.84/202.77 [5850]~P146(x58501)+P1(f318(f318(f320(x58501),f318(f91(x58501),x58502)),f100(x58501)))
% 202.84/202.77 [5851]~P115(x58511)+P1(f318(f318(f320(x58511),f318(f91(x58511),x58512)),f177(x58511)))
% 202.84/202.77 [5852]~P146(x58521)+P1(f318(f318(f320(x58521),f318(f93(x58521),x58522)),f100(x58521)))
% 202.84/202.77 [5853]~P100(x58531)+P1(f318(f318(f320(x58531),f318(f94(x58531),x58532)),f100(x58531)))
% 202.84/202.77 [5987]~P40(x59871,x59872)+E(f318(f318(f280(x59871,x59871,x59871),x59872),f298(x59871,x59872)),x59872)
% 202.84/202.77 [6002]E(f318(a103,f39(a920,x60021,x60022)),x60022)+E(f39(a920,f318(a103,x60021),x60022),f318(a103,f39(a920,x60021,x60022)))
% 202.84/202.77 [6434]P39(x64341,x64342)+~P1(f318(f318(f320(x64341),f553(x64342,x64341)),f307(x64341,x64342)))
% 202.84/202.77 [6472]~P135(x64721)+~P1(f318(f318(f226(x64721),f318(f91(x64721),x64722)),f2(x64721)))
% 202.84/202.77 [6473]~P93(x64731)+~P1(f318(f318(f226(x64731),f318(f69(x64731),x64732)),f2(x64731)))
% 202.84/202.77 [6564]P1(f318(f318(f226(a1),x65641),f39(a1,x65642,x65641)))+~P1(f318(f318(f226(a1),x65641),f2(a1)))
% 202.84/202.77 [6666]E(f318(f318(f300(a920),f318(a103,x66661)),f294(a920,x66662,x66661)),f294(a920,x66662,f318(a103,x66661)))+~P1(f318(f318(f225(a920),x66662),f318(a103,x66661)))
% 202.84/202.77 [6756]~P4(x67561)+P13(x67561,f141(x67561,x67561,f7(x67561),x67562))
% 202.84/202.77 [6892]E(f318(f158(x68921),x68922),x68922)+~P1(f318(f318(f225(a920),f318(f180(f921(x68921)),x68922)),f71(a920)))
% 202.84/202.77 [6913]~P93(x69131)+P1(f318(f318(f225(x69131),f318(f72(x69131),f318(f69(x69131),x69132))),f2(x69131)))
% 202.84/202.77 [6946]~P39(x69461,x69462)+P39(x69461,f318(f318(f280(x69461,x69461,x69461),x69462),f298(x69461,x69462)))
% 202.84/202.77 [6947]~P55(x69471,x69472)+P55(x69471,f318(f318(f280(x69471,x69471,x69471),x69472),f298(x69471,x69472)))
% 202.84/202.77 [7173]~P1(f318(f318(f226(a1),x71732),f2(a1)))+P1(f318(f318(f225(a1),f39(a1,x71731,x71732)),f2(a1)))
% 202.84/202.77 [7577]~P115(x75771)+E(f181(x75771,f318(f318(f9(x75771,x75771,x75771),f73(x75771)),f71(x75771)),x75772,f2(x75771)),f318(f91(x75771),x75772))
% 202.84/202.77 [7604]~P132(x76041)+~P1(f318(f318(f226(x76041),f318(f318(f74(x76041),x76042),x76042)),f2(x76041)))
% 202.84/202.77 [10258]~P116(x102581)+~P1(f318(f318(f226(x102581),f318(f318(f235(x102581),x102582),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88))))),f2(x102581)))
% 202.84/202.77 [4819]~E(x48192,f104(x48191))+E(f318(f180(f921(x48191)),x48192),f2(a920))
% 202.84/202.77 [4851]~E(x48511,f2(a920))+E(f318(f318(f73(a920),x48511),x48512),x48512)
% 202.84/202.77 [4852]~E(x48522,f2(a920))+E(f318(f318(f74(a920),x48521),x48522),f2(a920))
% 202.84/202.77 [4854]~E(x48541,f2(a920))+E(f318(f318(f74(a920),x48541),x48542),f2(a920))
% 202.84/202.77 [4855]~E(x48552,f2(a1))+E(f318(f318(f30(a1),x48551),x48552),f2(a1))
% 202.84/202.77 [4856]~E(x48562,f2(a920))+E(f318(f318(f235(a920),x48561),x48562),f71(a920))
% 202.84/202.77 [4867]E(x48671,f104(x48672))+~E(f318(f180(f921(x48672)),x48671),f2(a920))
% 202.84/202.77 [4869]~P103(x48691)+E(f318(f318(f92(x48691),x48692),x48692),x48692)
% 202.84/202.77 [4870]~P104(x48701)+E(f318(f318(f92(x48701),x48702),x48702),x48702)
% 202.84/202.77 [4872]~P109(x48721)+E(f318(f318(f101(x48721),x48722),x48722),x48722)
% 202.84/202.77 [4873]~P104(x48731)+E(f318(f318(f101(x48731),x48732),x48732),x48732)
% 202.84/202.77 [4875]~P102(x48751)+E(f318(f318(f74(x48751),x48752),x48752),x48752)
% 202.84/202.77 [4877]~P4(x48771)+E(f318(f318(f223(x48771),x48772),x48772),x48772)
% 202.84/202.77 [4879]~P4(x48791)+E(f318(f318(f224(x48791),x48792),x48792),x48792)
% 202.84/202.77 [4897]~P68(x48971)+E(f318(f318(f3(x48971),x48972),x48972),f2(x48971))
% 202.84/202.77 [4911]~P65(x49111)+E(f318(f72(x49111),f318(f72(x49111),x49112)),x49112)
% 202.84/202.77 [4912]~P68(x49121)+E(f318(f72(x49121),f318(f72(x49121),x49122)),x49122)
% 202.84/202.77 [4929]~E(x49292,f2(a920))+E(f318(f318(f235(a920),x49291),x49292),f318(a103,f2(a920)))
% 202.84/202.77 [4964]~P108(x49641)+E(f318(f318(f92(x49641),f233(x49641)),x49642),x49642)
% 202.84/202.77 [4965]~P105(x49651)+E(f318(f318(f101(x49651),f179(x49651)),x49652),x49652)
% 202.84/202.77 [4966]~P118(x49661)+E(f318(f318(f74(x49661),f71(x49661)),x49662),x49662)
% 202.84/202.77 [4967]~P84(x49671)+E(f318(f318(f74(x49671),f71(x49671)),x49672),x49672)
% 202.84/202.77 [4968]~P90(x49681)+E(f318(f318(f74(x49681),f71(x49681)),x49682),x49682)
% 202.84/202.77 [4969]~P118(x49691)+E(f318(f318(f73(x49691),f2(x49691)),x49692),x49692)
% 202.84/202.77 [4970]~P83(x49701)+E(f318(f318(f73(x49701),f2(x49701)),x49702),x49702)
% 202.84/202.77 [4971]~P89(x49711)+E(f318(f318(f73(x49711),f2(x49711)),x49712),x49712)
% 202.84/202.77 [4989]~P105(x49891)+E(f318(f318(f92(x49891),f179(x49891)),x49892),f179(x49891))
% 202.84/202.77 [4990]~P108(x49901)+E(f318(f318(f101(x49901),f233(x49901)),x49902),f233(x49901))
% 202.84/202.77 [4991]~P130(x49911)+E(f318(f318(f74(x49911),f2(x49911)),x49912),f2(x49911))
% 202.84/202.77 [4992]~P118(x49921)+E(f318(f318(f74(x49921),f2(x49921)),x49922),f2(x49921))
% 202.84/202.77 [4993]~P70(x49931)+E(f318(f318(f30(x49931),f2(x49931)),x49932),f2(x49931))
% 202.84/202.77 [4994]~P90(x49941)+E(f318(f318(f235(x49941),f71(x49941)),x49942),f71(x49941))
% 202.84/202.77 [4995]~P125(x49951)+E(f318(f318(f282(x49951),f2(x49951)),x49952),f2(x49951))
% 202.84/202.77 [5003]E(x50031,f104(x50032))+E(f135(x50032,f318(f159(x50032),x50031)),f318(f132(x50032),x50031))
% 202.84/202.77 [5004]E(x50041,f104(x50042))+E(f318(f132(x50042),f318(f159(x50042),x50041)),f135(x50042,x50041))
% 202.84/202.77 [5005]E(x50051,f2(a920))+~E(f318(f318(f73(a920),x50052),x50051),x50052)
% 202.84/202.77 [5012]~P146(x50121)+E(f318(f93(x50121),f318(f91(a1),x50122)),f318(f91(x50121),x50122))
% 202.84/202.77 [5013]~P100(x50131)+E(f318(f93(x50131),f318(f94(a1),x50132)),f318(f94(x50131),x50132))
% 202.84/202.77 [5020]E(x50201,f2(a920))+~E(f318(f318(f73(a920),x50202),x50201),f2(a920))
% 202.84/202.77 [5021]E(x50211,f2(a920))+~E(f318(f318(f73(a920),x50211),x50212),f2(a920))
% 202.84/202.77 [5022]E(x50221,f71(a920))+~E(f318(f318(f74(a920),x50222),x50221),f71(a920))
% 202.84/202.77 [5023]E(x50231,f71(a920))+~E(f318(f318(f74(a920),x50231),x50232),f71(a920))
% 202.84/202.77 [5040]~P93(x50401)+E(f318(f69(x50401),f318(f72(x50401),x50402)),f318(f69(x50401),x50402))
% 202.84/202.77 [5041]~P116(x50411)+E(f318(f69(x50411),f318(f91(x50411),x50412)),f318(f91(x50411),x50412))
% 202.84/202.77 [5042]~P93(x50421)+E(f318(f69(x50421),f318(f69(x50421),x50422)),f318(f69(x50421),x50422))
% 202.84/202.77 [5043]~P83(x50431)+E(f318(f156(x50431),f318(f159(x50431),x50432)),f318(f156(x50431),x50432))
% 202.84/202.77 [5048]~E(x50481,f318(a103,f2(a920)))+E(f318(f318(f235(a920),x50481),x50482),f318(a103,f2(a920)))
% 202.84/202.77 [5057]~P68(x50571)+E(f318(f318(f3(x50571),f2(x50571)),x50572),f318(f72(x50571),x50572))
% 202.84/202.77 [5058]~E(x50582,f2(a920))+E(f130(a920,f318(f293(a920,x50581),x50582)),f104(a920))
% 202.84/202.77 [5067]~P100(x50671)+E(f318(f318(f73(x50671),x50672),f318(f94(x50671),a76)),x50672)
% 202.84/202.77 [5068]E(x50681,f2(a1))+E(f41(f318(f69(a1),x50682),f318(f69(a1),x50681)),f47(x50682,x50681))
% 202.84/202.77 [5084]~E(x50841,x50842)+P1(f318(f318(f225(a920),x50841),x50842))
% 202.84/202.77 [5091]~E(x50911,f2(a90))+E(f318(f318(f73(a920),f318(a22,x50911)),x50912),x50912)
% 202.84/202.77 [5092]~E(f318(f94(a1),x50922),f318(f91(a1),x50921))+E(x50921,f318(a95,f318(f94(a1),x50922)))
% 202.84/202.77 [5093]~P5(x50931)+E(f86(x50931,f318(f18(x50931,x50931),x50932)),x50932)
% 202.84/202.77 [5106]~P6(x51061)+P6(f318(f318(f235(a1),x51061),x51062))
% 202.84/202.77 [5107]~P65(x51071)+E(f318(f318(f92(x51071),x51072),f318(f72(x51071),x51072)),f179(x51071))
% 202.84/202.77 [5108]~P65(x51081)+E(f318(f318(f101(x51081),x51082),f318(f72(x51081),x51082)),f233(x51081))
% 202.84/202.77 [5109]~P68(x51091)+E(f318(f318(f73(x51091),x51092),f318(f72(x51091),x51092)),f2(x51091))
% 202.84/202.77 [5133]E(x51331,f2(a920))+~E(f318(f72(a1),f318(f91(a1),x51332)),f318(f91(a1),x51331))
% 202.84/202.77 [5134]E(x51341,f2(a920))+~E(f318(f72(a1),f318(f91(a1),x51341)),f318(f91(a1),x51342))
% 202.84/202.77 [5144]E(f185(x51441,x51442),f2(a1))+P1(f318(f318(f225(a1),x51442),x51441))
% 202.84/202.77 [5145]E(f169(x51451,x51452),f104(a1))+P1(f318(f318(f225(a1),x51451),x51452))
% 202.84/202.77 [5146]E(f232(x51461,x51462),f2(a90))+P1(f318(f318(f226(a90),x51461),x51462))
% 202.84/202.77 [5159]E(x51591,f318(a103,f2(a920)))+~E(f318(f318(f74(a920),x51592),x51591),f318(a103,f2(a920)))
% 202.84/202.77 [5160]E(x51601,f318(a103,f2(a920)))+~E(f318(f318(f74(a920),x51601),x51602),f318(a103,f2(a920)))
% 202.84/202.77 [5161]~P2(x51611)+P1(f318(f318(f225(x51611),x51612),x51612))
% 202.84/202.77 [5164]~P100(x51641)+E(f318(f318(f74(x51641),x51642),f318(f94(x51641),a88)),f318(f72(x51641),x51642))
% 202.84/202.77 [5184]~P146(x51841)+E(f318(f72(x51841),f318(f93(x51841),x51842)),f318(f93(x51841),f318(f72(a1),x51842)))
% 202.84/202.77 [5185]~P100(x51851)+E(f318(f72(x51851),f318(f94(x51851),x51852)),f318(f94(x51851),f318(f72(a1),x51852)))
% 202.84/202.77 [5215]~E(x52151,f318(a103,x52152))+P1(f318(f318(f226(a920),f2(a920)),x52151))
% 202.84/202.77 [5233]~P4(x52331)+E(f318(f72(f927(x52331,a918)),f318(f295(x52331),x52332)),f318(f292(x52331),x52332))
% 202.84/202.77 [5234]~P4(x52341)+E(f318(f72(f927(x52341,a918)),f318(f273(x52341),x52342)),f318(f274(x52341),x52342))
% 202.84/202.77 [5235]~P4(x52351)+E(f318(f72(f927(x52351,a918)),f318(f274(x52351),x52352)),f318(f273(x52351),x52352))
% 202.84/202.77 [5236]~P4(x52361)+E(f318(f72(f927(x52361,a918)),f318(f292(x52361),x52362)),f318(f295(x52361),x52362))
% 202.84/202.77 [5246]~E(f318(f91(a1),x52462),x52461)+P1(f318(f318(f225(a1),f2(a1)),x52461))
% 202.84/202.77 [5255]~E(x52552,f2(a1))+E(f47(x52551,x52552),f318(f318(f243(a1,a1),f2(a1)),f318(f69(a1),x52551)))
% 202.84/202.77 [5257]~P64(x52571)+P1(f318(f318(f225(x52571),f179(x52571)),x52572))
% 202.84/202.77 [5290]E(x52901,x52902)+~E(f318(f318(f73(a1),x52901),x52901),f318(f318(f73(a1),x52902),x52902))
% 202.84/202.77 [5297]~P1(f318(x52971,x52972))+P1(f318(x52971,f318(a95,f325(x52971))))
% 202.84/202.77 [5323]~P116(x53231)+E(f318(f318(f74(x53231),f75(x53231,x53232)),f318(f69(x53231),x53232)),x53232)
% 202.84/202.77 [5330]~E(x53302,f2(a920))+E(f78(f926(a920,a920),f42(x53301,x53302)),f318(f318(f243(a920,a920),f2(a920)),x53301))
% 202.84/202.77 [5335]~E(x53351,x53352)+~P1(f318(f318(f226(a920),x53351),x53352))
% 202.84/202.77 [5336]~E(x53361,x53362)+~P1(f318(f318(f226(a1),x53361),x53362))
% 202.84/202.77 [5339]~P115(x53391)+E(f318(f318(f73(x53391),f71(x53391)),f318(f91(x53391),x53392)),f318(f91(x53391),f318(a103,x53392)))
% 202.84/202.77 [5343]~E(x53431,f2(a920))+~P1(f318(f318(f226(a920),x53432),x53431))
% 202.84/202.77 [5358]E(f143(x53581,x53582),x53582)+~E(f318(f180(f921(x53581)),f143(x53581,x53582)),f318(f180(f921(x53581)),x53582))
% 202.84/202.77 [5359]E(f318(f29(x53591),f318(f163(x53591),x53592)),f318(f180(f921(x53591)),x53592))+~P1(f318(f128(x53591),x53592))
% 202.84/202.77 [5373]~P1(f318(x53731,f862(x53731)))+P1(f318(x53731,f318(f91(a1),x53732)))
% 202.84/202.77 [5383]E(f232(x53831,x53832),x53832)+~P1(f318(f318(f226(a90),x53831),x53832))
% 202.84/202.77 [5385]E(f263(x53851,x53852),f71(a90))+~P1(f318(f318(f226(a90),x53852),x53851))
% 202.84/202.77 [5386]E(f169(x53861,x53862),f104(a1))+~P1(f318(f318(f226(a1),x53862),x53861))
% 202.84/202.77 [5387]E(f119(x53871,x53872),f106(a1))+~P1(f318(f318(f226(a1),x53871),x53872))
% 202.84/202.77 [5389]~P113(x53891)+E(f294(x53891,x53892,x53892),f318(f318(f300(x53891),x53892),f179(f927(x53891,a918))))
% 202.84/202.77 [5409]~E(f318(f318(f3(a920),x54091),x54092),f2(a920))+P1(f318(f318(f225(a920),x54091),x54092))
% 202.84/202.77 [5426]~E(x54262,f2(a920))+E(f49(x54261,x54262,f104(x54261)),f318(f318(f142(f921(x54261)),f104(x54261)),f104(f921(x54261))))
% 202.84/202.77 [5430]~P2(x54301)+~P1(f318(f318(f226(x54301),x54302),x54302))
% 202.84/202.77 [5432]~E(f39(a1,x54321,x54322),f2(a1))+E(f39(a1,x54321,f318(f72(a1),x54322)),f2(a1))
% 202.84/202.77 [5434]~E(f39(a1,x54341,x54342),f2(a1))+E(f39(a1,f318(f72(a1),x54341),x54342),f2(a1))
% 202.84/202.77 [5442]E(f318(f293(a920,x54421),f318(a103,x54422)),f179(f927(a920,a918)))+P1(f318(f318(f225(a920),x54421),x54422))
% 202.84/202.77 [5466]E(f130(a920,f318(f293(a920,x54661),x54662)),f104(a920))+P1(f318(f318(f226(a920),x54661),x54662))
% 202.84/202.77 [5471]~E(f318(f29(x54711),f318(f163(x54711),x54712)),f318(f180(f921(x54711)),x54712))+P1(f318(f128(x54711),x54712))
% 202.84/202.77 [5475]~P1(f318(f128(x54751),x54752))+P1(f318(f128(x54751),f318(f158(x54751),x54752)))
% 202.84/202.77 [5476]~P1(f318(f128(x54761),x54762))+P1(f318(f128(x54761),f318(f162(x54761),x54762)))
% 202.84/202.77 [5477]~P1(f318(f128(x54771),x54772))+P1(f318(f128(x54771),f318(f159(x54771),x54772)))
% 202.84/202.77 [5485]P1(f318(x54851,x54852))+~P1(f318(x54851,f318(a95,f326(x54851))))
% 202.84/202.77 [5486]P1(f318(f318(f225(a920),x54862),x54861))+P1(f318(f318(f225(a920),x54861),x54862))
% 202.84/202.77 [5487]P1(f318(f318(f225(a1),x54872),x54871))+P1(f318(f318(f225(a1),x54871),x54872))
% 202.84/202.77 [5491]~P93(x54911)+P1(f318(f318(f225(x54911),x54912),f318(f69(x54911),x54912)))
% 202.84/202.77 [5494]P1(f318(x54941,f863(x54941)))+~P1(f318(x54941,f318(f91(a1),x54942)))
% 202.84/202.77 [5518]E(f318(f318(f3(a920),x55181),x55182),f2(a920))+~P1(f318(f318(f225(a920),x55181),x55182))
% 202.84/202.77 [5519]E(f318(f318(f30(a920),x55191),x55192),f2(a920))+~P1(f318(f318(f226(a920),x55191),x55192))
% 202.84/202.77 [5538]E(f39(a920,x55381,x55382),x55381)+~P1(f318(f318(f226(a920),x55381),x55382))
% 202.84/202.77 [5546]E(f39(a1,x55461,f318(f72(a1),x55462)),f283(x55461,x55462))+P1(f318(f318(f225(a1),f2(a1)),x55462))
% 202.84/202.77 [5558]E(f318(f318(f3(a1),x55581),x55582),f185(x55581,x55582))+~P1(f318(f318(f225(a1),x55582),x55581))
% 202.84/202.77 [5578]P1(f318(f318(f225(a1),f2(a1)),f862(x55781)))+P1(f318(x55781,f318(f91(a1),x55782)))
% 202.84/202.77 [5591]~P135(x55911)+P1(f318(f318(f225(x55911),f2(x55911)),f318(f91(x55911),x55912)))
% 202.84/202.77 [5592]~P93(x55921)+P1(f318(f318(f225(x55921),f2(x55921)),f318(f69(x55921),x55922)))
% 202.84/202.77 [5619]E(f318(f318(f73(a920),x56191),f864(x56192,x56191)),x56192)+~P1(f318(f318(f225(a920),x56191),x56192))
% 202.84/202.77 [5631]~E(f318(f94(a1),x56311),f318(f91(a1),x56312))+P1(f318(f318(f225(a1),f2(a1)),f318(f94(a1),x56311)))
% 202.84/202.77 [5634]E(f294(a1,x56341,x56342),f179(f927(a1,a918)))+~P1(f318(f318(f226(a1),x56342),x56341))
% 202.84/202.77 [5637]~P116(x56371)+E(f318(f318(f74(x56371),f318(f69(x56371),x56372)),f318(f69(x56371),x56372)),f318(f318(f74(x56371),x56372),x56372))
% 202.84/202.77 [5642]E(f130(a920,f318(f293(a920,x56421),f318(a103,x56422))),f104(a920))+P1(f318(f318(f225(a920),x56421),x56422))
% 202.84/202.77 [5646]E(f318(f318(f30(a1),x56461),x56462),f284(x56461,x56462))+~P1(f318(f318(f225(a1),f2(a1)),x56462))
% 202.84/202.77 [5666]P1(f318(f128(x56661),x56662))+~P1(f318(f128(x56661),f318(f158(x56661),x56662)))
% 202.84/202.77 [5667]P1(f318(f128(x56671),x56672))+~P1(f318(f128(x56671),f318(f159(x56671),x56672)))
% 202.84/202.77 [5692]P1(f318(f55(a920),x56921))+P1(f318(f318(f320(a920),f344(x56921,x56922)),x56921))
% 202.84/202.77 [5693]P1(f318(f55(a920),x56931))+P1(f318(f318(f320(a920),f347(x56931,x56932)),x56931))
% 202.84/202.77 [5696]P1(f318(f318(f226(a920),x56962),f318(a103,x56961)))+P1(f318(f318(f226(a920),x56961),x56962))
% 202.84/202.77 [5697]E(f39(a1,x56971,x56972),f283(x56971,x56972))+~P1(f318(f318(f225(a1),f2(a1)),x56972))
% 202.84/202.77 [5700]E(f130(a920,f318(f293(a920,x57001),x57002)),f104(a920))+~P1(f318(f318(f225(a920),x57002),x57001))
% 202.84/202.77 [5701]~P67(x57011)+E(f318(f301(x57011,x57011,f72(x57011)),f318(f295(x57011),x57012)),f318(f273(x57011),f318(f72(x57011),x57012)))
% 202.84/202.77 [5702]~P67(x57021)+E(f318(f301(x57021,x57021,f72(x57021)),f318(f273(x57021),x57022)),f318(f295(x57021),f318(f72(x57021),x57022)))
% 202.84/202.77 [5703]~P67(x57031)+E(f318(f301(x57031,x57031,f72(x57031)),f318(f274(x57031),x57032)),f318(f292(x57031),f318(f72(x57031),x57032)))
% 202.84/202.77 [5704]~P67(x57041)+E(f318(f301(x57041,x57041,f72(x57041)),f318(f292(x57041),x57042)),f318(f274(x57041),f318(f72(x57041),x57042)))
% 202.84/202.77 [5715]E(x57151,f179(f927(x57152,a918)))+P1(f318(f318(f320(x57152),f435(x57151,x57152)),x57151))
% 202.84/202.77 [5716]E(x57161,f179(f927(x57162,a918)))+P1(f318(f318(f320(x57162),f490(x57161,x57162)),x57161))
% 202.84/202.77 [5727]~P1(f318(f318(f226(a920),x57271),x57272))+P1(f318(f318(f225(a920),x57271),x57272))
% 202.84/202.77 [5728]~P1(f318(f318(f226(a1),x57281),x57282))+P1(f318(f318(f225(a1),x57281),x57282))
% 202.84/202.77 [5744]E(f41(x57441,x57442),f318(f318(f243(a1,a1),f2(a1)),x57441))+~P1(f318(f318(f226(a1),x57441),x57442))
% 202.84/202.77 [5746]E(f206(f318(f72(a1),x57461),f318(f72(a1),x57462)),f206(x57461,x57462))+~P1(f318(f318(f226(a1),x57462),f2(a1)))
% 202.84/202.77 [5759]E(x57591,x57592)+~E(f318(a5,f318(a103,f318(a22,x57591))),f318(a5,f318(a103,f318(a22,x57592))))
% 202.84/202.77 [5764]E(f41(x57641,x57642),f318(f318(f243(a1,a1),f2(a1)),x57641))+~P1(f318(f318(f225(a1),x57642),f2(a1)))
% 202.84/202.77 [5793]E(f39(a920,f318(f94(a920),x57931),f318(f94(a920),x57932)),f2(a920))+~P1(f318(a184,f318(f94(a1),x57931)))
% 202.84/202.77 [5808]P1(f318(f318(f225(a1),f2(a1)),f863(x58081)))+~P1(f318(x58081,f318(f91(a1),x58082)))
% 202.84/202.77 [5841]P43(f294(a1,x58411,x58412))+~P1(f318(f318(f225(a1),f2(a1)),x58411))
% 202.84/202.77 [5846]~P1(f318(f55(x58461),x58462))+P1(f318(f55(f927(x58461,a918)),f318(f299(x58461),x58462)))
% 202.84/202.77 [5859]E(f318(f318(f73(a1),x58591),f318(f91(a1),f881(x58592,x58591))),x58592)+~P1(f318(f318(f225(a1),x58591),x58592))
% 202.84/202.77 [5867]P1(f318(f318(f225(a920),x58671),x58672))+P1(f318(f318(f225(a920),f318(a103,x58672)),x58671))
% 202.84/202.77 [5911]E(f318(f318(f30(a920),f318(f94(a920),x59111)),f318(f94(a920),x59112)),f2(a920))+~P1(f318(a184,f318(f94(a1),x59111)))
% 202.84/202.77 [5912]E(f318(f318(f74(a920),f318(f94(a920),x59121)),f318(f94(a920),x59122)),f2(a920))+~P1(f318(f318(f226(a1),x59121),a76))
% 202.84/202.77 [5914]P1(f318(f318(f225(a920),x59141),f318(a103,x59142)))+~P1(f318(f318(f225(a920),x59141),x59142))
% 202.84/202.77 [5916]P1(f318(f318(f226(a920),x59161),f318(a103,x59162)))+~P1(f318(f318(f225(a920),x59161),x59162))
% 202.84/202.77 [5918]P1(f318(f318(f226(a920),x59181),f318(a103,x59182)))+~P1(f318(f318(f226(a920),x59181),x59182))
% 202.84/202.77 [5921]~E(x59211,x59212)+P1(f318(f318(f226(a1),x59211),f318(f318(f73(a1),x59212),f71(a1))))
% 202.84/202.77 [5924]E(f39(a1,x59241,x59242),f2(a1))+E(f318(f318(f3(a1),x59242),f39(a1,x59241,x59242)),f39(a1,f318(f72(a1),x59241),x59242))
% 202.84/202.77 [5933]E(x59331,f104(x59332))+P1(f318(f318(f320(x59332),f135(x59332,x59331)),f318(f163(x59332),x59331)))
% 202.84/202.77 [5945]E(f78(f926(a920,a920),f42(x59451,x59452)),f318(f318(f243(a920,a920),f2(a920)),x59451))+~P1(f318(f318(f226(a920),x59451),x59452))
% 202.84/202.77 [5980]E(f318(f318(f3(a920),f318(f94(a920),x59801)),f318(f94(a920),x59802)),f318(f94(a920),x59801))+~P1(f318(f318(f226(a1),x59802),a76))
% 202.84/202.77 [5981]E(f318(f318(f73(a920),f318(f94(a920),x59811)),f318(f94(a920),x59812)),f318(f94(a920),x59812))+~P1(f318(f318(f226(a1),x59811),a76))
% 202.84/202.77 [5988]E(f318(a103,f318(f318(f73(a920),x59881),f883(x59882,x59881))),x59882)+~P1(f318(f318(f226(a920),x59881),x59882))
% 202.84/202.77 [6008]E(f318(a103,f336(x60081)),x60081)+~P1(f318(f318(f225(a920),f318(a103,x60082)),x60081))
% 202.84/202.77 [6014]P1(f318(x60141,x60142))+~P1(f318(x60141,f318(a82,f583(x60142,x60141))))
% 202.84/202.77 [6015]P1(f318(x60151,x60152))+~P1(f318(x60151,f318(a5,f820(x60152,x60151))))
% 202.84/202.77 [6024]~P1(f318(f318(f226(a920),x60241),f318(a103,x60242)))+P1(f318(f318(f225(a920),x60241),x60242))
% 202.84/202.77 [6074]E(f318(f318(f300(a920),x60741),f318(f293(a920,x60742),x60741)),f318(f293(a920,x60742),f318(a103,x60741)))+~P1(f318(f318(f225(a920),x60742),x60741))
% 202.84/202.77 [6076]E(x60761,f104(x60762))+E(f318(f318(f125(x60762),f105(x60762,x60761)),f318(f318(f142(x60762),f135(x60762,x60761)),f104(x60762))),x60761)
% 202.84/202.77 [6093]P1(f318(f55(x60931),x60932))+~P1(f318(f318(f226(a920),f2(a920)),f318(f29(x60931),x60932)))
% 202.84/202.77 [6097]~E(x60971,f179(f927(x60972,a918)))+~P1(f318(f318(f226(a920),f2(a920)),f318(f29(x60972),x60971)))
% 202.84/202.77 [6109]~P1(f318(f318(f226(a920),x61091),x61092))+P1(f318(f318(f225(a920),f318(a103,x61091)),x61092))
% 202.84/202.77 [6113]~P4(x61131)+E(f141(x61131,x61131,f7(x61131),f143(x61131,x61132)),f130(x61131,f318(f163(x61131),x61132)))
% 202.84/202.77 [6116]E(x61161,f104(x61162))+P1(f318(f318(f320(x61162),f318(f132(x61162),x61161)),f318(f163(x61162),x61161)))
% 202.84/202.77 [6122]~P135(x61221)+P1(f318(f318(f226(x61221),x61222),f318(f318(f73(x61221),x61222),f71(x61221))))
% 202.84/202.77 [6124]~P93(x61241)+P1(f318(f318(f225(x61241),f318(f72(x61241),x61242)),f318(f69(x61241),x61242)))
% 202.84/202.77 [6138]~E(x61381,x61382)+E(f281(a920,f278(a920),x61381,x61382),f318(f318(f300(a920),x61381),f179(f927(a920,a918))))
% 202.84/202.77 [6158]P1(f318(f55(a920),x61581))+~P1(f318(f318(f225(a920),f347(x61581,x61582)),x61582))
% 202.84/202.77 [6159]P1(f318(f55(a920),x61591))+~P1(f318(f318(f226(a920),f344(x61591,x61592)),x61592))
% 202.84/202.77 [6164]~P1(f318(f55(f926(x61641,x61641)),x61642))+P1(f318(f55(x61641),f318(f272(x61641),x61642)))
% 202.84/202.77 [6219]E(f281(a920,f278(a920),x62191,x62192),f179(f927(a920,a918)))+P1(f318(f318(f278(a920),x62191),x62192))
% 202.84/202.77 [6222]~P1(f318(f318(f226(a920),x62222),f318(a103,x62221)))+~P1(f318(f318(f226(a920),x62221),x62222))
% 202.84/202.77 [6223]~P113(x62231)+E(f318(f318(f92(f927(x62231,a918)),f318(f292(x62231),x62232)),f318(f274(x62231),x62232)),f318(f318(f300(x62231),x62232),f179(f927(x62231,a918))))
% 202.84/202.77 [6235]P1(f318(f55(x62351),x62352))+~P1(f318(f55(f927(x62351,a918)),f318(f299(x62351),x62352)))
% 202.84/202.77 [6258]P1(f318(f318(f225(a920),f318(a103,x62581)),f318(a103,x62582)))+~P1(f318(f318(f225(a920),x62581),x62582))
% 202.84/202.77 [6259]P1(f318(f318(f225(a920),f318(a22,x62591)),f318(a22,x62592)))+~P1(f318(f318(f225(a90),x62591),x62592))
% 202.84/202.77 [6260]P1(f318(f318(f225(a90),f318(a5,x62601)),f318(a5,x62602)))+~P1(f318(f318(f225(a920),x62601),x62602))
% 202.84/202.77 [6262]P1(f318(f318(f226(a920),f318(a103,x62621)),f318(a103,x62622)))+~P1(f318(f318(f226(a920),x62621),x62622))
% 202.84/202.77 [6263]P1(f318(f318(f226(a920),f318(a22,x62631)),f318(a22,x62632)))+~P1(f318(f318(f226(a90),x62631),x62632))
% 202.84/202.77 [6264]P1(f318(f318(f226(a90),f318(a5,x62641)),f318(a5,x62642)))+~P1(f318(f318(f226(a920),x62641),x62642))
% 202.84/202.77 [6269]E(x62691,x62692)+~E(f318(f301(a920,a1,f91(a1)),x62691),f318(f301(a920,a1,f91(a1)),x62692))
% 202.84/202.77 [6285]P1(f318(f318(f225(a920),x62851),x62852))+~P1(f318(f318(f225(a920),f318(a103,x62851)),x62852))
% 202.84/202.77 [6288]P1(f318(f318(f226(a920),x62881),x62882))+~P1(f318(f318(f225(a920),f318(a103,x62881)),x62882))
% 202.84/202.77 [6289]P1(f318(f318(f226(a920),x62891),x62892))+~P1(f318(f318(f226(a920),f318(a103,x62891)),x62892))
% 202.84/202.77 [6307]E(f39(a1,x63071,x63072),f2(a1))+E(f318(f318(f3(a1),f39(a1,x63071,x63072)),x63072),f39(a1,x63071,f318(f72(a1),x63072)))
% 202.84/202.77 [6375]E(f318(f29(f927(x63751,a918)),f318(f299(x63751),x63752)),f318(f318(f235(a920),f318(a103,f318(a103,f2(a920)))),f318(f29(x63751),x63752)))+~P1(f318(f55(x63751),x63752))
% 202.84/202.77 [6378]E(x63781,f104(x63782))+E(f318(f318(f155(x63782),x63781),f318(f318(f3(a920),f318(f180(f921(x63782)),x63781)),f71(a920))),f135(x63782,x63781))
% 202.84/202.77 [6400]E(x64001,f104(x64002))+E(f318(f318(f125(x64002),f318(f162(x64002),x64001)),f318(f318(f142(x64002),f318(f132(x64002),x64001)),f104(x64002))),f318(f158(x64002),x64001))
% 202.84/202.77 [6431]~P1(f318(f55(x64311),f31(f927(x64311,a918),x64312)))+P1(f318(f55(f927(x64311,a918)),x64312))
% 202.84/202.77 [6453]P1(f318(f318(f225(a920),f318(f94(a920),x64531)),f318(f94(a920),x64532)))+~P1(f318(f318(f225(a1),x64531),a76))
% 202.84/202.77 [6475]~P1(f318(f318(f226(a1),x64751),x64752))+P1(f318(f318(f225(a1),x64751),f318(f318(f3(a1),x64752),f71(a1))))
% 202.84/202.77 [6476]~P1(f318(f318(f225(a1),x64761),x64762))+P1(f318(f318(f226(a1),x64761),f318(f318(f73(a1),x64762),f71(a1))))
% 202.84/202.77 [6477]~P1(f318(f318(f226(a1),x64771),x64772))+P1(f318(f318(f226(a1),x64771),f318(f318(f73(a1),x64772),f71(a1))))
% 202.84/202.77 [6479]~P1(f318(f318(f225(a1),x64791),x64792))+P1(f318(f318(f225(a920),f318(f94(a920),x64791)),f318(f94(a920),x64792)))
% 202.84/202.77 [6481]~P1(f318(f318(f225(a920),x64811),x64812))+P1(f318(f318(f225(a1),f318(f91(a1),x64811)),f318(f91(a1),x64812)))
% 202.84/202.77 [6482]~P1(f318(f318(f225(a1),x64821),x64822))+P1(f318(f318(f225(a1),f318(f94(a1),x64821)),f318(f94(a1),x64822)))
% 202.84/202.77 [6484]~P1(f318(f318(f226(a920),x64841),x64842))+P1(f318(f318(f226(a1),f318(f91(a1),x64841)),f318(f91(a1),x64842)))
% 202.84/202.77 [6485]~P1(f318(f318(f226(a1),x64851),x64852))+P1(f318(f318(f226(a1),f318(f94(a1),x64851)),f318(f94(a1),x64852)))
% 202.84/202.77 [6505]~P1(f318(f318(f225(a920),x65051),x65052))+~P1(f318(f318(f225(a920),f318(a103,x65052)),x65051))
% 202.84/202.77 [6548]~P1(f318(f318(f225(a920),f318(a103,x65481)),f318(a103,x65482)))+P1(f318(f318(f225(a920),x65481),x65482))
% 202.84/202.77 [6549]~P1(f318(f318(f225(a90),f318(a5,x65491)),f318(a5,x65492)))+P1(f318(f318(f225(a920),x65491),x65492))
% 202.84/202.77 [6550]~P1(f318(f318(f225(a920),f318(a22,x65501)),f318(a22,x65502)))+P1(f318(f318(f225(a90),x65501),x65502))
% 202.84/202.77 [6552]~P1(f318(f318(f226(a920),f318(a103,x65521)),f318(a103,x65522)))+P1(f318(f318(f226(a920),x65521),x65522))
% 202.84/202.77 [6553]~P1(f318(f318(f226(a90),f318(a5,x65531)),f318(a5,x65532)))+P1(f318(f318(f226(a920),x65531),x65532))
% 202.84/202.77 [6554]~P1(f318(f318(f226(a920),f318(a95,x65541)),f318(a95,x65542)))+P1(f318(f318(f226(a1),x65541),x65542))
% 202.84/202.77 [6555]~P1(f318(f318(f226(a920),f318(a22,x65551)),f318(a22,x65552)))+P1(f318(f318(f226(a90),x65551),x65552))
% 202.84/202.77 [6597]~P1(f318(f318(f226(a920),f318(a95,x65972)),f318(a95,x65971)))+P1(f318(f318(f226(a1),f2(a1)),x65971))
% 202.84/202.77 [6629]P1(f318(f318(f225(a1),f2(a1)),f39(a1,x66291,x66292)))+~P1(f318(f318(f226(a1),f2(a1)),x66292))
% 202.84/202.77 [6794]P39(x67941,x67942)+~E(f318(f318(f280(x67941,x67941,x67941),x67942),x67942),f179(f927(f926(x67941,x67941),a918)))
% 202.84/202.77 [6808]~P39(x68081,x68082)+P39(x68081,f318(f318(f280(x68081,x68081,x68081),x68082),x68082))
% 202.84/202.77 [6819]P1(f318(f318(f225(a1),x68191),x68192))+~P1(f318(f318(f226(a1),x68191),f318(f318(f73(a1),x68192),f71(a1))))
% 202.84/202.77 [6820]P1(f318(f318(f226(a1),x68201),x68202))+~P1(f318(f318(f225(a1),x68201),f318(f318(f3(a1),x68202),f71(a1))))
% 202.84/202.77 [6823]P1(f318(f318(f225(a920),x68231),x68232))+~P1(f318(f318(f225(a1),f318(f91(a1),x68231)),f318(f91(a1),x68232)))
% 202.84/202.77 [6824]P1(f318(f318(f225(a1),x68241),x68242))+~P1(f318(f318(f225(a1),f318(f94(a1),x68241)),f318(f94(a1),x68242)))
% 202.84/202.77 [6826]P1(f318(f318(f226(a920),x68261),x68262))+~P1(f318(f318(f226(a1),f318(f91(a1),x68261)),f318(f91(a1),x68262)))
% 202.84/202.77 [6827]P1(f318(f318(f226(a1),x68271),x68272))+~P1(f318(f318(f226(a920),f318(f94(a920),x68271)),f318(f94(a920),x68272)))
% 202.84/202.77 [6828]P1(f318(f318(f226(a1),x68281),x68282))+~P1(f318(f318(f226(a1),f318(f94(a1),x68281)),f318(f94(a1),x68282)))
% 202.84/202.77 [6903]~E(f281(a920,f278(a920),x69031,x69032),f179(f927(a920,a918)))+~P1(f318(f318(f278(a920),x69031),x69032))
% 202.84/202.77 [6927]~E(f702(x69272,x69271),f104(x69271))+E(f318(f133(f921(x69271),f921(x69271),f125(x69271),f104(x69271)),x69272),f104(x69271))
% 202.84/202.77 [6928]~E(f703(x69282,x69281),f104(x69281))+E(f318(f133(f921(x69281),f921(x69281),f125(x69281),f104(x69281)),x69282),f104(x69281))
% 202.84/202.77 [6933]~P5(x69331)+E(f318(f133(x69331,x69331,f92(x69331),f233(x69331)),x69332),f32(x69331,f318(f163(x69331),x69332)))
% 202.84/202.77 [6934]~P5(x69341)+E(f318(f133(x69341,x69341,f101(x69341),f179(x69341)),x69342),f31(x69341,f318(f163(x69341),x69342)))
% 202.84/202.77 [6948]E(x69481,f2(a90))+E(f318(f318(f73(a920),f318(a22,f318(f318(f3(a90),x69481),f71(a90)))),f318(a103,x69482)),f318(f318(f73(a920),f318(a22,x69481)),x69482))
% 202.84/202.77 [6997]P1(f318(f318(f226(a1),f318(f318(f3(a1),x69971),x69972)),f2(a1)))+~P1(f318(f318(f226(a1),x69971),x69972))
% 202.84/202.77 [7025]~P4(x70251)+E(f318(f318(f101(f927(x70251,a918)),f318(f318(f300(x70251),x70252),f179(f927(x70251,a918)))),f318(f295(x70251),x70252)),f318(f274(x70251),x70252))
% 202.84/202.77 [7102]~P63(x71021,x71022)+P39(x71021,f318(f253(f926(x71021,x71021)),f318(f248(x71021,x71021,a918),x71022)))
% 202.84/202.77 [7103]~P63(x71031,x71032)+P61(x71031,f318(f253(f926(x71031,x71031)),f318(f248(x71031,x71031,a918),x71032)))
% 202.84/202.77 [7104]~P53(x71041,x71042)+P40(x71041,f318(f253(f926(x71041,x71041)),f318(f248(x71041,x71041,a918),x71042)))
% 202.84/202.77 [7105]~P54(x71051,x71052)+P55(x71051,f318(f253(f926(x71051,x71051)),f318(f248(x71051,x71051,a918),x71052)))
% 202.84/202.77 [7106]E(x71061,f179(f927(x71062,a918)))+~P1(f318(f318(f225(f927(x71062,a918)),x71061),f179(f927(x71062,a918))))
% 202.84/202.77 [7188]~P1(f318(f318(f226(a920),f2(a920)),x71882))+P1(f318(f318(f225(a920),f39(a920,x71881,x71882)),x71882))
% 202.84/202.77 [7189]~P1(f318(f318(f225(a1),f2(a1)),x71891))+P1(f318(f318(f225(a1),f39(a1,x71891,x71892)),x71891))
% 202.84/202.77 [7190]~P1(f318(f318(f226(a920),f2(a920)),x71902))+P1(f318(f318(f226(a920),f39(a920,x71901,x71902)),x71902))
% 202.84/202.77 [7192]~P1(f318(f318(f226(a1),f2(a1)),x71922))+P1(f318(f318(f226(a1),f39(a1,x71921,x71922)),x71922))
% 202.84/202.77 [7270]~P113(x72701)+E(f318(f318(f3(f927(x72701,a918)),f318(f318(f300(x72701),x72702),f179(f927(x72701,a918)))),f318(f273(x72701),x72702)),f318(f318(f300(x72701),x72702),f179(f927(x72701,a918))))
% 202.84/202.77 [7346]~P51(x73461,x73462)+P56(x73461,f233(f927(x73461,a918)),f318(f253(f926(x73461,x73461)),f318(f248(x73461,x73461,a918),x73462)))
% 202.84/202.77 [7347]P1(f318(x73471,x73472))+P1(f318(f318(f320(f927(f926(a920,a920),a918)),f583(x73472,x73471)),a89))
% 202.84/202.77 [7394]E(f318(f318(f125(a920),f130(a920,f318(f293(a920,x73941),x73942))),f318(f318(f142(a920),x73942),f104(a920))),f130(a920,f318(f293(a920,x73941),f318(a103,x73942))))+~P1(f318(f318(f225(a920),x73941),x73942))
% 202.84/202.77 [7543]E(x75431,f2(a920))+~E(f318(f133(a920,a920,f73(a920),x75431),x75432),f2(a920))
% 202.84/202.77 [7569]~P1(f318(f318(f226(a1),f318(f318(f3(a1),x75691),x75692)),f2(a1)))+P1(f318(f318(f226(a1),x75691),x75692))
% 202.84/202.77 [7596]P39(x75961,x75962)+~P39(x75961,f318(f318(f280(x75961,x75961,x75961),x75962),x75962))
% 202.84/202.77 [7621]~P1(f318(f318(f225(a920),f318(a103,x76211)),x76212))+P1(f176(a918,a230,f318(f225(a920),x76211),x76212))
% 202.84/202.77 [7774]P25(a920,a920,f318(f318(f9(a920,a920,a920),f3(a920)),x77741),x77742)+P1(f318(f318(f320(a920),f590(x77741,x77742)),x77742))
% 202.84/202.77 [7832]E(f318(f318(f318(f59(a920,x78321,f73(a920)),f318(f18(a920,x78321),f71(a920))),f2(a920)),x78322),f318(f29(x78321),x78322))+~P1(f318(f55(x78321),x78322))
% 202.84/202.77 [7875]P25(a920,a920,f318(f318(f9(a920,a920,a920),f3(a920)),x78751),x78752)+~P1(f318(f318(f225(a920),x78751),f590(x78751,x78752)))
% 202.84/202.77 [7930]P39(x79301,x79302)+P1(f318(f318(f225(f927(x79301,a918)),f587(x79302,x79301)),f318(f276(x79301,x79301,x79302),f587(x79302,x79301))))
% 202.84/202.77 [7935]P63(x79351,x79352)+~P39(x79351,f318(f253(f926(x79351,x79351)),f318(f248(x79351,x79351,a918),x79352)))
% 202.84/202.77 [7936]P53(x79361,x79362)+~P40(x79361,f318(f253(f926(x79361,x79361)),f318(f248(x79361,x79361,a918),x79362)))
% 202.84/202.77 [7937]P54(x79371,x79372)+~P55(x79371,f318(f253(f926(x79371,x79371)),f318(f248(x79371,x79371,a918),x79372)))
% 202.84/202.77 [8004]P1(f318(f318(f225(a920),f318(a103,x80041)),x80042))+~P1(f176(a918,a230,f318(f225(a920),x80041),x80042))
% 202.84/202.77 [8062]P1(f318(f318(f320(f926(a920,a920)),f318(f318(f243(a920,a920),x80621),x80622)),f298(a920,a308)))+~P1(f318(f318(f225(a920),x80621),x80622))
% 202.84/202.77 [8159]P51(x81591,x81592)+~P56(x81591,f233(f927(x81591,a918)),f318(f253(f926(x81591,x81591)),f318(f248(x81591,x81591,a918),x81592)))
% 202.84/202.77 [8215]~P1(f318(f128(x82151),x82152))+P1(f318(f128(f927(x82151,a918)),f318(f318(f145(f921(x82151),f927(x82151,a918)),f163(x82151)),f48(x82151,x82152))))
% 202.84/202.77 [8419]~P39(x84191,f318(f277(x84191,x84191),x84192))+P39(x84191,f318(f277(x84191,x84191),f318(f318(f280(x84191,x84191,x84191),x84192),f298(x84191,x84192))))
% 202.84/202.77 [8517]P26(x85171,a920,f826(x85172,x85171),x85172,f318(f293(a920,f2(a920)),f318(f29(x85171),x85172)))+~P1(f318(f55(x85171),x85172))
% 202.84/202.77 [8518]P26(a920,x85181,f827(x85182,x85181),f318(f293(a920,f2(a920)),f318(f29(x85181),x85182)),x85182)+~P1(f318(f55(x85181),x85182))
% 202.84/202.77 [8536]P26(a920,x85361,f828(x85362,x85361),f294(a920,f71(a920),f318(f29(x85361),x85362)),x85362)+~P1(f318(f55(x85361),x85362))
% 202.84/202.77 [8545]P1(f318(f55(f926(x85451,x85451)),f318(f318(f280(x85451,x85451,x85451),x85452),f298(x85451,x85452))))+~P1(f318(f55(f926(x85451,x85451)),x85452))
% 202.84/202.77 [8572]E(x85721,f2(a1))+P1(f318(f43(x85722,x85721),f318(f318(f243(a1,a1),f318(f318(f30(a1),x85722),x85721)),f39(a1,x85722,x85721))))
% 202.84/202.77 [8586]~P1(f318(f318(f320(f926(a920,a920)),f318(f318(f243(a920,a920),x85861),x85862)),f298(a920,a308)))+P1(f318(f318(f225(a920),x85861),x85862))
% 202.84/202.77 [8602]~P89(x86021)+E(f318(f133(x86021,x86021,f318(f9(x86021,x86021,x86021),f73(x86021)),f2(x86021)),f318(f159(x86021),x86022)),f318(f133(x86021,x86021,f73(x86021),f2(x86021)),x86022))
% 202.84/202.77 [8778]~P4(x87781)+E(f318(f133(f921(x87781),x87781,f318(f9(x87781,f921(x87781),f921(x87781)),f139(x87781,x87781,f7(x87781))),f104(x87781)),x87782),f141(x87781,x87781,f7(x87781),x87782))
% 202.84/202.77 [8889]~P61(x88891,f318(f253(f926(x88891,x88891)),f318(f248(x88891,x88891,a918),x88892)))+P61(x88891,f318(f253(f926(x88891,x88891)),f318(f248(x88891,x88891,a918),f234(x88891,x88891,x88892))))
% 202.84/202.77 [8903]P1(f318(f318(f320(f926(a920,a920)),f318(f318(f243(a920,a920),x89031),x89032)),f318(f318(f280(a920,a920,a920),a308),f298(a920,a308))))+~P1(f318(f318(f226(a920),x89031),x89032))
% 202.84/202.77 [8949]~P1(f318(f55(f926(x89491,x89491)),f318(f318(f280(x89491,x89491,x89491),x89492),f298(x89491,x89492))))+P1(f318(f55(f926(x89491,x89491)),x89492))
% 202.84/202.77 [9008]~P61(x90081,f318(f253(f926(x90081,x90081)),f318(f248(x90081,x90081,a918),f234(x90081,x90081,x90082))))+P61(x90081,f318(f253(f926(x90081,x90081)),f318(f248(x90081,x90081,a918),x90082)))
% 202.84/202.77 [9209]P61(x92091,x92092)+P1(f318(f318(f320(f926(x92091,x92091)),f318(f318(f243(x92091,x92091),f618(x92092,x92091)),f618(x92092,x92091))),f318(f318(f280(x92091,x92091,x92091),x92092),f298(x92091,x92092))))
% 202.84/202.77 [9210]P61(x92101,x92102)+P1(f318(f318(f320(f926(x92101,x92101)),f318(f318(f243(x92101,x92101),f628(x92102,x92101)),f628(x92102,x92101))),f318(f318(f280(x92101,x92101,x92101),x92102),f298(x92101,x92102))))
% 202.84/202.77 [9328]~P1(f318(f318(f320(f926(a920,a920)),f318(f318(f243(a920,a920),x93281),x93282)),f318(f318(f280(a920,a920,a920),a308),f298(a920,a308))))+P1(f318(f318(f226(a920),x93281),x93282))
% 202.84/202.77 [5229]~P100(x52291)+E(f318(f318(f73(x52291),f318(f94(x52291),a76)),x52292),x52292)
% 202.84/202.77 [5262]~P65(x52621)+E(f318(f318(f92(x52621),f318(f72(x52621),x52622)),x52622),f179(x52621))
% 202.84/202.77 [5263]~P65(x52631)+E(f318(f318(f101(x52631),f318(f72(x52631),x52632)),x52632),f233(x52631))
% 202.84/202.77 [5264]~P68(x52641)+E(f318(f318(f73(x52641),f318(f72(x52641),x52642)),x52642),f2(x52641))
% 202.84/202.77 [5265]~P69(x52651)+E(f318(f318(f73(x52651),f318(f72(x52651),x52652)),x52652),f2(x52651))
% 202.84/202.77 [5301]~P100(x53011)+E(f318(f318(f74(x53011),f318(f94(x53011),a88)),x53012),f318(f72(x53011),x53012))
% 202.84/202.77 [5458]~P120(x54581)+E(f318(f318(f74(x54581),f318(f72(x54581),f71(x54581))),x54582),f318(f72(x54581),x54582))
% 202.84/202.77 [5503]E(f318(f69(a1),x55031),f71(a1))+~E(f318(f69(a1),f318(f318(f74(a1),x55031),x55032)),f71(a1))
% 202.84/202.77 [5594]~P100(x55941)+E(f318(f318(f73(x55941),f71(x55941)),f318(f94(x55941),x55942)),f318(f94(x55941),f318(f318(f3(a1),x55942),a88)))
% 202.84/202.77 [5647]~P5(x56471)+E(f32(x56471,f318(f318(f300(x56471),x56472),f179(f927(x56471,a918)))),x56472)
% 202.84/202.77 [5648]~P5(x56481)+E(f31(x56481,f318(f318(f300(x56481),x56482),f179(f927(x56481,a918)))),x56482)
% 202.84/202.77 [5649]~P104(x56491)+E(f12(x56491,f318(f318(f300(x56491),x56492),f179(f927(x56491,a918)))),x56492)
% 202.84/202.77 [5650]~P104(x56501)+E(f15(x56501,f318(f318(f300(x56501),x56502),f179(f927(x56501,a918)))),x56502)
% 202.84/202.77 [5651]~P4(x56511)+E(f16(x56511,f318(f318(f300(x56511),x56512),f179(f927(x56511,a918)))),x56512)
% 202.84/202.77 [5652]~P4(x56521)+E(f17(x56521,f318(f318(f300(x56521),x56522),f179(f927(x56521,a918)))),x56522)
% 202.84/202.77 [5674]E(f318(f318(f73(a920),x56741),f318(f318(f3(a920),x56742),x56741)),x56742)+P1(f318(f318(f226(a920),x56742),x56741))
% 202.84/202.77 [5710]E(x57101,f104(x57102))+P1(f318(f318(f226(a920),f2(a920)),f318(f180(f921(x57102)),x57101)))
% 202.84/202.77 [5838]~P4(x58381)+E(f13(x58381,f223(x58381),f318(f318(f300(x58381),x58382),f179(f927(x58381,a918)))),x58382)
% 202.84/202.77 [5839]~P4(x58391)+E(f14(x58391,f224(x58391),f318(f318(f300(x58391),x58392),f179(f927(x58391,a918)))),x58392)
% 202.84/202.77 [5900]E(f318(f318(f3(a920),x59001),f318(f318(f3(a920),x59001),x59002)),x59002)+~P1(f318(f318(f225(a920),x59002),x59001))
% 202.84/202.77 [5901]E(f318(f318(f73(a920),x59011),f318(f318(f3(a920),x59012),x59011)),x59012)+~P1(f318(f318(f225(a920),x59011),x59012))
% 202.84/202.77 [5923]E(f39(a920,f318(f318(f3(a920),x59231),x59232),x59232),f39(a920,x59231,x59232))+P1(f318(f318(f226(a920),x59231),x59232))
% 202.84/202.77 [5934]E(f318(f72(a1),f318(f318(f30(a1),x59341),f318(f72(a1),x59342))),f284(x59341,x59342))+P1(f318(f318(f225(a1),f2(a1)),x59342))
% 202.84/202.77 [5936]~E(x59362,f2(a920))+P1(f318(f318(f226(a920),f2(a920)),f318(f318(f235(a920),x59361),x59362)))
% 202.84/202.77 [5991]~P100(x59911)+E(f318(f318(f73(x59911),f318(f72(x59911),f71(x59911))),f318(f94(x59911),x59912)),f318(f94(x59911),f318(f318(f73(a1),x59912),a88)))
% 202.84/202.77 [5993]E(f318(f318(f235(a920),f318(f94(a920),x59931)),x59932),f318(f318(f235(a920),f2(a920)),x59932))+~P1(f318(a184,f318(f94(a1),x59931)))
% 202.84/202.77 [6101]E(f318(f132(a920),f130(a920,f318(f293(a920,x61011),x61012))),x61011)+~P1(f318(f318(f226(a920),x61011),x61012))
% 202.84/202.77 [6117]E(f318(f318(f74(a920),f318(f94(a920),x61171)),f318(f94(a920),x61172)),f318(f94(a920),f318(f318(f74(a1),x61171),x61172)))+P1(f318(f318(f226(a1),x61171),a76))
% 202.84/202.77 [6123]~P132(x61231)+P1(f318(f318(f225(x61231),f2(x61231)),f318(f318(f74(x61231),x61232),x61232)))
% 202.84/202.77 [6135]E(f318(f318(f3(a920),f318(a103,x61351)),x61352),f318(a103,f318(f318(f3(a920),x61351),x61352)))+~P1(f318(f318(f225(a920),x61352),x61351))
% 202.84/202.77 [6139]E(f39(a920,f318(f318(f3(a920),x61391),x61392),x61392),f39(a920,x61391,x61392))+~P1(f318(f318(f225(a920),x61392),x61391))
% 202.84/202.77 [6196]E(f318(f318(f235(a920),f318(a95,x61961)),x61962),f318(a95,f318(f318(f235(a1),x61961),x61962)))+~P1(f318(f318(f225(a1),f2(a1)),x61961))
% 202.84/202.77 [6214]P1(f318(f128(x62141),x62142))+P1(f318(f318(f226(a920),f671(x62142,x62141)),f318(f180(f921(x62141)),x62142)))
% 202.84/202.77 [6215]P1(f318(f128(x62151),x62152))+P1(f318(f318(f226(a920),f675(x62152,x62151)),f318(f180(f921(x62151)),x62152)))
% 202.84/202.77 [6229]~E(x62291,f104(x62292))+~P1(f318(f318(f226(a920),f2(a920)),f318(f180(f921(x62292)),x62291)))
% 202.84/202.77 [6240]E(f135(a920,f130(a920,f318(f293(a920,x62401),x62402))),f318(f318(f3(a920),x62402),f71(a920)))+~P1(f318(f318(f226(a920),x62401),x62402))
% 202.84/202.77 [6243]E(f318(f318(f73(a1),x62431),f318(f91(a1),f318(a103,f888(x62432,x62431)))),x62432)+~P1(f318(f318(f226(a1),x62431),x62432))
% 202.84/202.77 [6250]E(x62501,f2(a920))+E(f318(f318(f74(a920),x62502),f318(f318(f235(a920),x62502),f318(f318(f3(a920),x62501),f71(a920)))),f318(f318(f235(a920),x62502),x62501))
% 202.84/202.77 [6279]E(f318(f318(f74(a920),f318(a95,x62791)),f318(a95,x62792)),f318(a95,f318(f318(f74(a1),x62791),x62792)))+~P1(f318(f318(f225(a1),f2(a1)),x62791))
% 202.84/202.77 [6280]E(f318(f318(f30(a920),f318(a95,x62801)),f318(a95,x62802)),f318(a95,f318(f318(f30(a1),x62801),x62802)))+~P1(f318(f318(f225(a1),f2(a1)),x62801))
% 202.84/202.77 [6295]~P118(x62951)+E(f318(f318(f73(x62951),x62952),x62952),f318(f318(f74(x62951),f318(f318(f73(x62951),f71(x62951)),f71(x62951))),x62952))
% 202.84/202.77 [6316]E(f318(f318(f3(a1),f318(f91(a1),x63161)),f318(f91(a1),x63162)),f318(f91(a1),f318(f318(f3(a920),x63161),x63162)))+~P1(f318(f318(f225(a920),x63162),x63161))
% 202.84/202.77 [6318]E(f318(f318(f243(a1,a1),f318(f94(a1),a88)),f318(f318(f73(a1),x63181),x63182)),f44(x63181,x63182))+~P1(f318(f318(f225(a1),x63182),f2(a1)))
% 202.84/202.77 [6352]E(f170(x63521,x63522),f104(f921(x63521)))+P1(f318(f318(f320(f921(x63521)),f670(x63522,x63521)),f318(f163(f921(x63521)),x63522)))
% 202.84/202.77 [6361]E(f107(a1,f318(f120(a1),x63611),f119(x63612,f318(f318(f73(a1),x63611),f71(a1)))),f119(x63612,x63611))+P1(f318(f318(f226(a1),x63612),x63611))
% 202.84/202.77 [6437]E(f318(f318(f142(a1),x64371),f169(f318(f318(f73(a1),x64371),f71(a1)),x64372)),f169(x64371,x64372))+~P1(f318(f318(f225(a1),x64371),x64372))
% 202.84/202.77 [6478]~P1(f318(f318(f226(a920),x64782),x64781))+P1(f318(f318(f226(a920),f2(a920)),f318(f318(f3(a920),x64781),x64782)))
% 202.84/202.77 [6510]~P1(f318(f318(f226(a920),x65101),f318(a95,x65102)))+P1(f318(f318(f226(a1),f318(f91(a1),x65101)),x65102))
% 202.84/202.77 [6539]~P4(x65391)+E(f318(f318(f101(f927(x65391,a918)),f318(f273(x65391),x65392)),f318(f318(f300(x65391),x65392),f179(f927(x65391,a918)))),f318(f292(x65391),x65392))
% 202.84/202.77 [6540]~P1(f318(f318(f225(a1),f2(a1)),x65401))+P1(f318(f318(f225(a1),f2(a1)),f318(f318(f235(a1),x65401),x65402)))
% 202.84/202.77 [6543]~P1(f318(f318(f226(a920),f2(a920)),x65431))+P1(f318(f318(f226(a920),f2(a920)),f318(f318(f235(a920),x65431),x65432)))
% 202.84/202.77 [6573]~E(f318(x65731,f2(a920)),f2(a920))+E(f318(f318(f8(a920,a920),x65731),f294(a920,f318(a103,f2(a920)),x65732)),f318(f318(f8(a920,a920),x65731),f294(a920,f2(a920),x65732)))
% 202.84/202.77 [6637]~P100(x66371)+E(f318(f318(f74(x66371),f318(f318(f73(x66371),f71(x66371)),f71(x66371))),f318(f94(x66371),x66372)),f318(f94(x66371),f318(f318(f73(a1),x66372),x66372)))
% 202.84/202.77 [6654]E(f318(f318(f300(a1),x66541),f294(a1,f318(f318(f73(a1),x66541),f71(a1)),x66542)),f294(a1,x66541,x66542))+P1(f318(f318(f226(a1),x66542),x66541))
% 202.84/202.77 [6655]P1(f318(f318(f226(a920),x66551),f318(a95,x66552)))+~P1(f318(f318(f226(a1),f318(f91(a1),x66551)),x66552))
% 202.84/202.77 [6758]E(f318(a95,f318(f318(f30(a1),f318(f94(a1),x67581)),f318(f94(a1),x67582))),f318(f318(f30(a920),f318(f94(a920),x67581)),f318(f94(a920),x67582)))+P1(f318(a184,f318(f94(a1),x67581)))
% 202.84/202.77 [6821]P1(f318(f318(f226(a920),x68211),x68212))+~P1(f318(f318(f226(a920),f2(a920)),f318(f318(f3(a920),x68212),x68211)))
% 202.84/202.77 [6865]P1(f318(f318(f226(a920),f2(a920)),x68651))+~P1(f318(f318(f226(a920),f2(a920)),f318(f318(f74(a920),x68652),x68651)))
% 202.84/202.77 [6866]P1(f318(f318(f226(a920),f2(a920)),x68661))+~P1(f318(f318(f226(a920),f2(a920)),f318(f318(f74(a920),x68661),x68662)))
% 202.84/202.77 [6886]~P1(f318(f318(f225(a1),x68861),f2(a1)))+E(f318(f318(f74(a920),f318(a95,f318(f72(a1),x68861))),f318(a95,f318(f72(a1),x68862))),f318(a95,f318(f318(f74(a1),x68861),x68862)))
% 202.84/202.77 [6945]~E(x69452,f179(f927(x69451,a918)))+P1(f318(f318(f225(f927(x69451,a918)),x69452),f318(f72(f927(x69451,a918)),x69452)))
% 202.84/202.77 [7008]~P100(x70081)+E(f318(f318(f73(x70081),f318(f318(f73(x70081),f2(x70081)),f318(f94(x70081),x70082))),f318(f94(x70081),x70082)),f318(f94(x70081),f318(f318(f73(a1),x70082),x70082)))
% 202.84/202.77 [7066]~P1(f318(f318(f226(a1),x70661),x70662))+P1(f318(f318(f225(a1),f318(f318(f73(a1),x70661),f71(a1))),x70662))
% 202.84/202.77 [7134]E(x71341,f2(a920))+~P1(f318(f318(f225(a1),f318(f91(a1),x71342)),f318(f72(a1),f318(f91(a1),x71341))))
% 202.84/202.77 [7135]E(x71351,f2(a920))+~P1(f318(f318(f225(a1),f318(f91(a1),x71351)),f318(f72(a1),f318(f91(a1),x71352))))
% 202.84/202.77 [7237]E(f318(f318(f243(a1,a1),f318(f94(a1),a88)),f318(f318(f73(a1),x72371),x72372)),f44(x72371,x72372))+~P1(f318(f318(f225(a1),f2(a1)),f318(f318(f73(a1),x72371),x72372)))
% 202.84/202.77 [7282]~P27(x72821,x72822)+P39(x72821,f318(f242(f927(f926(x72821,x72821),a918),f927(f926(x72821,x72821),a918)),x72822))
% 202.84/202.77 [7301]~P1(f318(f318(f225(a920),f318(a103,f2(a920))),x73011))+P1(f318(f318(f225(a920),f318(a103,f2(a920))),f318(f318(f235(a920),x73011),x73012)))
% 202.84/202.77 [7484]~P1(f318(f318(f225(a1),x74841),x74842))+P1(f318(f318(f225(a1),f318(f318(f73(a1),x74841),x74841)),f318(f318(f73(a1),x74842),x74842)))
% 202.84/202.77 [7489]~P1(f318(f318(f226(a1),x74891),x74892))+P1(f318(f318(f226(a1),f318(f318(f73(a1),x74891),x74891)),f318(f318(f73(a1),x74892),x74892)))
% 202.84/202.77 [7544]~P1(f318(f318(f226(a920),f2(a920)),x75441))+P1(f318(f318(f226(a920),f318(f318(f3(a920),x75441),f318(a103,x75442))),x75441))
% 202.84/202.77 [7578]P1(f318(f318(f225(a920),f318(a103,f2(a920))),x75781))+~P1(f318(f318(f225(a920),f318(a103,f2(a920))),f318(f318(f74(a920),x75782),x75781)))
% 202.84/202.77 [7579]P1(f318(f318(f225(a920),f318(a103,f2(a920))),x75791))+~P1(f318(f318(f225(a920),f318(a103,f2(a920))),f318(f318(f74(a920),x75791),x75792)))
% 202.84/202.77 [7583]P1(f318(f318(f225(a920),f318(f318(f155(a920),x75831),x75832)),f318(f156(a920),x75831)))+~P1(f318(f318(f226(a920),x75832),f318(f180(f921(a920)),x75831)))
% 202.84/202.77 [7620]P1(f318(f318(f226(a1),x76201),x76202))+~P1(f318(f318(f225(a1),f318(f318(f73(a1),x76201),f71(a1))),x76202))
% 202.84/202.77 [7662]P1(f318(f55(x76621),f233(f927(x76621,a918))))+~P1(f318(f55(f927(x76622,x76621)),f233(f927(f927(x76622,x76621),a918))))
% 202.84/202.77 [7663]P1(f318(f55(x76631),f233(f927(x76631,a918))))+~P1(f318(f55(f928(x76632,x76631)),f233(f927(f928(x76632,x76631),a918))))
% 202.84/202.77 [7664]P1(f318(f55(x76641),f233(f927(x76641,a918))))+~P1(f318(f55(f928(x76641,x76642)),f233(f927(f928(x76641,x76642),a918))))
% 202.84/202.77 [7702]E(x77021,f179(f927(x77022,a918)))+~P1(f318(f318(f225(f927(x77022,a918)),x77021),f318(f72(f927(x77022,a918)),x77021)))
% 202.84/202.77 [7842]E(f318(f133(f921(x78421),f921(x78421),f125(x78421),f104(x78421)),x78422),f104(x78421))+P1(f318(f318(f320(f921(x78421)),f702(x78422,x78421)),f318(f163(f921(x78421)),x78422)))
% 202.84/202.77 [7843]E(f318(f133(f921(x78431),f921(x78431),f125(x78431),f104(x78431)),x78432),f104(x78431))+P1(f318(f318(f320(f921(x78431)),f703(x78432,x78431)),f318(f163(f921(x78431)),x78432)))
% 202.84/202.77 [8080]P1(f318(f318(f225(a1),x80801),x80802))+~P1(f318(f318(f225(a1),f318(f318(f73(a1),x80801),x80801)),f318(f318(f73(a1),x80802),x80802)))
% 202.84/202.77 [8085]P1(f318(f318(f226(a1),x80851),x80852))+~P1(f318(f318(f226(a1),f318(f318(f73(a1),x80851),x80851)),f318(f318(f73(a1),x80852),x80852)))
% 202.84/202.77 [8179]~P118(x81791)+E(f318(f318(f74(x81791),f318(f318(f73(x81791),f71(x81791)),f71(x81791))),f318(f318(f8(a920,x81791),f91(x81791)),f294(a920,f71(a920),x81792))),f318(f318(f74(x81791),f318(f91(x81791),x81792)),f318(f318(f73(x81791),f318(f91(x81791),x81792)),f71(x81791))))
% 202.84/202.77 [8229]P1(f318(f318(f320(a920),x82291),x82292))+~P1(f318(f318(f320(a1),f318(f91(a1),x82291)),f318(f301(a920,a1,f91(a1)),x82292)))
% 202.84/202.77 [8391]~P1(f318(f55(x83911),x83912))+E(f318(f301(a920,x83911,f569(x83912,x83911)),f318(f253(a920),f318(f318(f9(a920,a920,a918),f226(a920)),f559(x83912,x83911)))),x83912)
% 202.84/202.77 [8672]P57(x86721,x86722)+P1(f318(f318(f320(f926(x86721,x86721)),f318(f318(f243(x86721,x86721),f523(x86722,x86721)),f523(x86722,x86721))),x86722))
% 202.84/202.77 [8673]P40(x86731,x86732)+P1(f318(f318(f320(f926(x86731,x86731)),f318(f318(f243(x86731,x86731),f791(x86732,x86731)),f795(x86732,x86731))),x86732))
% 202.84/202.77 [8674]P40(x86741,x86742)+P1(f318(f318(f320(f926(x86741,x86741)),f318(f318(f243(x86741,x86741),f795(x86742,x86741)),f796(x86742,x86741))),x86742))
% 202.84/202.77 [8675]P41(x86751,x86752)+P1(f318(f318(f320(f926(x86751,x86751)),f318(f318(f243(x86751,x86751),f710(x86752,x86751)),f709(x86752,x86751))),x86752))
% 202.84/202.77 [8676]P41(x86761,x86762)+P1(f318(f318(f320(f926(x86761,x86761)),f318(f318(f243(x86761,x86761),f709(x86762,x86761)),f710(x86762,x86761))),x86762))
% 202.84/202.77 [8677]P55(x86771,x86772)+P1(f318(f318(f320(f926(x86771,x86771)),f318(f318(f243(x86771,x86771),f806(x86772,x86771)),f807(x86772,x86771))),x86772))
% 202.84/202.77 [8821]~P100(x88211)+E(f318(f318(f3(x88211),f71(x88211)),f318(f94(x88211),x88212)),f318(f94(x88211),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f72(a1),x88212))))
% 202.84/202.77 [8946]~P1(f318(f318(f226(f927(a920,a918)),x89461),x89462))+P1(f318(f318(f226(f927(a1,a918)),f318(f301(a920,a1,f91(a1)),x89461)),f318(f301(a920,a1,f91(a1)),x89462)))
% 202.84/202.77 [8981]~P1(f318(f318(f226(a1),x89811),x89812))+P1(f318(f318(f225(a1),f318(f318(f3(a1),f318(f318(f73(a1),x89811),x89811)),a88)),f318(f318(f73(a1),x89812),x89812)))
% 202.84/202.77 [8983]~P1(f318(f318(f226(a1),x89831),x89832))+P1(f318(f318(f226(a1),f318(f318(f3(a1),f318(f318(f73(a1),x89831),x89831)),a88)),f318(f318(f73(a1),x89832),x89832)))
% 202.84/202.77 [9056]~P1(f318(f318(f320(a920),x90561),f318(f163(a920),x90562)))+P1(f318(f318(f225(a920),x90561),f318(f133(a920,a920,f73(a920),f2(a920)),x90562)))
% 202.84/202.77 [9148]P48(x91481,x91482)+~P1(f318(f318(f320(f926(x91481,x91481)),f318(f318(f243(x91481,x91481),f494(x91482,x91481)),f494(x91482,x91481))),x91482))
% 202.84/202.77 [9149]P40(x91491,x91492)+~P1(f318(f318(f320(f926(x91491,x91491)),f318(f318(f243(x91491,x91491),f791(x91492,x91491)),f796(x91492,x91491))),x91492))
% 202.84/202.77 [9150]P55(x91501,x91502)+~P1(f318(f318(f320(f926(x91501,x91501)),f318(f318(f243(x91501,x91501),f807(x91502,x91501)),f806(x91502,x91501))),x91502))
% 202.84/202.77 [9291]~P1(f318(f318(f225(f927(a1,a918)),f318(f301(a920,a1,f91(a1)),x92911)),f318(f301(a920,a1,f91(a1)),x92912)))+P1(f318(f318(f225(f927(a920,a918)),x92911),x92912))
% 202.84/202.77 [9292]~P1(f318(f318(f226(f927(a1,a918)),f318(f301(a920,a1,f91(a1)),x92921)),f318(f301(a920,a1,f91(a1)),x92922)))+P1(f318(f318(f226(f927(a920,a918)),x92921),x92922))
% 202.84/202.77 [9378]P1(f318(f318(f226(a1),x93781),x93782))+~P1(f318(f318(f225(a1),f318(f318(f3(a1),f318(f318(f73(a1),x93781),x93781)),a88)),f318(f318(f73(a1),x93782),x93782)))
% 202.84/202.77 [9380]P1(f318(f318(f226(a1),x93801),x93802))+~P1(f318(f318(f226(a1),f318(f318(f3(a1),f318(f318(f73(a1),x93801),x93801)),a88)),f318(f318(f73(a1),x93802),x93802)))
% 202.84/202.77 [10277]~P111(x102771)+E(f107(f921(x102771),f318(f120(f921(x102771)),f104(x102771)),f318(f318(f318(f85(f922(f921(x102771))),f318(f318(f226(a1),f2(a1)),x102772)),f318(f109(f926(x102771,f921(x102771)),f921(x102771),f122(x102771,f921(x102771),f123(x102771,f318(f318(f3(a1),x102772),f71(a1))),f123(f921(x102771),f318(f318(f3(a1),x102772),f71(a1))))),f318(f248(x102771,f921(x102771),f922(f921(x102771))),f318(f318(f10(f927(f921(x102771),f921(x102771)),f927(f921(x102771),f922(f921(x102771))),x102771),f318(f10(f921(x102771),f922(f921(x102771)),f921(x102771)),f120(f921(x102771)))),f142(x102771))))),f106(f921(x102771)))),f123(f921(x102771),x102772))
% 202.84/202.77 [10299]~P1(f318(f55(x102991),x102992))+E(f318(f180(f921(x102991)),f83(f921(x102991),f318(f318(f20(f921(x102991),a918,a918),f318(f318(f10(a918,f927(a918,a918),f921(x102991)),a316),f318(f318(f9(f921(x102991),f927(x102991,a918),a918),f318(f318(f10(f927(x102991,a918),f927(f927(x102991,a918),a918),f921(x102991)),a315),f163(x102991))),x102992))),f128(x102991)))),f205(x102991,x102992))
% 202.84/202.77 [6239]E(f318(f318(f73(a920),f318(f318(f3(a920),x62391),x62392)),x62392),x62391)+~P1(f318(f318(f225(a920),x62392),x62391))
% 202.84/202.77 [6312]E(f318(f318(f30(a920),f318(f318(f74(a920),x63121),x63122)),x63122),x63121)+~P1(f318(f318(f226(a920),f2(a920)),x63122))
% 202.84/202.77 [6313]E(f318(f318(f30(a920),f318(f318(f74(a920),x63131),x63132)),x63131),x63132)+~P1(f318(f318(f226(a920),f2(a920)),x63131))
% 202.84/202.77 [6317]~P83(x63171)+E(f318(f318(f8(a920,x63171),f318(f155(x63171),x63172)),f318(f293(a920,f2(a920)),f318(f180(f921(x63171)),x63172))),f318(f156(x63171),x63172))
% 202.84/202.77 [6429]E(f39(a920,f318(a103,f318(f318(f74(a920),x64291),x64292)),x64291),f71(a920))+~P1(f318(f318(f226(a920),f71(a920)),x64291))
% 202.84/202.77 [6435]E(f318(a103,f318(f318(f73(a920),f318(f94(a920),x64351)),x64352)),f318(f318(f73(a920),f71(a920)),x64352))+~P1(f318(a184,f318(f94(a1),x64351)))
% 202.84/202.77 [6464]E(f318(a95,f318(f318(f235(a1),f318(f94(a1),x64641)),x64642)),f318(f318(f235(a920),f318(f94(a920),x64641)),x64642))+P1(f318(a184,f318(f94(a1),x64641)))
% 202.84/202.77 [6709]E(f318(f318(f3(a920),x67091),f318(f94(a920),f318(f318(f73(a1),x67092),a88))),f318(f318(f3(a920),f318(a103,x67091)),f318(f94(a920),x67092)))+~P1(f318(f318(f226(a1),a76),x67092))
% 202.84/202.77 [6793]E(x67931,f2(a920))+E(f318(a103,f318(f318(f73(a920),f318(f318(f3(a920),x67931),f71(a920))),x67932)),f318(f318(f73(a920),x67931),x67932))
% 202.84/202.77 [6834]E(x68341,f2(a1))+P1(f318(f318(f226(a1),f2(a1)),f318(f318(f235(a1),f318(f69(a1),x68341)),x68342)))
% 202.84/202.77 [6850]~E(x68502,f2(a920))+P1(f318(f318(f226(a1),f2(a1)),f318(f318(f235(a1),f318(f69(a1),x68501)),x68502)))
% 202.84/202.77 [6889]E(x68891,f2(a920))+E(f318(f318(f73(a920),x68892),f318(f318(f74(a920),f318(f318(f3(a920),x68891),f71(a920))),x68892)),f318(f318(f74(a920),x68891),x68892))
% 202.84/202.77 [6938]~P1(f318(f318(f225(a1),x69381),x69382))+P1(f318(f318(f226(a1),f318(f318(f73(a1),x69381),a88)),x69382))
% 202.84/202.77 [7070]E(f318(f318(f142(a920),x70701),f130(a920,f318(f293(a920,f318(a103,x70701)),x70702))),f130(a920,f318(f293(a920,x70701),x70702)))+~P1(f318(f318(f226(a920),x70701),x70702))
% 202.84/202.77 [7273]E(x72731,x72732)+~E(f318(f318(f3(a1),f318(f318(f73(a1),x72731),x72731)),a88),f318(f318(f3(a1),f318(f318(f73(a1),x72732),x72732)),a88))
% 202.84/202.77 [7276]E(x72761,f104(x72762))+E(f257(x72762,f318(f318(f145(x72762,f926(a90,x72762)),f318(f243(a90,x72762),f71(a90))),x72761)),f266(x72762,x72761))
% 202.84/202.77 [7515]P1(f318(f318(f225(a1),x75151),x75152))+~P1(f318(f318(f226(a1),f318(f318(f73(a1),x75151),a88)),x75152))
% 202.84/202.77 [7983]~P1(f318(f318(f226(a920),x79831),x79832))+P1(f318(f318(f320(f926(a920,a920)),f318(f318(f243(a920,a920),x79831),x79832)),a231))
% 202.84/202.77 [8206]~P1(f318(f318(f226(a90),f2(a90)),x82061))+P1(f318(f318(f226(a90),f318(f242(a90,f926(a90,a90)),f318(f258(x82061),x82062))),x82061))
% 202.84/202.77 [8472]~P40(x84721,x84722)+P40(x84721,f318(f318(f101(f927(f926(x84721,x84721),a918)),x84722),f298(x84721,f179(f927(f926(x84721,x84721),a918)))))
% 202.84/202.77 [8473]~P41(x84731,x84732)+P41(x84731,f318(f318(f101(f927(f926(x84731,x84731),a918)),x84732),f298(x84731,f179(f927(f926(x84731,x84731),a918)))))
% 202.84/202.77 [8522]~P93(x85221)+P1(f318(f318(f225(x85221),f318(f69(x85221),f318(f156(x85221),x85222))),f318(f156(x85221),f318(f318(f145(x85221,x85221),f69(x85221)),x85222))))
% 202.84/202.77 [8547]P1(f318(f318(f226(a920),x85471),x85472))+~P1(f318(f318(f320(f926(a920,a920)),f318(f318(f243(a920,a920),x85471),x85472)),a231))
% 202.84/202.77 [8699]E(f318(f318(f243(x86991,x86991),f636(x86992,x86991)),f636(x86992,x86991)),x86992)+~P1(f318(f318(f320(f926(x86991,x86991)),x86992),f298(x86991,f179(f927(f926(x86991,x86991),a918)))))
% 202.84/202.77 [8742]E(f318(f293(a920,x87421),f318(f318(f73(a920),x87421),f318(f29(a920),x87422))),x87422)+~P1(f318(f318(f225(f927(a920,a918)),x87422),f318(f293(a920,x87421),f318(f318(f73(a920),x87421),f318(f29(a920),x87422)))))
% 202.84/202.77 [8974]P41(x89741,x89742)+~P41(x89741,f318(f318(f101(f927(f926(x89741,x89741),a918)),x89742),f298(x89741,f179(f927(f926(x89741,x89741),a918)))))
% 202.84/202.77 [9103]E(f318(f318(f30(a1),f318(f94(a1),f318(f318(f3(a1),f318(f318(f73(a1),x91031),x91031)),a88))),f318(f94(a1),f318(f318(f73(a1),x91032),x91032))),f318(f318(f30(a1),f318(f94(a1),x91031)),f318(f94(a1),x91032)))+~P1(f318(f318(f225(a1),f2(a1)),f318(f94(a1),x91032)))
% 202.84/202.77 [9194]~P40(x91941,x91942)+P1(f318(f318(f225(f927(f926(x91941,x91941),a918)),f318(f318(f280(x91941,x91941,x91941),x91942),x91942)),x91942))
% 202.84/202.77 [9220]E(f168(f921(x92201),f318(f318(f10(a918,a918,f921(x92201)),a313),f318(f318(f9(f921(x92201),f921(x92201),a918),a315),f104(x92201))),x92202),f170(x92201,f170(x92201,x92202)))+~P13(a920,f318(f159(a920),f318(f318(f145(f921(x92201),a920),f180(f921(x92201))),x92202)))
% 202.84/202.77 [9223]E(f318(f318(f30(a1),f318(f94(a1),f318(f318(f3(a1),f318(f318(f73(a1),x92231),x92231)),a88))),f318(f94(a1),f318(f318(f73(a1),x92232),x92232))),f318(f318(f30(a1),f318(f318(f73(a1),f318(f94(a1),x92231)),f71(a1))),f318(f94(a1),x92232)))+P1(f318(f318(f225(a1),f2(a1)),f318(f94(a1),x92232)))
% 202.84/202.77 [10074]P1(f318(a184,x100742))+E(f318(f318(f79(a1,a920),f318(f318(f3(a1),x100741),x100742)),f318(f318(f20(a1,a920,a920),f318(f318(f9(a1,a920,f927(a920,a920)),f318(f318(f10(a918,f927(a920,f927(a920,a920)),a1),f85(a920)),a184)),f2(a920))),a95)),f318(f318(f3(a920),f318(a95,x100741)),f318(a95,x100742)))
% 202.84/202.77 [10082]E(f318(f318(f79(a1,a920),f318(f94(a1),f318(f318(f73(a1),x100821),f318(f72(a1),x100822)))),f318(f318(f20(a1,a920,a920),f318(f318(f9(a1,a920,f927(a920,a920)),f318(f318(f10(a918,f927(a920,f927(a920,a920)),a1),f85(a920)),a184)),f2(a920))),a95)),f318(f318(f3(a920),f318(f94(a920),x100821)),f318(f94(a920),x100822)))+P1(f318(f318(f226(a1),x100822),a76))
% 202.84/202.77 [10083]~P27(x100831,x100832)+P1(f318(f318(f225(f927(f926(x100831,x100831),a918)),f318(f318(f280(x100831,x100831,x100831),f318(f242(f927(f926(x100831,x100831),a918),f927(f926(x100831,x100831),a918)),x100832)),f318(f247(f927(f926(x100831,x100831),a918),f927(f926(x100831,x100831),a918)),x100832))),f318(f242(f927(f926(x100831,x100831),a918),f927(f926(x100831,x100831),a918)),x100832)))
% 202.84/202.77 [10138]~E(f318(f29(a920),f318(f253(a920),f318(f318(f20(a920,a918,a918),f318(f318(f10(a918,f927(a918,a918),a920),a316),f318(f318(f9(a920,f927(a920,a918),a918),f320(a920)),x101381))),f318(f318(f9(a920,a920,a918),f226(a920)),f318(a103,x101382))))),f2(a920))+~P1(f318(f318(f320(a920),f2(a920)),x101381))
% 202.84/202.77 [10149]E(f290(a920,f318(f318(f20(a920,f927(a920,a918),f927(a920,a918)),f318(f318(f10(f927(a920,f927(a918,a918)),f927(f927(a920,a918),f927(a920,a918)),a920),f20(a920,a918,a918)),f318(f318(f10(f927(a920,a918),f927(a920,f927(a918,a918)),a920),f318(f10(a918,f927(a918,a918),a920),a316)),f278(a920)))),f318(f318(f10(f927(a920,a918),f927(a920,a918),a920),f318(f10(a918,a918,a920),a313)),f318(f9(a920,a920,a918),f278(a920)))),x101491,x101492),f179(f927(a920,a918)))+~P1(f318(f318(f278(a920),x101492),x101491))
% 202.84/202.77 [10154]E(f288(a920,f278(a920),f318(f318(f20(a920,f927(a920,a918),f927(a920,a918)),f318(f318(f10(f927(a920,f927(a918,a918)),f927(f927(a920,a918),f927(a920,a918)),a920),f20(a920,a918,a918)),f318(f318(f10(f927(a920,a918),f927(a920,f927(a918,a918)),a920),f318(f10(a918,f927(a918,a918),a920),a316)),f278(a920)))),f318(f318(f10(f927(a920,a918),f927(a920,a918),a920),f318(f10(a918,a918,a920),a313)),f318(f9(a920,a920,a918),f278(a920)))),x101541,x101542),f179(f927(a920,a918)))+P1(f318(f318(f278(a920),x101541),x101542))
% 202.84/202.77 [10155]E(f291(a920,f278(a920),f318(f318(f20(a920,f927(a920,a918),f927(a920,a918)),f318(f318(f10(f927(a920,f927(a918,a918)),f927(f927(a920,a918),f927(a920,a918)),a920),f20(a920,a918,a918)),f318(f318(f10(f927(a920,a918),f927(a920,f927(a918,a918)),a920),f318(f10(a918,f927(a918,a918),a920),a316)),f278(a920)))),f318(f318(f10(f927(a920,a918),f927(a920,a918),a920),f318(f10(a918,a918,a920),a313)),f318(f9(a920,a920,a918),f278(a920)))),x101551,x101552),f179(f927(a920,a918)))+P1(f318(f318(f278(a920),x101551),x101552))
% 202.84/202.77 [10159]E(f288(a920,f278(a920),f318(f318(f20(a920,f927(a920,a918),f927(a920,a918)),f318(f318(f10(f927(a920,f927(a918,a918)),f927(f927(a920,a918),f927(a920,a918)),a920),f20(a920,a918,a918)),f318(f318(f10(f927(a920,a918),f927(a920,f927(a918,a918)),a920),f318(f10(a918,f927(a918,a918),a920),a316)),f278(a920)))),f318(f318(f10(f927(a920,a918),f927(a920,a918),a920),f318(f10(a918,a918,a920),a313)),f318(f9(a920,a920,a918),f278(a920)))),x101591,x101592),f179(f927(a920,a918)))+~P1(f318(f318(f278(a920),x101592),x101591))
% 202.84/202.77 [10161]E(f291(a920,f278(a920),f318(f318(f20(a920,f927(a920,a918),f927(a920,a918)),f318(f318(f10(f927(a920,f927(a918,a918)),f927(f927(a920,a918),f927(a920,a918)),a920),f20(a920,a918,a918)),f318(f318(f10(f927(a920,a918),f927(a920,f927(a918,a918)),a920),f318(f10(a918,f927(a918,a918),a920),a316)),f278(a920)))),f318(f318(f10(f927(a920,a918),f927(a920,a918),a920),f318(f10(a918,a918,a920),a313)),f318(f9(a920,a920,a918),f278(a920)))),x101611,x101612),f179(f927(a920,a918)))+~P1(f318(f318(f278(a920),x101612),x101611))
% 202.84/202.77 [10204]E(f39(a1,f318(f94(a1),f318(f318(f3(a1),f318(f318(f73(a1),x102041),x102041)),a88)),f318(f94(a1),f318(f318(f73(a1),x102042),x102042))),f318(f318(f73(a1),f318(f318(f74(a1),f318(f94(a1),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))),f39(a1,f318(f94(a1),x102041),f318(f94(a1),x102042)))),f71(a1)))+~P1(f318(f318(f225(a1),f2(a1)),f318(f94(a1),x102042)))
% 202.84/202.77 [10213]E(f39(a1,f318(f94(a1),f318(f318(f3(a1),f318(f318(f73(a1),x102131),x102131)),a88)),f318(f94(a1),f318(f318(f73(a1),x102132),x102132))),f318(f318(f3(a1),f318(f318(f74(a1),f318(f94(a1),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))),f39(a1,f318(f318(f73(a1),f318(f94(a1),x102131)),f71(a1)),f318(f94(a1),x102132)))),f71(a1)))+P1(f318(f318(f225(a1),f2(a1)),f318(f94(a1),x102132)))
% 202.84/202.77 [10267]~P5(x102671)+E(f31(x102671,f318(f253(x102671),f318(f318(f10(f927(x102671,a918),a918,x102671),f81(x102671)),f318(f318(f10(f927(x102671,a918),f927(x102671,a918),x102671),f318(f20(x102671,a918,a918),f318(f318(f10(a918,f927(a918,a918),x102671),a321),f318(f318(f9(x102671,f927(x102671,a918),a918),f320(x102671)),x102672)))),f225(x102671))))),f32(x102671,x102672))
% 202.84/202.77 [10292]~P39(x102921,x102922)+P63(x102921,f318(f318(f9(x102921,f927(f926(x102921,x102921),a918),f927(x102921,a918)),f318(f318(f10(f927(x102921,f927(f927(f926(x102921,x102921),a918),a918)),f927(f927(f926(x102921,x102921),a918),f927(x102921,a918)),x102921),f9(x102921,f927(f926(x102921,x102921),a918),a918)),f318(f318(f10(f927(x102921,f926(x102921,x102921)),f927(x102921,f927(f927(f926(x102921,x102921),a918),a918)),x102921),f318(f10(f926(x102921,x102921),f927(f927(f926(x102921,x102921),a918),a918),x102921),f320(f926(x102921,x102921)))),f243(x102921,x102921)))),x102922))
% 202.84/202.77 [10293]~P8(x102931,f233(f927(x102931,a918)),x102932)+P7(x102931,f318(f318(f9(x102931,f927(f926(x102931,x102931),a918),f927(x102931,a918)),f318(f318(f10(f927(x102931,f927(f927(f926(x102931,x102931),a918),a918)),f927(f927(f926(x102931,x102931),a918),f927(x102931,a918)),x102931),f9(x102931,f927(f926(x102931,x102931),a918),a918)),f318(f318(f10(f927(x102931,f926(x102931,x102931)),f927(x102931,f927(f927(f926(x102931,x102931),a918),a918)),x102931),f318(f10(f926(x102931,x102931),f927(f927(f926(x102931,x102931),a918),a918),x102931),f320(f926(x102931,x102931)))),f243(x102931,x102931)))),x102932))
% 202.84/202.77 [10335]P39(x103351,x103352)+~P63(x103351,f318(f318(f9(x103351,f927(f926(x103351,x103351),a918),f927(x103351,a918)),f318(f318(f10(f927(x103351,f927(f927(f926(x103351,x103351),a918),a918)),f927(f927(f926(x103351,x103351),a918),f927(x103351,a918)),x103351),f9(x103351,f927(f926(x103351,x103351),a918),a918)),f318(f318(f10(f927(x103351,f926(x103351,x103351)),f927(x103351,f927(f927(f926(x103351,x103351),a918),a918)),x103351),f318(f10(f926(x103351,x103351),f927(f927(f926(x103351,x103351),a918),a918),x103351),f320(f926(x103351,x103351)))),f243(x103351,x103351)))),x103352))
% 202.84/202.77 [10336]P8(x103361,f233(f927(x103361,a918)),x103362)+~P7(x103361,f318(f318(f9(x103361,f927(f926(x103361,x103361),a918),f927(x103361,a918)),f318(f318(f10(f927(x103361,f927(f927(f926(x103361,x103361),a918),a918)),f927(f927(f926(x103361,x103361),a918),f927(x103361,a918)),x103361),f9(x103361,f927(f926(x103361,x103361),a918),a918)),f318(f318(f10(f927(x103361,f926(x103361,x103361)),f927(x103361,f927(f927(f926(x103361,x103361),a918),a918)),x103361),f318(f10(f926(x103361,x103361),f927(f927(f926(x103361,x103361),a918),a918),x103361),f320(f926(x103361,x103361)))),f243(x103361,x103361)))),x103362))
% 202.84/202.77 [7464]E(f318(f318(f73(a920),f318(f94(a920),f318(f318(f3(a1),x74641),a88))),x74642),f318(a103,f318(f318(f73(a920),f318(f94(a920),x74641)),x74642)))+P1(f318(a184,f318(f94(a1),x74641)))
% 202.84/202.77 [7901]~P100(x79011)+E(f318(f318(f73(x79011),f318(f318(f73(x79011),f71(x79011)),f318(f94(x79011),x79012))),f318(f94(x79011),x79012)),f318(f94(x79011),f318(f318(f3(a1),f318(f318(f73(a1),x79012),x79012)),a88)))
% 202.84/202.77 [8549]~P1(f318(f318(f225(a1),x85491),x85492))+P1(f318(f318(f225(a1),f318(f318(f73(a1),x85491),x85491)),f318(f318(f3(a1),f318(f318(f73(a1),x85492),x85492)),a88)))
% 202.84/202.77 [8551]~P1(f318(f318(f225(a1),x85511),x85512))+P1(f318(f318(f226(a1),f318(f318(f73(a1),x85511),x85511)),f318(f318(f3(a1),f318(f318(f73(a1),x85512),x85512)),a88)))
% 202.84/202.77 [8985]P1(f318(f318(f225(a1),x89851),x89852))+~P1(f318(f318(f225(a1),f318(f318(f73(a1),x89851),x89851)),f318(f318(f3(a1),f318(f318(f73(a1),x89852),x89852)),a88)))
% 202.84/202.77 [8987]P1(f318(f318(f225(a1),x89871),x89872))+~P1(f318(f318(f226(a1),f318(f318(f73(a1),x89871),x89871)),f318(f318(f3(a1),f318(f318(f73(a1),x89872),x89872)),a88)))
% 202.84/202.77 [9280]~P1(f318(f318(f225(a1),x92801),x92802))+P1(f318(f318(f225(a1),f318(f318(f3(a1),f318(f318(f73(a1),x92801),x92801)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),x92802),x92802)),a88)))
% 202.84/202.77 [9282]~P1(f318(f318(f226(a1),x92821),x92822))+P1(f318(f318(f226(a1),f318(f318(f3(a1),f318(f318(f73(a1),x92821),x92821)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),x92822),x92822)),a88)))
% 202.84/202.77 [9554]P1(f318(f318(f225(a1),x95541),x95542))+~P1(f318(f318(f225(a1),f318(f318(f3(a1),f318(f318(f73(a1),x95541),x95541)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),x95542),x95542)),a88)))
% 202.84/202.77 [9556]P1(f318(f318(f226(a1),x95561),x95562))+~P1(f318(f318(f226(a1),f318(f318(f3(a1),f318(f318(f73(a1),x95561),x95561)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),x95562),x95562)),a88)))
% 202.84/202.77 [9589]~P1(f318(f55(x95891),x95892))+P1(f318(f55(f927(x95891,a918)),f318(f253(f927(x95891,a918)),f318(f318(f9(f927(x95891,a918),f927(x95891,a918),a918),f225(f927(x95891,a918))),x95892))))
% 202.84/202.77 [9641]~E(f318(f276(f926(a920,a920),f926(a920,a920),a99),f318(f318(f300(f926(a920,a920)),x96411),f179(f927(f926(a920,a920),a918)))),f318(f276(f926(a920,a920),f926(a920,a920),a99),f318(f318(f300(f926(a920,a920)),x96412),f179(f927(f926(a920,a920),a918)))))+P1(f318(f318(f320(f926(f926(a920,a920),f926(a920,a920))),f318(f318(f243(f926(a920,a920),f926(a920,a920)),x96411),x96412)),a99))
% 202.84/202.77 [9728]E(f318(f276(f926(a920,a920),f926(a920,a920),a99),f318(f318(f300(f926(a920,a920)),x97281),f179(f927(f926(a920,a920),a918)))),f318(f276(f926(a920,a920),f926(a920,a920),a99),f318(f318(f300(f926(a920,a920)),x97282),f179(f927(f926(a920,a920),a918)))))+~P1(f318(f318(f320(f926(f926(a920,a920),f926(a920,a920))),f318(f318(f243(f926(a920,a920),f926(a920,a920)),x97281),x97282)),a99))
% 202.84/202.77 [9764]P1(f318(f318(f225(a1),f2(a1)),f648(x97641,x97642)))+E(f318(f253(a1),f318(f318(f20(a1,a918,a918),f318(f318(f10(a918,f927(a918,a918),a1),a316),f318(f225(a1),f2(a1)))),x97641)),f318(f253(a1),f318(f318(f20(a1,a918,a918),f318(f318(f10(a918,f927(a918,a918),a1),a316),f318(f225(a1),f2(a1)))),x97642)))
% 202.84/202.77 [10276]~P5(x102761)+E(f32(x102761,f318(f253(x102761),f318(f318(f10(f927(x102761,a918),a918,x102761),f81(x102761)),f318(f318(f10(f927(x102761,a918),f927(x102761,a918),x102761),f318(f20(x102761,a918,a918),f318(f318(f10(a918,f927(a918,a918),x102761),a321),f318(f318(f9(x102761,f927(x102761,a918),a918),f320(x102761)),x102762)))),f318(f9(x102761,x102761,a918),f225(x102761)))))),f31(x102761,x102762))
% 202.84/202.77 [10298]P1(f318(f318(f320(a920),f2(a920)),x102981))+E(f318(f29(a920),f318(f253(a920),f318(f318(f20(a920,a918,a918),f318(f318(f10(a918,f927(a918,a918),a920),a316),f318(f318(f9(a920,f927(a920,a918),a918),f318(f318(f10(a920,f927(f927(a920,a918),a918),a920),f320(a920)),a103)),x102981))),f318(f318(f9(a920,a920,a918),f226(a920)),x102982)))),f318(f29(a920),f318(f253(a920),f318(f318(f20(a920,a918,a918),f318(f318(f10(a918,f927(a918,a918),a920),a316),f318(f318(f9(a920,f927(a920,a918),a918),f320(a920)),x102981))),f318(f318(f9(a920,a920,a918),f226(a920)),f318(a103,x102982))))))
% 202.84/202.77 [7768]~P100(x77681)+E(f318(f318(f74(x77681),x77682),f318(f94(x77681),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88))),x77682)
% 202.84/202.77 [8032]~P100(x80321)+E(f318(f318(f73(x80321),f318(f94(x80321),x80322)),f71(x80321)),f318(f94(x80321),f318(f318(f73(a1),x80322),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88))))
% 202.84/202.77 [8177]P1(f318(f318(f225(a1),f2(a1)),f318(f94(a1),x81772)))+E(f318(f318(f235(a1),x81771),f318(f94(a920),f318(f318(f3(a1),f318(f318(f73(a1),x81772),x81772)),a88))),f71(a1))
% 202.84/202.77 [9616]~P1(f318(f318(f225(a1),f2(a1)),f318(f94(a1),x96162)))+E(f318(f318(f235(a1),x96161),f318(f94(a920),f318(f318(f3(a1),f318(f318(f73(a1),x96162),x96162)),a88))),f318(f318(f79(a1,a1),f318(f318(f235(a1),x96161),f318(f94(a920),x96162))),f318(f318(f20(a1,a1,a1),f318(f318(f10(a1,f927(a1,a1),a1),f74(a1)),f318(f74(a1),x96161))),f7(a1))))
% 202.84/202.77 [9990]~P1(f318(f318(f225(a920),f651(x99902,x99901)),f318(x99901,f651(x99902,x99901))))+P1(f318(f55(a920),f318(f253(a920),f318(f318(f9(a920,a920,a918),f318(f318(f10(a920,f927(a920,a918),a920),f225(a920)),x99901)),x99902))))
% 202.84/202.77 [10128]~P1(f318(f318(f225(a920),f318(f94(a920),x101281)),f318(a103,x101282)))+P1(f318(f318(f79(a1,a918),f318(f94(a1),f318(f318(f73(a1),x101281),a88))),f318(f318(f20(a1,a918,a918),f318(f318(f10(a918,f927(a918,a918),a1),a321),f318(f318(f10(a918,a918,a1),a313),a184))),f318(f318(f9(a1,a920,a918),f318(f318(f10(a920,f927(a920,a918),a1),f225(a920)),a95)),x101282))))
% 202.84/202.77 [10129]~P1(f318(f318(f226(a920),f318(f94(a920),x101291)),f318(a103,x101292)))+P1(f318(f318(f79(a1,a918),f318(f94(a1),f318(f318(f73(a1),x101291),a88))),f318(f318(f20(a1,a918,a918),f318(f318(f10(a918,f927(a918,a918),a1),a321),f318(f318(f10(a918,a918,a1),a313),a184))),f318(f318(f9(a1,a920,a918),f318(f318(f10(a920,f927(a920,a918),a1),f226(a920)),a95)),x101292))))
% 202.84/202.77 [10188]P1(f318(f318(f225(a920),f318(f94(a920),x101881)),f318(a103,x101882)))+~P1(f318(f318(f79(a1,a918),f318(f94(a1),f318(f318(f73(a1),x101881),a88))),f318(f318(f20(a1,a918,a918),f318(f318(f10(a918,f927(a918,a918),a1),a321),f318(f318(f10(a918,a918,a1),a313),a184))),f318(f318(f9(a1,a920,a918),f318(f318(f10(a920,f927(a920,a918),a1),f225(a920)),a95)),x101882))))
% 202.84/202.77 [10189]P1(f318(f318(f226(a920),f318(f94(a920),x101891)),f318(a103,x101892)))+~P1(f318(f318(f79(a1,a918),f318(f94(a1),f318(f318(f73(a1),x101891),a88))),f318(f318(f20(a1,a918,a918),f318(f318(f10(a918,f927(a918,a918),a1),a321),f318(f318(f10(a918,a918,a1),a313),a184))),f318(f318(f9(a1,a920,a918),f318(f318(f10(a920,f927(a920,a918),a1),f226(a920)),a95)),x101892))))
% 202.84/202.77 [10219]~P1(f318(f318(f225(a920),f318(a103,x102192)),f318(f94(a920),x102191)))+P1(f318(f318(f79(a1,a918),f318(f94(a1),f318(f318(f73(a1),x102191),a88))),f318(f318(f20(a1,a918,a918),f318(f318(f10(a918,f927(a918,a918),a1),a316),f318(f318(f10(a918,a918,a1),a313),a184))),f318(f318(f20(a1,a918,a918),f318(f318(f10(a918,f927(a918,a918),a1),a321),f318(f318(f10(a918,a918,a1),a313),a184))),f318(f318(f10(a920,a918,a1),f318(f225(a920),x102192)),a95)))))
% 202.84/202.77 [10220]~P1(f318(f318(f226(a920),f318(a103,x102202)),f318(f94(a920),x102201)))+P1(f318(f318(f79(a1,a918),f318(f94(a1),f318(f318(f73(a1),x102201),a88))),f318(f318(f20(a1,a918,a918),f318(f318(f10(a918,f927(a918,a918),a1),a316),f318(f318(f10(a918,a918,a1),a313),a184))),f318(f318(f20(a1,a918,a918),f318(f318(f10(a918,f927(a918,a918),a1),a321),f318(f318(f10(a918,a918,a1),a313),a184))),f318(f318(f10(a920,a918,a1),f318(f226(a920),x102202)),a95)))))
% 202.84/202.77 [10265]P1(f318(f318(f225(a920),f318(a103,x102651)),f318(f94(a920),x102652)))+~P1(f318(f318(f79(a1,a918),f318(f94(a1),f318(f318(f73(a1),x102652),a88))),f318(f318(f20(a1,a918,a918),f318(f318(f10(a918,f927(a918,a918),a1),a316),f318(f318(f10(a918,a918,a1),a313),a184))),f318(f318(f20(a1,a918,a918),f318(f318(f10(a918,f927(a918,a918),a1),a321),f318(f318(f10(a918,a918,a1),a313),a184))),f318(f318(f10(a920,a918,a1),f318(f225(a920),x102651)),a95)))))
% 202.84/202.77 [10266]P1(f318(f318(f226(a920),f318(a103,x102661)),f318(f94(a920),x102662)))+~P1(f318(f318(f79(a1,a918),f318(f94(a1),f318(f318(f73(a1),x102662),a88))),f318(f318(f20(a1,a918,a918),f318(f318(f10(a918,f927(a918,a918),a1),a316),f318(f318(f10(a918,a918,a1),a313),a184))),f318(f318(f20(a1,a918,a918),f318(f318(f10(a918,f927(a918,a918),a1),a321),f318(f318(f10(a918,a918,a1),a313),a184))),f318(f318(f10(a920,a918,a1),f318(f226(a920),x102661)),a95)))))
% 202.84/202.77 [10345]~P1(f318(f318(f320(a920),f2(a920)),x103451))+E(f318(a103,f318(f29(a920),f318(f253(a920),f318(f318(f20(a920,a918,a918),f318(f318(f10(a918,f927(a918,a918),a920),a316),f318(f318(f9(a920,f927(a920,a918),a918),f318(f318(f10(a920,f927(f927(a920,a918),a918),a920),f320(a920)),a103)),x103451))),f318(f318(f9(a920,a920,a918),f226(a920)),x103452))))),f318(f29(a920),f318(f253(a920),f318(f318(f20(a920,a918,a918),f318(f318(f10(a918,f927(a918,a918),a920),a316),f318(f318(f9(a920,f927(a920,a918),a918),f320(a920)),x103451))),f318(f318(f9(a920,a920,a918),f226(a920)),f318(a103,x103452))))))
% 202.84/202.77 [8725]~P100(x87251)+E(f318(f318(f74(x87251),f318(f94(x87251),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88))),x87252),x87252)
% 202.84/202.77 [8787]~P100(x87871)+E(f318(f318(f73(x87871),f71(x87871)),f318(f94(x87871),x87872)),f318(f94(x87871),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),x87872)))
% 202.84/202.77 [8849]~P100(x88491)+E(f318(f318(f3(x88491),f318(f94(x88491),x88492)),f71(x88491)),f318(f94(x88491),f318(f318(f73(a1),x88492),f318(f72(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))))
% 202.84/202.77 [9004]~P1(f318(f318(f226(a920),f318(f94(a920),a76)),x90042))+E(f318(f318(f3(a920),x90041),f318(f318(f3(a920),x90042),f318(f94(a920),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))),f318(f318(f3(a920),f318(a103,x90041)),x90042))
% 202.84/202.77 [9659]~P118(x96591)+E(f318(f318(f74(x96591),x96592),x96592),f318(f318(f235(x96591),x96592),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))))
% 202.84/202.77 [9660]~P90(x96601)+E(f318(f318(f235(x96601),x96602),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))),f318(f318(f74(x96601),x96602),x96602))
% 202.84/202.77 [9662]~P100(x96621)+E(f318(f318(f74(x96621),x96622),f318(f94(x96621),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))),f318(f318(f73(x96621),x96622),x96622))
% 202.84/202.77 [9905]~P146(x99051)+E(f318(f318(f235(x99051),f318(f72(x99051),x99052)),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))),f318(f318(f235(x99051),x99052),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))))
% 202.84/202.77 [9906]~P116(x99061)+E(f318(f318(f235(x99061),f318(f69(x99061),x99062)),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))),f318(f318(f235(x99061),x99062),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))))
% 202.84/202.77 [9902]~P100(x99021)+E(f318(f318(f74(x99021),f318(f94(x99021),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))),x99022),f318(f318(f73(x99021),x99022),x99022))
% 202.84/202.77 [10026]~P116(x100261)+E(f318(f69(x100261),f318(f318(f235(x100261),x100262),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88))))),f318(f318(f235(x100261),x100262),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))))
% 202.84/202.77 [10090]~P116(x100901)+P1(f318(f318(f225(x100901),f2(x100901)),f318(f318(f235(x100901),x100902),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88))))))
% 202.84/202.77 [10256]~E(f318(a103,x102562),f318(f94(a920),x102561))+P1(f318(f318(f79(a1,a918),f318(f94(a1),f318(f318(f73(a1),x102561),a88))),f318(f318(f20(a1,a918,a918),f318(f318(f10(a918,f927(a918,a918),a1),a316),f318(f318(f10(a918,a918,a1),a313),a184))),f318(f318(f20(a1,a918,a918),f318(f318(f10(a918,f927(a918,a918),a1),a321),f318(f318(f10(a918,a918,a1),a313),a184))),f318(f318(f9(a1,a920,a918),f318(f318(f10(a920,f927(a920,a918),a1),a315),a95)),x102562)))))
% 202.84/202.77 [10257]~E(f318(f94(a920),x102571),f318(a103,x102572))+P1(f318(f318(f79(a1,a918),f318(f94(a1),f318(f318(f73(a1),x102571),a88))),f318(f318(f20(a1,a918,a918),f318(f318(f10(a918,f927(a918,a918),a1),a316),f318(f318(f10(a918,a918,a1),a313),a184))),f318(f318(f20(a1,a918,a918),f318(f318(f10(a918,f927(a918,a918),a1),a321),f318(f318(f10(a918,a918,a1),a313),a184))),f318(f318(f9(a1,a920,a918),f318(f318(f10(a920,f927(a920,a918),a1),a315),a95)),x102572)))))
% 202.84/202.77 [10301]E(f318(a103,x103011),f318(f94(a920),x103012))+~P1(f318(f318(f79(a1,a918),f318(f94(a1),f318(f318(f73(a1),x103012),a88))),f318(f318(f20(a1,a918,a918),f318(f318(f10(a918,f927(a918,a918),a1),a316),f318(f318(f10(a918,a918,a1),a313),a184))),f318(f318(f20(a1,a918,a918),f318(f318(f10(a918,f927(a918,a918),a1),a321),f318(f318(f10(a918,a918,a1),a313),a184))),f318(f318(f9(a1,a920,a918),f318(f318(f10(a920,f927(a920,a918),a1),a315),a95)),x103011)))))
% 202.84/202.77 [10302]E(f318(f94(a920),x103021),f318(a103,x103022))+~P1(f318(f318(f79(a1,a918),f318(f94(a1),f318(f318(f73(a1),x103021),a88))),f318(f318(f20(a1,a918,a918),f318(f318(f10(a918,f927(a918,a918),a1),a316),f318(f318(f10(a918,a918,a1),a313),a184))),f318(f318(f20(a1,a918,a918),f318(f318(f10(a918,f927(a918,a918),a1),a321),f318(f318(f10(a918,a918,a1),a313),a184))),f318(f318(f9(a1,a920,a918),f318(f318(f10(a920,f927(a920,a918),a1),a315),a95)),x103022)))))
% 202.84/202.77 [10346]~P16(x103461,x103462)+P1(f318(f318(f320(f927(x103461,a918)),f815(x103462,x103461)),f318(f318(f10(f927(x103461,a918),a918,f927(x103461,a918)),f80(x103461)),f318(f318(f10(f927(x103461,a918),f927(x103461,a918),f927(x103461,a918)),f318(f20(x103461,a918,a918),f318(f318(f10(a918,f927(a918,a918),x103461),a316),f318(f318(f20(x103461,x103461,a918),x103462),f7(x103461))))),f318(f318(f9(f927(x103461,a918),f927(x103461,f927(x103461,a918)),f927(x103461,a918)),f318(f318(f10(f927(f927(x103461,a918),a918),f927(f927(x103461,f927(x103461,a918)),f927(x103461,a918)),f927(x103461,a918)),f10(f927(x103461,a918),a918,x103461)),a315)),x103462)))))
% 202.84/202.77 [10088]~P100(x100881)+E(f318(f318(f235(x100881),f318(f94(x100881),a88)),f318(f318(f74(a920),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))),x100882)),f71(x100881))
% 202.84/202.77 [10089]~P146(x100891)+E(f318(f318(f235(x100891),f318(f72(x100891),f71(x100891))),f318(f318(f74(a920),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))),x100892)),f71(x100891))
% 202.84/202.77 [10092]~P90(x100921)+E(f318(f318(f235(x100921),x100922),f318(f94(a920),f318(f318(f3(a1),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88))),a88))),f318(f318(f74(x100921),f318(f318(f74(x100921),x100922),x100922)),x100922))
% 202.84/202.77 [10281]~P1(f318(f318(f225(a1),f2(a1)),x102812))+E(f39(a1,f318(f318(f73(a1),f71(a1)),f318(f318(f74(a1),f318(f94(a1),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))),x102811)),f318(f318(f74(a1),f318(f94(a1),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))),x102812)),f318(f318(f73(a1),f71(a1)),f318(f318(f74(a1),f318(f94(a1),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))),f39(a1,x102811,x102812))))
% 202.84/202.77 [10304]~P1(f318(f318(f225(a1),f2(a1)),x103042))+E(f318(f318(f30(a1),f318(f318(f73(a1),f71(a1)),f318(f318(f74(a1),f318(f94(a1),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))),x103041))),f318(f318(f74(a1),f318(f94(a1),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))),x103042)),f318(f318(f30(a1),x103041),x103042))
% 202.84/202.77 [10306]~P1(f318(f318(f225(a1),x103062),f2(a1)))+E(f318(f318(f30(a1),f318(f318(f73(a1),f71(a1)),f318(f318(f74(a1),f318(f94(a1),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))),x103061))),f318(f318(f74(a1),f318(f94(a1),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))),x103062)),f318(f318(f30(a1),f318(f318(f73(a1),x103061),f71(a1))),x103062))
% 202.84/202.77 [10307]~P1(f318(f318(f225(a1),x103072),f2(a1)))+E(f39(a1,f318(f318(f73(a1),f71(a1)),f318(f318(f74(a1),f318(f94(a1),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))),x103071)),f318(f318(f74(a1),f318(f94(a1),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))),x103072)),f318(f318(f3(a1),f318(f318(f74(a1),f318(f94(a1),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))),f39(a1,f318(f318(f73(a1),x103071),f71(a1)),x103072))),f71(a1)))
% 202.84/202.77 [10179]~P100(x101791)+E(f318(f318(f235(x101791),f318(f94(x101791),a88)),f318(a103,f318(f318(f74(a920),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))),x101792))),f318(f94(x101791),a88))
% 202.84/202.77 [10181]~P146(x101811)+E(f318(f318(f235(x101811),f318(f72(x101811),f71(x101811))),f318(a103,f318(f318(f74(a920),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))),x101812))),f318(f72(x101811),f71(x101811)))
% 202.84/202.77 [5095]P40(x50951,x50952)+~P8(x50951,x50953,x50952)
% 202.84/202.77 [5097]P55(x50971,x50972)+~P8(x50971,x50973,x50972)
% 202.84/202.77 [5271]~P8(x52711,x52712,x52713)+P56(x52711,x52712,x52713)
% 202.84/202.77 [8244]~E(x82442,x82443)+P36(x82441,x82441,a315,x82442,x82443)
% 202.84/202.77 [8800]E(x88001,x88002)+~P36(x88003,x88003,a315,x88001,x88002)
% 202.84/202.77 [4902]E(f160(x49021,x49022,x49023),f104(x49021))+~E(x49022,f2(a920))
% 202.84/202.77 [5070]~E(f160(x50702,x50701,x50703),f104(x50702))+E(x50701,f2(a920))
% 202.84/202.77 [5276]~P39(x52761,x52763)+P39(x52761,f312(x52761,x52762,x52763))
% 202.84/202.77 [5388]~P31(x53881,x53882,x53883)+P33(a1,x53881,f169(x53882,x53883))
% 202.84/202.77 [5437]P28(x54371,x54372,x54373)+~P28(x54371,f318(a103,x54372),x54373)
% 202.84/202.77 [5456]P31(x54561,x54562,x54563)+~P33(a1,x54561,f169(x54562,x54563))
% 202.84/202.77 [5527]~P8(x55271,x55272,x55273)+P8(f921(x55271),f152(x55271,x55272),f149(x55271,x55273))
% 202.84/202.77 [5528]~P56(x55281,x55282,x55283)+P56(f921(x55281),f152(x55281,x55282),f149(x55281,x55283))
% 202.84/202.77 [5639]P58(x56391,x56392,x56393)+~E(f599(x56393,x56392,x56391),f600(x56393,x56392,x56391))
% 202.84/202.77 [5640]P59(x56401,x56402,x56403)+~E(f621(x56403,x56402,x56401),f622(x56403,x56402,x56401))
% 202.84/202.77 [6611]P29(x66111,x66112,x66113)+~P28(x66111,f625(x66113,x66112,x66111),f771(x66113,x66112,x66111))
% 202.84/202.77 [8250]~E(x82502,x82503)+P26(x82501,x82501,f25(x82501),x82502,x82503)
% 202.84/202.77 [8808]E(x88081,x88082)+~P26(x88083,x88083,f25(x88083),x88081,x88082)
% 202.84/202.77 [4857]~E(f318(f159(x48572),x48571),x48573)+E(x48571,f318(f159(x48572),x48573))
% 202.84/202.77 [4858]~E(x48582,f318(f159(x48581),x48583))+E(f318(f159(x48581),x48582),x48583)
% 202.84/202.77 [4908]E(x49081,x49082)+~E(f318(f159(x49083),x49081),f318(f159(x49083),x49082))
% 202.84/202.77 [5121]~P7(x51213,x51211)+P1(f318(f318(x51211,x51212),x51212))
% 202.84/202.77 [5122]~P51(x51223,x51221)+P1(f318(f318(x51221,x51222),x51222))
% 202.84/202.77 [5124]~P63(x51241,x51242)+P1(f318(f306(x51241,x51242),x51243))
% 202.84/202.77 [5188]~P39(x51881,x51882)+P39(f921(x51881),f318(f134(x51881,x51882),x51883))
% 202.84/202.77 [5193]~P1(f318(x51932,x51933))+~E(f318(f253(x51931),x51932),f179(f927(x51931,a918)))
% 202.84/202.77 [5194]~P1(f318(x51942,x51943))+~E(f179(f927(x51941,a918)),f318(f253(x51941),x51942))
% 202.84/202.77 [5206]E(x52061,f2(a920))+E(f135(x52062,f160(x52062,x52061,x52063)),x52063)
% 202.84/202.77 [5225]~P1(f318(x52251,x52253))+P1(f318(x52251,f83(x52252,x52251)))
% 202.84/202.77 [5226]~P1(f318(x52261,x52263))+P1(f318(x52261,f741(x52261,x52262)))
% 202.84/202.77 [5238]E(x52381,f2(a920))+E(f318(f132(x52382),f160(x52382,x52381,x52383)),x52383)
% 202.84/202.77 [5351]~E(x53512,x53513)+P1(f318(f318(f320(x53511),x53512),f318(a315,x53513)))
% 202.84/202.77 [5366]~E(x53662,f2(a920))+E(f318(f163(x53661),f160(x53661,x53662,x53663)),f179(f927(x53661,a918)))
% 202.84/202.77 [5410]E(f318(f159(x54101),x54102),f318(f318(f142(x54101),x54103),f104(x54101)))+~E(x54102,f318(f318(f142(x54101),x54103),f104(x54101)))
% 202.84/202.77 [5411]~E(x54113,f318(f318(f142(x54111),x54112),f104(x54111)))+E(f318(f318(f142(x54111),x54112),f104(x54111)),f318(f159(x54111),x54113))
% 202.84/202.77 [5452]~P35(x54521,x54522,x54523)+P35(x54521,x54522,f318(f159(x54521),x54523))
% 202.84/202.77 [5453]~P33(x54531,x54532,x54533)+P33(x54531,x54532,f318(f159(x54531),x54533))
% 202.84/202.77 [5457]E(f318(f29(x54571),f340(x54572,x54573,x54571)),x54572)+~E(f318(f29(x54571),x54573),f318(a103,x54572))
% 202.84/202.77 [5464]~P39(x54641,x54643)+P1(f318(f318(f320(x54641),x54642),f307(x54641,x54643)))
% 202.84/202.77 [5468]~E(f318(f159(x54682),x54681),f318(f318(f142(x54682),x54683),f104(x54682)))+E(x54681,f318(f318(f142(x54682),x54683),f104(x54682)))
% 202.84/202.77 [5469]~E(f318(f318(f142(x54692),x54693),f104(x54692)),f318(f159(x54692),x54691))+E(x54691,f318(f318(f142(x54692),x54693),f104(x54692)))
% 202.84/202.77 [5492]E(f78(f926(a920,a920),f42(x54921,x54922)),x54923)+~P1(f318(f42(x54921,x54922),x54923))
% 202.84/202.77 [5531]P35(x55311,x55312,x55313)+~P35(x55311,x55312,f318(f159(x55311),x55313))
% 202.84/202.77 [5532]P33(x55321,x55322,x55323)+~P33(x55321,x55322,f318(f159(x55321),x55323))
% 202.84/202.77 [5570]P1(f318(f318(x55701,x55702),x55702))+~P1(f318(f261(x55703,x55701),x55702))
% 202.84/202.77 [5571]~P1(f318(f318(x55712,x55713),x55713))+P1(f318(f261(x55711,x55712),x55713))
% 202.84/202.77 [5593]~E(x55932,f104(x55931))+P1(f318(f318(f320(f921(x55931)),x55932),f152(x55931,x55933)))
% 202.84/202.77 [5602]~P56(x56021,x56022,x56023)+P56(x56021,x56022,f318(f277(x56021,x56021),x56023))
% 202.84/202.77 [5603]~P59(x56031,x56032,x56033)+P59(x56031,x56032,f318(f277(x56031,x56031),x56033))
% 202.84/202.77 [5620]~P70(x56201)+E(f39(x56201,f39(x56201,x56202,x56203),x56203),f39(x56201,x56202,x56203))
% 202.84/202.77 [5721]E(x57211,x57212)+~P1(f318(f318(f320(x57213),x57211),f318(a315,x57212)))
% 202.84/202.77 [5769]~P115(x57691)+E(f181(x57691,x57692,f2(a920),x57693),x57693)
% 202.84/202.77 [5791]P56(x57911,x57912,x57913)+~P56(x57911,x57912,f318(f277(x57911,x57911),x57913))
% 202.84/202.77 [5792]P59(x57921,x57922,x57923)+~P59(x57921,x57922,f318(f277(x57921,x57921),x57923))
% 202.84/202.77 [5796]~P4(x57962)+E(f141(x57961,x57962,x57963,f104(x57961)),f104(x57961))
% 202.84/202.77 [5809]E(f161(x58091,x58092,f143(x58091,x58093)),f143(x58091,f161(x58091,x58092,x58093)))+~P1(f318(f128(x58091),x58093))
% 202.84/202.77 [5908]~P1(f318(f318(x59083,x59082),x59082))+P1(f318(f318(f320(x59081),x59082),f261(x59081,x59083)))
% 202.84/202.77 [5910]E(f318(f127(x59101,x59102),x59103),f104(x59101))+P1(f318(x59102,f700(x59103,x59102,x59101)))
% 202.84/202.77 [5969]E(f62(x59691,x59692,x59693),x59692)+P1(f318(x59693,f742(x59692,x59691,x59693)))
% 202.84/202.77 [6067]~P1(f318(f128(x60671),x60672))+P1(f318(f128(x60671),f167(x60671,x60672,x60673)))
% 202.84/202.77 [6068]~P1(f318(f128(x60681),x60683))+P1(f318(f128(x60681),f161(x60681,x60682,x60683)))
% 202.84/202.77 [6069]~P1(f318(f128(x60691),x60693))+P1(f318(f128(x60691),f168(x60691,x60692,x60693)))
% 202.84/202.77 [6070]~P1(f318(f128(x60701),x60703))+P1(f318(f128(x60701),f131(x60701,x60702,x60703)))
% 202.84/202.77 [6071]~P151(x60711,x60712,x60713)+P1(f318(x60711,f39(a1,x60712,x60713)))
% 202.84/202.77 [6087]~P35(x60873,x60871,x60872)+P1(f318(x60871,f759(x60872,x60871,x60873)))
% 202.84/202.77 [6088]~P37(x60883,x60881,x60882)+P1(f318(x60881,f769(x60882,x60881,x60883)))
% 202.84/202.77 [6089]~P37(x60893,x60891,x60892)+P1(f318(x60891,f772(x60892,x60891,x60893)))
% 202.84/202.77 [6090]~P35(x60903,x60901,x60902)+P1(f318(x60901,f798(x60901,x60902,x60903)))
% 202.84/202.77 [6091]~P35(x60913,x60911,x60912)+P1(f318(x60911,f799(x60912,x60911,x60913)))
% 202.84/202.77 [6096]P1(f318(f318(x60961,x60962),x60962))+~P1(f318(f318(f320(x60963),x60962),f261(x60963,x60961)))
% 202.84/202.77 [6111]E(f318(f127(x61111,x61112),x61113),f168(x61111,x61112,x61113))+P1(f318(x61112,f726(x61113,x61112,x61111)))
% 202.84/202.77 [6153]~P1(f318(f128(x61531),x61533))+P1(f318(f128(f921(x61531)),f49(x61531,x61532,x61533)))
% 202.84/202.77 [6190]~P113(x61901)+E(f318(f318(f92(f927(x61901,a918)),f318(f273(x61901),x61902)),f294(x61901,x61902,x61903)),f179(f927(x61901,a918)))
% 202.84/202.77 [6191]~P113(x61911)+E(f318(f318(f92(f927(x61911,a918)),f318(f292(x61911),x61912)),f297(x61911,x61912,x61913)),f179(f927(x61911,a918)))
% 202.84/202.77 [6192]~P113(x61921)+E(f318(f318(f92(f927(x61921,a918)),f318(f292(x61921),x61922)),f296(x61921,x61922,x61923)),f179(f927(x61921,a918)))
% 202.84/202.77 [6424]E(f318(f127(x64241,x64242),x64243),x64243)+~P1(f318(x64242,f701(x64243,x64242,x64241)))
% 202.84/202.77 [6426]E(f318(f318(f300(x64261),f342(x64262,x64263,x64261)),f340(x64262,x64263,x64261)),x64263)+~E(f318(f29(x64261),x64263),f318(a103,x64262))
% 202.84/202.77 [6442]P151(x64421,x64422,x64423)+~P1(f318(x64421,f39(a1,x64422,x64423)))
% 202.84/202.77 [6493]P32(x64931,x64932,x64933)+~P1(f318(x64931,f865(x64933,x64932,x64931)))
% 202.84/202.77 [6494]P33(x64941,x64942,x64943)+~P1(f318(x64942,f762(x64943,x64942,x64941)))
% 202.84/202.77 [6495]P33(x64951,x64952,x64953)+~P1(f318(x64952,f768(x64952,x64953,x64951)))
% 202.84/202.77 [6496]P33(x64961,x64962,x64963)+~P1(f318(x64962,f770(x64963,x64962,x64961)))
% 202.84/202.77 [6497]P31(x64971,x64972,x64973)+~P1(f318(x64971,f787(x64973,x64972,x64971)))
% 202.84/202.77 [6499]E(f168(x64991,x64992,x64993),x64993)+~P1(f318(x64992,f721(x64993,x64992,x64991)))
% 202.84/202.77 [6580]~P1(f318(x65802,f469(x65803,x65802,x65801)))+P1(f318(f239(x65801,x65802),x65803))
% 202.84/202.77 [6581]~P1(f318(x65812,f690(x65813,x65812,x65811)))+P1(f318(f151(x65811,x65812),x65813))
% 202.84/202.77 [6835]~P1(f318(f306(x68351,x68352),f501(x68353,x68352,x68351)))+P1(f318(f306(x68351,x68352),x68353))
% 202.84/202.77 [6836]~P1(f318(f306(x68361,x68362),f502(x68363,x68362,x68361)))+P1(f318(f306(x68361,x68362),x68363))
% 202.84/202.77 [7465]~P70(x74651)+E(f318(f318(f73(x74651),f318(f318(f74(x74651),x74652),f318(f318(f30(x74651),x74653),x74652))),f39(x74651,x74653,x74652)),x74653)
% 202.84/202.77 [7495]P31(x74951,x74952,x74953)+P1(f318(f318(f320(a1),f787(x74953,x74952,x74951)),f294(a1,x74952,x74953)))
% 202.84/202.77 [7922]E(f318(f318(f243(x79221,x79221),f536(x79222,x79223,x79221)),f536(x79222,x79223,x79221)),x79223)+~P1(f318(f318(f320(f926(x79221,x79221)),x79223),f254(x79221,x79222)))
% 202.84/202.77 [8040]~P1(f318(f318(f320(x80401),f542(x80403,x80402,x80401)),f307(x80401,x80403)))+P1(f318(f318(f320(x80401),x80402),f307(x80401,x80403)))
% 202.84/202.77 [8041]~P1(f318(f318(f320(x80411),f605(x80413,x80412,x80411)),f307(x80411,x80413)))+P1(f318(f318(f320(x80411),x80412),f307(x80411,x80413)))
% 202.84/202.77 [8042]~P1(f318(f318(f320(x80421),f607(x80423,x80422,x80421)),f307(x80421,x80423)))+P1(f318(f318(f320(x80421),x80422),f307(x80421,x80423)))
% 202.84/202.77 [8136]P35(a1,x81361,f169(x81362,x81363))+P31(f318(f66(a918,a918,a1,a313),x81361),x81362,x81363)
% 202.84/202.77 [8225]~P70(x82251)+E(f318(f318(f73(x82251),f318(f318(f74(x82251),f318(f318(f30(x82251),x82252),x82253)),x82253)),f39(x82251,x82252,x82253)),x82252)
% 202.84/202.77 [8272]~E(f318(f29(x82721),x82722),f318(a103,x82723))+~P1(f318(f318(f320(x82721),f342(x82723,x82722,x82721)),f340(x82723,x82722,x82721)))
% 202.84/202.77 [8717]~P35(a1,x87171,f169(x87172,x87173))+~P31(f318(f66(a918,a918,a1,a313),x87171),x87172,x87173)
% 202.84/202.77 [8905]P1(f318(f318(f225(f927(f926(x89051,x89051),a918)),f298(x89051,x89052)),f298(x89051,x89053)))+~P1(f318(f318(f225(f927(f926(x89051,x89051),a918)),x89052),f298(x89051,x89053)))
% 202.84/202.77 [9190]E(x91901,f104(x91902))+~P1(f318(f318(f320(f926(f921(x91902),f921(x91902))),f318(f318(f243(f921(x91902),f921(x91902)),x91901),f104(x91902))),f149(x91902,x91903)))
% 202.84/202.77 [9214]E(x92141,f104(x92142))+~P1(f318(f318(f320(f926(f921(x92142),f921(x92142))),f318(f318(f243(f921(x92142),f921(x92142)),f104(x92142)),x92141)),f149(x92142,x92143)))
% 202.84/202.77 [9340]E(f318(f318(f142(x93401),f694(x93402,x93403,x93401)),f695(x93402,x93403,x93401)),x93403)+~P1(f318(f318(f320(f926(f921(x93401),f921(x93401))),f318(f318(f243(f921(x93401),f921(x93401)),f104(x93401)),x93403)),f138(x93401,x93402)))
% 202.84/202.77 [9582]~P132(x95821)+~P1(f318(f318(f226(x95821),f318(f318(f73(x95821),f318(f318(f74(x95821),x95822),x95822)),f318(f318(f74(x95821),x95823),x95823))),f2(x95821)))
% 202.84/202.77 [9634]P1(f318(f55(x96341),x96342))+~P1(f318(f318(f320(f926(f927(x96341,a918),f927(x96341,a918))),f318(f318(f243(f927(x96341,a918),f927(x96341,a918)),x96343),x96342)),f305(x96341)))
% 202.84/202.77 [9932]~P49(x99321,x99322,x99323)+P1(f318(f318(f225(a1),f318(f318(f66(f926(a1,a1),a1,x99321,f242(a1,a1)),f203(x99321)),f221(x99321,x99322,f218(x99321,x99323)))),f2(a1)))
% 202.84/202.77 [9933]~P50(x99331,x99332,x99333)+P1(f318(f318(f226(a1),f318(f318(f66(f926(a1,a1),a1,x99331,f242(a1,a1)),f203(x99331)),f221(x99331,x99332,f218(x99331,x99333)))),f2(a1)))
% 202.84/202.77 [10056]P50(x100561,x100562,x100563)+~P1(f318(f318(f226(a1),f318(f318(f66(f926(a1,a1),a1,x100561,f242(a1,a1)),f203(x100561)),f221(x100561,x100562,f218(x100561,x100563)))),f2(a1)))
% 202.84/202.77 [10057]P49(x100571,x100572,x100573)+~P1(f318(f318(f225(a1),f318(f318(f66(f926(a1,a1),a1,x100571,f242(a1,a1)),f203(x100571)),f221(x100571,x100572,f218(x100571,x100573)))),f2(a1)))
% 202.84/202.77 [10405]~P116(x104051)+~P1(f318(f318(f226(x104051),f318(f318(f73(x104051),f318(f318(f235(x104051),x104052),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88))))),f318(f318(f235(x104051),x104053),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))))),f2(x104051)))
% 202.84/202.77 [4887]~E(x48873,f104(x48871))+E(f318(f318(f125(x48871),x48872),x48873),x48872)
% 202.84/202.77 [4888]~E(x48882,f104(x48881))+E(f318(f318(f125(x48881),x48882),x48883),x48883)
% 202.84/202.77 [4894]~E(x48942,f2(a920))+E(f318(f318(f166(x48941),x48942),x48943),f104(x48941))
% 202.84/202.77 [4903]~E(x49033,f104(x49031))+E(f318(f318(f166(x49031),x49032),x49033),f104(x49031))
% 202.84/202.77 [4942]~E(x49421,x49423)+E(x49421,f318(f318(f125(x49422),f104(x49422)),x49423))
% 202.84/202.77 [5032]~P114(x50322)+E(f318(f233(f927(x50321,x50322)),x50323),f233(x50322))
% 202.84/202.77 [5034]~P64(x50342)+E(f318(f179(f927(x50341,x50342)),x50343),f179(x50342))
% 202.84/202.77 [5052]E(x50521,f104(x50522))+~E(f318(f318(f125(x50522),x50523),x50521),x50523)
% 202.84/202.77 [5053]E(x50531,f104(x50532))+~E(f318(f318(f125(x50532),x50531),x50533),x50533)
% 202.84/202.77 [5061]E(x50611,f104(x50612))+~E(f318(f318(f125(x50612),x50613),x50611),f104(x50612))
% 202.84/202.77 [5062]E(x50621,f104(x50622))+~E(f318(f318(f125(x50622),x50621),x50623),f104(x50622))
% 202.84/202.77 [5087]~E(x50872,f2(a920))+E(f318(f318(f74(a920),x50871),x50872),f318(f318(f74(a920),x50873),x50872))
% 202.84/202.77 [5089]~E(x50891,f2(a920))+E(f318(f318(f74(a920),x50891),x50892),f318(f318(f74(a920),x50891),x50893))
% 202.84/202.77 [5148]~P103(x51481)+E(f318(f318(f92(x51481),x51482),x51483),f318(f318(f92(x51481),x51483),x51482))
% 202.84/202.77 [5149]~P104(x51491)+E(f318(f318(f92(x51491),x51492),x51493),f318(f318(f92(x51491),x51493),x51492))
% 202.84/202.77 [5151]~P109(x51511)+E(f318(f318(f101(x51511),x51512),x51513),f318(f318(f101(x51511),x51513),x51512))
% 202.84/202.77 [5152]~P104(x51521)+E(f318(f318(f101(x51521),x51522),x51523),f318(f318(f101(x51521),x51523),x51522))
% 202.84/202.77 [5153]~P118(x51531)+E(f318(f318(f74(x51531),x51532),x51533),f318(f318(f74(x51531),x51533),x51532))
% 202.84/202.77 [5154]~P118(x51541)+E(f318(f318(f73(x51541),x51542),x51543),f318(f318(f73(x51541),x51543),x51542))
% 202.84/202.77 [5156]~P4(x51561)+E(f318(f318(f223(x51561),x51562),x51563),f318(f318(f223(x51561),x51563),x51562))
% 202.84/202.77 [5158]~P4(x51581)+E(f318(f318(f224(x51581),x51582),x51583),f318(f318(f224(x51581),x51583),x51582))
% 202.84/202.77 [5220]E(f39(a920,x52201,x52202),f2(a920))+~E(x52201,f318(f318(f74(a920),x52202),x52203))
% 202.84/202.77 [5221]E(f39(a1,x52211,x52212),f2(a1))+~E(x52211,f318(f318(f74(a1),x52212),x52213))
% 202.84/202.77 [5288]E(x52881,x52882)+~E(f318(f318(f73(a920),x52883),x52881),f318(f318(f73(a920),x52883),x52882))
% 202.84/202.77 [5289]E(x52891,x52892)+~E(f318(f318(f73(a920),x52891),x52893),f318(f318(f73(a920),x52892),x52893))
% 202.84/202.77 [5302]~P65(x53021)+E(f318(f318(f92(x53021),x53022),f318(f72(x53021),x53023)),f318(f318(f3(x53021),x53022),x53023))
% 202.84/202.77 [5303]~P68(x53031)+E(f318(f318(f73(x53031),x53032),f318(f72(x53031),x53033)),f318(f318(f3(x53031),x53032),x53033))
% 202.84/202.77 [5304]~P69(x53041)+E(f318(f318(f73(x53041),x53042),f318(f72(x53041),x53043)),f318(f318(f3(x53041),x53042),x53043))
% 202.84/202.77 [5305]~P120(x53051)+E(f318(f318(f73(x53051),x53052),f318(f72(x53051),x53053)),f318(f318(f3(x53051),x53052),x53053))
% 202.84/202.77 [5306]~P68(x53061)+E(f318(f318(f3(x53061),x53062),f318(f72(x53061),x53063)),f318(f318(f73(x53061),x53062),x53063))
% 202.84/202.77 [5344]~P1(f318(x53443,x53442))+P1(f318(f318(f320(x53441),x53442),x53443))
% 202.84/202.77 [5346]~P84(x53462)+E(f318(f318(f11(x53461,x53462),x53463),f179(f927(x53461,a918))),f71(x53462))
% 202.84/202.77 [5348]~P83(x53482)+E(f318(f318(f8(x53481,x53482),x53483),f179(f927(x53481,a918))),f2(x53482))
% 202.84/202.77 [5400]~E(x54002,f318(f318(f73(a920),x54001),x54003))+P1(f318(f318(f225(a920),x54001),x54002))
% 202.84/202.77 [5403]~E(x54032,f179(f927(x54031,a918)))+E(f318(f318(f54(x54031),x54032),x54033),f179(f927(f927(x54031,a918),a918)))
% 202.84/202.77 [5404]~E(x54042,f179(f927(x54041,a918)))+E(f179(f927(f927(x54041,a918),a918)),f318(f318(f54(x54041),x54042),x54043))
% 202.84/202.77 [5472]~E(f318(f275(x54722,x54723),x54721),f179(f927(x54723,a918)))+E(x54721,f179(f927(f926(x54722,x54723),a918)))
% 202.84/202.77 [5473]~E(f318(f255(x54732,x54733),x54731),f179(f927(x54732,a918)))+E(x54731,f179(f927(f926(x54732,x54733),a918)))
% 202.84/202.77 [5505]E(f318(f275(x55051,x55052),x55053),f179(f927(x55052,a918)))+~E(x55053,f179(f927(f926(x55051,x55052),a918)))
% 202.84/202.77 [5506]E(f318(f255(x55061,x55062),x55063),f179(f927(x55061,a918)))+~E(x55063,f179(f927(f926(x55061,x55062),a918)))
% 202.84/202.77 [5509]E(f265(x55091,x55092,x55093),f318(f318(f3(a90),x55092),x55093))+P1(f318(f318(f226(a90),x55092),x55093))
% 202.84/202.77 [5525]P1(f318(x55251,x55252))+~P1(f318(f318(f320(x55253),x55252),x55251))
% 202.84/202.77 [5563]E(x55631,x55632)+~E(f318(f72(f927(x55633,a918)),x55631),f318(f72(f927(x55633,a918)),x55632))
% 202.84/202.77 [5574]~E(x55741,f179(f927(x55742,a918)))+~P1(f318(f318(f320(x55742),x55743),x55741))
% 202.84/202.77 [5604]~E(x56042,f318(f318(f73(a1),x56041),f318(f91(a1),x56043)))+P1(f318(f318(f225(a1),x56041),x56042))
% 202.84/202.77 [5618]E(f318(f318(f300(x56181),x56182),x56183),x56183)+~P1(f318(f318(f320(x56181),x56182),x56183))
% 202.84/202.77 [5629]E(x56291,f179(f927(x56292,a918)))+~E(f318(f318(f54(x56292),x56291),x56293),f179(f927(f927(x56292,a918),a918)))
% 202.84/202.77 [5630]E(x56301,f179(f927(x56302,a918)))+~E(f179(f927(f927(x56302,a918),a918)),f318(f318(f54(x56302),x56301),x56303))
% 202.84/202.77 [5636]~P139(x56361)+E(f318(f318(f74(x56361),f318(f72(x56361),x56362)),f318(f72(x56361),x56363)),f318(f318(f74(x56361),x56362),x56363))
% 202.84/202.77 [5638]~P74(x56381)+E(f318(f318(f282(x56381),f318(f72(x56381),x56382)),f318(f72(x56381),x56383)),f318(f318(f282(x56381),x56382),x56383))
% 202.84/202.77 [5670]~P1(f318(x56703,x56702))+P1(f318(f318(f320(x56701),x56702),f318(f253(x56701),x56703)))
% 202.84/202.77 [5695]E(x56951,f2(a920))+E(f318(f163(x56952),f160(x56952,x56951,x56953)),f318(f318(f300(x56952),x56953),f179(f927(x56952,a918))))
% 202.84/202.77 [5714]E(f161(x57141,x57142,x57143),x57143)+P1(f318(f318(f320(x57141),x57142),f318(f163(x57141),x57143)))
% 202.84/202.77 [5800]~P1(f318(f128(x58001),x58003))+P1(f318(f128(x58001),f318(f127(x58001,x58002),x58003)))
% 202.84/202.77 [5844]~P70(x58441)+E(f318(f318(f30(x58441),f39(x58441,x58442,x58443)),x58443),f2(x58441))
% 202.84/202.77 [5863]E(f167(x58631,f318(f318(f142(x58631),x58632),f104(x58631)),x58633),f104(x58631))+P1(f318(f318(f320(a920),f2(a920)),x58633))
% 202.84/202.77 [5869]E(x58691,f2(a920))+E(f318(f162(x58692),f160(x58692,x58691,x58693)),f160(x58692,f318(f318(f3(a920),x58691),f71(a920)),x58693))
% 202.84/202.77 [5920]E(f318(f318(f142(x59201),x59202),x59203),f131(x59201,x59202,x59203))+P1(f318(f318(f320(x59201),x59202),f318(f163(x59201),x59203)))
% 202.84/202.77 [5929]E(x59291,x59292)+~E(f318(f318(f74(a920),f318(a103,x59293)),x59291),f318(f318(f74(a920),f318(a103,x59293)),x59292))
% 202.84/202.77 [5930]~E(x59302,f318(f318(f73(a1),x59301),f318(f91(a1),f318(a103,x59303))))+P1(f318(f318(f226(a1),x59301),x59302))
% 202.84/202.77 [5992]~P32(x59921,x59922,x59923)+P33(a920,x59921,f130(a920,f318(f293(a920,x59922),x59923)))
% 202.84/202.77 [6046]~E(x60463,f104(x60461))+E(f318(f318(f318(f174(f921(x60461),f921(x60461)),x60462),f158(x60461)),x60463),f104(x60461))
% 202.84/202.77 [6050]P1(f318(x60501,x60502))+~P1(f318(f318(f320(x60503),x60502),f318(f253(x60503),x60501)))
% 202.84/202.77 [6082]E(x60821,x60822)+~E(f318(f318(f300(x60823),x60821),f179(f927(x60823,a918))),f318(f318(f300(x60823),x60822),f179(f927(x60823,a918))))
% 202.84/202.77 [6098]~P113(x60981)+E(f318(f318(f92(f927(x60981,a918)),f318(f273(x60981),x60982)),f318(f293(x60981,x60982),x60983)),f179(f927(x60981,a918)))
% 202.84/202.77 [6137]E(f131(x61371,x61372,x61373),x61373)+~P1(f318(f318(f320(x61371),x61372),f318(f163(x61371),x61373)))
% 202.84/202.77 [6163]~P67(x61631)+E(f318(f301(x61631,x61631,f72(x61631)),f318(f293(x61631,x61632),x61633)),f296(x61631,f318(f72(x61631),x61633),f318(f72(x61631),x61632)))
% 202.84/202.77 [6174]E(f318(f180(f921(x61741)),f161(x61741,x61742,x61743)),f318(f180(f921(x61741)),x61743))+P1(f318(f318(f320(x61741),x61742),f318(f163(x61741),x61743)))
% 202.84/202.77 [6228]~P113(x62281)+E(f318(f318(f92(f927(x62281,a918)),f318(f293(x62281,x62282),x62283)),f318(f274(x62281),x62283)),f179(f927(x62281,a918)))
% 202.84/202.77 [6248]~P67(x62481)+E(f318(f301(x62481,x62481,f72(x62481)),f297(x62481,x62482,x62483)),f297(x62481,f318(f72(x62481),x62483),f318(f72(x62481),x62482)))
% 202.84/202.77 [6249]~P67(x62491)+E(f318(f301(x62491,x62491,f72(x62491)),f294(x62491,x62492,x62493)),f294(x62491,f318(f72(x62491),x62493),f318(f72(x62491),x62492)))
% 202.84/202.77 [6314]E(f167(x63141,f318(f318(f142(x63141),x63142),f104(x63141)),x63143),f318(f318(f142(x63141),x63142),f104(x63141)))+~P1(f318(f318(f320(a920),f2(a920)),x63143))
% 202.84/202.77 [6319]P32(x63191,x63192,x63193)+~P33(a920,x63191,f130(a920,f318(f293(a920,x63192),x63193)))
% 202.84/202.77 [6322]~P67(x63221)+E(f318(f301(x63221,x63221,f72(x63221)),f296(x63221,x63222,x63223)),f318(f293(x63221,f318(f72(x63221),x63223)),f318(f72(x63221),x63222)))
% 202.84/202.77 [6343]~P71(x63431)+E(f39(x63431,f318(f72(x63431),f39(x63431,x63432,x63433)),x63433),f39(x63431,f318(f72(x63431),x63432),x63433))
% 202.84/202.77 [6440]~P1(f318(f55(f926(x64402,x64401)),x64403))+P1(f318(f55(x64401),f318(f275(x64402,x64401),x64403)))
% 202.84/202.77 [6441]~P1(f318(f55(f926(x64411,x64412)),x64413))+P1(f318(f55(x64411),f318(f255(x64411,x64412),x64413)))
% 202.84/202.77 [6446]~P113(x64461)+E(f318(f318(f92(f927(x64461,a918)),f297(x64461,x64462,x64463)),f318(f274(x64461),x64463)),f179(f927(x64461,a918)))
% 202.84/202.77 [6447]~P113(x64471)+E(f318(f318(f92(f927(x64471,a918)),f296(x64471,x64472,x64473)),f318(f295(x64471),x64473)),f179(f927(x64471,a918)))
% 202.84/202.77 [6448]~P113(x64481)+E(f318(f318(f92(f927(x64481,a918)),f294(x64481,x64482,x64483)),f318(f295(x64481),x64483)),f179(f927(x64481,a918)))
% 202.84/202.77 [6520]E(f318(f318(f155(x65201),x65202),f624(x65202,x65203,x65201)),x65203)+~P1(f318(f318(f320(x65201),x65203),f318(f163(x65201),x65202)))
% 202.84/202.77 [6665]E(x66651,f104(x66652))+~E(f318(f318(f318(f174(f921(x66652),f921(x66652)),x66653),f158(x66652)),x66651),f104(x66652))
% 202.84/202.77 [6773]~P1(f318(f55(f926(x67732,x67731)),x67733))+P1(f318(f55(f926(x67731,x67732)),f318(f277(x67732,x67731),x67733)))
% 202.84/202.77 [6796]E(x67961,x67962)+~E(f281(a920,f278(a920),x67963,x67961),f318(f318(f300(a920),x67962),f179(f927(a920,a918))))
% 202.84/202.77 [6797]E(x67971,x67972)+~E(f281(a920,f278(a920),x67971,x67972),f318(f318(f300(a920),x67973),f179(f927(a920,a918))))
% 202.84/202.77 [6929]P59(x69291,x69292,x69293)+P1(f318(f318(f320(x69291),f622(x69293,x69292,x69291)),x69292))
% 202.84/202.77 [6930]P59(x69301,x69302,x69303)+P1(f318(f318(f320(x69301),f621(x69303,x69302,x69301)),x69302))
% 202.84/202.77 [6941]P1(f318(f306(x69411,x69412),x69413))+P1(f318(f318(x69412,f501(x69413,x69412,x69411)),x69413))
% 202.84/202.77 [6942]P1(f318(f306(x69421,x69422),x69423))+P1(f318(f318(x69422,f502(x69423,x69422,x69421)),x69423))
% 202.84/202.77 [6973]E(f318(f180(f921(x69731)),f161(x69731,x69732,x69733)),f318(f318(f3(a920),f318(f180(f921(x69731)),x69733)),f71(a920)))+~P1(f318(f318(f320(x69731),x69732),f318(f163(x69731),x69733)))
% 202.84/202.77 [7013]P1(f318(f239(x70131,x70132),x70133))+P1(f318(f318(f320(x70131),f469(x70133,x70132,x70131)),x70133))
% 202.84/202.77 [7024]~P1(f318(f55(f926(x70242,x70241)),f318(f277(x70241,x70242),x70243)))+P1(f318(f55(f926(x70241,x70242)),x70243))
% 202.84/202.77 [7082]~P1(f318(f318(f320(x70821),x70822),f318(f163(x70821),f105(x70821,x70823))))+P1(f318(f318(f320(x70821),x70822),f318(f163(x70821),x70823)))
% 202.84/202.77 [7087]P29(x70871,x70872,x70873)+P1(f318(f318(f320(f919(x70871)),f771(x70873,x70872,x70871)),x70873))
% 202.84/202.77 [7117]E(f318(f127(x71171,x71172),x71173),x71173)+P1(f318(f318(f320(x71171),f701(x71173,x71172,x71171)),f318(f163(x71171),x71173)))
% 202.84/202.77 [7132]E(f318(f127(x71321,x71322),x71323),f104(x71321))+P1(f318(f318(f320(x71321),f700(x71323,x71322,x71321)),f318(f163(x71321),x71323)))
% 202.84/202.77 [7156]P33(x71561,x71562,x71563)+P1(f318(f318(f320(x71561),f762(x71563,x71562,x71561)),f318(f163(x71561),x71563)))
% 202.84/202.77 [7157]P33(x71571,x71572,x71573)+P1(f318(f318(f320(x71571),f770(x71573,x71572,x71571)),f318(f163(x71571),x71573)))
% 202.84/202.77 [7158]P33(x71581,x71582,x71583)+P1(f318(f318(f320(x71581),f768(x71582,x71583,x71581)),f318(f163(x71581),x71583)))
% 202.84/202.77 [7161]E(f168(x71611,x71612,x71613),x71613)+P1(f318(f318(f320(x71611),f721(x71613,x71612,x71611)),f318(f163(x71611),x71613)))
% 202.84/202.77 [7238]P1(f318(f151(x72381,x72382),x72383))+P1(f318(f318(f320(x72381),f690(x72383,x72382,x72381)),f318(f163(x72381),x72383)))
% 202.84/202.77 [7247]~P35(x72471,x72473,x72472)+P1(f318(f318(f320(x72471),f759(x72472,x72473,x72471)),f318(f163(x72471),x72472)))
% 202.84/202.77 [7248]~P37(x72481,x72483,x72482)+P1(f318(f318(f320(x72481),f769(x72482,x72483,x72481)),f318(f163(x72481),x72482)))
% 202.84/202.77 [7249]~P37(x72491,x72493,x72492)+P1(f318(f318(f320(x72491),f772(x72492,x72493,x72491)),f318(f163(x72491),x72492)))
% 202.84/202.77 [7250]~P35(x72501,x72502,x72503)+P1(f318(f318(f320(x72501),f798(x72502,x72503,x72501)),f318(f163(x72501),x72503)))
% 202.84/202.77 [7251]~P35(x72511,x72513,x72512)+P1(f318(f318(f320(x72511),f799(x72512,x72513,x72511)),f318(f163(x72511),x72512)))
% 202.84/202.77 [7286]P1(f318(f318(f320(x72861),x72862),f532(x72863,x72862,x72861)))+~P1(f318(f318(f320(x72861),x72862),f31(f927(x72861,a918),x72863)))
% 202.84/202.77 [7287]~P83(x72871)+E(f318(f318(f73(x72871),f318(f318(f8(a920,x72871),x72872),f318(f273(a920),x72873))),f318(x72872,x72873)),f318(f318(f8(a920,x72871),x72872),f318(f273(a920),f318(a103,x72873))))
% 202.84/202.77 [7299]P32(x72991,x72992,x72993)+P1(f318(f318(f320(a920),f865(x72993,x72992,x72991)),f318(f293(a920,x72992),x72993)))
% 202.84/202.77 [7380]~P35(x73802,x73801,x73803)+P1(f318(x73801,f318(f318(f155(x73802),x73803),f758(x73803,x73801,x73802))))
% 202.84/202.77 [7395]~P1(f318(f318(f320(x73951),x73952),f503(x73952,x73953,x73951)))+P1(f318(f318(f320(x73951),x73952),f32(f927(x73951,a918),x73953)))
% 202.84/202.77 [7428]~P83(x74281)+E(f318(f318(f73(x74281),f318(f318(f8(a920,x74281),x74282),f318(f292(a920),x74283))),f318(x74282,f318(a103,x74283))),f318(f318(f8(a920,x74281),x74282),f318(f292(a920),f318(a103,x74283))))
% 202.84/202.77 [7567]P1(f318(f318(f320(f921(x75671)),x75672),f152(x75671,x75673)))+P1(f318(f318(f320(x75671),f664(x75673,x75672,x75671)),f318(f163(x75671),x75672)))
% 202.84/202.77 [7581]~P1(f318(f318(f320(f921(x75811)),x75812),f152(x75811,f307(x75811,x75813))))+P1(f318(f318(f320(f921(x75811)),x75812),f307(f921(x75811),f148(x75811,x75813))))
% 202.84/202.77 [7605]~P1(f318(f318(f320(f921(x76051)),x76052),f307(f921(x76051),f148(x76051,x76053))))+P1(f318(f318(f320(f921(x76051)),x76052),f152(x76051,f307(x76051,x76053))))
% 202.84/202.77 [7638]E(f318(f318(f318(f174(f921(x76381),f921(x76381)),x76382),f158(x76381)),x76383),x76383)+~P1(f318(f318(f225(a920),f318(f180(f921(x76381)),x76383)),f71(a920)))
% 202.84/202.77 [7671]E(f318(f318(f125(x76711),f760(x76712,x76713,x76711)),f318(f318(f142(x76711),x76713),f761(x76712,x76713,x76711))),x76712)+~P1(f318(f318(f320(x76711),x76713),f318(f163(x76711),x76712)))
% 202.84/202.77 [7672]E(f318(f318(f125(x76721),f764(x76722,x76723,x76721)),f318(f318(f142(x76721),x76723),f765(x76722,x76723,x76721))),x76722)+~P1(f318(f318(f320(x76721),x76723),f318(f163(x76721),x76722)))
% 202.84/202.77 [7673]E(f318(f318(f125(x76731),f766(x76732,x76733,x76731)),f318(f318(f142(x76731),x76733),f767(x76732,x76733,x76731))),x76732)+~P1(f318(f318(f320(x76731),x76733),f318(f163(x76731),x76732)))
% 202.84/202.77 [7694]~P25(x76941,x76942,x76943,f233(f927(x76941,a918)))+P25(f921(x76941),f921(x76942),f318(f145(x76941,x76942),x76943),f233(f927(f921(x76941),a918)))
% 202.84/202.77 [7844]E(x78441,f318(f318(f73(a920),f318(f318(f74(a920),f318(f242(a920,a920),x78442)),x78443)),f318(f247(a920,a920),x78442)))+~P1(f318(f42(x78441,x78443),x78442))
% 202.84/202.77 [7852]P25(x78521,x78522,x78523,f233(f927(x78521,a918)))+~P25(f921(x78521),f921(x78522),f318(f145(x78521,x78522),x78523),f233(f927(f921(x78521),a918)))
% 202.84/202.77 [7897]P1(f318(f318(f320(f927(x78971,a918)),f503(x78972,x78973,x78971)),x78973))+P1(f318(f318(f320(x78971),x78972),f32(f927(x78971,a918),x78973)))
% 202.84/202.77 [7986]P1(f318(f318(f320(f921(x79861)),x79862),f152(x79861,x79863)))+~P1(f318(f318(f320(x79861),f664(x79863,x79862,x79861)),x79863))
% 202.84/202.77 [8089]P33(x80891,x80892,x80893)+~P1(f318(x80892,f318(f318(f155(x80891),x80893),f763(x80893,x80892,x80891))))
% 202.84/202.77 [8114]E(x81141,x81142)+~E(f318(f318(f9(x81143,f927(x81143,a918),a918),f320(x81143)),x81141),f318(f318(f9(x81143,f927(x81143,a918),a918),f320(x81143)),x81142))
% 202.84/202.77 [8122]~P1(f318(f318(f320(f926(x81221,x81221)),x81223),f254(x81221,x81222)))+P1(f318(f318(f320(x81221),f536(x81222,x81223,x81221)),x81222))
% 202.84/202.77 [8124]~P1(f318(f318(f320(x81241),x81243),f31(f927(x81241,a918),x81242)))+P1(f318(f318(f320(f927(x81241,a918)),f532(x81242,x81243,x81241)),x81242))
% 202.84/202.77 [8181]P1(f318(f318(f225(f927(x81811,a918)),x81812),f32(f927(x81811,a918),x81813)))+P1(f318(f318(f320(f927(x81811,a918)),f558(x81812,x81813,x81811)),x81813))
% 202.84/202.77 [8245]P25(x82451,x82452,f84(x82452,x82451,f233(f927(x82452,a918)),x82453),f233(f927(x82451,a918)))+~E(f318(f301(x82452,x82451,x82453),f233(f927(x82452,a918))),f233(f927(x82451,a918)))
% 202.84/202.77 [8271]~P1(f318(f318(f225(f927(x82711,a918)),x82712),f558(x82712,x82713,x82711)))+P1(f318(f318(f225(f927(x82711,a918)),x82712),f32(f927(x82711,a918),x82713)))
% 202.84/202.77 [8300]~P1(f318(f318(f320(x83001),x83002),f318(f163(x83001),f764(x83003,x83002,x83001))))+~P1(f318(f318(f320(x83001),x83002),f318(f163(x83001),x83003)))
% 202.84/202.77 [8301]~P1(f318(f318(f320(x83011),x83012),f318(f163(x83011),f767(x83013,x83012,x83011))))+~P1(f318(f318(f320(x83011),x83012),f318(f163(x83011),x83013)))
% 202.84/202.77 [8330]P32(f318(f66(a918,a918,a920,a313),x83301),x83302,x83303)+P35(a920,x83301,f130(a920,f318(f293(a920,x83302),x83303)))
% 202.84/202.77 [8492]E(x84921,f104(x84922))+P1(f318(f318(f320(x84922),f318(f242(x84922,f926(a90,a90)),f318(f266(x84922,x84921),x84923))),f318(f163(x84922),x84921)))
% 202.84/202.77 [8592]~P79(x85921)+E(f318(f133(x85921,x85921,f318(f9(x85921,x85921,x85921),f73(x85921)),x85922),f318(f159(x85921),x85923)),f318(f133(x85921,x85921,f73(x85921),x85922),x85923))
% 202.84/202.77 [8788]~P25(x87882,x87881,x87883,f233(f927(x87882,a918)))+E(f318(f301(x87881,x87882,f84(x87882,x87881,f233(f927(x87882,a918)),x87883)),f233(f927(x87881,a918))),f233(f927(x87882,a918)))
% 202.84/202.77 [8858]~P32(f318(f66(a918,a918,a920,a313),x88581),x88582,x88583)+~P35(a920,x88581,f130(a920,f318(f293(a920,x88582),x88583)))
% 202.84/202.77 [9109]~P4(x91091)+E(f318(f163(x91091),f140(x91091,x91091,f7(x91091),x91092,x91093)),f318(f318(f300(x91091),x91092),f318(f163(x91091),x91093)))
% 202.84/202.77 [9118]~E(f318(x91183,f318(f84(x91181,x91182,f233(f927(x91181,a918)),x91183),f814(x91183,x91182,x91181))),f814(x91183,x91182,x91181))+E(f318(f301(x91181,x91182,x91183),f233(f927(x91181,a918))),f233(f927(x91182,a918)))
% 202.84/202.77 [9120]P1(f318(f318(f226(a920),f2(a920)),f629(x91201,x91202,x91203)))+~P1(f318(f318(f320(f926(x91203,x91203)),x91202),f318(f318(f280(x91203,x91203,x91203),x91201),f298(x91203,x91201))))
% 202.84/202.77 [9400]~P61(x94001,x94002)+~P1(f318(f318(f320(f926(x94001,x94001)),f318(f318(f243(x94001,x94001),x94003),x94003)),f318(f318(f280(x94001,x94001,x94001),x94002),f298(x94001,x94002))))
% 202.84/202.77 [9537]~E(f318(f318(f92(f927(f926(x95371,x95371),a918)),f318(f277(x95371,x95371),x95372)),f298(x95371,x95372)),f179(f927(f926(x95371,x95371),a918)))+~P1(f318(f318(f320(f926(x95371,x95371)),f318(f318(f243(x95371,x95371),x95373),x95373)),f318(f318(f280(x95371,x95371,x95371),x95372),f298(x95371,x95372))))
% 202.84/202.77 [9721]~P1(f318(f55(x97211),x97212))+P1(f318(f318(f225(a920),f318(f29(x97211),f318(f318(f3(f927(x97211,a918)),x97212),f318(f318(f300(x97211),x97213),f179(f927(x97211,a918)))))),f318(f29(x97211),x97212)))
% 202.84/202.77 [5208]~E(x52083,f104(x52081))+E(f135(x52081,f318(f318(f142(x52081),x52082),x52083)),x52082)
% 202.84/202.77 [5217]~E(x52173,f104(x52171))+E(f105(x52171,f318(f318(f142(x52171),x52172),x52173)),f104(x52171))
% 202.84/202.77 [5249]E(x52491,f104(x52492))+E(f135(x52492,f318(f318(f142(x52492),x52493),x52491)),f135(x52492,x52491))
% 202.84/202.77 [5251]E(x52511,f104(x52512))+E(f135(x52512,f318(f318(f125(x52512),x52513),x52511)),f135(x52512,x52511))
% 202.84/202.77 [5258]~E(x52583,f104(x52581))+E(f105(x52581,f318(f318(f125(x52581),x52582),x52583)),f105(x52581,x52582))
% 202.84/202.77 [5260]~E(x52603,f104(x52601))+E(f135(x52601,f318(f318(f125(x52601),x52602),x52603)),f135(x52601,x52602))
% 202.84/202.77 [5296]E(x52961,f104(x52962))+E(f318(f132(x52962),f318(f318(f125(x52962),x52961),x52963)),f318(f132(x52962),x52961))
% 202.84/202.77 [5324]~E(x53242,f104(x53241))+E(f318(f132(x53241),f318(f318(f125(x53241),x53242),x53243)),f318(f132(x53241),x53243))
% 202.84/202.77 [5376]~P104(x53761)+E(f318(f318(f92(x53761),x53762),f318(f318(f101(x53761),x53762),x53763)),x53762)
% 202.84/202.77 [5377]~P104(x53771)+E(f318(f318(f101(x53771),x53772),f318(f318(f92(x53771),x53772),x53773)),x53772)
% 202.84/202.77 [5378]~P4(x53781)+E(f318(f318(f223(x53781),x53782),f318(f318(f224(x53781),x53782),x53783)),x53782)
% 202.84/202.77 [5379]~P4(x53791)+E(f318(f318(f224(x53791),x53792),f318(f318(f223(x53791),x53792),x53793)),x53792)
% 202.84/202.77 [5398]~P70(x53981)+E(f39(x53981,f318(f318(f74(x53981),x53982),x53983),x53983),f2(x53981))
% 202.84/202.77 [5399]~P70(x53991)+E(f39(x53991,f318(f318(f74(x53991),x53992),x53993),x53992),f2(x53991))
% 202.84/202.77 [5467]~P69(x54671)+E(f318(f72(x54671),f318(f318(f3(x54671),x54672),x54673)),f318(f318(f3(x54671),x54673),x54672))
% 202.84/202.77 [5529]E(x55291,f104(x55292))+E(f105(x55292,f318(f318(f142(x55292),x55293),x55291)),f318(f318(f142(x55292),x55293),f105(x55292,x55291)))
% 202.84/202.77 [5530]E(x55301,f104(x55302))+E(f105(x55302,f318(f318(f125(x55302),x55303),x55301)),f318(f318(f125(x55302),x55303),f105(x55302,x55301)))
% 202.84/202.77 [5533]~P5(x55331)+E(f32(x55331,f318(f318(f300(x55331),x55332),x55333)),f318(f318(f92(x55331),x55332),f32(x55331,x55333)))
% 202.84/202.77 [5534]~P5(x55341)+E(f31(x55341,f318(f318(f300(x55341),x55342),x55343)),f318(f318(f101(x55341),x55342),f31(x55341,x55343)))
% 202.84/202.77 [5580]~P103(x55801)+E(f318(f318(f92(x55801),x55802),f318(f318(f92(x55801),x55802),x55803)),f318(f318(f92(x55801),x55802),x55803))
% 202.84/202.77 [5581]~P104(x55811)+E(f318(f318(f92(x55811),x55812),f318(f318(f92(x55811),x55812),x55813)),f318(f318(f92(x55811),x55812),x55813))
% 202.84/202.77 [5583]~P109(x55831)+E(f318(f318(f101(x55831),x55832),f318(f318(f101(x55831),x55832),x55833)),f318(f318(f101(x55831),x55832),x55833))
% 202.84/202.77 [5584]~P104(x55841)+E(f318(f318(f101(x55841),x55842),f318(f318(f101(x55841),x55842),x55843)),f318(f318(f101(x55841),x55842),x55843))
% 202.84/202.77 [5585]~P102(x55851)+E(f318(f318(f74(x55851),x55852),f318(f318(f74(x55851),x55852),x55853)),f318(f318(f74(x55851),x55852),x55853))
% 202.84/202.77 [5587]~P4(x55871)+E(f318(f318(f223(x55871),x55872),f318(f318(f223(x55871),x55872),x55873)),f318(f318(f223(x55871),x55872),x55873))
% 202.84/202.77 [5589]~P4(x55891)+E(f318(f318(f224(x55891),x55892),f318(f318(f224(x55891),x55892),x55893)),f318(f318(f224(x55891),x55892),x55893))
% 202.84/202.77 [5596]~P70(x55961)+E(f39(x55961,f318(f318(f73(x55961),x55962),x55963),x55963),f39(x55961,x55962,x55963))
% 202.84/202.77 [5597]~P70(x55971)+E(f39(x55971,f318(f318(f73(x55971),x55972),x55973),x55972),f39(x55971,x55973,x55972))
% 202.84/202.77 [5605]~P139(x56051)+E(f318(f318(f74(x56051),x56052),f318(f72(x56051),x56053)),f318(f72(x56051),f318(f318(f74(x56051),x56052),x56053)))
% 202.84/202.77 [5606]~P74(x56061)+E(f318(f318(f282(x56061),x56062),f318(f72(x56061),x56063)),f318(f72(x56061),f318(f318(f282(x56061),x56062),x56063)))
% 202.84/202.77 [5607]~P89(x56071)+E(f318(f318(f73(x56071),x56072),f318(f156(x56071),x56073)),f318(f156(x56071),f318(f318(f142(x56071),x56072),x56073)))
% 202.84/202.77 [5635]~P139(x56351)+E(f318(f318(f74(x56351),f318(f72(x56351),x56352)),x56353),f318(f318(f74(x56351),x56352),f318(f72(x56351),x56353)))
% 202.84/202.77 [5641]~P8(x56411,x56412,x56413)+E(f31(f927(x56411,a918),f318(f318(f54(x56411),x56412),x56413)),x56412)
% 202.84/202.77 [5706]~P121(x57061)+E(f318(f318(f74(x57061),x57062),f318(f318(f235(x57061),x57062),x57063)),f318(f318(f235(x57061),x57062),f318(a103,x57063)))
% 202.84/202.77 [5707]~P118(x57071)+E(f318(f318(f74(x57071),x57072),f318(f318(f235(x57071),x57072),x57073)),f318(f318(f235(x57071),x57072),f318(a103,x57073)))
% 202.84/202.77 [5717]~P68(x57171)+E(f318(f318(f73(x57171),f318(f72(x57171),x57172)),f318(f318(f73(x57171),x57172),x57173)),x57173)
% 202.84/202.77 [5740]~P115(x57401)+E(f318(f318(f235(x57401),f318(f91(x57401),x57402)),x57403),f318(f91(x57401),f318(f318(f235(a920),x57402),x57403)))
% 202.84/202.77 [5741]~P146(x57411)+E(f318(f318(f235(x57411),f318(f93(x57411),x57412)),x57413),f318(f93(x57411),f318(f318(f235(a1),x57412),x57413)))
% 202.84/202.77 [5747]~P93(x57471)+E(f318(f69(x57471),f318(f318(f3(x57471),x57472),x57473)),f318(f69(x57471),f318(f318(f3(x57471),x57473),x57472)))
% 202.84/202.77 [5750]~P116(x57501)+E(f318(f318(f74(x57501),f75(x57501,x57502)),f75(x57501,x57503)),f75(x57501,f318(f318(f74(x57501),x57502),x57503)))
% 202.84/202.77 [5754]E(x57541,f104(x57542))+E(f318(f318(f125(x57542),f318(f162(x57542),x57541)),x57543),f318(f162(x57542),f318(f318(f125(x57542),x57541),x57543)))
% 202.84/202.77 [5760]~E(x57602,f318(a103,f318(f318(f73(a920),x57601),x57603)))+P1(f318(f318(f226(a920),x57601),x57602))
% 202.84/202.77 [5761]~P139(x57611)+E(f318(f318(f74(x57611),f318(f72(x57611),x57612)),x57613),f318(f72(x57611),f318(f318(f74(x57611),x57612),x57613)))
% 202.84/202.77 [5762]~P125(x57621)+E(f318(f318(f282(x57621),f318(f72(x57621),x57622)),x57623),f318(f72(x57621),f318(f318(f282(x57621),x57622),x57623)))
% 202.84/202.77 [5763]~P116(x57631)+E(f318(f318(f235(x57631),f318(f69(x57631),x57632)),x57633),f318(f69(x57631),f318(f318(f235(x57631),x57632),x57633)))
% 202.84/202.77 [5862]E(f436(x58621,x58622,x58623),f458(x58621,x58622,x58623))+E(f318(f318(f92(f927(x58623,a918)),x58622),x58621),f179(f927(x58623,a918)))
% 202.84/202.77 [5877]~P84(x58772)+E(f318(f318(f11(x58771,x58772),f318(f18(x58772,x58771),f71(x58772))),x58773),f71(x58772))
% 202.84/202.77 [5878]~P83(x58782)+E(f318(f318(f8(x58781,x58782),f318(f18(x58782,x58781),f2(x58782))),x58783),f2(x58782))
% 202.84/202.77 [5880]~P115(x58801)+E(f318(f318(f74(x58801),f318(f91(x58801),x58802)),f318(f91(x58801),x58803)),f318(f91(x58801),f318(f318(f74(a920),x58802),x58803)))
% 202.84/202.77 [5881]~P115(x58811)+E(f318(f318(f73(x58811),f318(f91(x58811),x58812)),f318(f91(x58811),x58813)),f318(f91(x58811),f318(f318(f73(a920),x58812),x58813)))
% 202.84/202.77 [5882]~P146(x58821)+E(f318(f318(f3(x58821),f318(f93(x58821),x58822)),f318(f93(x58821),x58823)),f318(f93(x58821),f318(f318(f3(a1),x58822),x58823)))
% 202.84/202.77 [5883]~P146(x58831)+E(f318(f318(f74(x58831),f318(f93(x58831),x58832)),f318(f93(x58831),x58833)),f318(f93(x58831),f318(f318(f74(a1),x58832),x58833)))
% 202.84/202.77 [5884]~P146(x58841)+E(f318(f318(f73(x58841),f318(f93(x58841),x58842)),f318(f93(x58841),x58843)),f318(f93(x58841),f318(f318(f73(a1),x58842),x58843)))
% 202.84/202.77 [5885]~P100(x58851)+E(f318(f318(f3(x58851),f318(f94(x58851),x58852)),f318(f94(x58851),x58853)),f318(f94(x58851),f318(f318(f3(a1),x58852),x58853)))
% 202.84/202.77 [5888]~P100(x58881)+E(f318(f318(f74(x58881),f318(f94(x58881),x58882)),f318(f94(x58881),x58883)),f318(f94(x58881),f318(f318(f74(a1),x58882),x58883)))
% 202.84/202.77 [5889]~P100(x58891)+E(f318(f318(f73(x58891),f318(f94(x58891),x58892)),f318(f94(x58891),x58893)),f318(f94(x58891),f318(f318(f73(a1),x58892),x58893)))
% 202.84/202.77 [5937]~E(x59373,x59372)+P1(f318(f318(f225(f927(x59371,a918)),x59372),x59373))
% 202.84/202.77 [5943]~E(x59432,x59433)+P1(f318(f318(f225(f927(x59431,a918)),x59432),x59433))
% 202.84/202.77 [5948]~P65(x59481)+E(f318(f318(f101(x59481),f318(f72(x59481),x59482)),f318(f72(x59481),x59483)),f318(f72(x59481),f318(f318(f92(x59481),x59482),x59483)))
% 202.84/202.77 [5949]~P65(x59491)+E(f318(f318(f92(x59491),f318(f72(x59491),x59492)),f318(f72(x59491),x59493)),f318(f72(x59491),f318(f318(f101(x59491),x59492),x59493)))
% 202.84/202.77 [5950]~P68(x59501)+E(f318(f318(f73(x59501),f318(f72(x59501),x59502)),f318(f72(x59501),x59503)),f318(f72(x59501),f318(f318(f73(x59501),x59503),x59502)))
% 202.84/202.77 [5951]~P69(x59511)+E(f318(f318(f73(x59511),f318(f72(x59511),x59512)),f318(f72(x59511),x59513)),f318(f72(x59511),f318(f318(f73(x59511),x59512),x59513)))
% 202.84/202.77 [5952]~P86(x59521)+E(f318(f318(f224(x59521),f318(f72(x59521),x59522)),f318(f72(x59521),x59523)),f318(f72(x59521),f318(f318(f223(x59521),x59522),x59523)))
% 202.84/202.77 [5953]~P86(x59531)+E(f318(f318(f223(x59531),f318(f72(x59531),x59532)),f318(f72(x59531),x59533)),f318(f72(x59531),f318(f318(f224(x59531),x59532),x59533)))
% 202.84/202.77 [5954]~P116(x59541)+E(f318(f318(f74(x59541),f318(f69(x59541),x59542)),f318(f69(x59541),x59543)),f318(f69(x59541),f318(f318(f74(x59541),x59542),x59543)))
% 202.84/202.77 [5955]~P76(x59551)+E(f318(f318(f282(x59551),f318(f69(x59551),x59552)),f318(f69(x59551),x59553)),f318(f69(x59551),f318(f318(f282(x59551),x59552),x59553)))
% 202.84/202.77 [5956]~P89(x59561)+E(f318(f318(f73(x59561),f318(f156(x59561),x59562)),f318(f156(x59561),x59563)),f318(f156(x59561),f318(f318(f125(x59561),x59562),x59563)))
% 202.84/202.77 [5957]E(x59571,f179(f927(x59572,a918)))+~E(f318(f318(f101(f927(x59572,a918)),x59573),x59571),f179(f927(x59572,a918)))
% 202.84/202.77 [5958]E(x59581,f179(f927(x59582,a918)))+~E(f318(f318(f101(f927(x59582,a918)),x59581),x59583),f179(f927(x59582,a918)))
% 202.84/202.77 [5959]~P152(x59591,x59592,x59593)+P1(f318(x59591,f318(f318(f30(a1),x59592),x59593)))
% 202.84/202.77 [6017]~P1(f318(f55(x60171),x60173))+P1(f318(f55(x60171),f318(f318(f300(x60171),x60172),x60173)))
% 202.84/202.77 [6018]~P1(f318(f128(x60181),x60183))+P1(f318(f128(x60181),f318(f318(f166(x60181),x60182),x60183)))
% 202.84/202.77 [6019]~P1(f318(f128(x60191),x60193))+P1(f318(f128(x60191),f318(f318(f129(x60191),x60192),x60193)))
% 202.84/202.77 [6051]~P109(x60511)+P1(f318(f318(f225(x60511),x60512),f318(f318(f101(x60511),x60513),x60512)))
% 202.84/202.77 [6052]~P104(x60521)+P1(f318(f318(f225(x60521),x60522),f318(f318(f101(x60521),x60523),x60522)))
% 202.84/202.77 [6053]~P109(x60531)+P1(f318(f318(f225(x60531),x60532),f318(f318(f101(x60531),x60532),x60533)))
% 202.84/202.77 [6054]~P104(x60541)+P1(f318(f318(f225(x60541),x60542),f318(f318(f101(x60541),x60542),x60543)))
% 202.84/202.77 [6055]~P4(x60551)+P1(f318(f318(f225(x60551),x60552),f318(f318(f224(x60551),x60553),x60552)))
% 202.84/202.77 [6056]~P4(x60561)+P1(f318(f318(f225(x60561),x60562),f318(f318(f224(x60561),x60562),x60563)))
% 202.84/202.77 [6057]~P118(x60571)+P1(f318(f318(f278(x60571),x60572),f318(f318(f74(x60571),x60573),x60572)))
% 202.84/202.77 [6058]~P118(x60581)+P1(f318(f318(f278(x60581),x60582),f318(f318(f74(x60581),x60582),x60583)))
% 202.84/202.77 [6072]~E(x60721,f2(a920))+E(f318(f318(f30(a920),f318(f318(f74(a920),x60721),x60722)),f318(f318(f74(a920),x60721),x60723)),f2(a920))
% 202.84/202.77 [6155]~P100(x61551)+E(f318(f318(f3(x61551),f318(f94(x61551),x61552)),f318(f94(x61551),x61553)),f318(f94(x61551),f318(f318(f73(a1),x61552),f318(f72(a1),x61553))))
% 202.84/202.77 [6216]E(x62161,f2(a920))+E(f318(f318(f30(a920),f318(f318(f74(a920),x62161),x62162)),f318(f318(f74(a920),x62161),x62163)),f318(f318(f30(a920),x62162),x62163))
% 202.84/202.77 [6246]E(f143(x62461,f318(f318(f142(x62461),x62462),x62463)),f318(f318(f142(x62461),x62462),f143(x62461,x62463)))+P1(f318(f318(f320(x62461),x62462),f318(f163(x62461),x62463)))
% 202.84/202.77 [6283]P152(x62831,x62832,x62833)+~P1(f318(x62831,f318(f318(f30(a1),x62832),x62833)))
% 202.84/202.77 [6357]E(x63571,f104(x63572))+E(f318(f318(f142(x63572),f318(f132(x63572),x63571)),f318(f318(f166(x63572),x63573),f318(f162(x63572),x63571))),f318(f318(f166(x63572),f318(a103,x63573)),x63571))
% 202.84/202.77 [6364]E(f318(f318(f3(f927(x63641,a918)),x63642),x63643),x63642)+~E(f318(f318(f92(f927(x63641,a918)),x63642),x63643),f179(f927(x63641,a918)))
% 202.84/202.77 [6379]E(f143(x63791,f318(f318(f142(x63791),x63792),x63793)),f143(x63791,x63793))+~P1(f318(f318(f320(x63791),x63792),f318(f163(x63791),x63793)))
% 202.84/202.77 [6409]~P1(f318(f318(f225(a920),x64091),x64093))+P1(f318(f318(f225(a920),x64091),f318(f318(f73(a920),x64092),x64093)))
% 202.84/202.77 [6411]~P1(f318(f318(f225(a920),x64111),x64112))+P1(f318(f318(f225(a920),x64111),f318(f318(f73(a920),x64112),x64113)))
% 202.84/202.77 [6413]~P1(f318(f318(f226(a920),x64131),x64133))+P1(f318(f318(f226(a920),x64131),f318(f318(f73(a920),x64132),x64133)))
% 202.84/202.77 [6415]~P1(f318(f318(f226(a920),x64151),x64152))+P1(f318(f318(f226(a920),x64151),f318(f318(f73(a920),x64152),x64153)))
% 202.84/202.77 [6454]P1(f318(f55(x64541),x64542))+~P1(f318(f55(x64541),f318(f318(f300(x64541),x64543),x64542)))
% 202.84/202.77 [6455]P1(f318(f128(x64551),x64552))+~P1(f318(f128(x64551),f318(f318(f142(x64551),x64553),x64552)))
% 202.84/202.77 [6456]P1(f318(f128(x64561),x64562))+~P1(f318(f128(x64561),f318(f318(f125(x64561),x64563),x64562)))
% 202.84/202.77 [6457]P1(f318(f128(x64571),x64572))+~P1(f318(f128(x64571),f318(f318(f125(x64571),x64572),x64573)))
% 202.84/202.77 [6509]~P118(x65091)+E(f318(f318(f73(x65091),x65092),f318(f318(f74(x65091),x65093),x65092)),f318(f318(f74(x65091),f318(f318(f73(x65091),x65093),f71(x65091))),x65092))
% 202.84/202.77 [6556]~E(x65561,x65562)+~P1(f318(f318(f226(f927(x65563,a918)),x65561),x65562))
% 202.84/202.77 [6602]P1(f318(f318(f320(x66021),x66022),x66023))+P1(f318(f318(f320(x66021),x66022),f318(f72(f927(x66021,a918)),x66023)))
% 202.84/202.77 [6608]E(f135(x66081,f318(f318(f129(x66081),x66082),x66083)),f135(x66081,x66083))+~P1(f318(f318(f226(a920),x66082),f318(f180(f921(x66081)),x66083)))
% 202.84/202.77 [6609]E(f318(f318(f166(x66091),x66092),f105(x66091,x66093)),f318(f318(f166(x66091),x66092),x66093))+~P1(f318(f318(f226(a920),x66092),f318(f180(f921(x66091)),x66093)))
% 202.84/202.77 [6667]E(f318(f318(f318(f174(f921(x66671),f921(x66671)),x66672),f158(x66671)),x66673),x66673)+~E(f39(a920,x66672,f318(f180(f921(x66671)),x66673)),f2(a920))
% 202.84/202.77 [6674]~P8(x66741,x66743,x66742)+E(f318(f318(f280(x66741,x66741,x66741),f318(f277(x66741,x66741),x66742)),x66742),x66742)
% 202.84/202.77 [6717]~E(f318(f318(f101(f927(x67171,a918)),x67172),x67173),x67173)+P1(f318(f318(f225(f927(x67171,a918)),x67172),x67173))
% 202.84/202.77 [6722]~P58(x67221,x67221,x67223)+P58(x67221,x67221,f318(f318(f174(f926(x67221,x67221),a918),x67222),x67223))
% 202.84/202.77 [6725]~P1(f318(f318(f320(x67251),x67253),f318(f163(x67251),x67252)))+P1(f318(f318(f226(a920),f2(a920)),f318(f180(f921(x67251)),x67252)))
% 202.84/202.77 [6752]~P93(x67521)+E(f318(f69(x67521),f318(f318(f73(x67521),f318(f69(x67521),x67522)),f318(f69(x67521),x67523))),f318(f318(f73(x67521),f318(f69(x67521),x67522)),f318(f69(x67521),x67523)))
% 202.84/202.77 [6762]E(f318(f318(f30(a920),f318(f318(f74(a920),x67621),x67622)),f318(f318(f74(a920),x67621),x67623)),f318(f318(f30(a920),x67622),x67623))+~P1(f318(f318(f226(a920),f2(a920)),x67621))
% 202.84/202.77 [6909]~P1(f318(f55(x69091),x69093))+E(f318(f318(f58(x69091,f927(x69091,a918),f300(x69091)),x69092),x69093),f318(f318(f101(f927(x69091,a918)),x69093),x69092))
% 202.84/202.77 [6966]E(f318(f318(f92(f927(x69661,a918)),x69662),x69663),x69663)+~P1(f318(f318(f225(f927(x69661,a918)),x69663),x69662))
% 202.84/202.77 [6967]E(f318(f318(f92(f927(x69671,a918)),x69672),x69673),x69672)+~P1(f318(f318(f225(f927(x69671,a918)),x69672),x69673))
% 202.84/202.77 [6968]E(f318(f318(f101(f927(x69681,a918)),x69682),x69683),x69682)+~P1(f318(f318(f225(f927(x69681,a918)),x69683),x69682))
% 202.84/202.77 [6970]E(f318(f318(f101(f927(x69701,a918)),x69702),x69703),x69703)+~P1(f318(f318(f225(f927(x69701,a918)),x69702),x69703))
% 202.84/202.77 [7022]~P1(f318(f128(x70221),x70222))+E(f318(f318(f3(f927(x70221,a918)),f318(f163(x70221),x70222)),f318(f318(f300(x70221),x70223),f179(f927(x70221,a918)))),f318(f163(x70221),f161(x70221,x70223,x70222)))
% 202.84/202.77 [7077]P39(x70771,x70772)+~P39(x70771,f318(f318(f174(f926(x70771,x70771),a918),x70773),x70772))
% 202.84/202.77 [7094]~E(x70941,f2(a920))+P1(f318(f318(f278(a920),f318(f318(f74(a920),x70941),x70942)),f318(f318(f74(a920),x70941),x70943)))
% 202.84/202.77 [7144]P1(f318(f43(x71441,x71442),f318(a45,x71443)))+~P1(f318(f43(f318(f72(a1),x71441),f318(f72(a1),x71442)),x71443))
% 202.84/202.77 [7149]E(f318(f318(f3(f927(x71491,a918)),f318(f318(f300(x71491),x71492),x71493)),f318(f318(f300(x71491),x71492),f179(f927(x71491,a918)))),x71493)+P1(f318(f318(f320(x71491),x71492),x71493))
% 202.84/202.77 [7171]E(f318(f318(f92(f927(x71711,a918)),f318(f163(x71711),x71712)),f318(f163(x71711),x71713)),f179(f927(x71711,a918)))+~P1(f318(f128(x71711),f318(f318(f125(x71711),x71712),x71713)))
% 202.84/202.77 [7186]~P1(f318(f318(f320(x71861),x71862),f318(f163(x71861),x71863)))+~P1(f318(f128(x71861),f318(f318(f142(x71861),x71862),x71863)))
% 202.84/202.77 [7258]P33(x72581,x72582,x72583)+P1(f318(f318(f226(a920),f763(x72583,x72582,x72581)),f318(f180(f921(x72581)),x72583)))
% 202.84/202.77 [7268]E(f318(f318(f92(f927(x72681,a918)),x72682),x72683),f179(f927(x72681,a918)))+P1(f318(f318(f320(x72681),f436(x72683,x72682,x72681)),x72682))
% 202.84/202.77 [7269]E(f318(f318(f92(f927(x72691,a918)),x72692),x72693),f179(f927(x72691,a918)))+P1(f318(f318(f320(x72691),f458(x72693,x72692,x72691)),x72693))
% 202.84/202.77 [7272]E(f105(x72721,f318(f318(f166(x72721),x72722),x72723)),f318(f318(f166(x72721),f318(f318(f3(a920),x72722),f71(a920))),x72723))+~P1(f318(f318(f225(a920),x72722),f318(f180(f921(x72721)),x72723)))
% 202.84/202.77 [7333]~P35(x73333,x73332,x73331)+P1(f318(f318(f226(a920),f758(x73331,x73332,x73333)),f318(f180(f921(x73333)),x73331)))
% 202.84/202.77 [7353]P1(f318(f318(f226(a920),f2(a920)),x73531))+P1(f318(f318(f225(a920),f318(f318(f74(a920),x73532),x73531)),f318(f318(f74(a920),x73533),x73531)))
% 202.84/202.77 [7354]P1(f318(f318(f226(a920),f2(a920)),x73541))+P1(f318(f318(f225(a920),f318(f318(f74(a920),x73541),x73542)),f318(f318(f74(a920),x73541),x73543)))
% 202.84/202.77 [7357]~P1(f318(f318(f320(x73571),x73572),x73573))+~P1(f318(f318(f320(x73571),x73572),f318(f72(f927(x73571,a918)),x73573)))
% 202.84/202.77 [7363]~P1(f318(f318(f226(f927(x73631,a918)),x73632),x73633))+P1(f318(f318(f225(f927(x73631,a918)),x73632),x73633))
% 202.84/202.77 [7473]~P1(f318(f318(f225(a920),x74733),x74732))+P1(f318(f318(f225(a920),f318(f318(f3(a920),x74731),x74732)),f318(f318(f3(a920),x74731),x74733)))
% 202.84/202.77 [7474]~P1(f318(f318(f225(a920),x74741),x74743))+P1(f318(f318(f225(a920),f318(f318(f3(a920),x74741),x74742)),f318(f318(f3(a920),x74743),x74742)))
% 202.84/202.77 [7476]~P1(f318(f318(f225(a920),x74762),x74763))+P1(f318(f318(f225(a920),f318(f318(f74(a920),x74761),x74762)),f318(f318(f74(a920),x74761),x74763)))
% 202.84/202.77 [7478]~P1(f318(f318(f225(a920),x74781),x74783))+P1(f318(f318(f225(a920),f318(f318(f74(a920),x74781),x74782)),f318(f318(f74(a920),x74783),x74782)))
% 202.84/202.77 [7479]~P1(f318(f318(f225(a920),x74792),x74793))+P1(f318(f318(f225(a920),f318(f318(f73(a920),x74791),x74792)),f318(f318(f73(a920),x74791),x74793)))
% 202.84/202.77 [7480]~P1(f318(f318(f225(a920),x74801),x74803))+P1(f318(f318(f225(a920),f318(f318(f73(a920),x74801),x74802)),f318(f318(f73(a920),x74803),x74802)))
% 202.84/202.77 [7481]~P1(f318(f318(f225(a920),x74811),x74813))+P1(f318(f318(f225(a920),f318(f318(f30(a920),x74811),x74812)),f318(f318(f30(a920),x74813),x74812)))
% 202.84/202.77 [7482]~P1(f318(f318(f225(a1),x74822),x74823))+P1(f318(f318(f225(a1),f318(f318(f73(a1),x74821),x74822)),f318(f318(f73(a1),x74821),x74823)))
% 202.84/202.77 [7485]~P1(f318(f318(f226(a920),x74852),x74853))+P1(f318(f318(f226(a920),f318(f318(f73(a920),x74851),x74852)),f318(f318(f73(a920),x74851),x74853)))
% 202.84/202.77 [7486]~P1(f318(f318(f226(a920),x74861),x74863))+P1(f318(f318(f226(a920),f318(f318(f73(a920),x74861),x74862)),f318(f318(f73(a920),x74863),x74862)))
% 202.84/202.77 [7487]~P1(f318(f318(f226(a1),x74871),x74873))+P1(f318(f318(f226(a1),f318(f318(f73(a1),x74871),x74872)),f318(f318(f73(a1),x74873),x74872)))
% 202.84/202.77 [7490]~P1(f318(f318(f278(a920),x74902),x74903))+P1(f318(f318(f278(a920),f318(f318(f74(a920),x74901),x74902)),f318(f318(f74(a920),x74901),x74903)))
% 202.84/202.77 [7566]E(x75661,x75662)+~P1(f318(f318(f320(x75663),x75661),f318(f318(f300(x75663),x75662),f179(f927(x75663,a918)))))
% 202.84/202.77 [7568]~E(f318(f318(f92(f927(x75681,a918)),x75682),x75683),f179(f927(x75681,a918)))+P1(f318(f318(f225(f927(x75681,a918)),x75682),f318(f72(f927(x75681,a918)),x75683)))
% 202.84/202.77 [7573]P1(f318(f318(f320(f927(x75731,a918)),x75732),f318(f299(x75731),x75733)))+~P1(f318(f318(f225(f927(x75731,a918)),x75732),x75733))
% 202.84/202.77 [7622]E(f318(f318(f142(x76221),f318(f318(f155(x76221),x76222),x76223)),f318(f318(f129(x76221),f318(a103,x76223)),x76222)),f318(f318(f129(x76221),x76223),x76222))+~P1(f318(f318(f226(a920),x76223),f318(f180(f921(x76221)),x76222)))
% 202.84/202.77 [7648]P1(f318(f318(f320(f926(x76481,x76481)),x76482),f298(x76481,x76483)))+~P1(f318(f318(f320(f926(x76481,x76481)),x76482),x76483))
% 202.84/202.77 [7657]~P1(f318(f318(f320(f927(x76571,a918)),x76572),f318(f299(x76571),x76573)))+P1(f318(f318(f225(f927(x76571,a918)),x76572),x76573))
% 202.84/202.77 [7700]P1(f318(f318(f225(f927(x77001,a918)),x77002),f31(f927(x77001,a918),x77003)))+~P1(f318(f318(f320(f927(x77001,a918)),x77002),x77003))
% 202.84/202.77 [7724]~P146(x77241)+E(f318(f318(f74(x77241),f318(f318(f235(x77241),f318(f72(x77241),f71(x77241))),x77242)),f318(f318(f235(x77241),x77243),x77242)),f318(f318(f235(x77241),f318(f72(x77241),x77243)),x77242))
% 202.84/202.77 [7746]E(f318(f318(f155(x77461),x77462),f318(f318(f3(a920),f318(f180(f921(x77461)),x77462)),f318(a103,x77463))),f318(f318(f155(x77461),f318(f159(x77461),x77462)),x77463))+~P1(f318(f318(f226(a920),x77463),f318(f180(f921(x77461)),x77462)))
% 202.84/202.77 [7763]~E(f318(f318(f92(f927(x77631,a918)),f479(x77633,x77632,x77631)),x77633),f179(f927(x77631,a918)))+E(f318(f318(f92(f927(x77631,a918)),f31(f927(x77631,a918),x77632)),x77633),f179(f927(x77631,a918)))
% 202.84/202.77 [7827]~P1(f318(f318(f320(x78273),x78272),f318(f163(x78273),x78271)))+P1(f318(f318(f226(a920),f624(x78271,x78272,x78273)),f318(f180(f921(x78273)),x78271)))
% 202.84/202.77 [7835]P1(f318(f318(f320(x78351),f318(f318(f155(x78351),x78352),x78353)),f318(f163(x78351),x78352)))+~P1(f318(f318(f226(a920),x78353),f318(f180(f921(x78351)),x78352)))
% 202.84/202.77 [7933]~P1(f318(x79332,f723(x79333,x79332,x79331)))+E(f318(f318(f129(x79331),f318(f180(f921(x79331)),f168(x79331,x79332,x79333))),x79333),f104(x79331))
% 202.84/202.77 [7946]P1(f318(f318(f225(f927(f921(x79461),a918)),f152(x79461,x79462)),f152(x79461,x79463)))+~P1(f318(f318(f225(f927(x79461,a918)),x79462),x79463))
% 202.84/202.77 [7947]P1(f318(f318(f225(f927(f921(x79471),a918)),f151(x79471,x79472)),f151(x79471,x79473)))+~P1(f318(f318(f225(f927(x79471,a918)),x79472),x79473))
% 202.84/202.77 [7973]E(f318(f318(f92(f927(x79731,a918)),f31(f927(x79731,a918),x79732)),x79733),f179(f927(x79731,a918)))+P1(f318(f318(f320(f927(x79731,a918)),f479(x79733,x79732,x79731)),x79732))
% 202.84/202.77 [7975]~P1(f318(f318(f320(f927(x79751,a918)),x79753),x79752))+P1(f318(f318(f225(f927(x79751,a918)),f32(f927(x79751,a918),x79752)),x79753))
% 202.84/202.77 [7977]E(f318(f318(f92(f927(x79771,a918)),x79772),x79773),f179(f927(x79771,a918)))+~P1(f318(f318(f225(f927(x79771,a918)),x79772),f318(f72(f927(x79771,a918)),x79773)))
% 202.84/202.77 [8027]E(f318(f318(f3(a920),f318(f318(f73(a920),f318(f156(a920),x80271)),x80272)),f318(f318(f155(a920),x80271),x80273)),f318(f156(a920),f318(f318(f150(a920,x80271),x80273),x80272)))+~P1(f318(f318(f226(a920),x80273),f318(f180(f921(a920)),x80271)))
% 202.84/202.77 [8078]P1(f318(f318(f225(a920),x80781),x80782))+~P1(f318(f318(f225(a920),f318(f318(f73(a920),x80783),x80781)),f318(f318(f73(a920),x80783),x80782)))
% 202.84/202.77 [8081]P1(f318(f318(f226(a920),x80811),x80812))+~P1(f318(f318(f226(a920),f318(f318(f73(a920),x80813),x80811)),f318(f318(f73(a920),x80813),x80812)))
% 202.84/202.77 [8082]P1(f318(f318(f226(a920),x80821),x80822))+~P1(f318(f318(f226(a920),f318(f318(f74(a920),x80823),x80821)),f318(f318(f74(a920),x80823),x80822)))
% 202.84/202.77 [8083]P1(f318(f318(f226(a920),x80831),x80832))+~P1(f318(f318(f226(a920),f318(f318(f74(a920),x80831),x80833)),f318(f318(f74(a920),x80832),x80833)))
% 202.84/202.77 [8112]P1(f318(f318(f226(a920),f2(a920)),x81121))+~P1(f318(f318(f226(a920),f318(f318(f74(a920),x81122),x81121)),f318(f318(f74(a920),x81123),x81121)))
% 202.84/202.77 [8113]P1(f318(f318(f226(a920),f2(a920)),x81131))+~P1(f318(f318(f226(a920),f318(f318(f74(a920),x81131),x81132)),f318(f318(f74(a920),x81131),x81133)))
% 202.84/202.77 [8188]E(f238(x81881,x81882,x81883),x81882)+~P1(f318(f318(f225(f927(x81881,a918)),x81883),f318(f318(f300(x81881),x81882),f179(f927(x81881,a918)))))
% 202.84/202.77 [8238]~P1(f318(f128(x82381),x82383))+E(f318(f127(x82381,f318(f318(f10(a918,a918,x82381),a313),f318(a315,x82382))),x82383),f161(x82381,x82382,x82383))
% 202.84/202.77 [8263]E(f318(f318(f129(x82631),f318(f180(f921(x82631)),f168(x82631,x82632,x82633))),x82633),f104(x82631))+P1(f318(f318(f320(x82631),f723(x82633,x82632,x82631)),f318(f163(x82631),x82633)))
% 202.84/202.77 [8267]E(f318(f318(f125(x82671),f318(f318(f166(x82671),x82672),x82673)),f318(f318(f142(x82671),f318(f318(f155(x82671),x82673),x82672)),f104(x82671))),f318(f318(f166(x82671),f318(a103,x82672)),x82673))+~P1(f318(f318(f226(a920),x82672),f318(f180(f921(x82671)),x82673)))
% 202.84/202.77 [8335]E(f318(f127(x83351,f318(f318(f10(a918,a918,x83351),a313),f318(a315,x83352))),x83353),x83353)+P1(f318(f318(f320(x83351),x83352),f318(f163(x83351),x83353)))
% 202.84/202.77 [8341]P1(f318(f318(f225(f927(f927(x83411,a918),a918)),f239(x83411,x83412)),f239(x83411,x83413)))+~P1(f318(f318(f225(f927(x83411,a918)),x83412),x83413))
% 202.84/202.77 [8361]P1(f318(f318(f320(f927(x83611,a918)),f576(x83612,x83613,x83611)),x83613))+P1(f318(f318(f225(f927(x83611,a918)),f31(f927(x83611,a918),x83613)),x83612))
% 202.84/202.77 [8382]~P1(f318(f128(x83821),x83823))+P1(f318(f128(x83821),f318(f318(f318(f174(f921(x83821),f921(x83821)),x83822),f158(x83821)),x83823)))
% 202.84/202.77 [8388]~P1(f318(f318(f226(a920),x83882),x83883))+P1(f318(f318(f226(a920),f318(f318(f74(a920),f318(a103,x83881)),x83882)),f318(f318(f74(a920),f318(a103,x83881)),x83883)))
% 202.84/202.77 [8408]P1(f318(f318(f225(f927(f927(x84081,a918),a918)),f318(f299(x84081),x84082)),f318(f299(x84081),x84083)))+~P1(f318(f318(f225(f927(x84081,a918)),x84082),x84083))
% 202.84/202.77 [8477]~E(f318(f301(x84771,x84772,x84773),f233(f927(x84771,a918))),f233(f927(x84772,a918)))+E(f318(f66(x84771,x84772,x84772,x84773),f84(x84771,x84772,f233(f927(x84771,a918)),x84773)),f25(x84772))
% 202.84/202.77 [8571]~P1(f318(f318(f225(f927(x85711,a918)),x85713),x85712))+P1(f318(f318(f225(f927(x85711,a918)),f318(f72(f927(x85711,a918)),x85712)),f318(f72(f927(x85711,a918)),x85713)))
% 202.84/202.77 [8605]E(f318(f301(a920,a920,f318(f318(f9(a920,a920,a920),f3(a920)),x86051)),f318(f293(a920,x86052),x86053)),f318(f293(a920,f318(f318(f3(a920),x86052),x86051)),f318(f318(f3(a920),x86053),x86051)))+~P1(f318(f318(f226(a920),x86051),x86053))
% 202.84/202.77 [8631]~P89(x86311)+E(f318(f318(f73(x86311),x86312),f318(f133(x86311,x86311,f73(x86311),f2(x86311)),x86313)),f318(f133(x86311,x86311,f73(x86311),x86312),x86313))
% 202.84/202.77 [8690]~P1(f318(f318(f225(f927(x86901,a918)),f576(x86903,x86902,x86901)),x86903))+P1(f318(f318(f225(f927(x86901,a918)),f31(f927(x86901,a918),x86902)),x86903))
% 202.84/202.77 [8711]~P93(x87111)+P1(f318(f318(f225(x87111),f318(f69(x87111),f318(f318(f3(x87111),x87112),x87113))),f318(f318(f73(x87111),f318(f69(x87111),x87112)),f318(f69(x87111),x87113))))
% 202.84/202.77 [8712]~P93(x87121)+P1(f318(f318(f225(x87121),f318(f69(x87121),f318(f318(f73(x87121),x87122),x87123))),f318(f318(f73(x87121),f318(f69(x87121),x87122)),f318(f69(x87121),x87123))))
% 202.84/202.77 [8723]E(f318(f318(f73(a1),f318(f318(f74(a1),x87231),f39(a1,f318(f318(f30(a1),x87232),x87231),x87233))),f39(a1,x87232,x87231)),f39(a1,x87232,f318(f318(f74(a1),x87231),x87233)))+~P1(f318(f318(f226(a1),f2(a1)),x87233))
% 202.84/202.77 [8729]E(f318(f318(f125(x87291),f318(f318(f166(x87291),x87292),x87293)),f318(f318(f142(x87291),f318(f132(x87291),f318(f318(f129(x87291),x87292),x87293))),f104(x87291))),f318(f318(f166(x87291),f318(a103,x87292)),x87293))+~P1(f318(f318(f226(a920),x87292),f318(f180(f921(x87291)),x87293)))
% 202.84/202.77 [8749]E(f318(f259(x87491,f318(f318(f145(x87491,f926(a90,x87491)),f318(f243(a90,x87491),f71(a90))),x87492)),f318(a5,x87493)),f318(f318(f155(x87491),x87492),x87493))+~P1(f318(f318(f226(a920),x87493),f318(f180(f921(x87491)),x87492)))
% 202.84/202.77 [8818]P1(f318(f318(f320(f926(x88181,x88181)),x88182),f318(f318(f280(x88181,x88181,x88181),x88183),f298(x88181,x88183))))+~P1(f318(f318(f320(f926(x88181,x88181)),x88182),x88183))
% 202.84/202.77 [8829]E(f318(f301(x88291,x88292,x88293),f233(f927(x88291,a918))),f233(f927(x88292,a918)))+~E(f318(f66(x88291,x88292,x88292,x88293),f84(x88291,x88292,f233(f927(x88291,a918)),x88293)),f25(x88292))
% 202.84/202.77 [8838]P1(f318(f318(f225(a920),x88381),x88382))+~P1(f318(f318(f225(a920),f318(f318(f74(a920),f318(a103,x88383)),x88381)),f318(f318(f74(a920),f318(a103,x88383)),x88382)))
% 202.84/202.77 [8854]P1(f318(f318(f225(f927(x88541,a918)),x88542),x88543))+~P1(f318(f318(f225(f927(x88541,a918)),f318(f72(f927(x88541,a918)),x88543)),f318(f72(f927(x88541,a918)),x88542)))
% 202.84/202.77 [8877]P1(f318(f128(x88771),x88772))+~P1(f318(f128(x88771),f318(f318(f318(f174(f921(x88771),f921(x88771)),x88773),f158(x88771)),x88772)))
% 202.84/202.77 [8950]E(f318(f276(x89501,x89501,f298(x89501,x89502)),x89503),x89503)+~P1(f318(f318(f225(f927(x89501,a918)),f318(f276(x89501,x89501,x89502),x89503)),x89503))
% 202.84/202.77 [8999]~P4(x89991)+P13(x89991,f318(f127(x89991,f318(f318(f9(x89991,x89991,a918),a315),f318(x89992,x89993))),x89993))
% 202.84/202.77 [9006]~P1(f318(f318(f225(a920),x90061),x90062))+P1(f318(f318(f225(a920),x90061),f318(f133(a920,a920,f73(a920),x90062),x90063)))
% 202.84/202.77 [9094]~P1(f318(f318(f320(f926(x90941,x90941)),x90942),f298(x90941,x90943)))+P1(f318(f318(f320(f926(x90941,x90941)),x90942),f318(f318(f174(f926(x90941,x90941),a918),f627(x90943,x90942,x90941)),x90943)))
% 202.84/202.77 [9176]~P89(x91761)+E(f318(f318(f73(x91761),x91762),f318(f133(x91761,x91761,f318(f9(x91761,x91761,x91761),f73(x91761)),f2(x91761)),f318(f159(x91761),x91763))),f318(f133(x91761,x91761,f73(x91761),x91762),x91763))
% 202.84/202.77 [9295]~P26(x92952,x92951,x92953,f233(f927(x92952,a918)),f233(f927(x92951,a918)))+E(f84(x92951,x92952,f233(f927(x92951,a918)),f84(x92952,x92951,f233(f927(x92952,a918)),x92953)),x92953)
% 202.84/202.77 [9450]P58(x94501,x94502,x94503)+P1(f318(f318(f320(f926(x94501,x94502)),f318(f318(f243(x94501,x94502),f619(x94503,x94502,x94501)),f600(x94503,x94502,x94501))),x94503))
% 202.84/202.77 [9451]P58(x94511,x94512,x94513)+P1(f318(f318(f320(f926(x94511,x94512)),f318(f318(f243(x94511,x94512),f619(x94513,x94512,x94511)),f599(x94513,x94512,x94511))),x94513))
% 202.84/202.77 [9522]~P1(f318(f318(f320(f926(x95221,x95221)),x95222),f318(f318(f280(x95221,x95221,x95221),x95223),f298(x95221,x95223))))+P1(f318(f318(f320(f926(x95221,x95221)),x95222),f318(f318(f174(f926(x95221,x95221),a918),f629(x95223,x95222,x95221)),x95223)))
% 202.84/202.77 [9523]~P1(f318(x95231,f318(f318(f155(x95232),x95233),f318(f180(f921(x95232)),f168(x95232,x95231,x95233)))))+~P1(f318(f318(f226(a920),f318(f180(f921(x95232)),f168(x95232,x95231,x95233))),f318(f180(f921(x95232)),x95233)))
% 202.84/202.77 [9614]~P1(f318(f318(f225(f927(x96141,a918)),x96142),x96143))+P1(f318(f318(f225(f927(x96141,a918)),f318(f318(f9(x96141,f927(x96141,a918),a918),f320(x96141)),x96142)),f318(f318(f9(x96141,f927(x96141,a918),a918),f320(x96141)),x96143)))
% 202.84/202.77 [9673]~P1(f318(f318(f320(f926(f927(x96731,a918),f927(x96731,a918))),f318(f318(f243(f927(x96731,a918),f927(x96731,a918)),x96732),x96733)),f305(x96731)))+P1(f318(f318(f226(f927(x96731,a918)),x96732),x96733))
% 202.84/202.77 [9697]P59(x96971,x96972,x96973)+~P1(f318(f318(f320(f926(x96971,x96971)),f318(f318(f243(x96971,x96971),f622(x96973,x96972,x96971)),f621(x96973,x96972,x96971))),x96973))
% 202.84/202.77 [9698]P59(x96981,x96982,x96983)+~P1(f318(f318(f320(f926(x96981,x96981)),f318(f318(f243(x96981,x96981),f621(x96983,x96982,x96981)),f622(x96983,x96982,x96981))),x96983))
% 202.84/202.77 [9735]~P1(f318(f318(f320(f926(f921(x97351),f921(x97351))),f318(f318(f243(f921(x97351),f921(x97351)),x97352),x97352)),f138(x97351,x97353)))+P1(f318(f318(f320(f926(x97351,x97351)),f318(f318(f243(x97351,x97351),f662(x97352,x97353,x97351)),f662(x97352,x97353,x97351))),x97353))
% 202.84/202.77 [9785]P1(f318(f318(f225(f927(x97851,a918)),x97852),x97853))+~P1(f318(f318(f225(f927(x97851,a918)),f318(f318(f9(x97851,f927(x97851,a918),a918),f320(x97851)),x97852)),f318(f318(f9(x97851,f927(x97851,a918),a918),f320(x97851)),x97853)))
% 202.84/202.77 [9867]E(f318(f318(f3(a920),f318(f318(f8(a920,a920),x98671),f318(f273(a920),x98672))),f318(f318(f8(a920,a920),x98673),f318(f273(a920),x98672))),f318(f318(f8(a920,a920),f318(f318(f20(a920,a920,a920),f318(f318(f10(a920,f927(a920,a920),a920),f3(a920)),x98671)),x98673)),f318(f273(a920),x98672)))+~P1(f318(f318(f225(a920),f318(x98673,f514(x98672,x98671,x98673))),f318(x98671,f514(x98672,x98671,x98673))))
% 202.84/202.77 [5797]~P68(x57971)+E(f318(f318(f3(x57971),f318(f318(f73(x57971),x57972),x57973)),x57973),x57972)
% 202.84/202.77 [5798]~P68(x57981)+E(f318(f318(f73(x57981),f318(f318(f3(x57981),x57982),x57983)),x57983),x57982)
% 202.84/202.77 [6026]~P68(x60261)+E(f318(f318(f73(x60261),x60262),f318(f318(f73(x60261),f318(f72(x60261),x60262)),x60263)),x60263)
% 202.84/202.77 [6114]~P90(x61141)+E(f318(f318(f74(x61141),f318(f318(f235(x61141),x61142),x61143)),x61142),f318(f318(f235(x61141),x61142),f318(a103,x61143)))
% 202.84/202.77 [6115]~P118(x61151)+E(f318(f318(f74(x61151),f318(f318(f235(x61151),x61152),x61153)),x61152),f318(f318(f235(x61151),x61152),f318(a103,x61153)))
% 202.84/202.77 [6340]~P116(x63401)+E(f318(f69(x63401),f318(f318(f235(x63401),f318(f72(x63401),x63402)),x63403)),f318(f69(x63401),f318(f318(f235(x63401),x63402),x63403)))
% 202.84/202.77 [6391]~P90(x63911)+E(f318(f318(f74(x63911),f318(f318(f235(x63911),x63912),x63913)),x63912),f318(f318(f74(x63911),x63912),f318(f318(f235(x63911),x63912),x63913)))
% 202.84/202.77 [6445]E(f318(f318(f3(a90),f318(f318(f73(a90),x64451),x64452)),x64453),f265(x64451,x64452,x64453))+~P1(f318(f318(f226(a90),x64452),x64453))
% 202.84/202.77 [6469]~E(f318(f318(f129(x64691),x64693),x64692),f104(x64691))+P1(f318(f318(f225(a920),f318(f180(f921(x64691)),x64692)),x64693))
% 202.84/202.77 [6607]E(f318(f318(f74(a920),f318(f94(a920),x66071)),f318(f318(f74(a920),f318(f94(a920),x66072)),x66073)),f2(a920))+~P1(f318(f318(f226(a1),x66071),a76))
% 202.84/202.77 [6624]~P74(x66241)+E(f318(f318(f235(x66241),f318(f318(f282(x66241),f71(x66241)),x66242)),x66243),f318(f318(f282(x66241),f71(x66241)),f318(f318(f235(x66241),x66242),x66243)))
% 202.84/202.77 [6703]E(f318(f318(f3(a920),f318(f318(f73(a920),x67031),x67032)),x67033),f318(f318(f3(a920),x67031),f318(f318(f3(a920),x67033),x67032)))+~P1(f318(f318(f225(a920),x67032),x67033))
% 202.84/202.77 [6705]E(f318(f318(f3(a920),f318(f318(f73(a920),x67051),x67052)),x67053),f318(f318(f73(a920),x67051),f318(f318(f3(a920),x67052),x67053)))+~P1(f318(f318(f225(a920),x67053),x67052))
% 202.84/202.77 [6743]~P103(x67431)+P1(f318(f318(f225(x67431),f318(f318(f92(x67431),x67432),x67433)),x67433))
% 202.84/202.77 [6744]~P104(x67441)+P1(f318(f318(f225(x67441),f318(f318(f92(x67441),x67442),x67443)),x67443))
% 202.84/202.77 [6745]~P103(x67451)+P1(f318(f318(f225(x67451),f318(f318(f92(x67451),x67452),x67453)),x67452))
% 202.84/202.77 [6746]~P104(x67461)+P1(f318(f318(f225(x67461),f318(f318(f92(x67461),x67462),x67463)),x67462))
% 202.84/202.77 [6747]~P4(x67471)+P1(f318(f318(f225(x67471),f318(f318(f223(x67471),x67472),x67473)),x67473))
% 202.84/202.77 [6748]~P4(x67481)+P1(f318(f318(f225(x67481),f318(f318(f223(x67481),x67482),x67483)),x67482))
% 202.84/202.77 [6761]E(f318(f318(f30(a1),f318(f318(f30(a1),x67611),x67612)),x67613),f318(f318(f30(a1),x67611),f318(f318(f74(a1),x67612),x67613)))+~P1(f318(f318(f226(a1),f2(a1)),x67613))
% 202.84/202.77 [6817]~P118(x68171)+E(f318(f318(f73(x68171),f318(f318(f74(x68171),x68172),x68173)),x68173),f318(f318(f74(x68171),f318(f318(f73(x68171),x68172),f71(x68171))),x68173))
% 202.84/202.77 [6818]~P100(x68181)+E(f318(f318(f74(x68181),f318(f72(x68181),f318(f94(x68181),x68182))),x68183),f318(f318(f74(x68181),f318(f94(x68181),f318(f72(a1),x68182))),x68183))
% 202.84/202.77 [6893]~P89(x68931)+E(f318(f156(x68931),f318(f318(f145(x68932,x68931),f318(f18(x68931,x68932),f2(x68931))),x68933)),f2(x68931))
% 202.84/202.77 [6910]E(f318(f318(f73(a920),f318(f94(a920),x69101)),f318(f318(f73(a920),f318(f94(a920),x69102)),x69103)),f318(f318(f73(a920),f318(f94(a920),x69102)),x69103))+~P1(f318(a184,f318(f94(a1),x69101)))
% 202.84/202.77 [6925]~P5(x69251)+E(f32(x69251,f318(f318(f300(x69251),x69252),f318(f318(f300(x69251),x69253),f179(f927(x69251,a918))))),f318(f318(f92(x69251),x69252),x69253))
% 202.84/202.77 [6926]~P5(x69261)+E(f31(x69261,f318(f318(f300(x69261),x69262),f318(f318(f300(x69261),x69263),f179(f927(x69261,a918))))),f318(f318(f101(x69261),x69262),x69263))
% 202.84/202.77 [6949]E(f318(f318(f166(x69491),x69492),x69493),x69493)+~P1(f318(f318(f225(a920),f318(f180(f921(x69491)),x69493)),x69492))
% 202.84/202.77 [6961]E(f318(f318(f129(x69611),x69612),x69613),f104(x69611))+~P1(f318(f318(f225(a920),f318(f180(f921(x69611)),x69613)),x69612))
% 202.84/202.77 [6972]E(f318(f318(f73(a920),f318(f318(f3(a920),x69721),x69722)),x69723),f318(f318(f3(a920),f318(f318(f73(a920),x69721),x69723)),x69722))+~P1(f318(f318(f225(a920),x69722),x69721))
% 202.84/202.77 [6986]~P1(f318(f318(f226(a920),x69861),x69863))+P1(f318(f318(f226(a920),f318(f318(f3(a920),x69861),x69862)),x69863))
% 202.84/202.77 [7014]~P4(x70141)+E(f161(x70141,x70142,f318(f318(f139(x70141,x70141,f7(x70141)),x70142),x70143)),x70143)
% 202.84/202.77 [7107]E(f318(f318(f3(a920),f318(f318(f73(a920),x71071),x71072)),f318(a103,x71073)),f318(f318(f3(a920),x71071),f318(a103,f318(f318(f3(a920),x71073),x71072))))+~P1(f318(f318(f225(a920),x71072),x71073))
% 202.84/202.77 [7108]~P116(x71081)+P1(f318(f318(f225(x71081),f2(x71081)),f318(f318(f235(x71081),f318(f69(x71081),x71082)),x71083)))
% 202.84/202.77 [7154]P14(x71541,x71542,x71543)+~P1(f318(f318(f225(f927(f919(x71541),a918)),x71543),x71542))
% 202.84/202.77 [7197]~P1(f318(f55(x71971),x71973))+P1(f318(f55(x71971),f318(f318(f92(f927(x71971,a918)),x71972),x71973)))
% 202.84/202.77 [7198]~P1(f318(f55(x71981),x71982))+P1(f318(f55(x71981),f318(f318(f92(f927(x71981,a918)),x71982),x71983)))
% 202.84/202.77 [7199]~P1(f318(f55(x71991),x71992))+P1(f318(f55(x71991),f318(f318(f3(f927(x71991,a918)),x71992),x71993)))
% 202.84/202.77 [7343]~P39(x73431,x73433)+P39(x73431,f318(f318(f92(f927(f926(x73431,x73431),a918)),x73432),x73433))
% 202.84/202.77 [7344]~P39(x73441,x73442)+P39(x73441,f318(f318(f92(f927(f926(x73441,x73441),a918)),x73442),x73443))
% 202.84/202.77 [7469]~P104(x74691)+E(f12(x74691,f318(f163(x74691),f318(f318(f142(x74691),x74692),x74693))),f318(f133(x74691,x74691,f92(x74691),x74692),x74693))
% 202.84/202.77 [7470]~P104(x74701)+E(f15(x74701,f318(f163(x74701),f318(f318(f142(x74701),x74702),x74703))),f318(f133(x74701,x74701,f101(x74701),x74702),x74703))
% 202.84/202.77 [7471]~P4(x74711)+E(f16(x74711,f318(f163(x74711),f318(f318(f142(x74711),x74712),x74713))),f318(f133(x74711,x74711,f223(x74711),x74712),x74713))
% 202.84/202.77 [7472]~P4(x74721)+E(f17(x74721,f318(f163(x74721),f318(f318(f142(x74721),x74722),x74723))),f318(f133(x74721,x74721,f224(x74721),x74722),x74723))
% 202.84/202.77 [7533]~P1(f318(f55(x75331),x75332))+P1(f318(f318(f225(a920),f318(f29(x75331),x75332)),f318(f29(x75331),f318(f318(f300(x75331),x75333),x75332))))
% 202.84/202.77 [7540]E(f318(f318(f101(f927(a920,a918)),f318(f293(a920,x75401),x75402)),f318(f293(a920,x75402),f318(f318(f73(a920),x75402),x75403))),f318(f293(a920,x75401),f318(f318(f73(a920),x75402),x75403)))+~P1(f318(f318(f225(a920),x75401),x75402))
% 202.84/202.77 [7549]P1(f318(f318(f225(a920),x75491),x75492))+~P1(f318(f318(f225(a920),f318(f318(f73(a920),x75493),x75491)),x75492))
% 202.84/202.77 [7550]P1(f318(f318(f225(a920),x75501),x75502))+~P1(f318(f318(f225(a920),f318(f318(f73(a920),x75501),x75503)),x75502))
% 202.84/202.77 [7551]P1(f318(f318(f226(a920),x75511),x75512))+~P1(f318(f318(f226(a920),f318(f318(f73(a920),x75511),x75513)),x75512))
% 202.84/202.77 [7590]~P4(x75901)+E(f13(x75901,f223(x75901),f318(f163(x75901),f318(f318(f142(x75901),x75902),x75903))),f318(f133(x75901,x75901,f223(x75901),x75902),x75903))
% 202.84/202.77 [7591]~P4(x75911)+E(f14(x75911,f224(x75911),f318(f163(x75911),f318(f318(f142(x75911),x75912),x75913))),f318(f133(x75911,x75911,f224(x75911),x75912),x75913))
% 202.84/202.77 [7595]~E(x75952,f179(f927(f926(x75951,x75951),a918)))+P1(f318(f318(f225(f927(f926(x75951,x75951),a918)),x75952),x75953))
% 202.84/202.77 [7695]E(f318(f318(f101(f927(x76951,a918)),x76952),f318(f318(f3(f927(x76951,a918)),x76953),x76952)),x76953)+~P1(f318(f318(f225(f927(x76951,a918)),x76952),x76953))
% 202.84/202.77 [7696]~P1(f318(f318(f225(a920),x76961),f318(f318(f73(a920),x76963),x76962)))+P1(f318(f318(f225(a920),f318(f318(f3(a920),x76961),x76962)),x76963))
% 202.84/202.77 [7697]~P1(f318(f318(f226(a920),x76971),f318(f318(f3(a920),x76973),x76972)))+P1(f318(f318(f226(a920),f318(f318(f73(a920),x76971),x76972)),x76973))
% 202.84/202.77 [7753]E(x77531,f104(x77532))+E(f318(f132(x77532),f318(f318(f318(f174(f921(x77532),f921(x77532)),x77533),f158(x77532)),x77531)),f318(f318(f155(x77532),x77531),f39(a920,x77533,f318(f180(f921(x77532)),x77531))))
% 202.84/202.77 [7762]E(f318(f318(f300(x77621),x77622),f318(f318(f3(f927(x77621,a918)),x77623),f318(f318(f300(x77621),x77622),f179(f927(x77621,a918))))),x77623)+~P1(f318(f318(f320(x77621),x77622),x77623))
% 202.84/202.77 [7924]P1(f318(f318(f225(a920),x79241),f318(f318(f73(a920),x79242),x79243)))+~P1(f318(f318(f225(a920),f318(f318(f3(a920),x79241),x79243)),x79242))
% 202.84/202.77 [7925]P1(f318(f318(f226(a920),x79251),f318(f318(f3(a920),x79252),x79253)))+~P1(f318(f318(f226(a920),f318(f318(f73(a920),x79251),x79253)),x79252))
% 202.84/202.77 [7950]P1(f318(f55(x79501),x79502))+~P1(f318(f55(x79501),f318(f318(f101(f927(x79501,a918)),x79503),x79502)))
% 202.84/202.77 [7951]P1(f318(f55(x79511),x79512))+~P1(f318(f55(x79511),f318(f318(f101(f927(x79511,a918)),x79512),x79513)))
% 202.84/202.77 [8025]~P48(x80251,x80253)+P1(f318(f318(f320(f926(x80251,x80251)),f318(f318(f243(x80251,x80251),x80252),x80252)),x80253))
% 202.84/202.77 [8160]E(f318(f318(f155(a920),f130(a920,f318(f293(a920,x81601),x81602))),x81603),f318(f318(f73(a920),x81601),x81603))+~P1(f318(f318(f226(a920),f318(f318(f73(a920),x81601),x81603)),x81602))
% 202.84/202.77 [8227]E(f318(f318(f166(a920),x82271),f130(a920,f318(f293(a920,x82272),x82273))),f130(a920,f318(f293(a920,x82272),f318(f318(f73(a920),x82272),x82271))))+~P1(f318(f318(f225(a920),f318(f318(f73(a920),x82272),x82271)),x82273))
% 202.84/202.77 [8284]~P100(x82841)+E(f318(f318(f235(x82841),x82842),f318(f94(a920),f318(f318(f73(a1),x82843),x82843))),f318(f318(f79(x82841,x82841),f318(f318(f235(x82841),x82842),f318(f94(a920),x82843))),f318(f318(f20(x82841,x82841,x82841),f74(x82841)),f7(x82841))))
% 202.84/202.77 [8552]E(f318(f318(f125(x85521),f318(f318(f166(x85521),x85522),x85523)),f318(f318(f142(x85521),f318(f318(f155(x85521),x85523),x85522)),f318(f318(f129(x85521),f318(a103,x85522)),x85523))),x85523)+~P1(f318(f318(f226(a920),x85522),f318(f180(f921(x85521)),x85523)))
% 202.84/202.77 [8559]P1(f318(f318(f225(f927(x85591,a918)),f306(x85591,x85592)),f306(x85591,x85593)))+~P1(f318(f318(f225(f927(x85591,f927(x85591,a918))),x85593),x85592))
% 202.84/202.77 [8560]~P59(x85601,x85602,x85603)+P59(x85601,x85602,f318(f318(f3(f927(f926(x85601,x85601),a918)),x85603),f298(x85601,f179(f927(f926(x85601,x85601),a918)))))
% 202.84/202.77 [8579]P1(f318(f318(f225(f927(x85791,a918)),f307(x85791,x85792)),f307(x85791,x85793)))+~P1(f318(f318(f225(f927(f926(x85791,x85791),a918)),x85793),x85792))
% 202.84/202.77 [8585]~P1(f318(f318(f226(f927(x85851,a918)),x85853),x85852))+P1(f318(f318(f320(x85851),f635(x85852,x85853,x85851)),f318(f318(f3(f927(x85851,a918)),x85852),x85853)))
% 202.84/202.77 [8587]~P132(x85871)+P1(f318(f318(f225(x85871),f2(x85871)),f318(f318(f73(x85871),f318(f318(f74(x85871),x85872),x85872)),f318(f318(f74(x85871),x85873),x85873))))
% 202.84/202.77 [8620]P1(f318(f318(f225(f927(x86201,a918)),f318(f272(x86201),x86202)),f318(f272(x86201),x86203)))+~P1(f318(f318(f225(f927(f926(x86201,x86201),a918)),x86202),x86203))
% 202.84/202.77 [8651]~P57(x86511,x86512)+~P1(f318(f318(f320(f926(x86511,x86511)),f318(f318(f243(x86511,x86511),x86513),x86513)),x86512))
% 202.84/202.77 [8653]~P39(x86531,x86532)+~P1(f318(f318(f320(f926(x86531,x86531)),f318(f318(f243(x86531,x86531),x86533),x86533)),x86532))
% 202.84/202.77 [8713]P1(f318(f318(f225(f927(x87131,a918)),f32(f927(x87131,a918),x87132)),f32(f927(x87131,a918),x87133)))+~P1(f318(f318(f225(f927(f927(x87131,a918),a918)),x87133),x87132))
% 202.84/202.77 [8714]P1(f318(f318(f225(f927(x87141,a918)),f31(f927(x87141,a918),x87142)),f31(f927(x87141,a918),x87143)))+~P1(f318(f318(f225(f927(f927(x87141,a918),a918)),x87142),x87143))
% 202.84/202.77 [8768]~P8(x87681,x87683,x87682)+P1(f318(f318(f225(f927(f926(x87681,x87681),a918)),x87682),f318(f318(f245(x87681,x87681),x87683),f318(f18(f927(x87681,a918),x87681),x87683))))
% 202.84/202.77 [8769]~P56(x87691,x87693,x87692)+P1(f318(f318(f225(f927(f926(x87691,x87691),a918)),x87692),f318(f318(f245(x87691,x87691),x87693),f318(f18(f927(x87691,a918),x87691),x87693))))
% 202.84/202.77 [8819]~P93(x88191)+P1(f318(f318(f225(x88191),f318(f318(f3(x88191),f318(f69(x88191),x88192)),f318(f69(x88191),x88193))),f318(f69(x88191),f318(f318(f3(x88191),x88193),x88192))))
% 202.84/202.77 [8820]~P93(x88201)+P1(f318(f318(f225(x88201),f318(f318(f3(x88201),f318(f69(x88201),x88202)),f318(f69(x88201),x88203))),f318(f69(x88201),f318(f318(f3(x88201),x88202),x88203))))
% 202.84/202.77 [8852]P1(f318(f318(f225(f927(f926(x88521,x88521),a918)),f298(x88521,x88522)),f298(x88521,x88523)))+~P1(f318(f318(f225(f927(f926(x88521,x88521),a918)),x88522),x88523))
% 202.84/202.77 [8963]~P25(x89632,x89631,x89633,f233(f927(x89632,a918)))+E(f318(f66(x89631,x89632,x89632,f84(x89632,x89631,f233(f927(x89632,a918)),x89633)),x89633),f25(x89632))
% 202.84/202.77 [9024]P59(x90241,x90242,x90243)+~P59(x90241,x90242,f318(f318(f3(f927(f926(x90241,x90241),a918)),x90243),f298(x90241,f179(f927(f926(x90241,x90241),a918)))))
% 202.84/202.77 [9044]P1(f318(f318(f225(f927(f926(f921(x90441),f921(x90441)),a918)),f148(x90441,x90442)),f148(x90441,x90443)))+~P1(f318(f318(f225(f927(f926(x90441,x90441),a918)),x90442),x90443))
% 202.84/202.77 [9045]P1(f318(f318(f225(f927(f926(f921(x90451),f921(x90451)),a918)),f149(x90451,x90452)),f149(x90451,x90453)))+~P1(f318(f318(f225(f927(f926(x90451,x90451),a918)),x90452),x90453))
% 202.84/202.77 [9066]~P56(x90661,x90663,x90662)+P1(f318(f318(f225(f927(f926(x90661,x90661),a918)),x90662),f318(f318(f280(x90661,x90661,x90661),f318(f277(x90661,x90661),x90662)),x90662)))
% 202.84/202.77 [9121]~P1(f318(f128(x91211),x91212))+E(f318(f127(x91211,f318(f318(f9(x91211,f927(x91211,a918),a918),f320(x91211)),f318(f163(x91211),f167(x91211,x91212,x91213)))),x91212),f167(x91211,x91212,x91213))
% 202.84/202.77 [9174]E(x91741,x91742)+~P1(f318(f318(f320(f926(x91743,x91743)),f318(f318(f243(x91743,x91743),x91741),x91742)),f298(x91743,f179(f927(f926(x91743,x91743),a918)))))
% 202.84/202.77 [9258]P1(f318(f318(f320(x92581),x92582),f307(x92581,x92583)))+P1(f318(f318(f320(f926(x92581,x92581)),f318(f318(f243(x92581,x92581),f542(x92583,x92582,x92581)),x92582)),x92583))
% 202.84/202.77 [9259]P1(f318(f318(f320(x92591),x92592),f307(x92591,x92593)))+P1(f318(f318(f320(f926(x92591,x92591)),f318(f318(f243(x92591,x92591),f605(x92593,x92592,x92591)),x92592)),x92593))
% 202.84/202.77 [9260]P1(f318(f318(f320(x92601),x92602),f307(x92601,x92603)))+P1(f318(f318(f320(f926(x92601,x92601)),f318(f318(f243(x92601,x92601),f607(x92603,x92602,x92601)),x92602)),x92603))
% 202.84/202.77 [9296]P25(x92961,x92962,x92963,f233(f927(x92961,a918)))+~E(f318(f66(x92962,x92961,x92961,f84(x92961,x92962,f233(f927(x92961,a918)),x92963)),x92963),f25(x92961))
% 202.84/202.77 [9349]~P1(f318(f318(f320(f921(x93491)),x93493),f152(x93491,x93492)))+P1(f318(f151(x93491,f318(f318(f9(x93491,f927(x93491,a918),a918),f320(x93491)),x93492)),x93493))
% 202.84/202.77 [9374]P1(f318(x93743,x93742))+E(f318(f253(x93741),f318(f318(f20(x93741,a918,a918),f318(f318(f10(a918,f927(a918,a918),x93741),a316),f318(a315,x93742))),x93743)),f179(f927(x93741,a918)))
% 202.84/202.77 [9390]~P93(x93901)+P1(f318(f318(f225(x93901),f318(f69(x93901),f318(f318(f3(x93901),f318(f69(x93901),x93902)),f318(f69(x93901),x93903)))),f318(f69(x93901),f318(f318(f3(x93901),x93902),x93903))))
% 202.84/202.77 [9405]~P1(f318(x94053,x94052))+E(f318(f253(x94051),f318(f318(f20(x94051,a918,a918),f318(f318(f10(a918,f927(a918,a918),x94051),a316),f318(a315,x94052))),x94053)),f318(f318(f300(x94051),x94052),f179(f927(x94051,a918))))
% 202.84/202.77 [9414]~P1(f318(f318(f320(f927(x94141,a918)),x94143),f318(f299(x94141),x94142)))+P1(f318(f239(x94141,f318(f318(f9(x94141,f927(x94141,a918),a918),f320(x94141)),x94142)),x94143))
% 202.84/202.77 [9449]P39(x94491,x94492)+P1(f318(f318(f320(f926(x94491,x94491)),f318(f318(f243(x94491,x94491),f318(f577(x94492,x94491),f318(a103,x94493))),f318(f577(x94492,x94491),x94493))),x94492))
% 202.84/202.77 [9591]P1(f318(f318(f320(f921(x95911)),x95912),f152(x95911,x95913)))+~P1(f318(f151(x95911,f318(f318(f9(x95911,f927(x95911,a918),a918),f320(x95911)),x95913)),x95912))
% 202.84/202.77 [9606]P1(f318(f318(f320(f927(x96061,a918)),x96062),f318(f299(x96061),x96063)))+~P1(f318(f239(x96061,f318(f318(f9(x96061,f927(x96061,a918),a918),f320(x96061)),x96063)),x96062))
% 202.84/202.77 [9668]P1(f318(f318(f320(x96681),f318(f259(x96681,x96682),x96683)),f318(f163(x96681),f318(f318(f145(f926(a90,x96681),x96681),f247(a90,x96681)),x96682))))+~P1(f318(f318(f226(a90),x96683),f318(f156(a90),f318(f318(f145(f926(a90,x96681),a90),f242(a90,x96681)),x96682))))
% 202.84/202.77 [9714]P1(f318(f318(f225(f927(f926(f921(x97141),f921(x97141)),a918)),f149(x97141,x97142)),f318(f318(f245(f921(x97141),f921(x97141)),f152(x97141,x97143)),f318(f18(f927(f921(x97141),a918),f921(x97141)),f152(x97141,x97143)))))+~P1(f318(f318(f225(f927(f926(x97141,x97141),a918)),x97142),f318(f318(f245(x97141,x97141),x97143),f318(f18(f927(x97141,a918),x97141),x97143))))
% 202.84/202.77 [9738]P1(f318(f318(f320(x97381),f318(f242(x97381,f926(a90,a90)),f318(f257(x97381,x97382),x97383))),f318(f163(x97381),f318(f318(f145(f926(a90,x97381),x97381),f247(a90,x97381)),x97382))))+~P1(f318(f318(f226(a90),f2(a90)),f318(f156(a90),f318(f318(f145(f926(a90,x97381),a90),f242(a90,x97381)),x97382))))
% 202.84/202.77 [9753]~P1(f318(f318(f225(f927(f926(x97531,x97531),a918)),x97532),f318(f318(f245(x97531,x97531),x97533),f318(f18(f927(x97531,a918),x97531),x97533))))+P1(f318(f318(f225(f927(f926(x97531,x97531),a918)),f318(f318(f280(x97531,x97531,x97531),x97532),f298(x97531,x97532))),f318(f318(f245(x97531,x97531),x97533),f318(f18(f927(x97531,a918),x97531),x97533))))
% 202.84/202.77 [10059]~P39(x100591,x100592)+~P1(f318(f318(f320(f926(x100591,x100591)),f318(f318(f243(x100591,x100591),f318(x100593,f318(a103,f578(x100592,x100591,x100593)))),f318(x100593,f578(x100592,x100591,x100593)))),x100592))
% 202.84/202.77 [10060]~P39(x100601,x100602)+~P1(f318(f318(f320(f926(x100601,x100601)),f318(f318(f243(x100601,x100601),f318(x100603,f318(a103,f616(x100603,x100602,x100601)))),f318(x100603,f616(x100603,x100602,x100601)))),x100602))
% 202.84/202.77 [10316]P1(f318(f318(f225(f927(f926(f927(x103161,a918),f927(x103161,a918)),a918)),f318(f318(f280(f927(x103161,a918),f927(x103161,a918),f927(x103161,a918)),f309(x103161,x103162)),f318(f318(f101(f927(f926(f927(x103161,a918),f927(x103161,a918)),a918)),f309(x103161,x103163)),f318(f318(f300(f926(f927(x103161,a918),f927(x103161,a918))),f318(f318(f243(f927(x103161,a918),f927(x103161,a918)),f179(f927(x103161,a918))),f179(f927(x103161,a918)))),f179(f927(f926(f927(x103161,a918),f927(x103161,a918)),a918)))))),f309(x103161,x103162)))+~P1(f318(f318(f225(f927(f926(x103161,x103161),a918)),f318(f318(f280(x103161,x103161,x103161),x103162),x103163)),x103162))
% 202.84/202.77 [10317]P1(f318(f318(f225(f927(f926(f927(x103171,a918),f927(x103171,a918)),a918)),f318(f318(f280(f927(x103171,a918),f927(x103171,a918),f927(x103171,a918)),f310(x103171,x103172)),f318(f318(f101(f927(f926(f927(x103171,a918),f927(x103171,a918)),a918)),f310(x103171,x103173)),f318(f318(f300(f926(f927(x103171,a918),f927(x103171,a918))),f318(f318(f243(f927(x103171,a918),f927(x103171,a918)),f179(f927(x103171,a918))),f179(f927(x103171,a918)))),f179(f927(f926(f927(x103171,a918),f927(x103171,a918)),a918)))))),f310(x103171,x103172)))+~P1(f318(f318(f225(f927(f926(x103171,x103171),a918)),f318(f318(f280(x103171,x103171,x103171),x103172),x103173)),x103172))
% 202.84/202.77 [7468]~P1(f318(f318(f225(a920),x74682),x74681))+E(f318(f318(f3(a920),f318(a103,f318(f318(f3(a920),x74681),x74682))),x74683),f318(f318(f3(a920),f318(a103,x74681)),f318(f318(f73(a920),x74682),x74683)))
% 202.84/202.77 [7508]~P70(x75081)+E(f318(f318(f73(x75081),f39(x75081,x75082,x75083)),f318(f318(f74(x75081),f318(f318(f30(x75081),x75082),x75083)),x75083)),x75082)
% 202.84/202.77 [7701]E(f318(f318(f74(a920),f318(f94(a920),x77011)),f318(f318(f74(a920),f318(f94(a920),x77012)),x77013)),f318(f318(f74(a920),f318(f94(a920),f318(f318(f74(a1),x77011),x77012))),x77013))+P1(f318(f318(f226(a1),x77011),a76))
% 202.84/202.77 [8169]~P1(f318(f318(f225(a920),x81693),x81692))+P1(f318(f318(f225(a920),x81691),f318(f318(f3(a920),f318(f318(f73(a920),x81692),x81691)),x81693)))
% 202.84/202.77 [8373]~P1(f318(f318(f225(a920),x83731),x83732))+E(f318(f318(f125(a920),f130(a920,f318(f293(a920,x83731),x83732))),f130(a920,f318(f293(a920,x83732),f318(f318(f73(a920),x83732),x83733)))),f130(a920,f318(f293(a920,x83731),f318(f318(f73(a920),x83732),x83733))))
% 202.84/202.77 [8628]~P1(f318(f55(x86281),x86282))+E(f318(a103,f318(f29(x86281),f318(f318(f3(f927(x86281,a918)),x86282),f318(f318(f300(x86281),x86283),f179(f927(x86281,a918)))))),f318(f29(x86281),f318(f318(f300(x86281),x86283),x86282)))
% 202.84/202.77 [8669]~P1(f318(f55(x86691),x86692))+E(f318(f318(f73(a920),f71(a920)),f318(f29(x86691),f318(f318(f3(f927(x86691,a918)),x86692),f318(f318(f300(x86691),x86693),f179(f927(x86691,a918)))))),f318(f29(x86691),f318(f318(f300(x86691),x86693),x86692)))
% 202.84/202.77 [8861]E(f318(f318(f3(a920),f318(f29(x88611),x88612)),f318(f29(x88611),f318(f318(f92(f927(x88611,a918)),x88612),x88613))),f318(f29(x88611),f318(f318(f3(f927(x88611,a918)),x88612),x88613)))+~P1(f318(f55(x88611),f318(f318(f92(f927(x88611,a918)),x88612),x88613)))
% 202.84/202.77 [9116]~P6(f318(x91162,f500(x91162,x91163,x91161)))+E(f318(f91(a1),f318(f318(f11(x91161,a920),f318(f318(f10(a1,a920,x91161),a95),x91162)),x91163)),f318(f318(f11(x91161,a1),x91162),x91163))
% 202.84/202.77 [9117]~P6(f318(x91172,f506(x91172,x91173,x91171)))+E(f318(f91(a1),f318(f318(f8(x91171,a920),f318(f318(f10(a1,a920,x91171),a95),x91172)),x91173)),f318(f318(f8(x91171,a1),x91172),x91173))
% 202.84/202.77 [9157]~P1(f318(f55(x91571),x91573))+P1(f318(f318(f225(a920),f318(f318(f3(a920),f318(f29(x91571),x91572)),f318(f29(x91571),x91573))),f318(f29(x91571),f318(f318(f3(f927(x91571,a918)),x91572),x91573))))
% 202.84/202.77 [9185]P1(f318(f318(f320(x91851),f500(x91852,x91853,x91851)),x91853))+E(f318(f91(a1),f318(f318(f11(x91851,a920),f318(f318(f10(a1,a920,x91851),a95),x91852)),x91853)),f318(f318(f11(x91851,a1),x91852),x91853))
% 202.84/202.77 [9186]P1(f318(f318(f320(x91861),f506(x91862,x91863,x91861)),x91863))+E(f318(f91(a1),f318(f318(f8(x91861,a920),f318(f318(f10(a1,a920,x91861),a95),x91862)),x91863)),f318(f318(f8(x91861,a1),x91862),x91863))
% 202.84/202.77 [9250]E(f78(x92501,f318(f318(f9(x92501,f927(x92501,a918),a918),f320(x92501)),f318(f318(f3(f927(x92501,a918)),x92502),f318(f318(f300(x92501),x92503),f179(f927(x92501,a918)))))),f238(x92501,x92503,x92502))+P1(f318(f318(f225(f927(x92501,a918)),x92502),f318(f318(f300(x92501),x92503),f179(f927(x92501,a918)))))
% 202.84/202.77 [9607]E(f318(f318(f145(f921(x96071),x96071),f318(f318(f9(f921(x96071),a920,x96071),f155(x96071)),x96072)),f318(f127(f921(x96071),f318(f318(f10(a920,a918,f921(x96071)),f318(f226(a920),x96072)),f180(f921(x96071)))),x96073)),f318(f318(f155(f921(x96071)),f170(x96071,x96073)),x96072))+~P1(f318(f318(f226(a920),x96072),f318(f180(f921(f921(x96071))),f170(x96071,x96073))))
% 202.84/202.77 [9688]E(f318(f127(x96881,x96882),x96883),f168(x96881,x96882,x96883))+P1(f318(f318(f320(x96881),f726(x96883,x96882,x96881)),f318(f163(x96881),f318(f318(f129(x96881),f318(f180(f921(x96881)),f168(x96881,x96882,x96883))),x96883))))
% 202.84/202.77 [9827]E(f318(f318(f129(x98271),f318(f180(f921(x98271)),f168(x98271,x98272,x98273))),x98273),f104(x98271))+~P1(f318(x98272,f318(f132(x98271),f318(f318(f129(x98271),f318(f180(f921(x98271)),f168(x98271,x98272,x98273))),x98273))))
% 202.84/202.77 [9921]~P1(f318(f318(f320(f926(x99211,x99211)),x99212),f298(x99211,x99213)))+P1(f318(f318(f320(f926(x99211,x99211)),x99212),f318(f318(f33(a920,f927(f926(x99211,x99211),a918)),f233(f927(a920,a918))),f318(f318(f9(a920,f927(f926(x99211,x99211),a918),f927(f926(x99211,x99211),a918)),f174(f926(x99211,x99211),a918)),x99213))))
% 202.84/202.77 [9982]~P1(f318(f318(f225(f927(x99821,a918)),f318(f318(f33(a920,f927(x99821,a918)),f318(f293(a920,f2(a920)),f516(x99823,x99822,x99821))),x99822)),x99823))+P1(f318(f318(f225(f927(x99821,a918)),f318(f318(f33(a920,f927(x99821,a918)),f233(f927(a920,a918))),x99822)),x99823))
% 202.84/202.77 [10032]~P1(f318(f318(f226(a1),f2(a1)),x100323))+P1(f318(f318(f226(a1),x100321),f318(f318(f73(a1),x100322),f318(f318(f74(a1),f318(f318(f73(a1),f318(f69(a1),f318(f318(f3(a1),x100322),x100321))),f71(a1))),x100323))))
% 202.84/202.77 [10046]~P39(x100461,f318(f318(f101(f927(f926(x100461,x100461),a918)),x100462),x100463))+P39(x100461,f318(f318(f101(f927(f926(x100461,x100461),a918)),f318(f318(f101(f927(f926(x100461,x100461),a918)),f318(f318(f280(x100461,x100461,x100461),x100462),x100462)),f318(f318(f280(x100461,x100461,x100461),x100463),x100462))),x100463))
% 202.84/202.77 [10121]P39(x101211,f318(f318(f101(f927(f926(x101211,x101211),a918)),x101212),x101213))+~P39(x101211,f318(f318(f101(f927(f926(x101211,x101211),a918)),f318(f318(f101(f927(f926(x101211,x101211),a918)),f318(f318(f280(x101211,x101211,x101211),x101212),x101212)),f318(f318(f280(x101211,x101211,x101211),x101213),x101212))),x101213))
% 202.84/202.77 [9691]~P146(x96911)+E(f318(f93(x96911),f318(a82,f318(f276(f926(a920,a920),f926(a920,a920),a99),f318(f318(f300(f926(a920,a920)),f318(f318(f243(a920,a920),x96912),x96913)),f179(f927(f926(a920,a920),a918)))))),f318(f318(f3(x96911),f318(f91(x96911),x96912)),f318(f91(x96911),x96913)))
% 202.84/202.77 [9773]P1(f318(x97733,x97732))+E(f318(f253(x97731),f318(f318(f20(x97731,a918,a918),f318(f318(f10(a918,f927(a918,a918),x97731),a316),f318(f318(f9(x97731,x97731,a918),a315),x97732))),x97733)),f179(f927(x97731,a918)))
% 202.84/202.77 [9775]~P1(f318(x97753,x97752))+E(f318(f253(x97751),f318(f318(f20(x97751,a918,a918),f318(f318(f10(a918,f927(a918,a918),x97751),a316),f318(f318(f9(x97751,x97751,a918),a315),x97752))),x97753)),f318(f318(f300(x97751),x97752),f179(f927(x97751,a918))))
% 202.84/202.77 [10012]E(x100121,x100122)+P1(f318(f318(f234(x100123,x100123,f318(f318(f10(f927(x100123,a918),f927(x100123,a918),x100123),f318(f10(a918,a918,x100123),a313)),a315)),x100121),x100122))
% 202.84/202.77 [10101]~E(x101011,x101012)+~P1(f318(f318(f234(x101013,x101013,f318(f318(f10(f927(x101013,a918),f927(x101013,a918),x101013),f318(f10(a918,a918,x101013),a313)),a315)),x101011),x101012))
% 202.84/202.77 [10113]~P1(f318(f55(x101131),x101133))+E(f318(f318(f58(x101131,f927(x101131,a918),f318(f318(f10(f927(x101131,a918),f927(f927(x101131,a918),f927(x101131,a918)),x101131),f318(f9(f927(x101131,a918),f927(x101131,a918),f927(x101131,a918)),f3(f927(x101131,a918)))),f318(f318(f9(x101131,f927(x101131,a918),f927(x101131,a918)),f300(x101131)),f179(f927(x101131,a918))))),x101132),x101133),f318(f318(f3(f927(x101131,a918)),x101132),x101133))
% 202.84/202.77 [10143]~P1(f318(f318(f226(a1),f2(a1)),x101433))+P1(f318(f318(f226(a1),f318(f318(f3(a1),x101431),f318(f318(f74(a1),f318(f318(f73(a1),f318(f69(a1),f318(f318(f3(a1),x101431),x101432))),f71(a1))),x101433))),x101432))
% 202.84/202.77 [10401]~P1(f318(f318(f320(x104011),x104013),f307(x104011,x104012)))+P1(f318(f306(x104011,f318(f318(f9(x104011,f927(f926(x104011,x104011),a918),f927(x104011,a918)),f318(f318(f10(f927(x104011,f927(f927(f926(x104011,x104011),a918),a918)),f927(f927(f926(x104011,x104011),a918),f927(x104011,a918)),x104011),f9(x104011,f927(f926(x104011,x104011),a918),a918)),f318(f318(f10(f927(x104011,f926(x104011,x104011)),f927(x104011,f927(f927(f926(x104011,x104011),a918),a918)),x104011),f318(f10(f926(x104011,x104011),f927(f927(f926(x104011,x104011),a918),a918),x104011),f320(f926(x104011,x104011)))),f243(x104011,x104011)))),x104012)),x104013))
% 202.84/202.77 [10414]P1(f318(f318(f320(x104141),x104142),f307(x104141,x104143)))+~P1(f318(f306(x104141,f318(f318(f9(x104141,f927(f926(x104141,x104141),a918),f927(x104141,a918)),f318(f318(f10(f927(x104141,f927(f927(f926(x104141,x104141),a918),a918)),f927(f927(f926(x104141,x104141),a918),f927(x104141,a918)),x104141),f9(x104141,f927(f926(x104141,x104141),a918),a918)),f318(f318(f10(f927(x104141,f926(x104141,x104141)),f927(x104141,f927(f927(f926(x104141,x104141),a918),a918)),x104141),f318(f10(f926(x104141,x104141),f927(f927(f926(x104141,x104141),a918),a918),x104141),f320(f926(x104141,x104141)))),f243(x104141,x104141)))),x104143)),x104142))
% 202.84/202.77 [9980]~P1(f318(f55(x99801),f318(f253(x99801),x99803)))+P1(f318(f55(x99801),f318(f253(x99801),f318(f318(f20(x99801,a918,a918),f318(f318(f10(a918,f927(a918,a918),x99801),a316),x99802)),x99803))))
% 202.84/202.77 [9981]~P1(f318(f55(x99811),f318(f253(x99811),x99812)))+P1(f318(f55(x99811),f318(f253(x99811),f318(f318(f20(x99811,a918,a918),f318(f318(f10(a918,f927(a918,a918),x99811),a316),x99812)),x99813))))
% 202.84/202.77 [10080]P1(f318(f55(x100801),f318(f253(x100801),x100802)))+~P1(f318(f55(x100801),f318(f253(x100801),f318(f318(f20(x100801,a918,a918),f318(f318(f10(a918,f927(a918,a918),x100801),a317),x100803)),x100802))))
% 202.84/202.77 [10081]P1(f318(f55(x100811),f318(f253(x100811),x100812)))+~P1(f318(f55(x100811),f318(f253(x100811),f318(f318(f20(x100811,a918,a918),f318(f318(f10(a918,f927(a918,a918),x100811),a317),x100812)),x100813))))
% 202.84/202.77 [10379]~P1(f318(f55(x103791),x103792))+P1(f318(f55(f921(x103791)),f318(f253(f921(x103791)),f318(f318(f20(f921(x103791),a918,a918),f318(f318(f10(a918,f927(a918,a918),f921(x103791)),a316),f318(f318(f9(f921(x103791),f927(x103791,a918),a918),f318(f318(f10(f927(x103791,a918),f927(f927(x103791,a918),a918),f921(x103791)),f225(f927(x103791,a918))),f163(x103791))),x103792))),f318(f318(f9(f921(x103791),a920,a918),f318(f318(f10(a920,f927(a920,a918),f921(x103791)),a315),f180(f921(x103791)))),x103793)))))
% 202.84/202.77 [10380]~P1(f318(f55(x103801),x103802))+P1(f318(f55(f921(x103801)),f318(f253(f921(x103801)),f318(f318(f20(f921(x103801),a918,a918),f318(f318(f10(a918,f927(a918,a918),f921(x103801)),a316),f318(f318(f9(f921(x103801),f927(x103801,a918),a918),f318(f318(f10(f927(x103801,a918),f927(f927(x103801,a918),a918),f921(x103801)),f225(f927(x103801,a918))),f163(x103801))),x103802))),f318(f318(f9(f921(x103801),a920,a918),f318(f318(f10(a920,f927(a920,a918),f921(x103801)),f225(a920)),f180(f921(x103801)))),x103803)))))
% 202.84/202.77 [10094]~P118(x100941)+E(f318(f318(f235(x100941),x100942),f318(f318(f74(a920),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))),x100943)),f318(f318(f74(x100941),f318(f318(f235(x100941),x100942),x100943)),f318(f318(f235(x100941),x100942),x100943)))
% 202.84/202.77 [10124]~P90(x101241)+E(f318(f318(f235(x101241),f318(f318(f235(x101241),x101242),x101243)),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))),f318(f318(f235(x101241),x101242),f318(f318(f74(a920),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))),x101243)))
% 202.84/202.77 [10180]~P146(x101801)+E(f318(f318(f235(x101801),f318(f72(x101801),x101802)),f318(f318(f74(a920),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))),x101803)),f318(f318(f235(x101801),x101802),f318(f318(f74(a920),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))),x101803)))
% 202.84/202.77 [10324]~P116(x103241)+P1(f318(f318(f225(x103241),f2(x103241)),f318(f318(f73(x103241),f318(f318(f235(x103241),x103242),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88))))),f318(f318(f235(x103241),x103243),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))))))
% 202.84/202.77 [10190]~P118(x101901)+E(f318(f318(f235(x101901),x101902),f318(a103,f318(f318(f74(a920),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))),x101903))),f318(f318(f74(x101901),x101902),f318(f318(f74(x101901),f318(f318(f235(x101901),x101902),x101903)),f318(f318(f235(x101901),x101902),x101903))))
% 202.84/202.77 [10240]~P90(x102401)+E(f318(f318(f74(x102401),x102402),f318(f318(f235(x102401),f318(f318(f235(x102401),x102402),x102403)),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88))))),f318(f318(f235(x102401),x102402),f318(a103,f318(f318(f74(a920),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))),x102403))))
% 202.84/202.77 [10280]~P116(x102801)+P1(f318(f318(f225(x102801),f2(x102801)),f318(f318(f235(x102801),x102802),f318(f318(f74(a920),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))),x102803))))
% 202.84/202.77 [10355]~P100(x103551)+E(f318(f318(f3(x103551),f318(f318(f73(x103551),f318(f318(f235(x103551),x103552),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88))))),f318(f318(f235(x103551),x103553),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))))),f318(f318(f74(x103551),f318(f318(f74(x103551),f318(f94(x103551),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))),x103552)),x103553)),f318(f318(f235(x103551),f318(f318(f3(x103551),x103552),x103553)),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))))
% 202.84/202.77 [10356]~P100(x103561)+E(f318(f318(f73(x103561),f318(f318(f73(x103561),f318(f318(f235(x103561),x103562),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88))))),f318(f318(f235(x103561),x103563),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))))),f318(f318(f74(x103561),f318(f318(f74(x103561),f318(f94(x103561),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))),x103562)),x103563)),f318(f318(f235(x103561),f318(f318(f73(x103561),x103562),x103563)),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))))
% 202.84/202.77 [7967]P25(x79671,x79672,x79673,x79674)+~E(f811(x79674,x79673,x79672,x79671),f821(x79674,x79673,x79672,x79671))
% 202.84/202.77 [8261]P36(x82611,x82612,x82613,x82614,f104(x82612))+~E(x82614,f104(x82611))
% 202.84/202.77 [8262]P36(x82621,x82622,x82623,f104(x82621),x82624)+~E(x82624,f104(x82622))
% 202.84/202.77 [8809]~P36(x88092,x88093,x88094,x88091,f104(x88093))+E(x88091,f104(x88092))
% 202.84/202.77 [8810]~P36(x88103,x88102,x88104,f104(x88103),x88101)+E(x88101,f104(x88102))
% 202.84/202.77 [5213]~P18(x52133,x52131,x52134)+E(f318(f318(x52131,x52132),x52132),x52132)
% 202.84/202.77 [5465]P1(f318(x54652,x54654))+E(f318(f127(x54651,x54652),f160(x54651,x54653,x54654)),f104(x54651))
% 202.84/202.77 [5502]~E(x55024,f179(f927(x55021,a918)))+E(f318(f301(x55021,x55022,x55023),x55024),f179(f927(x55022,a918)))
% 202.84/202.77 [5745]~P1(f318(x57452,x57454))+E(f318(f127(x57451,x57452),f160(x57451,x57453,x57454)),f160(x57451,x57453,x57454))
% 202.84/202.77 [5776]~E(f318(f301(x57762,x57763,x57764),x57761),f179(f927(x57763,a918)))+E(x57761,f179(f927(x57762,a918)))
% 202.84/202.77 [5964]~P7(x59641,x59643)+E(f262(x59641,x59642,f261(x59641,x59643),x59644),x59644)
% 202.84/202.77 [6073]~P4(x60732)+E(f318(f318(f139(x60731,x60732,x60733),x60734),f104(x60731)),f318(f318(f142(x60731),x60734),f104(x60731)))
% 202.84/202.77 [6439]~E(x64391,f179(f927(x64392,a918)))+~P1(f318(f56(x64392,x64393,x64391),x64394))
% 202.84/202.77 [6461]~P62(x64611,x64613,x64614,x64612)+P1(f318(f55(x64611),x64612))
% 202.84/202.77 [6463]~P62(x64631,x64633,x64632,x64634)+P1(f318(f55(x64631),x64632))
% 202.84/202.77 [6471]~P62(x64712,x64713,x64714,x64711)+~E(x64711,f179(f927(x64712,a918)))
% 202.84/202.77 [6504]~P113(x65041)+E(f318(f318(f92(f927(x65041,a918)),f318(f293(x65041,x65042),x65043)),f294(x65041,x65043,x65044)),f179(f927(x65041,a918)))
% 202.84/202.77 [6531]~P1(f318(f318(x65313,x65314),x65312))+P1(f318(f318(f320(x65311),x65312),f285(x65311,x65313,x65314)))
% 202.84/202.77 [6532]~P1(f318(f318(x65323,x65324),x65322))+P1(f318(f318(f320(x65321),x65322),f286(x65321,x65323,x65324)))
% 202.84/202.77 [6533]~P1(f318(f318(x65333,x65332),x65334))+P1(f318(f318(f320(x65331),x65332),f287(x65331,x65333,x65334)))
% 202.84/202.77 [6534]~P1(f318(f318(x65343,x65342),x65344))+P1(f318(f318(f320(x65341),x65342),f289(x65341,x65343,x65344)))
% 202.84/202.77 [6678]~P113(x66781)+E(f318(f318(f92(f927(x66781,a918)),f297(x66781,x66782,x66783)),f294(x66781,x66783,x66784)),f179(f927(x66781,a918)))
% 202.84/202.77 [6679]~P113(x66791)+E(f318(f318(f92(f927(x66791,a918)),f296(x66791,x66792,x66793)),f297(x66791,x66793,x66794)),f179(f927(x66791,a918)))
% 202.84/202.77 [6680]~P113(x66801)+E(f318(f318(f92(f927(x66801,a918)),f296(x66801,x66802,x66803)),f296(x66801,x66803,x66804)),f179(f927(x66801,a918)))
% 202.84/202.77 [6681]~P113(x66811)+E(f318(f318(f92(f927(x66811,a918)),f294(x66811,x66812,x66813)),f297(x66811,x66813,x66814)),f179(f927(x66811,a918)))
% 202.84/202.77 [6682]~P113(x66821)+E(f318(f318(f92(f927(x66821,a918)),f294(x66821,x66822,x66823)),f296(x66821,x66823,x66824)),f179(f927(x66821,a918)))
% 202.84/202.77 [6720]P1(f318(f318(x67201,x67202),f575(x67202,x67201)))+~P1(f318(f240(x67203,x67204,x67201),x67202))
% 202.84/202.77 [6804]~P4(x68042)+E(f318(f163(x68041),f141(x68041,x68042,x68043,x68044)),f318(f163(x68041),x68044))
% 202.84/202.77 [6855]~P115(x68551)+E(f181(x68551,x68552,f318(a103,x68553),x68554),f181(x68551,x68552,x68553,f318(x68552,x68554)))
% 202.84/202.77 [6919]~P1(f318(f318(f320(x69194),x69193),f285(x69194,x69191,x69192)))+P1(f318(f318(x69191,x69192),x69193))
% 202.84/202.77 [6920]~P1(f318(f318(f320(x69204),x69203),f286(x69204,x69201,x69202)))+P1(f318(f318(x69201,x69202),x69203))
% 202.84/202.77 [6921]~P1(f318(f318(f320(x69214),x69212),f287(x69214,x69211,x69213)))+P1(f318(f318(x69211,x69212),x69213))
% 202.84/202.77 [6922]~P1(f318(f318(f320(x69224),x69222),f289(x69224,x69221,x69223)))+P1(f318(f318(x69221,x69222),x69223))
% 202.84/202.77 [6998]E(f318(f29(f928(x69981,x69982)),f304(x69981,x69982,x69983,x69984)),f2(a920))+P1(f318(f55(x69982),x69984))
% 202.84/202.77 [6999]E(f318(f29(f928(x69991,x69992)),f304(x69991,x69992,x69993,x69994)),f2(a920))+P1(f318(f55(x69991),x69993))
% 202.84/202.77 [7206]~P15(x72064,x72061,x72062)+E(f318(f66(x72061,x72061,x72061,f318(x72062,x72063)),f318(x72062,x72063)),f318(x72062,x72063))
% 202.84/202.77 [7453]E(f268(x74531,x74532,x74533,x74534),f318(f243(f927(a90,f927(a918,f924(f922(x74531)))),f926(a90,a90)),f35(x74531)))+~P1(f318(f318(f225(a90),x74533),f2(a90)))
% 202.84/202.77 [8091]~E(x80912,x80913)+P1(f318(f318(f320(f926(x80911,x80911)),f318(f318(f243(x80911,x80911),x80912),x80913)),f298(x80911,x80914)))
% 202.84/202.77 [8120]~P25(x81201,x81202,x81203,f233(f927(x81201,a918)))+E(f318(f70(x81201,x81202,f233(f927(x81201,a918)),x81203),f318(x81203,x81204)),x81204)
% 202.84/202.77 [8121]~P25(x81211,x81212,x81213,f233(f927(x81211,a918)))+E(f318(f84(x81211,x81212,f233(f927(x81211,a918)),x81213),f318(x81213,x81214)),x81214)
% 202.84/202.77 [8210]~P1(f318(f318(f320(f921(x82101)),f318(f318(f142(x82101),x82104),x82102)),f152(x82101,x82103)))+P1(f318(f318(f320(f921(x82101)),x82102),f152(x82101,x82103)))
% 202.84/202.77 [8211]~P1(f318(f318(f320(f921(x82111)),f318(f318(f125(x82111),x82114),x82112)),f152(x82111,x82113)))+P1(f318(f318(f320(f921(x82111)),x82112),f152(x82111,x82113)))
% 202.84/202.77 [8212]~P1(f318(f318(f320(f921(x82121)),f318(f318(f125(x82121),x82122),x82124)),f152(x82121,x82123)))+P1(f318(f318(f320(f921(x82121)),x82122),f152(x82121,x82123)))
% 202.84/202.77 [8223]~P4(x82231)+P13(x82231,f318(f318(f145(x82232,x82231),x82233),f141(x82232,x82231,x82233,x82234)))
% 202.84/202.77 [8329]P25(x83294,x83293,x83291,x83292)+E(f318(x83291,f811(x83292,x83291,x83293,x83294)),f318(x83291,f821(x83292,x83291,x83293,x83294)))
% 202.84/202.77 [8437]~P25(x84372,x84371,x84374,x84373)+P25(x84371,x84372,f70(x84372,x84371,x84373,x84374),f318(f301(x84372,x84371,x84374),x84373))
% 202.84/202.77 [8577]P39(f926(x85772,x85774),f271(x85772,x85774,x85771,x85773))+P1(f318(x85771,f581(x85772,x85773,x85774,x85771)))
% 202.84/202.77 [8697]E(x86971,x86972)+~P1(f318(f318(f320(f926(x86973,x86973)),f318(f318(f243(x86973,x86973),x86971),x86972)),f254(x86973,x86974)))
% 202.84/202.77 [8760]~P1(f318(f55(f928(x87603,x87601)),f304(x87603,x87601,x87604,x87602)))+P1(f318(f55(x87601),x87602))
% 202.84/202.77 [8761]~P1(f318(f55(f928(x87611,x87613)),f304(x87611,x87613,x87612,x87614)))+P1(f318(f55(x87611),x87612))
% 202.84/202.77 [8770]~P25(x87701,x87702,x87703,x87704)+P26(x87701,x87702,x87703,x87704,f318(f301(x87701,x87702,x87703),x87704))
% 202.84/202.77 [8772]P11(x87721,x87722,x87723,x87724)+~E(f318(x87724,f836(x87722,x87724,x87723,x87721)),f318(x87724,f837(x87722,x87724,x87723,x87721)))
% 202.84/202.77 [8862]~P26(x88622,x88623,x88624,x88621,f179(f927(x88623,a918)))+E(x88621,f179(f927(x88622,a918)))
% 202.84/202.77 [8863]~P26(x88633,x88632,x88634,f179(f927(x88633,a918)),x88631)+E(x88631,f179(f927(x88632,a918)))
% 202.84/202.77 [8955]P39(f926(x89551,x89552),f271(x89551,x89552,x89553,x89554))+~P39(x89552,f318(x89554,f581(x89551,x89554,x89552,x89553)))
% 202.84/202.77 [9527]E(f318(f318(f150(x95271,x95272),f673(x95273,x95274,x95272,x95271)),f674(x95273,x95274,x95272,x95271)),x95274)+~P1(f318(f318(f320(f926(f921(x95271),f921(x95271))),f318(f318(f243(f921(x95271),f921(x95271)),x95272),x95274)),f148(x95271,x95273)))
% 202.84/202.77 [9532]~P1(f318(f318(f320(f926(f921(x95321),f921(x95321))),f318(f318(f243(f921(x95321),f921(x95321)),x95322),x95323)),f136(x95321,x95324)))+P1(f318(f318(f320(f926(f921(x95321),f921(x95321))),f318(f318(f243(f921(x95321),f921(x95321)),x95322),x95323)),f138(x95321,x95324)))
% 202.84/202.77 [9644]P1(f318(f55(x96441),x96442))+~P1(f318(f318(f320(f926(f927(x96441,a918),f927(x96441,a918))),f318(f318(f243(f927(x96441,a918),f927(x96441,a918)),x96443),x96442)),f310(x96441,x96444)))
% 202.84/202.77 [9645]P1(f318(f55(x96451),x96452))+~P1(f318(f318(f320(f926(f927(x96451,a918),f927(x96451,a918))),f318(f318(f243(f927(x96451,a918),f927(x96451,a918)),x96452),x96453)),f310(x96451,x96454)))
% 202.84/202.77 [9648]~E(x96481,f179(f927(x96482,a918)))+~P1(f318(f318(f320(f926(f927(x96482,a918),f927(x96482,a918))),f318(f318(f243(f927(x96482,a918),f927(x96482,a918)),x96483),x96481)),f310(x96482,x96484)))
% 202.84/202.77 [10291]P11(x102911,x102912,x102913,x102914)+~P1(f318(f318(f248(x102911,x102911,a918),f318(f318(f9(x102911,f927(x102911,x102912),f927(x102911,a918)),f318(f318(f10(f927(x102912,a918),f927(f927(x102911,x102912),f927(x102911,a918)),x102911),f10(x102912,a918,x102911)),f318(f318(f10(x102912,f927(x102912,a918),x102911),a315),x102914))),x102914)),f533(x102914,x102913,x102912,x102911)))
% 202.84/202.77 [5113]~E(x51132,f104(x51131))+E(f318(f318(f150(x51131,x51132),x51133),x51134),f104(x51131))
% 202.84/202.77 [5114]~E(x51144,f104(x51141))+E(f318(f318(f145(x51141,x51142),x51143),x51144),f104(x51142))
% 202.84/202.77 [5353]E(x53531,f104(x53532))+~E(f318(f318(f145(x53532,x53533),x53534),x53531),f104(x53533))
% 202.84/202.77 [5354]E(x53541,f104(x53542))+~E(f318(f318(f150(x53542,x53541),x53543),x53544),f104(x53542))
% 202.84/202.77 [5390]E(x53901,x53902)+~E(f318(f318(f125(x53903),x53904),x53901),f318(f318(f125(x53903),x53904),x53902))
% 202.84/202.77 [5391]E(x53911,x53912)+~E(f318(f318(f125(x53913),x53911),x53914),f318(f318(f125(x53913),x53912),x53914))
% 202.84/202.77 [5539]P1(f318(x55393,x55392))+E(f161(x55391,x55392,f318(f127(x55391,x55393),x55394)),f318(f127(x55391,x55393),x55394))
% 202.84/202.77 [5541]~P1(f318(x55412,x55413))+P35(x55411,x55412,f318(f318(f142(x55411),x55413),x55414))
% 202.84/202.77 [5550]E(x55501,x55502)+~E(f130(a920,f318(f293(a920,x55501),x55503)),f318(f318(f142(a920),x55502),x55504))
% 202.84/202.77 [5598]~P27(x55982,x55983)+P27(x55981,f318(f318(f67(x55982,x55981),x55983),x55984))
% 202.84/202.77 [5599]~P39(x55992,x55993)+P39(x55991,f318(f318(f279(x55992,x55991),x55993),x55994))
% 202.84/202.77 [5600]~P40(x56002,x56003)+P40(x56001,f318(f318(f279(x56002,x56001),x56003),x56004))
% 202.84/202.77 [5601]~P55(x56012,x56013)+P55(x56011,f318(f318(f279(x56012,x56011),x56013),x56014))
% 202.84/202.77 [5729]~P35(x57291,x57292,x57294)+P35(x57291,x57292,f318(f318(f142(x57291),x57293),x57294))
% 202.84/202.77 [5730]~P35(x57301,x57302,x57304)+P35(x57301,x57302,f318(f318(f125(x57301),x57303),x57304))
% 202.84/202.77 [5731]~P35(x57311,x57312,x57313)+P35(x57311,x57312,f318(f318(f125(x57311),x57313),x57314))
% 202.84/202.77 [5820]~E(x58201,f104(x58202))+~E(f318(f318(f125(x58202),x58203),f318(f318(f142(x58202),x58204),f104(x58202))),x58201)
% 202.84/202.77 [5845]~P33(x58453,x58451,f318(f318(f142(x58453),x58452),x58454))+P1(f318(x58451,x58452))
% 202.84/202.77 [5855]E(f105(x58551,x58552),x58553)+~E(f318(f318(f125(x58551),x58553),f318(f318(f142(x58551),x58554),f104(x58551))),x58552)
% 202.84/202.77 [5856]E(f135(x58561,x58562),x58563)+~E(f318(f318(f125(x58561),x58564),f318(f318(f142(x58561),x58563),f104(x58561))),x58562)
% 202.84/202.77 [5966]~E(f130(a920,f318(f293(a920,x59661),x59662)),f318(f318(f142(a920),x59663),x59664))+P1(f318(f318(f226(a920),x59661),x59662))
% 202.84/202.77 [5975]P33(x59751,x59752,x59753)+~P33(x59751,x59752,f318(f318(f142(x59751),x59754),x59753))
% 202.84/202.77 [5976]P33(x59761,x59762,x59763)+~P33(x59761,x59762,f318(f318(f125(x59761),x59764),x59763))
% 202.84/202.77 [5977]P33(x59771,x59772,x59773)+~P33(x59771,x59772,f318(f318(f125(x59771),x59773),x59774))
% 202.84/202.77 [6181]E(x61811,f318(f318(f125(x61812),f318(f159(x61812),x61813)),f318(f318(f142(x61812),x61814),f104(x61812))))+~E(f318(f159(x61812),x61811),f318(f318(f142(x61812),x61814),x61813))
% 202.84/202.77 [6359]~P113(x63591)+E(f318(f318(f92(f927(x63591,a918)),f318(f293(x63591,x63592),x63593)),f318(f293(x63591,x63593),x63594)),f179(f927(x63591,a918)))
% 202.84/202.77 [6371]E(f318(f318(f155(x63711),f160(x63711,x63712,x63713)),x63714),x63713)+~P1(f318(f318(f226(a920),x63714),x63712))
% 202.84/202.77 [6398]~P83(x63981)+E(f318(f156(x63981),f318(f318(f145(a1,x63981),x63982),f169(x63983,x63984))),f318(f318(f8(a1,x63981),x63982),f318(f163(a1),f169(x63983,x63984))))
% 202.84/202.77 [6399]~P83(x63991)+E(f318(f318(f8(a1,x63991),x63992),f318(f163(a1),f169(x63993,x63994))),f318(f156(x63991),f318(f318(f145(a1,x63991),x63992),f169(x63993,x63994))))
% 202.84/202.77 [6544]~E(x65442,f318(f318(f125(x65441),f318(f159(x65441),x65444)),f318(f318(f142(x65441),x65443),f104(x65441))))+E(f318(f159(x65441),x65442),f318(f318(f142(x65441),x65443),x65444))
% 202.84/202.77 [6562]~P20(x65622,x65623,x65624,x65621)+E(f318(x65621,f179(f927(x65622,a918))),f25(x65623))
% 202.84/202.77 [6588]~P113(x65881)+E(f318(f318(f92(f927(x65881,a918)),f297(x65881,x65882,x65883)),f318(f293(x65881,x65883),x65884)),f179(f927(x65881,a918)))
% 202.84/202.77 [6805]E(x68051,f179(f927(x68052,a918)))+~E(f304(x68053,x68052,x68054,x68051),f179(f927(f928(x68053,x68052),a918)))
% 202.84/202.77 [6806]E(x68061,f179(f927(x68062,a918)))+~E(f304(x68062,x68063,x68061,x68064),f179(f927(f928(x68062,x68063),a918)))
% 202.84/202.77 [6877]~P4(x68772)+E(f318(f180(f921(x68771)),f141(x68771,x68772,x68773,x68774)),f318(f180(f921(x68771)),x68774))
% 202.84/202.77 [6888]~P1(f318(f241(x68883,x68884,x68881),x68882))+P1(f318(f318(x68881,f554(x68882,x68881)),x68882))
% 202.84/202.77 [6931]~P1(f318(f55(x69312),x69314))+P1(f318(f55(x69311),f318(f301(x69312,x69311,x69313),x69314)))
% 202.84/202.77 [7167]~P25(x71672,x71671,x71673,x71674)+E(f318(f29(x71671),f318(f301(x71672,x71671,x71673),x71674)),f318(f29(x71672),x71674))
% 202.84/202.77 [7185]E(f318(f301(x71851,x71852,x71853),f318(f302(x71851,x71852,x71853),x71854)),x71854)+~E(f318(f301(x71851,x71852,x71853),f233(f927(x71851,a918))),f233(f927(x71852,a918)))
% 202.84/202.77 [7603]~P25(x76031,x76032,x76033,f233(f927(x76031,a918)))+E(f318(f302(x76031,x76032,x76033),f318(f301(x76031,x76032,x76033),x76034)),x76034)
% 202.84/202.77 [7885]E(x78851,x78852)+~P1(f318(f318(f320(x78853),x78851),f318(f163(x78853),f160(x78853,x78854,x78852))))
% 202.84/202.77 [7894]~E(x78941,f2(a920))+~P1(f318(f318(f320(x78942),x78943),f318(f163(x78942),f160(x78942,x78941,x78944))))
% 202.84/202.77 [7927]P1(f318(x79271,x79272))+~P1(f318(f318(f320(x79273),x79272),f318(f163(x79273),f168(x79273,x79271,x79274))))
% 202.84/202.77 [8037]~P1(f318(f318(f320(f921(x80371)),f318(f318(f142(x80371),x80372),x80374)),f152(x80371,x80373)))+P1(f318(f318(f320(x80371),x80372),x80373))
% 202.84/202.77 [8166]~P1(f318(f318(f320(x81661),x81662),f318(f163(x81661),f167(x81661,x81663,x81664))))+P1(f318(f318(f320(x81661),x81662),f318(f163(x81661),x81663)))
% 202.84/202.77 [8167]~P1(f318(f318(f320(x81671),x81672),f318(f163(x81671),f161(x81671,x81674,x81673))))+P1(f318(f318(f320(x81671),x81672),f318(f163(x81671),x81673)))
% 202.84/202.77 [8168]~P1(f318(f318(f320(x81681),x81682),f318(f163(x81681),f168(x81681,x81684,x81683))))+P1(f318(f318(f320(x81681),x81682),f318(f163(x81681),x81683)))
% 202.84/202.77 [8178]E(f318(f180(f921(x81781)),x81782),x81783)+~P1(f318(f318(f320(f921(x81781)),x81782),f318(f163(f921(x81781)),f49(x81781,x81783,x81784))))
% 202.84/202.77 [8275]P1(f318(x82753,x82752))+E(f318(f127(x82751,f318(f318(f10(a918,a918,x82751),a313),f318(a315,x82752))),f318(f127(x82751,x82753),x82754)),f318(f127(x82751,x82753),x82754))
% 202.84/202.77 [8389]E(f318(f318(f155(x83891),f168(x83891,x83892,x83893)),x83894),f318(f318(f155(x83891),x83893),x83894))+~P1(f318(f318(f226(a920),x83894),f318(f180(f921(x83891)),f168(x83891,x83892,x83893))))
% 202.84/202.77 [8475]~P83(x84751)+E(f318(f318(f8(a920,x84751),f318(f318(f10(a920,x84751,a920),x84752),a103)),f318(f293(a920,x84753),x84754)),f318(f318(f8(a920,x84751),x84752),f318(f293(a920,f318(a103,x84753)),f318(a103,x84754))))
% 202.84/202.77 [8484]~P83(x84841)+E(f318(f318(f8(a920,x84841),f318(f318(f10(a920,x84841,a920),x84842),a103)),f294(a920,x84843,x84844)),f318(f318(f8(a920,x84841),x84842),f294(a920,f318(a103,x84843),f318(a103,x84844))))
% 202.84/202.77 [8613]~P25(x86131,x86133,x86134,f233(f927(x86131,a918)))+P25(x86131,f927(x86132,x86133),f318(f318(f10(x86133,f927(x86132,x86133),x86131),f18(x86133,x86132)),x86134),f233(f927(x86131,a918)))
% 202.84/202.77 [8702]~P25(x87022,x87021,x87024,x87023)+E(f318(f301(x87021,x87022,f70(x87022,x87021,x87023,x87024)),f318(f301(x87022,x87021,x87024),x87023)),x87023)
% 202.84/202.77 [8762]~P1(f318(f318(f320(f926(x87621,x87621)),f318(f318(f243(x87621,x87621),x87622),x87624)),f254(x87621,x87623)))+P1(f318(f318(f320(x87621),x87622),x87623))
% 202.84/202.77 [8886]~P25(x88862,x88861,x88863,f233(f927(x88862,a918)))+E(f318(f301(x88861,x88862,f84(x88862,x88861,f233(f927(x88862,a918)),x88863)),f318(f301(x88862,x88861,x88863),x88864)),x88864)
% 202.84/202.77 [8961]~P26(x89611,x89612,x89613,x89614,f233(f927(x89612,a918)))+E(f318(f301(x89611,x89612,x89613),f233(f927(x89611,a918))),f233(f927(x89612,a918)))
% 202.84/202.77 [8995]~E(f318(f318(f8(x89951,a920),x89954),x89953),f318(a103,x89952))+P1(f318(f318(f320(x89951),f418(x89952,x89953,x89954,x89951)),x89953))
% 202.84/202.77 [9016]~E(f318(f318(f8(x90164,a920),x90161),x90163),f318(a103,x90162))+P1(f318(f318(f226(a920),f2(a920)),f318(x90161,f418(x90162,x90163,x90161,x90164))))
% 202.84/202.77 [9027]~P1(f318(f55(x90272),x90274))+P1(f318(f318(f225(a920),f318(f29(x90271),f318(f301(x90272,x90271,x90273),x90274))),f318(f29(x90272),x90274)))
% 202.84/202.77 [9028]E(f318(f318(f243(x90281,x90282),f645(x90283,x90284,x90282,x90281)),f646(x90283,x90284,x90282,x90281)),x90284)+~P1(f318(f318(f320(f926(x90281,x90282)),x90284),f318(f277(x90282,x90281),x90283)))
% 202.84/202.77 [9036]P25(x90361,x90362,x90363,x90364)+P1(f318(f318(f320(x90361),f811(x90364,x90363,x90362,x90361)),x90364))
% 202.84/202.77 [9037]P25(x90371,x90372,x90373,x90374)+P1(f318(f318(f320(x90371),f821(x90374,x90373,x90372,x90371)),x90374))
% 202.84/202.77 [9108]P11(x91081,x91082,x91083,x91084)+P1(f318(f318(f320(f926(x91081,x91081)),f533(x91084,x91083,x91082,x91081)),x91083))
% 202.84/202.77 [9162]P1(f318(x91621,x91622))+~P1(f318(x91621,f318(f318(f243(x91623,x91624),f495(x91624,x91623,x91621)),f496(x91624,x91623,x91621))))
% 202.84/202.77 [9179]E(f318(f180(f921(x91791)),x91792),f318(f180(f921(x91791)),x91793))+~P1(f318(f318(f320(f926(f921(x91791),f921(x91791))),f318(f318(f243(f921(x91791),f921(x91791)),x91792),x91793)),f136(x91791,x91794)))
% 202.84/202.77 [9180]E(f318(f180(f921(x91801)),x91802),f318(f180(f921(x91801)),x91803))+~P1(f318(f318(f320(f926(f921(x91801),f921(x91801))),f318(f318(f243(f921(x91801),f921(x91801)),x91802),x91803)),f148(x91801,x91804)))
% 202.84/202.77 [9183]E(f318(f180(f921(x91831)),x91832),f318(f180(f921(x91831)),x91833))+~P1(f318(f318(f320(f926(f921(x91831),f921(x91831))),f318(f318(f243(f921(x91831),f921(x91831)),x91832),x91833)),f149(x91831,x91834)))
% 202.84/202.77 [9254]P1(f318(f318(f225(a920),f146(x92541,x92542,x92543)),f146(x92541,x92544,x92543)))+P1(f318(f318(f320(x92541),f672(x92544,x92542,x92543,x92541)),f318(f163(x92541),x92543)))
% 202.84/202.77 [9257]E(f318(f180(f921(x92571)),x92572),f318(f180(f921(x92571)),x92573))+~P1(f318(f318(f320(f926(f921(x92571),f921(x92571))),f318(f318(f243(f921(x92571),f921(x92571)),x92572),x92573)),f298(f921(x92571),f148(x92571,x92574))))
% 202.84/202.77 [9497]~P25(x94971,x94972,x94973,x94974)+~P1(f318(f318(f226(a920),f318(f29(x94972),f318(f301(x94971,x94972,x94973),x94974))),f318(f29(x94971),x94974)))
% 202.84/202.77 [9545]~P1(f318(f318(f320(f926(f921(x95451),f921(x95451))),f318(f318(f243(f921(x95451),f921(x95451)),x95452),x95453)),f148(x95451,x95454)))+P1(f318(f318(f320(f926(f921(x95451),f921(x95451))),f318(f318(f243(f921(x95451),f921(x95451)),x95452),x95453)),f149(x95451,f298(x95451,x95454))))
% 202.84/202.77 [9549]~P1(f318(f318(f320(f926(f921(x95491),f921(x95491))),f318(f318(f243(f921(x95491),f921(x95491)),x95492),x95493)),f149(x95491,x95494)))+P1(f318(f318(f320(f926(f921(x95491),f921(x95491))),f318(f318(f243(f921(x95491),f921(x95491)),x95492),x95493)),f298(f921(x95491),f148(x95491,x95494))))
% 202.84/202.77 [9565]P1(f318(f318(f320(f926(x95651,x95651)),f318(f318(f243(x95651,x95651),x95652),x95653)),f298(x95651,x95654)))+~P1(f318(f318(f320(f926(x95651,x95651)),f318(f318(f243(x95651,x95651),x95652),x95653)),f318(f318(f280(x95651,x95651,x95651),x95654),f298(x95651,x95654))))
% 202.84/202.77 [9754]E(f318(f318(f125(x97541),f685(x97542,x97543,x97544,x97541)),f318(f318(f142(x97541),f686(x97542,x97543,x97544,x97541)),f688(x97542,x97543,x97544,x97541))),x97544)+~P1(f318(f318(f320(f926(f921(x97541),f921(x97541))),f318(f318(f243(f921(x97541),f921(x97541)),x97544),x97543)),f148(x97541,x97542)))
% 202.84/202.77 [9755]E(f318(f318(f125(x97551),f685(x97552,x97553,x97554,x97551)),f318(f318(f142(x97551),f687(x97552,x97553,x97554,x97551)),f688(x97552,x97553,x97554,x97551))),x97553)+~P1(f318(f318(f320(f926(f921(x97551),f921(x97551))),f318(f318(f243(f921(x97551),f921(x97551)),x97554),x97553)),f148(x97551,x97552)))
% 202.84/202.77 [9834]P1(f318(f318(f320(f926(x98341,x98341)),f318(f318(f243(x98341,x98341),x98342),f644(x98343,x98344,x98342,x98341))),f298(x98341,x98343)))+~P1(f318(f318(f320(f926(x98341,x98341)),f318(f318(f243(x98341,x98341),x98342),x98344)),f318(f318(f280(x98341,x98341,x98341),x98343),f298(x98341,x98343))))
% 202.84/202.77 [9903]P1(f318(f318(f225(a920),f146(x99031,x99032,x99033)),f146(x99031,x99034,x99033)))+~P1(f318(f318(f226(a920),f318(x99032,f672(x99034,x99032,x99033,x99031))),f318(x99034,f672(x99034,x99032,x99033,x99031))))
% 202.84/202.77 [9976]P1(f318(f318(f320(f926(x99761,x99761)),f318(f318(f243(x99761,x99761),f637(x99762,x99763,x99764,x99761)),x99763)),f298(x99761,x99762)))+~P1(f318(f318(f320(f926(x99761,x99761)),f318(f318(f243(x99761,x99761),x99764),x99763)),f318(f318(f280(x99761,x99761,x99761),x99762),f298(x99761,x99762))))
% 202.84/202.77 [5372]~E(x53722,x53723)+E(f161(x53721,x53722,f318(f318(f142(x53721),x53723),x53724)),x53724)
% 202.84/202.77 [5495]P1(f318(x54952,x54953))+E(f168(x54951,x54952,f318(f318(f142(x54951),x54953),x54954)),f104(x54951))
% 202.84/202.77 [5562]~P66(x55622)+E(f318(f318(f72(f927(x55621,x55622)),x55623),x55624),f318(f72(x55622),f318(x55623,x55624)))
% 202.84/202.77 [5575]~E(x55752,f2(a920))+E(f318(f318(f129(x55751),x55752),f318(f318(f142(x55751),x55753),x55754)),f318(f318(f142(x55751),x55753),x55754))
% 202.84/202.77 [5576]P1(f318(x55762,x55763))+E(f318(f127(x55761,x55762),f318(f318(f142(x55761),x55763),x55764)),f318(f127(x55761,x55762),x55764))
% 202.84/202.77 [5712]~E(x57122,x57124)+P1(f318(f318(f318(f300(x57121),x57122),x57123),x57124))
% 202.84/202.77 [5720]E(x57201,f104(x57202))+E(f135(x57203,f318(f318(f145(x57202,x57203),x57204),x57201)),f318(x57204,f135(x57202,x57201)))
% 202.84/202.77 [5734]~E(x57341,f57(x57342,x57344))+E(f318(x57341,f318(f318(f300(x57342),x57343),f179(f927(x57342,a918)))),x57343)
% 202.84/202.77 [5771]E(x57711,f104(x57712))+E(f318(f132(x57713),f318(f318(f145(x57712,x57713),x57714),x57711)),f318(x57714,f318(f132(x57712),x57711)))
% 202.84/202.77 [5875]~P1(f318(x58753,x58754))+P1(f318(f318(f318(f300(x58751),x58752),x58753),x58754))
% 202.84/202.77 [5995]~P19(x59952,x59954,x59951)+E(f318(x59951,f318(f318(f300(x59952),x59953),f179(f927(x59952,a918)))),x59953)
% 202.84/202.77 [6022]~E(x60222,x60223)+P1(f318(f318(f320(x60221),x60222),f318(f318(f300(x60221),x60223),x60224)))
% 202.84/202.77 [6028]~P103(x60281)+E(f318(f318(f92(x60281),x60282),f318(f318(f92(x60281),x60283),x60284)),f318(f318(f92(x60281),x60283),f318(f318(f92(x60281),x60282),x60284)))
% 202.84/202.77 [6029]~P104(x60291)+E(f318(f318(f92(x60291),x60292),f318(f318(f92(x60291),x60293),x60294)),f318(f318(f92(x60291),x60293),f318(f318(f92(x60291),x60292),x60294)))
% 202.84/202.77 [6031]~P109(x60311)+E(f318(f318(f101(x60311),x60312),f318(f318(f101(x60311),x60313),x60314)),f318(f318(f101(x60311),x60313),f318(f318(f101(x60311),x60312),x60314)))
% 202.84/202.77 [6032]~P104(x60321)+E(f318(f318(f101(x60321),x60322),f318(f318(f101(x60321),x60323),x60324)),f318(f318(f101(x60321),x60323),f318(f318(f101(x60321),x60322),x60324)))
% 202.84/202.77 [6033]~P118(x60331)+E(f318(f318(f74(x60331),x60332),f318(f318(f74(x60331),x60333),x60334)),f318(f318(f74(x60331),x60333),f318(f318(f74(x60331),x60332),x60334)))
% 202.84/202.77 [6034]~P118(x60341)+E(f318(f318(f73(x60341),x60342),f318(f318(f73(x60341),x60343),x60344)),f318(f318(f73(x60341),x60343),f318(f318(f73(x60341),x60342),x60344)))
% 202.84/202.77 [6036]~P4(x60361)+E(f318(f318(f223(x60361),x60362),f318(f318(f223(x60361),x60363),x60364)),f318(f318(f223(x60361),x60363),f318(f318(f223(x60361),x60362),x60364)))
% 202.84/202.77 [6038]~P4(x60381)+E(f318(f318(f224(x60381),x60382),f318(f318(f224(x60381),x60383),x60384)),f318(f318(f224(x60381),x60383),f318(f318(f224(x60381),x60382),x60384)))
% 202.84/202.77 [6045]E(x60451,x60452)+E(f161(x60453,x60451,f318(f318(f142(x60453),x60452),x60454)),f318(f318(f142(x60453),x60452),f161(x60453,x60451,x60454)))
% 202.84/202.77 [6060]~P1(f318(x60602,x60603))+E(f318(f127(x60601,x60602),f318(f318(f142(x60601),x60603),x60604)),f318(f318(f142(x60601),x60603),f318(f127(x60601,x60602),x60604)))
% 202.84/202.77 [6202]~P1(f318(x62022,x62023))+E(f168(x62021,x62022,f318(f318(f142(x62021),x62023),x62024)),f318(f318(f142(x62021),x62023),f168(x62021,x62022,x62024)))
% 202.84/202.77 [6251]P14(x62511,x62512,x62513)+~P14(x62511,x62512,f318(f318(f300(f919(x62511)),x62514),x62513))
% 202.84/202.77 [6267]E(x62671,f179(f927(x62672,a918)))+E(f318(f318(f33(x62672,f927(x62673,a918)),x62671),f318(f18(f927(x62673,a918),x62672),x62674)),x62674)
% 202.84/202.77 [6268]E(x62681,f179(f927(x62682,a918)))+E(f318(f318(f34(x62682,f927(x62683,a918)),x62681),f318(f18(f927(x62683,a918),x62682),x62684)),x62684)
% 202.84/202.77 [6277]~E(x62774,f179(f927(x62772,a918)))+E(f318(f318(f245(x62771,x62772),x62773),f318(f18(f927(x62772,a918),x62771),x62774)),f179(f927(f926(x62771,x62772),a918)))
% 202.84/202.77 [6278]~E(x62783,f179(f927(x62781,a918)))+E(f318(f318(f245(x62781,x62782),x62783),f318(f18(f927(x62782,a918),x62781),x62784)),f179(f927(f926(x62781,x62782),a918)))
% 202.84/202.77 [6331]E(x63311,f2(a920))+E(f318(f318(f129(x63312),x63311),f318(f318(f142(x63312),x63313),x63314)),f318(f318(f129(x63312),f318(f318(f3(a920),x63311),f71(a920))),x63314))
% 202.84/202.77 [6353]E(x63531,f179(f927(x63532,a918)))+E(f318(f301(x63532,x63533,f318(f18(x63533,x63532),x63534)),x63531),f318(f318(f300(x63533),x63534),f179(f927(x63533,a918))))
% 202.84/202.77 [6356]E(f318(f302(x63561,x63562,f318(f18(x63562,x63561),x63563)),x63564),f179(f927(x63561,a918)))+P1(f318(f318(f320(x63562),x63563),x63564))
% 202.84/202.77 [6422]~E(x64223,f179(f927(x64221,a918)))+E(f318(f318(f33(x64221,f927(x64222,a918)),x64223),f318(f18(f927(x64222,a918),x64221),x64224)),f179(f927(x64222,a918)))
% 202.84/202.77 [6423]~E(x64233,f179(f927(x64231,a918)))+E(f318(f318(f34(x64231,f927(x64232,a918)),x64233),f318(f18(f927(x64232,a918),x64231),x64234)),f233(f927(x64232,a918)))
% 202.84/202.77 [6425]~P70(x64251)+E(f39(x64251,f318(f318(f74(x64251),x64252),x64253),f318(f318(f74(x64251),x64252),x64254)),f318(f318(f74(x64251),x64252),f39(x64251,x64253,x64254)))
% 202.84/202.77 [6598]E(f318(f302(x65981,x65982,f318(f18(x65982,x65981),x65983)),x65984),f233(f927(x65981,a918)))+~P1(f318(f318(f320(x65982),x65983),x65984))
% 202.84/202.77 [6622]~P1(f318(f318(f320(x66221),x66222),x66224))+P1(f318(f318(f320(x66221),x66222),f318(f318(f300(x66221),x66223),x66224)))
% 202.84/202.77 [6627]P1(f318(x66271,x66272))+~P1(f318(f151(x66273,x66271),f318(f318(f142(x66273),x66272),x66274)))
% 202.84/202.77 [6636]~E(x66363,f318(f318(f3(a920),f318(f180(f921(x66361)),x66362)),f71(a920)))+E(f105(x66361,f318(f318(f150(x66361,x66362),x66363),x66364)),f105(x66361,x66362))
% 202.84/202.77 [6656]~P4(x66561)+E(f318(f318(f92(f927(x66561,a918)),f318(f292(x66561),x66562)),f294(x66561,x66563,x66564)),f294(x66561,x66563,f318(f318(f223(x66561),x66562),x66564)))
% 202.84/202.77 [6657]~P4(x66571)+E(f318(f318(f92(f927(x66571,a918)),f318(f274(x66571),x66572)),f294(x66571,x66573,x66574)),f294(x66571,f318(f318(f224(x66571),x66572),x66573),x66574))
% 202.84/202.77 [6673]E(f318(f318(f92(f927(x66731,a918)),x66732),f318(f318(f300(x66731),x66733),x66734)),f318(f318(f92(f927(x66731,a918)),x66732),x66734))+P1(f318(f318(f320(x66731),x66733),x66732))
% 202.84/202.77 [6685]E(f161(x66851,x66852,f318(f318(f125(x66851),x66853),x66854)),f318(f318(f125(x66851),x66853),f161(x66851,x66852,x66854)))+P1(f318(f318(f320(x66851),x66852),f318(f163(x66851),x66853)))
% 202.84/202.77 [6690]~P90(x66901)+E(f318(f318(f74(x66901),f318(f318(f235(x66901),x66902),x66903)),f318(f318(f235(x66901),x66902),x66904)),f318(f318(f235(x66901),x66902),f318(f318(f73(a920),x66903),x66904)))
% 202.84/202.77 [6691]~P118(x66911)+E(f318(f318(f74(x66911),f318(f318(f235(x66911),x66912),x66913)),f318(f318(f235(x66911),x66912),x66914)),f318(f318(f235(x66911),x66912),f318(f318(f73(a920),x66913),x66914)))
% 202.84/202.77 [6728]~P107(x67281)+E(f318(f318(f101(x67281),f318(f318(f92(x67281),x67282),x67283)),f318(f318(f92(x67281),x67282),x67284)),f318(f318(f92(x67281),x67282),f318(f318(f101(x67281),x67283),x67284)))
% 202.84/202.77 [6729]~P107(x67291)+E(f318(f318(f92(x67291),f318(f318(f101(x67291),x67292),x67293)),f318(f318(f101(x67291),x67292),x67294)),f318(f318(f101(x67291),x67292),f318(f318(f92(x67291),x67293),x67294)))
% 202.84/202.77 [6730]~P118(x67301)+E(f318(f318(f73(x67301),f318(f318(f74(x67301),x67302),x67303)),f318(f318(f74(x67301),x67302),x67304)),f318(f318(f74(x67301),x67302),f318(f318(f73(x67301),x67303),x67304)))
% 202.84/202.77 [6731]~P4(x67311)+E(f318(f318(f224(x67311),f318(f318(f223(x67311),x67312),x67313)),f318(f318(f223(x67311),x67312),x67314)),f318(f318(f223(x67311),x67312),f318(f318(f224(x67311),x67313),x67314)))
% 202.84/202.77 [6732]~P4(x67321)+E(f318(f318(f223(x67321),f318(f318(f224(x67321),x67322),x67323)),f318(f318(f224(x67321),x67322),x67324)),f318(f318(f224(x67321),x67322),f318(f318(f223(x67321),x67323),x67324)))
% 202.84/202.77 [6768]~P70(x67681)+E(f39(x67681,f318(f318(f74(x67681),x67682),x67683),f318(f318(f74(x67681),x67684),x67683)),f318(f318(f74(x67681),f39(x67681,x67682,x67684)),x67683))
% 202.84/202.77 [6771]~E(f318(f180(f921(x67711)),x67713),f318(f180(f921(x67712)),x67714))+E(f318(f318(f145(f926(x67711,x67712),x67712),f247(x67711,x67712)),f318(f318(f172(x67711,x67712),x67713),x67714)),x67714)
% 202.84/202.77 [6772]~E(f318(f180(f921(x67721)),x67723),f318(f180(f921(x67722)),x67724))+E(f318(f318(f145(f926(x67721,x67722),x67721),f242(x67721,x67722)),f318(f318(f172(x67721,x67722),x67723),x67724)),x67723)
% 202.84/202.77 [6777]P1(f318(f151(x67771,x67772),x67773))+~P1(f318(f151(x67771,x67772),f318(f318(f142(x67771),x67774),x67773)))
% 202.84/202.77 [6778]P1(f318(f151(x67781,x67782),x67783))+~P1(f318(f151(x67781,x67782),f318(f318(f125(x67781),x67784),x67783)))
% 202.84/202.77 [6779]P1(f318(f151(x67791,x67792),x67793))+~P1(f318(f151(x67791,x67792),f318(f318(f125(x67791),x67793),x67794)))
% 202.84/202.77 [6784]~P71(x67841)+E(f39(x67841,f318(f318(f3(x67841),x67842),f39(x67841,x67843,x67844)),x67844),f39(x67841,f318(f318(f3(x67841),x67842),x67843),x67844))
% 202.84/202.77 [6785]~P70(x67851)+E(f39(x67851,f318(f318(f74(x67851),x67852),f39(x67851,x67853,x67854)),x67854),f39(x67851,f318(f318(f74(x67851),x67852),x67853),x67854))
% 202.84/202.77 [6787]~P70(x67871)+E(f39(x67871,f318(f318(f73(x67871),x67872),f39(x67871,x67873,x67874)),x67874),f39(x67871,f318(f318(f73(x67871),x67872),x67873),x67874))
% 202.84/202.77 [6868]~P4(x68681)+E(f318(f318(f92(f927(x68681,a918)),f294(x68681,x68682,x68683)),f318(f292(x68681),x68684)),f294(x68681,x68682,f318(f318(f223(x68681),x68683),x68684)))
% 202.84/202.77 [6869]~P4(x68691)+E(f318(f318(f92(f927(x68691,a918)),f294(x68691,x68692,x68693)),f318(f274(x68691),x68694)),f294(x68691,f318(f318(f224(x68691),x68692),x68694),x68693))
% 202.84/202.77 [6872]~E(f318(f180(f921(x68721)),x68723),f318(f180(f921(x68722)),x68724))+E(f318(f318(f172(x68721,x68722),f318(f159(x68721),x68723)),f318(f159(x68722),x68724)),f318(f159(f926(x68721,x68722)),f318(f318(f172(x68721,x68722),x68723),x68724)))
% 202.84/202.77 [6885]E(x68851,f318(f318(f3(a920),f318(f180(f921(x68852)),x68853)),f71(a920)))+E(f105(x68852,f318(f318(f150(x68852,x68853),x68851),x68854)),f318(f318(f150(x68852,f105(x68852,x68853)),x68851),x68854))
% 202.84/202.77 [6900]~P1(f318(f128(x69002),x69004))+P1(f318(f128(f926(x69001,x69002)),f318(f318(f172(x69001,x69002),x69003),x69004)))
% 202.84/202.77 [6901]~P1(f318(f128(x69011),x69013))+P1(f318(f128(f926(x69011,x69012)),f318(f318(f172(x69011,x69012),x69013),x69014)))
% 202.84/202.77 [7170]E(f318(f318(f30(a920),x71701),x71702),x71703)+~P1(f318(f42(x71701,x71702),f318(f318(f243(a920,a920),x71703),x71704)))
% 202.84/202.77 [7193]E(f39(a920,x71931,x71932),x71933)+~P1(f318(f42(x71931,x71932),f318(f318(f243(a920,a920),x71934),x71933)))
% 202.84/202.77 [7196]P1(f318(f128(x71961),x71962))+~P1(f318(f128(x71963),f318(f318(f145(x71961,x71963),x71964),x71962)))
% 202.84/202.77 [7204]~P14(x72041,x72042,f318(f318(f300(f919(x72041)),x72043),x72044))+P14(x72041,x72042,f318(f318(f300(f919(x72041)),x72043),f179(f927(f919(x72041),a918))))
% 202.84/202.77 [7281]E(f161(x72811,x72812,f318(f318(f125(x72811),x72813),x72814)),f318(f318(f125(x72811),f161(x72811,x72812,x72813)),x72814))+~P1(f318(f318(f320(x72811),x72812),f318(f163(x72811),x72813)))
% 202.84/202.77 [7375]~P71(x73751)+E(f39(x73751,f318(f318(f3(x73751),f39(x73751,x73752,x73753)),x73754),x73753),f39(x73751,f318(f318(f3(x73751),x73752),x73754),x73753))
% 202.84/202.77 [7378]~P70(x73781)+E(f39(x73781,f318(f318(f74(x73781),f39(x73781,x73782,x73783)),x73784),x73783),f39(x73781,f318(f318(f74(x73781),x73782),x73784),x73783))
% 202.84/202.77 [7379]~P70(x73791)+E(f39(x73791,f318(f318(f73(x73791),f39(x73791,x73792,x73793)),x73794),x73793),f39(x73791,f318(f318(f73(x73791),x73792),x73794),x73793))
% 202.84/202.77 [7575]~E(x75751,f318(f318(f142(x75752),x75753),x75754))+~P1(f318(f318(f225(a920),f318(f180(f921(x75752)),x75751)),f318(f180(f921(x75752)),x75754)))
% 202.84/202.77 [7775]P25(x77751,x77752,x77753,f318(f163(x77751),x77754))+~P1(f318(f128(x77752),f318(f318(f145(x77751,x77752),x77753),x77754)))
% 202.84/202.77 [7850]~P1(f318(f318(f225(f927(x78501,a918)),x78502),x78504))+P1(f318(f318(f225(f927(x78501,a918)),x78502),f318(f318(f300(x78501),x78503),x78504)))
% 202.84/202.77 [7886]~P71(x78861)+E(f39(x78861,f318(f318(f3(x78861),f39(x78861,x78862,x78863)),f39(x78861,x78864,x78863)),x78863),f39(x78861,f318(f318(f3(x78861),x78862),x78864),x78863))
% 202.84/202.77 [7887]~P70(x78871)+E(f39(x78871,f318(f318(f74(x78871),f39(x78871,x78872,x78873)),f39(x78871,x78874,x78873)),x78873),f39(x78871,f318(f318(f74(x78871),x78872),x78874),x78873))
% 202.84/202.77 [7888]~P70(x78881)+E(f39(x78881,f318(f318(f73(x78881),f39(x78881,x78882,x78883)),f39(x78881,x78884,x78883)),x78883),f39(x78881,f318(f318(f73(x78881),x78882),x78884),x78883))
% 202.84/202.77 [7990]~E(f318(x79904,f480(x79904,x79903,x79901,x79902)),f233(f927(x79902,a918)))+E(f318(f318(f34(x79901,f927(x79902,a918)),x79903),x79904),f233(f927(x79902,a918)))
% 202.84/202.77 [7991]~E(f318(x79914,f470(x79914,x79913,x79911,x79912)),f179(f927(x79912,a918)))+E(f318(f318(f33(x79911,f927(x79912,a918)),x79913),x79914),f179(f927(x79912,a918)))
% 202.84/202.77 [7992]~E(f318(x79924,f478(x79924,x79923,x79922,x79921)),f179(f927(x79922,a918)))+E(f318(f318(f33(x79921,f927(x79922,a918)),x79923),x79924),f179(f927(x79922,a918)))
% 202.84/202.77 [7993]~E(f318(x79934,f481(x79934,x79933,x79932,x79931)),f233(f927(x79932,a918)))+E(f318(f318(f34(x79931,f927(x79932,a918)),x79933),x79934),f233(f927(x79932,a918)))
% 202.84/202.77 [8390]P1(f318(x83901,x83902))+~P1(f318(f318(f320(x83903),x83902),f318(f318(f92(f927(x83903,a918)),x83904),f318(f253(x83903),x83901))))
% 202.84/202.77 [8427]~P1(f318(f318(f225(f927(x84271,a918)),x84273),x84274))+P1(f318(f318(f225(f927(x84271,a918)),f318(f318(f300(x84271),x84272),x84273)),f318(f318(f300(x84271),x84272),x84274)))
% 202.84/202.77 [8606]P1(f318(x86062,x86063))+E(f318(f318(f129(x86061),f318(f180(f921(x86061)),f168(x86061,x86062,f318(f318(f142(x86061),x86063),x86064)))),f318(f318(f142(x86061),x86063),x86064)),f318(f318(f142(x86061),x86063),x86064))
% 202.84/202.77 [8716]~P1(f318(f318(f226(a920),f318(x87164,x87162)),f318(x87164,x87163)))+P1(f318(f318(f320(f926(x87161,x87161)),f318(f318(f243(x87161,x87161),x87162),x87163)),f318(f318(f279(a920,x87161),a231),x87164)))
% 202.84/202.77 [8813]~P1(f318(x88132,f745(x88134,x88132,x88133,x88131)))+E(f168(x88131,x88132,f318(f318(f125(x88131),x88133),x88134)),f318(f318(f125(x88131),x88133),f168(x88131,x88132,x88134)))
% 202.84/202.77 [8890]P25(f921(x88901),f921(x88902),f318(f145(x88901,x88902),x88903),x88904)+~P25(x88901,x88902,x88903,f31(f927(x88901,a918),f318(f301(f921(x88901),f927(x88901,a918),f163(x88901)),x88904)))
% 202.84/202.77 [8965]~P1(f318(x89652,x89653))+E(f318(f318(f129(x89651),f318(f180(f921(x89651)),f168(x89651,x89652,f318(f318(f142(x89651),x89653),x89654)))),f318(f318(f142(x89651),x89653),x89654)),f318(f318(f129(x89651),f318(f180(f921(x89651)),f168(x89651,x89652,x89654))),x89654))
% 202.84/202.77 [9007]~E(x90072,x90073)+E(f318(f127(x90071,f318(f318(f10(a918,a918,x90071),a313),f318(a315,x90072))),f318(f318(f142(x90071),x90073),x90074)),f318(f127(x90071,f318(f318(f10(a918,a918,x90071),a313),f318(a315,x90072))),x90074))
% 202.84/202.77 [9017]E(f318(f318(f34(x90171,f927(x90172,a918)),x90173),x90174),f233(f927(x90172,a918)))+P1(f318(f318(f320(x90171),f480(x90174,x90173,x90171,x90172)),x90173))
% 202.84/202.77 [9018]E(f318(f318(f33(x90181,f927(x90182,a918)),x90183),x90184),f179(f927(x90182,a918)))+P1(f318(f318(f320(x90181),f470(x90184,x90183,x90181,x90182)),x90183))
% 202.84/202.77 [9019]E(f318(f318(f33(x90191,f927(x90192,a918)),x90193),x90194),f179(f927(x90192,a918)))+P1(f318(f318(f320(x90191),f478(x90194,x90193,x90192,x90191)),x90193))
% 202.84/202.77 [9020]E(f318(f318(f34(x90201,f927(x90202,a918)),x90203),x90204),f233(f927(x90202,a918)))+P1(f318(f318(f320(x90201),f481(x90204,x90203,x90202,x90201)),x90203))
% 202.84/202.77 [9058]P1(f318(f318(f226(a920),f318(x90581,x90582)),f318(x90581,x90583)))+~P1(f318(f318(f320(f926(x90584,x90584)),f318(f318(f243(x90584,x90584),x90582),x90583)),f318(f318(f279(a920,x90584),a231),x90581)))
% 202.84/202.77 [9085]E(f168(x90851,x90852,f318(f318(f125(x90851),x90853),x90854)),f318(f318(f125(x90851),x90853),f168(x90851,x90852,x90854)))+P1(f318(f318(f320(x90851),f745(x90854,x90852,x90853,x90851)),f318(f163(x90851),x90853)))
% 202.84/202.77 [9138]~P26(x91381,x91382,x91383,f233(f927(x91381,a918)),f233(f927(x91382,a918)))+E(f318(f301(x91381,x91382,x91383),f318(f72(f927(x91381,a918)),x91384)),f318(f72(f927(x91382,a918)),f318(f301(x91381,x91382,x91383),x91384)))
% 202.84/202.77 [9243]P1(f318(f318(f320(x92431),f528(x92432,x92433,x92434,x92431)),x92433))+~P1(f318(f318(f320(f927(x92431,a918)),x92434),f318(f318(f54(x92431),x92433),x92432)))
% 202.84/202.77 [9246]E(x92461,x92462)+~P1(f318(f318(f320(f926(x92463,x92463)),f318(f318(f243(x92463,x92463),x92461),x92462)),f318(f318(f174(f926(x92463,x92463),a918),f2(a920)),x92464)))
% 202.84/202.77 [9327]E(f318(f276(x93271,x93271,x93272),f318(f318(f300(x93271),f528(x93272,x93273,x93274,x93271)),f179(f927(x93271,a918)))),x93274)+~P1(f318(f318(f320(f927(x93271,a918)),x93274),f318(f318(f54(x93271),x93273),x93272)))
% 202.84/202.77 [9332]~P1(f318(f318(f320(f926(x93321,x93321)),f318(f318(f243(x93321,x93321),x93323),x93322)),f298(x93321,x93324)))+P1(f318(f318(f320(f926(x93321,x93321)),f318(f318(f243(x93321,x93321),x93322),x93323)),f298(x93321,f318(f277(x93321,x93321),x93324))))
% 202.84/202.77 [9345]~P70(x93451)+E(f318(f318(f73(x93451),f318(f318(f73(x93451),f318(f318(f74(x93451),x93452),f318(f318(f30(x93451),x93453),x93452))),f39(x93451,x93453,x93452))),x93454),f318(f318(f73(x93451),x93453),x93454))
% 202.84/202.77 [9358]~P1(f318(f318(f320(x93581),x93583),x93584))+P1(f318(f318(f320(f927(x93581,a918)),f318(f276(x93581,x93581,x93582),f318(f318(f300(x93581),x93583),f179(f927(x93581,a918))))),f318(f318(f54(x93581),x93584),x93582)))
% 202.84/202.77 [9370]P1(f318(f318(f320(f926(x93701,x93701)),f318(f318(f243(x93701,x93701),x93702),x93703)),f298(x93701,x93704)))+~P1(f318(f318(f320(f926(x93701,x93701)),f318(f318(f243(x93701,x93701),x93703),x93702)),f298(x93701,f318(f277(x93701,x93701),x93704))))
% 202.84/202.77 [9456]E(f318(f318(f150(x94561,f318(f159(x94561),x94562)),f318(f318(f3(a920),f318(f318(f3(a920),f318(f180(f921(x94561)),x94562)),x94563)),f71(a920))),x94564),f318(f159(x94561),f318(f318(f150(x94561,x94562),x94563),x94564)))+~P1(f318(f318(f226(a920),x94563),f318(f180(f921(x94561)),x94562)))
% 202.84/202.77 [9460]~P1(f318(x94602,f739(x94604,x94602,x94603,x94601)))+E(f318(f318(f129(x94601),f318(f180(f921(x94601)),f168(x94601,x94602,f318(f318(f125(x94601),x94603),x94604)))),f318(f318(f125(x94601),x94603),x94604)),f318(f318(f129(x94601),f318(f180(f921(x94601)),f168(x94601,x94602,x94604))),x94604))
% 202.84/202.77 [9505]~P25(x95052,x95051,x95053,f233(f927(x95052,a918)))+P1(f318(f318(f225(f927(x95051,a918)),f318(f301(x95052,x95051,x95053),f318(f72(f927(x95052,a918)),x95054))),f318(f72(f927(x95051,a918)),f318(f301(x95052,x95051,x95053),x95054))))
% 202.84/202.77 [9518]~P5(x95181)+E(f318(f133(x95181,x95182,f318(f9(x95182,x95181,x95181),f318(f318(f10(x95181,f927(x95181,x95181),x95182),f101(x95181)),x95183)),f179(x95181)),x95184),f318(f318(f33(x95182,x95181),f318(f163(x95182),x95184)),x95183))
% 202.84/202.77 [9519]~P5(x95191)+E(f318(f133(x95191,x95192,f318(f9(x95192,x95191,x95191),f318(f318(f10(x95191,f927(x95191,x95191),x95192),f92(x95191)),x95193)),f233(x95191)),x95194),f318(f318(f34(x95192,x95191),f318(f163(x95192),x95194)),x95193))
% 202.84/202.77 [9529]E(f318(f318(f129(x95291),f318(f180(f921(x95291)),f168(x95291,x95292,f318(f318(f125(x95291),x95293),x95294)))),f318(f318(f125(x95291),x95293),x95294)),f318(f318(f129(x95291),f318(f180(f921(x95291)),f168(x95291,x95292,x95294))),x95294))+P1(f318(f318(f320(x95291),f739(x95294,x95292,x95293,x95291)),f318(f163(x95291),x95293)))
% 202.84/202.77 [9599]~P1(f318(f318(f320(f926(f921(x95994),f921(x95994))),f318(f318(f243(f921(x95994),f921(x95994)),x95993),x95992)),f148(x95994,x95991)))+P1(f318(f318(f226(a920),f673(x95991,x95992,x95993,x95994)),f318(f180(f921(x95994)),x95993)))
% 202.84/202.77 [9600]~P70(x96001)+E(f318(f318(f73(x96001),f318(f318(f73(x96001),f318(f318(f74(x96001),f318(f318(f30(x96001),x96002),x96003)),x96003)),f39(x96001,x96002,x96003))),x96004),f318(f318(f73(x96001),x96002),x96004))
% 202.84/202.77 [9630]~P1(f318(f318(f320(f926(f921(x96301),f921(x96301))),f318(f318(f243(f921(x96301),f921(x96301)),x96302),x96303)),f318(f277(f921(x96301),f921(x96301)),f148(x96301,x96304))))+P1(f318(f318(f320(f926(f921(x96301),f921(x96301))),f318(f318(f243(f921(x96301),f921(x96301)),x96302),x96303)),f148(x96301,f318(f277(x96301,x96301),x96304))))
% 202.84/202.77 [9631]P1(f318(f318(f320(f926(f921(x96311),f921(x96311))),f318(f318(f243(f921(x96311),f921(x96311)),x96312),x96313)),f318(f277(f921(x96311),f921(x96311)),f148(x96311,x96314))))+~P1(f318(f318(f320(f926(f921(x96311),f921(x96311))),f318(f318(f243(f921(x96311),f921(x96311)),x96312),x96313)),f148(x96311,f318(f277(x96311,x96311),x96314))))
% 202.84/202.77 [9671]~P1(f318(f318(f320(x96711),x96713),f318(f255(x96711,x96712),x96714)))+P1(f318(f318(f320(f926(x96711,x96712)),f318(f318(f243(x96711,x96712),x96713),f579(x96714,x96712,x96713,x96711))),x96714))
% 202.84/202.77 [9672]~P1(f318(f318(f320(x96721),x96723),f318(f255(x96721,x96722),x96724)))+P1(f318(f318(f320(f926(x96721,x96722)),f318(f318(f243(x96721,x96722),x96723),f580(x96724,x96722,x96723,x96721))),x96724))
% 202.84/202.77 [9829]~P1(f318(f318(f320(f926(x98291,x98291)),f318(f318(f243(x98291,x98291),x98292),x98294)),f318(f318(f280(x98291,x98291,x98291),x98293),f298(x98291,x98293))))+P1(f318(f318(f320(f926(x98291,x98291)),f318(f318(f243(x98291,x98291),x98292),f637(x98293,x98294,x98292,x98291))),x98293))
% 202.84/202.77 [9991]P11(x99911,x99912,x99913,x99914)+P1(f318(f318(f320(f926(x99911,x99911)),f318(f318(f243(x99911,x99911),f837(x99912,x99914,x99913,x99911)),f836(x99912,x99914,x99913,x99911))),x99913))
% 202.84/202.77 [10000]~P1(f318(f318(f320(f926(x100002,x100001)),x100004),f318(f277(x100001,x100002),x100003)))+P1(f318(f318(f320(f926(x100001,x100002)),f318(f318(f243(x100001,x100002),f646(x100003,x100004,x100001,x100002)),f645(x100003,x100004,x100001,x100002))),x100003))
% 202.84/202.77 [10025]~P1(f318(f318(f320(f926(f921(x100251),f921(x100251))),f318(f318(f243(f921(x100251),f921(x100251)),x100254),x100253)),f148(x100251,x100252)))+P1(f318(f318(f320(f926(x100251,x100251)),f318(f318(f243(x100251,x100251),f686(x100252,x100253,x100254,x100251)),f687(x100252,x100253,x100254,x100251))),x100252))
% 202.84/202.77 [10115]~P1(f318(f318(f320(f926(f921(x101151),f921(x101151))),f318(f318(f243(f921(x101151),f921(x101151)),x101152),x101154)),f148(x101151,x101153)))+P1(f318(f318(f320(f926(x101151,x101151)),f318(f318(f243(x101151,x101151),f318(f318(f155(x101151),x101152),f673(x101153,x101154,x101152,x101151))),f674(x101153,x101154,x101152,x101151))),x101153))
% 202.84/202.77 [10135]~P1(f318(f55(x101352),x101354))+E(f318(f318(f318(f59(f927(x101351,a918),x101352,f101(f927(x101351,a918))),f318(f318(f9(x101352,f927(x101351,a918),f927(x101351,a918)),f318(f318(f10(x101351,f927(f927(x101351,a918),f927(x101351,a918)),x101352),f300(x101351)),x101353)),f179(f927(x101351,a918)))),f179(f927(x101351,a918))),x101354),f318(f301(x101352,x101351,x101353),x101354))
% 202.84/202.77 [10245]~P25(x102451,x102452,x102453,f233(f927(x102451,a918)))+P1(f318(f318(f225(f927(x102451,a918)),f318(f302(x102451,x102452,x102453),f318(f318(f300(x102452),x102454),f179(f927(x102452,a918))))),f318(f318(f300(x102451),f78(x102451,f318(f318(f9(x102451,x102452,a918),f318(f318(f10(x102452,f927(x102452,a918),x102451),a315),x102453)),x102454))),f179(f927(x102451,a918)))))
% 202.84/202.77 [5782]~E(f318(f318(f125(x57821),x57822),x57824),x57823)+E(f318(f318(f166(x57821),f318(f180(f921(x57821)),x57822)),x57823),x57822)
% 202.84/202.77 [5783]~E(f318(f318(f125(x57832),x57833),x57831),x57834)+E(x57831,f318(f318(f129(x57832),f318(f180(f921(x57832)),x57833)),x57834))
% 202.84/202.77 [5794]~E(x57944,f2(a920))+E(f318(f318(f155(x57941),f318(f318(f142(x57941),x57942),x57943)),x57944),x57942)
% 202.84/202.77 [6344]~P118(x63441)+E(f318(f318(f235(x63441),f318(f318(f235(x63441),x63442),x63443)),x63444),f318(f318(f235(x63441),x63442),f318(f318(f74(a920),x63443),x63444)))
% 202.84/202.77 [6345]~P90(x63451)+E(f318(f318(f235(x63451),f318(f318(f235(x63451),x63452),x63453)),x63454),f318(f318(f235(x63451),x63452),f318(f318(f74(a920),x63453),x63454)))
% 202.84/202.77 [6354]E(x63541,f2(a920))+E(f318(f318(f155(x63542),f318(f318(f142(x63542),x63543),x63544)),x63541),f318(f318(f155(x63542),x63544),f318(f318(f3(a920),x63541),f71(a920))))
% 202.84/202.77 [6381]~P125(x63811)+E(f318(f318(f282(x63811),f318(f318(f74(x63811),x63812),x63813)),x63814),f318(f318(f74(x63811),x63812),f318(f318(f282(x63811),x63813),x63814)))
% 202.84/202.77 [6384]~P103(x63841)+E(f318(f318(f92(x63841),f318(f318(f92(x63841),x63842),x63843)),x63844),f318(f318(f92(x63841),x63842),f318(f318(f92(x63841),x63843),x63844)))
% 202.84/202.77 [6385]~P104(x63851)+E(f318(f318(f92(x63851),f318(f318(f92(x63851),x63852),x63853)),x63854),f318(f318(f92(x63851),x63852),f318(f318(f92(x63851),x63853),x63854)))
% 202.84/202.77 [6387]~P109(x63871)+E(f318(f318(f101(x63871),f318(f318(f101(x63871),x63872),x63873)),x63874),f318(f318(f101(x63871),x63872),f318(f318(f101(x63871),x63873),x63874)))
% 202.84/202.77 [6388]~P104(x63881)+E(f318(f318(f101(x63881),f318(f318(f101(x63881),x63882),x63883)),x63884),f318(f318(f101(x63881),x63882),f318(f318(f101(x63881),x63883),x63884)))
% 202.84/202.77 [6389]~P78(x63891)+E(f318(f318(f74(x63891),f318(f318(f74(x63891),x63892),x63893)),x63894),f318(f318(f74(x63891),x63892),f318(f318(f74(x63891),x63893),x63894)))
% 202.84/202.77 [6390]~P118(x63901)+E(f318(f318(f74(x63901),f318(f318(f74(x63901),x63902),x63903)),x63904),f318(f318(f74(x63901),x63902),f318(f318(f74(x63901),x63903),x63904)))
% 202.84/202.77 [6392]~P118(x63921)+E(f318(f318(f73(x63921),f318(f318(f73(x63921),x63922),x63923)),x63924),f318(f318(f73(x63921),x63922),f318(f318(f73(x63921),x63923),x63924)))
% 202.84/202.77 [6393]~P79(x63931)+E(f318(f318(f73(x63931),f318(f318(f73(x63931),x63932),x63933)),x63934),f318(f318(f73(x63931),x63932),f318(f318(f73(x63931),x63933),x63934)))
% 202.84/202.77 [6395]~P4(x63951)+E(f318(f318(f223(x63951),f318(f318(f223(x63951),x63952),x63953)),x63954),f318(f318(f223(x63951),x63952),f318(f318(f223(x63951),x63953),x63954)))
% 202.84/202.77 [6397]~P4(x63971)+E(f318(f318(f224(x63971),f318(f318(f224(x63971),x63972),x63973)),x63974),f318(f318(f224(x63971),x63972),f318(f318(f224(x63971),x63973),x63974)))
% 202.84/202.77 [6406]~P70(x64061)+E(f39(x64061,f318(f318(f73(x64061),x64062),f318(f318(f74(x64061),x64063),x64064)),x64064),f39(x64061,x64062,x64064))
% 202.84/202.77 [6407]~P70(x64071)+E(f39(x64071,f318(f318(f73(x64071),x64072),f318(f318(f74(x64071),x64073),x64074)),x64073),f39(x64071,x64072,x64073))
% 202.84/202.77 [6545]E(f318(f318(f155(x65451),f318(f318(f166(x65451),x65452),x65453)),x65454),f318(f318(f155(x65451),x65453),x65454))+~P1(f318(f318(f226(a920),x65454),x65452))
% 202.84/202.77 [6724]~E(x67242,x67244)+P1(f318(f318(f163(x67241),f318(f318(f142(x67241),x67242),x67243)),x67244))
% 202.84/202.77 [6726]~P118(x67261)+E(f318(f318(f74(x67261),f318(f318(f74(x67261),x67262),x67263)),x67264),f318(f318(f74(x67261),f318(f318(f74(x67261),x67262),x67264)),x67263))
% 202.84/202.77 [6727]~P118(x67271)+E(f318(f318(f73(x67271),f318(f318(f73(x67271),x67272),x67273)),x67274),f318(f318(f73(x67271),f318(f318(f73(x67271),x67272),x67274)),x67273))
% 202.84/202.77 [6790]~P115(x67902)+E(f318(f318(f8(x67901,x67902),f318(f18(x67902,x67901),x67903)),x67904),f318(f318(f74(x67902),f318(f91(x67902),f318(f29(x67901),x67904))),x67903))
% 202.84/202.77 [6964]E(f318(f318(f92(f927(x69641,a918)),f318(f318(f300(x69641),x69642),x69643)),x69644),f318(f318(f92(f927(x69641,a918)),x69643),x69644))+P1(f318(f318(f320(x69641),x69642),x69644))
% 202.84/202.77 [7036]~P107(x70361)+E(f318(f318(f101(x70361),f318(f318(f92(x70361),x70362),x70363)),f318(f318(f92(x70361),x70364),x70363)),f318(f318(f92(x70361),f318(f318(f101(x70361),x70362),x70364)),x70363))
% 202.84/202.77 [7037]~P107(x70371)+E(f318(f318(f92(x70371),f318(f318(f101(x70371),x70372),x70373)),f318(f318(f101(x70371),x70374),x70373)),f318(f318(f101(x70371),f318(f318(f92(x70371),x70372),x70374)),x70373))
% 202.84/202.77 [7038]~P67(x70381)+E(f318(f318(f223(x70381),f318(f318(f3(x70381),x70382),x70383)),f318(f318(f3(x70381),x70384),x70383)),f318(f318(f3(x70381),f318(f318(f223(x70381),x70382),x70384)),x70383))
% 202.84/202.77 [7039]~P67(x70391)+E(f318(f318(f224(x70391),f318(f318(f3(x70391),x70392),x70393)),f318(f318(f3(x70391),x70394),x70393)),f318(f318(f3(x70391),f318(f318(f224(x70391),x70392),x70394)),x70393))
% 202.84/202.77 [7041]~P119(x70411)+E(f318(f318(f73(x70411),f318(f318(f74(x70411),x70412),x70413)),f318(f318(f74(x70411),x70414),x70413)),f318(f318(f74(x70411),f318(f318(f73(x70411),x70412),x70414)),x70413))
% 202.84/202.77 [7042]~P91(x70421)+E(f318(f318(f223(x70421),f318(f318(f73(x70421),x70422),x70423)),f318(f318(f73(x70421),x70424),x70423)),f318(f318(f73(x70421),f318(f318(f223(x70421),x70422),x70424)),x70423))
% 202.84/202.77 [7043]~P91(x70431)+E(f318(f318(f224(x70431),f318(f318(f73(x70431),x70432),x70433)),f318(f318(f73(x70431),x70434),x70433)),f318(f318(f73(x70431),f318(f318(f224(x70431),x70432),x70434)),x70433))
% 202.84/202.77 [7044]~P118(x70441)+E(f318(f318(f74(x70441),f318(f318(f235(x70441),x70442),x70443)),f318(f318(f235(x70441),x70444),x70443)),f318(f318(f235(x70441),f318(f318(f74(x70441),x70442),x70444)),x70443))
% 202.84/202.77 [7045]~P84(x70451)+E(f318(f318(f74(x70451),f318(f318(f235(x70451),x70452),x70453)),f318(f318(f235(x70451),x70454),x70453)),f318(f318(f235(x70451),f318(f318(f74(x70451),x70452),x70454)),x70453))
% 202.84/202.77 [7046]~P74(x70461)+E(f318(f318(f282(x70461),f318(f318(f235(x70461),x70462),x70463)),f318(f318(f235(x70461),x70464),x70463)),f318(f318(f235(x70461),f318(f318(f282(x70461),x70462),x70464)),x70463))
% 202.84/202.77 [7047]~P125(x70471)+E(f318(f318(f3(x70471),f318(f318(f282(x70471),x70472),x70473)),f318(f318(f282(x70471),x70474),x70473)),f318(f318(f282(x70471),f318(f318(f3(x70471),x70472),x70474)),x70473))
% 202.84/202.77 [7048]~P125(x70481)+E(f318(f318(f73(x70481),f318(f318(f282(x70481),x70482),x70483)),f318(f318(f282(x70481),x70484),x70483)),f318(f318(f282(x70481),f318(f318(f73(x70481),x70482),x70484)),x70483))
% 202.84/202.77 [7049]~P4(x70491)+E(f318(f318(f224(x70491),f318(f318(f223(x70491),x70492),x70493)),f318(f318(f223(x70491),x70494),x70493)),f318(f318(f223(x70491),f318(f318(f224(x70491),x70492),x70494)),x70493))
% 202.84/202.77 [7050]~P4(x70501)+E(f318(f318(f223(x70501),f318(f318(f224(x70501),x70502),x70503)),f318(f318(f224(x70501),x70504),x70503)),f318(f318(f224(x70501),f318(f318(f223(x70501),x70502),x70504)),x70503))
% 202.84/202.77 [7051]~P118(x70511)+E(f318(f318(f73(x70511),f318(f318(f74(x70511),x70512),x70513)),f318(f318(f74(x70511),x70514),x70513)),f318(f318(f74(x70511),f318(f318(f73(x70511),x70512),x70514)),x70513))
% 202.84/202.77 [7083]E(f318(f318(f150(x70831,x70832),x70833),x70834),x70832)+~P1(f318(f318(f225(a920),f318(f180(f921(x70831)),x70832)),x70833))
% 202.84/202.77 [7110]~P1(f318(x71103,x71104))+P1(f318(f318(f318(f101(f927(x71101,a918)),x71102),x71103),x71104))
% 202.84/202.77 [7112]~P1(f318(x71122,x71124))+P1(f318(f318(f318(f101(f927(x71121,a918)),x71122),x71123),x71124))
% 202.84/202.77 [7131]E(f318(f318(f155(x71311),f318(f318(f125(x71311),x71312),x71313)),x71314),f318(f318(f155(x71311),x71312),x71314))+~P1(f318(f318(f226(a920),x71314),f318(f180(f921(x71311)),x71312)))
% 202.84/202.77 [7142]E(f318(f318(f3(f927(x71421,a918)),f318(f318(f300(x71421),x71422),x71423)),x71424),f318(f318(f3(f927(x71421,a918)),x71423),x71424))+~P1(f318(f318(f320(x71421),x71422),x71424))
% 202.84/202.77 [7183]~E(f130(a920,f318(f293(a920,x71831),x71832)),f318(f318(f142(a920),x71834),x71833))+E(f130(a920,f318(f293(a920,f318(f318(f73(a920),x71831),f71(a920))),x71832)),x71833)
% 202.84/202.77 [7205]~P1(f318(f318(f163(x72051),x72053),x72054))+P1(f318(f318(f163(x72051),f318(f318(f142(x72051),x72052),x72053)),x72054))
% 202.84/202.77 [7255]E(x72551,f2(a920))+E(f318(f318(f142(x72552),x72553),f318(f318(f166(x72552),f318(f318(f3(a920),x72551),f71(a920))),x72554)),f318(f318(f166(x72552),x72551),f318(f318(f142(x72552),x72553),x72554)))
% 202.84/202.77 [7359]E(f318(f318(f155(x73591),x73592),f318(f318(f3(a920),x73593),f318(f180(f921(x73591)),x73594))),f318(f318(f155(x73591),f318(f318(f125(x73591),x73594),x73592)),x73593))+P1(f318(f318(f226(a920),x73593),f318(f180(f921(x73591)),x73594)))
% 202.84/202.77 [7390]E(f318(f318(f92(f927(x73901,a918)),x73902),f318(f318(f300(x73901),x73903),x73904)),f318(f318(f300(x73901),x73903),f318(f318(f92(f927(x73901,a918)),x73902),x73904)))+~P1(f318(f318(f320(x73901),x73903),x73902))
% 202.84/202.77 [7429]E(f318(f318(f155(x74291),f318(f318(f150(x74291,x74292),x74293),x74294)),x74293),x74294)+~P1(f318(f318(f226(a920),x74293),f318(f180(f921(x74291)),x74292)))
% 202.84/202.77 [7451]E(x74511,f179(f927(x74512,a918)))+E(f318(f301(f926(x74513,x74512),x74513,f242(x74513,x74512)),f318(f318(f245(x74513,x74512),x74514),f318(f18(f927(x74512,a918),x74513),x74511))),x74514)
% 202.84/202.77 [7452]E(x74521,f179(f927(x74522,a918)))+E(f318(f301(f926(x74522,x74523),x74523,f247(x74522,x74523)),f318(f318(f245(x74522,x74523),x74521),f318(f18(f927(x74523,a918),x74522),x74524))),x74524)
% 202.84/202.77 [7524]E(f318(f318(f3(f927(x75241,a918)),f318(f318(f300(x75241),x75242),x75243)),x75244),f318(f318(f300(x75241),x75242),f318(f318(f3(f927(x75241,a918)),x75243),x75244)))+P1(f318(f318(f320(x75241),x75242),x75244))
% 202.84/202.77 [7560]~E(x75604,f179(f927(x75602,a918)))+E(f318(f301(f926(x75601,x75602),x75601,f242(x75601,x75602)),f318(f318(f245(x75601,x75602),x75603),f318(f18(f927(x75602,a918),x75601),x75604))),f179(f927(x75601,a918)))
% 202.84/202.77 [7561]~E(x75613,f179(f927(x75611,a918)))+E(f318(f301(f926(x75611,x75612),x75612,f247(x75611,x75612)),f318(f318(f245(x75611,x75612),x75613),f318(f18(f927(x75612,a918),x75611),x75614))),f179(f927(x75612,a918)))
% 202.84/202.77 [7612]~P1(f318(f318(f320(x76121),x76122),x76124))+P1(f318(f318(f320(x76121),x76122),f318(f318(f101(f927(x76121,a918)),x76123),x76124)))
% 202.84/202.77 [7615]~P1(f318(f318(f320(x76151),x76152),x76153))+P1(f318(f318(f320(x76151),x76152),f318(f318(f101(f927(x76151,a918)),x76153),x76154)))
% 202.84/202.77 [7633]E(f318(f318(f92(f927(x76331,a918)),f318(f318(f300(x76331),x76332),x76333)),x76334),f318(f318(f300(x76331),x76332),f318(f318(f92(f927(x76331,a918)),x76333),x76334)))+~P1(f318(f318(f320(x76331),x76332),x76334))
% 202.84/202.77 [7908]P1(f318(x79081,x79082))+~P1(f318(f318(f318(f92(f927(x79083,a918)),x79084),x79081),x79082))
% 202.84/202.77 [7909]P1(f318(x79091,x79092))+~P1(f318(f318(f318(f92(f927(x79093,a918)),x79091),x79094),x79092))
% 202.84/202.77 [7910]E(f318(f318(f8(x79101,a920),x79102),f318(f318(f3(f927(x79101,a918)),x79103),f318(f318(f300(x79101),x79104),f179(f927(x79101,a918))))),f318(f318(f8(x79101,a920),x79102),x79103))+P1(f318(f318(f320(x79101),x79104),x79103))
% 202.84/202.77 [7915]~P83(x79151)+E(f318(f156(x79151),f318(f318(f145(a920,x79151),x79152),f130(a920,f318(f293(a920,x79153),x79154)))),f318(f318(f8(a920,x79151),x79152),f318(f163(a920),f130(a920,f318(f293(a920,x79153),x79154)))))
% 202.84/202.77 [7916]~P83(x79161)+E(f318(f318(f8(a920,x79161),x79162),f318(f163(a920),f130(a920,f318(f293(a920,x79163),x79164)))),f318(f156(x79161),f318(f318(f145(a920,x79161),x79162),f130(a920,f318(f293(a920,x79163),x79164)))))
% 202.84/202.77 [8030]~E(x80303,x80304)+P1(f318(f56(x80301,x80302,f318(f318(f300(x80301),x80303),f179(f927(x80301,a918)))),x80304))
% 202.84/202.77 [8127]P1(f318(f318(f320(x81271),x81272),f318(f163(x81271),x81273)))+~P1(f318(f318(f320(x81271),x81272),f318(f163(x81271),f318(f318(f166(x81271),x81274),x81273))))
% 202.84/202.77 [8128]P1(f318(f318(f320(x81281),x81282),f318(f163(x81281),x81283)))+~P1(f318(f318(f320(x81281),x81282),f318(f163(x81281),f318(f318(f129(x81281),x81284),x81283))))
% 202.84/202.77 [8199]P1(f318(f318(f320(x81991),x81992),x81993))+~P1(f318(f318(f320(x81991),x81992),f318(f318(f92(f927(x81991,a918)),x81994),x81993)))
% 202.84/202.77 [8202]P1(f318(f318(f320(x82021),x82022),x82023))+~P1(f318(f318(f320(x82021),x82022),f318(f318(f92(f927(x82021,a918)),x82023),x82024)))
% 202.84/202.77 [8205]P1(f318(f318(f320(x82051),x82052),x82053))+~P1(f318(f318(f320(x82051),x82052),f318(f318(f3(f927(x82051,a918)),x82053),x82054)))
% 202.84/202.78 [8220]E(f318(f318(f125(x82201),f318(f318(f166(x82201),x82202),x82203)),f318(f318(f142(x82201),x82204),f318(f318(f129(x82201),f318(a103,x82202)),x82203))),f318(f318(f150(x82201,x82203),x82202),x82204))+~P1(f318(f318(f226(a920),x82202),f318(f180(f921(x82201)),x82203)))
% 202.84/202.78 [8243]P1(f318(f318(f320(x82431),x82432),x82433))+~P1(f318(f318(f225(f927(x82431,a918)),f318(f318(f300(x82431),x82432),x82434)),x82433))
% 202.84/202.78 [8280]~P1(f318(f318(f320(x82801),x82802),x82803))+~P1(f318(f318(f320(x82801),x82802),f318(f318(f3(f927(x82801,a918)),x82804),x82803)))
% 202.84/202.78 [8314]~P1(f318(f318(f226(a920),x83144),f318(f180(f921(x83141)),x83143)))+P1(f318(f318(f320(x83141),x83142),f318(f163(x83141),f318(f318(f150(x83141,x83143),x83144),x83142))))
% 202.84/202.78 [8369]E(f318(f318(f155(x83691),f318(f318(f129(x83691),x83692),x83693)),x83694),f318(f318(f155(x83691),x83693),f318(f318(f73(a920),x83692),x83694)))+~P1(f318(f318(f225(a920),f318(f318(f73(a920),x83692),x83694)),f318(f180(f921(x83691)),x83693)))
% 202.84/202.78 [8378]~P115(x83782)+E(f318(f318(f8(x83781,x83782),f318(f318(f10(a920,x83782,x83781),f91(x83782)),x83783)),x83784),f318(f91(x83782),f318(f318(f8(x83781,a920),x83783),x83784)))
% 202.84/202.78 [8379]~P146(x83792)+E(f318(f318(f8(x83791,x83792),f318(f318(f10(a1,x83792,x83791),f93(x83792)),x83793)),x83794),f318(f93(x83792),f318(f318(f8(x83791,a1),x83793),x83794)))
% 202.84/202.78 [8429]~P77(x84292)+E(f318(f318(f11(x84291,x84292),f318(f318(f10(x84292,x84292,x84291),f69(x84292)),x84293)),x84294),f318(f69(x84292),f318(f318(f11(x84291,x84292),x84293),x84294)))
% 202.84/202.78 [8430]~P69(x84302)+E(f318(f318(f8(x84301,x84302),f318(f318(f10(x84302,x84302,x84301),f72(x84302)),x84303)),x84304),f318(f72(x84302),f318(f318(f8(x84301,x84302),x84303),x84304)))
% 202.84/202.78 [8432]E(f318(f318(f8(x84321,a920),x84322),f318(f318(f3(f927(x84321,a918)),x84323),f318(f318(f300(x84321),x84324),f179(f927(x84321,a918))))),f318(f318(f3(a920),f318(f318(f8(x84321,a920),x84322),x84323)),f318(x84322,x84324)))+~P1(f318(f318(f320(x84321),x84324),x84323))
% 202.84/202.78 [8451]P1(f318(f318(f225(f927(x84511,a918)),x84512),x84513))+~P1(f318(f318(f225(f927(x84511,a918)),f318(f318(f300(x84511),x84514),x84512)),x84513))
% 202.84/202.78 [8575]~E(f318(f301(x85752,x85753,x85751),f233(f927(x85752,a918))),f233(f927(x85753,a918)))+E(f318(x85751,f318(f84(x85752,x85753,f233(f927(x85752,a918)),x85751),x85754)),x85754)
% 202.84/202.78 [8660]P39(x86601,x86602)+~P39(x86601,f318(f318(f300(f926(x86601,x86601)),f318(f318(f243(x86601,x86601),x86603),x86604)),x86602))
% 202.84/202.78 [8661]P61(x86611,x86612)+~P61(x86611,f318(f318(f300(f926(x86611,x86611)),f318(f318(f243(x86611,x86611),x86613),x86614)),x86612))
% 202.84/202.78 [8666]~P4(x86661)+E(f318(f318(f139(x86661,x86661,f7(x86661)),x86662),f318(f318(f139(x86661,x86661,f7(x86661)),x86663),x86664)),f318(f318(f139(x86661,x86661,f7(x86661)),x86663),f318(f318(f139(x86661,x86661,f7(x86661)),x86662),x86664)))
% 202.84/202.78 [8681]E(x86811,x86812)+~P1(f318(f56(x86813,x86814,f318(f318(f300(x86813),x86811),f179(f927(x86813,a918)))),x86812))
% 202.84/202.78 [8693]E(f318(f318(f125(x86931),f318(f318(f166(x86931),x86932),x86933)),f318(f318(f166(x86931),x86934),f318(f318(f129(x86931),x86932),x86933))),f318(f318(f166(x86931),f318(f318(f73(a920),x86932),x86934)),x86933))+~P1(f318(f318(f225(a920),f318(f318(f73(a920),x86932),x86934)),f318(f180(f921(x86931)),x86933)))
% 202.84/202.78 [8732]P1(f318(f55(x87321),x87322))+~E(x87322,f318(f301(a920,x87321,x87323),f318(f253(a920),f318(f318(f9(a920,a920,a918),f226(a920)),x87324))))
% 202.84/202.78 [8752]~P97(x87521)+E(f318(f133(x87521,x87521,f73(x87521),f318(f318(f73(x87521),x87522),x87523)),x87524),f318(f318(f73(x87521),x87522),f318(f133(x87521,x87521,f73(x87521),x87523),x87524)))
% 202.84/202.78 [8789]P1(f318(f318(f225(f927(x87891,a918)),f318(f255(x87891,x87892),x87893)),f318(f255(x87891,x87892),x87894)))+~P1(f318(f318(f225(f927(f926(x87891,x87892),a918)),x87893),x87894))
% 202.84/202.78 [8801]~P1(f318(f318(f225(a920),x88012),x88014))+P1(f318(f318(f225(f927(x88011,a918)),f318(f163(x88011),f318(f318(f166(x88011),x88012),x88013))),f318(f163(x88011),f318(f318(f166(x88011),x88014),x88013))))
% 202.84/202.78 [8802]~P1(f318(f318(f225(a920),x88024),x88022))+P1(f318(f318(f225(f927(x88021,a918)),f318(f163(x88021),f318(f318(f129(x88021),x88022),x88023))),f318(f163(x88021),f318(f318(f129(x88021),x88024),x88023))))
% 202.84/202.78 [8859]~P1(f318(f55(x88591),f318(f318(f3(f927(x88591,a918)),x88592),x88594)))+P1(f318(f55(x88591),f318(f318(f3(f927(x88591,a918)),x88592),f318(f318(f300(x88591),x88593),x88594))))
% 202.84/202.78 [8901]P1(f318(f318(f320(f926(x89011,x89011)),x89012),f298(x89011,x89013)))+~P1(f318(f318(f320(f926(x89011,x89011)),x89012),f318(f318(f174(f926(x89011,x89011),a918),x89014),x89013)))
% 202.84/202.78 [8988]~P1(f318(f55(x89881),f318(f318(f3(f927(x89881,a918)),x89882),f318(f318(f300(x89881),x89884),x89883))))+P1(f318(f55(x89881),f318(f318(f3(f927(x89881,a918)),x89882),x89883)))
% 202.84/202.78 [9203]~P104(x92031)+P1(f318(f318(f225(x92031),f318(f318(f101(x92031),x92032),f318(f318(f92(x92031),x92033),x92034))),f318(f318(f92(x92031),f318(f318(f101(x92031),x92032),x92033)),f318(f318(f101(x92031),x92032),x92034))))
% 202.84/202.78 [9204]~P4(x92041)+P1(f318(f318(f225(x92041),f318(f318(f224(x92041),x92042),f318(f318(f223(x92041),x92043),x92044))),f318(f318(f223(x92041),f318(f318(f224(x92041),x92042),x92043)),f318(f318(f224(x92041),x92042),x92044))))
% 202.84/202.78 [9353]E(x93531,x93532)+~P1(f318(f318(f320(f926(x93533,x93533)),f318(f318(f243(x93533,x93533),x93531),x93532)),f318(f163(f926(x93533,x93533)),f318(f318(f172(x93533,x93533),x93534),x93534))))
% 202.84/202.78 [9384]~P1(f318(f318(f320(f926(x93841,x93841)),f318(f318(f243(x93841,x93841),x93843),x93842)),f298(x93841,x93844)))+~P39(x93841,f318(f318(f300(f926(x93841,x93841)),f318(f318(f243(x93841,x93841),x93842),x93843)),x93844))
% 202.84/202.78 [9385]~P1(f318(f318(f320(f926(x93851,x93851)),f318(f318(f243(x93851,x93851),x93853),x93852)),f298(x93851,x93854)))+~P61(x93851,f318(f318(f300(f926(x93851,x93851)),f318(f318(f243(x93851,x93851),x93852),x93853)),x93854))
% 202.84/202.78 [9389]E(x93891,x93892)+E(f318(f127(x93893,f318(f318(f10(a918,a918,x93893),a313),f318(a315,x93891))),f318(f318(f142(x93893),x93892),x93894)),f318(f318(f142(x93893),x93892),f318(f127(x93893,f318(f318(f10(a918,a918,x93893),a313),f318(a315,x93891))),x93894)))
% 202.84/202.78 [9420]~P26(x94202,x94201,x94203,f233(f927(x94202,a918)),f233(f927(x94201,a918)))+E(f318(f301(x94201,x94202,f84(x94202,x94201,f233(f927(x94202,a918)),x94203)),x94204),f318(f302(x94202,x94201,x94203),x94204))
% 202.84/202.78 [9435]~P104(x94351)+P1(f318(f318(f225(x94351),f318(f318(f101(x94351),f318(f318(f92(x94351),x94352),x94353)),f318(f318(f92(x94351),x94352),x94354))),f318(f318(f92(x94351),x94352),f318(f318(f101(x94351),x94353),x94354))))
% 202.84/202.78 [9436]~P4(x94361)+P1(f318(f318(f225(x94361),f318(f318(f224(x94361),f318(f318(f223(x94361),x94362),x94363)),f318(f318(f223(x94361),x94362),x94364))),f318(f318(f223(x94361),x94362),f318(f318(f224(x94361),x94363),x94364))))
% 202.84/202.78 [9499]~P26(x94992,x94991,x94994,f233(f927(x94992,a918)),f233(f927(x94991,a918)))+E(f318(f253(x94991),f318(f318(f10(x94992,a918,x94991),x94993),f84(x94992,x94991,f233(f927(x94992,a918)),x94994))),f318(f301(x94992,x94991,x94994),f318(f253(x94992),x94993)))
% 202.84/202.78 [9513]~E(f318(f301(x95132,x95131,x95133),f233(f927(x95132,a918))),f233(f927(x95131,a918)))+P1(f318(f318(f225(f927(x95131,a918)),f318(f72(f927(x95131,a918)),f318(f301(x95132,x95131,x95133),x95134))),f318(f301(x95132,x95131,x95133),f318(f72(f927(x95132,a918)),x95134))))
% 202.84/202.78 [9842]P1(f318(f318(f320(f926(x98421,x98421)),f318(f318(f243(x98421,x98421),x98422),x98423)),f318(f277(x98421,x98421),f318(f318(f280(x98421,x98421,x98421),x98424),f298(x98421,x98424)))))+~P1(f318(f318(f320(f926(x98421,x98421)),f318(f318(f243(x98421,x98421),x98422),x98423)),f318(f318(f280(x98421,x98421,x98421),f318(f277(x98421,x98421),x98424)),f298(x98421,f318(f277(x98421,x98421),x98424)))))
% 202.84/202.78 [9843]~P1(f318(f318(f320(f926(x98431,x98431)),f318(f318(f243(x98431,x98431),x98432),x98433)),f318(f277(x98431,x98431),f318(f318(f280(x98431,x98431,x98431),x98434),f298(x98431,x98434)))))+P1(f318(f318(f320(f926(x98431,x98431)),f318(f318(f243(x98431,x98431),x98432),x98433)),f318(f318(f280(x98431,x98431,x98431),f318(f277(x98431,x98431),x98434)),f298(x98431,f318(f277(x98431,x98431),x98434)))))
% 202.84/202.78 [9864]~P1(f318(f318(f320(x98642),x98644),f318(f275(x98641,x98642),x98643)))+P1(f318(f318(f320(f926(x98641,x98642)),f318(f318(f243(x98641,x98642),f570(x98643,x98641,x98644,x98642)),x98644)),x98643))
% 202.84/202.78 [9865]~P1(f318(f318(f320(x98652),x98654),f318(f275(x98651,x98652),x98653)))+P1(f318(f318(f320(f926(x98651,x98652)),f318(f318(f243(x98651,x98652),f573(x98653,x98651,x98654,x98652)),x98654)),x98653))
% 202.84/202.78 [9891]~P1(f318(f318(f320(x98911),x98914),f318(f318(f92(f927(x98911,a918)),x98912),x98913)))+P1(f318(f318(f318(f92(f927(x98911,a918)),f318(f318(f9(x98911,f927(x98911,a918),a918),f320(x98911)),x98912)),f318(f318(f9(x98911,f927(x98911,a918),a918),f320(x98911)),x98913)),x98914))
% 202.84/202.78 [9892]~P1(f318(f318(f320(x98921),x98924),f318(f318(f101(f927(x98921,a918)),x98922),x98923)))+P1(f318(f318(f318(f101(f927(x98921,a918)),f318(f318(f9(x98921,f927(x98921,a918),a918),f320(x98921)),x98922)),f318(f318(f9(x98921,f927(x98921,a918),a918),f320(x98921)),x98923)),x98924))
% 202.84/202.78 [9974]~P1(f318(f318(f320(f926(x99741,x99741)),f318(f318(f243(x99741,x99741),x99744),x99743)),f318(f318(f280(x99741,x99741,x99741),x99742),f298(x99741,x99742))))+P1(f318(f318(f320(f926(x99741,x99741)),f318(f318(f243(x99741,x99741),f644(x99742,x99743,x99744,x99741)),x99743)),x99742))
% 202.84/202.78 [10013]P1(f318(f318(f320(x100131),x100132),f318(f318(f92(f927(x100131,a918)),x100133),x100134)))+~P1(f318(f318(f318(f92(f927(x100131,a918)),f318(f318(f9(x100131,f927(x100131,a918),a918),f320(x100131)),x100133)),f318(f318(f9(x100131,f927(x100131,a918),a918),f320(x100131)),x100134)),x100132))
% 202.84/202.78 [10014]P1(f318(f318(f320(x100141),x100142),f318(f318(f101(f927(x100141,a918)),x100143),x100144)))+~P1(f318(f318(f318(f101(f927(x100141,a918)),f318(f318(f9(x100141,f927(x100141,a918),a918),f320(x100141)),x100143)),f318(f318(f9(x100141,f927(x100141,a918),a918),f320(x100141)),x100144)),x100142))
% 202.84/202.78 [10296]P34(x102961,f318(f318(f9(x102961,f927(f926(x102961,x102961),a918),f927(x102961,a918)),f318(f318(f10(f927(x102961,f927(f927(f926(x102961,x102961),a918),a918)),f927(f927(f926(x102961,x102961),a918),f927(x102961,a918)),x102961),f9(x102961,f927(f926(x102961,x102961),a918),a918)),f318(f318(f10(f927(x102961,f926(x102961,x102961)),f927(x102961,f927(f927(f926(x102961,x102961),a918),a918)),x102961),f318(f10(f926(x102961,x102961),f927(f927(f926(x102961,x102961),a918),a918),x102961),f320(f926(x102961,x102961)))),f243(x102961,x102961)))),x102962),x102963,x102964)+~P1(f318(f318(f320(f926(f921(x102961),f921(x102961))),f318(f318(f243(f921(x102961),f921(x102961)),x102963),x102964)),f149(x102961,x102962)))
% 202.84/202.78 [10300]P62(x103001,f318(f318(f9(x103001,f927(f926(x103001,x103001),a918),f927(x103001,a918)),f318(f318(f10(f927(x103001,f927(f927(f926(x103001,x103001),a918),a918)),f927(f927(f926(x103001,x103001),a918),f927(x103001,a918)),x103001),f9(x103001,f927(f926(x103001,x103001),a918),a918)),f318(f318(f10(f927(x103001,f926(x103001,x103001)),f927(x103001,f927(f927(f926(x103001,x103001),a918),a918)),x103001),f318(f10(f926(x103001,x103001),f927(f927(f926(x103001,x103001),a918),a918),x103001),f320(f926(x103001,x103001)))),f243(x103001,x103001)))),x103002),x103003,x103004)+~P1(f318(f318(f320(f926(f927(x103001,a918),f927(x103001,a918))),f318(f318(f243(f927(x103001,a918),f927(x103001,a918)),x103003),x103004)),f310(x103001,x103002)))
% 202.84/202.78 [10334]E(x103341,x103342)+~E(f318(f318(f9(x103343,f927(f926(x103343,x103344),a918),f927(x103344,a918)),f318(f318(f10(f927(x103344,f927(f927(f926(x103343,x103344),a918),a918)),f927(f927(f926(x103343,x103344),a918),f927(x103344,a918)),x103343),f9(x103344,f927(f926(x103343,x103344),a918),a918)),f318(f318(f10(f927(x103344,f926(x103343,x103344)),f927(x103344,f927(f927(f926(x103343,x103344),a918),a918)),x103343),f318(f10(f926(x103343,x103344),f927(f927(f926(x103343,x103344),a918),a918),x103344),f320(f926(x103343,x103344)))),f243(x103343,x103344)))),x103341),f318(f318(f9(x103343,f927(f926(x103343,x103344),a918),f927(x103344,a918)),f318(f318(f10(f927(x103344,f927(f927(f926(x103343,x103344),a918),a918)),f927(f927(f926(x103343,x103344),a918),f927(x103344,a918)),x103343),f9(x103344,f927(f926(x103343,x103344),a918),a918)),f318(f318(f10(f927(x103344,f926(x103343,x103344)),f927(x103344,f927(f927(f926(x103343,x103344),a918),a918)),x103343),f318(f10(f926(x103343,x103344),f927(f927(f926(x103343,x103344),a918),a918),x103344),f320(f926(x103343,x103344)))),f243(x103343,x103344)))),x103342))
% 202.84/202.78 [10337]~P34(x103371,f318(f318(f9(x103371,f927(f926(x103371,x103371),a918),f927(x103371,a918)),f318(f318(f10(f927(x103371,f927(f927(f926(x103371,x103371),a918),a918)),f927(f927(f926(x103371,x103371),a918),f927(x103371,a918)),x103371),f9(x103371,f927(f926(x103371,x103371),a918),a918)),f318(f318(f10(f927(x103371,f926(x103371,x103371)),f927(x103371,f927(f927(f926(x103371,x103371),a918),a918)),x103371),f318(f10(f926(x103371,x103371),f927(f927(f926(x103371,x103371),a918),a918),x103371),f320(f926(x103371,x103371)))),f243(x103371,x103371)))),x103374),x103372,x103373)+P1(f318(f318(f320(f926(f921(x103371),f921(x103371))),f318(f318(f243(f921(x103371),f921(x103371)),x103372),x103373)),f149(x103371,x103374)))
% 202.84/202.78 [10338]~P62(x103381,f318(f318(f9(x103381,f927(f926(x103381,x103381),a918),f927(x103381,a918)),f318(f318(f10(f927(x103381,f927(f927(f926(x103381,x103381),a918),a918)),f927(f927(f926(x103381,x103381),a918),f927(x103381,a918)),x103381),f9(x103381,f927(f926(x103381,x103381),a918),a918)),f318(f318(f10(f927(x103381,f926(x103381,x103381)),f927(x103381,f927(f927(f926(x103381,x103381),a918),a918)),x103381),f318(f10(f926(x103381,x103381),f927(f927(f926(x103381,x103381),a918),a918),x103381),f320(f926(x103381,x103381)))),f243(x103381,x103381)))),x103384),x103382,x103383)+P1(f318(f318(f320(f926(f927(x103381,a918),f927(x103381,a918))),f318(f318(f243(f927(x103381,a918),f927(x103381,a918)),x103382),x103383)),f310(x103381,x103384)))
% 202.84/202.78 [7682]~P100(x76821)+E(f318(f318(f74(x76821),f318(f94(x76821),x76822)),f318(f318(f74(x76821),f318(f94(x76821),x76823)),x76824)),f318(f318(f74(x76821),f318(f94(x76821),f318(f318(f74(a1),x76822),x76823))),x76824))
% 202.84/202.78 [7683]~P100(x76831)+E(f318(f318(f73(x76831),f318(f94(x76831),x76832)),f318(f318(f3(x76831),f318(f94(x76831),x76833)),x76834)),f318(f318(f3(x76831),f318(f94(x76831),f318(f318(f73(a1),x76832),x76833))),x76834))
% 202.84/202.78 [7684]~P100(x76841)+E(f318(f318(f73(x76841),f318(f94(x76841),x76842)),f318(f318(f73(x76841),f318(f94(x76841),x76843)),x76844)),f318(f318(f73(x76841),f318(f94(x76841),f318(f318(f73(a1),x76842),x76843))),x76844))
% 202.84/202.78 [7725]~P115(x77251)+E(f318(f156(x77251),f318(f318(f145(x77252,x77251),f318(f18(x77251,x77252),x77253)),x77254)),f318(f318(f74(x77251),f318(f91(x77251),f318(f180(f921(x77252)),x77254))),x77253))
% 202.84/202.78 [7964]E(f318(f259(x79641,f318(f318(f142(f926(a90,x79641)),x79642),x79643)),x79644),f318(f247(a90,x79641),x79642))+~P1(f318(f318(f226(a90),x79644),f318(f242(a90,x79641),x79642)))
% 202.84/202.78 [8005]~P100(x80051)+E(f318(f318(f73(x80051),f318(f94(x80051),x80052)),f318(f318(f3(x80051),x80053),f318(f94(x80051),x80054))),f318(f318(f73(x80051),f318(f94(x80051),f318(f318(f73(a1),x80052),f318(f72(a1),x80054)))),x80053))
% 202.84/202.78 [8141]E(f318(f259(x81411,x81412),f318(f318(f3(a90),x81413),f318(f242(a90,x81411),x81414))),f318(f259(x81411,f318(f318(f142(f926(a90,x81411)),x81414),x81412)),x81413))+P1(f318(f318(f226(a90),x81413),f318(f242(a90,x81411),x81414)))
% 202.84/202.78 [8581]~P1(f318(f318(f320(x85811),x85812),f318(f163(x85811),f105(x85811,x85814))))+P1(f318(f318(f320(x85811),x85812),f318(f163(x85811),f105(x85811,f318(f318(f125(x85811),x85813),x85814)))))
% 202.84/202.78 [8582]~P1(f318(f318(f320(x85821),x85822),f318(f163(x85821),f105(x85821,x85823))))+P1(f318(f318(f320(x85821),x85822),f318(f163(x85821),f105(x85821,f318(f318(f125(x85821),x85823),x85824)))))
% 202.84/202.78 [8601]E(f318(f318(f101(f927(x86011,a918)),f318(f318(f92(f927(x86011,a918)),x86012),x86013)),x86014),f318(f318(f92(f927(x86011,a918)),x86012),f318(f318(f101(f927(x86011,a918)),x86013),x86014)))+~P1(f318(f318(f225(f927(x86011,a918)),x86014),x86012))
% 202.84/202.78 [8915]~E(f318(f318(f101(f927(x89151,a918)),f318(f318(f92(f927(x89151,a918)),x89153),x89154)),x89152),f318(f318(f92(f927(x89151,a918)),x89153),f318(f318(f101(f927(x89151,a918)),x89154),x89152)))+P1(f318(f318(f225(f927(x89151,a918)),x89152),x89153))
% 202.84/202.78 [9208]~P1(f318(f318(f225(f927(x92081,a918)),x92082),f318(f318(f101(f927(x92081,a918)),x92083),x92084)))+P1(f318(f318(f225(f927(x92081,a918)),f318(f318(f3(f927(x92081,a918)),x92082),x92083)),x92084))
% 202.84/202.78 [9324]~E(f318(f301(x93241,x93242,x93243),f233(f927(x93241,a918))),f233(f927(x93242,a918)))+E(f318(f301(x93241,x93242,x93243),f318(f301(x93242,x93241,f84(x93241,x93242,f233(f927(x93241,a918)),x93243)),x93244)),x93244)
% 202.84/202.78 [9329]P1(f318(f318(f225(f927(x93291,a918)),x93292),f318(f318(f101(f927(x93291,a918)),x93293),x93294)))+~P1(f318(f318(f225(f927(x93291,a918)),f318(f318(f3(f927(x93291,a918)),x93292),x93293)),x93294))
% 202.84/202.78 [9416]~P93(x94161)+E(f318(f69(x94161),f318(f318(f8(x94162,x94161),f318(f318(f10(x94161,x94161,x94162),f69(x94161)),x94163)),x94164)),f318(f318(f8(x94162,x94161),f318(f318(f10(x94161,x94161,x94162),f69(x94161)),x94163)),x94164))
% 202.84/202.78 [9590]~P93(x95901)+P1(f318(f318(f225(x95901),f2(x95901)),f318(f318(f8(x95902,x95901),f318(f318(f10(x95901,x95901,x95902),f69(x95901)),x95903)),x95904)))
% 202.84/202.78 [9594]~P69(x95941)+E(f318(f156(x95941),f318(f318(f145(x95942,x95941),f318(f66(x95941,x95941,x95942,f72(x95941)),x95943)),x95944)),f318(f72(x95941),f318(f156(x95941),f318(f318(f145(x95942,x95941),x95943),x95944))))
% 202.84/202.78 [9737]~P93(x97371)+P1(f318(f318(f225(x97371),f318(f69(x97371),f318(f318(f8(x97372,x97371),x97373),x97374))),f318(f318(f8(x97372,x97371),f318(f318(f10(x97371,x97371,x97372),f69(x97371)),x97373)),x97374)))
% 202.84/202.78 [9766]~E(f318(f318(f73(a920),x97661),x97664),f318(f318(f73(a920),x97663),x97662))+P1(f318(f318(f320(f926(f926(a920,a920),f926(a920,a920))),f318(f318(f243(f926(a920,a920),f926(a920,a920)),f318(f318(f243(a920,a920),x97661),x97662)),f318(f318(f243(a920,a920),x97663),x97664))),a99))
% 202.84/202.78 [9767]~P1(f318(f318(f226(a920),x97671),x97673))+P1(f318(f318(f320(f926(f926(a920,a920),f926(a920,a920))),f318(f318(f243(f926(a920,a920),f926(a920,a920)),f318(f318(f243(a920,a920),x97671),x97672)),f318(f318(f243(a920,a920),x97673),x97674))),a26))
% 202.84/202.78 [9768]~P1(f318(f318(f226(a920),x97681),x97683))+P1(f318(f318(f320(f926(f926(a920,a920),f926(a920,a920))),f318(f318(f243(f926(a920,a920),f926(a920,a920)),f318(f318(f243(a920,a920),x97681),x97682)),f318(f318(f243(a920,a920),x97683),x97684))),a64))
% 202.84/202.78 [9917]E(f318(f318(f73(a920),x99171),x99172),f318(f318(f73(a920),x99173),x99174))+~P1(f318(f318(f320(f926(f926(a920,a920),f926(a920,a920))),f318(f318(f243(f926(a920,a920),f926(a920,a920)),f318(f318(f243(a920,a920),x99171),x99174)),f318(f318(f243(a920,a920),x99173),x99172))),a99))
% 202.84/202.78 [9948]E(f318(f318(f155(x99481),f318(f318(f129(x99481),f318(f180(f921(x99481)),f168(x99481,x99482,x99483))),x99483)),x99484),f318(f318(f155(x99481),x99483),f318(f318(f73(a920),x99484),f318(f180(f921(x99481)),f168(x99481,x99482,x99483)))))+~P1(f318(f318(f226(a920),x99484),f318(f180(f921(x99481)),f318(f318(f129(x99481),f318(f180(f921(x99481)),f168(x99481,x99482,x99483))),x99483))))
% 202.84/202.78 [9965]~P1(f318(f318(f320(x99652),x99654),f318(f318(f33(x99651,f927(x99652,a918)),f233(f927(x99651,a918))),x99653)))+P1(f318(f318(f318(f33(x99651,f927(x99652,a918)),f233(f927(x99651,a918))),f318(f318(f10(f927(x99652,a918),f927(x99652,a918),x99651),f318(f9(x99652,f927(x99652,a918),a918),f320(x99652))),x99653)),x99654))
% 202.84/202.78 [9966]~P1(f318(f318(f320(x99662),x99664),f318(f318(f34(x99661,f927(x99662,a918)),f233(f927(x99661,a918))),x99663)))+P1(f318(f318(f318(f34(x99661,f927(x99662,a918)),f233(f927(x99661,a918))),f318(f318(f10(f927(x99662,a918),f927(x99662,a918),x99661),f318(f9(x99662,f927(x99662,a918),a918),f320(x99662))),x99663)),x99664))
% 202.84/202.78 [10039]~P1(f318(f43(x100391,x100392),f318(f318(f243(a1,a1),x100394),x100393)))+P1(f318(f43(f318(f72(a1),x100391),x100392),f318(f318(f243(a1,a1),f318(f318(f318(f85(a1),f318(f318(a315,x100393),f2(a1))),f318(f72(a1),x100394)),f318(f318(f3(a1),f318(f72(a1),x100394)),f71(a1)))),f318(f318(f318(f85(a1),f318(f318(a315,x100393),f2(a1))),f2(a1)),f318(f318(f3(a1),x100392),x100393)))))
% 202.84/202.78 [10051]P1(f318(f318(f320(x100511),x100512),f318(f318(f33(x100513,f927(x100511,a918)),f233(f927(x100513,a918))),x100514)))+~P1(f318(f318(f318(f33(x100513,f927(x100511,a918)),f233(f927(x100513,a918))),f318(f318(f10(f927(x100511,a918),f927(x100511,a918),x100513),f318(f9(x100511,f927(x100511,a918),a918),f320(x100511))),x100514)),x100512))
% 202.84/202.78 [10052]P1(f318(f318(f320(x100521),x100522),f318(f318(f34(x100523,f927(x100521,a918)),f233(f927(x100523,a918))),x100524)))+~P1(f318(f318(f318(f34(x100523,f927(x100521,a918)),f233(f927(x100523,a918))),f318(f318(f10(f927(x100521,a918),f927(x100521,a918),x100523),f318(f9(x100521,f927(x100521,a918),a918),f320(x100521))),x100524)),x100522))
% 202.84/202.78 [10064]E(f318(f318(f33(a920,f927(x100641,a918)),f233(f927(a920,a918))),x100642),f318(f318(f33(a920,f927(x100641,a918)),f233(f927(a920,a918))),x100643))+~E(f318(f318(f33(a920,f927(x100641,a918)),f318(f293(a920,f2(a920)),f517(x100642,x100644,x100643,x100641))),x100643),f318(f318(f33(a920,f927(x100641,a918)),f318(f293(a920,f2(a920)),f318(f318(f73(a920),f517(x100642,x100644,x100643,x100641)),x100644))),x100642))
% 202.84/202.78 [10412]~P1(f318(f318(f225(f927(f926(x104121,x104122),a918)),x104123),x104124))+P1(f318(f318(f225(f927(x104121,f927(x104122,a918))),f318(f318(f9(x104121,f927(f926(x104121,x104122),a918),f927(x104122,a918)),f318(f318(f10(f927(x104122,f927(f927(f926(x104121,x104122),a918),a918)),f927(f927(f926(x104121,x104122),a918),f927(x104122,a918)),x104121),f9(x104122,f927(f926(x104121,x104122),a918),a918)),f318(f318(f10(f927(x104122,f926(x104121,x104122)),f927(x104122,f927(f927(f926(x104121,x104122),a918),a918)),x104121),f318(f10(f926(x104121,x104122),f927(f927(f926(x104121,x104122),a918),a918),x104122),f320(f926(x104121,x104122)))),f243(x104121,x104122)))),x104123)),f318(f318(f9(x104121,f927(f926(x104121,x104122),a918),f927(x104122,a918)),f318(f318(f10(f927(x104122,f927(f927(f926(x104121,x104122),a918),a918)),f927(f927(f926(x104121,x104122),a918),f927(x104122,a918)),x104121),f9(x104122,f927(f926(x104121,x104122),a918),a918)),f318(f318(f10(f927(x104122,f926(x104121,x104122)),f927(x104122,f927(f927(f926(x104121,x104122),a918),a918)),x104121),f318(f10(f926(x104121,x104122),f927(f927(f926(x104121,x104122),a918),a918),x104122),f320(f926(x104121,x104122)))),f243(x104121,x104122)))),x104124)))
% 202.84/202.78 [10428]P1(f318(f318(f225(f927(f926(x104281,x104282),a918)),x104283),x104284))+~P1(f318(f318(f225(f927(x104281,f927(x104282,a918))),f318(f318(f9(x104281,f927(f926(x104281,x104282),a918),f927(x104282,a918)),f318(f318(f10(f927(x104282,f927(f927(f926(x104281,x104282),a918),a918)),f927(f927(f926(x104281,x104282),a918),f927(x104282,a918)),x104281),f9(x104282,f927(f926(x104281,x104282),a918),a918)),f318(f318(f10(f927(x104282,f926(x104281,x104282)),f927(x104282,f927(f927(f926(x104281,x104282),a918),a918)),x104281),f318(f10(f926(x104281,x104282),f927(f927(f926(x104281,x104282),a918),a918),x104282),f320(f926(x104281,x104282)))),f243(x104281,x104282)))),x104283)),f318(f318(f9(x104281,f927(f926(x104281,x104282),a918),f927(x104282,a918)),f318(f318(f10(f927(x104282,f927(f927(f926(x104281,x104282),a918),a918)),f927(f927(f926(x104281,x104282),a918),f927(x104282,a918)),x104281),f9(x104282,f927(f926(x104281,x104282),a918),a918)),f318(f318(f10(f927(x104282,f926(x104281,x104282)),f927(x104282,f927(f927(f926(x104281,x104282),a918),a918)),x104281),f318(f10(f926(x104281,x104282),f927(f927(f926(x104281,x104282),a918),a918),x104282),f320(f926(x104281,x104282)))),f243(x104281,x104282)))),x104284)))
% 202.84/202.78 [9463]~P1(f318(f318(f320(f926(x94631,x94631)),x94632),f298(x94631,x94634)))+P1(f318(f318(f320(f926(x94631,x94631)),x94632),f298(x94631,f318(f318(f101(f927(f926(x94631,x94631),a918)),x94633),x94634))))
% 202.84/202.78 [9464]~P1(f318(f318(f320(f926(x94641,x94641)),x94642),f298(x94641,x94643)))+P1(f318(f318(f320(f926(x94641,x94641)),x94642),f298(x94641,f318(f318(f101(f927(f926(x94641,x94641),a918)),x94643),x94644))))
% 202.84/202.78 [10150]~P1(f318(f318(f225(a920),f318(f318(f73(a920),x101501),x101504)),f318(f318(f73(a920),x101503),x101502)))+P1(f318(f318(f225(a1),f318(a82,f318(f276(f926(a920,a920),f926(a920,a920),a99),f318(f318(f300(f926(a920,a920)),f318(f318(f243(a920,a920),x101501),x101502)),f179(f927(f926(a920,a920),a918)))))),f318(a82,f318(f276(f926(a920,a920),f926(a920,a920),a99),f318(f318(f300(f926(a920,a920)),f318(f318(f243(a920,a920),x101503),x101504)),f179(f927(f926(a920,a920),a918)))))))
% 202.84/202.78 [10151]~P1(f318(f318(f226(a920),f318(f318(f73(a920),x101511),x101514)),f318(f318(f73(a920),x101513),x101512)))+P1(f318(f318(f226(a1),f318(a82,f318(f276(f926(a920,a920),f926(a920,a920),a99),f318(f318(f300(f926(a920,a920)),f318(f318(f243(a920,a920),x101511),x101512)),f179(f927(f926(a920,a920),a918)))))),f318(a82,f318(f276(f926(a920,a920),f926(a920,a920),a99),f318(f318(f300(f926(a920,a920)),f318(f318(f243(a920,a920),x101513),x101514)),f179(f927(f926(a920,a920),a918)))))))
% 202.84/202.78 [10238]P1(f318(f318(f225(a920),f318(f318(f73(a920),x102381),x102382)),f318(f318(f73(a920),x102383),x102384)))+~P1(f318(f318(f225(a1),f318(a82,f318(f276(f926(a920,a920),f926(a920,a920),a99),f318(f318(f300(f926(a920,a920)),f318(f318(f243(a920,a920),x102381),x102384)),f179(f927(f926(a920,a920),a918)))))),f318(a82,f318(f276(f926(a920,a920),f926(a920,a920),a99),f318(f318(f300(f926(a920,a920)),f318(f318(f243(a920,a920),x102383),x102382)),f179(f927(f926(a920,a920),a918)))))))
% 202.84/202.78 [10239]P1(f318(f318(f226(a920),f318(f318(f73(a920),x102391),x102392)),f318(f318(f73(a920),x102393),x102394)))+~P1(f318(f318(f226(a1),f318(a82,f318(f276(f926(a920,a920),f926(a920,a920),a99),f318(f318(f300(f926(a920,a920)),f318(f318(f243(a920,a920),x102391),x102394)),f179(f927(f926(a920,a920),a918)))))),f318(a82,f318(f276(f926(a920,a920),f926(a920,a920),a99),f318(f318(f300(f926(a920,a920)),f318(f318(f243(a920,a920),x102393),x102392)),f179(f927(f926(a920,a920),a918)))))))
% 202.84/202.78 [10282]P1(f318(f318(f225(f927(x102821,a918)),f318(f318(f33(a920,f927(x102821,a918)),f233(f927(a920,a918))),x102822)),f318(f318(f33(a920,f927(x102821,a918)),f233(f927(a920,a918))),x102823)))+~P1(f318(f318(f225(f927(x102821,a918)),f318(f318(f33(a920,f927(x102821,a918)),f318(f293(a920,f2(a920)),f509(x102823,x102824,x102822,x102821))),x102822)),f318(f318(f33(a920,f927(x102821,a918)),f318(f293(a920,f2(a920)),f318(f318(f73(a920),f509(x102823,x102824,x102822,x102821)),x102824))),x102823)))
% 202.84/202.78 [10341]P1(f318(f318(f225(a90),x103414),f2(a90)))+E(f318(f318(f250(f926(a90,a90),f926(x103411,f927(a923,a314)),f926(a90,a90),f926(f927(a90,f927(a918,f924(f922(x103411)))),f926(a90,a90))),f318(x103412,x103413)),f318(f318(f10(f927(f927(a90,f927(a918,f924(f922(x103411)))),f927(f926(a90,a90),f926(f927(a90,f927(a918,f924(f922(x103411)))),f926(a90,a90)))),f927(f926(a90,a90),f926(f927(a90,f927(a918,f924(f922(x103411)))),f926(a90,a90))),f926(x103411,f927(a923,a314))),f318(f250(f926(a90,a90),f927(a90,f927(a918,f924(f922(x103411)))),f926(a90,a90),f926(f927(a90,f927(a918,f924(f922(x103411)))),f926(a90,a90))),f268(x103411,x103412,f318(f318(f3(a90),x103414),f71(a90)),x103413))),f318(f318(f10(f927(f927(a90,f927(a918,f924(f922(x103411)))),f927(a90,f927(a918,f924(f922(x103411))))),f927(f927(a90,f927(a918,f924(f922(x103411)))),f927(f926(a90,a90),f926(f927(a90,f927(a918,f924(f922(x103411)))),f926(a90,a90)))),f926(x103411,f927(a923,a314))),f318(f10(f927(a90,f927(a918,f924(f922(x103411)))),f927(f926(a90,a90),f926(f927(a90,f927(a918,f924(f922(x103411)))),f926(a90,a90))),f927(a90,f927(a918,f924(f922(x103411))))),f243(f927(a90,f927(a918,f924(f922(x103411)))),f926(a90,a90)))),f318(f318(f10(f927(a90,f927(a918,f924(f922(x103411)))),f927(f927(a90,f927(a918,f924(f922(x103411)))),f927(a90,f927(a918,f924(f922(x103411))))),f926(x103411,f927(a923,a314))),f38(x103411)),f318(f318(f10(x103411,f927(a90,f927(a918,f924(f922(x103411)))),f926(x103411,f927(a923,a314))),f36(x103411)),f242(x103411,f927(a923,a314))))))),f268(x103411,x103412,x103414,x103413))
% 202.84/202.78 [10402]~P1(f318(f318(f320(x104022),x104024),f318(f275(x104021,x104022),x104023)))+P1(f318(f241(x104021,x104022,f318(f318(f9(x104021,f927(f926(x104021,x104022),a918),f927(x104022,a918)),f318(f318(f10(f927(x104022,f927(f927(f926(x104021,x104022),a918),a918)),f927(f927(f926(x104021,x104022),a918),f927(x104022,a918)),x104021),f9(x104022,f927(f926(x104021,x104022),a918),a918)),f318(f318(f10(f927(x104022,f926(x104021,x104022)),f927(x104022,f927(f927(f926(x104021,x104022),a918),a918)),x104021),f318(f10(f926(x104021,x104022),f927(f927(f926(x104021,x104022),a918),a918),x104022),f320(f926(x104021,x104022)))),f243(x104021,x104022)))),x104023)),x104024))
% 202.84/202.78 [10403]~P1(f318(f318(f320(x104031),x104034),f318(f255(x104031,x104032),x104033)))+P1(f318(f240(x104031,x104032,f318(f318(f9(x104031,f927(f926(x104031,x104032),a918),f927(x104032,a918)),f318(f318(f10(f927(x104032,f927(f927(f926(x104031,x104032),a918),a918)),f927(f927(f926(x104031,x104032),a918),f927(x104032,a918)),x104031),f9(x104032,f927(f926(x104031,x104032),a918),a918)),f318(f318(f10(f927(x104032,f926(x104031,x104032)),f927(x104032,f927(f927(f926(x104031,x104032),a918),a918)),x104031),f318(f10(f926(x104031,x104032),f927(f927(f926(x104031,x104032),a918),a918),x104032),f320(f926(x104031,x104032)))),f243(x104031,x104032)))),x104033)),x104034))
% 202.84/202.78 [10415]P1(f318(f318(f320(x104151),x104152),f318(f275(x104153,x104151),x104154)))+~P1(f318(f241(x104153,x104151,f318(f318(f9(x104153,f927(f926(x104153,x104151),a918),f927(x104151,a918)),f318(f318(f10(f927(x104151,f927(f927(f926(x104153,x104151),a918),a918)),f927(f927(f926(x104153,x104151),a918),f927(x104151,a918)),x104153),f9(x104151,f927(f926(x104153,x104151),a918),a918)),f318(f318(f10(f927(x104151,f926(x104153,x104151)),f927(x104151,f927(f927(f926(x104153,x104151),a918),a918)),x104153),f318(f10(f926(x104153,x104151),f927(f927(f926(x104153,x104151),a918),a918),x104151),f320(f926(x104153,x104151)))),f243(x104153,x104151)))),x104154)),x104152))
% 202.84/202.78 [10416]P1(f318(f318(f320(x104161),x104162),f318(f255(x104161,x104163),x104164)))+~P1(f318(f240(x104161,x104163,f318(f318(f9(x104161,f927(f926(x104161,x104163),a918),f927(x104163,a918)),f318(f318(f10(f927(x104163,f927(f927(f926(x104161,x104163),a918),a918)),f927(f927(f926(x104161,x104163),a918),f927(x104163,a918)),x104161),f9(x104163,f927(f926(x104161,x104163),a918),a918)),f318(f318(f10(f927(x104163,f926(x104161,x104163)),f927(x104163,f927(f927(f926(x104161,x104163),a918),a918)),x104161),f318(f10(f926(x104161,x104163),f927(f927(f926(x104161,x104163),a918),a918),x104163),f320(f926(x104161,x104163)))),f243(x104161,x104163)))),x104164)),x104162))
% 202.84/202.78 [10075]P1(f318(f151(x100751,x100752),x100753))+~P1(f318(f151(x100751,f318(f318(f20(x100751,a918,a918),f318(f318(f10(a918,f927(a918,a918),x100751),a316),x100754)),x100752)),x100753))
% 202.84/202.78 [10076]P1(f318(f151(x100761,x100762),x100763))+~P1(f318(f151(x100761,f318(f318(f20(x100761,a918,a918),f318(f318(f10(a918,f927(a918,a918),x100761),a316),x100762)),x100764)),x100763))
% 202.84/202.78 [10162]~P118(x101621)+E(f318(f318(f74(x101621),f318(f318(f73(x101621),f71(x101621)),f71(x101621))),f318(f318(f8(a920,x101621),f318(f318(f10(x101621,x101621,a920),f318(f73(x101621),x101622)),f318(f318(f9(a920,x101621,x101621),f318(f318(f10(x101621,f927(x101621,x101621),a920),f74(x101621)),f91(x101621))),x101623))),f318(f273(a920),x101624))),f318(f318(f74(x101621),f318(f91(x101621),x101624)),f318(f318(f73(x101621),x101622),f318(f318(f73(x101621),x101622),f318(f318(f74(x101621),f318(f91(x101621),f318(f318(f3(a920),x101624),f71(a920)))),x101623)))))
% 202.84/202.78 [10303]P1(f318(x103031,f582(x103032,x103033,x103034,x103031)))+P39(x103032,f318(f253(f926(x103032,x103032)),f318(f248(x103032,x103032,a918),f318(f318(f10(f927(x103032,a918),f927(x103032,a918),x103032),f318(f20(x103032,a918,a918),f318(f318(f10(a918,f927(a918,a918),x103032),a316),x103031))),f318(f318(f9(x103032,f927(x103032,x103032),f927(x103032,a918)),f318(f318(f10(f927(x103032,a918),f927(f927(x103032,x103032),f927(x103032,a918)),x103032),f10(x103032,a918,x103032)),a315)),x103033)))))
% 202.84/202.78 [10318]~P1(f318(f318(f226(a920),f318(x103184,f318(x103183,f582(x103181,x103183,x103184,x103182)))),f318(x103184,f582(x103181,x103183,x103184,x103182))))+P39(x103181,f318(f253(f926(x103181,x103181)),f318(f248(x103181,x103181,a918),f318(f318(f10(f927(x103181,a918),f927(x103181,a918),x103181),f318(f20(x103181,a918,a918),f318(f318(f10(a918,f927(a918,a918),x103181),a316),x103182))),f318(f318(f9(x103181,f927(x103181,x103181),f927(x103181,a918)),f318(f318(f10(f927(x103181,a918),f927(f927(x103181,x103181),f927(x103181,a918)),x103181),f10(x103181,a918,x103181)),a315)),x103183)))))
% 202.84/202.78 [10388]~P5(x103881)+E(f32(x103881,f318(f253(x103881),f318(f318(f10(f927(f927(x103882,x103881),a918),a918,x103881),f80(f927(x103882,x103881))),f318(f318(f10(f927(f927(x103882,x103881),a918),f927(f927(x103882,x103881),a918),x103881),f318(f20(f927(x103882,x103881),a918,a918),f318(f318(f10(a918,f927(a918,a918),f927(x103882,x103881)),a316),f318(f318(f9(f927(x103882,x103881),f927(f927(x103882,x103881),a918),a918),f320(f927(x103882,x103881))),x103883)))),f318(f318(f9(x103881,f927(f927(x103882,x103881),x103881),f927(f927(x103882,x103881),a918)),f318(f318(f10(f927(x103881,a918),f927(f927(f927(x103882,x103881),x103881),f927(f927(x103882,x103881),a918)),x103881),f10(x103881,a918,f927(x103882,x103881))),a315)),f318(f318(f9(f927(x103882,x103881),x103882,x103881),f7(f927(x103882,x103881))),x103884)))))),f318(f32(f927(x103882,x103881),x103883),x103884))
% 202.84/202.78 [10389]~P5(x103891)+E(f32(x103891,f318(f253(x103891),f318(f318(f10(f927(f927(x103892,x103891),a918),a918,x103891),f80(f927(x103892,x103891))),f318(f318(f10(f927(f927(x103892,x103891),a918),f927(f927(x103892,x103891),a918),x103891),f318(f20(f927(x103892,x103891),a918,a918),f318(f318(f10(a918,f927(a918,a918),f927(x103892,x103891)),a316),f318(f318(f9(f927(x103892,x103891),f927(f927(x103892,x103891),a918),a918),f320(f927(x103892,x103891))),x103893)))),f318(f318(f9(x103891,f927(f927(x103892,x103891),x103891),f927(f927(x103892,x103891),a918)),f318(f318(f10(f927(x103891,a918),f927(f927(f927(x103892,x103891),x103891),f927(f927(x103892,x103891),a918)),x103891),f10(x103891,a918,f927(x103892,x103891))),a315)),f318(f318(f9(f927(x103892,x103891),x103892,x103891),f7(f927(x103892,x103891))),x103894)))))),f318(f32(f927(x103892,x103891),x103893),x103894))
% 202.84/202.78 [10390]~P5(x103901)+E(f31(x103901,f318(f253(x103901),f318(f318(f10(f927(f927(x103902,x103901),a918),a918,x103901),f80(f927(x103902,x103901))),f318(f318(f10(f927(f927(x103902,x103901),a918),f927(f927(x103902,x103901),a918),x103901),f318(f20(f927(x103902,x103901),a918,a918),f318(f318(f10(a918,f927(a918,a918),f927(x103902,x103901)),a316),f318(f318(f9(f927(x103902,x103901),f927(f927(x103902,x103901),a918),a918),f320(f927(x103902,x103901))),x103903)))),f318(f318(f9(x103901,f927(f927(x103902,x103901),x103901),f927(f927(x103902,x103901),a918)),f318(f318(f10(f927(x103901,a918),f927(f927(f927(x103902,x103901),x103901),f927(f927(x103902,x103901),a918)),x103901),f10(x103901,a918,f927(x103902,x103901))),a315)),f318(f318(f9(f927(x103902,x103901),x103902,x103901),f7(f927(x103902,x103901))),x103904)))))),f318(f31(f927(x103902,x103901),x103903),x103904))
% 202.84/202.78 [10391]~P5(x103911)+E(f31(x103911,f318(f253(x103911),f318(f318(f10(f927(f927(x103912,x103911),a918),a918,x103911),f80(f927(x103912,x103911))),f318(f318(f10(f927(f927(x103912,x103911),a918),f927(f927(x103912,x103911),a918),x103911),f318(f20(f927(x103912,x103911),a918,a918),f318(f318(f10(a918,f927(a918,a918),f927(x103912,x103911)),a316),f318(f318(f9(f927(x103912,x103911),f927(f927(x103912,x103911),a918),a918),f320(f927(x103912,x103911))),x103913)))),f318(f318(f9(x103911,f927(f927(x103912,x103911),x103911),f927(f927(x103912,x103911),a918)),f318(f318(f10(f927(x103911,a918),f927(f927(f927(x103912,x103911),x103911),f927(f927(x103912,x103911),a918)),x103911),f10(x103911,a918,f927(x103912,x103911))),a315)),f318(f318(f9(f927(x103912,x103911),x103912,x103911),f7(f927(x103912,x103911))),x103914)))))),f318(f31(f927(x103912,x103911),x103913),x103914))
% 202.84/202.78 [10443]~P1(f318(f318(f320(f926(x104431,x104431)),f318(f318(f243(x104431,x104431),x104433),x104434)),f318(f318(f101(f927(f926(x104431,x104431),a918)),x104432),f298(x104431,f179(f927(f926(x104431,x104431),a918))))))+P1(f318(f318(f318(f318(f101(f927(x104431,f927(x104431,a918))),f318(f318(f9(x104431,f927(f926(x104431,x104431),a918),f927(x104431,a918)),f318(f318(f10(f927(x104431,f927(f927(f926(x104431,x104431),a918),a918)),f927(f927(f926(x104431,x104431),a918),f927(x104431,a918)),x104431),f9(x104431,f927(f926(x104431,x104431),a918),a918)),f318(f318(f10(f927(x104431,f926(x104431,x104431)),f927(x104431,f927(f927(f926(x104431,x104431),a918),a918)),x104431),f318(f10(f926(x104431,x104431),f927(f927(f926(x104431,x104431),a918),a918),x104431),f320(f926(x104431,x104431)))),f243(x104431,x104431)))),x104432)),a315),x104433),x104434))
% 202.84/202.78 [10454]P1(f318(f318(f320(f926(x104541,x104541)),f318(f318(f243(x104541,x104541),x104542),x104543)),f318(f318(f101(f927(f926(x104541,x104541),a918)),x104544),f298(x104541,f179(f927(f926(x104541,x104541),a918))))))+~P1(f318(f318(f318(f318(f101(f927(x104541,f927(x104541,a918))),f318(f318(f9(x104541,f927(f926(x104541,x104541),a918),f927(x104541,a918)),f318(f318(f10(f927(x104541,f927(f927(f926(x104541,x104541),a918),a918)),f927(f927(f926(x104541,x104541),a918),f927(x104541,a918)),x104541),f9(x104541,f927(f926(x104541,x104541),a918),a918)),f318(f318(f10(f927(x104541,f926(x104541,x104541)),f927(x104541,f927(f927(f926(x104541,x104541),a918),a918)),x104541),f318(f10(f926(x104541,x104541),f927(f927(f926(x104541,x104541),a918),a918),x104541),f320(f926(x104541,x104541)))),f243(x104541,x104541)))),x104544)),a315),x104542),x104543))
% 202.84/202.78 [10399]E(f318(f318(f142(f921(x103991)),f318(f318(f142(x103991),x103992),f318(f133(f921(x103991),f921(x103991),f125(x103991),f104(x103991)),f318(f318(f145(f921(x103991),f921(x103991)),f147(f921(x103991),x103991,f104(x103991),f318(f318(f10(f921(x103991),f927(f921(x103991),f921(x103991)),x103991),f18(f921(x103991),f921(x103991))),f318(f318(f9(x103991,f921(x103991),f921(x103991)),f142(x103991)),f104(x103991))))),x103993)))),f170(x103991,f318(f318(f142(f921(x103991)),x103994),f318(f133(f921(f921(x103991)),f921(f921(x103991)),f125(f921(x103991)),f104(f921(x103991))),f318(f318(f145(f921(x103991),f921(f921(x103991))),f147(f921(f921(x103991)),x103991,f104(f921(x103991)),f318(f18(f927(f921(x103991),f921(f921(x103991))),x103991),f318(f318(f9(f921(x103991),f921(f921(x103991)),f921(f921(x103991))),f142(f921(x103991))),f104(f921(x103991)))))),x103993))))),f170(x103991,f318(f318(f142(f921(x103991)),f318(f318(f142(x103991),x103992),x103994)),x103993)))+~P1(f318(f306(f921(f921(x103991)),f171(x103991)),f318(f318(f142(f921(x103991)),f318(f318(f142(x103991),x103992),x103994)),x103993)))
% 202.84/202.78 [10442]~P1(f318(f55(x104422),f318(f253(x104422),x104424)))+P1(f318(f55(x104421),f318(f253(x104421),f318(f318(f10(f927(x104422,a918),a918,x104421),f80(x104422)),f318(f318(f9(x104421,f927(x104422,a918),f927(x104422,a918)),f318(f318(f10(f927(x104422,f927(a918,a918)),f927(f927(x104422,a918),f927(x104422,a918)),x104421),f20(x104422,a918,a918)),f318(f318(f10(f927(x104422,a918),f927(x104422,f927(a918,a918)),x104421),f318(f10(a918,f927(a918,a918),x104422),a316)),f318(f318(f9(x104421,f927(x104422,x104421),f927(x104422,a918)),f318(f318(f10(f927(x104421,a918),f927(f927(x104422,x104421),f927(x104422,a918)),x104421),f10(x104421,a918,x104422)),a315)),x104423)))),x104424)))))
% 202.84/202.78 [8953]P25(x89531,x89532,x89533,x89534)+~P26(x89531,x89532,x89533,x89534,x89535)
% 202.84/202.78 [5418]E(x54181,x54182)+~E(f160(x54183,x54181,x54184),f160(x54183,x54182,x54185))
% 202.84/202.78 [5419]E(x54191,x54192)+~E(f117(x54193,x54194,x54191),f117(x54193,x54195,x54192))
% 202.84/202.78 [5420]E(x54201,x54202)+~E(f117(x54203,x54201,x54204),f117(x54203,x54202,x54205))
% 202.84/202.78 [8274]~E(f318(x82743,x82744),x82745)+E(f68(x82741,x82742,x82743,x82744,x82745),x82743)
% 202.84/202.78 [8811]~E(f68(x88114,x88115,x88111,x88112,x88113),x88111)+E(f318(x88111,x88112),x88113)
% 202.84/202.78 [9433]~P26(x94332,x94331,x94334,x94333,x94335)+P26(x94331,x94332,f70(x94332,x94331,x94333,x94334),x94335,x94333)
% 202.84/202.78 [9434]~P26(x94342,x94341,x94344,x94343,x94345)+P26(x94341,x94342,f84(x94342,x94341,x94343,x94344),x94345,x94343)
% 202.84/202.78 [6232]P1(f318(f241(x62321,x62322,x62323),x62324))+~P1(f318(f318(x62323,x62325),x62324))
% 202.84/202.78 [6234]P1(f318(f240(x62341,x62342,x62343),x62344))+~P1(f318(f318(x62343,x62344),x62345))
% 202.84/202.78 [6715]~E(x67155,f2(a90))+E(f318(f189(x67151,x67152,x67153,x67154),x67155),f106(x67152))
% 202.84/202.78 [6716]~E(x67165,f2(a90))+E(f318(f187(x67161,x67162,x67163,x67164),x67165),f115(x67162))
% 202.84/202.78 [6857]~E(x68573,f2(a90))+E(f318(f264(x68571,x68572,x68573,x68574),x68575),f318(f243(x68571,x68572),x68575))
% 202.84/202.78 [7920]~P21(x79204,x79201,x79202,x79205)+E(f318(f66(x79201,x79201,x79201,f318(x79202,x79203)),f318(x79202,x79203)),f318(x79202,x79203))
% 202.84/202.78 [8315]~P17(x83155,x83151,x83152)+E(f318(f66(x83151,x83151,x83151,f318(x83152,x83153)),f318(x83152,x83154)),f318(f66(x83151,x83151,x83151,f318(x83152,x83154)),f318(x83152,x83153)))
% 202.84/202.78 [8643]P1(f318(f318(f320(f926(x86431,x86431)),f318(f318(f243(x86431,x86431),x86432),x86433)),f312(x86431,x86434,x86435)))+~P1(f318(f318(f226(a920),f318(x86434,x86432)),f318(x86434,x86433)))
% 202.84/202.78 [8738]~P1(f318(f318(f320(x87384),x87383),f281(x87384,x87381,x87382,x87385)))+P1(f318(f318(x87381,x87382),x87383))
% 202.84/202.78 [8739]~P1(f318(f318(f320(x87394),x87393),f290(x87394,x87391,x87392,x87395)))+P1(f318(f318(x87391,x87392),x87393))
% 202.84/202.78 [8740]~P1(f318(f318(f320(x87404),x87402),f281(x87404,x87401,x87405,x87403)))+P1(f318(f318(x87401,x87402),x87403))
% 202.84/202.78 [8741]~P1(f318(f318(f320(x87414),x87412),f290(x87414,x87411,x87415,x87413)))+P1(f318(f318(x87411,x87412),x87413))
% 202.84/202.78 [8823]~P26(x88231,x88233,x88235,x88232,x88234)+E(f318(f29(x88231),x88232),f318(f29(x88233),x88234))
% 202.84/202.78 [8871]~P26(x88711,x88712,x88713,x88714,x88715)+E(f318(f301(x88711,x88712,x88713),x88714),x88715)
% 202.84/202.78 [8891]~P60(x88912,x88911,x88915,x88913,x88914)+E(f318(f301(x88911,x88912,x88913),x88914),f233(f927(x88912,a918)))
% 202.84/202.78 [9341]~P36(x93411,x93412,x93413,x93414,x93415)+P36(x93411,x93412,x93413,f318(f159(x93411),x93414),f318(f159(x93412),x93415))
% 202.84/202.78 [9343]~P36(x93431,x93432,x93433,f318(f159(x93431),x93434),x93435)+P36(x93431,x93432,x93433,x93434,f318(f159(x93432),x93435))
% 202.84/202.78 [9344]~P36(x93441,x93442,x93443,x93444,f318(f159(x93442),x93445))+P36(x93441,x93442,x93443,f318(f159(x93441),x93444),x93445)
% 202.84/202.78 [9350]P36(x93501,x93502,x93503,x93504,x93505)+~P36(x93501,x93502,x93503,f318(f159(x93501),x93504),f318(f159(x93502),x93505))
% 202.84/202.78 [9756]P1(f318(f318(f320(f926(f921(x97561),f921(x97561))),f318(f318(f243(f921(x97561),f921(x97561)),f318(f318(f142(x97561),x97562),x97563)),f318(f318(f142(x97561),x97562),x97564))),f148(x97561,x97565)))+~P1(f318(f318(f320(f926(f921(x97561),f921(x97561))),f318(f318(f243(f921(x97561),f921(x97561)),x97563),x97564)),f148(x97561,x97565)))
% 202.84/202.78 [9757]P1(f318(f318(f320(f926(f921(x97571),f921(x97571))),f318(f318(f243(f921(x97571),f921(x97571)),f318(f318(f125(x97571),x97572),x97573)),f318(f318(f125(x97571),x97572),x97574))),f138(x97571,x97575)))+~P1(f318(f318(f320(f926(f921(x97571),f921(x97571))),f318(f318(f243(f921(x97571),f921(x97571)),x97573),x97574)),f138(x97571,x97575)))
% 202.84/202.78 [9955]E(f318(f318(f142(x99551),f659(x99552,x99553,x99554,x99555,x99551)),f661(x99552,x99553,x99554,x99555,x99551)),x99555)+~P1(f318(f318(f320(f926(f921(x99551),f921(x99551))),f318(f318(f243(f921(x99551),f921(x99551)),x99555),f318(f318(f142(x99551),x99554),x99553))),f149(x99551,x99552)))
% 202.84/202.78 [9977]E(f318(f318(f142(x99771),f656(x99772,x99773,x99774,x99775,x99771)),f660(x99772,x99773,x99774,x99775,x99771)),x99773)+~P1(f318(f318(f320(f926(f921(x99771),f921(x99771))),f318(f318(f243(f921(x99771),f921(x99771)),f318(f318(f142(x99771),x99775),x99774)),x99773)),f149(x99771,x99772)))
% 202.84/202.78 [10125]~P1(f318(f318(f320(f926(f921(x101251),f921(x101251))),f318(f318(f243(f921(x101251),f921(x101251)),f318(f318(f142(x101251),x101255),x101252)),x101254)),f149(x101251,x101253)))+P1(f318(f318(f320(f926(f921(x101251),f921(x101251))),f318(f318(f243(f921(x101251),f921(x101251)),x101252),f660(x101253,x101254,x101252,x101255,x101251))),f149(x101251,x101253)))
% 202.84/202.78 [10205]~P1(f318(f318(f320(f926(f921(x102051),f921(x102051))),f318(f318(f243(f921(x102051),f921(x102051)),x102055),f318(f318(f142(x102051),x102054),x102053))),f149(x102051,x102052)))+P1(f318(f318(f320(f926(f921(x102051),f921(x102051))),f318(f318(f243(f921(x102051),f921(x102051)),f661(x102052,x102053,x102054,x102055,x102051)),x102053)),f149(x102051,x102052)))
% 202.84/202.78 [10393]P1(f318(f318(f320(f926(x103931,x103931)),f318(f318(f243(x103931,x103931),f318(x103932,f318(f318(f73(a920),x103933),x103934))),f318(x103932,x103933))),f298(x103931,x103935)))+~P1(f318(f318(f320(f926(x103931,x103931)),f318(f318(f243(x103931,x103931),f318(x103932,f318(a103,f620(x103934,x103933,x103935,x103932,x103931)))),f318(x103932,f620(x103934,x103933,x103935,x103932,x103931)))),f298(x103931,x103935)))
% 202.84/202.78 [5392]E(x53921,x53922)+~E(f318(f318(f142(x53923),x53924),x53921),f318(f318(f142(x53923),x53925),x53922))
% 202.84/202.78 [5393]E(x53931,x53932)+~E(f318(f318(f142(x53933),x53931),x53934),f318(f318(f142(x53933),x53932),x53935))
% 202.84/202.78 [5435]P1(f318(x54351,x54352))+~E(f318(f127(x54353,x54351),x54354),f318(f318(f142(x54353),x54352),x54355))
% 202.84/202.78 [5436]P1(f318(x54361,x54362))+~E(f318(f318(f142(x54363),x54362),x54364),f318(f127(x54363,x54361),x54365))
% 202.84/202.78 [5595]~E(f318(f318(f129(x55951),x55953),x55952),f318(f318(f142(x55951),x55954),x55955))+E(f318(f318(f155(x55951),x55952),x55953),x55954)
% 202.84/202.78 [5733]~P15(x57334,x57335,x57331)+E(f318(f318(x57331,x57332),f318(f318(x57331,x57332),x57333)),f318(f318(x57331,x57332),x57333))
% 202.84/202.78 [6292]~E(x62924,f2(a90))+E(f318(f318(f108(x62921,x62922,x62923),x62924),x62925),f318(f318(f243(f921(x62922),x62921),f104(x62922)),x62925))
% 202.84/202.78 [6363]~P4(x63632)+~E(f318(f318(f139(x63631,x63632,x63633),x63634),x63635),f104(x63631))
% 202.84/202.78 [6754]E(x67541,x67542)+~E(f318(f318(f125(x67543),x67544),f318(f318(f142(x67543),x67541),f104(x67543))),f318(f318(f125(x67543),x67545),f318(f318(f142(x67543),x67542),f104(x67543))))
% 202.84/202.78 [6755]E(x67551,x67552)+~E(f318(f318(f125(x67553),x67551),f318(f318(f142(x67553),x67554),f104(x67553))),f318(f318(f125(x67553),x67552),f318(f318(f142(x67553),x67555),f104(x67553))))
% 202.84/202.78 [7081]E(f318(f318(f300(x70811),f318(x70812,x70813)),f318(f301(x70814,x70811,x70812),x70815)),f318(f301(x70814,x70811,x70812),x70815))+~P1(f318(f318(f320(x70814),x70813),x70815))
% 202.84/202.78 [7088]~P1(f318(x70884,f318(x70883,x70885)))+P1(f318(f318(f302(x70881,x70882,x70883),x70884),x70885))
% 202.84/202.78 [7091]~P1(f318(f318(x70913,x70915),x70914))+P1(f318(f318(f234(x70911,x70912,x70913),x70914),x70915))
% 202.84/202.78 [7187]~E(f318(f301(x71871,x71872,x71873),x71874),x71875)+E(f318(f301(f927(x71871,a918),f927(x71872,a918),f301(x71871,x71872,x71873)),f318(f299(x71871),x71874)),f318(f299(x71872),x71875))
% 202.84/202.78 [7215]E(f318(f262(x72151,x72152,x72153,x72154),x72155),f318(x72154,x72155))+~P1(f318(f318(f320(x72151),x72155),x72153))
% 202.84/202.78 [7532]P25(x75321,x75322,x75323,x75324)+~P25(x75321,x75322,x75323,f318(f318(f300(x75321),x75325),x75324))
% 202.84/202.78 [7637]~P1(f318(f318(f320(x76374),x76373),x76375))+P1(f318(f318(f320(x76371),f318(x76372,x76373)),f318(f301(x76374,x76371,x76372),x76375)))
% 202.84/202.78 [7658]~P4(x76582)+E(f141(x76581,x76582,x76583,f318(f127(x76581,x76584),x76585)),f318(f127(x76581,x76584),f141(x76581,x76582,x76583,x76585)))
% 202.84/202.78 [7689]P1(f318(x76891,f318(x76892,x76893)))+~P1(f318(f318(f302(x76894,x76895,x76892),x76891),x76893))
% 202.84/202.78 [7692]P1(f318(f318(x76921,x76922),x76923))+~P1(f318(f318(f234(x76924,x76925,x76921),x76923),x76922))
% 202.84/202.78 [7755]~P1(f318(f318(f320(x77553),f318(x77554,x77552)),x77555))+P1(f318(f318(f320(x77551),x77552),f318(f302(x77551,x77553,x77554),x77555)))
% 202.84/202.78 [8154]~P1(f318(f318(f320(x81545),x81543),f318(f302(x81545,x81541,x81542),x81544)))+P1(f318(f318(f320(x81541),f318(x81542,x81543)),x81544))
% 202.84/202.78 [8456]~P17(x84562,x84561,x84563)+E(f318(f133(x84561,x84562,f318(f9(x84562,x84561,x84561),x84563),x84564),f143(x84562,x84565)),f318(f318(f58(x84562,x84561,x84563),x84564),f318(f163(x84562),x84565)))
% 202.84/202.78 [8478]E(f318(x84781,f626(x84782,x84781,x84783,x84784)),x84784)+~P1(f318(f318(f320(x84785),x84784),f318(f301(x84783,x84785,x84781),x84782)))
% 202.84/202.78 [8786]~E(x87862,f318(f318(f142(x87861),x87864),x87865))+P1(f318(f318(f320(f926(f921(x87861),f921(x87861))),f318(f318(f243(f921(x87861),f921(x87861)),f104(x87861)),x87862)),f138(x87861,x87863)))
% 202.84/202.78 [8832]E(f318(x88321,f318(f84(x88322,x88323,x88324,x88321),x88325)),x88325)+~P1(f318(f318(f320(x88323),x88325),f318(f301(x88322,x88323,x88321),x88324)))
% 202.84/202.78 [8835]P25(x88351,x88352,f84(x88352,x88351,x88353,x88354),x88355)+~P1(f318(f318(f225(f927(x88351,a918)),x88355),f318(f301(x88352,x88351,x88354),x88353)))
% 202.84/202.78 [8842]~P36(x88421,x88423,x88425,x88422,x88424)+E(f318(f180(f921(x88421)),x88422),f318(f180(f921(x88423)),x88424))
% 202.84/202.78 [8853]P1(f318(f318(f225(f927(x88531,a918)),f318(f318(f34(x88532,f927(x88531,a918)),x88533),x88534)),f318(x88534,x88535)))+~P1(f318(f318(f320(x88532),x88535),x88533))
% 202.84/202.78 [8907]~P60(x89071,x89072,x89073,x89075,x89074)+E(f318(f301(x89071,x89072,x89073),f233(f927(x89071,a918))),x89074)
% 202.84/202.78 [9136]E(f318(f127(x91361,x91362),f748(x91363,x91364,x91365,x91362,x91361)),x91363)+~E(f318(f127(x91361,x91362),x91365),f318(f318(f142(x91361),x91364),x91363))
% 202.84/202.78 [9137]E(f318(f127(x91371,x91372),f749(x91373,x91372,x91374,x91375,x91371)),x91374)+~E(f318(f318(f142(x91371),x91375),x91374),f318(f127(x91371,x91372),x91373))
% 202.84/202.78 [9230]E(f318(f180(f921(x92301)),x92302),x92303)+~P1(f318(f318(f320(f926(f921(x92301),f921(x92301))),f318(f318(f243(f921(x92301),f921(x92301)),x92304),x92302)),f318(f134(x92301,x92305),x92303)))
% 202.84/202.78 [9231]E(f318(f180(f921(x92311)),x92312),x92313)+~P1(f318(f318(f320(f926(f921(x92311),f921(x92311))),f318(f318(f243(f921(x92311),f921(x92311)),x92312),x92314)),f318(f134(x92311,x92315),x92313)))
% 202.84/202.78 [9300]P1(f318(f318(f320(x93001),f626(x93002,x93003,x93001,x93004)),x93002))+~P1(f318(f318(f320(x93005),x93004),f318(f301(x93001,x93005,x93003),x93002)))
% 202.84/202.78 [9459]~P42(f927(x94593,a918),f927(x94591,a918),x94592)+P1(f318(f318(f225(f927(x94591,a918)),f318(x94592,f318(f318(f92(f927(x94593,a918)),x94594),x94595))),f318(f318(f92(f927(x94591,a918)),f318(x94592,x94594)),f318(x94592,x94595))))
% 202.84/202.78 [9461]E(f318(f301(x94611,x94612,x94613),f647(x94614,x94613,x94611,x94615,x94612)),x94615)+~P1(f318(f318(f225(f927(x94612,a918)),x94615),f318(f301(x94611,x94612,x94613),x94614)))
% 202.84/202.78 [9774]P1(f318(f318(f320(f926(f921(x97741),f921(x97741))),f318(f318(f243(f921(x97741),f921(x97741)),f318(f318(f142(x97741),x97742),x97743)),f318(f318(f142(x97741),x97742),x97744))),f298(f921(x97741),f148(x97741,x97745))))+~P1(f318(f318(f320(f926(f921(x97741),f921(x97741))),f318(f318(f243(f921(x97741),f921(x97741)),x97743),x97744)),f298(f921(x97741),f148(x97741,x97745))))
% 202.84/202.78 [9805]~E(f318(x98053,f697(x98055,x98054,x98053,x98052,x98051)),f318(x98055,f697(x98055,x98054,x98053,x98052,x98051)))+E(f318(f318(f145(x98051,x98052),x98053),x98054),f318(f318(f145(x98051,x98052),x98055),x98054))
% 202.84/202.78 [9881]~E(f318(f127(x98811,x98815),x98814),f318(f318(f142(x98811),x98813),x98812))+E(f318(f318(f125(x98811),f750(x98812,x98813,x98814,x98815,x98811)),f318(f318(f142(x98811),x98813),f748(x98812,x98813,x98814,x98815,x98811))),x98814)
% 202.84/202.78 [9882]~E(f318(f318(f142(x98821),x98825),x98824),f318(f127(x98821,x98823),x98822))+E(f318(f318(f125(x98821),f746(x98822,x98823,x98824,x98825,x98821)),f318(f318(f142(x98821),x98825),f749(x98822,x98823,x98824,x98825,x98821))),x98822)
% 202.84/202.78 [9886]E(f318(f318(f145(x98861,x98862),x98863),x98864),f318(f318(f145(x98861,x98862),x98865),x98864))+P1(f318(f318(f320(x98861),f697(x98863,x98864,x98865,x98862,x98861)),f318(f163(x98861),x98864)))
% 202.84/202.78 [9918]~P1(f318(f318(f320(x99185),x99184),f318(f276(x99181,x99185,x99183),x99182)))+P1(f318(f318(f320(x99181),f522(x99182,x99183,x99181,x99184,x99185)),x99182))
% 202.84/202.78 [9919]~P1(f318(f318(f320(x99195),x99194),f318(f276(x99191,x99195,x99193),x99192)))+P1(f318(f318(f320(x99191),f529(x99192,x99193,x99191,x99194,x99195)),x99192))
% 202.84/202.78 [9949]~P1(f318(f318(f225(f927(x99495,a918)),x99494),f318(f301(x99491,x99495,x99493),x99492)))+P1(f318(f318(f225(f927(x99491,a918)),f647(x99492,x99493,x99491,x99494,x99495)),x99492))
% 202.84/202.78 [10394]E(x103941,f2(a90))+E(f214(f926(f921(x103942),x103943),f926(x103942,x103943),f318(f318(f243(f921(x103942),x103943),f104(x103942)),x103944),f318(f248(x103942,x103943,f926(f921(x103942),x103943)),f318(f318(f9(x103942,f927(x103943,f926(f921(x103942),x103943)),f927(x103943,f926(f921(x103942),x103943))),f318(f318(f10(f927(f926(f921(x103942),x103943),f926(f921(x103942),x103943)),f927(f927(x103943,f926(f921(x103942),x103943)),f927(x103943,f926(f921(x103942),x103943))),x103942),f10(f926(f921(x103942),x103943),f926(f921(x103942),x103943),x103943)),f318(f318(f10(f927(f921(x103942),f927(x103943,f926(f921(x103942),x103943))),f927(f926(f921(x103942),x103943),f926(f921(x103942),x103943)),x103942),f248(f921(x103942),x103943,f926(f921(x103942),x103943))),f318(f318(f10(f927(f921(x103942),f921(x103942)),f927(f921(x103942),f927(x103943,f926(f921(x103942),x103943))),x103942),f318(f10(f921(x103942),f927(x103943,f926(f921(x103942),x103943)),f921(x103942)),f243(f921(x103942),x103943))),f142(x103942))))),f318(f108(x103943,x103942,x103945),f318(f318(f3(a90),x103941),f71(a90))))),f318(x103945,x103944)),f318(f318(f108(x103943,x103942,x103945),x103941),x103944))
% 202.84/202.78 [6170]E(x61701,x61702)+~E(f318(f247(x61703,x61704),f318(f318(f243(x61703,x61704),x61705),x61701)),x61702)
% 202.84/202.78 [6171]E(x61711,x61712)+~E(f318(f242(x61713,x61714),f318(f318(f243(x61713,x61714),x61711),x61715)),x61712)
% 202.84/202.78 [6438]~E(x64383,f318(f318(f125(x64381),x64384),f318(f318(f142(x64381),x64382),x64385)))+P1(f318(f318(f320(x64381),x64382),f318(f163(x64381),x64383)))
% 202.84/202.78 [6843]E(f318(f301(x68431,x68432,f318(f18(x68432,x68431),x68433)),x68434),f318(f318(f300(x68432),x68433),f179(f927(x68432,a918))))+~P1(f318(f318(f320(x68431),x68435),x68434))
% 202.84/202.78 [6918]E(f318(f318(f101(f927(x69181,a918)),f318(f163(x69181),x69182)),f318(f163(x69181),x69183)),f318(f163(x69181),x69184))+~E(f157(x69181,x69185,x69184),f318(f318(f243(f921(x69181),f921(x69181)),x69182),x69183))
% 202.84/202.78 [7019]~P4(x70192)+E(f318(f180(f921(x70191)),f318(f318(f139(x70191,x70192,x70193),x70194),x70195)),f318(a103,f318(f180(f921(x70191)),x70195)))
% 202.84/202.78 [7035]~P4(x70352)+E(f318(f163(x70351),f318(f318(f139(x70351,x70352,x70353),x70354),x70355)),f318(f318(f300(x70351),x70354),f318(f163(x70351),x70355)))
% 202.84/202.78 [7310]~P118(x73101)+E(f318(f318(f74(x73101),f318(f318(f74(x73101),x73102),x73103)),f318(f318(f74(x73101),x73104),x73105)),f318(f318(f74(x73101),f318(f318(f74(x73101),x73102),x73104)),f318(f318(f74(x73101),x73103),x73105)))
% 202.84/202.78 [7311]~P118(x73111)+E(f318(f318(f73(x73111),f318(f318(f73(x73111),x73112),x73113)),f318(f318(f73(x73111),x73114),x73115)),f318(f318(f73(x73111),f318(f318(f73(x73111),x73112),x73114)),f318(f318(f73(x73111),x73113),x73115)))
% 202.84/202.78 [7312]~P74(x73121)+E(f318(f318(f282(x73121),f318(f318(f74(x73121),x73122),x73123)),f318(f318(f74(x73121),x73124),x73125)),f318(f318(f74(x73121),f318(f318(f282(x73121),x73122),x73124)),f318(f318(f282(x73121),x73123),x73125)))
% 202.84/202.78 [7326]~P4(x73261)+E(f297(x73261,f318(f318(f224(x73261),x73262),x73263),f318(f318(f223(x73261),x73264),x73265)),f318(f318(f92(f927(x73261,a918)),f297(x73261,x73262,x73264)),f297(x73261,x73263,x73265)))
% 202.84/202.78 [7327]~P4(x73271)+E(f296(x73271,f318(f318(f224(x73271),x73272),x73273),f318(f318(f223(x73271),x73274),x73275)),f318(f318(f92(f927(x73271,a918)),f296(x73271,x73272,x73274)),f296(x73271,x73273,x73275)))
% 202.84/202.78 [7328]~P4(x73281)+E(f294(x73281,f318(f318(f224(x73281),x73282),x73283),f318(f318(f223(x73281),x73284),x73285)),f318(f318(f92(f927(x73281,a918)),f294(x73281,x73282,x73284)),f294(x73281,x73283,x73285)))
% 202.84/202.78 [7330]~P4(x73301)+E(f318(f318(f92(f927(x73301,a918)),f318(f293(x73301,x73302),x73303)),f318(f293(x73301,x73304),x73305)),f318(f293(x73301,f318(f318(f224(x73301),x73302),x73304)),f318(f318(f223(x73301),x73303),x73305)))
% 202.84/202.78 [7454]~P1(f318(x74541,f491(x74543,x74542,x74541)))+P1(f318(x74541,f318(f318(f243(x74542,x74543),x74544),x74545)))
% 202.84/202.78 [7564]~E(x75642,f318(x75644,x75645))+P1(f318(f318(f320(x75641),x75642),f318(f301(x75643,x75641,x75644),f233(f927(x75643,a918)))))
% 202.84/202.78 [7634]~P17(x76343,x76342,x76344)+P17(x76341,x76342,f318(f318(f10(x76343,f927(x76342,x76342),x76341),x76344),x76345))
% 202.84/202.78 [7635]~P15(x76353,x76352,x76354)+P15(x76351,x76352,f318(f318(f10(x76353,f927(x76352,x76352),x76351),x76354),x76355))
% 202.84/202.78 [7772]~P25(x77721,x77722,x77723,x77724)+P25(x77721,x77722,x77723,f318(f318(f3(f927(x77721,a918)),x77724),x77725))
% 202.84/202.78 [7929]~P1(f318(f318(x79293,x79294),x79295))+P1(f318(f318(f248(x79291,x79292,a918),x79293),f318(f318(f243(x79291,x79292),x79294),x79295)))
% 202.84/202.78 [8043]~P1(f318(x80432,x80434))+~E(f318(f318(f129(x80431),f318(f180(f921(x80431)),f168(x80431,x80432,x80433))),x80433),f318(f318(f142(x80431),x80434),x80435))
% 202.84/202.78 [8063]P25(x80631,x80632,x80633,x80634)+~P25(x80631,x80632,x80633,f318(f318(f101(f927(x80631,a918)),x80635),x80634))
% 202.84/202.78 [8064]P25(x80641,x80642,x80643,x80644)+~P25(x80641,x80642,x80643,f318(f318(f101(f927(x80641,a918)),x80644),x80645))
% 202.84/202.78 [8111]~P4(x81112)+E(f318(f318(f139(x81111,x81112,x81113),x81114),f141(x81111,x81112,x81113,x81115)),f141(x81111,x81112,x81113,f318(f318(f142(x81111),x81114),x81115)))
% 202.84/202.78 [8433]~P15(x84332,x84331,x84333)+E(f318(f133(x84331,x84332,f318(f9(x84332,x84331,x84331),x84333),x84334),x84335),f318(f318(f58(x84332,x84331,x84333),x84334),f318(f163(x84332),x84335)))
% 202.84/202.78 [8461]~E(f318(f318(f129(x84611),f318(f180(f921(x84611)),f168(x84611,x84612,x84613))),x84613),f318(f318(f142(x84611),x84614),x84615))+E(f318(f318(f125(x84611),f168(x84611,x84612,x84613)),f318(f318(f142(x84611),x84614),x84615)),x84613)
% 202.84/202.78 [8488]P1(f318(f318(x84881,x84882),x84883))+~P1(f318(f318(f248(x84884,x84885,a918),x84881),f318(f318(f243(x84884,x84885),x84882),x84883)))
% 202.84/202.78 [8971]P1(f318(f318(f225(f927(x89711,a918)),f318(f301(x89712,x89711,x89713),x89714)),f318(f301(x89712,x89711,x89713),x89715)))+~P1(f318(f318(f225(f927(x89712,a918)),x89714),x89715))
% 202.84/202.78 [8972]P1(f318(f318(f225(f927(x89721,a918)),f318(f302(x89721,x89722,x89723),x89724)),f318(f302(x89721,x89722,x89723),x89725)))+~P1(f318(f318(f225(f927(x89722,a918)),x89724),x89725))
% 202.84/202.78 [9051]E(x90511,f2(a90))+E(f318(f318(f250(x90512,x90513,x90512,f926(x90513,x90512)),f318(x90514,x90515)),f264(x90513,x90512,f318(f318(f3(a90),x90511),f71(a90)),x90514)),f318(f264(x90513,x90512,x90511,x90514),x90515))
% 202.84/202.78 [9161]P1(f318(f318(f246(x91611,x91612,a918,x91613),x91614),x91615))+~P1(f318(x91613,f318(f318(f243(x91611,x91612),x91614),x91615)))
% 202.84/202.78 [9439]~P1(f318(f318(f246(x94392,x94393,a918,x94391),x94394),x94395))+P1(f318(x94391,f318(f318(f243(x94392,x94393),x94394),x94395)))
% 202.84/202.78 [9625]~P1(f318(f318(f320(x96252),x96255),f318(f301(x96251,x96252,x96254),x96253)))+P1(f318(f318(f320(x96251),f318(f84(x96251,x96252,x96253,x96254),x96255)),x96253))
% 202.84/202.78 [9716]~P1(f318(f55(x97163),f318(f301(x97162,x97163,x97165),f233(f927(x97162,a918)))))+P1(f318(f55(x97161),f318(f301(x97162,x97161,f318(f318(f10(x97163,x97161,x97162),x97164),x97165)),f233(f927(x97162,a918)))))
% 202.84/202.78 [9741]P1(f318(f318(f225(f927(f927(x97411,a918),a918)),f318(f301(f927(x97412,a918),f927(x97411,a918),f301(x97412,x97411,x97413)),f318(f299(x97412),x97414))),f318(f299(x97411),x97415)))+~P1(f318(f318(f225(f927(x97411,a918)),f318(f301(x97412,x97411,x97413),x97414)),x97415))
% 202.84/202.78 [9813]E(x98131,x98132)+~P1(f318(f60(x98133,x98134,x98135,x98131,f179(f927(x98133,a918))),x98132))
% 202.84/202.78 [9830]E(f318(f318(f243(x98301,x98302),f566(x98303,x98304,x98305,x98302,x98301)),f568(x98303,x98304,x98305,x98302,x98301)),x98305)+~P1(f318(f318(f320(f926(x98301,x98302)),x98305),f318(f318(f245(x98301,x98302),x98304),x98303)))
% 202.84/202.78 [9924]P1(f318(f318(f320(x99241),f566(x99242,x99243,x99244,x99245,x99241)),x99243))+~P1(f318(f318(f320(f926(x99241,x99245)),x99244),f318(f318(f245(x99241,x99245),x99243),x99242)))
% 202.84/202.78 [10084]P1(f318(f318(f320(x100841),f568(x100842,x100843,x100844,x100841,x100845)),f318(x100842,f566(x100842,x100843,x100844,x100841,x100845))))+~P1(f318(f318(f320(f926(x100845,x100841)),x100844),f318(f318(f245(x100845,x100841),x100843),x100842)))
% 202.84/202.78 [10104]P1(f318(f318(f320(f926(x101041,x101041)),f318(f318(f243(x101041,x101041),x101042),f641(x101043,x101044,x101045,x101042,x101041))),x101043))+~P1(f318(f318(f320(f926(x101041,x101041)),f318(f318(f243(x101041,x101041),x101042),x101045)),f318(f318(f174(f926(x101041,x101041),a918),f318(a103,x101044)),x101043)))
% 202.84/202.78 [10105]P1(f318(f318(f320(f926(x101051,x101051)),f318(f318(f243(x101051,x101051),x101052),f642(x101053,x101054,x101055,x101052,x101051))),x101053))+~P1(f318(f318(f320(f926(x101051,x101051)),f318(f318(f243(x101051,x101051),x101052),x101055)),f318(f318(f174(f926(x101051,x101051),a918),f318(a103,x101054)),x101053)))
% 202.84/202.78 [10122]~P1(f318(f318(f320(f926(f921(x101221),f921(x101221))),f318(f318(f243(f921(x101221),f921(x101221)),f318(f318(f142(x101221),x101222),x101225)),x101224)),f149(x101221,x101223)))+P1(f318(f318(f320(f926(x101221,x101221)),f318(f318(f243(x101221,x101221),x101222),f656(x101223,x101224,x101225,x101222,x101221))),x101223))
% 202.84/202.78 [6517]P1(f318(x65172,x65174))+E(f168(x65171,x65172,f318(f318(f125(x65171),x65173),f318(f318(f142(x65171),x65174),x65175))),f168(x65171,x65172,x65173))
% 202.84/202.78 [6567]~P104(x65672)+E(f318(f318(f318(f92(f927(x65671,x65672)),x65673),x65674),x65675),f318(f318(f92(x65672),f318(x65673,x65675)),f318(x65674,x65675)))
% 202.84/202.78 [6569]~P104(x65692)+E(f318(f318(f318(f101(f927(x65691,x65692)),x65693),x65694),x65695),f318(f318(f101(x65692),f318(x65693,x65695)),f318(x65694,x65695)))
% 202.84/202.78 [6571]~P85(x65712)+E(f318(f318(f318(f3(f927(x65711,x65712)),x65713),x65714),x65715),f318(f318(f3(x65712),f318(x65713,x65715)),f318(x65714,x65715)))
% 202.84/202.78 [6589]E(x65891,x65892)+E(f318(f318(f155(x65893),f318(f318(f150(x65893,x65894),x65891),x65895)),x65892),f318(f318(f155(x65893),x65894),x65892))
% 202.84/202.78 [6862]~E(x68624,f179(f927(x68623,a918)))+E(f318(f318(f92(f927(x68621,a918)),x68622),f318(f318(f34(x68623,f927(x68621,a918)),x68624),x68625)),x68622)
% 202.84/202.78 [6863]~E(x68634,f179(f927(x68633,a918)))+E(f318(f318(f101(f927(x68631,a918)),x68632),f318(f318(f33(x68633,f927(x68631,a918)),x68634),x68635)),x68632)
% 202.84/202.78 [6864]~E(x68644,f179(f927(x68643,a918)))+E(f318(f318(f3(f927(x68641,a918)),x68642),f318(f318(f33(x68643,f927(x68641,a918)),x68644),x68645)),x68642)
% 202.84/202.78 [6881]~E(x68814,f179(f927(x68813,a918)))+E(f318(f318(f300(x68811),x68812),f318(f318(f33(x68813,f927(x68811,a918)),x68814),x68815)),f318(f318(f300(x68811),x68812),f179(f927(x68811,a918))))
% 202.84/202.78 [7680]E(f318(f318(f155(x76801),f318(f318(f145(x76802,x76801),x76803),x76804)),x76805),f318(x76803,f318(f318(f155(x76802),x76804),x76805)))+~P1(f318(f318(f226(a920),x76805),f318(f180(f921(x76802)),x76804)))
% 202.84/202.78 [7743]E(f318(f318(f92(f927(x77431,a918)),f318(x77432,x77433)),f318(f318(f34(x77434,f927(x77431,a918)),x77435),x77432)),f318(f318(f34(x77434,f927(x77431,a918)),x77435),x77432))+~P1(f318(f318(f320(x77434),x77433),x77435))
% 202.84/202.78 [7744]E(f318(f318(f101(f927(x77441,a918)),f318(x77442,x77443)),f318(f318(f33(x77444,f927(x77441,a918)),x77445),x77442)),f318(f318(f33(x77444,f927(x77441,a918)),x77445),x77442))+~P1(f318(f318(f320(x77444),x77443),x77445))
% 202.84/202.78 [8355]~E(x83553,f179(f927(x83551,a918)))+E(f318(f318(f33(x83551,f927(x83552,a918)),x83553),f318(f318(f10(f927(x83552,a918),f927(x83552,a918),x83551),f318(f300(x83552),x83554)),x83555)),f179(f927(x83552,a918)))
% 202.84/202.78 [8360]~P1(f318(f318(f320(x83604),x83603),x83605))+P1(f318(f318(f225(f927(x83601,a918)),f318(x83602,x83603)),f318(f318(f33(x83604,f927(x83601,a918)),x83605),x83602)))
% 202.84/202.78 [8487]~E(f318(x84874,x84872),x84875)+P1(f318(f318(f320(x84871),x84872),f318(f302(x84871,x84873,x84874),f318(f318(f300(x84873),x84875),f179(f927(x84873,a918))))))
% 202.84/202.78 [8535]~P58(x85351,x85352,f318(f277(x85352,x85351),x85353))+E(f318(f318(f92(f927(x85351,a918)),f318(f276(x85352,x85351,x85353),x85354)),f318(f276(x85352,x85351,x85353),x85355)),f318(f276(x85352,x85351,x85353),f318(f318(f92(f927(x85352,a918)),x85354),x85355)))
% 202.84/202.78 [8610]E(x86101,f2(a90))+E(f318(f109(x86102,x86103,f318(x86104,f318(f318(f3(a90),x86101),f71(a90)))),f318(f318(f9(x86102,a90,f922(x86103)),x86105),x86101)),f318(f189(x86102,x86103,x86104,x86105),x86101))
% 202.84/202.78 [8650]E(x86501,f179(f927(x86502,a918)))+E(f318(f318(f33(x86502,f927(x86503,a918)),x86501),f318(f318(f10(f927(x86503,a918),f927(x86503,a918),x86502),f318(f300(x86503),x86504)),x86505)),f318(f318(f300(x86503),x86504),f318(f318(f33(x86502,f927(x86503,a918)),x86501),x86505)))
% 202.84/202.78 [8703]~P25(x87032,x87031,x87033,f233(f927(x87032,a918)))+E(f318(f318(f92(f927(x87031,a918)),f318(f301(x87032,x87031,x87033),x87034)),f318(f301(x87032,x87031,x87033),x87035)),f318(f301(x87032,x87031,x87033),f318(f318(f92(f927(x87032,a918)),x87034),x87035)))
% 202.84/202.78 [8704]~P25(x87042,x87041,x87043,f233(f927(x87042,a918)))+E(f318(f318(f3(f927(x87041,a918)),f318(f301(x87042,x87041,x87043),x87044)),f318(f301(x87042,x87041,x87043),x87045)),f318(f301(x87042,x87041,x87043),f318(f318(f3(f927(x87042,a918)),x87044),x87045)))
% 202.84/202.78 [8773]~P1(f318(f318(f61(x87731,x87732,x87735),x87733),x87734))+P1(f318(f318(f320(f926(x87731,x87732)),f318(f318(f243(x87731,x87732),x87733),x87734)),x87735))
% 202.84/202.78 [8805]P1(f318(f318(f320(x88051),x88052),f318(f275(x88053,x88051),x88054)))+~P1(f318(f318(f320(f926(x88053,x88051)),f318(f318(f243(x88053,x88051),x88055),x88052)),x88054))
% 202.84/202.78 [8807]P1(f318(f318(f320(x88071),x88072),f318(f255(x88071,x88073),x88074)))+~P1(f318(f318(f320(f926(x88071,x88073)),f318(f318(f243(x88071,x88073),x88072),x88075)),x88074))
% 202.84/202.78 [8954]P1(f318(f318(f61(x89541,x89542,x89543),x89544),x89545))+~P1(f318(f318(f320(f926(x89541,x89542)),f318(f318(f243(x89541,x89542),x89544),x89545)),x89543))
% 202.84/202.78 [8994]E(f318(x89941,x89942),x89943)+~P1(f318(f318(f320(x89944),x89942),f318(f302(x89944,x89945,x89941),f318(f318(f300(x89945),x89943),f179(f927(x89945,a918))))))
% 202.84/202.78 [9227]P1(f318(f318(f320(f926(x92271,x92272)),f318(f318(f243(x92271,x92272),x92273),x92274)),f318(f277(x92272,x92271),x92275)))+~P1(f318(f318(f320(f926(x92272,x92271)),f318(f318(f243(x92272,x92271),x92274),x92273)),x92275))
% 202.84/202.78 [9245]~P1(f318(f318(x92451,x92455),x92454))+P1(f318(f318(x92451,f318(f247(x92452,x92453),f318(f318(f243(x92452,x92453),x92454),x92455))),f318(f242(x92452,x92453),f318(f318(f243(x92452,x92453),x92454),x92455))))
% 202.84/202.78 [9275]~P1(f318(f318(f320(f926(x92752,x92751)),f318(f318(f243(x92752,x92751),x92754),x92753)),f318(f277(x92751,x92752),x92755)))+P1(f318(f318(f320(f926(x92751,x92752)),f318(f318(f243(x92751,x92752),x92753),x92754)),x92755))
% 202.84/202.78 [9307]~P1(f318(f318(f320(f926(x93073,x93071)),f318(f318(f243(x93073,x93071),x93075),x93072)),x93074))+P1(f318(f318(f320(x93071),x93072),f318(f276(x93073,x93071,x93074),f318(f318(f300(x93073),x93075),f179(f927(x93073,a918))))))
% 202.84/202.78 [9356]P1(f318(f318(f320(f926(x93561,x93562)),f318(f318(f243(x93561,x93562),x93563),x93564)),x93565))+~P1(f318(f318(f320(x93562),x93564),f318(f276(x93561,x93562,x93565),f318(f318(f300(x93561),x93563),f179(f927(x93561,a918))))))
% 202.84/202.78 [9446]~P83(x94461)+E(f318(f318(f8(a920,x94461),x94462),f294(a920,f318(f318(f73(a920),x94463),x94464),f318(f318(f73(a920),x94465),x94464))),f318(f318(f8(a920,x94461),f318(f318(f10(a920,x94461,a920),x94462),f318(f318(f9(a920,a920,a920),f73(a920)),x94464))),f294(a920,x94463,x94465)))
% 202.84/202.78 [9466]~P83(x94661)+E(f318(f318(f8(a920,x94661),x94662),f318(f293(a920,f318(f318(f73(a920),x94663),x94664)),f318(f318(f73(a920),x94665),x94664))),f318(f318(f8(a920,x94661),f318(f318(f10(a920,x94661,a920),x94662),f318(f318(f9(a920,a920,a920),f73(a920)),x94664))),f318(f293(a920,x94663),x94665)))
% 202.84/202.78 [9524]~P25(x95241,x95242,x95243,f233(f927(x95241,a918)))+E(f318(f318(f145(x95241,x95242),x95243),f318(f127(x95241,f318(f318(f10(a918,a918,x95241),a313),f318(a315,x95244))),x95245)),f318(f127(x95242,f318(f318(f10(a918,a918,x95242),a313),f318(a315,f318(x95243,x95244)))),f318(f318(f145(x95241,x95242),x95243),x95245)))
% 202.84/202.78 [9542]~P25(x95421,x95422,x95423,f318(f318(f300(x95421),x95424),f318(f163(x95421),x95425)))+E(f318(f318(f145(x95421,x95422),x95423),f318(f127(x95421,f318(f318(f10(a918,a918,x95421),a313),f318(a315,x95424))),x95425)),f318(f127(x95422,f318(f318(f10(a918,a918,x95422),a313),f318(a315,f318(x95423,x95424)))),f318(f318(f145(x95421,x95422),x95423),x95425)))
% 202.84/202.78 [9704]P1(f318(f318(f320(f926(f921(x97041),f921(x97041))),f318(f318(f243(f921(x97041),f921(x97041)),f318(f318(f142(x97041),x97042),x97043)),f318(f318(f142(x97041),x97044),x97043))),f148(x97041,x97045)))+~P1(f318(f318(f320(f926(x97041,x97041)),f318(f318(f243(x97041,x97041),x97042),x97044)),x97045))
% 202.84/202.78 [9825]E(f318(f318(f300(x98251),f876(x98252,x98253,x98254,x98255,x98251)),f878(x98252,x98253,x98254,x98255,x98251)),f318(f318(f300(x98251),x98254),x98253))+~P1(f318(f56(x98251,x98255,f318(f318(f300(x98251),x98254),x98253)),x98252))
% 202.84/202.78 [9826]E(f318(f318(f300(x98261),f879(x98262,x98263,x98264,x98265,x98261)),f880(x98262,x98263,x98264,x98265,x98261)),f318(f318(f300(x98261),x98264),x98263))+~P1(f318(f56(x98261,x98265,f318(f318(f300(x98261),x98264),x98263)),x98262))
% 202.84/202.78 [9908]P1(f318(f318(f320(x99081),f486(x99082,x99083,x99084,x99085,x99081)),x99084))+P1(f318(f318(f318(f34(x99081,f927(x99085,a918)),x99084),x99083),x99082))
% 202.84/202.78 [9913]P1(f318(f318(f320(x99131),f475(x99132,x99133,x99131,x99134,x99135)),x99133))+P1(f318(f318(f320(x99135),x99134),f318(f318(f34(x99131,f927(x99135,a918)),x99133),x99132)))
% 202.84/202.78 [9922]P1(f318(f318(f320(x99221),f487(x99222,x99223,x99221,x99224,x99225)),x99223))+P1(f318(f318(f225(f927(x99225,a918)),x99224),f318(f318(f34(x99221,f927(x99225,a918)),x99223),x99222)))
% 202.84/202.78 [9923]P1(f318(f318(f320(x99231),f843(x99232,x99233,x99234,x99235,x99231)),x99235))+P1(f318(f318(f225(f927(x99234,a918)),x99233),f318(f318(f34(x99231,f927(x99234,a918)),x99235),x99232)))
% 202.84/202.78 [9925]P1(f318(f318(x99251,f476(x99252,x99251,x99253,x99254,x99255)),x99252))+~P1(f318(f318(f318(f33(x99255,f927(x99254,a918)),x99253),x99251),x99252))
% 202.84/202.78 [9929]P1(f318(f318(f320(x99291),f476(x99292,x99293,x99294,x99295,x99291)),x99294))+~P1(f318(f318(f318(f33(x99291,f927(x99295,a918)),x99294),x99293),x99292))
% 202.84/202.78 [9930]P56(x99304,f318(f318(f34(x99301,f927(x99304,a918)),x99305),x99303),f318(f318(f34(x99301,f927(f926(x99304,x99304),a918)),x99305),x99302))+P1(f318(f318(f320(x99301),f778(x99302,x99303,x99304,x99305,x99301)),x99305))
% 202.84/202.78 [9931]P56(x99314,f318(f318(f33(x99311,f927(x99314,a918)),x99315),x99313),f318(f318(f33(x99311,f927(f926(x99314,x99314),a918)),x99315),x99312))+P1(f318(f318(f320(x99311),f832(x99312,x99313,x99314,x99315,x99311)),x99315))
% 202.84/202.78 [9941]P1(f318(f318(f320(x99411),f477(x99412,x99413,x99411,x99414,x99415)),x99413))+~P1(f318(f318(f320(x99415),x99414),f318(f318(f33(x99411,f927(x99415,a918)),x99413),x99412)))
% 202.84/202.78 [9947]P1(f318(f318(f320(x99471),x99472),f318(x99473,f477(x99473,x99474,x99475,x99472,x99471))))+~P1(f318(f318(f320(x99471),x99472),f318(f318(f33(x99475,f927(x99471,a918)),x99474),x99473)))
% 202.84/202.78 [10033]~P1(f318(f318(x100334,f486(x100335,x100334,x100333,x100332,x100331)),x100335))+P1(f318(f318(f318(f34(x100331,f927(x100332,a918)),x100333),x100334),x100335))
% 202.84/202.78 [10036]~P1(f318(f318(f320(x100361),x100362),f318(x100365,f475(x100365,x100364,x100363,x100362,x100361))))+P1(f318(f318(f320(x100361),x100362),f318(f318(f34(x100363,f927(x100361,a918)),x100364),x100365)))
% 202.84/202.78 [10040]~P56(x100401,f318(x100404,f832(x100405,x100404,x100401,x100403,x100402)),f318(x100405,f832(x100405,x100404,x100401,x100403,x100402)))+P56(x100401,f318(f318(f33(x100402,f927(x100401,a918)),x100403),x100404),f318(f318(f33(x100402,f927(f926(x100401,x100401),a918)),x100403),x100405))
% 202.84/202.78 [10041]~P56(x100411,f318(x100414,f778(x100415,x100414,x100411,x100413,x100412)),f318(x100415,f778(x100415,x100414,x100411,x100413,x100412)))+P56(x100411,f318(f318(f34(x100412,f927(x100411,a918)),x100413),x100414),f318(f318(f34(x100412,f927(f926(x100411,x100411),a918)),x100413),x100415))
% 202.84/202.78 [10042]~P1(f318(f318(f225(f927(x100421,a918)),x100422),f318(x100425,f487(x100425,x100424,x100423,x100422,x100421))))+P1(f318(f318(f225(f927(x100421,a918)),x100422),f318(f318(f34(x100423,f927(x100421,a918)),x100424),x100425)))
% 202.84/202.78 [10043]~P1(f318(f318(f225(f927(x100431,a918)),x100432),f318(x100435,f843(x100435,x100432,x100431,x100434,x100433))))+P1(f318(f318(f225(f927(x100431,a918)),x100432),f318(f318(f34(x100433,f927(x100431,a918)),x100434),x100435)))
% 202.84/202.78 [10108]~P1(f318(f318(f320(x101081),f876(x101085,x101084,x101083,x101082,x101081)),f878(x101085,x101084,x101083,x101082,x101081)))+~P1(f318(f56(x101081,x101082,f318(f318(f300(x101081),x101083),x101084)),x101085))
% 202.84/202.78 [10109]~P1(f318(f318(f320(x101091),f879(x101095,x101094,x101093,x101092,x101091)),f880(x101095,x101094,x101093,x101092,x101091)))+~P1(f318(f56(x101091,x101092,f318(f318(f300(x101091),x101093),x101094)),x101095))
% 202.84/202.78 [10110]~P1(f318(f318(f320(f926(x101101,x101101)),f318(f318(f243(x101101,x101101),x101102),x101105)),f318(f318(f174(f926(x101101,x101101),a918),f318(a103,x101104)),x101103)))+P1(f318(f318(f320(f926(x101101,x101101)),f318(f318(f243(x101101,x101101),x101102),f643(x101103,x101104,x101105,x101102,x101101))),f318(f318(f174(f926(x101101,x101101),a918),x101104),x101103)))
% 202.84/202.78 [10116]P1(f318(f60(x101161,x101161,x101162,f876(x101163,x101164,x101165,x101162,x101161),f878(x101163,x101164,x101165,x101162,x101161)),x101163))+~P1(f318(f56(x101161,x101162,f318(f318(f300(x101161),x101165),x101164)),x101163))
% 202.84/202.78 [10117]P1(f318(f60(x101171,x101171,x101172,f879(x101173,x101174,x101175,x101172,x101171),f880(x101173,x101174,x101175,x101172,x101171)),x101173))+~P1(f318(f56(x101171,x101172,f318(f318(f300(x101171),x101175),x101174)),x101173))
% 202.84/202.78 [10127]~P4(x101271)+P13(x101271,f318(f318(f145(x101272,x101271),x101273),f318(f127(x101272,f318(f318(f9(x101272,x101271,a918),f318(f318(f10(x101271,f927(x101271,a918),x101272),a315),x101273)),f318(x101274,x101275))),x101275)))
% 202.84/202.78 [10177]~P1(f318(f318(f320(x101772),x101775),f318(f276(x101771,x101772,x101774),x101773)))+P1(f318(f318(f320(f926(x101771,x101772)),f318(f318(f243(x101771,x101772),f522(x101773,x101774,x101771,x101775,x101772)),x101775)),x101774))
% 202.84/202.78 [10178]~P1(f318(f318(f320(x101782),x101785),f318(f276(x101781,x101782,x101784),x101783)))+P1(f318(f318(f320(f926(x101781,x101782)),f318(f318(f243(x101781,x101782),f529(x101783,x101784,x101781,x101785,x101782)),x101785)),x101784))
% 202.84/202.78 [10198]~P1(f318(f318(f320(f926(x101981,x101981)),f318(f318(f243(x101981,x101981),x101985),x101984)),f318(f318(f174(f926(x101981,x101981),a918),f318(a103,x101983)),x101982)))+P1(f318(f318(f320(f926(x101981,x101981)),f318(f318(f243(x101981,x101981),f643(x101982,x101983,x101984,x101985,x101981)),x101984)),x101982))
% 202.84/202.78 [10201]~P1(f318(f318(f320(f926(x102011,x102011)),f318(f318(f243(x102011,x102011),x102015),x102014)),f318(f318(f174(f926(x102011,x102011),a918),f318(a103,x102013)),x102012)))+P1(f318(f318(f320(f926(x102011,x102011)),f318(f318(f243(x102011,x102011),f641(x102012,x102013,x102014,x102015,x102011)),x102014)),f318(f318(f174(f926(x102011,x102011),a918),x102013),x102012)))
% 202.84/202.78 [10202]~P1(f318(f318(f320(f926(x102021,x102021)),f318(f318(f243(x102021,x102021),x102025),x102024)),f318(f318(f174(f926(x102021,x102021),a918),f318(a103,x102023)),x102022)))+P1(f318(f318(f320(f926(x102021,x102021)),f318(f318(f243(x102021,x102021),f642(x102022,x102023,x102024,x102025,x102021)),x102024)),f318(f318(f174(f926(x102021,x102021),a918),x102023),x102022)))
% 202.84/202.78 [10203]~P1(f318(f318(f320(f926(f921(x102031),f921(x102031))),f318(f318(f243(f921(x102031),f921(x102031)),x102035),f318(f318(f142(x102031),x102034),x102033))),f149(x102031,x102032)))+P1(f318(f318(f320(f926(x102031,x102031)),f318(f318(f243(x102031,x102031),f659(x102032,x102033,x102034,x102035,x102031)),x102034)),x102032))
% 202.84/202.78 [7764]~E(x77643,f179(f927(x77642,a918)))+E(f318(f318(f92(f927(x77641,a918)),f318(f318(f34(x77642,f927(x77641,a918)),x77643),x77644)),x77645),x77645)
% 202.84/202.78 [7765]~E(x77653,f179(f927(x77652,a918)))+E(f318(f318(f101(f927(x77651,a918)),f318(f318(f33(x77652,f927(x77651,a918)),x77653),x77654)),x77655),x77655)
% 202.84/202.78 [8194]~E(x81943,f179(f927(x81942,a918)))+E(f318(f318(f3(f927(x81941,a918)),f318(f318(f34(x81942,f927(x81941,a918)),x81943),x81944)),x81945),f318(f318(f3(f927(x81941,a918)),f233(f927(x81941,a918))),x81945))
% 202.84/202.78 [8328]E(f318(f318(f150(x83281,f318(f318(f125(x83281),x83282),x83283)),x83284),x83285),f318(f318(f125(x83281),f318(f318(f150(x83281,x83282),x83284),x83285)),x83283))+~P1(f318(f318(f226(a920),x83284),f318(f180(f921(x83281)),x83282)))
% 202.84/202.78 [8600]E(f318(f318(f155(x86001),f318(f318(f145(a920,x86001),x86002),f130(a920,f318(f293(a920,x86003),x86004)))),x86005),f318(x86002,f318(f318(f73(a920),x86003),x86005)))+~P1(f318(f318(f226(a920),x86005),f318(f318(f3(a920),x86004),x86003)))
% 202.84/202.78 [8614]E(x86141,f2(a90))+E(f113(x86142,x86143,f318(x86144,f318(f318(f3(a90),x86141),f71(a90))),f318(f318(f9(x86142,a90,f922(f924(x86143))),x86145),x86141)),f318(f187(x86142,x86143,x86144,x86145),x86141))
% 202.84/202.78 [8640]~E(x86403,f179(f927(x86401,a918)))+E(f318(f318(f33(x86401,f927(x86402,a918)),x86403),f318(f318(f10(f927(x86402,a918),f927(x86402,a918),x86401),f318(f101(f927(x86402,a918)),x86404)),x86405)),f179(f927(x86402,a918)))
% 202.84/202.78 [8641]~E(x86413,f179(f927(x86411,a918)))+E(f318(f318(f34(x86411,f927(x86412,a918)),x86413),f318(f318(f10(f927(x86412,a918),f927(x86412,a918),x86411),f318(f92(f927(x86412,a918)),x86414)),x86415)),f233(f927(x86412,a918)))
% 202.84/202.78 [8642]~E(x86423,f179(f927(x86421,a918)))+E(f318(f318(f34(x86421,f927(x86422,a918)),x86423),f318(f318(f10(f927(x86422,a918),f927(x86422,a918),x86421),f318(f3(f927(x86422,a918)),x86424)),x86425)),f233(f927(x86422,a918)))
% 202.84/202.78 [8644]~P148(x86442)+E(f318(f318(f8(x86441,x86442),f318(f318(f10(x86442,x86442,x86441),f318(f74(x86442),x86443)),x86444)),x86445),f318(f318(f74(x86442),x86443),f318(f318(f8(x86441,x86442),x86444),x86445)))
% 202.84/202.78 [8938]E(x89381,f179(f927(x89382,a918)))+E(f318(f318(f33(x89382,f927(x89383,a918)),x89381),f318(f318(f10(f927(x89383,a918),f927(x89383,a918),x89382),f318(f101(f927(x89383,a918)),x89384)),x89385)),f318(f318(f101(f927(x89383,a918)),x89384),f318(f318(f33(x89382,f927(x89383,a918)),x89381),x89385)))
% 202.84/202.78 [8939]E(x89391,f179(f927(x89392,a918)))+E(f318(f318(f34(x89392,f927(x89393,a918)),x89391),f318(f318(f10(f927(x89393,a918),f927(x89393,a918),x89392),f318(f92(f927(x89393,a918)),x89394)),x89395)),f318(f318(f92(f927(x89393,a918)),x89394),f318(f318(f34(x89392,f927(x89393,a918)),x89391),x89395)))
% 202.84/202.78 [8940]E(x89401,f179(f927(x89402,a918)))+E(f318(f318(f34(x89402,f927(x89403,a918)),x89401),f318(f318(f10(f927(x89403,a918),f927(x89403,a918),x89402),f318(f3(f927(x89403,a918)),x89404)),x89405)),f318(f318(f3(f927(x89403,a918)),x89404),f318(f318(f33(x89402,f927(x89403,a918)),x89401),x89405)))
% 202.84/202.78 [9143]~P1(f318(f318(f226(a920),f318(x91434,x91432)),f318(x91434,x91433)))+P1(f318(f318(f320(f926(x91431,x91431)),f318(f318(f243(x91431,x91431),x91432),x91433)),f144(x91431,f318(f318(f142(f927(x91431,a920)),x91434),x91435))))
% 202.84/202.78 [9393]~P42(f927(x93935,a918),f927(x93931,a918),x93932)+P1(f318(f318(f225(f927(x93931,a918)),f318(f318(f101(f927(x93931,a918)),f318(x93932,x93933)),f318(x93932,x93934))),f318(x93932,f318(f318(f101(f927(x93935,a918)),x93933),x93934))))
% 202.84/202.78 [9412]~P25(x94122,x94121,x94123,f318(f318(f101(f927(x94122,a918)),x94124),x94125))+E(f318(f318(f92(f927(x94121,a918)),f318(f301(x94122,x94121,x94123),f318(f318(f3(f927(x94122,a918)),x94124),x94125))),f318(f301(x94122,x94121,x94123),f318(f318(f3(f927(x94122,a918)),x94125),x94124))),f179(f927(x94121,a918)))
% 202.84/202.78 [9670]~P25(x96703,x96701,x96705,f233(f927(x96703,a918)))+E(f318(f66(x96701,x96702,x96703,f318(f66(x96703,x96702,x96701,x96704),f84(x96703,x96701,f233(f927(x96703,a918)),x96705))),x96705),x96704)
% 202.84/202.78 [9700]~P1(f318(f318(f225(f927(x97003,a918)),f318(f276(x97001,x97003,x97004),x97002)),x97005))+P1(f318(f318(f225(f927(x97001,a918)),x97002),f318(f72(f927(x97001,a918)),f318(f276(x97003,x97001,f318(f277(x97001,x97003),x97004)),f318(f72(f927(x97003,a918)),x97005)))))
% 202.84/202.78 [9725]~P25(x97251,x97252,x97253,f318(f318(f300(x97251),x97254),x97255))+~P1(f318(f318(f320(x97252),f318(x97253,x97254)),f318(f301(x97251,x97252,x97253),f318(f318(f3(f927(x97251,a918)),x97255),f318(f318(f300(x97251),x97254),f179(f927(x97251,a918)))))))
% 202.84/202.78 [9778]P1(f318(f318(f225(f927(x97781,a918)),f318(f276(x97782,x97781,x97783),x97784)),x97785))+~P1(f318(f318(f225(f927(x97782,a918)),x97784),f318(f72(f927(x97782,a918)),f318(f276(x97781,x97782,f318(f277(x97782,x97781),x97783)),f318(f72(f927(x97781,a918)),x97785)))))
% 202.84/202.78 [9852]~P93(x98521)+P1(f318(f318(f225(x98521),f318(f69(x98521),f318(f318(f3(x98521),f318(f318(f73(x98521),x98522),x98523)),f318(f318(f73(x98521),x98524),x98525)))),f318(f318(f73(x98521),f318(f69(x98521),f318(f318(f3(x98521),x98522),x98524))),f318(f69(x98521),f318(f318(f3(x98521),x98523),x98525)))))
% 202.84/202.78 [9962]P1(f318(f318(f320(x99621),f484(x99622,x99623,x99624,x99621,x99625)),x99624))+P1(f318(f318(f225(f927(x99625,a918)),f318(f318(f33(x99621,f927(x99625,a918)),x99624),x99623)),x99622))
% 202.84/202.78 [10145]~P1(f318(f318(f225(f927(x101451,a918)),f318(x101454,f484(x101455,x101454,x101453,x101452,x101451))),x101455))+P1(f318(f318(f225(f927(x101451,a918)),f318(f318(f33(x101452,f927(x101451,a918)),x101453),x101454)),x101455))
% 202.84/202.78 [8751]E(f318(f318(f125(x87511),x87512),f318(f318(f150(x87511,x87513),f318(f318(f3(a920),x87514),f318(f180(f921(x87511)),x87512))),x87515)),f318(f318(f150(x87511,f318(f318(f125(x87511),x87512),x87513)),x87514),x87515))+P1(f318(f318(f226(a920),x87514),f318(f180(f921(x87511)),x87512)))
% 202.84/202.78 [8780]~P147(x87801)+E(f318(f318(f73(x87801),f318(f318(f74(x87801),x87802),x87803)),f318(f318(f73(x87801),f318(f318(f74(x87801),x87804),x87803)),x87805)),f318(f318(f73(x87801),f318(f318(f74(x87801),f318(f318(f73(x87801),x87802),x87804)),x87803)),x87805))
% 202.84/202.78 [9365]~P148(x93651)+E(f318(f156(x93651),f318(f318(f145(x93652,x93651),f318(f318(f10(x93651,x93651,x93652),f318(f74(x93651),x93653)),x93654)),x93655)),f318(f318(f74(x93651),x93653),f318(f156(x93651),f318(f318(f145(x93652,x93651),x93654),x93655))))
% 202.84/202.78 [9541]E(f318(f180(f921(x95411)),f318(f318(f166(x95411),f318(f318(f223(a920),f318(f180(f921(x95411)),x95412)),f318(f180(f921(x95413)),x95414))),x95412)),f318(f180(f921(x95413)),f318(f318(f166(x95413),f318(f318(f223(a920),f318(f180(f921(x95411)),x95412)),f318(f180(f921(x95413)),x95414))),x95414)))+P1(f318(x95415,f318(f318(f172(x95411,x95413),x95412),x95414)))
% 202.84/202.78 [9788]~P148(x97882)+E(f318(f318(f8(x97881,x97882),f318(f318(f9(x97881,x97882,x97882),f318(f318(f10(x97882,f927(x97882,x97882),x97881),f74(x97882)),x97883)),x97884)),x97885),f318(f318(f74(x97882),f318(f318(f8(x97881,x97882),x97883),x97885)),x97884))
% 202.84/202.78 [9789]~P75(x97892)+E(f318(f318(f8(x97891,x97892),f318(f318(f9(x97891,x97892,x97892),f318(f318(f10(x97892,f927(x97892,x97892),x97891),f282(x97892)),x97893)),x97894)),x97895),f318(f318(f282(x97892),f318(f318(f8(x97891,x97892),x97893),x97895)),x97894))
% 202.84/202.78 [9796]~P84(x97962)+E(f318(f318(f11(x97961,x97962),f318(f318(f20(x97961,x97962,x97962),f318(f318(f10(x97962,f927(x97962,x97962),x97961),f74(x97962)),x97963)),x97964)),x97965),f318(f318(f74(x97962),f318(f318(f11(x97961,x97962),x97963),x97965)),f318(f318(f11(x97961,x97962),x97964),x97965)))
% 202.84/202.78 [9797]~P69(x97972)+E(f318(f318(f8(x97971,x97972),f318(f318(f20(x97971,x97972,x97972),f318(f318(f10(x97972,f927(x97972,x97972),x97971),f3(x97972)),x97973)),x97974)),x97975),f318(f318(f3(x97972),f318(f318(f8(x97971,x97972),x97973),x97975)),f318(f318(f8(x97971,x97972),x97974),x97975)))
% 202.84/202.78 [9798]~P83(x97982)+E(f318(f318(f8(x97981,x97982),f318(f318(f20(x97981,x97982,x97982),f318(f318(f10(x97982,f927(x97982,x97982),x97981),f73(x97982)),x97983)),x97984)),x97985),f318(f318(f73(x97982),f318(f318(f8(x97981,x97982),x97983),x97985)),f318(f318(f8(x97981,x97982),x97984),x97985)))
% 202.84/202.78 [9837]~E(x98373,f179(f927(x98371,a918)))+E(f318(f318(f33(x98371,f927(x98372,a918)),x98373),f318(f318(f9(x98371,f927(x98372,a918),f927(x98372,a918)),f318(f318(f10(f927(x98372,a918),f927(f927(x98372,a918),f927(x98372,a918)),x98371),f101(f927(x98372,a918))),x98374)),x98375)),f179(f927(x98372,a918)))
% 202.84/202.78 [9838]~E(x98383,f179(f927(x98381,a918)))+E(f318(f318(f34(x98381,f927(x98382,a918)),x98383),f318(f318(f9(x98381,f927(x98382,a918),f927(x98382,a918)),f318(f318(f10(f927(x98382,a918),f927(f927(x98382,a918),f927(x98382,a918)),x98381),f92(f927(x98382,a918))),x98384)),x98385)),f233(f927(x98382,a918)))
% 202.84/202.78 [9839]~E(x98393,f179(f927(x98391,a918)))+E(f318(f318(f34(x98391,f927(x98392,a918)),x98393),f318(f318(f9(x98391,f927(x98392,a918),f927(x98392,a918)),f318(f318(f10(f927(x98392,a918),f927(f927(x98392,a918),f927(x98392,a918)),x98391),f3(f927(x98392,a918))),x98394)),x98395)),f233(f927(x98392,a918)))
% 202.84/202.78 [9860]E(x98601,f179(f927(x98602,a918)))+E(f318(f318(f33(x98602,f927(x98603,a918)),x98601),f318(f318(f9(x98602,f927(x98603,a918),f927(x98603,a918)),f318(f318(f10(f927(x98603,a918),f927(f927(x98603,a918),f927(x98603,a918)),x98602),f101(f927(x98603,a918))),x98604)),x98605)),f318(f318(f101(f927(x98603,a918)),f318(f318(f33(x98602,f927(x98603,a918)),x98601),x98604)),x98605))
% 202.84/202.78 [9861]E(x98611,f179(f927(x98612,a918)))+E(f318(f318(f34(x98612,f927(x98613,a918)),x98611),f318(f318(f9(x98612,f927(x98613,a918),f927(x98613,a918)),f318(f318(f10(f927(x98613,a918),f927(f927(x98613,a918),f927(x98613,a918)),x98612),f92(f927(x98613,a918))),x98614)),x98615)),f318(f318(f92(f927(x98613,a918)),f318(f318(f34(x98612,f927(x98613,a918)),x98611),x98614)),x98615))
% 202.84/202.78 [9862]E(x98621,f179(f927(x98622,a918)))+E(f318(f318(f34(x98622,f927(x98623,a918)),x98621),f318(f318(f9(x98622,f927(x98623,a918),f927(x98623,a918)),f318(f318(f10(f927(x98623,a918),f927(f927(x98623,a918),f927(x98623,a918)),x98622),f3(f927(x98623,a918))),x98624)),x98625)),f318(f318(f3(f927(x98623,a918)),f318(f318(f34(x98622,f927(x98623,a918)),x98621),x98624)),x98625))
% 202.84/202.78 [9417]~P1(f318(f318(f225(a920),x94171),x94174))+E(f318(f318(f3(a920),f318(f318(f73(a920),f318(f318(f74(a920),x94171),x94172)),x94173)),f318(f318(f73(a920),f318(f318(f74(a920),x94174),x94172)),x94175)),f318(f318(f3(a920),x94173),f318(f318(f73(a920),f318(f318(f74(a920),f318(f318(f3(a920),x94174),x94171)),x94172)),x94175)))
% 202.84/202.78 [10016]~P148(x100161)+E(f318(f156(x100161),f318(f318(f145(x100162,x100161),f318(f318(f9(x100162,x100161,x100161),f318(f318(f10(x100161,f927(x100161,x100161),x100162),f74(x100161)),x100163)),x100164)),x100165)),f318(f318(f74(x100161),f318(f156(x100161),f318(f318(f145(x100162,x100161),x100163),x100165))),x100164))
% 202.84/202.78 [10022]~P69(x100221)+E(f318(f156(x100221),f318(f318(f145(x100222,x100221),f318(f318(f20(x100222,x100221,x100221),f318(f318(f10(x100221,f927(x100221,x100221),x100222),f3(x100221)),x100223)),x100224)),x100225)),f318(f318(f3(x100221),f318(f156(x100221),f318(f318(f145(x100222,x100221),x100223),x100225))),f318(f156(x100221),f318(f318(f145(x100222,x100221),x100224),x100225))))
% 202.84/202.78 [10023]~P83(x100231)+E(f318(f156(x100231),f318(f318(f145(x100232,x100231),f318(f318(f20(x100232,x100231,x100231),f318(f318(f10(x100231,f927(x100231,x100231),x100232),f73(x100231)),x100233)),x100234)),x100235)),f318(f318(f73(x100231),f318(f156(x100231),f318(f318(f145(x100232,x100231),x100233),x100235))),f318(f156(x100231),f318(f318(f145(x100232,x100231),x100234),x100235))))
% 202.84/202.78 [10169]P1(f318(x101691,f318(f318(f172(x101692,x101693),x101694),x101695)))+~P1(f318(x101691,f318(f318(f172(x101692,x101693),f318(f318(f166(x101692),f318(f318(f223(a920),f318(f180(f921(x101692)),x101694)),f318(f180(f921(x101693)),x101695))),x101694)),f318(f318(f166(x101693),f318(f318(f223(a920),f318(f180(f921(x101692)),x101694)),f318(f180(f921(x101693)),x101695))),x101695))))
% 202.84/202.78 [10427]~P1(f318(f318(f320(f926(x104272,x104271)),f318(f318(f243(x104272,x104271),x104274),x104275)),f318(f277(x104271,x104272),x104273)))+P1(f318(f318(f234(x104271,x104272,f318(f318(f9(x104271,f927(f926(x104271,x104272),a918),f927(x104272,a918)),f318(f318(f10(f927(x104272,f927(f927(f926(x104271,x104272),a918),a918)),f927(f927(f926(x104271,x104272),a918),f927(x104272,a918)),x104271),f9(x104272,f927(f926(x104271,x104272),a918),a918)),f318(f318(f10(f927(x104272,f926(x104271,x104272)),f927(x104272,f927(f927(f926(x104271,x104272),a918),a918)),x104271),f318(f10(f926(x104271,x104272),f927(f927(f926(x104271,x104272),a918),a918),x104272),f320(f926(x104271,x104272)))),f243(x104271,x104272)))),x104273)),x104274),x104275))
% 202.84/202.78 [10439]P1(f318(f318(f320(f926(x104391,x104392)),f318(f318(f243(x104391,x104392),x104393),x104394)),f318(f277(x104392,x104391),x104395)))+~P1(f318(f318(f234(x104392,x104391,f318(f318(f9(x104392,f927(f926(x104392,x104391),a918),f927(x104391,a918)),f318(f318(f10(f927(x104391,f927(f927(f926(x104392,x104391),a918),a918)),f927(f927(f926(x104392,x104391),a918),f927(x104391,a918)),x104392),f9(x104391,f927(f926(x104392,x104391),a918),a918)),f318(f318(f10(f927(x104391,f926(x104392,x104391)),f927(x104391,f927(f927(f926(x104392,x104391),a918),a918)),x104392),f318(f10(f926(x104392,x104391),f927(f927(f926(x104392,x104391),a918),a918),x104391),f320(f926(x104392,x104391)))),f243(x104392,x104391)))),x104395)),x104393),x104394))
% 202.84/202.78 [9669]~P1(f318(f318(f225(a920),x96694),x96691))+E(f318(f318(f3(a920),f318(f318(f73(a920),f318(f318(f74(a920),x96691),x96692)),x96693)),f318(f318(f73(a920),f318(f318(f74(a920),x96694),x96692)),x96695)),f318(f318(f3(a920),f318(f318(f73(a920),f318(f318(f74(a920),f318(f318(f3(a920),x96691),x96694)),x96692)),x96693)),x96695))
% 202.84/202.78 [7462]E(x74621,x74622)+~E(f211(x74623,x74624,x74625,x74621),f211(x74623,x74624,x74626,x74622))
% 202.84/202.78 [7463]E(x74631,x74632)+~E(f211(x74633,x74634,x74631,x74635),f211(x74633,x74634,x74632,x74636))
% 202.84/202.78 [8584]~P20(x85845,x85841,x85842,x85846)+E(f318(f66(x85841,x85841,x85841,f318(x85842,x85843)),f318(x85842,x85844)),f318(f66(x85841,x85841,x85841,f318(x85842,x85844)),f318(x85842,x85843)))
% 202.84/202.78 [8824]~P60(x88244,x88245,x88242,x88241,x88246)+E(f318(x88241,f318(x88242,x88243)),x88243)
% 202.84/202.78 [8992]P25(x89921,x89922,x89923,x89924)+~P25(x89921,x89925,f318(f66(x89922,x89925,x89921,x89926),x89923),x89924)
% 202.84/202.78 [9065]~E(x90656,x90654)+E(f318(f68(x90651,x90652,x90653,x90654,x90655),x90656),x90655)
% 202.84/202.78 [9072]E(x90721,x90722)+E(f318(f68(x90723,x90724,x90725,x90722,x90726),x90721),f318(x90725,x90721))
% 202.84/202.78 [9084]~P25(x90844,x90842,f318(f66(x90841,x90842,x90844,x90843),x90845),x90846)+P25(x90841,x90842,x90843,f318(f301(x90844,x90841,x90845),x90846))
% 202.84/202.78 [9799]P1(f318(f55(x97991),x97992))+~P1(f318(f60(x97991,x97993,x97994,x97995,x97992),x97996))
% 202.84/202.78 [9808]~P1(f318(f318(f320(x98084),x98083),f288(x98084,x98081,x98085,x98082,x98086)))+P1(f318(f318(x98081,x98082),x98083))
% 202.84/202.78 [9809]~P1(f318(f318(f320(x98094),x98093),f291(x98094,x98095,x98091,x98092,x98096)))+P1(f318(f318(x98091,x98092),x98093))
% 202.84/202.78 [9810]~P1(f318(f318(f320(x98104),x98102),f288(x98104,x98105,x98101,x98106,x98103)))+P1(f318(f318(x98101,x98102),x98103))
% 202.84/202.78 [9811]~P1(f318(f318(f320(x98114),x98112),f291(x98114,x98111,x98115,x98116,x98113)))+P1(f318(f318(x98111,x98112),x98113))
% 202.84/202.78 [10319]P12(x103191,x103192,x103193,x103194,x103195,x103196)+~E(f318(f318(x103196,f849(x103193,x103196,x103195,x103192,x103194,x103191)),f859(x103193,x103196,x103195,x103192,x103194,x103191)),f318(f318(x103196,f850(x103193,x103196,x103195,x103192,x103194,x103191)),f858(x103193,x103196,x103195,x103192,x103194,x103191)))
% 202.84/202.78 [5926]E(x59261,x59262)+~E(f318(f318(f243(x59263,x59264),x59265),x59261),f318(f318(f243(x59263,x59264),x59266),x59262))
% 202.84/202.78 [5928]E(x59281,x59282)+~E(f318(f318(f243(x59283,x59284),x59281),x59285),f318(f318(f243(x59283,x59284),x59282),x59286))
% 202.84/202.78 [6066]~P17(x60665,x60666,x60661)+E(f318(f318(x60661,x60662),f318(f318(x60661,x60663),x60664)),f318(f318(x60661,x60663),f318(f318(x60661,x60662),x60664)))
% 202.84/202.78 [7526]~P34(x75264,x75261,f318(f318(f142(x75264),x75262),x75265),f318(f318(f142(x75264),x75263),x75266))+P1(f318(f318(x75261,x75262),x75263))
% 202.84/202.78 [7882]P34(x78821,x78822,x78823,x78824)+~P34(x78821,x78822,f318(f318(f142(x78821),x78825),x78823),f318(f318(f142(x78821),x78826),x78824))
% 202.84/202.78 [8928]~P60(x89285,x89281,x89282,x89286,x89284)+P1(f318(f318(f320(x89281),f318(x89282,x89283)),x89284))
% 202.84/202.78 [9134]~E(x91343,f318(f318(f142(x91341),x91345),x91346))+P1(f318(f318(f320(f926(f921(x91341),f921(x91341))),f318(f318(f243(f921(x91341),f921(x91341)),x91342),f318(f318(f125(x91341),x91342),x91343))),f138(x91341,x91344)))
% 202.84/202.78 [9371]~P36(x93711,x93712,x93713,x93715,x93716)+P36(x93711,x93712,x93713,f318(f318(f166(x93711),x93714),x93715),f318(f318(f166(x93712),x93714),x93716))
% 202.84/202.78 [9372]~P36(x93721,x93722,x93723,x93725,x93726)+P36(x93721,x93722,x93723,f318(f318(f129(x93721),x93724),x93725),f318(f318(f129(x93722),x93724),x93726))
% 202.84/202.78 [9635]E(f318(f301(x96351,x96352,f68(x96351,x96352,x96353,x96354,x96355)),x96356),f318(f301(x96351,x96352,x96353),x96356))+P1(f318(f318(f320(x96351),x96354),x96356))
% 202.84/202.78 [9638]E(f318(f318(f145(x96381,x96382),f68(x96381,x96382,x96383,x96384,x96385)),x96386),f318(f318(f145(x96381,x96382),x96383),x96386))+P1(f318(f318(f320(x96381),x96384),f318(f163(x96381),x96386)))
% 202.84/202.78 [9872]~P24(x98724,x98722,x98725,x98723,x98726,x98721)+E(f318(x98721,f179(f927(x98722,a918))),x98723)
% 202.84/202.78 [10111]~E(f318(x101114,f318(f242(x101111,x101113),x101115)),f318(x101116,f318(f242(x101111,x101113),x101115)))+E(f318(f249(x101111,x101112,x101113,x101113,x101114,f25(x101113)),x101115),f318(f249(x101111,x101112,x101113,x101113,x101116,f25(x101113)),x101115))
% 202.84/202.78 [10112]~E(f318(x101124,f318(f247(x101121,x101122),x101125)),f318(x101126,f318(f247(x101121,x101122),x101125)))+E(f318(f249(x101121,x101121,x101122,x101123,f25(x101121),x101124),x101125),f318(f249(x101121,x101121,x101122,x101123,f25(x101121),x101126),x101125))
% 202.84/202.78 [10165]~E(f318(f249(x101652,x101656,x101653,x101653,x101651,f25(x101653)),x101654),f318(f249(x101652,x101656,x101653,x101653,x101655,f25(x101653)),x101654))+E(f318(x101651,f318(f242(x101652,x101653),x101654)),f318(x101655,f318(f242(x101652,x101653),x101654)))
% 202.84/202.78 [10166]~E(f318(f249(x101662,x101662,x101663,x101666,f25(x101662),x101661),x101664),f318(f249(x101662,x101662,x101663,x101666,f25(x101662),x101665),x101664))+E(f318(x101661,f318(f247(x101662,x101663),x101664)),f318(x101665,f318(f247(x101662,x101663),x101664)))
% 202.84/202.78 [9032]P1(f318(f318(f320(x90321),x90322),x90323))+~P1(f318(f318(f320(f926(x90321,x90324)),f318(f318(f243(x90321,x90324),x90322),x90325)),f318(f318(f245(x90321,x90324),x90323),x90326)))
% 202.84/202.78 [9048]P1(f318(f318(f320(x90481),x90482),f318(x90483,x90484)))+~P1(f318(f318(f320(f926(x90485,x90481)),f318(f318(f243(x90485,x90481),x90484),x90482)),f318(f318(f245(x90485,x90481),x90486),x90483)))
% 202.84/202.78 [9490]P1(f318(f318(f320(f926(x94901,x94901)),f318(f318(f243(x94901,x94901),f318(x94902,x94903)),f318(x94902,x94904))),x94905))+~P1(f318(f318(f320(f926(x94906,x94906)),f318(f318(f243(x94906,x94906),x94903),x94904)),f318(f318(f279(x94901,x94906),x94905),x94902)))
% 202.84/202.78 [9510]~P1(f318(f318(f320(f926(x95104,x95104)),f318(f318(f243(x95104,x95104),f318(x95106,x95102)),f318(x95106,x95103))),x95105))+P1(f318(f318(f320(f926(x95101,x95101)),f318(f318(f243(x95101,x95101),x95102),x95103)),f318(f318(f279(x95104,x95101),x95105),x95106)))
% 202.84/202.78 [10168]E(f318(f318(f243(x101681,x101682),f652(x101683,x101684,x101685,x101686,x101682,x101681)),f653(x101683,x101684,x101685,x101686,x101682,x101681)),x101686)+~P1(f318(f318(f320(f926(x101681,x101682)),x101686),f318(f318(f280(x101681,x101685,x101682),x101684),x101683)))
% 202.84/202.78 [10384]~P1(f318(f318(f320(f926(x103841,x103846)),x103845),f318(f318(f280(x103841,x103842,x103846),x103844),x103843)))+P1(f318(f318(f320(f926(x103841,x103842)),f318(f318(f243(x103841,x103842),f652(x103843,x103844,x103842,x103845,x103846,x103841)),f654(x103843,x103844,x103842,x103845,x103846,x103841))),x103844))
% 202.84/202.78 [10385]~P1(f318(f318(f320(f926(x103856,x103852)),x103855),f318(f318(f280(x103856,x103851,x103852),x103854),x103853)))+P1(f318(f318(f320(f926(x103851,x103852)),f318(f318(f243(x103851,x103852),f654(x103853,x103854,x103851,x103855,x103852,x103856)),f653(x103853,x103854,x103851,x103855,x103852,x103856))),x103853))
% 202.84/202.78 [10386]P12(x103861,x103862,x103863,x103864,x103865,x103866)+P1(f318(f318(f320(f926(x103862,x103862)),f318(f318(f243(x103862,x103862),f858(x103863,x103866,x103865,x103862,x103864,x103861)),f859(x103863,x103866,x103865,x103862,x103864,x103861))),x103865))
% 202.84/202.78 [10387]P12(x103871,x103872,x103873,x103874,x103875,x103876)+P1(f318(f318(f320(f926(x103871,x103871)),f318(f318(f243(x103871,x103871),f850(x103873,x103876,x103875,x103872,x103874,x103871)),f849(x103873,x103876,x103875,x103872,x103874,x103871))),x103874))
% 202.84/202.78 [7952]~P5(x79522)+E(f318(f318(f33(x79521,x79522),x79523),f318(f318(f9(x79521,x79524,x79522),x79525),x79526)),f318(f318(f318(f33(x79521,f927(x79524,x79522)),x79523),x79525),x79526))
% 202.84/202.78 [7953]~P5(x79532)+E(f318(f318(f34(x79531,x79532),x79533),f318(f318(f9(x79531,x79534,x79532),x79535),x79536)),f318(f318(f318(f34(x79531,f927(x79534,x79532)),x79533),x79535),x79536))
% 202.84/202.78 [8733]E(f318(f318(f33(x87331,f927(x87332,a918)),x87333),f318(f318(f10(f927(x87332,a918),f927(x87332,a918),x87331),f318(f300(x87332),x87334)),x87335)),f318(f318(f300(x87332),x87334),f318(f318(f33(x87331,f927(x87332,a918)),x87333),x87335)))+~P1(f318(f318(f320(x87331),x87336),x87333))
% 202.84/202.78 [9188]~P5(x91882)+E(f318(f318(f33(x91881,x91882),x91883),f318(f318(f10(f927(x91884,x91882),x91882,x91881),f318(f33(x91884,x91882),x91885)),f318(f9(x91884,x91881,x91882),x91886))),f318(f318(f33(x91884,x91882),x91885),f318(f318(f10(f927(x91881,x91882),x91882,x91884),f318(f33(x91881,x91882),x91883)),x91886)))
% 202.84/202.78 [9189]~P5(x91892)+E(f318(f318(f34(x91891,x91892),x91893),f318(f318(f10(f927(x91894,x91892),x91892,x91891),f318(f34(x91894,x91892),x91895)),f318(f9(x91894,x91891,x91892),x91896))),f318(f318(f34(x91894,x91892),x91895),f318(f318(f10(f927(x91891,x91892),x91892,x91894),f318(f34(x91891,x91892),x91893)),x91896)))
% 202.84/202.78 [9397]P1(f318(f318(f320(x93971),x93972),f318(f163(x93971),x93973)))+~P1(f318(f318(f320(f926(x93974,x93971)),f318(f318(f243(x93974,x93971),x93975),x93972)),f318(f163(f926(x93974,x93971)),f318(f318(f172(x93974,x93971),x93976),x93973))))
% 202.84/202.78 [9398]P1(f318(f318(f320(x93981),x93982),f318(f163(x93981),x93983)))+~P1(f318(f318(f320(f926(x93981,x93984)),f318(f318(f243(x93981,x93984),x93982),x93985)),f318(f163(f926(x93981,x93984)),f318(f318(f172(x93981,x93984),x93983),x93986))))
% 202.84/202.78 [9506]P1(f318(f318(f225(f927(x95061,a918)),f318(f276(x95062,x95061,x95063),x95064)),x95065))+~P1(f318(f318(f225(f927(f926(x95062,x95061),a918)),x95063),f318(f318(f245(x95062,x95061),x95066),f318(f18(f927(x95061,a918),x95062),x95065))))
% 202.84/202.78 [9511]~P26(x95114,x95112,x95115,f233(f927(x95114,a918)),f233(f927(x95112,a918)))+E(f318(f318(f34(x95111,f927(x95112,a918)),x95113),f318(f318(f10(f927(x95114,a918),f927(x95112,a918),x95111),f301(x95114,x95112,x95115)),x95116)),f318(f301(x95114,x95112,x95115),f318(f318(f34(x95111,f927(x95114,a918)),x95113),x95116)))
% 202.84/202.78 [9703]P1(f318(f318(f320(f926(f921(x97031),f921(x97031))),f318(f318(f243(f921(x97031),f921(x97031)),f318(f318(f142(x97031),x97032),x97033)),f318(f318(f142(x97031),x97034),x97035))),f138(x97031,x97036)))+~P1(f318(f318(f320(f926(x97031,x97031)),f318(f318(f243(x97031,x97031),x97032),x97034)),x97036))
% 202.84/202.78 [10164]E(f318(f318(f243(x101641,x101642),f594(x101643,x101644,x101645,x101642,x101641,x101646)),f597(x101643,x101644,x101645,x101642,x101641,x101646)),x101646)+P1(f318(f318(f320(x101645),x101644),f318(f318(f248(x101641,x101642,f927(x101645,a918)),x101643),x101646)))
% 202.84/202.78 [10170]E(f318(f318(f243(x101701,x101702),f595(x101703,x101704,x101702,x101701,x101705,x101706)),f596(x101703,x101704,x101702,x101701,x101705,x101706)),x101703)+~P1(f318(f318(f320(x101706),x101705),f318(f318(f248(x101701,x101702,f927(x101706,a918)),x101704),x101703)))
% 202.84/202.78 [10332]P1(f318(f318(f320(x103321),x103322),f318(f318(x103323,f595(x103324,x103323,x103325,x103326,x103322,x103321)),f596(x103324,x103323,x103325,x103326,x103322,x103321))))+~P1(f318(f318(f320(x103321),x103322),f318(f318(f248(x103326,x103325,f927(x103321,a918)),x103323),x103324)))
% 202.84/202.78 [10357]~P1(f318(f318(f320(x103571),x103572),f318(f318(x103575,f594(x103575,x103572,x103571,x103574,x103573,x103576)),f597(x103575,x103572,x103571,x103574,x103573,x103576))))+P1(f318(f318(f320(x103571),x103572),f318(f318(f248(x103573,x103574,f927(x103571,a918)),x103575),x103576)))
% 202.84/202.78 [8630]E(x86301,x86302)+E(f318(f318(f150(x86303,f318(f318(f150(x86303,x86304),x86301),x86305)),x86302),x86306),f318(f318(f150(x86303,f318(f318(f150(x86303,x86304),x86302),x86306)),x86301),x86305))
% 202.84/202.78 [9763]~P1(f318(f318(f320(x97633),x97636),x97635))+E(f318(f318(f300(x97631),x97632),f318(f301(x97633,x97631,x97634),f318(f318(f3(f927(x97633,a918)),x97635),f318(f318(f300(x97633),x97636),f179(f927(x97633,a918)))))),f318(f301(x97633,x97631,f68(x97633,x97631,x97634,x97636,x97632)),x97635))
% 202.84/202.78 [9268]~P1(f318(f318(x92684,x92685),x92686))+P1(f318(f318(f318(f318(f101(f927(x92681,f927(x92682,a918))),x92683),x92684),x92685),x92686))
% 202.84/202.78 [9270]~P1(f318(f318(x92703,x92705),x92706))+P1(f318(f318(f318(f318(f101(f927(x92701,f927(x92702,a918))),x92703),x92704),x92705),x92706))
% 202.84/202.78 [9562]P1(f318(f318(x95621,x95622),x95623))+~P1(f318(f318(f318(f318(f92(f927(x95624,f927(x95625,a918))),x95626),x95621),x95622),x95623))
% 202.84/202.78 [9563]P1(f318(f318(x95631,x95632),x95633))+~P1(f318(f318(f318(f318(f92(f927(x95634,f927(x95635,a918))),x95631),x95636),x95632),x95633))
% 202.84/202.78 [10004]~P84(x100042)+E(f318(f318(f11(x100041,x100042),f318(f318(f9(x100041,f927(x100043,a918),x100042),f318(f318(f10(f927(x100043,x100042),f927(f927(x100043,a918),x100042),x100041),f11(x100043,x100042)),x100044)),x100045)),x100046),f318(f318(f11(f926(x100041,x100043),x100042),f318(f248(x100041,x100043,x100042),x100044)),f318(f318(f245(x100041,x100043),x100046),f318(f18(f927(x100043,a918),x100041),x100045))))
% 202.84/202.78 [10005]~P83(x100052)+E(f318(f318(f8(x100051,x100052),f318(f318(f9(x100051,f927(x100053,a918),x100052),f318(f318(f10(f927(x100053,x100052),f927(f927(x100053,a918),x100052),x100051),f8(x100053,x100052)),x100054)),x100055)),x100056),f318(f318(f8(f926(x100051,x100053),x100052),f318(f248(x100051,x100053,x100052),x100054)),f318(f318(f245(x100051,x100053),x100056),f318(f18(f927(x100053,a918),x100051),x100055))))
% 202.84/202.78 [10136]~P83(x101362)+E(f318(f318(f8(x101361,x101362),f318(f318(f9(x101361,f927(x101363,a918),x101362),f318(f318(f10(f927(x101363,x101362),f927(f927(x101363,a918),x101362),x101361),f8(x101363,x101362)),f318(f9(x101363,x101361,x101362),x101364))),x101365)),x101366),f318(f318(f8(x101363,x101362),f318(f318(f9(x101363,f927(x101361,a918),x101362),f318(f318(f10(f927(x101361,x101362),f927(f927(x101361,a918),x101362),x101363),f8(x101361,x101362)),x101364)),x101366)),x101365))
% 202.84/202.78 [10451]~P1(f318(f318(f320(f926(x104511,x104512)),f318(f318(f243(x104511,x104512),x104515),x104516)),f318(f318(f92(f927(f926(x104511,x104512),a918)),x104513),x104514)))+P1(f318(f318(f318(f318(f92(f927(x104511,f927(x104512,a918))),f318(f318(f9(x104511,f927(f926(x104511,x104512),a918),f927(x104512,a918)),f318(f318(f10(f927(x104512,f927(f927(f926(x104511,x104512),a918),a918)),f927(f927(f926(x104511,x104512),a918),f927(x104512,a918)),x104511),f9(x104512,f927(f926(x104511,x104512),a918),a918)),f318(f318(f10(f927(x104512,f926(x104511,x104512)),f927(x104512,f927(f927(f926(x104511,x104512),a918),a918)),x104511),f318(f10(f926(x104511,x104512),f927(f927(f926(x104511,x104512),a918),a918),x104512),f320(f926(x104511,x104512)))),f243(x104511,x104512)))),x104513)),f318(f318(f9(x104511,f927(f926(x104511,x104512),a918),f927(x104512,a918)),f318(f318(f10(f927(x104512,f927(f927(f926(x104511,x104512),a918),a918)),f927(f927(f926(x104511,x104512),a918),f927(x104512,a918)),x104511),f9(x104512,f927(f926(x104511,x104512),a918),a918)),f318(f318(f10(f927(x104512,f926(x104511,x104512)),f927(x104512,f927(f927(f926(x104511,x104512),a918),a918)),x104511),f318(f10(f926(x104511,x104512),f927(f927(f926(x104511,x104512),a918),a918),x104512),f320(f926(x104511,x104512)))),f243(x104511,x104512)))),x104514)),x104515),x104516))
% 202.84/202.78 [10452]~P1(f318(f318(f320(f926(x104521,x104522)),f318(f318(f243(x104521,x104522),x104525),x104526)),f318(f318(f101(f927(f926(x104521,x104522),a918)),x104523),x104524)))+P1(f318(f318(f318(f318(f101(f927(x104521,f927(x104522,a918))),f318(f318(f9(x104521,f927(f926(x104521,x104522),a918),f927(x104522,a918)),f318(f318(f10(f927(x104522,f927(f927(f926(x104521,x104522),a918),a918)),f927(f927(f926(x104521,x104522),a918),f927(x104522,a918)),x104521),f9(x104522,f927(f926(x104521,x104522),a918),a918)),f318(f318(f10(f927(x104522,f926(x104521,x104522)),f927(x104522,f927(f927(f926(x104521,x104522),a918),a918)),x104521),f318(f10(f926(x104521,x104522),f927(f927(f926(x104521,x104522),a918),a918),x104522),f320(f926(x104521,x104522)))),f243(x104521,x104522)))),x104523)),f318(f318(f9(x104521,f927(f926(x104521,x104522),a918),f927(x104522,a918)),f318(f318(f10(f927(x104522,f927(f927(f926(x104521,x104522),a918),a918)),f927(f927(f926(x104521,x104522),a918),f927(x104522,a918)),x104521),f9(x104522,f927(f926(x104521,x104522),a918),a918)),f318(f318(f10(f927(x104522,f926(x104521,x104522)),f927(x104522,f927(f927(f926(x104521,x104522),a918),a918)),x104521),f318(f10(f926(x104521,x104522),f927(f927(f926(x104521,x104522),a918),a918),x104522),f320(f926(x104521,x104522)))),f243(x104521,x104522)))),x104524)),x104525),x104526))
% 202.84/202.78 [10462]P1(f318(f318(f320(f926(x104621,x104622)),f318(f318(f243(x104621,x104622),x104623),x104624)),f318(f318(f92(f927(f926(x104621,x104622),a918)),x104625),x104626)))+~P1(f318(f318(f318(f318(f92(f927(x104621,f927(x104622,a918))),f318(f318(f9(x104621,f927(f926(x104621,x104622),a918),f927(x104622,a918)),f318(f318(f10(f927(x104622,f927(f927(f926(x104621,x104622),a918),a918)),f927(f927(f926(x104621,x104622),a918),f927(x104622,a918)),x104621),f9(x104622,f927(f926(x104621,x104622),a918),a918)),f318(f318(f10(f927(x104622,f926(x104621,x104622)),f927(x104622,f927(f927(f926(x104621,x104622),a918),a918)),x104621),f318(f10(f926(x104621,x104622),f927(f927(f926(x104621,x104622),a918),a918),x104622),f320(f926(x104621,x104622)))),f243(x104621,x104622)))),x104625)),f318(f318(f9(x104621,f927(f926(x104621,x104622),a918),f927(x104622,a918)),f318(f318(f10(f927(x104622,f927(f927(f926(x104621,x104622),a918),a918)),f927(f927(f926(x104621,x104622),a918),f927(x104622,a918)),x104621),f9(x104622,f927(f926(x104621,x104622),a918),a918)),f318(f318(f10(f927(x104622,f926(x104621,x104622)),f927(x104622,f927(f927(f926(x104621,x104622),a918),a918)),x104621),f318(f10(f926(x104621,x104622),f927(f927(f926(x104621,x104622),a918),a918),x104622),f320(f926(x104621,x104622)))),f243(x104621,x104622)))),x104626)),x104623),x104624))
% 202.84/202.78 [10463]P1(f318(f318(f320(f926(x104631,x104632)),f318(f318(f243(x104631,x104632),x104633),x104634)),f318(f318(f101(f927(f926(x104631,x104632),a918)),x104635),x104636)))+~P1(f318(f318(f318(f318(f101(f927(x104631,f927(x104632,a918))),f318(f318(f9(x104631,f927(f926(x104631,x104632),a918),f927(x104632,a918)),f318(f318(f10(f927(x104632,f927(f927(f926(x104631,x104632),a918),a918)),f927(f927(f926(x104631,x104632),a918),f927(x104632,a918)),x104631),f9(x104632,f927(f926(x104631,x104632),a918),a918)),f318(f318(f10(f927(x104632,f926(x104631,x104632)),f927(x104632,f927(f927(f926(x104631,x104632),a918),a918)),x104631),f318(f10(f926(x104631,x104632),f927(f927(f926(x104631,x104632),a918),a918),x104632),f320(f926(x104631,x104632)))),f243(x104631,x104632)))),x104635)),f318(f318(f9(x104631,f927(f926(x104631,x104632),a918),f927(x104632,a918)),f318(f318(f10(f927(x104632,f927(f927(f926(x104631,x104632),a918),a918)),f927(f927(f926(x104631,x104632),a918),f927(x104632,a918)),x104631),f9(x104632,f927(f926(x104631,x104632),a918),a918)),f318(f318(f10(f927(x104632,f926(x104631,x104632)),f927(x104632,f927(f927(f926(x104631,x104632),a918),a918)),x104631),f318(f10(f926(x104631,x104632),f927(f927(f926(x104631,x104632),a918),a918),x104632),f320(f926(x104631,x104632)))),f243(x104631,x104632)))),x104636)),x104633),x104634))
% 202.84/202.78 [10445]~P1(f318(f318(f320(f926(x104452,x104453)),f318(f318(f243(x104452,x104453),x104455),x104456)),f318(f318(f33(x104451,f927(f926(x104452,x104453),a918)),f233(f927(x104451,a918))),x104454)))+P1(f318(f318(f318(f318(f33(x104451,f927(x104452,f927(x104453,a918))),f233(f927(x104451,a918))),f318(f318(f10(f927(f926(x104452,x104453),a918),f927(x104452,f927(x104453,a918)),x104451),f318(f9(x104452,f927(f926(x104452,x104453),a918),f927(x104453,a918)),f318(f318(f10(f927(x104453,f927(f927(f926(x104452,x104453),a918),a918)),f927(f927(f926(x104452,x104453),a918),f927(x104453,a918)),x104452),f9(x104453,f927(f926(x104452,x104453),a918),a918)),f318(f318(f10(f927(x104453,f926(x104452,x104453)),f927(x104453,f927(f927(f926(x104452,x104453),a918),a918)),x104452),f318(f10(f926(x104452,x104453),f927(f927(f926(x104452,x104453),a918),a918),x104453),f320(f926(x104452,x104453)))),f243(x104452,x104453))))),x104454)),x104455),x104456))
% 202.84/202.78 [10446]~P1(f318(f318(f320(f926(x104462,x104463)),f318(f318(f243(x104462,x104463),x104465),x104466)),f318(f318(f34(x104461,f927(f926(x104462,x104463),a918)),f233(f927(x104461,a918))),x104464)))+P1(f318(f318(f318(f318(f34(x104461,f927(x104462,f927(x104463,a918))),f233(f927(x104461,a918))),f318(f318(f10(f927(f926(x104462,x104463),a918),f927(x104462,f927(x104463,a918)),x104461),f318(f9(x104462,f927(f926(x104462,x104463),a918),f927(x104463,a918)),f318(f318(f10(f927(x104463,f927(f927(f926(x104462,x104463),a918),a918)),f927(f927(f926(x104462,x104463),a918),f927(x104463,a918)),x104462),f9(x104463,f927(f926(x104462,x104463),a918),a918)),f318(f318(f10(f927(x104463,f926(x104462,x104463)),f927(x104463,f927(f927(f926(x104462,x104463),a918),a918)),x104462),f318(f10(f926(x104462,x104463),f927(f927(f926(x104462,x104463),a918),a918),x104463),f320(f926(x104462,x104463)))),f243(x104462,x104463))))),x104464)),x104465),x104466))
% 202.84/202.78 [10456]P1(f318(f318(f320(f926(x104561,x104562)),f318(f318(f243(x104561,x104562),x104563),x104564)),f318(f318(f33(x104565,f927(f926(x104561,x104562),a918)),f233(f927(x104565,a918))),x104566)))+~P1(f318(f318(f318(f318(f33(x104565,f927(x104561,f927(x104562,a918))),f233(f927(x104565,a918))),f318(f318(f10(f927(f926(x104561,x104562),a918),f927(x104561,f927(x104562,a918)),x104565),f318(f9(x104561,f927(f926(x104561,x104562),a918),f927(x104562,a918)),f318(f318(f10(f927(x104562,f927(f927(f926(x104561,x104562),a918),a918)),f927(f927(f926(x104561,x104562),a918),f927(x104562,a918)),x104561),f9(x104562,f927(f926(x104561,x104562),a918),a918)),f318(f318(f10(f927(x104562,f926(x104561,x104562)),f927(x104562,f927(f927(f926(x104561,x104562),a918),a918)),x104561),f318(f10(f926(x104561,x104562),f927(f927(f926(x104561,x104562),a918),a918),x104562),f320(f926(x104561,x104562)))),f243(x104561,x104562))))),x104566)),x104563),x104564))
% 202.84/202.78 [10457]P1(f318(f318(f320(f926(x104571,x104572)),f318(f318(f243(x104571,x104572),x104573),x104574)),f318(f318(f34(x104575,f927(f926(x104571,x104572),a918)),f233(f927(x104575,a918))),x104576)))+~P1(f318(f318(f318(f318(f34(x104575,f927(x104571,f927(x104572,a918))),f233(f927(x104575,a918))),f318(f318(f10(f927(f926(x104571,x104572),a918),f927(x104571,f927(x104572,a918)),x104575),f318(f9(x104571,f927(f926(x104571,x104572),a918),f927(x104572,a918)),f318(f318(f10(f927(x104572,f927(f927(f926(x104571,x104572),a918),a918)),f927(f927(f926(x104571,x104572),a918),f927(x104572,a918)),x104571),f9(x104572,f927(f926(x104571,x104572),a918),a918)),f318(f318(f10(f927(x104572,f926(x104571,x104572)),f927(x104572,f927(f927(f926(x104571,x104572),a918),a918)),x104571),f318(f10(f926(x104571,x104572),f927(f927(f926(x104571,x104572),a918),a918),x104572),f320(f926(x104571,x104572)))),f243(x104571,x104572))))),x104576)),x104573),x104574))
% 202.84/202.78 [7630]E(f318(x76301,f318(x76302,x76303)),f318(x76304,x76303))+~E(f318(f66(x76305,x76306,x76307,x76301),x76302),x76304)
% 202.84/202.78 [9779]E(x97791,x97792)+E(f68(x97793,x97794,f68(x97793,x97794,x97795,x97791,x97796),x97792,x97797),f68(x97793,x97794,f68(x97793,x97794,x97795,x97792,x97797),x97791,x97796))
% 202.84/202.78 [9871]~P23(x98713,x98714,x98711,x98715,x98716,x98717)+E(f318(f318(x98711,x98712),x98712),x98712)
% 202.84/202.78 [6172]~E(f318(f318(f145(x61721,x61725),x61726),x61722),f318(f318(f145(x61723,x61725),x61727),x61724))+E(f318(f180(f921(x61721)),x61722),f318(f180(f921(x61723)),x61724))
% 202.84/202.78 [8663]E(f318(x86631,f318(x86632,x86633)),f318(x86634,x86633))+~E(f318(f66(x86635,x86636,x86637,x86631),x86632),f318(f66(x86636,x86636,x86637,f25(x86636)),x86634))
% 202.84/202.78 [9021]~P36(x90214,x90215,x90211,f318(f318(f142(x90214),x90212),x90216),f318(f318(f142(x90215),x90213),x90217))+P1(f318(f318(x90211,x90212),x90213))
% 202.84/202.78 [9404]P36(x94041,x94042,x94043,x94044,x94045)+~P36(x94041,x94042,x94043,f318(f318(f142(x94041),x94046),x94044),f318(f318(f142(x94042),x94047),x94045))
% 202.84/202.78 [10037]P1(f318(f318(x100371,x100372),f574(x100373,x100372,x100374,x100371)))+~P1(f318(f318(f244(x100375,x100376,x100377,x100371,x100374),x100372),x100373))
% 202.84/202.78 [10061]P1(f318(f318(x100611,f574(x100612,x100613,x100611,x100614)),x100612))+~P1(f318(f318(f244(x100615,x100616,x100617,x100614,x100611),x100613),x100612))
% 202.84/202.78 [9141]~P21(x91416,x91411,x91413,x91417)+E(f318(f66(x91411,x91411,x91412,f318(x91413,x91414)),f318(f66(x91411,x91411,x91412,f318(x91413,x91414)),x91415)),f318(f66(x91411,x91411,x91412,f318(x91413,x91414)),x91415))
% 202.84/202.78 [9514]~P36(x95143,x95142,x95144,f318(f318(f145(x95141,x95143),x95145),x95146),x95147)+P36(x95141,x95142,f318(f318(f10(x95143,f927(x95142,a918),x95141),x95144),x95145),x95146,x95147)
% 202.84/202.78 [9538]P36(x95381,x95382,x95383,f318(f318(f145(x95384,x95381),x95385),x95386),x95387)+~P36(x95384,x95382,f318(f318(f10(x95381,f927(x95382,a918),x95384),x95383),x95385),x95386,x95387)
% 202.84/202.78 [9140]~P1(f318(f318(f320(x91401),x91402),f318(f318(x91405,x91406),x91407)))+P1(f318(f318(f320(x91401),x91402),f318(f318(f248(x91403,x91404,f927(x91401,a918)),x91405),f318(f318(f243(x91403,x91404),x91406),x91407))))
% 202.84/202.78 [9429]P1(f318(f318(f318(x94291,x94292),x94293),x94294))+~P1(f318(f318(f318(f248(x94295,x94296,f927(x94297,a918)),x94291),f318(f318(f243(x94295,x94296),x94292),x94293)),x94294))
% 202.84/202.78 [9577]P1(f318(f318(f320(x95771),f318(f318(x95772,x95773),x95774)),f318(f301(f926(x95775,x95776),x95771,f318(f248(x95775,x95776,x95771),x95772)),x95777)))+~P1(f318(f318(f320(f926(x95775,x95776)),f318(f318(f243(x95775,x95776),x95773),x95774)),x95777))
% 202.84/202.78 [9920]P1(f318(f318(f320(f926(f921(x99201),f921(x99201))),f318(f318(f243(f921(x99201),f921(x99201)),f318(f318(f125(x99201),x99202),f318(f318(f142(x99201),x99203),x99204))),f318(f318(f125(x99201),x99202),f318(f318(f142(x99201),x99205),x99206)))),f138(x99201,x99207)))+~P1(f318(f318(f320(f926(x99201,x99201)),f318(f318(f243(x99201,x99201),x99203),x99205)),x99207))
% 202.84/202.78 [9986]~P36(x99861,x99863,x99864,x99866,f318(f318(f145(x99862,x99863),x99865),x99867))+P36(x99861,x99862,f318(f318(f9(x99861,f927(x99862,x99863),f927(x99862,a918)),f318(f318(f10(f927(x99863,a918),f927(f927(x99862,x99863),f927(x99862,a918)),x99861),f10(x99863,a918,x99862)),x99864)),x99865),x99866,x99867)
% 202.84/202.78 [10065]P36(x100651,x100652,x100653,x100654,f318(f318(f145(x100655,x100652),x100656),x100657))+~P36(x100651,x100655,f318(f318(f9(x100651,f927(x100655,x100652),f927(x100655,a918)),f318(f318(f10(f927(x100652,a918),f927(f927(x100655,x100652),f927(x100655,a918)),x100651),f10(x100652,a918,x100655)),x100653)),x100656),x100654,x100657)
% 202.84/202.78 [10371]P1(f318(f318(f320(x103711),f489(x103712,x103713,x103714,x103715,x103716,x103717,x103711)),x103715))+P1(f318(f318(f318(f318(f34(x103711,f927(x103717,f927(x103716,a918))),x103715),x103714),x103713),x103712))
% 202.84/202.78 [10372]P1(f318(f318(f320(x103721),f789(x103722,x103723,x103724,x103725,x103726,x103727,x103721)),x103727))+P1(f318(f318(f318(f318(f34(x103721,f927(x103723,f927(x103722,a918))),x103727),x103726),x103725),x103724))
% 202.84/202.78 [10373]P1(f318(f318(f320(x103731),f492(x103732,x103733,x103734,x103735,x103736,x103737,x103731)),x103735))+~P1(f318(f318(f318(f318(f33(x103731,f927(x103737,f927(x103736,a918))),x103735),x103734),x103733),x103732))
% 202.84/202.78 [10374]P1(f318(f318(f320(x103741),f790(x103742,x103743,x103744,x103745,x103746,x103747,x103741)),x103745))+~P1(f318(f318(f318(f318(f33(x103741,f927(x103747,f927(x103746,a918))),x103745),x103744),x103743),x103742))
% 202.84/202.78 [10408]P1(f318(f318(f318(x104081,f492(x104082,x104083,x104081,x104084,x104085,x104086,x104087)),x104083),x104082))+~P1(f318(f318(f318(f318(f33(x104087,f927(x104086,f927(x104085,a918))),x104084),x104081),x104083),x104082))
% 202.84/202.78 [10409]P1(f318(f318(f318(x104091,f790(x104092,x104093,x104091,x104094,x104095,x104096,x104097)),x104093),x104092))+~P1(f318(f318(f318(f318(f33(x104097,f927(x104096,f927(x104095,a918))),x104094),x104091),x104093),x104092))
% 202.84/202.78 [10424]~P1(f318(f318(f318(x104245,f489(x104247,x104246,x104245,x104244,x104243,x104242,x104241)),x104246),x104247))+P1(f318(f318(f318(f318(f34(x104241,f927(x104242,f927(x104243,a918))),x104244),x104245),x104246),x104247))
% 202.84/202.78 [10425]~P1(f318(f318(f318(x104255,f789(x104253,x104252,x104257,x104256,x104255,x104254,x104251)),x104256),x104257))+P1(f318(f318(f318(f318(f34(x104251,f927(x104252,f927(x104253,a918))),x104254),x104255),x104256),x104257))
% 202.84/202.78 [10444]~P1(f318(f318(f320(f926(x104441,x104443)),f318(f318(f243(x104441,x104443),x104446),x104447)),f318(f318(f280(x104441,x104442,x104443),x104444),x104445)))+P1(f318(f318(f244(x104441,x104442,x104443,f318(f318(f9(x104441,f927(f926(x104441,x104442),a918),f927(x104442,a918)),f318(f318(f10(f927(x104442,f927(f927(f926(x104441,x104442),a918),a918)),f927(f927(f926(x104441,x104442),a918),f927(x104442,a918)),x104441),f9(x104442,f927(f926(x104441,x104442),a918),a918)),f318(f318(f10(f927(x104442,f926(x104441,x104442)),f927(x104442,f927(f927(f926(x104441,x104442),a918),a918)),x104441),f318(f10(f926(x104441,x104442),f927(f927(f926(x104441,x104442),a918),a918),x104442),f320(f926(x104441,x104442)))),f243(x104441,x104442)))),x104444),f318(f318(f9(x104442,f927(f926(x104442,x104443),a918),f927(x104443,a918)),f318(f318(f10(f927(x104443,f927(f927(f926(x104442,x104443),a918),a918)),f927(f927(f926(x104442,x104443),a918),f927(x104443,a918)),x104442),f9(x104443,f927(f926(x104442,x104443),a918),a918)),f318(f318(f10(f927(x104443,f926(x104442,x104443)),f927(x104443,f927(f927(f926(x104442,x104443),a918),a918)),x104442),f318(f10(f926(x104442,x104443),f927(f927(f926(x104442,x104443),a918),a918),x104443),f320(f926(x104442,x104443)))),f243(x104442,x104443)))),x104445)),x104446),x104447))
% 202.84/202.78 [10455]P1(f318(f318(f320(f926(x104551,x104552)),f318(f318(f243(x104551,x104552),x104553),x104554)),f318(f318(f280(x104551,x104555,x104552),x104556),x104557)))+~P1(f318(f318(f244(x104551,x104555,x104552,f318(f318(f9(x104551,f927(f926(x104551,x104555),a918),f927(x104555,a918)),f318(f318(f10(f927(x104555,f927(f927(f926(x104551,x104555),a918),a918)),f927(f927(f926(x104551,x104555),a918),f927(x104555,a918)),x104551),f9(x104555,f927(f926(x104551,x104555),a918),a918)),f318(f318(f10(f927(x104555,f926(x104551,x104555)),f927(x104555,f927(f927(f926(x104551,x104555),a918),a918)),x104551),f318(f10(f926(x104551,x104555),f927(f927(f926(x104551,x104555),a918),a918),x104555),f320(f926(x104551,x104555)))),f243(x104551,x104555)))),x104556),f318(f318(f9(x104555,f927(f926(x104555,x104552),a918),f927(x104552,a918)),f318(f318(f10(f927(x104552,f927(f927(f926(x104555,x104552),a918),a918)),f927(f927(f926(x104555,x104552),a918),f927(x104552,a918)),x104555),f9(x104552,f927(f926(x104555,x104552),a918),a918)),f318(f318(f10(f927(x104552,f926(x104555,x104552)),f927(x104552,f927(f927(f926(x104555,x104552),a918),a918)),x104555),f318(f10(f926(x104555,x104552),f927(f927(f926(x104555,x104552),a918),a918),x104552),f320(f926(x104555,x104552)))),f243(x104555,x104552)))),x104557)),x104553),x104554))
% 202.84/202.78 [10383]~P148(x103832)+E(f318(f318(f8(x103831,x103832),f318(f318(f9(x103831,f927(x103833,a918),x103832),f318(f318(f10(f927(x103833,x103832),f927(f927(x103833,a918),x103832),x103831),f8(x103833,x103832)),f318(f318(f9(x103831,f927(x103833,x103832),f927(x103833,x103832)),f318(f318(f10(f927(x103832,x103832),f927(f927(x103833,x103832),f927(x103833,x103832)),x103831),f10(x103832,x103832,x103833)),f318(f318(f10(x103832,f927(x103832,x103832),x103831),f74(x103832)),x103834))),x103835))),x103836)),x103837),f318(f318(f74(x103832),f318(f318(f8(x103831,x103832),x103834),x103837)),f318(f318(f8(x103833,x103832),x103835),x103836)))
% 202.84/202.78 [9462]~P20(x94627,x94621,x94623,x94628)+E(f318(f66(x94621,x94621,x94622,f318(x94623,x94624)),f318(f66(x94621,x94621,x94622,f318(x94623,x94625)),x94626)),f318(f66(x94621,x94621,x94622,f318(x94623,x94625)),f318(f66(x94621,x94621,x94622,f318(x94623,x94624)),x94626)))
% 202.84/202.78 [10449]E(f318(f318(f243(x104491,x104492),f318(x104493,f571(x104494,x104495,x104493,x104496,x104497,x104498,x104492,x104491))),f318(x104495,f572(x104494,x104495,x104493,x104496,x104497,x104498,x104492,x104491))),x104498)+~P1(f318(f318(f320(f926(x104491,x104492)),x104498),f318(f301(f926(x104497,x104496),f926(x104491,x104492),f249(x104497,x104491,x104496,x104492,x104493,x104495)),x104494)))
% 202.84/202.78 [10468]~P1(f318(f318(f320(f926(x104688,x104687)),x104686),f318(f301(f926(x104681,x104682),f926(x104688,x104687),f249(x104681,x104688,x104682,x104687,x104685,x104684)),x104683)))+P1(f318(f318(f320(f926(x104681,x104682)),f318(f318(f243(x104681,x104682),f571(x104683,x104684,x104685,x104682,x104681,x104686,x104687,x104688)),f572(x104683,x104684,x104685,x104682,x104681,x104686,x104687,x104688))),x104683))
% 202.84/202.78 [9909]P1(f318(f318(f320(f926(f926(x99091,x99092),f926(x99091,x99092))),f318(f318(f243(f926(x99091,x99092),f926(x99091,x99092)),f318(f318(f243(x99091,x99092),x99093),x99094)),f318(f318(f243(x99091,x99092),x99095),x99096))),f311(x99091,x99092,x99097,x99098)))+~P1(f318(f318(f320(f926(x99091,x99091)),f318(f318(f243(x99091,x99091),x99093),x99095)),x99097))
% 202.84/202.78 [10438]E(f318(f133(x104381,x104382,f318(f9(x104382,x104381,x104381),x104383),f318(x104384,x104385)),x104386),f318(x104384,f318(f133(x104387,x104382,f318(f9(x104382,x104387,x104387),x104388),x104385),x104386)))+P1(f318(f318(f320(x104382),f737(x104385,x104388,x104384,x104383,x104387,x104381,x104386,x104382)),f318(f163(x104382),x104386)))
% 202.84/202.78 [10458]~E(f318(f66(x104581,x104581,x104587,f318(x104583,f737(x104585,x104588,x104584,x104583,x104587,x104581,x104586,x104582))),x104584),f318(f66(x104587,x104581,x104587,x104584),f318(x104588,f737(x104585,x104588,x104584,x104583,x104587,x104581,x104586,x104582))))+E(f318(f133(x104581,x104582,f318(f9(x104582,x104581,x104581),x104583),f318(x104584,x104585)),x104586),f318(x104584,f318(f133(x104587,x104582,f318(f9(x104582,x104587,x104587),x104588),x104585),x104586)))
% 202.84/202.78 [8668]E(f318(x86681,f318(x86682,x86683)),f318(x86684,f318(x86685,x86683)))+~E(f318(f66(x86686,x86687,x86688,x86681),x86682),f318(f66(x86689,x86687,x86688,x86684),x86685))
% 202.84/202.78 [10297]P1(f318(f318(f320(f926(x102971,x102972)),f318(f318(f243(x102971,x102972),f318(x102973,x102974)),f318(x102975,x102976))),f318(f301(f926(x102977,x102978),f926(x102971,x102972),f249(x102977,x102971,x102978,x102972,x102973,x102975)),x102979)))+~P1(f318(f318(f320(f926(x102977,x102978)),f318(f318(f243(x102977,x102978),x102974),x102976)),x102979))
% 202.84/202.78 [8966]~E(f318(x89664,f318(x89665,x89666)),f318(x89669,f318(x896610,x896611)))+E(f318(f318(f66(x89661,x89662,x89663,x89664),x89665),x89666),f318(f318(f66(x89667,x89662,x89668,x89669),x896610),x896611))
% 202.84/202.78 [4736]~P4(x47361)+~P103(x47361)+E(f92(x47361),f223(x47361))
% 202.84/202.78 [4737]~P4(x47371)+~P109(x47371)+E(f101(x47371),f224(x47371))
% 202.84/202.78 [4982]~P116(x49821)+~P100(x49821)+E(f318(f69(x49821),f318(f94(x49821),a88)),f71(x49821))
% 202.84/202.78 [5273]E(x52731,f2(a1))+E(f75(a1,x52731),f318(f72(a1),f71(a1)))+P1(f318(f318(f226(a1),f2(a1)),x52731))
% 202.84/202.78 [5480]E(x54801,f2(a1))+E(f75(a1,x54801),f71(a1))+~P1(f318(f318(f226(a1),f2(a1)),x54801))
% 202.84/202.78 [7530]~P43(x75301)+P1(f318(f55(a1),x75301))+~P1(f318(f55(a920),f318(f301(a1,a920,a95),x75301)))
% 202.84/202.78 [9870]E(x98701,f179(f927(f926(a920,a920),a918)))+~P1(f318(f55(f926(a920,a920)),x98701))+P1(f318(f318(f320(f926(f927(f926(a920,a920),a918),f927(f926(a920,a920),a918))),f318(f318(f243(f927(f926(a920,a920),a918),f927(f926(a920,a920),a918)),f179(f927(f926(a920,a920),a918))),x98701)),a28))
% 202.84/202.78 [10038]E(x100381,f2(a920))+E(x100381,f318(a103,f2(a920)))+~P1(f318(f318(f226(a920),x100381),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))))
% 202.84/202.78 [10327]E(x103271,f2(a90))+E(f318(f318(f73(a1),f318(f318(f74(a1),f318(f94(a1),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))),f318(a24,f318(f318(f30(a90),x103271),f318(f94(a90),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88))))))),f71(a1)),f318(a24,x103271))+E(f39(a90,x103271,f318(f94(a90),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))),f2(a90))
% 202.84/202.78 [10174]E(x101741,f2(a90))+~E(f39(a90,x101741,f318(f94(a90),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))),f2(a90))+E(f318(f318(f74(a1),f318(f94(a1),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))),f318(a24,f318(f318(f30(a90),x101741),f318(f94(a90),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))))),f318(a24,x101741))
% 202.84/202.78 [4817]~P61(x48171,x48172)+P46(x48171,x48172)+~P47(a918)
% 202.84/202.78 [4746]~P115(x47461)+P30(x47461,x47462)+~E(x47462,f2(x47461))
% 202.84/202.78 [4747]~P4(x47471)+P13(x47471,x47472)+~E(x47472,f104(x47471))
% 202.84/202.78 [4756]~P116(x47561)+~E(x47562,f2(x47561))+E(f75(x47561,x47562),f2(x47561))
% 202.84/202.78 [4757]~P96(x47571)+~E(x47572,f2(x47571))+E(f75(x47571,x47572),f2(x47571))
% 202.84/202.78 [4765]~P115(x47652)+~P30(x47652,x47651)+E(x47651,f2(x47652))
% 202.84/202.78 [4810]~P116(x48102)+~E(f75(x48102,x48101),f2(x48102))+E(x48101,f2(x48102))
% 202.84/202.78 [4824]~P6(x48242)+~P6(x48241)+P6(f185(x48241,x48242))
% 202.84/202.78 [4825]~P72(x48252)+~P72(x48251)+P72(f927(x48251,x48252))
% 202.84/202.78 [4826]~P72(x48262)+~P72(x48261)+P72(f926(x48261,x48262))
% 202.84/202.78 [4827]~P72(x48272)+~P72(x48271)+P72(f928(x48271,x48272))
% 202.84/202.78 [4828]~P73(x48282)+~P73(x48281)+P73(f927(x48281,x48282))
% 202.84/202.78 [4829]~P73(x48292)+~P73(x48291)+P73(f926(x48291,x48292))
% 202.84/202.78 [4830]~P73(x48302)+~P73(x48301)+P73(f928(x48301,x48302))
% 202.84/202.78 [4831]~P111(x48312)+~P111(x48311)+P111(f926(x48311,x48312))
% 202.84/202.78 [4954]~P4(x49541)+~P13(x49541,x49542)+P13(x49541,f143(x49541,x49542))
% 202.84/202.78 [5197]~P6(x51972)+~P6(x51971)+P6(f39(a1,x51971,x51972))
% 202.84/202.78 [4767]~P86(x47671)+~E(x47672,f2(x47671))+E(f318(f72(x47671),x47672),x47672)
% 202.84/202.78 [4782]~P146(x47821)+~E(x47822,f2(a1))+E(f318(f93(x47821),x47822),f2(x47821))
% 202.84/202.78 [4783]~P99(x47831)+~E(x47832,f2(a1))+E(f318(f93(x47831),x47832),f2(x47831))
% 202.84/202.78 [4807]~P68(x48071)+~E(f2(x48071),x48072)+E(f318(f72(x48071),x48072),f2(x48071))
% 202.84/202.78 [4808]~P68(x48081)+~E(x48082,f2(x48081))+E(f318(f72(x48081),x48082),f2(x48081))
% 202.84/202.78 [4809]~P93(x48091)+~E(x48092,f2(x48091))+E(f318(f69(x48091),x48092),f2(x48091))
% 202.84/202.78 [4833]~P86(x48332)+E(x48331,f2(x48332))+~E(f318(f72(x48332),x48331),x48331)
% 202.84/202.78 [4835]E(x48351,f318(a95,x48352))+~E(x48351,f2(a920))+~E(x48352,f318(f91(a1),x48351))
% 202.84/202.78 [4836]E(f318(a95,x48361),x48362)+~E(x48362,f2(a920))+~E(x48361,f318(f91(a1),x48362))
% 202.84/202.78 [4840]~P99(x48402)+E(x48401,f2(a1))+~E(f318(f93(x48402),x48401),f2(x48402))
% 202.84/202.78 [4844]~P68(x48442)+E(x48441,f2(x48442))+~E(f318(f72(x48442),x48441),f2(x48442))
% 202.84/202.78 [4845]~P93(x48452)+E(x48451,f2(x48452))+~E(f318(f69(x48452),x48451),f2(x48452))
% 202.84/202.78 [4846]~P68(x48461)+E(f2(x48461),x48462)+~E(f318(f72(x48461),x48462),f2(x48461))
% 202.84/202.78 [5029]~P4(x50291)+~P13(x50291,x50292)+P13(x50291,f318(f162(x50291),x50292))
% 202.84/202.78 [5056]~P1(x50562)+~P1(x50561)+P1(f318(f318(a316,x50561),x50562))
% 202.84/202.78 [5090]~E(f71(a920),f2(a920))+E(f318(f29(x50901),x50902),f2(a920))+~P1(f318(f55(x50901),x50902))
% 202.84/202.78 [5127]~P121(x51271)+~P148(x51271)+E(f318(f318(f235(x51271),f2(x51271)),f318(a103,x51272)),f2(x51271))
% 202.84/202.78 [5165]~P4(x51651)+P13(x51651,f130(x51651,x51652))+~P1(f318(f55(x51651),x51652))
% 202.84/202.78 [5166]~P4(x51661)+P13(x51661,f729(x51662,x51661))+~P1(f318(f55(x51661),x51662))
% 202.84/202.78 [5189]~P4(x51891)+E(f318(f163(x51891),f130(x51891,x51892)),x51892)+~P1(f318(f55(x51891),x51892))
% 202.84/202.78 [5190]~P4(x51901)+E(f318(f163(x51901),f729(x51902,x51901)),x51902)+~P1(f318(f55(x51901),x51902))
% 202.84/202.78 [5219]P1(x52191)+P1(x52192)+~P1(f318(f318(a317,x52192),x52191))
% 202.84/202.78 [5232]E(x52321,f179(f927(x52322,a918)))+~E(f318(f29(x52322),x52321),f2(a920))+~P1(f318(f55(x52322),x52321))
% 202.84/202.78 [5237]P1(x52371)+~P1(x52372)+~P1(f318(f318(a321,x52372),x52371))
% 202.84/202.78 [5292]~P82(x52921)+E(f318(f69(x52921),x52922),x52922)+P1(f318(f318(f226(x52921),x52922),f2(x52921)))
% 202.84/202.78 [5293]~P5(x52932)+~P42(x52932,x52932,x52931)+E(f318(x52931,f87(x52932,x52931)),f87(x52932,x52931))
% 202.84/202.78 [5294]~P5(x52942)+~P42(x52942,x52942,x52941)+E(f318(x52941,f86(x52942,x52941)),f86(x52942,x52941))
% 202.84/202.78 [5355]~P73(x53552)+~P1(f318(f50(x53552),x53551))+P1(f318(x53551,f730(x53551,x53552)))
% 202.84/202.78 [5356]~P73(x53562)+~P1(f318(f50(x53562),x53561))+P1(f318(x53561,f738(x53561,x53562)))
% 202.84/202.78 [5396]E(x53961,f104(x53962))+P1(f318(f128(x53962),f105(x53962,x53961)))+~P1(f318(f128(x53962),x53961))
% 202.84/202.78 [5401]~P4(x54011)+~P1(f318(f55(x54011),x54012))+P1(f318(f128(x54011),f130(x54011,x54012)))
% 202.84/202.78 [5402]~P4(x54021)+~P1(f318(f55(x54021),x54022))+P1(f318(f128(x54021),f729(x54022,x54021)))
% 202.84/202.78 [5407]~P146(x54071)+E(f318(f91(x54071),f318(a95,x54072)),f318(f93(x54071),x54072))+P1(f318(f318(f226(a1),x54072),f2(a1)))
% 202.84/202.78 [5428]P7(x54282,x54281)+E(f318(x54281,f527(x54281)),f318(x54281,f530(x54281)))+P1(f318(f318(x54281,f527(x54281)),f530(x54281)))
% 202.84/202.78 [5441]E(f318(f91(a1),f337(x54411,x54412)),x54411)+P1(f318(x54412,f318(a95,x54411)))+~P1(f318(x54412,f2(a920)))
% 202.84/202.78 [5454]~P73(x54541)+~P1(f318(x54542,f743(x54542,x54541)))+P1(f318(f51(x54541),x54542))
% 202.84/202.78 [5455]~P73(x54551)+~P1(f318(x54552,f753(x54552,x54551)))+P1(f318(f51(x54551),x54552))
% 202.84/202.78 [5490]~P116(x54901)+~E(f75(x54901,x54902),f318(f72(x54901),f71(x54901)))+P1(f318(f318(f226(x54901),x54902),f2(x54901)))
% 202.84/202.78 [5564]~E(x55642,f2(a1))+E(f206(x55641,x55642),f318(f318(f243(a1,a1),f2(a1)),f71(a1)))+P1(f318(f318(f226(a1),x55642),f2(a1)))
% 202.84/202.78 [5565]~E(x55651,f2(a1))+E(f206(x55651,x55652),f318(f318(f243(a1,a1),f2(a1)),f71(a1)))+P1(f318(f318(f226(a1),x55652),f2(a1)))
% 202.84/202.78 [5617]E(f318(f91(a1),f337(x56171,x56172)),x56171)+P1(f318(x56172,f318(a95,x56171)))+P1(f318(f318(f226(a1),x56171),f2(a1)))
% 202.84/202.78 [5684]~P116(x56841)+E(f75(x56841,x56842),f318(f72(x56841),f71(x56841)))+~P1(f318(f318(f226(x56841),x56842),f2(x56841)))
% 202.84/202.78 [5685]~P93(x56851)+E(f318(f69(x56851),x56852),f318(f72(x56851),x56852))+~P1(f318(f318(f225(x56851),x56852),f2(x56851)))
% 202.84/202.78 [5686]~P93(x56861)+E(f318(f69(x56861),x56862),f318(f72(x56861),x56862))+~P1(f318(f318(f226(x56861),x56862),f2(x56861)))
% 202.84/202.78 [5687]~P82(x56871)+E(f318(f69(x56871),x56872),f318(f72(x56871),x56872))+~P1(f318(f318(f226(x56871),x56872),f2(x56871)))
% 202.84/202.78 [5788]~P1(f318(x57881,f337(x57882,x57881)))+P1(f318(x57881,f318(a95,x57882)))+~P1(f318(x57881,f2(a920)))
% 202.84/202.78 [5795]E(x57951,f2(a920))+E(f318(a103,f678(x57952,x57951)),x57951)+~P1(f318(f318(f226(a920),x57951),f318(a103,x57952)))
% 202.84/202.78 [5799]P7(x57991,x57992)+~E(f318(x57992,f527(x57992)),f318(x57992,f530(x57992)))+~P1(f318(f318(x57992,f527(x57992)),f530(x57992)))
% 202.84/202.78 [5818]~P4(x58181)+P13(x58181,x58182)+P1(f318(f318(f225(a920),f712(x58182,x58181)),f713(x58182,x58181)))
% 202.84/202.78 [5819]~P4(x58191)+P13(x58191,x58192)+P1(f318(f318(f225(a920),f720(x58192,x58191)),f725(x58192,x58191)))
% 202.84/202.78 [5905]~P93(x59051)+~E(x59052,f2(x59051))+P1(f318(f318(f225(x59051),f318(f69(x59051),x59052)),f2(x59051)))
% 202.84/202.78 [5994]~P1(f318(x59941,f337(x59942,x59941)))+P1(f318(x59941,f318(a95,x59942)))+P1(f318(f318(f226(a1),x59942),f2(a1)))
% 202.84/202.78 [6020]~P1(f318(x60201,f318(a95,x60202)))+P1(f318(x60201,f2(a920)))+~P1(f318(f318(f226(a1),x60202),f2(a1)))
% 202.84/202.78 [6374]~P116(x63741)+~P1(f318(f318(f226(x63741),x63742),f2(x63741)))+P1(f318(f318(f226(x63741),f75(x63741,x63742)),f2(x63741)))
% 202.84/202.78 [6490]~P116(x64901)+P1(f318(f318(f225(x64901),f318(f93(x64901),x64902)),f2(x64901)))+~P1(f318(f318(f225(a1),x64902),f2(a1)))
% 202.84/202.78 [6491]~P116(x64911)+P1(f318(f318(f226(x64911),f318(f93(x64911),x64912)),f2(x64911)))+~P1(f318(f318(f226(a1),x64912),f2(a1)))
% 202.84/202.78 [6500]~P93(x65002)+E(x65001,f2(x65002))+~P1(f318(f318(f225(x65002),f318(f69(x65002),x65001)),f2(x65002)))
% 202.84/202.78 [6578]~P146(x65781)+~P1(f318(f318(f320(x65781),x65782),f100(x65781)))+P1(f318(f318(f320(x65781),f318(f72(x65781),x65782)),f100(x65781)))
% 202.84/202.78 [6610]~P116(x66101)+~P1(f318(f318(f226(x66101),f75(x66101,x66102)),f2(x66101)))+P1(f318(f318(f226(x66101),x66102),f2(x66101)))
% 202.84/202.78 [6788]~P116(x67882)+~P1(f318(f318(f225(x67882),f318(f93(x67882),x67881)),f2(x67882)))+P1(f318(f318(f225(a1),x67881),f2(a1)))
% 202.84/202.78 [6789]~P116(x67892)+~P1(f318(f318(f226(x67892),f318(f93(x67892),x67891)),f2(x67892)))+P1(f318(f318(f226(a1),x67891),f2(a1)))
% 202.84/202.78 [6874]~P5(x68741)+~P42(x68741,x68741,x68742)+P1(f318(f318(f225(x68741),f318(x68742,f87(x68741,x68742))),f87(x68741,x68742)))
% 202.84/202.78 [6875]~P5(x68751)+~P42(x68751,x68751,x68752)+P1(f318(f318(f225(x68751),f318(x68752,f86(x68751,x68752))),f86(x68751,x68752)))
% 202.84/202.78 [7302]~P86(x73021)+~P1(f318(f318(f225(x73021),x73022),f2(x73021)))+P1(f318(f318(f225(x73021),f318(f318(f73(x73021),x73022),x73022)),f2(x73021)))
% 202.84/202.78 [7304]~P86(x73041)+~P1(f318(f318(f226(x73041),x73042),f2(x73041)))+P1(f318(f318(f226(x73041),f318(f318(f73(x73041),x73042),x73042)),f2(x73041)))
% 202.84/202.78 [7305]~P116(x73051)+~P1(f318(f318(f226(x73051),x73052),f2(x73051)))+P1(f318(f318(f226(x73051),f318(f318(f73(x73051),x73052),x73052)),f2(x73051)))
% 202.84/202.78 [7876]~P86(x78761)+~P1(f318(f318(f225(x78761),f318(f318(f73(x78761),x78762),x78762)),f2(x78761)))+P1(f318(f318(f225(x78761),x78762),f2(x78761)))
% 202.84/202.78 [7877]~P86(x78771)+~P1(f318(f318(f226(x78771),f318(f318(f73(x78771),x78772),x78772)),f2(x78771)))+P1(f318(f318(f226(x78771),x78772),f2(x78771)))
% 202.84/202.78 [7878]~P116(x78781)+~P1(f318(f318(f226(x78781),f318(f318(f73(x78781),x78782),x78782)),f2(x78781)))+P1(f318(f318(f226(x78781),x78782),f2(x78781)))
% 202.84/202.78 [4881]~E(x48812,f71(a920))+~E(x48811,f71(a920))+E(f318(f318(f74(a920),x48811),x48812),f71(a920))
% 202.84/202.78 [4882]~E(x48822,f71(a1))+~E(x48821,f71(a1))+E(f318(f318(f74(a1),x48821),x48822),f71(a1))
% 202.84/202.78 [4883]~E(x48832,f2(a920))+~E(x48831,f2(a920))+E(f318(f318(f73(a920),x48831),x48832),f2(a920))
% 202.84/202.78 [4938]~P70(x49382)+E(x49381,f2(x49382))+E(f318(f318(f30(x49382),x49381),x49381),f71(x49382))
% 202.84/202.78 [4939]~P125(x49392)+E(x49391,f2(x49392))+E(f318(f318(f282(x49392),x49391),x49391),f71(x49392))
% 202.84/202.78 [4940]~P126(x49402)+E(x49401,f2(x49402))+E(f318(f318(f282(x49402),x49401),x49401),f71(x49402))
% 202.84/202.78 [4960]~P145(x49601)+~E(x49602,f71(x49601))+E(f318(f318(f74(x49601),x49602),x49602),f71(x49601))
% 202.84/202.78 [4961]~P86(x49611)+~E(x49612,f2(x49611))+E(f318(f318(f73(x49611),x49612),x49612),f2(x49611))
% 202.84/202.78 [4962]~P126(x49621)+~E(x49622,f2(x49621))+E(f318(f318(f282(x49621),x49622),x49622),f2(x49621))
% 202.84/202.78 [5007]~E(x50072,f2(a920))+~E(x50071,f2(a920))+E(f318(f72(a1),f318(f91(a1),x50071)),f318(f91(a1),x50072))
% 202.84/202.78 [5026]E(x50261,f71(a920))+E(x50262,f2(a920))+~E(f318(f318(f74(a920),x50262),x50261),x50262)
% 202.84/202.78 [5038]E(x50381,f2(a920))+E(x50382,f2(a920))+~E(f318(f318(f74(a920),x50382),x50381),f2(a920))
% 202.84/202.78 [5065]~E(x50652,f2(a920))+~E(x50651,f318(a103,f2(a920)))+E(f318(f318(f73(a920),x50651),x50652),f318(a103,f2(a920)))
% 202.84/202.78 [5066]~E(x50661,f2(a920))+~E(x50662,f318(a103,f2(a920)))+E(f318(f318(f73(a920),x50661),x50662),f318(a103,f2(a920)))
% 202.84/202.78 [5073]E(x50731,f71(a1))+E(x50732,f318(f94(a1),a88))+~E(f318(f318(f74(a1),x50731),x50732),f71(a1))
% 202.84/202.78 [5074]E(x50741,f71(a1))+E(x50742,f318(f94(a1),a88))+~E(f318(f318(f74(a1),x50742),x50741),f71(a1))
% 202.84/202.78 [5075]E(x50751,f71(a1))+E(x50751,f318(f94(a1),a88))+~E(f318(f318(f74(a1),x50752),x50751),f71(a1))
% 202.84/202.78 [5077]E(x50771,f71(a1))+E(x50771,f318(f94(a1),a88))+~E(f318(f318(f74(a1),x50771),x50772),f71(a1))
% 202.84/202.78 [5099]~P86(x50992)+E(x50991,f2(x50992))+~E(f318(f318(f73(x50992),x50991),x50991),f2(x50992))
% 202.84/202.78 [5105]~E(x51051,f318(f94(a1),a88))+~E(x51052,f318(f94(a1),a88))+E(f318(f318(f74(a1),x51051),x51052),f71(a1))
% 202.84/202.78 [5116]E(x51161,f2(a920))+E(x51162,f2(a920))+~E(f318(f318(f73(a920),x51162),x51161),f318(a103,f2(a920)))
% 202.84/202.78 [5126]~P100(x51261)+~P74(x51261)+E(f318(f318(f282(x51261),x51262),f318(f94(x51261),a76)),f2(x51261))
% 202.84/202.78 [5132]~P145(x51321)+~E(x51322,f318(f72(x51321),f71(x51321)))+E(f318(f318(f74(x51321),x51322),x51322),f71(x51321))
% 202.84/202.78 [5137]~P6(x51372)+~P6(x51371)+P6(f318(f318(f74(a1),x51371),x51372))
% 202.84/202.78 [5138]~P6(x51382)+~P6(x51381)+P6(f318(f318(f73(a1),x51381),x51382))
% 202.84/202.78 [5139]~P6(x51392)+~P6(x51391)+P6(f318(f318(f30(a1),x51391),x51392))
% 202.84/202.78 [5141]~E(x51412,f2(a1))+E(x51411,f2(a1))+E(f40(x51411,x51412),f318(f318(f243(a1,a1),f2(a1)),x51411))
% 202.84/202.78 [5163]~E(x51632,f318(a103,f2(a920)))+~E(x51631,f318(a103,f2(a920)))+E(f318(f318(f74(a920),x51631),x51632),f318(a103,f2(a920)))
% 202.84/202.78 [5180]E(x51801,f2(a920))+E(x51802,f318(a103,f2(a920)))+~E(f318(f318(f235(a920),x51802),x51801),f318(a103,f2(a920)))
% 202.84/202.78 [5181]E(x51811,f2(a920))+E(x51811,f318(a103,f2(a920)))+~E(f318(f318(f73(a920),x51812),x51811),f318(a103,f2(a920)))
% 202.84/202.78 [5182]E(x51821,f2(a920))+E(x51821,f318(a103,f2(a920)))+~E(f318(f318(f73(a920),x51821),x51822),f318(a103,f2(a920)))
% 202.84/202.78 [5191]~P100(x51911)+~P74(x51911)+E(f318(f318(f282(x51911),x51912),f318(f94(x51911),a88)),f318(f72(x51911),x51912))
% 202.84/202.78 [5211]E(x52111,f318(a95,x52112))+~E(x52111,f2(a920))+P1(f318(f318(f225(a1),f2(a1)),x52112))
% 202.84/202.78 [5212]E(f318(a95,x52121),x52122)+~E(x52122,f2(a920))+P1(f318(f318(f225(a1),f2(a1)),x52121))
% 202.84/202.78 [5228]E(x52281,f318(a103,f2(a920)))+E(x52282,f318(a103,f2(a920)))+~E(f318(f318(f73(a920),x52281),x52282),f318(a103,f2(a920)))
% 202.84/202.78 [5239]~E(x52391,f318(a95,x52392))+E(x52391,f2(a920))+P1(f318(f318(f225(a1),f2(a1)),x52392))
% 202.84/202.78 [5240]~E(f318(a95,x52402),x52401)+E(x52401,f2(a920))+P1(f318(f318(f225(a1),f2(a1)),x52402))
% 202.84/202.78 [5266]~P104(x52661)+E(f318(f57(x52661,f92(x52661)),x52662),f12(x52661,x52662))+~P1(f318(f55(x52661),x52662))
% 202.84/202.78 [5267]~P104(x52671)+E(f318(f57(x52671,f101(x52671)),x52672),f15(x52671,x52672))+~P1(f318(f55(x52671),x52672))
% 202.84/202.78 [5268]~P4(x52681)+E(f318(f57(x52681,f223(x52681)),x52682),f16(x52681,x52682))+~P1(f318(f55(x52681),x52682))
% 202.84/202.78 [5269]~P4(x52691)+E(f318(f57(x52691,f224(x52691)),x52692),f17(x52691,x52692))+~P1(f318(f55(x52691),x52692))
% 202.84/202.78 [5350]E(x53501,x53502)+~E(f318(f318(f3(a920),x53502),x53501),f2(a920))+~E(f318(f318(f3(a920),x53501),x53502),f2(a920))
% 202.84/202.78 [5367]P6(x53671)+~P43(x53672)+~P1(f318(f318(f320(a1),x53671),x53672))
% 202.84/202.78 [5397]~P116(x53971)+~E(f75(x53971,x53972),f71(x53971))+P1(f318(f318(f226(x53971),f2(x53971)),x53972))
% 202.84/202.78 [5408]~P100(x54081)+E(f318(f91(x54081),f318(f94(a920),x54082)),f318(f94(x54081),x54082))+P1(f318(a184,f318(f94(a1),x54082)))
% 202.84/202.78 [5413]~P46(x54131,x54132)+P47(a918)+P1(f318(f55(f926(x54131,x54131)),x54132))
% 202.84/202.78 [5482]~P4(x54821)+E(f318(f57(x54821,f223(x54821)),x54822),f13(x54821,f223(x54821),x54822))+~P1(f318(f55(x54821),x54822))
% 202.84/202.78 [5483]~P4(x54831)+E(f318(f57(x54831,f224(x54831)),x54832),f14(x54831,f224(x54831),x54832))+~P1(f318(f55(x54831),x54832))
% 202.84/202.78 [5497]E(x54971,x54972)+P1(f318(f318(f226(a920),x54972),x54971))+P1(f318(f318(f226(a920),x54971),x54972))
% 202.84/202.78 [5498]E(x54981,x54982)+P1(f318(f318(f226(a1),x54982),x54981))+P1(f318(f318(f226(a1),x54981),x54982))
% 202.84/202.78 [5551]~P100(x55511)+E(f318(f91(x55511),f318(f94(a920),x55512)),f2(x55511))+~P1(f318(a184,f318(f94(a1),x55512)))
% 202.84/202.78 [5554]~E(x55542,f318(a95,x55541))+E(x55541,f318(f91(a1),x55542))+~P1(f318(f318(f225(a1),f2(a1)),x55541))
% 202.84/202.78 [5555]~E(f318(a95,x55551),x55552)+E(x55551,f318(f91(a1),x55552))+~P1(f318(f318(f225(a1),f2(a1)),x55551))
% 202.84/202.78 [5556]~E(x55561,f318(a95,x55562))+E(f318(f91(a1),x55561),x55562)+~P1(f318(f318(f225(a1),f2(a1)),x55562))
% 202.84/202.78 [5566]E(x55661,f318(a95,x55662))+~E(x55662,f318(f91(a1),x55661))+~P1(f318(f318(f225(a1),f2(a1)),x55662))
% 202.84/202.78 [5567]E(f318(a95,x55671),x55672)+~E(x55671,f318(f91(a1),x55672))+~P1(f318(f318(f225(a1),f2(a1)),x55671))
% 202.84/202.78 [5608]~P93(x56082)+E(x56081,f2(x56082))+P1(f318(f318(f226(x56082),f2(x56082)),f318(f69(x56082),x56081)))
% 202.84/202.78 [5673]~P116(x56731)+E(f75(x56731,x56732),f71(x56731))+~P1(f318(f318(f226(x56731),f2(x56731)),x56732))
% 202.84/202.78 [5677]~P100(x56771)+E(f318(f91(x56771),f318(f94(a920),x56772)),f2(x56771))+P1(f318(f318(f225(a1),f2(a1)),f318(f94(a1),x56772)))
% 202.84/202.78 [5688]~P93(x56881)+E(f318(f69(x56881),x56882),x56882)+~P1(f318(f318(f225(x56881),f2(x56881)),x56882))
% 202.84/202.78 [5689]~P93(x56891)+E(f318(f69(x56891),x56892),x56892)+~P1(f318(f318(f226(x56891),f2(x56891)),x56892))
% 202.84/202.78 [5698]E(x56981,f2(a920))+~E(f130(a920,f318(f293(a920,x56982),x56981)),f104(a920))+P1(f318(f318(f225(a920),x56981),x56982))
% 202.84/202.78 [5708]~P83(x57081)+E(f318(f318(f8(x57081,x57081),f7(x57081)),f318(f163(x57081),x57082)),f318(f156(x57081),x57082))+~P1(f318(f128(x57081),x57082))
% 202.84/202.78 [5711]~P146(x57111)+E(f318(f91(x57111),f318(a95,x57112)),f318(f93(x57111),x57112))+~P1(f318(f318(f225(a1),f2(a1)),x57112))
% 202.84/202.78 [5738]E(x57381,x57382)+P1(f318(f318(f226(a920),x57381),x57382))+~P1(f318(f318(f225(a920),x57381),x57382))
% 202.84/202.78 [5739]E(x57391,x57392)+P1(f318(f318(f226(a1),x57391),x57392))+~P1(f318(f318(f225(a1),x57391),x57392))
% 202.84/202.78 [5742]E(x57421,f71(a1))+~E(f318(f318(f74(a1),x57422),x57421),f71(a1))+~P1(f318(f318(f226(a1),f2(a1)),x57422))
% 202.84/202.78 [5743]E(x57431,f71(a1))+~E(f318(f318(f74(a1),x57431),x57432),f71(a1))+~P1(f318(f318(f226(a1),f2(a1)),x57431))
% 202.84/202.78 [5785]~P43(x57852)+P1(f318(f318(f225(a1),f2(a1)),x57851))+~P1(f318(f318(f320(a1),x57851),x57852))
% 202.84/202.78 [5805]~P61(x58051,x58052)+P39(x58051,x58052)+~P1(f318(f55(f926(x58051,x58051)),x58052))
% 202.84/202.78 [5807]~P61(x58071,x58072)+P46(x58071,x58072)+~P1(f318(f55(f926(x58071,x58071)),x58072))
% 202.84/202.78 [5849]E(x58491,f179(f927(x58492,a918)))+~P1(f318(f55(x58492),x58491))+P1(f318(f318(f226(a920),f2(a920)),f318(f29(x58492),x58491)))
% 202.84/202.78 [5876]~P1(f318(x58761,x58762))+P1(f318(x58761,f2(a920)))+P1(f318(f318(f226(a920),f882(x58762,x58761)),x58762))
% 202.84/202.78 [5899]E(x58991,f2(a920))+~E(f318(f156(a920),x58992),f2(a920))+~P1(f318(f318(f320(a920),x58991),f318(f163(a920),x58992)))
% 202.84/202.78 [5967]E(x59671,x59672)+~P1(f318(f318(f225(a920),x59672),x59671))+~P1(f318(f318(f225(a920),x59671),x59672))
% 202.84/202.78 [5968]E(x59681,x59682)+~P1(f318(f318(f225(a1),x59682),x59681))+~P1(f318(f318(f225(a1),x59681),x59682))
% 202.84/202.78 [5970]E(f318(f29(x59701),x59702),f2(a920))+~P1(f318(f55(x59701),x59702))+P1(f318(f318(f320(x59701),f350(x59702,x59701)),x59702))
% 202.84/202.78 [5979]E(f44(x59791,x59792),f40(x59791,x59792))+P1(f318(f318(f225(a1),f2(a1)),x59791))+~P1(f318(f318(f226(a1),f2(a1)),x59792))
% 202.84/202.78 [6006]~P1(f318(x60061,f335(x60061)))+P1(f318(x60061,f318(a95,x60062)))+~P1(f318(f318(f225(a1),f2(a1)),x60062))
% 202.84/202.78 [6010]P1(f318(f318(f225(a920),x60101),f348(x60102)))+~P1(f318(f55(a920),x60102))+~P1(f318(f318(f320(a920),x60101),x60102))
% 202.84/202.78 [6011]P1(f318(f318(f226(a920),x60111),f345(x60112)))+~P1(f318(f55(a920),x60112))+~P1(f318(f318(f320(a920),x60111),x60112))
% 202.84/202.78 [6042]E(x60421,x60422)+~P1(f318(f318(f226(a920),x60421),f318(a103,x60422)))+P1(f318(f318(f226(a920),x60421),x60422))
% 202.84/202.78 [6078]E(x60781,f318(a103,x60782))+~P1(f318(f318(f225(a920),x60781),f318(a103,x60782)))+P1(f318(f318(f225(a920),x60781),x60782))
% 202.84/202.78 [6094]P1(f318(x60941,f338(x60941)))+~P1(f318(x60941,f318(a95,x60942)))+~P1(f318(f318(f225(a1),f2(a1)),x60942))
% 202.84/202.78 [6110]~P1(f318(x61101,x61102))+~P1(f318(f318(f225(a1),f2(a1)),x61102))+P1(f318(x61101,f318(f91(a1),f887(x61101))))
% 202.84/202.78 [6121]~P93(x61212)+~E(x61211,f2(x61212))+~P1(f318(f318(f226(x61212),f2(x61212)),f318(f69(x61212),x61211)))
% 202.84/202.78 [6146]~P61(x61461,x61462)+P39(x61461,f318(f277(x61461,x61461),x61462))+~P1(f318(f55(f926(x61461,x61461)),x61462))
% 202.84/202.78 [6157]~P100(x61571)+E(f318(f91(x61571),f318(f94(a920),x61572)),f318(f94(x61571),x61572))+~P1(f318(f318(f225(a1),f2(a1)),f318(f94(a1),x61572)))
% 202.84/202.78 [6161]E(f318(a103,x61611),x61612)+~P1(f318(f318(f226(a920),x61611),x61612))+P1(f318(f318(f226(a920),f318(a103,x61611)),x61612))
% 202.84/202.78 [6178]E(f318(f318(f30(a1),x61781),x61782),f2(a1))+~P1(f318(f318(f225(a1),x61781),f2(a1)))+~P1(f318(f318(f226(a1),x61782),x61781))
% 202.84/202.78 [6189]E(f39(a1,x61891,x61892),x61891)+~P1(f318(f318(f225(a1),x61891),f2(a1)))+~P1(f318(f318(f226(a1),x61892),x61891))
% 202.84/202.78 [6203]E(f41(x62031,x62032),f40(x62031,x62032))+~P1(f318(f318(f225(a1),f2(a1)),x62031))+~P1(f318(f318(f225(a1),f2(a1)),x62032))
% 202.84/202.78 [6213]E(f318(f318(f30(a1),x62131),x62132),f2(a1))+~P1(f318(f318(f225(a1),f2(a1)),x62131))+~P1(f318(f318(f226(a1),x62131),x62132))
% 202.84/202.78 [6224]E(f39(a920,f318(f94(a920),x62241),f318(f94(a920),x62242)),f318(f94(a920),x62241))+P1(f318(a184,f318(f94(a1),x62241)))+~P1(f318(a184,f318(f94(a1),x62242)))
% 202.84/202.78 [6226]E(f39(a1,x62261,x62262),x62261)+~P1(f318(f318(f225(a1),f2(a1)),x62261))+~P1(f318(f318(f226(a1),x62261),x62262))
% 202.84/202.78 [6227]E(x62271,x62272)+~P1(f318(f318(f226(a920),x62271),f318(a103,x62272)))+~P1(f318(f318(f225(a920),x62272),x62271))
% 202.84/202.78 [6241]~P86(x62411)+~P1(f318(f318(f225(x62411),x62412),f2(x62411)))+P1(f318(f318(f225(x62411),x62412),f318(f72(x62411),x62412)))
% 202.84/202.78 [6242]~P116(x62421)+~P1(f318(f318(f226(x62421),x62422),f2(x62421)))+P1(f318(f318(f226(x62421),x62422),f318(f72(x62421),x62422)))
% 202.84/202.78 [6252]~P5(x62521)+E(f318(f318(f58(x62521,x62521,f92(x62521)),f233(x62521)),x62522),f32(x62521,x62522))+~P1(f318(f55(x62521),x62522))
% 202.84/202.78 [6253]~P5(x62531)+E(f318(f318(f58(x62531,x62531,f101(x62531)),f179(x62531)),x62532),f31(x62531,x62532))+~P1(f318(f55(x62531),x62532))
% 202.84/202.78 [6270]~P116(x62701)+~P1(f318(f318(f225(a1),f2(a1)),x62702))+P1(f318(f318(f225(x62701),f2(x62701)),f318(f93(x62701),x62702)))
% 202.84/202.78 [6271]~P135(x62711)+~P1(f318(f318(f226(a920),f2(a920)),x62712))+P1(f318(f318(f226(x62711),f2(x62711)),f318(f91(x62711),x62712)))
% 202.84/202.78 [6272]~P116(x62721)+~P1(f318(f318(f226(a1),f2(a1)),x62722))+P1(f318(f318(f226(x62721),f2(x62721)),f318(f93(x62721),x62722)))
% 202.84/202.78 [6275]~P6(x62752)+~P6(x62751)+E(f318(f301(a920,a1,f91(a1)),f294(a920,f318(a95,x62751),f318(a95,x62752))),f294(a1,x62751,x62752))
% 202.84/202.78 [6281]P1(f318(x62811,x62812))+~P1(f318(f318(f225(a1),f2(a1)),x62812))+~P1(f318(x62811,f318(f91(a1),f889(x62811))))
% 202.84/202.78 [6311]E(f318(f318(f73(a920),f318(f94(a920),x63111)),f318(f94(a920),x63112)),f318(f94(a920),x63111))+P1(f318(f318(f226(a1),x63111),a76))+~P1(f318(f318(f226(a1),x63112),a76))
% 202.84/202.78 [6315]~P116(x63151)+P1(f318(f318(f226(x63151),f2(x63151)),f75(x63151,x63152)))+~P1(f318(f318(f226(x63151),f2(x63151)),x63152))
% 202.84/202.78 [6328]~P67(x63281)+~P1(f318(f318(f225(x63281),x63282),f2(x63281)))+P1(f318(f318(f225(x63281),f2(x63281)),f318(f72(x63281),x63282)))
% 202.84/202.78 [6329]~P67(x63291)+~P1(f318(f318(f226(x63291),x63292),f2(x63291)))+P1(f318(f318(f226(x63291),f2(x63291)),f318(f72(x63291),x63292)))
% 202.84/202.78 [6332]E(x63321,f233(f927(x63322,a918)))+~E(f318(f29(x63322),x63321),f318(f29(x63322),f233(f927(x63322,a918))))+~P1(f318(f55(x63322),f233(f927(x63322,a918))))
% 202.84/202.78 [6365]~P86(x63651)+P1(f318(f318(f225(x63651),x63652),f2(x63651)))+~P1(f318(f318(f225(x63651),x63652),f318(f72(x63651),x63652)))
% 202.84/202.78 [6366]~P116(x63661)+P1(f318(f318(f226(x63661),x63662),f2(x63661)))+~P1(f318(f318(f226(x63661),x63662),f318(f72(x63661),x63662)))
% 202.84/202.78 [6376]~P100(x63761)+P1(f318(f318(f320(x63761),f318(f94(x63761),x63762)),f177(x63761)))+~P1(f318(f318(f225(a1),a76),x63762))
% 202.84/202.78 [6405]E(x64051,f2(a920))+~P1(f318(f318(f226(a920),x64051),f318(a103,x64052)))+P1(f318(f318(f226(a920),f678(x64052,x64051)),x64052))
% 202.84/202.78 [6428]~P116(x64281)+~P1(f318(f318(f226(x64281),f2(x64281)),f75(x64281,x64282)))+P1(f318(f318(f226(x64281),f2(x64281)),x64282))
% 202.84/202.78 [6430]~E(f318(f94(a920),x64302),f318(f94(a920),x64301))+P1(f318(f318(f225(a1),f318(f94(a1),x64301)),f2(a1)))+~P1(f318(a184,f318(f94(a1),x64302)))
% 202.84/202.78 [6459]E(f318(f242(a1,a1),f44(x64591,x64592)),f318(f318(f30(a1),x64591),x64592))+~P1(f318(f318(f226(a1),x64591),f2(a1)))+~P1(f318(f318(f226(a1),f2(a1)),x64592))
% 202.84/202.78 [6498]E(f318(f247(a1,a1),f44(x64981,x64982)),f39(a1,x64981,x64982))+~P1(f318(f318(f226(a1),x64981),f2(a1)))+~P1(f318(f318(f226(a1),f2(a1)),x64982))
% 202.84/202.78 [6501]~P116(x65012)+~P1(f318(f318(f225(x65012),f2(x65012)),f318(f93(x65012),x65011)))+P1(f318(f318(f225(a1),f2(a1)),x65011))
% 202.84/202.78 [6502]~P135(x65022)+~P1(f318(f318(f226(x65022),f2(x65022)),f318(f91(x65022),x65021)))+P1(f318(f318(f226(a920),f2(a920)),x65021))
% 202.84/202.78 [6503]~P116(x65032)+~P1(f318(f318(f226(x65032),f2(x65032)),f318(f93(x65032),x65031)))+P1(f318(f318(f226(a1),f2(a1)),x65031))
% 202.84/202.78 [6506]E(f318(f242(a1,a1),f41(x65061,x65062)),f318(f318(f30(a1),x65061),x65062))+~P1(f318(f318(f225(a1),f2(a1)),x65062))+~P1(f318(f318(f226(a1),f2(a1)),x65061))
% 202.84/202.78 [6521]E(f318(f247(a1,a1),f41(x65211,x65212)),f39(a1,x65211,x65212))+~P1(f318(f318(f225(a1),f2(a1)),x65212))+~P1(f318(f318(f226(a1),f2(a1)),x65211))
% 202.84/202.78 [6536]~P67(x65361)+P1(f318(f318(f225(x65361),x65362),f2(x65361)))+~P1(f318(f318(f225(x65361),f2(x65361)),f318(f72(x65361),x65362)))
% 202.84/202.78 [6537]~P67(x65371)+P1(f318(f318(f226(x65371),x65372),f2(x65371)))+~P1(f318(f318(f226(x65371),f2(x65371)),f318(f72(x65371),x65372)))
% 202.84/202.78 [6560]~P5(x65601)+~P42(x65601,x65601,x65602)+P1(f318(f318(f225(x65601),f87(x65601,x65602)),f318(x65602,f87(x65601,x65602))))
% 202.84/202.78 [6561]~P5(x65611)+~P42(x65611,x65611,x65612)+P1(f318(f318(f225(x65611),f86(x65611,x65612)),f318(x65612,f86(x65611,x65612))))
% 202.84/202.78 [6565]P1(f318(f43(x65651,x65652),f44(x65651,x65652)))+~P1(f318(f318(f226(a1),x65651),f2(a1)))+~P1(f318(f318(f226(a1),f2(a1)),x65652))
% 202.84/202.78 [6590]P1(f318(f43(x65901,x65902),f41(x65901,x65902)))+~P1(f318(f318(f225(a1),f2(a1)),x65901))+~P1(f318(f318(f226(a1),f2(a1)),x65902))
% 202.84/202.78 [6634]~P67(x66341)+P1(f318(f318(f225(x66341),f318(f72(x66341),x66342)),f2(x66341)))+~P1(f318(f318(f225(x66341),f2(x66341)),x66342))
% 202.84/202.78 [6635]~P67(x66351)+P1(f318(f318(f226(x66351),f318(f72(x66351),x66352)),f2(x66351)))+~P1(f318(f318(f226(x66351),f2(x66351)),x66352))
% 202.84/202.78 [6653]E(f318(f318(f3(a920),f318(a95,x66531)),f318(a95,x66532)),f318(a95,f185(x66531,x66532)))+~P1(f318(f318(f225(a1),f2(a1)),x66532))+~P1(f318(f318(f225(a1),f2(a1)),x66531))
% 202.84/202.78 [6671]P1(f318(f318(f225(a1),f2(a1)),f185(x66711,x66712)))+~P1(f318(f318(f225(a1),f2(a1)),x66712))+~P1(f318(f318(f225(a1),f2(a1)),x66711))
% 202.84/202.78 [6708]~P1(f318(x67081,x67082))+P1(f318(x67081,f2(a920)))+P1(f318(x67081,f318(f318(f73(a920),f882(x67082,x67081)),f71(a920))))
% 202.84/202.78 [6795]E(f318(f94(a920),x67951),f318(f94(a920),x67952))+~P1(f318(f318(f225(a1),f318(f94(a1),x67952)),f2(a1)))+~P1(f318(a184,f318(f94(a1),x67951)))
% 202.84/202.78 [6807]~E(x68071,f2(a920))+~E(f691(x68072,x68071),f2(a920))+E(f318(f133(a920,a920,f73(a920),x68071),x68072),f2(a920))
% 202.84/202.78 [6831]~P1(f318(f55(x68311),f354(x68312,x68311)))+~P1(f318(f55(f927(x68311,a918)),x68312))+P1(f318(f55(x68311),f31(f927(x68311,a918),x68312)))
% 202.84/202.78 [6837]E(x68371,x68372)+P1(f318(f318(f226(a1),x68371),x68372))+~P1(f318(f318(f226(a1),x68371),f318(f318(f73(a1),x68372),f71(a1))))
% 202.84/202.78 [6838]P1(f318(f318(f225(a920),f318(a95,x68381)),f318(a95,x68382)))+~P1(f318(f318(f225(a1),f2(a1)),x68382))+~P1(f318(f318(f225(a1),x68381),x68382))
% 202.84/202.78 [6839]P1(f318(f318(f225(a920),f318(a95,x68391)),f318(a95,x68392)))+~P1(f318(f318(f226(a1),f2(a1)),x68391))+~P1(f318(f318(f225(a1),x68391),x68392))
% 202.84/202.78 [6841]P1(f318(f318(f226(a920),f318(a95,x68411)),f318(a95,x68412)))+~P1(f318(f318(f225(a1),f2(a1)),x68411))+~P1(f318(f318(f226(a1),x68411),x68412))
% 202.84/202.78 [6842]P1(f318(f318(f226(a920),f318(a95,x68421)),f318(a95,x68422)))+~P1(f318(f318(f226(a1),f2(a1)),x68422))+~P1(f318(f318(f226(a1),x68421),x68422))
% 202.84/202.78 [6854]E(f39(a920,f318(a95,x68541),f318(a95,x68542)),f318(a95,f39(a1,x68541,x68542)))+~P1(f318(f318(f225(a1),f2(a1)),x68542))+~P1(f318(f318(f225(a1),f2(a1)),x68541))
% 202.84/202.78 [6879]~P67(x68791)+~P1(f318(f318(f225(x68791),f318(f72(x68791),x68792)),f2(x68791)))+P1(f318(f318(f225(x68791),f2(x68791)),x68792))
% 202.84/202.78 [6880]~P67(x68801)+~P1(f318(f318(f226(x68801),f318(f72(x68801),x68802)),f2(x68801)))+P1(f318(f318(f226(x68801),f2(x68801)),x68802))
% 202.84/202.78 [6895]~P1(f318(f318(f226(a1),a76),x68952))+~P1(f318(f318(f226(a1),x68951),x68952))+P1(f318(f318(f226(a920),f318(f94(a920),x68951)),f318(f94(a920),x68952)))
% 202.84/202.78 [6987]~P1(f318(f318(f225(a1),f2(a1)),x69871))+P1(f318(f318(f226(a920),f318(a95,x69871)),x69872))+~P1(f318(f318(f226(a1),x69871),f318(f91(a1),x69872)))
% 202.84/202.78 [6992]P1(f318(x69921,x69922))+~P1(f318(x69921,f318(a22,f813(x69921,x69922))))+~P1(f318(f318(f320(a920),x69922),f233(f927(a920,a918))))
% 202.84/202.78 [7004]E(x70041,f2(a1))+E(f39(a1,x70042,x70041),f2(a1))+E(f318(f318(f3(a1),f318(f72(a1),f318(f318(f30(a1),x70042),x70041))),f71(a1)),f318(f318(f30(a1),x70042),f318(f72(a1),x70041)))
% 202.84/202.78 [7018]~P1(f318(f318(f225(a1),f2(a1)),x70181))+~P1(f318(f318(f226(a920),f318(a95,x70181)),x70182))+P1(f318(f318(f226(a1),x70181),f318(f91(a1),x70182)))
% 202.84/202.78 [7056]~P1(f318(f318(f225(a920),f318(a95,x70561)),f318(a95,x70562)))+~P1(f318(f318(f225(a1),f2(a1)),x70562))+P1(f318(f318(f225(a1),x70561),x70562))
% 202.84/202.78 [7057]~P1(f318(f318(f225(a920),f318(a95,x70571)),f318(a95,x70572)))+~P1(f318(f318(f226(a1),f2(a1)),x70571))+P1(f318(f318(f225(a1),x70571),x70572))
% 202.84/202.78 [7086]P1(f318(f318(f225(a1),x70861),x70862))+~P1(f318(f318(f225(a920),f318(f94(a920),x70861)),f318(f94(a920),x70862)))+P1(f318(f318(f225(a1),x70861),a76))
% 202.84/202.78 [7113]P1(f318(f318(f225(a1),f2(a1)),f39(a1,x71131,x71132)))+~P1(f318(f318(f225(a1),f2(a1)),x71132))+~P1(f318(f318(f225(a1),f2(a1)),x71131))
% 202.84/202.78 [7210]P1(f318(f318(f226(a1),a76),x72101))+~P1(f318(f318(f226(a1),x72102),x72101))+~P1(f318(f318(f226(a920),f318(f94(a920),x72102)),f318(f94(a920),x72101)))
% 202.84/202.78 [7265]E(f318(f318(f243(a1,a1),f318(f318(f30(a1),x72651),x72652)),f39(a1,x72651,x72652)),f44(x72651,x72652))+~P1(f318(f318(f226(a1),x72651),f2(a1)))+~P1(f318(f318(f226(a1),f2(a1)),x72652))
% 202.84/202.78 [7285]E(f318(f318(f243(a1,a1),f318(f318(f30(a1),x72851),x72852)),f39(a1,x72851,x72852)),f41(x72851,x72852))+~P1(f318(f318(f225(a1),f2(a1)),x72852))+~P1(f318(f318(f225(a1),f2(a1)),x72851))
% 202.84/202.78 [7340]~P102(x73402)+E(x73401,f104(x73402))+E(f318(f133(x73402,x73402,f74(x73402),f318(f132(x73402),x73401)),f318(f162(x73402),x73401)),f318(f57(x73402,f74(x73402)),f318(f163(x73402),x73401)))
% 202.84/202.78 [7459]~E(x74591,f2(a920))+E(f318(f133(a920,a920,f73(a920),x74591),x74592),f2(a920))+P1(f318(f318(f320(a920),f691(x74592,x74591)),f318(f163(a920),x74592)))
% 202.84/202.78 [7510]~P1(f318(f318(f225(a1),x75101),f2(a1)))+P1(f318(f318(f225(a1),f318(f318(f30(a1),x75101),x75102)),f2(a1)))+~P1(f318(f318(f226(a1),f2(a1)),x75102))
% 202.84/202.78 [7511]~P1(f318(f318(f226(a1),x75112),f2(a1)))+P1(f318(f318(f225(a1),f318(f318(f30(a1),x75111),x75112)),f2(a1)))+~P1(f318(f318(f225(a1),f2(a1)),x75111))
% 202.84/202.78 [7512]~P1(f318(f318(f226(a1),x75122),f2(a1)))+P1(f318(f318(f226(a1),f318(f318(f30(a1),x75121),x75122)),f2(a1)))+~P1(f318(f318(f226(a1),f2(a1)),x75121))
% 202.84/202.78 [7514]~P1(f318(f318(f226(a1),x75141),f2(a1)))+P1(f318(f318(f226(a1),f318(f318(f30(a1),x75141),x75142)),f2(a1)))+~P1(f318(f318(f226(a1),f2(a1)),x75142))
% 202.84/202.78 [7520]P1(f318(f318(f320(f927(x75201,a918)),f354(x75202,x75201)),x75202))+~P1(f318(f55(f927(x75201,a918)),x75202))+P1(f318(f55(x75201),f31(f927(x75201,a918),x75202)))
% 202.84/202.78 [7609]P25(x76091,x76091,x76092,f233(f927(x76091,a918)))+~E(f318(f301(x76091,x76091,x76092),f233(f927(x76091,a918))),f233(f927(x76091,a918)))+~P1(f318(f55(x76091),f233(f927(x76091,a918))))
% 202.84/202.78 [7729]~P25(x77291,x77291,x77292,f233(f927(x77291,a918)))+E(f318(f301(x77291,x77291,x77292),f233(f927(x77291,a918))),f233(f927(x77291,a918)))+~P1(f318(f55(x77291),f233(f927(x77291,a918))))
% 202.84/202.78 [7869]E(f318(f318(f30(a1),x78691),x78692),f318(f94(a1),a88))+~P1(f318(f318(f225(a1),f318(f318(f73(a1),x78691),x78692)),f2(a1)))+~P1(f318(f318(f226(a1),f2(a1)),x78691))
% 202.84/202.78 [7926]~P1(f318(f318(f226(a1),x79262),f2(a1)))+~P1(f318(f318(f226(a1),f318(f318(f30(a1),x79261),x79262)),f2(a1)))+P1(f318(f318(f226(a1),f2(a1)),x79261))
% 202.84/202.78 [7931]E(f318(f318(f73(a1),x79311),x79312),f39(a1,x79311,x79312))+~P1(f318(f318(f225(a1),f318(f318(f73(a1),x79311),x79312)),f2(a1)))+~P1(f318(f318(f226(a1),f2(a1)),x79311))
% 202.84/202.78 [7934]P1(f318(f318(f226(a1),x79341),f2(a1)))+~P1(f318(f318(f226(a1),f318(f318(f30(a1),x79341),x79342)),f2(a1)))+~P1(f318(f318(f226(a1),f2(a1)),x79342))
% 202.84/202.78 [8635]~P4(x86351)+P13(x86351,x86352)+~P1(f318(f318(f225(x86351),f318(f318(f155(x86351),x86352),f712(x86352,x86351))),f318(f318(f155(x86351),x86352),f713(x86352,x86351))))
% 202.84/202.78 [8636]~P4(x86361)+P13(x86361,x86362)+~P1(f318(f318(f225(x86361),f318(f318(f155(x86361),x86362),f720(x86362,x86361))),f318(f318(f155(x86361),x86362),f725(x86362,x86361))))
% 202.84/202.78 [5842]E(x58421,f2(a1))+~E(f39(a1,x58422,x58421),f2(a1))+E(f318(f318(f30(a1),x58422),f318(f72(a1),x58421)),f318(f72(a1),f318(f318(f30(a1),x58422),x58421)))
% 202.84/202.78 [5860]~P43(x58602)+~P43(x58601)+P43(f318(f318(f92(f927(a1,a918)),x58601),x58602))
% 202.84/202.78 [5861]~P43(x58612)+~P43(x58611)+P43(f318(f318(f101(f927(a1,a918)),x58611),x58612))
% 202.84/202.78 [5879]~P100(x58791)+~P74(x58791)+E(f318(f72(x58791),f318(f318(f282(x58791),f71(x58791)),x58792)),f318(f318(f282(x58791),f318(f94(x58791),a88)),x58792))
% 202.84/202.78 [5998]E(x59981,f2(a1))+~E(f39(a1,x59982,x59981),f2(a1))+E(f318(f318(f30(a1),f318(f72(a1),x59982)),x59981),f318(f72(a1),f318(f318(f30(a1),x59982),x59981)))
% 202.84/202.78 [6140]~P4(x61401)+P13(x61401,x61402)+P1(f318(f318(f226(a920),f713(x61402,x61401)),f318(f180(f921(x61401)),x61402)))
% 202.84/202.78 [6141]~P4(x61411)+P13(x61411,x61412)+P1(f318(f318(f226(a920),f725(x61412,x61411)),f318(f180(f921(x61411)),x61412)))
% 202.84/202.78 [6160]P28(a917,x61601,x61602)+~P28(a917,x61601,f834(x61601))+~P1(f318(f318(f320(f919(a917)),x61602),a930))
% 202.84/202.78 [6305]~P100(x63051)+~E(f318(f94(x63051),x63052),f2(x63051))+P30(x63051,f318(f94(x63051),f318(f318(f73(a1),x63052),f318(f72(a1),a76))))
% 202.84/202.78 [6306]~P100(x63061)+~E(f318(f94(x63061),x63062),f2(x63061))+P30(x63061,f318(f94(x63061),f318(f318(f73(a1),a76),f318(f72(a1),x63062))))
% 202.84/202.78 [6308]E(f318(a45,f41(f318(f72(a1),x63081),f318(f72(a1),x63082))),f40(x63081,x63082))+P1(f318(f318(f225(a1),f2(a1)),x63081))+P1(f318(f318(f226(a1),f2(a1)),x63082))
% 202.84/202.78 [6347]P28(a917,x63471,x63472)+P1(f318(f318(f320(f919(a917)),f834(x63471)),a929))+~P1(f318(f318(f320(f919(a917)),x63472),a930))
% 202.84/202.78 [6436]~E(x64362,f2(a920))+~E(x64361,f2(a920))+P1(f318(f318(f225(a1),f318(f91(a1),x64361)),f318(f72(a1),f318(f91(a1),x64362))))
% 202.84/202.78 [6465]E(f318(f318(f73(a920),f318(f94(a920),x64651)),f318(f94(a920),x64652)),f318(f94(a920),f318(f318(f73(a1),x64651),x64652)))+P1(f318(f318(f226(a1),x64651),a76))+P1(f318(f318(f226(a1),x64652),a76))
% 202.84/202.78 [6599]~P86(x65991)+~P1(f318(f318(f225(x65991),f2(x65991)),x65992))+P1(f318(f318(f225(x65991),f318(f72(x65991),x65992)),x65992))
% 202.84/202.78 [6600]~P86(x66001)+~P1(f318(f318(f226(x66001),f2(x66001)),x66002))+P1(f318(f318(f226(x66001),f318(f72(x66001),x66002)),x66002))
% 202.84/202.78 [6781]E(f318(f318(f3(a920),f318(a95,x67811)),f318(a95,x67812)),f318(a95,f318(f318(f3(a1),x67811),x67812)))+~P1(f318(f318(f225(a1),f2(a1)),x67812))+~P1(f318(f318(f225(a1),x67812),x67811))
% 202.84/202.78 [6815]E(f318(a95,f39(a1,f318(f94(a1),x68151),f318(f94(a1),x68152))),f39(a920,f318(f94(a920),x68151),f318(f94(a920),x68152)))+P1(f318(a184,f318(f94(a1),x68151)))+P1(f318(a184,f318(f94(a1),x68152)))
% 202.84/202.78 [6832]~P86(x68321)+P1(f318(f318(f225(x68321),f2(x68321)),x68322))+~P1(f318(f318(f225(x68321),f318(f72(x68321),x68322)),x68322))
% 202.84/202.78 [6833]~P86(x68331)+P1(f318(f318(f226(x68331),f2(x68331)),x68332))+~P1(f318(f318(f226(x68331),f318(f72(x68331),x68332)),x68332))
% 202.84/202.78 [6845]~P86(x68451)+~P1(f318(f318(f225(x68451),f2(x68451)),x68452))+P1(f318(f318(f225(x68451),f2(x68451)),f318(f318(f73(x68451),x68452),x68452)))
% 202.84/202.78 [6848]~P86(x68481)+~P1(f318(f318(f226(x68481),f2(x68481)),x68482))+P1(f318(f318(f226(x68481),f2(x68481)),f318(f318(f73(x68481),x68482),x68482)))
% 202.84/202.78 [6860]E(f318(f318(f73(a920),f318(a95,x68601)),f318(a95,x68602)),f318(a95,f318(f318(f73(a1),x68601),x68602)))+~P1(f318(f318(f225(a1),f2(a1)),x68602))+~P1(f318(f318(f225(a1),f2(a1)),x68601))
% 202.84/202.78 [6871]E(x68711,f2(a920))+P1(f318(f318(f226(a920),f2(a920)),x68712))+~P1(f318(f318(f226(a920),f2(a920)),f318(f318(f235(a920),x68712),x68711)))
% 202.84/202.78 [6907]~P100(x69071)+E(f318(f94(x69071),x69072),f2(x69071))+~P30(x69071,f318(f94(x69071),f318(f318(f73(a1),a76),f318(f72(a1),x69072))))
% 202.84/202.78 [6908]~P100(x69081)+E(f318(f94(x69081),x69082),f2(x69081))+~P30(x69081,f318(f94(x69081),f318(f318(f73(a1),x69082),f318(f72(a1),a76))))
% 202.84/202.78 [6965]~P1(f318(f55(x69651),x69652))+~P1(f318(f55(x69651),f233(f927(x69651,a918))))+P1(f318(f55(x69651),f318(f72(f927(x69651,a918)),x69652)))
% 202.84/202.78 [6988]~P1(f318(f318(f226(a1),f2(a1)),x69882))+~P1(f318(f318(f225(a1),x69882),x69881))+P1(f318(f318(f226(a1),f2(a1)),f318(f318(f30(a1),x69881),x69882)))
% 202.84/202.78 [6989]~P1(f318(f318(f225(a1),x69891),f2(a1)))+~P1(f318(f318(f226(a1),x69892),f2(a1)))+P1(f318(f318(f225(a1),f2(a1)),f318(f318(f30(a1),x69891),x69892)))
% 202.84/202.78 [7030]~P1(f318(f318(f225(a1),f2(a1)),x70302))+~P1(f318(f318(f225(a1),f2(a1)),x70301))+P1(f318(f318(f225(a1),f2(a1)),f318(f318(f74(a1),x70301),x70302)))
% 202.84/202.78 [7031]~P1(f318(f318(f225(a1),f2(a1)),x70312))+~P1(f318(f318(f225(a1),f2(a1)),x70311))+P1(f318(f318(f225(a1),f2(a1)),f318(f318(f73(a1),x70311),x70312)))
% 202.84/202.78 [7032]~P1(f318(f318(f225(a1),f2(a1)),x70322))+~P1(f318(f318(f225(a1),f2(a1)),x70321))+P1(f318(f318(f225(a1),f2(a1)),f318(f318(f30(a1),x70321),x70322)))
% 202.84/202.78 [7033]~P1(f318(f318(f225(a1),f2(a1)),x70331))+~P1(f318(f318(f226(a1),f2(a1)),x70332))+P1(f318(f318(f225(a1),f2(a1)),f318(f318(f30(a1),x70331),x70332)))
% 202.84/202.78 [7034]~P1(f318(f318(f226(a920),f2(a920)),x70342))+~P1(f318(f318(f226(a920),f2(a920)),x70341))+P1(f318(f318(f226(a920),f2(a920)),f318(f318(f74(a920),x70341),x70342)))
% 202.84/202.78 [7100]E(x71001,f2(a1))+E(f39(a1,x71002,x71001),f2(a1))+E(f318(f318(f3(a1),f318(f72(a1),f318(f318(f30(a1),x71002),x71001))),f71(a1)),f318(f318(f30(a1),f318(f72(a1),x71002)),x71001))
% 202.84/202.78 [7155]P1(f318(f318(f226(a920),f2(a920)),x71551))+P1(f318(f318(f226(a920),f2(a920)),x71552))+~P1(f318(f318(f226(a920),f2(a920)),f318(f318(f73(a920),x71552),x71551)))
% 202.84/202.78 [7159]~P86(x71591)+P1(f318(f318(f225(x71591),f2(x71591)),x71592))+~P1(f318(f318(f225(x71591),f2(x71591)),f318(f318(f73(x71591),x71592),x71592)))
% 202.84/202.78 [7160]~P86(x71601)+P1(f318(f318(f226(x71601),f2(x71601)),x71602))+~P1(f318(f318(f226(x71601),f2(x71601)),f318(f318(f73(x71601),x71602),x71602)))
% 202.84/202.78 [7211]~P1(f318(f55(x72111),x72112))+P1(f318(f55(x72111),f233(f927(x72111,a918))))+~P1(f318(f55(x72111),f318(f72(f927(x72111,a918)),x72112)))
% 202.84/202.78 [7277]P1(f318(f318(f225(a1),x72771),f2(a1)))+~P1(f318(f318(f226(a1),x72772),f2(a1)))+~P1(f318(f318(f225(a1),f2(a1)),f318(f318(f30(a1),x72771),x72772)))
% 202.84/202.78 [7283]~P1(f318(f318(f226(a1),f2(a1)),x72831))+P1(f318(f318(f225(a1),x72831),x72832))+~P1(f318(f318(f226(a1),f2(a1)),f318(f318(f30(a1),x72832),x72831)))
% 202.84/202.78 [7284]~P1(f318(f318(f225(a1),f2(a1)),x72842))+P1(f318(f318(f225(a1),x72841),x72842))+~P1(f318(f318(f226(a1),f2(a1)),f318(f318(f30(a1),x72842),x72841)))
% 202.84/202.78 [7314]P1(f318(f318(f225(a1),f2(a1)),x73141))+~P1(f318(f318(f226(a1),f2(a1)),x73142))+~P1(f318(f318(f225(a1),f2(a1)),f318(f318(f30(a1),x73141),x73142)))
% 202.84/202.78 [7315]P1(f318(f318(f226(a1),f2(a1)),x73151))+~P1(f318(f318(f225(a1),f2(a1)),x73152))+~P1(f318(f318(f226(a1),f2(a1)),f318(f318(f30(a1),x73152),x73151)))
% 202.84/202.78 [7760]~P1(f318(f55(x77602),f233(f927(x77602,a918))))+~P1(f318(f55(x77601),f233(f927(x77601,a918))))+P1(f318(f55(f926(x77601,x77602)),f233(f927(f926(x77601,x77602),a918))))
% 202.84/202.78 [7761]~P1(f318(f55(x77612),f233(f927(x77612,a918))))+~P1(f318(f55(x77611),f233(f927(x77611,a918))))+P1(f318(f55(f928(x77611,x77612)),f233(f927(f928(x77611,x77612),a918))))
% 202.84/202.78 [7833]~P1(f318(f318(f226(a920),f318(a103,f2(a920))),x78331))+~P1(f318(f318(f226(a920),f318(a103,f2(a920))),x78332))+P1(f318(f318(f226(a920),x78331),f318(f318(f74(a920),x78332),x78331)))
% 202.84/202.78 [7834]~P1(f318(f318(f226(a920),f318(a103,f2(a920))),x78341))+~P1(f318(f318(f226(a920),f318(a103,f2(a920))),x78342))+P1(f318(f318(f226(a920),x78341),f318(f318(f74(a920),x78341),x78342)))
% 202.84/202.78 [7868]E(f318(f29(x78681),f233(f927(x78681,a918))),f318(a103,f2(a920)))+P1(f318(f55(x78682),f233(f927(x78682,a918))))+~P1(f318(f55(f927(x78682,x78681)),f233(f927(f927(x78682,x78681),a918))))
% 202.84/202.78 [7994]~P1(f318(f318(f225(a920),f318(a103,f2(a920))),x79941))+~P1(f318(f318(f225(a920),f318(a103,f2(a920))),x79942))+P1(f318(f318(f225(a920),f318(a103,f2(a920))),f318(f318(f74(a920),x79941),x79942)))
% 202.84/202.78 [7995]~P1(f318(f318(f226(a920),f318(a103,f2(a920))),x79952))+~P1(f318(f318(f226(a920),f318(a103,f2(a920))),x79951))+P1(f318(f318(f226(a920),f318(a103,f2(a920))),f318(f318(f74(a920),x79951),x79952)))
% 202.84/202.78 [8344]~P113(x83441)+P42(a920,x83441,x83442)+~P1(f318(f318(f225(x83441),f318(x83442,f890(x83442,x83441))),f318(x83442,f318(a103,f890(x83442,x83441)))))
% 202.84/202.78 [8684]E(x86841,f104(x86842))+~P1(f318(f128(x86842),x86841))+E(f168(x86842,f318(f318(f10(a918,a918,x86842),a313),f318(f318(f9(x86842,x86842,a918),a315),f135(x86842,x86841))),x86841),f105(x86842,x86841))
% 202.84/202.78 [8782]~P43(x87822)+~P43(x87821)+E(f318(f301(a920,a1,f91(a1)),f318(f318(f92(f927(a920,a918)),f318(f301(a1,a920,a95),x87821)),f318(f301(a1,a920,a95),x87822))),f318(f318(f92(f927(a1,a918)),x87821),x87822))
% 202.84/202.78 [8783]~P43(x87832)+~P43(x87831)+E(f318(f301(a920,a1,f91(a1)),f318(f318(f101(f927(a920,a918)),f318(f301(a1,a920,a95),x87831)),f318(f301(a1,a920,a95),x87832))),f318(f318(f101(f927(a1,a918)),x87831),x87832))
% 202.84/202.78 [9455]~P100(x94551)+~E(f318(f94(x94551),x94552),f71(x94551))+P30(x94551,f318(f94(x94551),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f72(a1),x94552))))
% 202.84/202.78 [9701]~P100(x97011)+E(f318(f94(x97011),x97012),f71(x97011))+~P30(x97011,f318(f94(x97011),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f72(a1),x97012))))
% 202.84/202.78 [10465]E(x104651,f2(a1))+E(x104652,f2(a1))+E(f318(f249(a1,a1,a1,a1,f25(a1),f318(f74(a1),f75(a1,x104652))),f318(f318(f318(f85(f926(a1,a1)),f318(f318(a315,f75(a1,x104651)),f75(a1,x104652))),f47(x104651,x104652)),f318(f318(f248(a1,a1,f926(a1,a1)),f318(f318(f20(a1,f927(a1,f926(a1,a1)),f927(a1,f926(a1,a1))),f318(f318(f10(f927(a1,f927(f926(a1,a1),f926(a1,a1))),f927(f927(a1,f926(a1,a1)),f927(a1,f926(a1,a1))),a1),f20(a1,f926(a1,a1),f926(a1,a1))),f318(f318(f10(f926(a1,a1),f927(a1,f927(f926(a1,a1),f926(a1,a1))),a1),f318(f9(a1,f926(a1,a1),f927(f926(a1,a1),f926(a1,a1))),f318(f318(f10(a918,f927(f926(a1,a1),f927(f926(a1,a1),f926(a1,a1))),a1),f85(f926(a1,a1))),f318(f318(f9(a1,a1,a918),a315),f2(a1))))),f318(f318(f9(a1,a1,f926(a1,a1)),f318(f318(f10(a1,f927(a1,f926(a1,a1)),a1),f243(a1,a1)),f72(a1))),f2(a1))))),f318(f318(f9(a1,f927(a1,a1),f927(a1,f926(a1,a1))),f318(f318(f10(f927(a1,f926(a1,a1)),f927(f927(a1,a1),f927(a1,f926(a1,a1))),a1),f10(a1,f926(a1,a1),a1)),f318(f318(f10(a1,f927(a1,f926(a1,a1)),a1),f243(a1,a1)),f318(f318(f9(a1,a1,a1),f318(f318(f10(a1,f927(a1,a1),a1),f3(a1)),f72(a1))),f71(a1))))),f318(f3(a1),f318(f69(a1),x104652))))),f47(x104651,x104652)))),f40(x104651,x104652))
% 202.84/202.78 [10466]E(x104661,f2(a1))+E(x104662,f2(a1))+E(f318(f249(a1,a1,a1,a1,f25(a1),f318(f74(a1),f75(a1,x104662))),f318(f318(f318(f85(f926(a1,a1)),f318(f318(a317,f318(f318(a316,f318(f318(f226(a1),f2(a1)),x104662)),f318(f318(f225(a1),f2(a1)),x104661))),f318(f318(a316,f318(f318(f226(a1),x104662),f2(a1))),f318(f318(f226(a1),x104661),f2(a1))))),f47(x104661,x104662)),f318(f318(f248(a1,a1,f926(a1,a1)),f318(f318(f20(a1,f927(a1,f926(a1,a1)),f927(a1,f926(a1,a1))),f318(f318(f10(f927(a1,f927(f926(a1,a1),f926(a1,a1))),f927(f927(a1,f926(a1,a1)),f927(a1,f926(a1,a1))),a1),f20(a1,f926(a1,a1),f926(a1,a1))),f318(f318(f10(f926(a1,a1),f927(a1,f927(f926(a1,a1),f926(a1,a1))),a1),f318(f9(a1,f926(a1,a1),f927(f926(a1,a1),f926(a1,a1))),f318(f318(f10(a918,f927(f926(a1,a1),f927(f926(a1,a1),f926(a1,a1))),a1),f85(f926(a1,a1))),f318(f318(f9(a1,a1,a918),a315),f2(a1))))),f318(f318(f9(a1,a1,f926(a1,a1)),f318(f318(f10(a1,f927(a1,f926(a1,a1)),a1),f243(a1,a1)),f72(a1))),f2(a1))))),f318(f318(f9(a1,f927(a1,a1),f927(a1,f926(a1,a1))),f318(f318(f10(f927(a1,f926(a1,a1)),f927(f927(a1,a1),f927(a1,f926(a1,a1))),a1),f10(a1,f926(a1,a1),a1)),f318(f318(f10(a1,f927(a1,f926(a1,a1)),a1),f243(a1,a1)),f318(f318(f9(a1,a1,a1),f318(f318(f10(a1,f927(a1,a1),a1),f3(a1)),f72(a1))),f71(a1))))),f318(f3(a1),f318(f69(a1),x104662))))),f47(x104661,x104662)))),f40(x104661,x104662))
% 202.84/202.78 [5868]~P116(x58681)+~P100(x58681)+E(f318(f69(x58681),f318(f318(f235(x58681),f318(f94(x58681),a88)),x58682)),f71(x58681))
% 202.84/202.78 [6377]~P146(x63771)+~P1(f318(f318(f226(a1),x63772),f2(a1)))+E(f318(f72(x63771),f318(f91(x63771),f318(a95,f318(f72(a1),x63772)))),f318(f93(x63771),x63772))
% 202.84/202.78 [6583]P1(f318(f318(f225(a90),x65831),f71(a90)))+E(f318(f318(f73(a90),f71(a90)),f263(x65831,f318(f318(f30(a90),x65832),x65831))),f263(x65831,x65832))+P1(f318(f318(f226(a90),x65832),x65831))
% 202.84/202.78 [7200]~P99(x72001)+~P1(f318(f318(f320(x72001),x72002),f100(x72001)))+~E(f318(f318(f73(x72001),f318(f318(f73(x72001),f71(x72001)),x72002)),x72002),f2(x72001))
% 202.84/202.78 [7316]~P1(f318(f318(f225(a1),x73162),f2(a1)))+~P1(f318(f318(f226(a1),x73161),f2(a1)))+E(f318(f242(a1,a1),f318(a45,f41(f318(f72(a1),x73161),f318(f72(a1),x73162)))),f318(f318(f30(a1),x73161),x73162))
% 202.84/202.78 [7334]~P1(f318(f318(f225(a1),x73342),f2(a1)))+~P1(f318(f318(f226(a1),x73341),f2(a1)))+E(f318(f247(a1,a1),f318(a45,f41(f318(f72(a1),x73341),f318(f72(a1),x73342)))),f39(a1,x73341,x73342))
% 202.84/202.78 [7342]~P1(f318(f318(f226(a1),x73422),f2(a1)))+E(f318(f242(a1,a1),f318(a45,f44(f318(f72(a1),x73421),f318(f72(a1),x73422)))),f318(f318(f30(a1),x73421),x73422))+~P1(f318(f318(f226(a1),f2(a1)),x73421))
% 202.84/202.78 [7360]~P1(f318(f318(f226(a1),x73602),f2(a1)))+E(f318(f247(a1,a1),f318(a45,f44(f318(f72(a1),x73601),f318(f72(a1),x73602)))),f39(a1,x73601,x73602))+~P1(f318(f318(f226(a1),f2(a1)),x73601))
% 202.84/202.78 [7415]E(f318(f318(f30(a1),f318(f318(f235(a1),x74151),x74152)),x74151),f318(f318(f235(a1),x74151),f318(f318(f3(a920),x74152),f318(a103,f2(a920)))))+~P1(f318(f318(f226(a920),f2(a920)),x74152))+~P1(f318(f318(f226(a1),f2(a1)),x74151))
% 202.84/202.78 [7517]~P1(f318(f318(f226(a920),f2(a920)),x75171))+~P1(f318(f318(f226(a920),f2(a920)),x75172))+P1(f318(f318(f226(a920),f318(f318(f3(a920),x75171),x75172)),x75171))
% 202.84/202.78 [7518]~P1(f318(f318(f226(a920),f2(a920)),x75181))+~P1(f318(f318(f226(a920),f71(a920)),x75182))+P1(f318(f318(f226(a920),f318(f318(f30(a920),x75181),x75182)),x75181))
% 202.84/202.78 [7519]~P1(f318(f318(f226(a1),f2(a1)),x75191))+~P1(f318(f318(f226(a1),f71(a1)),x75192))+P1(f318(f318(f226(a1),f318(f318(f30(a1),x75191),x75192)),x75191))
% 202.84/202.78 [7655]E(x76551,f2(a920))+~E(x76552,f2(a1))+~P1(f318(f318(f226(a1),f2(a1)),f318(f318(f235(a1),f318(f69(a1),x76552)),x76551)))
% 202.84/202.78 [8026]~P1(f318(x80261,x80262))+P1(f318(x80261,f2(a920)))+E(f318(a103,f229(a920,f318(f318(f10(a920,a918,a920),x80261),a103))),f229(a920,x80261))
% 202.84/202.78 [8075]~E(x80752,f104(f921(x80751)))+E(f318(f180(f921(f921(x80751))),f170(x80751,x80752)),f2(a920))+~P13(a920,f318(f159(a920),f318(f318(f145(f921(x80751),a920),f180(f921(x80751))),x80752)))
% 202.84/202.78 [8331]P1(f318(x83311,x83312))+~P1(f318(x83311,f318(a97,f548(x83311,x83312))))+~P1(f318(f318(f320(f927(f926(a920,a920),a918)),x83312),a89))
% 202.84/202.78 [8348]E(x83481,f104(f921(x83482)))+E(f318(f180(f921(x83482)),f318(f318(f155(f921(x83482)),x83481),f2(a920))),f318(f180(f921(f921(x83482))),f170(x83482,x83481)))+~P13(a920,f318(f159(a920),f318(f318(f145(f921(x83482),a920),f180(f921(x83482))),x83481)))
% 202.84/202.78 [8489]~P40(x84891,x84892)+~P41(x84891,x84892)+P40(x84891,f318(f318(f3(f927(f926(x84891,x84891),a918)),x84892),f298(x84891,f179(f927(f926(x84891,x84891),a918)))))
% 202.84/202.78 [9069]~P1(f318(f55(x90691),f318(f253(x90691),x90692)))+~P1(f318(f55(x90691),f233(f927(x90691,a918))))+P1(f318(f55(x90691),f318(f253(x90691),f318(f318(f10(a918,a918,x90691),a313),x90692))))
% 202.84/202.78 [9135]E(f318(f318(f243(a920,a920),f318(a103,f318(f318(f30(a920),f318(f318(f3(a920),x91351),x91352)),x91352))),f39(a920,f318(f318(f3(a920),x91351),x91352),x91352)),f78(f926(a920,a920),f42(x91351,x91352)))+~P1(f318(f318(f226(a920),f2(a920)),x91352))+~P1(f318(f318(f225(a920),x91352),x91351))
% 202.84/202.78 [9421]~P1(f318(f55(x94211),f318(f253(x94211),x94212)))+P1(f318(f55(x94211),f233(f927(x94211,a918))))+~P1(f318(f55(x94211),f318(f253(x94211),f318(f318(f10(a918,a918,x94211),a313),x94212))))
% 202.84/202.78 [10147]P27(x101471,x101472)+~P39(x101471,f318(f242(f927(f926(x101471,x101471),a918),f927(f926(x101471,x101471),a918)),x101472))+~P1(f318(f318(f225(f927(f926(x101471,x101471),a918)),f318(f318(f280(x101471,x101471,x101471),f318(f242(f927(f926(x101471,x101471),a918),f927(f926(x101471,x101471),a918)),x101472)),f318(f247(f927(f926(x101471,x101471),a918),f927(f926(x101471,x101471),a918)),x101472))),f318(f242(f927(f926(x101471,x101471),a918),f927(f926(x101471,x101471),a918)),x101472)))
% 202.84/202.78 [10243]~E(f288(a920,f278(a920),f318(f318(f20(a920,f927(a920,a918),f927(a920,a918)),f318(f318(f10(f927(a920,f927(a918,a918)),f927(f927(a920,a918),f927(a920,a918)),a920),f20(a920,a918,a918)),f318(f318(f10(f927(a920,a918),f927(a920,f927(a918,a918)),a920),f318(f10(a918,f927(a918,a918),a920),a316)),f278(a920)))),f318(f318(f10(f927(a920,a918),f927(a920,a918),a920),f318(f10(a918,a918,a920),a313)),f318(f9(a920,a920,a918),f278(a920)))),x102432,x102431),f179(f927(a920,a918)))+~P1(f318(f318(f278(a920),x102432),x102431))+P1(f318(f318(f278(a920),x102431),x102432))
% 202.84/202.78 [10244]~E(f291(a920,f278(a920),f318(f318(f20(a920,f927(a920,a918),f927(a920,a918)),f318(f318(f10(f927(a920,f927(a918,a918)),f927(f927(a920,a918),f927(a920,a918)),a920),f20(a920,a918,a918)),f318(f318(f10(f927(a920,a918),f927(a920,f927(a918,a918)),a920),f318(f10(a918,f927(a918,a918),a920),a316)),f278(a920)))),f318(f318(f10(f927(a920,a918),f927(a920,a918),a920),f318(f10(a918,a918,a920),a313)),f318(f9(a920,a920,a918),f278(a920)))),x102442,x102441),f179(f927(a920,a918)))+~P1(f318(f318(f278(a920),x102442),x102441))+P1(f318(f318(f278(a920),x102441),x102442))
% 202.84/202.78 [7445]~P1(f318(f318(f226(a920),f2(a920)),x74452))+P1(f318(f318(f226(a920),x74451),x74452))+E(f318(a103,f318(f318(f30(a920),f318(f318(f3(a920),x74451),x74452)),x74452)),f318(f318(f30(a920),x74451),x74452))
% 202.84/202.78 [7582]~P1(f318(f318(f226(a920),f2(a920)),x75822))+~P1(f318(f318(f225(a920),x75822),x75821))+E(f318(a103,f318(f318(f30(a920),f318(f318(f3(a920),x75821),x75822)),x75822)),f318(f318(f30(a920),x75821),x75822))
% 202.84/202.78 [8553]~P100(x85531)+~P99(x85531)+~P30(x85531,f318(f94(x85531),f318(f318(f3(a1),f318(f318(f73(a1),x85532),x85532)),a88)))
% 202.84/202.78 [9326]E(x93261,f2(a920))+E(f318(f318(f248(a920,a920,f926(a920,a920)),f318(f318(f10(a920,f927(a920,f926(a920,a920)),a920),f243(a920,a920)),a103)),f78(f926(a920,a920),f42(f318(f318(f3(a920),x93262),x93261),x93261))),f78(f926(a920,a920),f42(x93262,x93261)))+P1(f318(f318(f226(a920),x93262),x93261))
% 202.84/202.78 [9509]~P40(x95091,x95092)+~P55(x95091,x95092)+P1(f318(f318(f225(f927(f926(x95091,x95091),a918)),f318(f318(f280(x95091,x95091,x95091),f318(f277(x95091,x95091),x95092)),x95092)),x95092))
% 202.84/202.78 [9765]P1(f318(x97652,f648(x97652,x97651)))+P1(f318(x97651,f648(x97652,x97651)))+E(f318(f253(a1),f318(f318(f20(a1,a918,a918),f318(f318(f10(a918,f927(a918,a918),a1),a316),f318(f225(a1),f2(a1)))),x97651)),f318(f253(a1),f318(f318(f20(a1,a918,a918),f318(f318(f10(a918,f927(a918,a918),a1),a316),f318(f225(a1),f2(a1)))),x97652)))
% 202.84/202.78 [9769]~P1(f318(x97692,f648(x97692,x97691)))+~P1(f318(x97691,f648(x97692,x97691)))+E(f318(f253(a1),f318(f318(f20(a1,a918,a918),f318(f318(f10(a918,f927(a918,a918),a1),a316),f318(f225(a1),f2(a1)))),x97691)),f318(f253(a1),f318(f318(f20(a1,a918,a918),f318(f318(f10(a918,f927(a918,a918),a1),a316),f318(f225(a1),f2(a1)))),x97692)))
% 202.84/202.78 [7791]~P100(x77911)+~P75(x77911)+E(f318(f318(f282(x77911),x77912),f318(f94(x77911),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88))),x77912)
% 202.84/202.78 [9454]~P100(x94541)+~E(f318(f94(x94541),x94542),f71(x94541))+P30(x94541,f318(f94(x94541),f318(f318(f73(a1),x94542),f318(f72(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))))
% 202.84/202.78 [9642]~P145(x96421)+~E(x96422,f2(x96421))+E(f318(f318(f235(x96421),x96422),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))),f2(x96421))
% 202.84/202.78 [9643]~P145(x96431)+~E(x96432,f71(x96431))+E(f318(f318(f235(x96431),x96432),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))),f71(x96431))
% 202.84/202.78 [9658]~P145(x96581)+~E(x96582,f318(f72(x96581),f71(x96581)))+E(f318(f318(f235(x96581),x96582),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))),f71(x96581))
% 202.84/202.78 [9702]~P100(x97021)+E(f318(f94(x97021),x97022),f71(x97021))+~P30(x97021,f318(f94(x97021),f318(f318(f73(a1),x97022),f318(f72(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))))
% 202.84/202.78 [10091]~P116(x100912)+E(x100911,f2(x100912))+P1(f318(f318(f226(x100912),f2(x100912)),f318(f318(f235(x100912),x100911),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88))))))
% 202.84/202.78 [10146]~P116(x101462)+~E(x101461,f2(x101462))+~P1(f318(f318(f226(x101462),f2(x101462)),f318(f318(f235(x101462),x101461),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88))))))
% 202.84/202.78 [10182]P1(f318(f318(f225(a1),x101821),f2(a1)))+P1(f318(f318(f226(a1),x101822),x101821))+E(f318(f37(x101821),f41(x101822,f318(f318(f74(a1),f318(f94(a1),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))),x101821))),f41(x101822,x101821))
% 202.84/202.78 [10183]~P1(f318(f318(f226(a1),f2(a1)),x101831))+P1(f318(f318(f226(a1),x101832),x101831))+E(f318(f37(x101831),f41(x101832,f318(f318(f74(a1),f318(f94(a1),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))),x101831))),f41(x101832,x101831))
% 202.84/202.78 [10184]P1(f318(f318(f225(a1),x101841),f2(a1)))+P1(f318(f318(f225(a1),f2(a1)),f318(f318(f73(a1),x101842),x101841)))+E(f318(f37(x101841),f44(x101842,f318(f318(f74(a1),f318(f94(a1),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))),x101841))),f44(x101842,x101841))
% 202.84/202.78 [10185]~P1(f318(f318(f226(a1),f2(a1)),x101851))+P1(f318(f318(f225(a1),f2(a1)),f318(f318(f73(a1),x101852),x101851)))+E(f318(f37(x101851),f44(x101852,f318(f318(f74(a1),f318(f94(a1),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))),x101851))),f44(x101852,x101851))
% 202.84/202.78 [10186]~P115(x101861)+~P1(f318(f318(f225(a1),f2(a1)),x101862))+E(f318(f91(x101861),f318(a95,f318(f318(f74(a1),f318(f94(a1),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))),x101862))),f318(f318(f73(x101861),f318(f91(x101861),f318(a95,x101862))),f318(f91(x101861),f318(a95,x101862))))
% 202.84/202.78 [5198]~P151(x51981,x51982,x51983)+~E(x51983,f2(a1))+P1(f318(x51981,x51982))
% 202.84/202.78 [5328]~P4(x53281)+~P13(x53281,x53283)+P13(x53281,f161(x53281,x53282,x53283))
% 202.84/202.78 [5329]~P4(x53291)+~P13(x53291,x53293)+P13(x53291,f168(x53291,x53292,x53293))
% 202.84/202.78 [4891]~P68(x48912)+~E(x48913,f318(f72(x48912),x48911))+E(x48911,f318(f72(x48912),x48913))
% 202.84/202.78 [4893]~P68(x48931)+~E(f318(f72(x48931),x48933),x48932)+E(f318(f72(x48931),x48932),x48933)
% 202.84/202.78 [4972]~P4(x49723)+E(x49721,x49722)+~E(f318(f295(x49723),x49721),f318(f295(x49723),x49722))
% 202.84/202.78 [4973]~P4(x49733)+E(x49731,x49732)+~E(f318(f273(x49733),x49731),f318(f273(x49733),x49732))
% 202.84/202.78 [4974]~P4(x49743)+E(x49741,x49742)+~E(f318(f274(x49743),x49741),f318(f274(x49743),x49742))
% 202.84/202.78 [4975]~P4(x49753)+E(x49751,x49752)+~E(f318(f292(x49753),x49751),f318(f292(x49753),x49752))
% 202.84/202.78 [4976]~P65(x49763)+E(x49761,x49762)+~E(f318(f72(x49763),x49761),f318(f72(x49763),x49762))
% 202.84/202.78 [4977]~P68(x49773)+E(x49771,x49772)+~E(f318(f72(x49773),x49771),f318(f72(x49773),x49772))
% 202.84/202.78 [4978]~P110(x49783)+E(x49781,x49782)+~E(f318(f91(x49783),x49781),f318(f91(x49783),x49782))
% 202.84/202.78 [4979]~P99(x49793)+E(x49791,x49792)+~E(f318(f93(x49793),x49791),f318(f93(x49793),x49792))
% 202.84/202.78 [5081]~P73(x50811)+~P1(f318(x50812,x50813))+P1(f318(f50(x50811),x50812))
% 202.84/202.78 [5118]~P73(x51183)+P1(f318(x51181,x51182))+~P1(f318(f51(x51183),x51181))
% 202.84/202.78 [5218]~P152(x52181,x52183,x52182)+~E(x52182,f2(a1))+P1(f318(x52181,f2(a1)))
% 202.84/202.78 [5254]~P122(x52542)+~P1(f318(x52541,x52543))+P1(f318(x52541,f229(x52542,x52541)))
% 202.84/202.78 [5261]~E(x52611,f2(a920))+E(f340(x52611,x52612,x52613),f179(f927(x52613,a918)))+~E(f318(f29(x52613),x52612),f318(a103,x52611))
% 202.84/202.78 [5412]~E(x54122,f2(a920))+E(f318(f242(a920,a920),x54121),f2(a920))+~P1(f318(f42(x54123,x54122),x54121))
% 202.84/202.78 [5451]P1(f318(x54511,x54512))+~E(x54513,f318(f91(a1),x54512))+~P1(f318(x54511,f318(a95,x54513)))
% 202.84/202.78 [5932]~E(x59323,f2(a920))+~P1(f318(x59321,x59322))+P1(f318(x59321,f39(a920,x59322,x59323)))
% 202.84/202.78 [5989]~P122(x59891)+~P1(f318(x59892,x59893))+~P1(f318(f318(f226(x59891),x59893),f229(x59891,x59892)))
% 202.84/202.78 [6173]~P111(x61732)+~P111(x61731)+E(f122(x61731,x61732,f123(x61731,x61733),f123(x61732,x61733)),f123(f926(x61731,x61732),x61733))
% 202.84/202.78 [6358]~E(x63583,f2(a920))+P1(f318(x63581,x63582))+~P1(f318(x63581,f39(a920,x63582,x63583)))
% 202.84/202.78 [6370]~P5(x63701)+~P1(f318(f318(f225(x63701),x63702),f318(x63703,x63702)))+P1(f318(f318(f225(x63701),x63702),f87(x63701,x63703)))
% 202.84/202.78 [7055]E(x70551,f2(a920))+~P1(f318(x70552,f355(x70551,x70553,x70552)))+P1(f318(x70552,f39(a920,x70553,x70551)))
% 202.84/202.78 [7165]~P5(x71651)+~P1(f318(f318(f225(x71651),x71652),f357(x71653,x71652,x71651)))+P1(f318(f318(f225(x71651),x71652),f32(x71651,x71653)))
% 202.84/202.78 [7166]~P5(x71661)+~P1(f318(f318(f225(x71661),x71662),f588(x71662,x71663,x71661)))+P1(f318(f318(f225(x71661),x71662),f32(x71661,x71663)))
% 202.84/202.78 [7168]~P1(f318(x71681,x71682))+~P1(f318(x71681,f355(x71683,x71682,x71681)))+P1(f318(x71681,f39(a920,x71682,x71683)))
% 202.84/202.78 [7271]E(x72711,f104(x72712))+E(f318(f318(f142(x72712),f693(x72713,x72711,x72712)),f696(x72713,x72711,x72712)),x72711)+~P1(f318(f318(f320(f921(x72712)),x72711),f152(x72712,x72713)))
% 202.84/202.78 [7303]~P146(x73031)+~P1(f318(f318(f320(x73031),x73032),f100(x73031)))+P1(f318(f318(f320(x73031),f318(f318(f235(x73031),x73032),x73033)),f100(x73031)))
% 202.84/202.78 [7627]P39(x76271,x76272)+~P1(f318(f318(f320(x76271),x76273),f602(x76272,x76271)))+P1(f318(f318(f320(x76271),f617(x76272,x76271,x76273)),f602(x76272,x76271)))
% 202.84/202.78 [7896]E(x78961,f104(x78962))+~P1(f318(f318(f320(f921(x78962)),x78961),f152(x78962,x78963)))+P1(f318(f318(f320(f921(x78962)),f696(x78963,x78961,x78962)),f152(x78962,x78963)))
% 202.84/202.78 [7948]E(x79481,f2(a920))+E(f318(f318(f73(a920),f318(f318(f74(a920),x79481),f356(x79481,x79482,x79483))),f355(x79481,x79482,x79483)),x79482)+P1(f318(x79483,f39(a920,x79482,x79481)))
% 202.84/202.78 [7989]~P1(f318(x79893,x79892))+E(f318(f318(f73(a920),f318(f318(f74(a920),x79891),f356(x79891,x79892,x79893))),f355(x79891,x79892,x79893)),x79892)+P1(f318(x79893,f39(a920,x79892,x79891)))
% 202.84/202.78 [8132]P1(f318(f318(f226(a1),x81321),f375(x81322,x81323,x81321)))+P1(f318(f318(x81323,f318(f318(f30(a1),x81322),x81321)),f39(a1,x81322,x81321)))+~P1(f318(f318(f226(a1),x81321),f2(a1)))
% 202.84/202.78 [8404]P1(f318(f318(x84042,f318(f318(f30(a1),x84041),x84043)),f39(a1,x84041,x84043)))+~P1(f318(f318(f226(a1),x84043),f2(a1)))+P1(f318(f318(f225(a1),f375(x84041,x84042,x84043)),f2(a1)))
% 202.84/202.78 [8588]E(f318(f318(f73(a1),f318(f318(f74(a1),x85881),f376(x85882,x85883,x85881))),f375(x85882,x85883,x85881)),x85882)+P1(f318(f318(x85883,f318(f318(f30(a1),x85882),x85881)),f39(a1,x85882,x85881)))+~P1(f318(f318(f226(a1),x85881),f2(a1)))
% 202.84/202.78 [8830]~P1(f318(f318(x88301,f376(x88302,x88301,x88303)),f375(x88302,x88301,x88303)))+P1(f318(f318(x88301,f318(f318(f30(a1),x88302),x88303)),f39(a1,x88302,x88303)))+~P1(f318(f318(f226(a1),x88303),f2(a1)))
% 202.84/202.78 [9082]~P4(x90821)+~P13(x90821,x90823)+P13(x90821,f140(x90821,x90821,f7(x90821),x90822,x90823))
% 202.84/202.78 [9587]~P131(x95872)+E(x95871,f2(x95872))+~P1(f318(f318(f225(x95872),f318(f318(f73(x95872),f318(f318(f74(x95872),x95873),x95873)),f318(f318(f74(x95872),x95871),x95871))),f2(x95872)))
% 202.84/202.78 [9588]~P131(x95882)+E(x95881,f2(x95882))+~P1(f318(f318(f225(x95882),f318(f318(f73(x95882),f318(f318(f74(x95882),x95881),x95881)),f318(f318(f74(x95882),x95883),x95883))),f2(x95882)))
% 202.84/202.78 [10397]~P116(x103971)+~P1(f318(f318(f226(x103971),x103972),f2(x103971)))+P1(f318(f318(f226(x103971),f318(f318(f235(x103971),x103972),f318(a103,f318(f318(f74(a920),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))),x103973)))),f2(x103971)))
% 202.84/202.78 [10406]~P116(x104062)+E(x104061,f2(x104062))+~P1(f318(f318(f225(x104062),f318(f318(f73(x104062),f318(f318(f235(x104062),x104063),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88))))),f318(f318(f235(x104062),x104061),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))))),f2(x104062)))
% 202.84/202.78 [10407]~P116(x104072)+E(x104071,f2(x104072))+~P1(f318(f318(f225(x104072),f318(f318(f73(x104072),f318(f318(f235(x104072),x104071),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88))))),f318(f318(f235(x104072),x104073),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))))),f2(x104072)))
% 202.84/202.78 [4927]~E(x49272,x49273)+~P68(x49271)+E(f318(f318(f3(x49271),x49272),x49273),f2(x49271))
% 202.84/202.78 [4928]~E(x49282,x49283)+~P69(x49281)+E(f318(f318(f3(x49281),x49282),x49283),f2(x49281))
% 202.84/202.78 [4941]~P149(x49411)+~E(x49413,f2(x49411))+E(f318(f318(f73(x49411),x49412),x49413),x49412)
% 202.84/202.78 [4958]~P138(x49581)+~E(x49583,f2(x49581))+E(f318(f318(f74(x49581),x49582),x49583),f2(x49581))
% 202.84/202.78 [4959]~P138(x49591)+~E(x49592,f2(x49591))+E(f318(f318(f74(x49591),x49592),x49593),f2(x49591))
% 202.84/202.78 [4981]~E(x49813,f104(x49811))+~E(x49812,f104(x49811))+E(f318(f318(f125(x49811),x49812),x49813),f104(x49811))
% 202.84/202.78 [5071]~P149(x50712)+E(x50711,f2(x50712))+~E(f318(f318(f73(x50712),x50713),x50711),x50713)
% 202.84/202.78 [5072]~P68(x50721)+~E(x50722,f318(f72(x50721),x50723))+E(f318(f318(f73(x50721),x50722),x50723),f2(x50721))
% 202.84/202.78 [5079]E(x50791,f104(x50792))+E(x50793,f2(a920))+~E(f318(f318(f166(x50792),x50793),x50791),f104(x50792))
% 202.84/202.78 [5085]~P68(x50853)+E(x50851,x50852)+~E(f318(f318(f3(x50853),x50851),x50852),f2(x50853))
% 202.84/202.78 [5086]~P69(x50863)+E(x50861,x50862)+~E(f318(f318(f3(x50863),x50861),x50862),f2(x50863))
% 202.84/202.78 [5100]~P145(x51002)+E(x51001,f2(x51002))+~E(f318(f318(f235(x51002),x51001),x51003),f2(x51002))
% 202.84/202.78 [5101]~P108(x51012)+E(x51011,f233(x51012))+~E(f318(f318(f92(x51012),x51013),x51011),f233(x51012))
% 202.84/202.78 [5102]~P108(x51022)+E(x51021,f233(x51022))+~E(f318(f318(f92(x51022),x51021),x51023),f233(x51022))
% 202.84/202.78 [5103]~P105(x51032)+E(x51031,f179(x51032))+~E(f318(f318(f101(x51032),x51033),x51031),f179(x51032))
% 202.84/202.78 [5104]~P105(x51042)+E(x51041,f179(x51042))+~E(f318(f318(f101(x51042),x51041),x51043),f179(x51042))
% 202.84/202.78 [5172]~P68(x51722)+E(x51721,f318(f72(x51722),x51723))+~E(f318(f318(f73(x51722),x51721),x51723),f2(x51722))
% 202.84/202.78 [5173]~P68(x51731)+E(f318(f72(x51731),x51732),x51733)+~E(f318(f318(f73(x51731),x51732),x51733),f2(x51731))
% 202.84/202.78 [5175]~E(x51752,x51753)+~P2(x51751)+P1(f318(f318(f225(x51751),x51752),x51753))
% 202.84/202.78 [5177]~E(x51772,x51773)+~P113(x51771)+P1(f318(f318(f225(x51771),x51772),x51773))
% 202.84/202.78 [5278]~P117(x52781)+~E(x52782,f318(f72(x52781),x52783))+E(f318(f318(f74(x52781),x52782),x52782),f318(f318(f74(x52781),x52783),x52783))
% 202.84/202.78 [5286]~P4(x52861)+~P13(x52861,x52863)+P13(x52861,f318(f318(f166(x52861),x52862),x52863))
% 202.84/202.78 [5287]~P4(x52871)+~P13(x52871,x52873)+P13(x52871,f318(f318(f129(x52871),x52872),x52873))
% 202.84/202.78 [5326]E(x53261,x53262)+E(x53263,f2(a920))+~E(f318(f318(f74(a920),x53263),x53261),f318(f318(f74(a920),x53263),x53262))
% 202.84/202.78 [5327]E(x53271,x53272)+E(x53273,f2(a920))+~E(f318(f318(f74(a920),x53271),x53273),f318(f318(f74(a920),x53272),x53273))
% 202.84/202.78 [5405]~E(x54052,x54053)+~P113(x54051)+E(f294(x54051,x54052,x54053),f318(f318(f300(x54051),x54052),f179(f927(x54051,a918))))
% 202.84/202.78 [5448]~E(x54481,x54482)+~P4(x54483)+~P1(f318(f318(f226(x54483),x54481),x54482))
% 202.84/202.78 [5449]~E(x54491,x54492)+~P113(x54493)+~P1(f318(f318(f226(x54493),x54491),x54492))
% 202.84/202.78 [5462]~P113(x54621)+E(f318(f293(x54621,x54622),x54623),f179(f927(x54621,a918)))+P1(f318(f318(f226(x54621),x54622),x54623))
% 202.84/202.78 [5510]~P113(x55101)+E(f296(x55101,x55102,x55103),f179(f927(x55101,a918)))+P1(f318(f318(f226(x55101),x55102),x55103))
% 202.84/202.78 [5511]~P113(x55111)+E(f294(x55111,x55112,x55113),f179(f927(x55111,a918)))+P1(f318(f318(f225(x55111),x55112),x55113))
% 202.84/202.78 [5512]~P113(x55121)+E(f179(f927(x55121,a918)),f296(x55121,x55122,x55123))+P1(f318(f318(f226(x55121),x55122),x55123))
% 202.84/202.78 [5513]~P113(x55131)+E(f179(f927(x55131,a918)),f294(x55131,x55132,x55133))+P1(f318(f318(f225(x55131),x55132),x55133))
% 202.84/202.78 [5521]~P103(x55211)+~E(f318(f318(f92(x55211),x55212),x55213),x55212)+P1(f318(f318(f225(x55211),x55212),x55213))
% 202.84/202.78 [5522]~P109(x55221)+~E(f318(f318(f101(x55221),x55222),x55223),x55223)+P1(f318(f318(f225(x55221),x55222),x55223))
% 202.84/202.78 [5523]~P4(x55231)+~E(f318(f318(f223(x55231),x55232),x55233),x55232)+P1(f318(f318(f225(x55231),x55232),x55233))
% 202.84/202.78 [5524]~P4(x55241)+~E(f318(f318(f224(x55241),x55242),x55243),x55243)+P1(f318(f318(f225(x55241),x55242),x55243))
% 202.84/202.78 [5543]~P4(x55431)+P13(x55431,x55432)+~P13(x55431,f318(f318(f142(x55431),x55433),x55432))
% 202.84/202.78 [5544]~P4(x55441)+P13(x55441,x55442)+~P13(x55441,f318(f318(f125(x55441),x55443),x55442))
% 202.84/202.78 [5545]~P4(x55451)+P13(x55451,x55452)+~P13(x55451,f318(f318(f125(x55451),x55452),x55453))
% 202.84/202.78 [5610]~P4(x56101)+P1(f318(f318(f225(x56101),x56103),x56102))+P1(f318(f318(f225(x56101),x56102),x56103))
% 202.84/202.78 [5615]~P4(x56151)+P1(f318(f318(f226(x56151),x56153),x56152))+P1(f318(f318(f225(x56151),x56152),x56153))
% 202.84/202.78 [5653]~P103(x56531)+E(f318(f318(f92(x56531),x56532),x56533),x56533)+~P1(f318(f318(f225(x56531),x56533),x56532))
% 202.84/202.78 [5655]~P103(x56551)+E(f318(f318(f92(x56551),x56552),x56553),x56552)+~P1(f318(f318(f225(x56551),x56552),x56553))
% 202.84/202.78 [5656]~P109(x56561)+E(f318(f318(f101(x56561),x56562),x56563),x56562)+~P1(f318(f318(f225(x56561),x56563),x56562))
% 202.84/202.78 [5658]~P109(x56581)+E(f318(f318(f101(x56581),x56582),x56583),x56583)+~P1(f318(f318(f225(x56581),x56582),x56583))
% 202.84/202.78 [5659]~P4(x56591)+E(f318(f318(f223(x56591),x56592),x56593),x56593)+~P1(f318(f318(f225(x56591),x56593),x56592))
% 202.84/202.78 [5661]~P4(x56611)+E(f318(f318(f223(x56611),x56612),x56613),x56612)+~P1(f318(f318(f225(x56611),x56612),x56613))
% 202.84/202.78 [5662]~P4(x56621)+E(f318(f318(f224(x56621),x56622),x56623),x56622)+~P1(f318(f318(f225(x56621),x56623),x56622))
% 202.84/202.78 [5664]~P4(x56641)+E(f318(f318(f224(x56641),x56642),x56643),x56643)+~P1(f318(f318(f225(x56641),x56642),x56643))
% 202.84/202.78 [5671]~P125(x56712)+E(x56711,f2(x56712))+E(f318(f318(f282(x56712),f318(f72(x56712),x56713)),f318(f72(x56712),x56711)),f318(f318(f282(x56712),x56713),x56711))
% 202.84/202.78 [5722]~P113(x57221)+E(f318(f293(x57221,x57222),x57223),f179(f927(x57221,a918)))+~P1(f318(f318(f225(x57221),x57223),x57222))
% 202.84/202.78 [5756]~P113(x57561)+E(f297(x57561,x57562,x57563),f179(f927(x57561,a918)))+~P1(f318(f318(f225(x57561),x57563),x57562))
% 202.84/202.78 [5757]~P113(x57571)+E(f296(x57571,x57572,x57573),f179(f927(x57571,a918)))+~P1(f318(f318(f225(x57571),x57573),x57572))
% 202.84/202.78 [5758]~P113(x57581)+E(f294(x57581,x57582,x57583),f179(f927(x57581,a918)))+~P1(f318(f318(f226(x57581),x57583),x57582))
% 202.84/202.78 [5801]~P122(x58011)+~P1(f318(x58012,x58013))+P1(f318(f318(f225(x58011),f229(x58011,x58012)),x58013))
% 202.84/202.78 [5811]~E(f318(f318(f3(a920),x58111),x58113),x58112)+E(x58111,f318(f318(f73(a920),x58112),x58113))+~P1(f318(f318(f225(a920),x58113),x58111))
% 202.84/202.78 [5812]~E(x58121,f318(f318(f73(a920),x58123),x58122))+E(f318(f318(f3(a920),x58121),x58122),x58123)+~P1(f318(f318(f225(a920),x58122),x58121))
% 202.84/202.78 [5857]~P1(f318(x58571,x58573))+P1(f318(x58571,f689(x58571,x58572)))+~P1(f318(f318(f225(a920),x58573),x58572))
% 202.84/202.78 [5858]~P1(f318(x58581,x58583))+P1(f318(x58581,f754(x58581,x58582)))+~P1(f318(f318(f226(a920),x58583),x58582))
% 202.84/202.78 [5866]~P113(x58661)+~E(f318(f293(x58661,x58662),x58663),f179(f927(x58661,a918)))+~P1(f318(f318(f226(x58661),x58662),x58663))
% 202.84/202.78 [5871]~P2(x58711)+~P1(f318(f318(f226(x58711),x58712),x58713))+P1(f318(f318(f225(x58711),x58712),x58713))
% 202.84/202.78 [5873]~P113(x58731)+~P1(f318(f318(f226(x58731),x58732),x58733))+P1(f318(f318(f225(x58731),x58732),x58733))
% 202.84/202.78 [5982]~P113(x59821)+~E(f296(x59821,x59822,x59823),f179(f927(x59821,a918)))+~P1(f318(f318(f226(x59821),x59822),x59823))
% 202.84/202.78 [5983]~P113(x59831)+~E(f294(x59831,x59832,x59833),f179(f927(x59831,a918)))+~P1(f318(f318(f225(x59831),x59832),x59833))
% 202.84/202.78 [5984]~P113(x59841)+~E(f179(f927(x59841,a918)),f296(x59841,x59842,x59843))+~P1(f318(f318(f226(x59841),x59842),x59843))
% 202.84/202.78 [5985]~P113(x59851)+~E(f179(f927(x59851,a918)),f294(x59851,x59852,x59853))+~P1(f318(f318(f225(x59851),x59852),x59853))
% 202.84/202.78 [5996]P1(f318(x59961,x59962))+~P1(f318(x59961,f732(x59961,x59963)))+~P1(f318(f318(f225(a920),x59962),x59963))
% 202.84/202.78 [5997]P1(f318(x59971,x59972))+~P1(f318(x59971,f755(x59971,x59973)))+~P1(f318(f318(f226(a920),x59972),x59973))
% 202.84/202.78 [6005]~E(x60051,f318(a103,x60053))+P1(f318(f318(f226(a920),x60051),f318(a103,x60052)))+~P1(f318(f318(f226(a920),x60053),x60052))
% 202.84/202.78 [6025]E(x60251,x60252)+~E(f318(f318(f74(a920),x60253),x60251),f318(f318(f74(a920),x60253),x60252))+~P1(f318(f318(f226(a920),f2(a920)),x60253))
% 202.84/202.78 [6085]E(f318(x60851,f351(x60851,x60852,x60853)),f71(a920))+~E(f318(f318(f8(x60853,a920),x60851),x60852),f71(a920))+~P1(f318(f55(x60853),x60852))
% 202.84/202.78 [6102]~P5(x61021)+P1(f318(f318(f225(x61021),x61022),f31(x61021,x61023)))+~P1(f318(f318(f320(x61021),x61022),x61023))
% 202.84/202.78 [6125]~P2(x61251)+~P1(f318(f318(f226(x61251),x61253),x61252))+~P1(f318(f318(f225(x61251),x61252),x61253))
% 202.84/202.78 [6129]~P2(x61291)+~P1(f318(f318(f226(x61291),x61293),x61292))+~P1(f318(f318(f226(x61291),x61292),x61293))
% 202.84/202.78 [6132]~P4(x61321)+~P1(f318(f318(f226(x61321),x61323),x61322))+~P1(f318(f318(f225(x61321),x61322),x61323))
% 202.84/202.78 [6133]~P4(x61331)+~P1(f318(f318(f226(x61331),x61333),x61332))+~P1(f318(f318(f226(x61331),x61332),x61333))
% 202.84/202.78 [6134]~P113(x61341)+~P1(f318(f318(f226(x61341),x61343),x61342))+~P1(f318(f318(f226(x61341),x61342),x61343))
% 202.84/202.78 [6156]~E(x61562,x61563)+~E(x61561,x61562)+E(f281(a920,f278(a920),x61561,x61562),f318(f318(f300(a920),x61563),f179(f927(a920,a918))))
% 202.84/202.78 [6165]~E(f318(x61652,f352(x61652,x61653,x61651)),f71(a920))+E(f318(f318(f11(x61651,a920),x61652),x61653),f71(a920))+~P1(f318(f55(x61651),x61653))
% 202.84/202.78 [6166]~E(f318(x61662,f403(x61662,x61663,x61661)),f2(a920))+E(f318(f318(f8(x61661,a920),x61662),x61663),f2(a920))+~P1(f318(f55(x61661),x61663))
% 202.84/202.78 [6182]~P3(x61821)+~P1(f318(f318(f226(x61821),x61823),x61822))+P1(f318(f318(f320(x61821),x61822),f318(f295(x61821),x61823)))
% 202.84/202.78 [6183]~P3(x61831)+~P1(f318(f318(f225(x61831),x61833),x61832))+P1(f318(f318(f320(x61831),x61832),f318(f274(x61831),x61833)))
% 202.84/202.78 [6184]~P3(x61841)+~P1(f318(f318(f226(x61841),x61842),x61843))+P1(f318(f318(f320(x61841),x61842),f318(f273(x61841),x61843)))
% 202.84/202.78 [6185]~P3(x61851)+~P1(f318(f318(f225(x61851),x61852),x61853))+P1(f318(f318(f320(x61851),x61852),f318(f292(x61851),x61853)))
% 202.84/202.78 [6186]~P120(x61861)+~P1(f318(f318(f278(x61861),x61862),x61863))+P1(f318(f318(f278(x61861),x61862),f318(f72(x61861),x61863)))
% 202.84/202.78 [6198]E(f318(x61981,f413(x61981,x61982,x61983)),f318(a103,f2(a920)))+~E(f318(f318(f8(x61983,a920),x61981),x61982),f318(a103,f2(a920)))+~P1(f318(f55(x61983),x61982))
% 202.84/202.78 [6282]~P5(x62821)+~P1(f318(f318(f320(x62821),x62823),x62822))+P1(f318(f318(f225(x62821),f32(x62821,x62822)),x62823))
% 202.84/202.78 [6302]~P1(f318(f318(f225(a920),x63021),x63023))+P1(f318(f318(f225(a920),x63021),x63022))+~P1(f318(f318(f225(a920),x63023),x63022))
% 202.84/202.78 [6303]~P1(f318(f318(f225(a1),x63031),x63033))+P1(f318(f318(f225(a1),x63031),x63032))+~P1(f318(f318(f225(a1),x63033),x63032))
% 202.84/202.78 [6323]~P3(x63231)+~P1(f318(f318(f320(x63231),x63233),f318(f274(x63231),x63232)))+P1(f318(f318(f225(x63231),x63232),x63233))
% 202.84/202.78 [6324]~P3(x63241)+~P1(f318(f318(f320(x63241),x63242),f318(f292(x63241),x63243)))+P1(f318(f318(f225(x63241),x63242),x63243))
% 202.84/202.78 [6325]~P3(x63251)+~P1(f318(f318(f320(x63251),x63253),f318(f295(x63251),x63252)))+P1(f318(f318(f226(x63251),x63252),x63253))
% 202.84/202.78 [6326]~P3(x63261)+~P1(f318(f318(f320(x63261),x63262),f318(f273(x63261),x63263)))+P1(f318(f318(f226(x63261),x63262),x63263))
% 202.84/202.78 [6327]~P120(x63271)+~P1(f318(f318(f278(x63271),x63272),f318(f72(x63271),x63273)))+P1(f318(f318(f278(x63271),x63272),x63273))
% 202.84/202.78 [6402]~P1(f318(x64021,x64022))+P1(f318(x64021,f786(x64021)))+~P1(f318(f318(f320(x64023),x64022),f233(f927(x64023,a918))))
% 202.84/202.78 [6512]~P113(x65121)+~P42(a920,x65121,x65122)+P1(f318(f318(f225(x65121),f318(x65122,x65123)),f318(x65122,f318(a103,x65123))))
% 202.84/202.78 [6546]~P76(x65461)+P1(f318(f318(f226(x65461),f2(x65461)),f404(x65463,x65462,x65461)))+P1(f318(f318(f225(x65461),x65462),x65463))
% 202.84/202.78 [6547]~P77(x65471)+P1(f318(f318(f226(x65471),f2(x65471)),f437(x65473,x65472,x65471)))+P1(f318(f318(f225(x65471),x65472),x65473))
% 202.84/202.78 [6617]~P67(x66171)+~P1(f318(f318(f225(x66171),x66173),f318(f72(x66171),x66172)))+P1(f318(f318(f225(x66171),x66172),f318(f72(x66171),x66173)))
% 202.84/202.78 [6619]~P67(x66191)+~P1(f318(f318(f226(x66191),x66193),f318(f72(x66191),x66192)))+P1(f318(f318(f226(x66191),x66192),f318(f72(x66191),x66193)))
% 202.84/202.78 [6631]~P1(f318(f318(f226(a920),x66311),x66313))+~P1(f318(f318(f226(a920),x66313),x66312))+P1(f318(f318(f226(a920),f318(a103,x66311)),x66312))
% 202.84/202.78 [6659]~P135(x66591)+P1(f318(f318(f225(x66591),f318(f91(x66591),x66592)),f318(f91(x66591),x66593)))+~P1(f318(f318(f225(a920),x66592),x66593))
% 202.84/202.78 [6660]~P116(x66601)+P1(f318(f318(f225(x66601),f318(f93(x66601),x66602)),f318(f93(x66601),x66603)))+~P1(f318(f318(f225(a1),x66602),x66603))
% 202.84/202.78 [6662]~P116(x66621)+P1(f318(f318(f226(x66621),f318(f93(x66621),x66622)),f318(f93(x66621),x66623)))+~P1(f318(f318(f226(a1),x66622),x66623))
% 202.84/202.78 [6663]~P135(x66631)+P1(f318(f318(f226(x66631),f318(f91(x66631),x66632)),f318(f91(x66631),x66633)))+~P1(f318(f318(f226(a920),x66632),x66633))
% 202.84/202.78 [6669]~P4(x66691)+E(f318(f318(f101(f927(x66691,a918)),f318(f273(x66691),x66692)),f318(f293(x66691,x66692),x66693)),f318(f273(x66691),x66693))+~P1(f318(f318(f225(x66691),x66692),x66693))
% 202.84/202.78 [6699]~P65(x66991)+~P1(f318(f318(f225(x66991),x66993),x66992))+P1(f318(f318(f225(x66991),f318(f72(x66991),x66992)),f318(f72(x66991),x66993)))
% 202.84/202.78 [6701]~P67(x67011)+~P1(f318(f318(f225(x67011),x67013),x67012))+P1(f318(f318(f225(x67011),f318(f72(x67011),x67012)),f318(f72(x67011),x67013)))
% 202.84/202.78 [6702]~P67(x67021)+~P1(f318(f318(f226(x67021),x67023),x67022))+P1(f318(f318(f226(x67021),f318(f72(x67021),x67022)),f318(f72(x67021),x67023)))
% 202.84/202.78 [6737]~P4(x67371)+E(f318(f318(f101(f927(x67371,a918)),f318(f273(x67371),x67372)),f294(x67371,x67372,x67373)),f318(f292(x67371),x67373))+~P1(f318(f318(f225(x67371),x67372),x67373))
% 202.84/202.78 [6738]~P4(x67381)+E(f318(f318(f101(f927(x67381,a918)),f318(f292(x67381),x67382)),f297(x67381,x67382,x67383)),f318(f273(x67381),x67383))+~P1(f318(f318(f226(x67381),x67382),x67383))
% 202.84/202.78 [6739]~P4(x67391)+E(f318(f318(f101(f927(x67391,a918)),f318(f292(x67391),x67392)),f296(x67391,x67392,x67393)),f318(f292(x67391),x67393))+~P1(f318(f318(f225(x67391),x67392),x67393))
% 202.84/202.78 [6776]~P4(x67761)+E(f318(f318(f101(f927(x67761,a918)),f318(f293(x67761,x67762),x67763)),f318(f274(x67761),x67763)),f318(f274(x67761),x67762))+~P1(f318(f318(f225(x67761),x67762),x67763))
% 202.84/202.78 [6844]~P5(x68441)+~P1(f318(f318(f225(x68441),f318(x68442,x68443)),x68443))+P1(f318(f318(f225(x68441),f86(x68441,x68442)),x68443))
% 202.84/202.78 [6935]~P4(x69351)+E(f318(f318(f101(f927(x69351,a918)),f297(x69351,x69352,x69353)),f318(f274(x69351),x69353)),f318(f295(x69351),x69352))+~P1(f318(f318(f226(x69351),x69352),x69353))
% 202.84/202.78 [6936]~P4(x69361)+E(f318(f318(f101(f927(x69361,a918)),f296(x69361,x69362,x69363)),f318(f295(x69361),x69363)),f318(f295(x69361),x69362))+~P1(f318(f318(f225(x69361),x69362),x69363))
% 202.84/202.78 [6937]~P4(x69371)+E(f318(f318(f101(f927(x69371,a918)),f294(x69371,x69372,x69373)),f318(f295(x69371),x69373)),f318(f274(x69371),x69372))+~P1(f318(f318(f225(x69371),x69372),x69373))
% 202.84/202.78 [6956]P1(f318(x69561,x69562))+~P1(f318(f318(f225(a920),x69562),x69563))+P1(f318(f318(f320(a920),f732(x69561,x69563)),f294(a920,f2(a920),x69563)))
% 202.84/202.78 [6990]E(x69901,x69902)+~E(f318(f318(f155(x69903),x69901),f657(x69903,x69902,x69901)),f318(f318(f155(x69903),x69902),f657(x69903,x69902,x69901)))+~E(f318(f180(f921(x69903)),x69901),f318(f180(f921(x69903)),x69902))
% 202.84/202.78 [6995]~E(x69953,f318(f318(f30(a920),x69951),x69952))+~P1(f318(f318(f226(a920),f2(a920)),x69952))+P1(f318(f318(f226(a920),x69951),f318(f318(f74(a920),x69952),f318(a103,x69953))))
% 202.84/202.78 [7012]~P1(f318(x70121,x70123))+~P1(f318(f318(f225(a920),x70123),x70122))+P1(f318(f318(f320(a920),f689(x70121,x70122)),f294(a920,f2(a920),x70122)))
% 202.84/202.78 [7053]~P1(f318(x70531,x70533))+P1(f318(x70531,f714(x70531,x70532)))+~P1(f318(f318(f320(a920),x70533),f294(a920,f2(a920),x70532)))
% 202.84/202.78 [7072]~P135(x70723)+~P1(f318(f318(f225(x70723),f318(f91(x70723),x70721)),f318(f91(x70723),x70722)))+P1(f318(f318(f225(a920),x70721),x70722))
% 202.84/202.78 [7073]~P116(x70733)+~P1(f318(f318(f225(x70733),f318(f93(x70733),x70731)),f318(f93(x70733),x70732)))+P1(f318(f318(f225(a1),x70731),x70732))
% 202.84/202.78 [7075]~P135(x70753)+~P1(f318(f318(f226(x70753),f318(f91(x70753),x70751)),f318(f91(x70753),x70752)))+P1(f318(f318(f226(a920),x70751),x70752))
% 202.84/202.78 [7076]~P116(x70763)+~P1(f318(f318(f226(x70763),f318(f93(x70763),x70761)),f318(f93(x70763),x70762)))+P1(f318(f318(f226(a1),x70761),x70762))
% 202.84/202.78 [7093]~P135(x70931)+~P1(f318(f318(f226(x70931),f71(x70931)),x70932))+P1(f318(f318(f226(x70931),f71(x70931)),f318(f318(f235(x70931),x70932),f318(a103,x70933))))
% 202.84/202.78 [7096]~P65(x70961)+~P1(f318(f318(f225(x70961),f318(f72(x70961),x70963)),f318(f72(x70961),x70962)))+P1(f318(f318(f225(x70961),x70962),x70963))
% 202.84/202.78 [7097]~P67(x70971)+~P1(f318(f318(f225(x70971),f318(f72(x70971),x70973)),f318(f72(x70971),x70972)))+P1(f318(f318(f225(x70971),x70972),x70973))
% 202.84/202.78 [7098]~P67(x70981)+~P1(f318(f318(f226(x70981),f318(f72(x70981),x70983)),f318(f72(x70981),x70982)))+P1(f318(f318(f226(x70981),x70982),x70983))
% 202.84/202.78 [7122]P1(f318(x71221,x71222))+~P1(f318(x71221,f722(x71221,x71223)))+~P1(f318(f318(f320(a920),x71222),f294(a920,f2(a920),x71223)))
% 202.84/202.78 [7143]~P76(x71431)+P1(f318(f318(f226(x71431),f404(x71433,x71432,x71431)),f71(x71431)))+P1(f318(f318(f225(x71431),x71432),x71433))
% 202.84/202.78 [7162]~E(f39(a920,x71623,x71622),f39(a920,x71621,x71622))+E(f318(f318(f73(a920),x71621),f318(f318(f74(a920),x71622),f416(x71621,x71622,x71623))),x71623)+~P1(f318(f318(f225(a920),x71621),x71623))
% 202.84/202.78 [7218]E(f318(f318(f11(x72181,a920),x72182),x72183),f71(a920))+~P1(f318(f55(x72181),x72183))+P1(f318(f318(f320(x72181),f352(x72182,x72183,x72181)),x72183))
% 202.84/202.78 [7219]E(f318(f318(f8(x72191,a920),x72192),x72193),f2(a920))+~P1(f318(f55(x72191),x72193))+P1(f318(f318(f320(x72191),f403(x72192,x72193,x72191)),x72193))
% 202.84/202.78 [7241]~P4(x72411)+~P1(f318(f318(f225(x72411),x72413),x72412))+P1(f318(f318(f225(f927(x72411,a918)),f318(f295(x72411),x72412)),f318(f295(x72411),x72413)))
% 202.84/202.78 [7242]~P4(x72421)+~P1(f318(f318(f225(x72421),x72422),x72423))+P1(f318(f318(f225(f927(x72421,a918)),f318(f273(x72421),x72422)),f318(f273(x72421),x72423)))
% 202.84/202.78 [7243]~P113(x72431)+~P1(f318(f318(f225(x72431),x72433),x72432))+P1(f318(f318(f225(f927(x72431,a918)),f318(f274(x72431),x72432)),f318(f274(x72431),x72433)))
% 202.84/202.78 [7244]~P113(x72441)+~P1(f318(f318(f225(x72441),x72442),x72443))+P1(f318(f318(f225(f927(x72441,a918)),f318(f292(x72441),x72442)),f318(f292(x72441),x72443)))
% 202.84/202.78 [7245]~P4(x72451)+~P1(f318(f318(f226(x72451),x72452),x72453))+P1(f318(f318(f226(f927(x72451,a918)),f318(f273(x72451),x72452)),f318(f273(x72451),x72453)))
% 202.84/202.78 [7256]~P5(x72561)+P1(f318(f318(f225(x72561),x72562),f32(x72561,x72563)))+P1(f318(f318(f320(x72561),f357(x72563,x72562,x72561)),x72563))
% 202.84/202.78 [7257]~P5(x72571)+P1(f318(f318(f225(x72571),x72572),f32(x72571,x72573)))+P1(f318(f318(f320(x72571),f588(x72572,x72573,x72571)),x72573))
% 202.84/202.78 [7263]~P67(x72631)+P1(f318(f318(f225(x72631),f318(f318(f3(x72631),x72632),x72633)),f2(x72631)))+~P1(f318(f318(f225(x72631),x72632),x72633))
% 202.84/202.78 [7264]~P67(x72641)+P1(f318(f318(f226(x72641),f318(f318(f3(x72641),x72642),x72643)),f2(x72641)))+~P1(f318(f318(f226(x72641),x72642),x72643))
% 202.84/202.78 [7306]P1(f318(x73061,x73062))+P1(f318(f318(f225(a920),f722(x73061,x73063)),x73063))+~P1(f318(f318(f320(a920),x73062),f294(a920,f2(a920),x73063)))
% 202.84/202.78 [7349]~E(f318(f318(f8(x73491,a920),x73492),x73493),f71(a920))+~P1(f318(f55(x73491),x73493))+P1(f318(f318(f320(x73491),f351(x73492,x73493,x73491)),x73493))
% 202.84/202.78 [7350]~P1(f318(x73501,x73503))+P1(f318(f318(f225(a920),f714(x73501,x73502)),x73502))+~P1(f318(f318(f320(a920),x73503),f294(a920,f2(a920),x73502)))
% 202.84/202.78 [7391]~P5(x73911)+P1(f318(f318(f320(x73911),f349(x73913,x73912,x73911)),x73912))+P1(f318(f318(f225(x73911),f31(x73911,x73912)),x73913))
% 202.84/202.78 [7392]~P5(x73921)+P1(f318(f318(f320(x73921),f604(x73923,x73922,x73921)),x73922))+P1(f318(f318(f225(x73921),f31(x73921,x73922)),x73923))
% 202.84/202.78 [7426]~E(f318(f318(f8(x74261,a920),x74262),x74263),f318(a103,f2(a920)))+~P1(f318(f55(x74261),x74263))+P1(f318(f318(f320(x74261),f413(x74262,x74263,x74261)),x74263))
% 202.84/202.78 [7437]E(x74371,f2(a920))+P1(f318(x74372,f39(a920,x74373,x74371)))+P1(f318(f318(f226(a920),f355(x74371,x74373,x74372)),x74371))
% 202.84/202.78 [7546]~P1(f318(x75461,x75462))+P1(f318(x75461,f39(a920,x75462,x75463)))+P1(f318(f318(f226(a920),f355(x75463,x75462,x75461)),x75463))
% 202.84/202.78 [7659]E(x76591,f104(x76592))+~P1(f318(f318(f320(f921(x76592)),x76591),f152(x76592,x76593)))+P1(f318(f318(f320(x76592),f693(x76593,x76591,x76592)),x76593))
% 202.84/202.78 [7681]~P4(x76811)+E(f318(f318(f101(f927(x76811,a918)),f318(f318(f300(x76811),x76812),f179(f927(x76811,a918)))),f297(x76811,x76812,x76813)),f318(f293(x76811,x76812),x76813))+~P1(f318(f318(f226(x76811),x76812),x76813))
% 202.84/202.78 [7703]~P4(x77031)+E(f318(f318(f101(f927(x77031,a918)),f318(f318(f300(x77031),x77032),f179(f927(x77031,a918)))),f296(x77031,x77032,x77033)),f294(x77031,x77032,x77033))+~P1(f318(f318(f225(x77031),x77032),x77033))
% 202.84/202.78 [7813]~P4(x78131)+P1(f318(f318(f225(x78131),x78132),x78133))+~P1(f318(f318(f225(f927(x78131,a918)),f318(f295(x78131),x78133)),f318(f295(x78131),x78132)))
% 202.84/202.78 [7814]~P113(x78141)+P1(f318(f318(f225(x78141),x78142),x78143))+~P1(f318(f318(f225(f927(x78141,a918)),f318(f274(x78141),x78143)),f318(f274(x78141),x78142)))
% 202.84/202.78 [7815]~P4(x78151)+P1(f318(f318(f225(x78151),x78152),x78153))+~P1(f318(f318(f225(f927(x78151,a918)),f318(f273(x78151),x78152)),f318(f273(x78151),x78153)))
% 202.84/202.78 [7816]~P113(x78161)+P1(f318(f318(f225(x78161),x78162),x78163))+~P1(f318(f318(f225(f927(x78161,a918)),f318(f292(x78161),x78162)),f318(f292(x78161),x78163)))
% 202.84/202.78 [7817]~P4(x78171)+P1(f318(f318(f226(x78171),x78172),x78173))+~P1(f318(f318(f226(f927(x78171,a918)),f318(f273(x78171),x78172)),f318(f273(x78171),x78173)))
% 202.84/202.78 [7840]~P67(x78401)+~P1(f318(f318(f225(x78401),f318(f318(f3(x78401),x78402),x78403)),f2(x78401)))+P1(f318(f318(f225(x78401),x78402),x78403))
% 202.84/202.78 [7841]~P67(x78411)+~P1(f318(f318(f226(x78411),f318(f318(f3(x78411),x78412),x78413)),f2(x78411)))+P1(f318(f318(f226(x78411),x78412),x78413))
% 202.84/202.78 [7996]E(x79961,f2(a920))+~E(f318(f133(a920,a920,f73(a920),x79962),x79963),f2(a920))+~P1(f318(f318(f320(a920),x79961),f318(f163(a920),x79963)))
% 202.84/202.78 [8000]~P5(x80001)+~P1(f318(f318(f225(x80001),f349(x80003,x80002,x80001)),x80003))+P1(f318(f318(f225(x80001),f31(x80001,x80002)),x80003))
% 202.84/202.78 [8001]~P5(x80011)+~P1(f318(f318(f225(x80011),f604(x80013,x80012,x80011)),x80013))+P1(f318(f318(f225(x80011),f31(x80011,x80012)),x80013))
% 202.84/202.78 [8157]P1(f318(f318(f225(a1),f2(a1)),f370(x81571,x81572,x81573)))+P1(f318(f318(x81572,f318(f318(f30(a1),x81571),x81573)),f39(a1,x81571,x81573)))+~P1(f318(f318(f226(a1),f2(a1)),x81573))
% 202.84/202.78 [8246]E(x82461,x82462)+~E(f318(f180(f921(x82463)),x82461),f318(f180(f921(x82463)),x82462))+~P1(f318(f318(f248(x82463,x82463,a918),a315),f668(x82463,x82461,x82462)))
% 202.84/202.78 [8318]~P39(x83182,x83183)+E(x83181,f179(f927(x83182,a918)))+~P1(f318(f318(f225(f927(x83182,a918)),x83181),f318(f276(x83182,x83182,x83183),x83181)))
% 202.84/202.78 [8350]~P77(x83501)+~P1(f318(f318(f225(x83501),x83502),f318(f318(f73(x83501),x83503),f437(x83503,x83502,x83501))))+P1(f318(f318(f225(x83501),x83502),x83503))
% 202.84/202.78 [8386]P56(x83861,x83862,x83863)+P1(f318(f318(f320(x83861),f537(x83863,x83862,x83861)),x83862))+P1(f318(f318(f320(f926(x83861,x83861)),f538(x83863,x83862,x83861)),x83863))
% 202.84/202.78 [8407]P1(f318(f318(x84072,f318(f318(f30(a1),x84071),x84073)),f39(a1,x84071,x84073)))+~P1(f318(f318(f226(a1),f2(a1)),x84073))+P1(f318(f318(f226(a1),f370(x84071,x84072,x84073)),x84073))
% 202.84/202.78 [8431]E(f318(f301(a920,a920,f318(f318(f9(a920,a920,a920),f3(a920)),x84311)),f318(f293(a920,x84312),x84313)),f179(f927(a920,a918)))+P1(f318(f318(f226(a920),x84311),x84313))+P1(f318(f318(f226(a920),x84312),x84313))
% 202.84/202.78 [8542]E(f318(f301(a920,a920,f318(f318(f9(a920,a920,a920),f3(a920)),x85421)),f318(f293(a920,x85422),x85423)),f318(f318(f300(a920),f2(a920)),f179(f927(a920,a918))))+P1(f318(f318(f226(a920),x85421),x85423))+~P1(f318(f318(f226(a920),x85422),x85423))
% 202.84/202.78 [8556]~P4(x85561)+E(f140(x85561,x85561,f7(x85561),x85562,x85563),x85563)+~P1(f318(f318(f320(x85561),x85562),f318(f163(x85561),x85563)))
% 202.84/202.78 [8569]P25(x85691,x85691,x85692,x85693)+~P1(f318(f55(x85691),x85693))+~P1(f318(f318(f225(f927(x85691,a918)),x85693),f318(f301(x85691,x85691,x85692),x85693)))
% 202.84/202.78 [8596]E(f318(f318(f73(a1),f318(f318(f74(a1),x85961),f371(x85962,x85963,x85961))),f370(x85962,x85963,x85961)),x85962)+P1(f318(f318(x85963,f318(f318(f30(a1),x85962),x85961)),f39(a1,x85962,x85961)))+~P1(f318(f318(f226(a1),f2(a1)),x85961))
% 202.84/202.78 [8837]~P1(f318(f318(x88371,f371(x88372,x88371,x88373)),f370(x88372,x88371,x88373)))+P1(f318(f318(x88371,f318(f318(f30(a1),x88372),x88373)),f39(a1,x88372,x88373)))+~P1(f318(f318(f226(a1),f2(a1)),x88373))
% 202.84/202.78 [9733]~P1(f318(f55(x97331),x97332))+~P1(f318(f318(f320(x97331),x97333),x97332))+P1(f318(f318(f226(a920),f318(f29(x97331),f318(f318(f3(f927(x97331,a918)),x97332),f318(f318(f300(x97331),x97333),f179(f927(x97331,a918)))))),f318(f29(x97331),x97332)))
% 202.84/202.78 [10340]P56(x103401,x103402,x103403)+~P1(f318(f318(f248(x103401,x103401,a918),f318(f318(f9(x103401,f927(x103401,a918),f927(x103401,a918)),f318(f318(f10(f927(a918,a918),f927(f927(x103401,a918),f927(x103401,a918)),x103401),f10(a918,a918,x103401)),f318(f318(f10(a918,f927(a918,a918),x103401),a316),f318(f318(f9(x103401,f927(x103401,a918),a918),f320(x103401)),x103402)))),f318(f318(f9(x103401,f927(x103401,a918),a918),f320(x103401)),x103402))),f538(x103403,x103402,x103401)))+P1(f318(f318(f320(x103401),f537(x103403,x103402,x103401)),x103402))
% 202.84/202.78 [5632]~P125(x56322)+E(x56321,f2(x56322))+E(f318(f318(f282(x56322),x56323),f318(f72(x56322),x56321)),f318(f72(x56322),f318(f318(f282(x56322),x56323),x56321)))
% 202.84/202.78 [5772]~E(x57723,f179(f927(x57721,a918)))+~E(x57722,f179(f927(x57721,a918)))+E(f318(f318(f101(f927(x57721,a918)),x57722),x57723),f179(f927(x57721,a918)))
% 202.84/202.78 [5831]~E(x58313,f2(a920))+~P1(f318(x58311,f2(a920)))+P1(f318(x58311,f318(f318(f30(a920),x58312),x58313)))
% 202.84/202.78 [5974]~P77(x59742)+E(x59741,f2(x59742))+E(f318(f318(f282(x59742),f318(f69(x59742),x59743)),f318(f69(x59742),x59741)),f318(f69(x59742),f318(f318(f282(x59742),x59743),x59741)))
% 202.84/202.78 [6095]~P70(x60951)+E(f318(f318(f74(x60951),x60952),f318(f318(f30(x60951),x60953),x60952)),x60953)+~P1(f318(f318(f278(x60951),x60952),x60953))
% 202.84/202.78 [6150]~P1(f318(f55(x61501),x61503))+E(f318(f29(x61501),f318(f318(f300(x61501),x61502),x61503)),f318(a103,f318(f29(x61501),x61503)))+P1(f318(f318(f320(x61501),x61502),x61503))
% 202.84/202.78 [6230]~E(x62302,f2(a920))+P1(f318(x62301,f2(a920)))+~P1(f318(x62301,f318(f318(f30(a920),x62303),x62302)))
% 202.84/202.78 [6247]~P1(f318(f55(x62471),x62473))+E(f318(f29(x62471),f318(f318(f300(x62471),x62472),x62473)),f318(f29(x62471),x62473))+~P1(f318(f318(f320(x62471),x62472),x62473))
% 202.84/202.78 [6284]~P1(f318(f55(x62841),x62843))+E(f318(f29(x62841),f318(f318(f300(x62841),x62842),x62843)),f318(f318(f73(a920),f71(a920)),f318(f29(x62841),x62843)))+P1(f318(f318(f320(x62841),x62842),x62843))
% 202.84/202.78 [6291]~P71(x62911)+E(f318(f318(f30(x62911),x62912),f318(f72(x62911),x62913)),f318(f72(x62911),f318(f318(f30(x62911),x62912),x62913)))+~P1(f318(f318(f278(x62911),x62913),x62912))
% 202.84/202.78 [6403]E(f318(f318(f73(a920),x64031),f884(x64031,x64032,x64033)),x64032)+~P1(f318(x64033,f2(a920)))+P1(f318(x64033,f318(f318(f3(a920),x64032),x64031)))
% 202.84/202.78 [6404]E(f318(f318(f73(a920),x64041),f885(x64041,x64042,x64043)),x64042)+~P1(f318(x64043,f2(a920)))+P1(f318(x64043,f318(f318(f3(a920),x64042),x64041)))
% 202.84/202.78 [6427]~P71(x64271)+E(f318(f318(f30(x64271),f318(f72(x64271),x64272)),x64273),f318(f72(x64271),f318(f318(f30(x64271),x64272),x64273)))+~P1(f318(f318(f278(x64271),x64273),x64272))
% 202.84/202.78 [6451]~P5(x64511)+~P1(f318(f55(x64511),x64513))+E(f318(f318(f58(x64511,x64511,f92(x64511)),x64512),x64513),f318(f318(f92(x64511),x64512),f32(x64511,x64513)))
% 202.84/202.78 [6452]~P5(x64521)+~P1(f318(f55(x64521),x64523))+E(f318(f318(f58(x64521,x64521,f101(x64521)),x64522),x64523),f318(f318(f101(x64521),x64522),f31(x64521,x64523)))
% 202.84/202.78 [6458]~P100(x64581)+~E(f318(f94(x64581),x64582),f318(f94(x64581),x64583))+P30(x64581,f318(f94(x64581),f318(f318(f73(a1),x64582),f318(f72(a1),x64583))))
% 202.84/202.78 [6467]~P146(x64671)+E(f318(f318(f3(x64671),f318(f91(x64671),x64672)),f318(f91(x64671),x64673)),f318(f91(x64671),f318(f318(f3(a920),x64672),x64673)))+~P1(f318(f318(f225(a920),x64673),x64672))
% 202.84/202.78 [6474]~P120(x64741)+~P1(f318(f318(f278(x64741),x64742),x64743))+P1(f318(f318(f278(x64741),f318(f72(x64741),x64742)),x64743))
% 202.84/202.78 [6557]E(f318(f318(f73(a920),x65571),f884(x65571,x65572,x65573)),x65572)+P1(f318(f318(f226(a920),x65572),x65571))+P1(f318(x65573,f318(f318(f3(a920),x65572),x65571)))
% 202.84/202.78 [6558]E(f318(f318(f73(a920),x65581),f885(x65581,x65582,x65583)),x65582)+P1(f318(f318(f226(a920),x65582),x65581))+P1(f318(x65583,f318(f318(f3(a920),x65582),x65581)))
% 202.84/202.78 [6575]~P116(x65751)+E(f318(f318(f74(x65751),f318(f69(x65751),x65752)),x65753),f318(f69(x65751),f318(f318(f74(x65751),x65752),x65753)))+~P1(f318(f318(f225(x65751),f2(x65751)),x65753))
% 202.84/202.78 [6576]~P76(x65761)+E(f318(f318(f282(x65761),f318(f69(x65761),x65762)),x65763),f318(f69(x65761),f318(f318(f282(x65761),x65762),x65763)))+~P1(f318(f318(f226(x65761),f2(x65761)),x65763))
% 202.84/202.78 [6584]~P104(x65841)+~P1(f318(f55(x65841),x65843))+E(f318(f318(f58(x65841,x65841,f92(x65841)),x65842),x65843),f12(x65841,f318(f318(f300(x65841),x65842),x65843)))
% 202.84/202.78 [6585]~P104(x65851)+~P1(f318(f55(x65851),x65853))+E(f318(f318(f58(x65851,x65851,f101(x65851)),x65852),x65853),f15(x65851,f318(f318(f300(x65851),x65852),x65853)))
% 202.84/202.78 [6586]~P4(x65861)+~P1(f318(f55(x65861),x65863))+E(f318(f318(f58(x65861,x65861,f223(x65861)),x65862),x65863),f16(x65861,f318(f318(f300(x65861),x65862),x65863)))
% 202.84/202.78 [6587]~P4(x65871)+~P1(f318(f55(x65871),x65873))+E(f318(f318(f58(x65871,x65871,f224(x65871)),x65872),x65873),f17(x65871,f318(f318(f300(x65871),x65872),x65873)))
% 202.84/202.78 [6633]E(x66331,f104(x66332))+~E(f170(x66332,x66333),f104(f921(x66332)))+~P1(f318(f318(f320(f921(x66332)),x66331),f318(f163(f921(x66332)),x66333)))
% 202.84/202.78 [6677]~P1(f318(f128(x66771),x66773))+P1(f318(f318(f320(x66771),x66772),f318(f163(x66771),x66773)))+P1(f318(f128(x66771),f318(f318(f142(x66771),x66772),x66773)))
% 202.84/202.78 [6688]~P102(x66881)+~P1(f318(f55(x66881),x66883))+E(f318(f57(x66881,f74(x66881)),f318(f318(f300(x66881),x66882),x66883)),f318(f318(f58(x66881,x66881,f74(x66881)),x66882),x66883))
% 202.84/202.78 [6710]~P4(x67101)+~P1(f318(f55(x67101),x67103))+E(f13(x67101,f223(x67101),f318(f318(f300(x67101),x67102),x67103)),f318(f318(f58(x67101,x67101,f223(x67101)),x67102),x67103))
% 202.84/202.78 [6711]~P4(x67111)+~P1(f318(f55(x67111),x67113))+E(f14(x67111,f224(x67111),f318(f318(f300(x67111),x67112),x67113)),f318(f318(f58(x67111,x67111,f224(x67111)),x67112),x67113))
% 202.84/202.78 [6713]P1(f318(x67131,f2(a920)))+~P1(f318(f318(f226(a920),x67132),x67133))+~P1(f318(x67131,f318(f318(f3(a920),x67132),x67133)))
% 202.84/202.78 [6734]~P93(x67341)+P1(f318(f318(f225(x67341),x67342),x67343))+~P1(f318(f318(f225(x67341),f318(f69(x67341),x67342)),x67343))
% 202.84/202.78 [6735]~P116(x67351)+P1(f318(f318(f226(x67351),x67352),x67353))+~P1(f318(f318(f226(x67351),f318(f69(x67351),x67352)),x67353))
% 202.84/202.78 [6736]~P120(x67361)+P1(f318(f318(f278(x67361),x67362),x67363))+~P1(f318(f318(f278(x67361),f318(f72(x67361),x67362)),x67363))
% 202.84/202.78 [6753]E(x67531,f104(x67532))+E(f318(f132(x67532),f318(f318(f129(x67532),x67533),x67531)),f318(f318(f155(x67532),x67531),x67533))+~P1(f318(f318(f226(a920),x67533),f318(f180(f921(x67532)),x67531)))
% 202.84/202.78 [6809]~P1(f318(x68091,x68093))+P1(f318(x68091,f780(x68091,x68092)))+~P1(f318(f318(f320(a920),x68093),f318(f293(a920,f2(a920)),x68092)))
% 202.84/202.78 [6829]P1(f318(x68291,x68292))+~P1(f318(f318(f226(a920),x68292),x68293))+P1(f318(f318(f320(a920),f755(x68291,x68293)),f318(f293(a920,f2(a920)),x68293)))
% 202.84/202.78 [6846]~P135(x68461)+~P1(f318(f318(f225(x68461),f2(x68461)),x68462))+P1(f318(f318(f225(x68461),f2(x68461)),f318(f318(f235(x68461),x68462),x68463)))
% 202.84/202.78 [6847]~P135(x68471)+~P1(f318(f318(f225(x68471),f71(x68471)),x68472))+P1(f318(f318(f225(x68471),f71(x68471)),f318(f318(f235(x68471),x68472),x68473)))
% 202.84/202.78 [6849]~P135(x68491)+~P1(f318(f318(f226(x68491),f2(x68491)),x68492))+P1(f318(f318(f226(x68491),f2(x68491)),f318(f318(f235(x68491),x68492),x68493)))
% 202.84/202.78 [6873]~P1(f318(x68731,x68733))+~P1(f318(f318(f226(a920),x68733),x68732))+P1(f318(f318(f320(a920),f754(x68731,x68732)),f318(f293(a920,f2(a920)),x68732)))
% 202.84/202.78 [6883]P1(f318(f55(x68831),x68832))+~P1(f318(f55(x68831),x68833))+~P1(f318(f318(f225(f927(x68831,a918)),x68832),x68833))
% 202.84/202.78 [6890]~P1(f318(f318(f278(a920),x68901),x68902))+~P1(f318(f318(f278(a920),x68901),x68903))+P1(f318(f318(f278(a920),x68901),f318(f318(f3(a920),x68902),x68903)))
% 202.84/202.78 [6891]P1(f318(x68911,x68912))+~P1(f318(x68911,f744(x68911,x68913)))+~P1(f318(f318(f320(a920),x68912),f318(f293(a920,f2(a920)),x68913)))
% 202.84/202.78 [6904]E(x69041,f2(a920))+P1(f318(x69042,f367(x69041,x69043,x69042)))+~P1(f318(x69042,f318(f318(f30(a920),x69043),x69041)))
% 202.84/202.78 [6911]~P131(x69112)+E(x69111,f2(x69112))+~E(f318(f318(f73(x69112),f318(f318(f74(x69112),x69113),x69113)),f318(f318(f74(x69112),x69111),x69111)),f2(x69112))
% 202.84/202.78 [6912]~P131(x69122)+E(x69121,f2(x69122))+~E(f318(f318(f73(x69122),f318(f318(f74(x69122),x69121),x69121)),f318(f318(f74(x69122),x69123),x69123)),f2(x69122))
% 202.84/202.78 [6957]E(x69571,f2(a920))+~P1(f318(x69572,f368(x69571,x69573,x69572)))+P1(f318(x69572,f318(f318(f30(a920),x69573),x69571)))
% 202.84/202.78 [6962]~P4(x69621)+~P13(x69621,x69623)+P13(x69621,f318(f318(f139(x69621,x69621,f7(x69621)),x69622),x69623))
% 202.84/202.78 [7005]P1(f318(x70051,f367(x70052,x70053,x70051)))+P1(f318(x70051,f2(a920)))+~P1(f318(x70051,f318(f318(f30(a920),x70053),x70052)))
% 202.84/202.78 [7011]~P100(x70111)+E(f318(f94(x70111),x70112),f318(f94(x70111),x70113))+~P30(x70111,f318(f94(x70111),f318(f318(f73(a1),x70112),f318(f72(a1),x70113))))
% 202.84/202.78 [7079]E(x70791,f2(a1))+E(x70792,f2(a1))+~P1(f318(f43(x70792,x70792),f318(f318(f243(a1,a1),x70793),x70791)))
% 202.84/202.78 [7080]E(x70801,f71(a1))+E(x70802,f2(a1))+~P1(f318(f43(x70802,x70802),f318(f318(f243(a1,a1),x70801),x70803)))
% 202.84/202.78 [7095]P1(f318(x70951,x70952))+P1(f318(f318(f226(a920),f744(x70951,x70953)),x70953))+~P1(f318(f318(f320(a920),x70952),f318(f293(a920,f2(a920)),x70953)))
% 202.84/202.78 [7118]~P1(f318(x71181,f884(x71183,x71182,x71181)))+~P1(f318(x71181,f2(a920)))+P1(f318(x71181,f318(f318(f3(a920),x71182),x71183)))
% 202.84/202.78 [7119]~P1(f318(x71191,f885(x71193,x71192,x71191)))+~P1(f318(x71191,f2(a920)))+P1(f318(x71191,f318(f318(f3(a920),x71192),x71193)))
% 202.84/202.78 [7120]~P1(f318(x71201,f368(x71203,x71202,x71201)))+~P1(f318(x71201,f2(a920)))+P1(f318(x71201,f318(f318(f30(a920),x71202),x71203)))
% 202.84/202.78 [7139]~P1(f318(x71391,x71393))+P1(f318(f318(f226(a920),f780(x71391,x71392)),x71392))+~P1(f318(f318(f320(a920),x71393),f318(f293(a920,f2(a920)),x71392)))
% 202.84/202.78 [7140]E(f318(f318(f3(a920),f318(f318(f3(a920),x71401),x71402)),f318(f318(f3(a920),x71403),x71402)),f318(f318(f3(a920),x71401),x71403))+~P1(f318(f318(f225(a920),x71402),x71401))+~P1(f318(f318(f225(a920),x71402),x71403))
% 202.84/202.78 [7176]~P67(x71761)+~P1(f318(f318(f225(x71761),f318(f72(x71761),x71763)),x71762))+P1(f318(f318(f225(x71761),f318(f72(x71761),x71762)),x71763))
% 202.84/202.78 [7178]~P93(x71781)+~P1(f318(f318(f225(x71781),f318(f69(x71781),x71782)),x71783))+P1(f318(f318(f225(x71781),f318(f72(x71781),x71782)),x71783))
% 202.84/202.78 [7180]~P67(x71801)+~P1(f318(f318(f226(x71801),f318(f72(x71801),x71803)),x71802))+P1(f318(f318(f226(x71801),f318(f72(x71801),x71802)),x71803))
% 202.84/202.78 [7181]~P116(x71811)+~P1(f318(f318(f226(x71811),f318(f69(x71811),x71812)),x71813))+P1(f318(f318(f226(x71811),f318(f72(x71811),x71812)),x71813))
% 202.84/202.78 [7213]~P1(f318(x72133,f884(x72132,x72131,x72133)))+P1(f318(f318(f226(a920),x72131),x72132))+P1(f318(x72133,f318(f318(f3(a920),x72131),x72132)))
% 202.84/202.78 [7214]~P1(f318(x72143,f885(x72142,x72141,x72143)))+P1(f318(f318(f226(a920),x72141),x72142))+P1(f318(x72143,f318(f318(f3(a920),x72141),x72142)))
% 202.84/202.78 [7267]~E(f623(x72673,x72672,x72671),f603(x72673,x72672,x72671))+E(f318(f318(f92(f927(x72671,a918)),x72672),f31(f927(x72671,a918),x72673)),f179(f927(x72671,a918)))+P1(f318(f318(f320(f927(x72671,a918)),x72672),x72673))
% 202.84/202.78 [7275]~P1(f318(f55(x72751),x72753))+P1(f318(f55(x72751),f32(f927(x72751,a918),x72752)))+~P1(f318(f318(f320(f927(x72751,a918)),x72753),x72752))
% 202.84/202.78 [7336]~P4(x73361)+E(f318(f318(f101(f927(x73361,a918)),f318(f293(x73361,x73362),x73363)),f318(f318(f300(x73361),x73363),f179(f927(x73361,a918)))),f294(x73361,x73362,x73363))+~P1(f318(f318(f225(x73361),x73362),x73363))
% 202.84/202.78 [7339]E(x73391,f2(a920))+P1(f318(f318(f226(a920),f383(x73391,x73393,x73392)),x73391))+P1(f318(x73392,f318(f318(f30(a920),x73393),x73391)))
% 202.84/202.78 [7368]P1(f318(f318(f226(a920),f318(f180(f921(x73681)),x73682)),f788(x73683,x73681)))+~P1(f318(f55(f921(x73681)),x73683))+~P1(f318(f318(f320(f921(x73681)),x73682),x73683))
% 202.84/202.78 [7374]E(x73741,x73742)+~P1(f318(f318(f225(f927(x73743,a918)),x73741),x73742))+P1(f318(f318(f226(f927(x73743,a918)),x73741),x73742))
% 202.84/202.78 [7388]E(x73881,x73882)+~E(f318(f180(f921(x73883)),x73881),f318(f180(f921(x73883)),x73882))+P1(f318(f318(f226(a920),f657(x73883,x73881,x73882)),f318(f180(f921(x73883)),x73882)))
% 202.84/202.78 [7438]P8(x74381,x74382,x74383)+~E(f318(f255(x74381,x74381),x74383),x74382)+~E(f318(f318(f280(x74381,x74381,x74381),f318(f277(x74381,x74381),x74383)),x74383),x74383)
% 202.84/202.78 [7516]~P1(f318(x75161,f2(a920)))+P1(f318(f318(f226(a920),f383(x75163,x75162,x75161)),x75163))+P1(f318(x75161,f318(f318(f30(a920),x75162),x75163)))
% 202.84/202.78 [7525]~P4(x75251)+E(f318(f318(f101(f927(x75251,a918)),f297(x75251,x75252,x75253)),f318(f318(f300(x75251),x75253),f179(f927(x75251,a918)))),f296(x75251,x75252,x75253))+~P1(f318(f318(f226(x75251),x75252),x75253))
% 202.84/202.78 [7616]~P1(f318(f55(x76161),x76163))+P1(f318(f318(f225(a920),f318(f29(x76161),x76162)),f318(f29(x76161),x76163)))+~P1(f318(f318(f225(f927(x76161,a918)),x76162),x76163))
% 202.84/202.78 [7617]~P1(f318(f55(x76171),x76173))+P1(f318(f318(f226(a920),f318(f29(x76171),x76172)),f318(f29(x76171),x76173)))+~P1(f318(f318(f226(f927(x76171,a918)),x76172),x76173))
% 202.84/202.78 [7748]E(x77481,x77482)+~P1(f318(f318(f225(f927(x77483,a918)),x77482),x77481))+~P1(f318(f318(f225(f927(x77483,a918)),x77481),x77482))
% 202.84/202.78 [7751]~P4(x77511)+P13(x77511,x77512)+~P13(x77511,f318(f318(f139(x77511,x77511,f7(x77511)),x77513),x77512))
% 202.84/202.78 [7822]~P1(f318(f318(f226(a920),x78223),x78222))+~P1(f318(f318(f226(a920),x78223),x78221))+P1(f318(f318(f226(a920),f318(f318(f3(a920),x78221),x78222)),f318(f318(f3(a920),x78221),x78223)))
% 202.84/202.78 [7823]~P1(f318(f318(f225(a920),x78232),x78231))+~P1(f318(f318(f226(a920),x78231),x78233))+P1(f318(f318(f226(a920),f318(f318(f3(a920),x78231),x78232)),f318(f318(f3(a920),x78233),x78232)))
% 202.84/202.78 [7838]~P1(f318(f318(f226(a1),x78382),f2(a1)))+~P1(f318(f318(f225(a1),x78383),x78381))+P1(f318(f318(f225(a1),f318(f318(f30(a1),x78381),x78382)),f318(f318(f30(a1),x78383),x78382)))
% 202.84/202.78 [7855]~P1(f318(f318(f226(a920),f2(a920)),x78553))+~P1(f318(f318(f225(a920),x78553),x78552))+P1(f318(f318(f225(a920),f318(f318(f30(a920),x78551),x78552)),f318(f318(f30(a920),x78551),x78553)))
% 202.84/202.78 [7856]~P1(f318(f318(f226(a1),f2(a1)),x78562))+~P1(f318(f318(f225(a1),x78561),x78563))+P1(f318(f318(f225(a1),f318(f318(f30(a1),x78561),x78562)),f318(f318(f30(a1),x78563),x78562)))
% 202.84/202.78 [7860]~P1(f318(f318(f226(a920),f2(a920)),x78602))+~P1(f318(f318(f226(a920),x78601),x78603))+P1(f318(f318(f226(a920),f318(f318(f74(a920),x78601),x78602)),f318(f318(f74(a920),x78603),x78602)))
% 202.84/202.78 [7861]~P1(f318(f318(f226(a920),f2(a920)),x78611))+~P1(f318(f318(f226(a920),x78612),x78613))+P1(f318(f318(f226(a920),f318(f318(f74(a920),x78611),x78612)),f318(f318(f74(a920),x78611),x78613)))
% 202.84/202.78 [7862]~P1(f318(f318(f226(a1),f2(a1)),x78621))+~P1(f318(f318(f226(a1),x78622),x78623))+P1(f318(f318(f226(a1),f318(f318(f74(a1),x78621),x78622)),f318(f318(f74(a1),x78621),x78623)))
% 202.84/202.78 [7911]E(x79111,f2(a920))+E(f318(f318(f73(a920),f318(f318(f74(a920),x79111),f368(x79111,x79112,x79113))),f383(x79111,x79112,x79113)),x79112)+P1(f318(x79113,f318(f318(f30(a920),x79112),x79111)))
% 202.84/202.78 [7970]E(f318(f318(f73(a920),f318(f318(f74(a920),x79701),f368(x79701,x79702,x79703))),f383(x79701,x79702,x79703)),x79702)+~P1(f318(x79703,f2(a920)))+P1(f318(x79703,f318(f318(f30(a920),x79702),x79701)))
% 202.84/202.78 [7987]~P1(f318(f55(x79871),x79873))+P1(f318(f318(f320(x79871),f405(x79872,x79873,x79871)),x79873))+P1(f318(f318(f226(a920),f2(a920)),f318(f318(f11(x79871,a920),x79872),x79873)))
% 202.84/202.78 [7988]~P1(f318(f55(x79881),x79883))+P1(f318(f318(f320(x79881),f412(x79882,x79883,x79881)),x79883))+P1(f318(f318(f226(a920),f2(a920)),f318(f318(f11(x79881,a920),x79882),x79883)))
% 202.84/202.78 [8090]E(x80901,f2(a920))+P1(f318(f318(f278(a920),x80902),x80903))+~P1(f318(f318(f278(a920),f318(f318(f74(a920),x80901),x80902)),f318(f318(f74(a920),x80901),x80903)))
% 202.84/202.78 [8282]E(x82821,f179(f927(x82822,a918)))+E(x82821,f318(f318(f300(x82822),x82823),f179(f927(x82822,a918))))+~P1(f318(f318(f225(f927(x82822,a918)),x82821),f318(f318(f300(x82822),x82823),f179(f927(x82822,a918)))))
% 202.84/202.78 [8320]~P1(f318(f318(f226(a920),f2(a920)),x83203))+P1(f318(f318(f225(a920),x83201),x83202))+~P1(f318(f318(f225(a920),f318(f318(f74(a920),x83203),x83201)),f318(f318(f74(a920),x83203),x83202)))
% 202.84/202.78 [8321]~P1(f318(f318(f226(a920),f71(a920)),x83213))+P1(f318(f318(f225(a920),x83211),x83212))+~P1(f318(f318(f278(a920),f318(f318(f235(a920),x83213),x83211)),f318(f318(f235(a920),x83213),x83212)))
% 202.84/202.78 [8322]~P1(f318(f318(f226(a920),f2(a920)),x83223))+P1(f318(f318(f225(a920),x83221),x83222))+~P1(f318(f318(f225(a920),f318(f318(f74(a920),x83221),x83223)),f318(f318(f74(a920),x83222),x83223)))
% 202.84/202.78 [8324]~P1(f318(f318(f226(a920),f2(a920)),x83243))+P1(f318(f318(f226(a920),x83241),x83242))+~P1(f318(f318(f226(a920),f318(f318(f235(a920),x83243),x83241)),f318(f318(f235(a920),x83243),x83242)))
% 202.84/202.78 [8326]~P1(f318(f318(f226(a920),f2(a920)),x83263))+P1(f318(f318(f278(a920),x83261),x83262))+~P1(f318(f318(f278(a920),f318(f318(f74(a920),x83263),x83261)),f318(f318(f74(a920),x83263),x83262)))
% 202.84/202.78 [8367]~E(f318(f318(f92(f927(x83671,a918)),f603(x83673,x83672,x83671)),f623(x83673,x83672,x83671)),f179(f927(x83671,a918)))+E(f318(f318(f92(f927(x83671,a918)),x83672),f31(f927(x83671,a918),x83673)),f179(f927(x83671,a918)))+P1(f318(f318(f320(f927(x83671,a918)),x83672),x83673))
% 202.84/202.78 [8381]E(x83811,f104(x83812))+~E(f318(f133(f921(x83812),f921(x83812),f125(x83812),f104(x83812)),x83813),f104(x83812))+~P1(f318(f318(f320(f921(x83812)),x83811),f318(f163(f921(x83812)),x83813)))
% 202.84/202.78 [8436]E(x84361,f179(f927(f927(x84362,a918),a918)))+P1(f318(f318(f320(f927(x84362,a918)),f504(x84363,x84361,x84362)),x84361))+P1(f318(f318(f225(f927(x84362,a918)),f32(f927(x84362,a918),x84361)),x84363))
% 202.84/202.78 [8442]~P83(x84421)+~P84(x84421)+E(f318(f318(f11(a1,x84421),f318(f318(f10(a920,x84421,a1),x84422),a95)),f318(f301(a920,a1,f91(a1)),x84423)),f318(f318(f11(a920,x84421),x84422),x84423))
% 202.84/202.78 [8443]~P83(x84431)+~P84(x84431)+E(f318(f318(f8(a1,x84431),f318(f318(f10(a920,x84431,a1),x84432),a95)),f318(f301(a920,a1,f91(a1)),x84433)),f318(f318(f8(a920,x84431),x84432),x84433))
% 202.84/202.78 [8485]~P1(f318(f55(x84851),x84853))+~P1(f318(f318(f226(a920),f2(a920)),f318(x84852,f405(x84852,x84853,x84851))))+P1(f318(f318(f226(a920),f2(a920)),f318(f318(f11(x84851,a920),x84852),x84853)))
% 202.84/202.78 [8486]~P1(f318(f55(x84861),x84863))+~P1(f318(f318(f226(a920),f2(a920)),f318(x84862,f412(x84862,x84863,x84861))))+P1(f318(f318(f226(a920),f2(a920)),f318(f318(f11(x84861,a920),x84862),x84863)))
% 202.84/202.78 [8523]~P75(x85232)+E(x85231,f71(x85232))+E(f318(f318(f282(x85232),f318(f318(f3(x85232),f318(f318(f235(x85232),x85231),x85233)),f71(x85232))),f318(f318(f3(x85232),x85231),f71(x85232))),f318(f318(f8(a920,x85232),f318(f235(x85232),x85231)),f318(f293(a920,f2(a920)),x85233)))
% 202.84/202.78 [8580]E(x85801,f2(a920))+~P1(f318(x85803,f318(f318(f30(a920),x85802),x85801)))+P1(f318(f318(f226(a920),x85802),f318(f318(f74(a920),x85801),f318(a103,f367(x85801,x85802,x85803)))))
% 202.84/202.78 [8599]P1(f318(x85991,f2(a920)))+~P1(f318(x85991,f318(f318(f30(a920),x85992),x85993)))+P1(f318(f318(f226(a920),x85992),f318(f318(f74(a920),x85993),f318(a103,f367(x85993,x85992,x85991)))))
% 202.84/202.78 [8637]E(x86371,f2(a920))+~P1(f318(x86373,f318(f318(f30(a920),x86372),x86371)))+P1(f318(f318(f225(a920),f318(f318(f74(a920),x86371),f367(x86371,x86372,x86373))),x86372))
% 202.84/202.78 [8670]P1(f318(x86701,f2(a920)))+~P1(f318(x86701,f318(f318(f30(a920),x86703),x86702)))+P1(f318(f318(f225(a920),f318(f318(f74(a920),x86702),f367(x86702,x86703,x86701))),x86703))
% 202.84/202.78 [8678]~P4(x86781)+E(f318(f318(f139(x86781,x86781,f7(x86781)),x86782),x86783),f140(x86781,x86781,f7(x86781),x86782,x86783))+P1(f318(f318(f320(x86781),x86782),f318(f163(x86781),x86783)))
% 202.84/202.78 [8715]~E(f318(x87153,f591(x87152,x87153,x87151)),f318(x87153,f593(x87152,x87153,x87151)))+~P63(x87151,f318(x87153,f592(x87152,x87153,x87151)))+P63(x87151,f318(f318(f33(x87152,f927(x87151,f927(x87151,a918))),f233(f927(x87152,a918))),x87153))
% 202.84/202.78 [8724]E(x87241,f179(f927(f927(x87242,a918),a918)))+~P1(f318(f318(f225(f927(x87242,a918)),f504(x87243,x87241,x87242)),x87243))+P1(f318(f318(f225(f927(x87242,a918)),f32(f927(x87242,a918),x87241)),x87243))
% 202.84/202.78 [8785]~P77(x87851)+~P1(f318(f318(f226(x87851),x87852),x87853))+P1(f318(f318(f226(x87851),x87852),f318(f318(f282(x87851),f318(f318(f73(x87851),x87852),x87853)),f318(f318(f73(x87851),f71(x87851)),f71(x87851)))))
% 202.84/202.78 [8843]~P1(f318(f318(x88431,f493(x88431,x88433,x88432)),f497(x88431,x88433,x88432)))+P1(f318(f318(x88431,x88432),x88433))+~P1(f318(f306(f926(a1,a1),a46),f318(f318(f243(a1,a1),x88432),x88433)))
% 202.84/202.78 [8844]~P1(f318(f318(x88441,f498(x88441,x88443,x88442)),f499(x88441,x88443,x88442)))+P1(f318(f318(x88441,x88442),x88443))+~P1(f318(f306(f926(a1,a1),a52),f318(f318(f243(a1,a1),x88442),x88443)))
% 202.84/202.78 [8845]~P1(f318(f318(x88451,f505(x88451,x88453,x88452)),f507(x88451,x88453,x88452)))+P1(f318(f318(x88451,x88452),x88453))+~P1(f318(f306(f926(a1,a1),a212),f318(f318(f243(a1,a1),x88452),x88453)))
% 202.84/202.78 [8846]~P1(f318(f318(x88461,f508(x88461,x88463,x88462)),f510(x88461,x88463,x88462)))+P1(f318(f318(x88461,x88462),x88463))+~P1(f318(f306(f926(a920,a920),a210),f318(f318(f243(a920,a920),x88462),x88463)))
% 202.84/202.78 [8847]~P1(f318(f318(x88471,f679(x88471,x88473,x88472)),f680(x88471,x88473,x88472)))+P1(f318(f318(x88471,x88472),x88473))+~P1(f318(f306(f926(a1,a1),a173),f318(f318(f243(a1,a1),x88472),x88473)))
% 202.84/202.78 [8848]~P1(f318(f318(x88481,f776(x88481,x88483,x88482)),f777(x88481,x88483,x88482)))+P1(f318(f318(x88481,x88482),x88483))+~P1(f318(f306(f926(a1,a1),a124),f318(f318(f243(a1,a1),x88482),x88483)))
% 202.84/202.78 [9125]P1(f318(f318(x91251,x91252),x91253))+P1(f318(f306(f926(a920,a920),a210),f318(f318(f243(a920,a920),f508(x91251,x91253,x91252)),f510(x91251,x91253,x91252))))+~P1(f318(f306(f926(a920,a920),a210),f318(f318(f243(a920,a920),x91252),x91253)))
% 202.84/202.78 [9126]P1(f318(f318(x91261,x91262),x91263))+P1(f318(f306(f926(a1,a1),a46),f318(f318(f243(a1,a1),f493(x91261,x91263,x91262)),f497(x91261,x91263,x91262))))+~P1(f318(f306(f926(a1,a1),a46),f318(f318(f243(a1,a1),x91262),x91263)))
% 202.84/202.78 [9127]P1(f318(f318(x91271,x91272),x91273))+P1(f318(f306(f926(a1,a1),a52),f318(f318(f243(a1,a1),f498(x91271,x91273,x91272)),f499(x91271,x91273,x91272))))+~P1(f318(f306(f926(a1,a1),a52),f318(f318(f243(a1,a1),x91272),x91273)))
% 202.84/202.78 [9128]P1(f318(f318(x91281,x91282),x91283))+P1(f318(f306(f926(a1,a1),a212),f318(f318(f243(a1,a1),f505(x91281,x91283,x91282)),f507(x91281,x91283,x91282))))+~P1(f318(f306(f926(a1,a1),a212),f318(f318(f243(a1,a1),x91282),x91283)))
% 202.84/202.78 [9129]P1(f318(f318(x91291,x91292),x91293))+P1(f318(f306(f926(a1,a1),a173),f318(f318(f243(a1,a1),f679(x91291,x91293,x91292)),f680(x91291,x91293,x91292))))+~P1(f318(f306(f926(a1,a1),a173),f318(f318(f243(a1,a1),x91292),x91293)))
% 202.84/202.78 [9130]P1(f318(f318(x91301,x91302),x91303))+P1(f318(f306(f926(a1,a1),a124),f318(f318(f243(a1,a1),f776(x91301,x91303,x91302)),f777(x91301,x91303,x91302))))+~P1(f318(f306(f926(a1,a1),a124),f318(f318(f243(a1,a1),x91302),x91303)))
% 202.84/202.78 [9468]~P1(f318(f55(x94681),x94683))+P1(f318(f318(f320(f926(f927(x94681,a918),f927(x94681,a918))),f318(f318(f243(f927(x94681,a918),f927(x94681,a918)),x94682),x94683)),f305(x94681)))+~P1(f318(f318(f226(f927(x94681,a918)),x94682),x94683))
% 202.84/202.78 [9543]~P63(x95431,f318(x95433,f592(x95432,x95433,x95431)))+P63(x95431,f318(f318(f33(x95432,f927(x95431,f927(x95431,a918))),f233(f927(x95432,a918))),x95433))+~E(f318(f318(f92(f927(x95431,a918)),f240(x95431,x95431,f318(x95433,f591(x95432,x95433,x95431)))),f241(x95431,x95431,f318(x95433,f593(x95432,x95433,x95431)))),f179(f927(x95431,a918)))
% 202.84/202.78 [9746]P56(x97461,x97462,x97463)+P1(f318(f318(f320(f926(x97461,x97461)),f538(x97463,x97462,x97461)),x97463))+~P1(f318(f318(f320(f926(x97461,x97461)),f318(f318(f243(x97461,x97461),f537(x97463,x97462,x97461)),f537(x97463,x97462,x97461))),x97463))
% 202.84/202.78 [10343]P56(x103431,x103432,x103433)+~P1(f318(f318(f248(x103431,x103431,a918),f318(f318(f9(x103431,f927(x103431,a918),f927(x103431,a918)),f318(f318(f10(f927(a918,a918),f927(f927(x103431,a918),f927(x103431,a918)),x103431),f10(a918,a918,x103431)),f318(f318(f10(a918,f927(a918,a918),x103431),a316),f318(f318(f9(x103431,f927(x103431,a918),a918),f320(x103431)),x103432)))),f318(f318(f9(x103431,f927(x103431,a918),a918),f320(x103431)),x103432))),f538(x103433,x103432,x103431)))+~P1(f318(f318(f320(f926(x103431,x103431)),f318(f318(f243(x103431,x103431),f537(x103433,x103432,x103431)),f537(x103433,x103432,x103431))),x103433))
% 202.84/202.78 [5813]~P70(x58132)+E(x58131,f2(x58132))+E(f318(f318(f30(x58132),f318(f318(f74(x58132),x58133),x58131)),x58131),x58133)
% 202.84/202.78 [5814]~P70(x58142)+E(x58141,f2(x58142))+E(f318(f318(f30(x58142),f318(f318(f74(x58142),x58141),x58143)),x58141),x58143)
% 202.84/202.78 [6468]~P70(x64681)+E(f318(f318(f74(x64681),f318(f318(f30(x64681),x64682),x64683)),x64683),x64682)+~P1(f318(f318(f278(x64681),x64683),x64682))
% 202.84/202.78 [6632]~P83(x66321)+~E(f318(x66322,f2(a920)),f2(x66321))+E(f318(f318(f8(a920,x66321),x66322),f318(f293(a920,f318(a103,f2(a920))),x66323)),f318(f318(f8(a920,x66321),x66322),f318(f293(a920,f2(a920)),x66323)))
% 202.84/202.78 [6769]~P70(x67692)+E(x67691,f2(x67692))+E(f318(f318(f30(x67692),f318(f318(f73(x67692),x67693),x67691)),x67691),f318(f318(f73(x67692),f318(f318(f30(x67692),x67693),x67691)),f71(x67692)))
% 202.84/202.78 [6770]~P70(x67702)+E(x67701,f2(x67702))+E(f318(f318(f30(x67702),f318(f318(f73(x67702),x67701),x67703)),x67701),f318(f318(f73(x67702),f318(f318(f30(x67702),x67703),x67701)),f71(x67702)))
% 202.84/202.78 [6993]~P1(f318(x69933,f2(a1)))+P1(f318(f318(f225(a920),x69931),x69932))+P1(f318(x69933,f318(f91(a1),f318(f318(f3(a920),x69932),x69931))))
% 202.84/202.78 [7101]P1(f318(f318(f226(a920),x71012),x71011))+P1(f318(f318(f225(a920),x71011),x71012))+P1(f318(x71013,f318(f91(a1),f318(f318(f3(a920),x71012),x71011))))
% 202.84/202.78 [7174]E(f318(f318(f73(a920),f318(f94(a920),x71741)),f318(f318(f73(a920),f318(f94(a920),x71742)),x71743)),f318(f318(f73(a920),f318(f94(a920),x71741)),x71743))+P1(f318(a184,f318(f94(a1),x71741)))+~P1(f318(a184,f318(f94(a1),x71742)))
% 202.84/202.78 [7253]~E(x72532,f318(f318(f30(a920),x72533),x72531))+~P1(f318(f318(f226(a920),f2(a920)),x72531))+P1(f318(f318(f225(a920),f318(f318(f74(a920),x72531),x72532)),x72533))
% 202.84/202.78 [7371]~P1(f318(f55(x73711),x73713))+~P1(f318(f55(x73711),x73712))+P1(f318(f55(x73711),f318(f318(f101(f927(x73711,a918)),x73712),x73713)))
% 202.84/202.78 [7423]~P40(x74231,x74233)+~P40(x74231,x74232)+P40(x74231,f318(f318(f92(f927(f926(x74231,x74231),a918)),x74232),x74233))
% 202.84/202.78 [7424]~P55(x74241,x74243)+~P55(x74241,x74242)+P55(x74241,f318(f318(f92(f927(f926(x74241,x74241),a918)),x74242),x74243))
% 202.84/202.78 [7425]~P55(x74251,x74253)+~P55(x74251,x74252)+P55(x74251,f318(f318(f101(f927(f926(x74251,x74251),a918)),x74252),x74253))
% 202.84/202.78 [7665]~P4(x76651)+~P1(f318(f55(x76651),x76652))+E(f130(x76651,f318(f318(f3(f927(x76651,a918)),x76652),f318(f318(f300(x76651),x76653),f179(f927(x76651,a918))))),f161(x76651,x76653,f130(x76651,x76652)))
% 202.84/202.78 [7727]P1(f318(x77271,f2(a1)))+~P1(f318(f318(f226(a920),x77272),x77273))+~P1(f318(x77271,f318(f91(a1),f318(f318(f3(a920),x77272),x77273))))
% 202.84/202.78 [7745]~P1(f318(f55(x77451),x77452))+E(f318(f29(x77451),f318(f318(f3(f927(x77451,a918)),x77452),f318(f318(f300(x77451),x77453),f179(f927(x77451,a918))))),f318(f29(x77451),x77452))+P1(f318(f318(f320(x77451),x77453),x77452))
% 202.84/202.78 [7879]~P135(x78791)+~P1(f318(f318(f226(x78791),f71(x78791)),x78792))+P1(f318(f318(f226(x78791),f71(x78791)),f318(f318(f74(x78791),x78792),f318(f318(f235(x78791),x78792),x78793))))
% 202.84/202.78 [7921]~P1(f318(f55(x79211),x79213))+E(f318(f318(f3(a920),f318(f29(x79211),x79212)),f318(f29(x79211),x79213)),f318(f29(x79211),f318(f318(f3(f927(x79211,a918)),x79212),x79213)))+~P1(f318(f318(f225(f927(x79211,a918)),x79213),x79212))
% 202.84/202.78 [7978]~P1(f318(f318(f225(a920),x79782),x79783))+~P1(f318(f318(f225(a920),x79781),f318(f318(f3(a920),x79783),x79782)))+P1(f318(f318(f225(a920),f318(f318(f73(a920),x79781),x79782)),x79783))
% 202.84/202.78 [8033]P1(f318(f55(x80331),x80332))+~P1(f318(f55(x80331),x80333))+~P1(f318(f55(x80331),f318(f318(f3(f927(x80331,a918)),x80332),x80333)))
% 202.84/202.78 [8039]~P1(f318(f55(x80391),x80392))+E(f318(f29(x80391),f318(f318(f3(f927(x80391,a918)),x80392),f318(f318(f300(x80391),x80393),f179(f927(x80391,a918))))),f318(f318(f3(a920),f318(f29(x80391),x80392)),f71(a920)))+~P1(f318(f318(f320(x80391),x80393),x80392))
% 202.84/202.78 [8115]P63(x81151,x81152)+~P63(x81151,x81153)+~P1(f318(f318(f225(f927(x81151,f927(x81151,a918))),x81152),x81153))
% 202.84/202.78 [8156]~P1(f318(f318(f225(a920),x81563),x81562))+P1(f318(f318(f225(a920),x81561),f318(f318(f3(a920),x81562),x81563)))+~P1(f318(f318(f225(a920),f318(f318(f73(a920),x81561),x81563)),x81562))
% 202.84/202.78 [8174]P39(x81741,x81742)+~P39(x81741,x81743)+~P1(f318(f318(f225(f927(f926(x81741,x81741),a918)),x81742),x81743))
% 202.84/202.78 [8175]P61(x81751,x81752)+~P61(x81751,x81753)+~P1(f318(f318(f225(f927(f926(x81751,x81751),a918)),x81752),x81753))
% 202.84/202.78 [8176]P41(x81761,x81762)+~P41(x81761,x81763)+~P1(f318(f318(f225(f927(f926(x81761,x81761),a918)),x81762),x81763))
% 202.84/202.78 [8414]~P135(x84141)+~P1(f318(f318(f226(x84141),f71(x84141)),x84142))+P1(f318(f318(f226(x84141),f318(f318(f235(x84141),x84142),x84143)),f318(f318(f74(x84141),x84142),f318(f318(f235(x84141),x84142),x84143))))
% 202.84/202.78 [8504]~P1(f318(x85041,f2(a1)))+~P1(f318(x85041,f318(f318(f3(a1),f318(f91(a1),x85042)),f318(f91(a1),x85043))))+P1(f318(x85041,f318(f91(a1),f318(f318(f3(a920),x85042),x85043))))
% 202.84/202.78 [8519]~P1(f318(f318(f225(a920),x85193),x85192))+P1(f318(x85191,f318(f318(f3(a1),f318(f91(a1),x85192)),f318(f91(a1),x85193))))+~P1(f318(x85191,f318(f91(a1),f318(f318(f3(a920),x85192),x85193))))
% 202.84/202.78 [8539]P1(f318(f318(f226(a920),x85391),x85392))+~P1(f318(x85393,f318(f318(f3(a1),f318(f91(a1),x85391)),f318(f91(a1),x85392))))+P1(f318(x85393,f318(f91(a1),f318(f318(f3(a920),x85391),x85392))))
% 202.84/202.78 [8593]~P131(x85932)+E(x85931,f2(x85932))+P1(f318(f318(f226(x85932),f2(x85932)),f318(f318(f73(x85932),f318(f318(f74(x85932),x85933),x85933)),f318(f318(f74(x85932),x85931),x85931))))
% 202.84/202.78 [8594]~P131(x85942)+E(x85941,f2(x85942))+P1(f318(f318(f226(x85942),f2(x85942)),f318(f318(f73(x85942),f318(f318(f74(x85942),x85941),x85941)),f318(f318(f74(x85942),x85943),x85943))))
% 202.84/202.78 [8698]~P1(f318(f318(f226(a920),f2(a920)),x86981))+~P1(f318(f318(f226(a1),x86982),x86983))+P1(f318(f318(f226(a1),f318(f318(f74(a1),f318(f91(a1),x86981)),x86982)),f318(f318(f74(a1),f318(f91(a1),x86981)),x86983)))
% 202.84/202.78 [8753]E(f318(f318(f92(f927(x87531,a918)),x87532),f31(f927(x87531,a918),x87533)),f179(f927(x87531,a918)))+P1(f318(f318(f320(f927(x87531,a918)),x87532),x87533))+P1(f318(f318(f320(f927(x87531,a918)),f603(x87533,x87532,x87531)),f318(f318(f300(f927(x87531,a918)),x87532),x87533)))
% 202.84/202.78 [8754]E(f318(f318(f92(f927(x87541,a918)),x87542),f31(f927(x87541,a918),x87543)),f179(f927(x87541,a918)))+P1(f318(f318(f320(f927(x87541,a918)),x87542),x87543))+P1(f318(f318(f320(f927(x87541,a918)),f623(x87543,x87542,x87541)),f318(f318(f300(f927(x87541,a918)),x87542),x87543)))
% 202.84/202.78 [8784]E(x87841,x87842)+~E(f318(f180(f921(x87843)),x87841),f318(f180(f921(x87843)),x87842))+P1(f318(f318(f320(f926(x87843,x87843)),f668(x87843,x87841,x87842)),f318(f163(f926(x87843,x87843)),f318(f318(f172(x87843,x87843),x87842),x87841))))
% 202.84/202.78 [9035]E(f298(x90351,x90352),f298(x90351,x90353))+~P1(f318(f318(f225(f927(f926(x90351,x90351),a918)),x90353),f298(x90351,x90352)))+~P1(f318(f318(f225(f927(f926(x90351,x90351),a918)),x90352),x90353))
% 202.84/202.78 [9105]~P56(x91051,f233(f927(x91051,a918)),x91053)+P1(f318(f318(f225(f927(f926(f921(x91051),f921(x91051)),a918)),f148(x91051,x91052)),f149(x91051,x91053)))+~P1(f318(f318(f225(f927(f926(x91051,x91051),a918)),x91052),x91053))
% 202.84/202.78 [9302]P39(x93021,x93022)+~P1(f318(f318(f320(x93021),x93023),f602(x93022,x93021)))+P1(f318(f318(f320(f926(x93021,x93021)),f318(f318(f243(x93021,x93021),f617(x93022,x93021,x93023)),x93023)),x93022))
% 202.84/202.78 [9337]~P1(f318(f55(x93371),x93372))+P1(f318(f55(f927(x93371,a918)),f318(f318(f54(x93371),x93372),x93373)))+~P1(f318(f318(f225(f927(f926(x93371,x93371),a918)),x93373),f318(f318(f245(x93371,x93371),x93372),f318(f18(f927(x93371,a918),x93371),x93372))))
% 202.84/202.78 [9375]P56(x93751,x93752,x93753)+P1(f318(f318(f320(x93751),f551(x93753,x93752,x93751)),x93752))+~P1(f318(f318(f225(f927(f926(x93751,x93751),a918)),x93753),f318(f318(f245(x93751,x93751),x93752),f318(f18(f927(x93751,a918),x93751),x93752))))
% 202.84/202.78 [9376]P56(x93761,x93762,x93763)+P1(f318(f318(f320(x93761),f556(x93762,x93763,x93761)),x93762))+~P1(f318(f318(f225(f927(f926(x93761,x93761),a918)),x93763),f318(f318(f245(x93761,x93761),x93762),f318(f18(f927(x93761,a918),x93761),x93762))))
% 202.84/202.78 [9411]~P77(x94111)+~P1(f318(f318(f226(x94111),x94112),x94113))+P1(f318(f318(f226(x94111),f318(f318(f282(x94111),f318(f318(f73(x94111),x94112),x94113)),f318(f318(f73(x94111),f71(x94111)),f71(x94111)))),x94113))
% 202.84/202.78 [9440]~P76(x94401)+P1(f318(f318(f225(x94401),x94402),x94403))+~P1(f318(f318(f225(x94401),f318(f318(f74(x94401),f404(x94403,x94402,x94401)),x94402)),x94403))
% 202.84/202.78 [9578]E(f318(f180(f921(f921(x95781))),f318(f127(f921(x95781),f318(f318(f10(a920,a918,f921(x95781)),f318(f226(a920),x95782)),f180(f921(x95781)))),f170(x95781,x95783))),f318(f180(f921(x95781)),f318(f318(f155(f921(x95781)),x95783),x95782)))+~P13(a920,f318(f159(a920),f318(f318(f145(f921(x95781),a920),f180(f921(x95781))),x95783)))+~P1(f318(f318(f226(a920),x95782),f318(f180(f921(f921(x95781))),x95783)))
% 202.84/202.78 [9694]~P39(x96941,x96942)+P27(x96941,f318(f318(f243(f927(f926(x96941,x96941),a918),f927(f926(x96941,x96941),a918)),x96942),x96943))+~P1(f318(f318(f225(f927(f926(x96941,x96941),a918)),f318(f318(f280(x96941,x96941,x96941),x96942),x96943)),x96942))
% 202.84/202.78 [9699]E(f318(f318(f145(f921(x96991),x96991),f318(f318(f9(f921(x96991),a920,x96991),f155(x96991)),x96992)),f318(f127(f921(x96991),f318(f318(f10(a920,a918,f921(x96991)),f318(f226(a920),x96992)),f180(f921(x96991)))),f170(x96991,x96993))),f318(f318(f155(f921(x96991)),x96993),x96992))+~P13(a920,f318(f159(a920),f318(f318(f145(f921(x96991),a920),f180(f921(x96991))),x96993)))+~P1(f318(f318(f226(a920),x96992),f318(f180(f921(f921(x96991))),x96993)))
% 202.84/202.78 [9835]P56(x98351,x98352,x98353)+~P1(f318(f318(f320(f926(x98351,x98351)),f318(f318(f243(x98351,x98351),f551(x98353,x98352,x98351)),f551(x98353,x98352,x98351))),x98353))+~P1(f318(f318(f225(f927(f926(x98351,x98351),a918)),x98353),f318(f318(f245(x98351,x98351),x98352),f318(f18(f927(x98351,a918),x98351),x98352))))
% 202.84/202.78 [9836]P56(x98361,x98362,x98363)+~P1(f318(f318(f320(f926(x98361,x98361)),f318(f318(f243(x98361,x98361),f556(x98362,x98363,x98361)),f556(x98362,x98363,x98361))),x98363))+~P1(f318(f318(f225(f927(f926(x98361,x98361),a918)),x98363),f318(f318(f245(x98361,x98361),x98362),f318(f18(f927(x98361,a918),x98361),x98362))))
% 202.84/202.78 [10011]~P146(x100111)+~P128(x100111)+E(f318(f318(f282(x100111),f318(f93(x100111),f318(f318(f66(f926(a1,a1),a1,x100112,f242(a1,a1)),f203(x100112)),x100113))),f318(f93(x100111),f318(f318(f66(f926(a1,a1),a1,x100112,f247(a1,a1)),f203(x100112)),x100113))),f213(x100112,x100111,x100113))
% 202.84/202.78 [10214]~E(x102143,f2(a920))+~E(f318(f180(f921(x102141)),f318(f318(f155(f921(x102141)),x102142),f716(x102143,x102141,x102142))),x102143)+E(f318(f318(f145(a920,f921(x102141)),f318(f318(f9(a920,f921(a920),f921(x102141)),f318(f318(f10(f927(a920,x102141),f927(f921(a920),f921(x102141)),a920),f145(a920,x102141)),f318(f9(a920,a920,x102141),f318(f318(f10(f921(x102141),f927(a920,x102141),a920),f155(x102141)),f318(f155(f921(x102141)),x102142))))),f130(a920,f318(f293(a920,f2(a920)),f318(f180(f921(f921(x102141))),x102142))))),f130(a920,f318(f293(a920,f2(a920)),x102143))),f170(x102141,x102142))
% 202.84/202.78 [10215]E(x102151,f104(f921(x102152)))+~E(f318(f180(f921(x102152)),f318(f318(f155(f921(x102152)),x102151),f716(x102153,x102152,x102151))),x102153)+E(f318(f318(f145(a920,f921(x102152)),f318(f318(f9(a920,f921(a920),f921(x102152)),f318(f318(f10(f927(a920,x102152),f927(f921(a920),f921(x102152)),a920),f145(a920,x102152)),f318(f9(a920,a920,x102152),f318(f318(f10(f921(x102152),f927(a920,x102152),a920),f155(x102152)),f318(f155(f921(x102152)),x102151))))),f130(a920,f318(f293(a920,f2(a920)),f318(f180(f921(f921(x102152))),x102151))))),f130(a920,f318(f293(a920,f2(a920)),x102153))),f170(x102152,x102151))
% 202.84/202.78 [10216]~E(x102163,f2(a920))+E(f318(f318(f145(a920,f921(x102161)),f318(f318(f9(a920,f921(a920),f921(x102161)),f318(f318(f10(f927(a920,x102161),f927(f921(a920),f921(x102161)),a920),f145(a920,x102161)),f318(f9(a920,a920,x102161),f318(f318(f10(f921(x102161),f927(a920,x102161),a920),f155(x102161)),f318(f155(f921(x102161)),x102162))))),f130(a920,f318(f293(a920,f2(a920)),f318(f180(f921(f921(x102161))),x102162))))),f130(a920,f318(f293(a920,f2(a920)),x102163))),f170(x102161,x102162))+P1(f318(f318(f226(a920),f716(x102163,x102161,x102162)),f318(f180(f921(f921(x102161))),x102162)))
% 202.84/202.78 [10217]E(x102171,f104(f921(x102172)))+E(f318(f318(f145(a920,f921(x102172)),f318(f318(f9(a920,f921(a920),f921(x102172)),f318(f318(f10(f927(a920,x102172),f927(f921(a920),f921(x102172)),a920),f145(a920,x102172)),f318(f9(a920,a920,x102172),f318(f318(f10(f921(x102172),f927(a920,x102172),a920),f155(x102172)),f318(f155(f921(x102172)),x102171))))),f130(a920,f318(f293(a920,f2(a920)),f318(f180(f921(f921(x102172))),x102171))))),f130(a920,f318(f293(a920,f2(a920)),x102173))),f170(x102172,x102171))+P1(f318(f318(f226(a920),f716(x102173,x102172,x102171)),f318(f180(f921(f921(x102172))),x102171)))
% 202.84/202.78 [7918]E(f318(f318(f73(a920),f318(f94(a920),x79181)),f318(f318(f73(a920),f318(f94(a920),x79182)),x79183)),f318(f318(f73(a920),f318(f94(a920),f318(f318(f73(a1),x79181),x79182))),x79183))+P1(f318(a184,f318(f94(a1),x79181)))+P1(f318(a184,f318(f94(a1),x79182)))
% 202.84/202.78 [8689]~P1(f318(f55(x86891),x86892))+~P1(f318(f318(f320(x86891),x86893),x86892))+E(f318(a103,f318(f29(x86891),f318(f318(f3(f927(x86891,a918)),x86892),f318(f318(f300(x86891),x86893),f179(f927(x86891,a918)))))),f318(f29(x86891),x86892))
% 202.84/202.78 [8705]~P1(f318(f55(x87051),x87052))+~P1(f318(f318(f320(x87051),x87053),x87052))+E(f318(f318(f73(a920),f71(a920)),f318(f29(x87051),f318(f318(f3(f927(x87051,a918)),x87052),f318(f318(f300(x87051),x87053),f179(f927(x87051,a918)))))),f318(f29(x87051),x87052))
% 202.84/202.78 [8793]~P4(x87931)+~P1(f318(f55(x87931),x87933))+E(f318(f318(f139(x87931,x87931,f7(x87931)),x87932),f130(x87931,f318(f318(f3(f927(x87931,a918)),x87933),f318(f318(f300(x87931),x87932),f179(f927(x87931,a918)))))),f130(x87931,f318(f318(f300(x87931),x87932),x87933)))
% 202.84/202.78 [8959]~P1(f318(f55(x89591),x89593))+~P1(f318(f55(x89591),x89592))+E(f318(f318(f73(a920),f318(f29(x89591),f318(f318(f101(f927(x89591,a918)),x89592),x89593))),f318(f29(x89591),f318(f318(f92(f927(x89591,a918)),x89592),x89593))),f318(f318(f73(a920),f318(f29(x89591),x89592)),f318(f29(x89591),x89593)))
% 202.84/202.78 [10163]~P25(x101631,f927(f927(x101631,a918),a918),f318(f318(f9(x101631,f927(f926(x101631,x101631),a918),f927(f927(x101631,a918),a918)),f318(f318(f10(f927(x101631,a918),f927(f927(f926(x101631,x101631),a918),f927(f927(x101631,a918),a918)),x101631),f54(x101631)),f318(f318(f9(x101631,f927(x101631,a918),f927(x101631,a918)),f300(x101631)),f179(f927(x101631,a918))))),x101633),x101632)+~P1(f318(f55(x101631),x101632))+E(f318(f29(f927(x101631,a918)),f318(f318(f54(x101631),x101632),x101633)),f318(f29(x101631),x101632))
% 202.84/202.78 [10453]~P42(f927(x104531,a918),f927(x104531,a918),x104532)+~P1(f318(f318(f225(f927(x104531,a918)),x104533),f318(x104532,f86(f927(x104531,a918),f318(f318(f9(f927(x104531,a918),f927(x104531,a918),f927(x104531,a918)),f318(f318(f10(f927(x104531,a918),f927(f927(x104531,a918),f927(x104531,a918)),f927(x104531,a918)),f101(f927(x104531,a918))),f318(f318(f9(f927(x104531,a918),f927(x104531,a918),f927(x104531,a918)),f318(f318(f10(f927(x104531,a918),f927(f927(x104531,a918),f927(x104531,a918)),f927(x104531,a918)),f101(f927(x104531,a918))),x104532)),x104533))),f87(f927(x104531,a918),x104532))))))+P1(f318(f318(f225(f927(x104531,a918)),f86(f927(x104531,a918),f318(f318(f9(f927(x104531,a918),f927(x104531,a918),f927(x104531,a918)),f318(f318(f10(f927(x104531,a918),f927(f927(x104531,a918),f927(x104531,a918)),f927(x104531,a918)),f101(f927(x104531,a918))),f318(f318(f9(f927(x104531,a918),f927(x104531,a918),f927(x104531,a918)),f318(f318(f10(f927(x104531,a918),f927(f927(x104531,a918),f927(x104531,a918)),f927(x104531,a918)),f101(f927(x104531,a918))),x104532)),x104533))),f87(f927(x104531,a918),x104532)))),f318(x104532,f86(f927(x104531,a918),f318(f318(f9(f927(x104531,a918),f927(x104531,a918),f927(x104531,a918)),f318(f318(f10(f927(x104531,a918),f927(f927(x104531,a918),f927(x104531,a918)),f927(x104531,a918)),f101(f927(x104531,a918))),f318(f318(f9(f927(x104531,a918),f927(x104531,a918),f927(x104531,a918)),f318(f318(f10(f927(x104531,a918),f927(f927(x104531,a918),f927(x104531,a918)),f927(x104531,a918)),f101(f927(x104531,a918))),x104532)),x104533))),f87(f927(x104531,a918),x104532))))))
% 202.84/202.78 [8189]~P100(x81891)+P1(f318(f318(f225(a1),f2(a1)),f318(f94(a1),x81893)))+E(f318(f318(f235(x81891),x81892),f318(f94(a920),f318(f318(f3(a1),f318(f318(f73(a1),x81893),x81893)),a88))),f71(x81891))
% 202.84/202.78 [9679]~P100(x96791)+~P1(f318(f318(f225(a1),f2(a1)),f318(f94(a1),x96793)))+E(f318(f318(f235(x96791),x96792),f318(f94(a920),f318(f318(f3(a1),f318(f318(f73(a1),x96793),x96793)),a88))),f318(f318(f79(x96791,x96791),f318(f318(f235(x96791),x96792),f318(f94(a920),x96793))),f318(f318(f20(x96791,x96791,x96791),f318(f318(f10(x96791,f927(x96791,x96791),x96791),f74(x96791)),f318(f74(x96791),x96792))),f7(x96791))))
% 202.84/202.78 [10073]~P1(f318(f128(x100731),x100733))+~P1(f318(f318(f320(x100731),x100732),f318(f163(x100731),x100733)))+E(f318(f318(f129(x100731),f318(f180(f921(x100731)),f168(x100731,f318(f318(f10(a918,a918,x100731),a313),f318(f318(f9(x100731,x100731,a918),a315),x100732)),f318(f159(x100731),x100733)))),f318(f159(x100731),x100733)),f318(f318(f142(x100731),x100732),f318(f159(x100731),f168(x100731,f318(f318(f10(a918,a918,x100731),a313),f318(f318(f9(x100731,x100731,a918),a315),x100732)),x100733))))
% 202.84/202.78 [10133]P1(f318(f318(f225(f927(f926(x101331,x101331),a918)),f298(x101331,x101332)),x101333))+~P1(f318(f318(f225(f927(f926(x101331,x101331),a918)),f298(x101331,f179(f927(f926(x101331,x101331),a918)))),x101333))+~P1(f318(f318(f225(f927(f926(x101331,x101331),a918)),f318(f318(f280(x101331,x101331,x101331),f318(f318(f92(f927(f926(x101331,x101331),a918)),f298(x101331,x101332)),x101333)),x101332)),x101333))
% 202.84/202.78 [9988]~P1(f318(f55(x99881),f318(f253(x99881),x99883)))+~P1(f318(f55(x99881),f318(f253(x99881),x99882)))+P1(f318(f55(x99881),f318(f253(x99881),f318(f318(f20(x99881,a918,a918),f318(f318(f10(a918,f927(a918,a918),x99881),a317),x99882)),x99883))))
% 202.84/202.78 [10279]P1(f318(f318(f225(f927(f926(x102791,x102791),a918)),f318(f318(f280(x102791,x102791,x102791),x102792),f298(x102791,x102792))),x102793))+~P1(f318(f318(f225(f927(f926(x102791,x102791),a918)),x102792),x102793))+~P1(f318(f318(f225(f927(f926(x102791,x102791),a918)),f318(f318(f280(x102791,x102791,x102791),f318(f318(f92(f927(f926(x102791,x102791),a918)),f318(f318(f280(x102791,x102791,x102791),x102792),f298(x102791,x102792))),x102793)),x102792)),x102793))
% 202.84/202.78 [10230]~P116(x102302)+E(x102301,f2(x102302))+~E(f318(f318(f73(x102302),f318(f318(f235(x102302),x102303),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88))))),f318(f318(f235(x102302),x102301),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88))))),f2(x102302))
% 202.84/202.78 [10231]~P116(x102312)+E(x102311,f2(x102312))+~E(f318(f318(f73(x102312),f318(f318(f235(x102312),x102311),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88))))),f318(f318(f235(x102312),x102313),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88))))),f2(x102312))
% 202.84/202.78 [10236]~P1(f318(f128(x102361),x102363))+~P1(f318(f318(f320(x102361),x102362),f318(f163(x102361),x102363)))+E(f318(f159(x102361),f318(f162(x102361),f318(f318(f129(x102361),f318(f180(f921(x102361)),f168(x102361,f318(f318(f10(a918,a918,x102361),a313),f318(f318(f9(x102361,x102361,a918),a315),x102362)),x102363))),x102363))),f168(x102361,f318(f318(f10(a918,a918,x102361),a313),f318(f318(f9(x102361,x102361,a918),a315),x102362)),f318(f159(x102361),x102363)))
% 202.84/202.78 [10325]~P116(x103252)+E(x103251,f2(x103252))+P1(f318(f318(f226(x103252),f2(x103252)),f318(f318(f73(x103252),f318(f318(f235(x103252),x103253),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88))))),f318(f318(f235(x103252),x103251),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))))))
% 202.84/202.78 [10326]~P116(x103262)+E(x103261,f2(x103262))+P1(f318(f318(f226(x103262),f2(x103262)),f318(f318(f73(x103262),f318(f318(f235(x103262),x103261),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88))))),f318(f318(f235(x103262),x103263),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))))))
% 202.84/202.78 [10381]~P116(x103811)+P1(f318(f318(f225(x103811),f2(x103811)),x103812))+~P1(f318(f318(f225(x103811),f2(x103811)),f318(f318(f235(x103811),x103812),f318(a103,f318(f318(f74(a920),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))),x103813)))))
% 202.84/202.78 [5645]~P14(x56451,x56454,x56453)+P14(x56451,x56452,x56453)+~P14(x56451,x56452,x56454)
% 202.84/202.78 [5110]~E(x51102,f83(x51103,x51101))+P1(f318(x51101,x51102))+~P1(f318(x51101,x51104))
% 202.84/202.78 [5361]E(f62(x53613,x53612,x53614),x53612)+E(x53611,f742(x53612,x53613,x53614))+~P1(f318(x53614,x53611))
% 202.84/202.78 [6689]E(f62(x66891,x66892,x66893),f78(x66891,x66893))+~E(f779(x66892,x66891,x66893,x66894),x66894)+~P1(f318(x66893,x66894))
% 202.84/202.78 [6905]~P39(x69052,x69054)+~P39(x69051,x69053)+P39(f926(x69051,x69052),f311(x69051,x69052,x69053,x69054))
% 202.84/202.78 [6906]~P40(x69062,x69064)+~P40(x69061,x69063)+P40(f926(x69061,x69062),f311(x69061,x69062,x69063,x69064))
% 202.84/202.78 [5300]~P7(x53004,x53001)+~E(f318(x53001,x53002),f318(x53001,x53003))+P1(f318(f318(x53001,x53002),x53003))
% 202.84/202.78 [5459]~P7(x54594,x54591)+E(f318(x54591,x54592),f318(x54591,x54593))+~P1(f318(f318(x54591,x54592),x54593))
% 202.84/202.78 [5460]~P16(x54604,x54601)+E(f318(x54601,x54602),f318(x54601,x54603))+~P1(f318(f318(x54601,x54602),x54603))
% 202.84/202.78 [5552]~P19(x55523,x55524,x55521)+E(f318(x55521,x55522),f318(f57(x55523,x55524),x55522))+~P1(f318(f55(x55523),x55522))
% 202.84/202.78 [5553]~P9(x55533,x55534,x55531)+E(f318(x55531,x55532),f318(f57(x55533,x55534),x55532))+~P1(f318(f55(x55533),x55532))
% 202.84/202.78 [5678]~P7(x56784,x56781)+~P1(f318(f318(x56781,x56783),x56782))+P1(f318(f318(x56781,x56782),x56783))
% 202.84/202.78 [5679]~P54(x56794,x56791)+~P1(f318(f318(x56791,x56793),x56792))+P1(f318(f318(x56791,x56792),x56793))
% 202.84/202.78 [5680]~P16(x56804,x56801)+~P1(f318(f318(x56801,x56803),x56802))+P1(f318(f318(x56801,x56802),x56803))
% 202.84/202.78 [5681]~P16(x56813,x56811)+P1(f318(f318(x56811,x56812),x56812))+~P1(f318(f318(x56811,x56814),x56812))
% 202.84/202.78 [5682]~P16(x56823,x56821)+P1(f318(f318(x56821,x56822),x56822))+~P1(f318(f318(x56821,x56822),x56824))
% 202.84/202.78 [5753]E(x57531,x57532)+~E(f318(f242(x57533,x57534),x57531),f318(f242(x57533,x57534),x57532))+~E(f318(f247(x57533,x57534),x57531),f318(f247(x57533,x57534),x57532))
% 202.84/202.78 [5781]E(x57811,x57812)+~P1(f318(f42(x57813,x57814),x57812))+~P1(f318(f42(x57813,x57814),x57811))
% 202.84/202.78 [5973]~P83(x59732)+E(f222(x59731,x59732,x59733,x59734),f2(x59732))+P1(f318(f55(x59731),x59734))
% 202.84/202.78 [6023]~P7(x60233,x60232)+~P1(f318(x60231,x60234))+P1(f318(x60231,f824(x60231,x60232,x60233)))
% 202.84/202.78 [6120]~P1(f318(f306(x61201,x61202),x61204))+P1(f318(f306(x61201,x61202),x61203))+~P1(f318(f318(x61202,x61203),x61204))
% 202.84/202.78 [6940]~P31(x69401,x69403,x69404)+P1(f318(x69401,x69402))+~P1(f318(f318(f320(a1),x69402),f294(a1,x69403,x69404)))
% 202.84/202.78 [7136]~P7(x71361,x71363)+~P1(f318(x71362,x71364))+P1(f318(f318(f320(x71361),f824(x71362,x71363,x71361)),f261(x71361,x71363)))
% 202.84/202.78 [8028]E(x80281,f2(a920))+~P1(f318(x80282,x80283))+P1(f318(x80282,f774(x80282,x80283,x80281,x80284)))
% 202.84/202.78 [8110]~P4(x81102)+~P1(f318(f128(x81101),x81104))+P1(f318(f128(x81101),f141(x81101,x81102,x81103,x81104)))
% 202.84/202.78 [8155]E(f62(x81551,x81552,x81553),f78(x81551,x81553))+~P1(f318(x81553,x81554))+P1(f318(x81553,f779(x81552,x81551,x81553,x81554)))
% 202.84/202.78 [8339]~P1(f318(f55(x83392),x83394))+~P1(f318(f55(x83391),x83393))+P1(f318(f55(f928(x83391,x83392)),f304(x83391,x83392,x83393,x83394)))
% 202.84/202.78 [8340]~P1(f318(f128(x83402),x83404))+~P1(f318(f128(x83401),x83403))+P1(f318(f128(f926(x83401,x83402)),f53(x83401,x83402,x83403,x83404)))
% 202.84/202.78 [8343]P1(f318(f318(f320(f921(x83431)),f318(f318(f125(x83431),x83432),x83433)),f152(x83431,x83434)))+~P1(f318(f318(f320(f921(x83431)),x83433),f152(x83431,x83434)))+~P1(f318(f318(f320(f921(x83431)),x83432),f152(x83431,x83434)))
% 202.84/202.78 [8623]E(x86231,f2(a920))+P1(f318(x86232,x86233))+~P1(f318(x86232,f775(x86232,x86233,x86231,x86234)))
% 202.84/202.78 [8662]~P4(x86623)+~P1(f318(f128(x86621),f141(x86621,x86623,x86624,x86622)))+P1(f318(f128(x86621),x86622))
% 202.84/202.78 [8948]~P1(f318(f318(f320(f926(x89481,x89481)),f318(f318(f243(x89481,x89481),x89482),x89484)),f298(x89481,x89483)))+P1(f318(f318(f320(x89481),x89482),f307(x89481,x89483)))+~P1(f318(f318(f320(x89481),x89484),f307(x89481,x89483)))
% 202.84/202.78 [5281]~P84(x52812)+E(f318(f318(f11(x52811,x52812),x52813),x52814),f71(x52812))+P1(f318(f55(x52811),x52814))
% 202.84/202.78 [5284]~P83(x52842)+E(f318(f318(f8(x52841,x52842),x52843),x52844),f2(x52842))+P1(f318(f55(x52841),x52844))
% 202.84/202.78 [5422]~P80(x54223)+E(x54221,x54222)+~E(f318(f318(f73(x54223),x54224),x54221),f318(f318(f73(x54223),x54224),x54222))
% 202.84/202.78 [5423]~P81(x54233)+E(x54231,x54232)+~E(f318(f318(f73(x54233),x54234),x54231),f318(f318(f73(x54233),x54234),x54232))
% 202.84/202.78 [5425]~P80(x54253)+E(x54251,x54252)+~E(f318(f318(f73(x54253),x54251),x54254),f318(f318(f73(x54253),x54252),x54254))
% 202.84/202.78 [5520]~P124(x55201)+~E(x55203,f318(f318(f74(x55201),x55202),x55204))+P1(f318(f318(f278(x55201),x55202),x55203))
% 202.84/202.78 [5548]~P5(x55483)+E(x55481,f179(f927(x55482,a918)))+E(f318(f318(f33(x55482,x55483),x55481),f318(f18(x55483,x55482),x55484)),x55484)
% 202.84/202.78 [5549]~P5(x55493)+E(x55491,f179(f927(x55492,a918)))+E(f318(f318(f34(x55492,x55493),x55491),f318(f18(x55493,x55492),x55494)),x55494)
% 202.84/202.78 [5767]~P113(x57673)+E(x57671,x57672)+~E(f294(x57673,x57674,x57671),f318(f318(f300(x57673),x57672),f179(f927(x57673,a918))))
% 202.84/202.78 [5768]~P113(x57683)+E(x57681,x57682)+~E(f294(x57683,x57681,x57682),f318(f318(f300(x57683),x57684),f179(f927(x57683,a918))))
% 202.84/202.78 [5829]~P37(x58293,x58291,x58294)+P37(x58293,x58291,f318(f318(f142(x58293),x58292),x58294))+P1(f318(x58291,x58292))
% 202.84/202.78 [5931]~P33(x59311,x59312,x59314)+~P1(f318(x59312,x59313))+P33(x59311,x59312,f318(f318(f142(x59311),x59313),x59314))
% 202.84/202.78 [6075]P1(f318(x60751,x60752))+~P1(f318(f239(x60753,x60751),x60754))+~P1(f318(f318(f320(x60753),x60752),x60754))
% 202.84/202.78 [6084]~P33(x60841,x60842,x60844)+~P33(x60841,x60842,x60843)+P33(x60841,x60842,f318(f318(f125(x60841),x60843),x60844))
% 202.84/202.78 [6099]P35(x60991,x60992,x60993)+~P35(x60991,x60992,f318(f318(f142(x60991),x60994),x60993))+P1(f318(x60992,x60994))
% 202.84/202.78 [6100]P37(x61001,x61002,x61003)+~P37(x61001,x61002,f318(f318(f142(x61001),x61004),x61003))+P1(f318(x61002,x61004))
% 202.84/202.78 [6179]P35(x61791,x61792,x61793)+P35(x61791,x61792,x61794)+~P35(x61791,x61792,f318(f318(f125(x61791),x61794),x61793))
% 202.84/202.78 [6199]~P83(x61991)+E(f318(f318(f8(a920,x61991),x61992),f318(f293(a920,x61993),f318(a103,x61994))),f2(x61991))+~P1(f318(f318(f226(a920),x61994),x61993))
% 202.84/202.78 [6204]~P71(x62041)+~E(f39(x62041,x62042,x62043),f39(x62041,x62044,x62043))+E(f39(x62041,f318(f72(x62041),x62042),x62043),f39(x62041,f318(f72(x62041),x62044),x62043))
% 202.84/202.78 [6273]P1(f318(x62731,x62732))+~E(f318(f127(x62733,x62731),x62734),x62734)+~P1(f318(f318(f320(x62733),x62732),f318(f163(x62733),x62734)))
% 202.84/202.78 [6293]~E(f318(f318(f73(a920),x62933),x62932),f318(f318(f73(a920),x62931),x62934))+~P1(f318(f318(f226(a920),x62933),x62934))+P1(f318(f318(f226(a920),x62931),x62932))
% 202.84/202.78 [6299]P35(x62991,x62992,x62993)+~P1(f318(x62992,x62994))+~P1(f318(f318(f320(x62991),x62994),f318(f163(x62991),x62993)))
% 202.84/202.78 [6339]~P33(x63393,x63391,x63394)+P1(f318(x63391,x63392))+~P1(f318(f318(f320(x63393),x63392),f318(f163(x63393),x63394)))
% 202.84/202.78 [6341]~E(f318(f127(x63411,x63412),x63413),f104(x63411))+~P1(f318(x63412,x63414))+~P1(f318(f318(f320(x63411),x63414),f318(f163(x63411),x63413)))
% 202.84/202.78 [6342]~E(f168(x63423,x63421,x63424),x63424)+P1(f318(x63421,x63422))+~P1(f318(f318(f320(x63423),x63422),f318(f163(x63423),x63424)))
% 202.84/202.78 [6369]~E(x63694,f179(f927(x63692,a918)))+~E(x63693,f179(f927(x63691,a918)))+E(f304(x63691,x63692,x63693,x63694),f179(f927(f928(x63691,x63692),a918)))
% 202.84/202.78 [6519]P1(f318(x65191,x65192))+~P1(f318(f151(x65193,x65191),x65194))+~P1(f318(f318(f320(x65193),x65192),f318(f163(x65193),x65194)))
% 202.84/202.78 [6658]~P32(x66581,x66583,x66584)+P1(f318(x66581,x66582))+~P1(f318(f318(f320(a920),x66582),f318(f293(a920,x66583),x66584)))
% 202.84/202.78 [6799]~P83(x67991)+E(f318(f318(f8(a920,x67991),x67992),f294(a920,x67993,f318(a103,x67994))),f2(x67991))+~P1(f318(f318(f226(a920),f318(a103,x67994)),x67993))
% 202.84/202.78 [6943]~P4(x69431)+E(f318(f318(f3(f927(x69431,a918)),f318(f293(x69431,x69432),x69433)),f318(f293(x69431,x69432),x69434)),f318(f293(x69431,x69434),x69433))+~P1(f318(f318(f225(x69431),x69432),x69434))
% 202.84/202.78 [7015]~E(x70153,x70154)+E(x70151,f2(a920))+P1(f318(f318(f320(x70152),x70153),f318(f163(x70152),f160(x70152,x70151,x70154))))
% 202.84/202.78 [7300]~P1(f318(f318(f320(f921(x73001)),x73004),f152(x73001,x73003)))+P1(f318(f318(f320(x73001),x73002),x73003))+~P1(f318(f318(f320(x73001),x73002),f318(f163(x73001),x73004)))
% 202.84/202.78 [7307]~P39(x73071,x73072)+P1(f318(f318(f320(x73071),f615(x73072,x73071,x73073)),x73073))+~P1(f318(f318(f320(x73071),x73074),x73073))
% 202.84/202.78 [7365]~P84(x73651)+E(f318(f318(f318(f59(x73651,x73652,f74(x73651)),x73653),f71(x73651)),x73654),f318(f318(f11(x73652,x73651),x73653),x73654))+~P1(f318(f55(x73652),x73654))
% 202.84/202.78 [7367]~P83(x73671)+E(f318(f318(f318(f59(x73671,x73672,f73(x73671)),x73673),f2(x73671)),x73674),f318(f318(f8(x73672,x73671),x73673),x73674))+~P1(f318(f55(x73672),x73674))
% 202.84/202.78 [7398]P25(x73981,x73982,x73983,x73984)+~E(f318(f29(x73982),f318(f301(x73981,x73982,x73983),x73984)),f318(f29(x73981),x73984))+~P1(f318(f55(x73981),x73984))
% 202.84/202.78 [7588]~P83(x75881)+E(f318(f318(f73(x75881),f318(x75882,x75883)),f318(f318(f8(a920,x75881),x75882),f296(a920,x75883,x75884))),f318(f318(f8(a920,x75881),x75882),f294(a920,x75883,x75884)))+~P1(f318(f318(f225(a920),x75883),x75884))
% 202.84/202.78 [7597]~P84(x75971)+~P25(x75972,x75971,x75973,x75974)+E(f318(f318(f11(x75971,x75971),f25(x75971)),f318(f301(x75972,x75971,x75973),x75974)),f318(f318(f11(x75972,x75971),x75973),x75974))
% 202.84/202.78 [7598]~P83(x75981)+~P25(x75982,x75981,x75983,x75984)+E(f318(f318(f8(x75981,x75981),f25(x75981)),f318(f301(x75982,x75981,x75983),x75984)),f318(f318(f8(x75982,x75981),x75983),x75984))
% 202.84/202.78 [7647]E(f318(f29(f928(x76471,x76472)),f304(x76471,x76472,x76473,x76474)),f318(f318(f73(a920),f318(f29(x76471),x76473)),f318(f29(x76472),x76474)))+~P1(f318(f55(x76472),x76474))+~P1(f318(f55(x76471),x76473))
% 202.84/202.78 [7728]E(x77281,x77282)+P1(f318(f318(f320(x77283),x77281),f318(f163(x77283),f161(x77283,x77282,x77284))))+~P1(f318(f318(f320(x77283),x77281),f318(f163(x77283),x77284)))
% 202.84/202.78 [7872]~P1(f318(f318(f225(f927(x78721,a918)),x78724),f318(x78723,x78724)))+~P1(f318(f318(f320(x78721),x78722),x78724))+P1(f318(f318(f320(x78721),x78722),f87(f927(x78721,a918),x78723)))
% 202.84/202.78 [7957]~P83(x79571)+E(f318(f318(f73(x79571),f318(f318(f8(a920,x79571),x79572),f318(f293(a920,x79573),x79574))),f318(x79572,x79574)),f318(f318(f8(a920,x79571),x79572),f318(f293(a920,x79573),f318(a103,x79574))))+P1(f318(f318(f226(a920),x79574),x79573))
% 202.84/202.78 [8007]~P25(x80071,x80072,x80073,f233(f927(x80071,a918)))+~P1(f318(f55(x80072),x80074))+P1(f318(f55(x80071),f318(f302(x80071,x80072,x80073),x80074)))
% 202.84/202.78 [8125]P1(f318(f318(f320(f921(x81251)),f318(f318(f142(x81251),x81252),x81253)),f152(x81251,x81254)))+~P1(f318(f318(f320(f921(x81251)),x81253),f152(x81251,x81254)))+~P1(f318(f318(f320(x81251),x81252),x81254))
% 202.84/202.78 [8213]~E(f318(f301(x82133,x82131,x82134),f233(f927(x82133,a918))),f233(f927(x82131,a918)))+P1(f318(f55(x82131),x82132))+~P1(f318(f55(x82133),f318(f302(x82133,x82131,x82134),x82132)))
% 202.84/202.78 [8309]~P25(x83091,x83093,x83094,x83092)+P1(f318(f55(x83091),x83092))+~P1(f318(f55(x83093),f318(f301(x83091,x83093,x83094),x83092)))
% 202.84/202.78 [8333]~E(x83332,x83333)+P1(f318(f318(f320(f926(x83331,x83331)),f318(f318(f243(x83331,x83331),x83332),x83333)),f254(x83331,x83334)))+~P1(f318(f318(f320(x83331),x83332),x83334))
% 202.84/202.78 [8368]~P83(x83681)+E(f318(f318(f73(x83681),f318(f318(f8(a920,x83681),x83682),f294(a920,x83683,x83684))),f318(x83682,f318(a103,x83684))),f318(f318(f8(a920,x83681),x83682),f294(a920,x83683,f318(a103,x83684))))+P1(f318(f318(f226(a920),f318(a103,x83684)),x83683))
% 202.84/202.78 [8428]P1(f318(x84281,x84282))+~P1(f318(x84281,f318(f318(f155(x84283),x84284),f667(x84281,x84284,x84283))))+~P1(f318(f318(f320(x84283),x84282),f318(f163(x84283),x84284)))
% 202.84/202.78 [8568]~P1(f318(f318(f320(x85681),x85682),f307(x85681,x85684)))+P1(f318(f318(f320(f921(x85681)),f318(f318(f142(x85681),x85682),x85683)),f307(f921(x85681),f148(x85681,x85684))))+~P1(f318(f318(f320(f921(x85681)),x85683),f307(f921(x85681),f148(x85681,x85684))))
% 202.84/202.78 [8583]~P25(x85832,x85833,x85834,f875(x85834,x85833,x85832,x85831))+P25(x85832,x85833,x85834,f32(f927(x85832,a918),x85831))+E(x85831,f179(f927(f927(x85832,a918),a918)))
% 202.84/202.78 [8857]E(x88571,x88572)+~P1(f318(f318(f320(f926(x88573,x88573)),f318(f318(f243(x88573,x88573),x88571),x88572)),f298(x88573,x88574)))+P1(f318(f318(f320(x88573),x88571),f318(f255(x88573,x88573),x88574)))
% 202.84/202.78 [9139]E(x91391,f2(a920))+P1(f318(x91392,x91393))+P1(f318(f318(f320(x91394),f775(x91392,x91393,x91391,x91394)),f318(f163(x91394),f160(x91394,x91391,x91393))))
% 202.84/202.78 [9151]E(x91511,f2(a920))+~P1(f318(x91513,x91514))+P1(f318(f318(f320(x91512),f774(x91513,x91514,x91511,x91512)),f318(f163(x91512),f160(x91512,x91511,x91514))))
% 202.84/202.78 [9153]~P26(x91531,x91532,x91533,f233(f927(x91531,a918)),f233(f927(x91532,a918)))+~P1(f318(f55(x91532),x91534))+P1(f318(f55(x91531),f318(f302(x91531,x91532,x91533),x91534)))
% 202.84/202.78 [9156]P25(x91562,x91563,x91564,f32(f927(x91562,a918),x91561))+E(x91561,f179(f927(f927(x91562,a918),a918)))+P1(f318(f318(f320(f927(x91562,a918)),f875(x91564,x91563,x91562,x91561)),x91561))
% 202.84/202.78 [9273]~P26(x92733,x92731,x92734,f233(f927(x92733,a918)),f233(f927(x92731,a918)))+P1(f318(f55(x92731),x92732))+~P1(f318(f55(x92733),f318(f302(x92733,x92731,x92734),x92732)))
% 202.84/202.78 [9290]P1(f318(f55(x92901),x92902))+~P1(f318(f55(x92904),f318(f301(x92901,x92904,x92903),x92902)))+P1(f318(f318(f320(x92901),f584(x92903,x92904,x92902,x92901)),x92902))
% 202.84/202.78 [9386]~P5(x93862)+E(f318(f318(f58(x93861,x93862,f318(f318(f10(x93862,f927(x93862,x93862),x93861),f101(x93862)),x93863)),f179(x93862)),x93864),f318(f318(f33(x93861,x93862),x93864),x93863))+~P1(f318(f55(x93861),x93864))
% 202.84/202.78 [9387]~P5(x93872)+E(f318(f318(f58(x93871,x93872,f318(f318(f10(x93872,f927(x93872,x93872),x93871),f92(x93872)),x93873)),f233(x93872)),x93874),f318(f318(f34(x93871,x93872),x93874),x93873))+~P1(f318(f55(x93871),x93874))
% 202.84/202.78 [9471]P1(f318(x94711,x94712))+~P1(f318(x94711,f318(f318(f155(x94713),x94714),f704(x94712,x94711,x94714,x94713))))+~P1(f318(f318(f320(x94713),x94712),f318(f163(x94713),x94714)))
% 202.84/202.78 [9493]E(x94931,x94932)+~P1(f318(f318(f320(f926(x94933,x94933)),f318(f318(f243(x94933,x94933),x94931),x94932)),f298(x94933,x94934)))+P1(f318(f318(f320(f926(x94933,x94933)),f318(f318(f243(x94933,x94933),x94931),x94932)),f318(f318(f280(x94933,x94933,x94933),x94934),f298(x94933,x94934))))
% 202.84/202.78 [9544]~E(f318(f180(f921(x95441)),x95442),f318(f180(f921(x95441)),x95443))+~P1(f318(f318(f320(f926(f921(x95441),f921(x95441))),f318(f318(f243(f921(x95441),f921(x95441)),x95442),x95443)),f138(x95441,x95444)))+P1(f318(f318(f320(f926(f921(x95441),f921(x95441))),f318(f318(f243(f921(x95441),f921(x95441)),x95442),x95443)),f136(x95441,x95444)))
% 202.84/202.78 [9782]P33(x97821,f318(f318(f20(x97821,a918,a918),f318(f318(f10(a918,f927(a918,a918),x97821),a317),f318(f318(f10(a918,a918,x97821),a313),x97822))),f318(a315,x97823)),x97824)+~P1(f318(x97822,x97823))+~P37(x97821,x97822,f318(f318(f142(x97821),x97823),x97824))
% 202.84/202.78 [9950]~P33(x99501,f318(f318(f20(x99501,a918,a918),f318(f318(f10(a918,f927(a918,a918),x99501),a317),f318(f318(f10(a918,a918,x99501),a313),x99502))),f318(a315,x99503)),x99504)+~P1(f318(x99502,x99503))+P37(x99501,x99502,f318(f318(f142(x99501),x99503),x99504))
% 202.84/202.78 [9954]~P37(x99541,x99542,x99544)+~P33(x99541,f318(f318(f20(x99541,a918,a918),f318(f318(f10(a918,f927(a918,a918),x99541),a317),f318(f318(f10(a918,a918,x99541),a313),x99542))),f318(a315,x99543)),x99544)+P37(x99541,x99542,f318(f318(f142(x99541),x99543),x99544))
% 202.84/202.78 [9989]~P69(x99891)+E(f318(f318(f8(a920,x99891),f318(f318(f20(a920,x99891,x99891),f318(f318(f10(x99891,f927(x99891,x99891),a920),f3(x99891)),x99892)),f318(f318(f10(a920,x99891,a920),x99892),f318(f318(f9(a920,a920,a920),f73(a920)),f71(a920))))),f294(a920,x99893,x99894)),f2(x99891))+P1(f318(f318(f225(a920),x99893),x99894))
% 202.84/202.78 [10229]~P39(x102292,x102294)+~P25(x102292,x102291,x102293,f233(f927(x102292,a918)))+P39(x102291,f318(f301(f926(x102292,x102292),f926(x102291,x102291),f249(x102292,x102291,x102292,x102291,x102293,x102293)),x102294))
% 202.84/202.78 [10417]~E(f318(f180(f921(x104171)),x104173),f318(f180(f921(x104171)),x104172))+P1(f318(f318(f320(f926(f921(x104171),f921(x104171))),f318(f318(f243(f921(x104171),f921(x104171)),x104172),x104173)),f149(x104171,x104174)))+~P1(f318(f318(f248(x104171,x104171,a918),f318(f318(f9(x104171,f927(f926(x104171,x104171),a918),f927(x104171,a918)),f318(f318(f10(f927(x104171,f927(f927(f926(x104171,x104171),a918),a918)),f927(f927(f926(x104171,x104171),a918),f927(x104171,a918)),x104171),f9(x104171,f927(f926(x104171,x104171),a918),a918)),f318(f318(f10(f927(x104171,f926(x104171,x104171)),f927(x104171,f927(f927(f926(x104171,x104171),a918),a918)),x104171),f318(f10(f926(x104171,x104171),f927(f927(f926(x104171,x104171),a918),a918),x104171),f320(f926(x104171,x104171)))),f243(x104171,x104171)))),x104174)),f669(x104174,x104173,x104172,x104171)))
% 202.84/202.78 [6254]~P70(x62541)+~E(x62542,f2(x62541))+E(f318(f318(f30(x62541),f318(f318(f74(x62541),x62542),x62543)),f318(f318(f74(x62541),x62542),x62544)),f2(x62541))
% 202.84/202.78 [6296]E(x62961,f104(x62962))+E(x62963,f318(f318(f3(a920),f318(f180(f921(x62962)),x62961)),f71(a920)))+E(f135(x62962,f318(f318(f150(x62962,x62961),x62963),x62964)),f135(x62962,x62961))
% 202.84/202.78 [6330]E(x63301,x63302)+P1(f318(x63303,x63302))+~P1(f318(f318(f318(f300(x63304),x63301),x63303),x63302))
% 202.84/202.78 [6346]~P83(x63461)+~P1(f318(f128(x63462),x63464))+E(f318(f156(x63461),f318(f318(f145(x63462,x63461),x63463),x63464)),f318(f318(f8(x63462,x63461),x63463),f318(f163(x63462),x63464)))
% 202.84/202.78 [6362]~P84(x63622)+~P1(f318(f55(x63621),x63624))+E(f318(f318(f11(x63621,x63622),f318(f18(x63622,x63621),x63623)),x63624),f318(f318(f235(x63622),x63623),f318(f29(x63621),x63624)))
% 202.84/202.78 [6416]~P70(x64162)+E(x64161,f2(x64162))+E(f318(f318(f30(x64162),f318(f318(f74(x64162),x64163),x64161)),f318(f318(f74(x64162),x64164),x64161)),f318(f318(f30(x64162),x64163),x64164))
% 202.84/202.78 [6418]~P74(x64182)+E(x64181,f2(x64182))+E(f318(f318(f282(x64182),f318(f318(f74(x64182),x64183),x64181)),f318(f318(f74(x64182),x64184),x64181)),f318(f318(f282(x64182),x64183),x64184))
% 202.84/202.78 [6419]~P74(x64192)+E(x64191,f2(x64192))+E(f318(f318(f282(x64192),f318(f318(f74(x64192),x64191),x64193)),f318(f318(f74(x64192),x64191),x64194)),f318(f318(f282(x64192),x64193),x64194))
% 202.84/202.78 [6420]~P70(x64202)+E(x64201,f2(x64202))+E(f318(f318(f30(x64202),f318(f318(f74(x64202),x64201),x64203)),f318(f318(f74(x64202),x64201),x64204)),f318(f318(f30(x64202),x64203),x64204))
% 202.84/202.78 [6487]P1(f318(x64871,x64872))+~E(x64873,f318(f318(f73(a920),x64874),x64872))+~P1(f318(x64871,f318(f318(f3(a920),x64873),x64874)))
% 202.84/202.78 [6572]P29(x65721,x65722,x65723)+P28(x65721,f625(x65723,x65722,x65721),x65724)+~P1(f318(f318(f320(f919(x65721)),x65724),x65722))
% 202.84/202.78 [6574]~P1(f318(x65742,x65743))+~P1(f318(f151(x65741,x65742),x65744))+P1(f318(f151(x65741,x65742),f318(f318(f142(x65741),x65743),x65744)))
% 202.84/202.78 [6615]E(x66151,f104(x66152))+~E(x66153,f318(f318(f3(a920),f318(f180(f921(x66152)),x66151)),f71(a920)))+E(f135(x66152,f318(f318(f150(x66152,x66151),x66153),x66154)),x66154)
% 202.84/202.78 [6638]~P109(x66381)+~P1(f318(f318(f225(x66381),x66382),x66384))+P1(f318(f318(f225(x66381),x66382),f318(f318(f101(x66381),x66383),x66384)))
% 202.84/202.78 [6639]~P109(x66391)+~P1(f318(f318(f225(x66391),x66392),x66393))+P1(f318(f318(f225(x66391),x66392),f318(f318(f101(x66391),x66393),x66394)))
% 202.84/202.78 [6641]~P4(x66411)+~P1(f318(f318(f225(x66411),x66412),x66414))+P1(f318(f318(f225(x66411),x66412),f318(f318(f224(x66411),x66413),x66414)))
% 202.84/202.78 [6643]~P4(x66431)+~P1(f318(f318(f225(x66431),x66432),x66433))+P1(f318(f318(f225(x66431),x66432),f318(f318(f224(x66431),x66433),x66434)))
% 202.84/202.78 [6644]~P109(x66441)+~P1(f318(f318(f226(x66441),x66442),x66444))+P1(f318(f318(f226(x66441),x66442),f318(f318(f101(x66441),x66443),x66444)))
% 202.84/202.78 [6645]~P109(x66451)+~P1(f318(f318(f226(x66451),x66452),x66453))+P1(f318(f318(f226(x66451),x66452),f318(f318(f101(x66451),x66453),x66454)))
% 202.84/202.78 [6647]~P4(x66471)+~P1(f318(f318(f226(x66471),x66472),x66474))+P1(f318(f318(f226(x66471),x66472),f318(f318(f224(x66471),x66473),x66474)))
% 202.84/202.78 [6649]~P4(x66491)+~P1(f318(f318(f226(x66491),x66492),x66493))+P1(f318(f318(f226(x66491),x66492),f318(f318(f224(x66491),x66493),x66494)))
% 202.84/202.78 [6650]~P118(x66501)+~P1(f318(f318(f278(x66501),x66502),x66504))+P1(f318(f318(f278(x66501),x66502),f318(f318(f74(x66501),x66503),x66504)))
% 202.84/202.78 [6651]~P118(x66511)+~P1(f318(f318(f278(x66511),x66512),x66513))+P1(f318(f318(f278(x66511),x66512),f318(f318(f74(x66511),x66513),x66514)))
% 202.84/202.78 [6740]~E(f318(f318(f155(x67401),x67402),x67403),x67404)+E(f318(f318(f150(x67401,x67402),x67403),x67404),x67402)+~P1(f318(f318(f226(a920),x67403),f318(f180(f921(x67401)),x67402)))
% 202.84/202.78 [6783]P1(f318(x67831,x67832))+~P1(f318(x67833,x67832))+~P1(f318(f318(f225(f927(x67834,a918)),x67833),x67831))
% 202.84/202.78 [6816]~E(f318(f318(f150(x68161,x68162),x68163),x68164),x68162)+E(f318(f318(f155(x68161),x68162),x68163),x68164)+~P1(f318(f318(f226(a920),x68163),f318(f180(f921(x68161)),x68162)))
% 202.84/202.78 [6830]~P1(f318(f151(x68301,x68302),x68304))+~P1(f318(f151(x68301,x68302),x68303))+P1(f318(f151(x68301,x68302),f318(f318(f125(x68301),x68303),x68304)))
% 202.84/202.78 [6932]P28(x69321,x69322,x69323)+~P28(x69321,f318(a103,x69322),f886(x69322,x69324,x69321))+~P1(f318(f318(f320(f919(x69321)),x69323),x69324))
% 202.84/202.78 [6939]E(x69391,f179(f927(x69392,a918)))+E(x69393,f179(f927(x69394,a918)))+~E(f318(f318(f245(x69394,x69392),x69393),f318(f18(f927(x69392,a918),x69394),x69391)),f179(f927(f926(x69394,x69392),a918)))
% 202.84/202.78 [6959]E(x69591,x69592)+P1(f318(f318(f320(x69593),x69591),x69594))+~P1(f318(f318(f320(x69593),x69591),f318(f318(f300(x69593),x69592),x69594)))
% 202.84/202.78 [6976]~P4(x69761)+P1(f318(f318(f225(x69761),x69762),x69763))+~P1(f318(f318(f225(x69761),x69762),f318(f318(f223(x69761),x69764),x69763)))
% 202.84/202.78 [6978]~P4(x69781)+P1(f318(f318(f225(x69781),x69782),x69783))+~P1(f318(f318(f225(x69781),x69782),f318(f318(f223(x69781),x69783),x69784)))
% 202.84/202.78 [6980]~P103(x69801)+P1(f318(f318(f225(x69801),x69802),x69803))+~P1(f318(f318(f225(x69801),x69802),f318(f318(f92(x69801),x69804),x69803)))
% 202.84/202.78 [6982]~P103(x69821)+P1(f318(f318(f225(x69821),x69822),x69823))+~P1(f318(f318(f225(x69821),x69822),f318(f318(f92(x69821),x69823),x69824)))
% 202.84/202.78 [6983]~P4(x69831)+P1(f318(f318(f226(x69831),x69832),x69833))+~P1(f318(f318(f226(x69831),x69832),f318(f318(f223(x69831),x69834),x69833)))
% 202.84/202.78 [6984]~P4(x69841)+P1(f318(f318(f226(x69841),x69842),x69843))+~P1(f318(f318(f226(x69841),x69842),f318(f318(f223(x69841),x69843),x69844)))
% 202.84/202.78 [7006]~E(f318(f318(f155(x70061),x70063),x70064),x70062)+P1(f318(f318(f320(x70061),x70062),f318(f163(x70061),x70063)))+~P1(f318(f318(f226(a920),x70064),f318(f180(f921(x70061)),x70063)))
% 202.84/202.78 [7016]~P4(x70161)+~P13(x70161,f318(f318(f142(x70161),x70162),f318(f318(f142(x70161),x70163),x70164)))+P1(f318(f318(f225(x70161),x70162),x70163))
% 202.84/202.78 [7163]~P33(x71632,x71631,x71633)+P1(f318(x71631,f318(f318(f155(x71632),x71633),x71634)))+~P1(f318(f318(f226(a920),x71634),f318(f180(f921(x71632)),x71633)))
% 202.84/202.78 [7182]E(x71821,f2(a1))+E(f318(f318(f30(a1),x71822),x71821),x71823)+~P1(f318(f43(x71822,x71821),f318(f318(f243(a1,a1),x71823),x71824)))
% 202.84/202.78 [7203]E(f39(a1,x72032,x72031),x72033)+E(x72031,f2(a1))+~P1(f318(f43(x72032,x72031),f318(f318(f243(a1,a1),x72034),x72033)))
% 202.84/202.78 [7324]P1(f318(f318(f320(x73241),x73242),x73243))+~P1(f318(f318(f320(x73241),x73242),x73244))+~P1(f318(f318(f226(f927(x73241,a918)),x73244),x73243))
% 202.84/202.78 [7325]P1(f318(f318(f320(x73251),x73252),x73253))+~P1(f318(f318(f320(x73251),x73252),x73254))+~P1(f318(f318(f225(f927(x73251,a918)),x73254),x73253))
% 202.84/202.78 [7337]~P117(x73371)+~E(x73373,f2(x73371))+P1(f318(f318(f278(x73371),f318(f318(f74(x73371),x73372),x73373)),f318(f318(f74(x73371),x73374),x73373)))
% 202.84/202.78 [7338]~P117(x73381)+~E(x73382,f2(x73381))+P1(f318(f318(f278(x73381),f318(f318(f74(x73381),x73382),x73383)),f318(f318(f74(x73381),x73382),x73384)))
% 202.84/202.78 [7442]P35(x74421,x74422,x74423)+~P1(f318(x74422,f318(f318(f155(x74421),x74423),x74424)))+~P1(f318(f318(f226(a920),x74424),f318(f180(f921(x74421)),x74423)))
% 202.84/202.78 [7554]~P3(x75542)+~P1(f318(f318(f226(f927(x75541,x75542)),x75543),x75544))+P1(f318(f318(f225(f927(x75541,x75542)),x75543),x75544))
% 202.84/202.78 [7636]~P14(x76361,x76362,x76364)+P14(x76361,x76362,f318(f318(f300(f919(x76361)),x76363),x76364))+~P14(x76361,x76362,f318(f318(f300(f919(x76361)),x76363),f179(f927(f919(x76361),a918))))
% 202.84/202.78 [7678]~P1(f318(f318(f320(x76781),x76782),x76784))+P1(f318(f318(f320(x76781),x76782),f31(f927(x76781,a918),x76783)))+~P1(f318(f318(f320(f927(x76781,a918)),x76784),x76783))
% 202.84/202.78 [7688]P28(x76881,x76882,x76883)+P1(f318(f318(f320(f919(x76881)),f886(x76882,x76884,x76881)),x76884))+~P1(f318(f318(f320(f919(x76881)),x76883),x76884))
% 202.84/202.78 [7706]~P91(x77061)+~P1(f318(f318(f225(x77061),x77063),x77064))+P1(f318(f318(f225(x77061),f318(f318(f73(x77061),x77062),x77063)),f318(f318(f73(x77061),x77062),x77064)))
% 202.84/202.78 [7707]~P92(x77071)+~P1(f318(f318(f225(x77071),x77073),x77074))+P1(f318(f318(f225(x77071),f318(f318(f73(x77071),x77072),x77073)),f318(f318(f73(x77071),x77072),x77074)))
% 202.84/202.78 [7708]~P91(x77081)+~P1(f318(f318(f225(x77081),x77082),x77084))+P1(f318(f318(f225(x77081),f318(f318(f73(x77081),x77082),x77083)),f318(f318(f73(x77081),x77084),x77083)))
% 202.84/202.78 [7709]~P92(x77091)+~P1(f318(f318(f225(x77091),x77092),x77094))+P1(f318(f318(f225(x77091),f318(f318(f73(x77091),x77092),x77093)),f318(f318(f73(x77091),x77094),x77093)))
% 202.84/202.78 [7710]~P91(x77101)+~P1(f318(f318(f226(x77101),x77103),x77104))+P1(f318(f318(f226(x77101),f318(f318(f73(x77101),x77102),x77103)),f318(f318(f73(x77101),x77102),x77104)))
% 202.84/202.78 [7711]~P94(x77111)+~P1(f318(f318(f226(x77111),x77113),x77114))+P1(f318(f318(f226(x77111),f318(f318(f73(x77111),x77112),x77113)),f318(f318(f73(x77111),x77112),x77114)))
% 202.84/202.78 [7712]~P91(x77121)+~P1(f318(f318(f226(x77121),x77122),x77124))+P1(f318(f318(f226(x77121),f318(f318(f73(x77121),x77122),x77123)),f318(f318(f73(x77121),x77124),x77123)))
% 202.84/202.78 [7713]~P94(x77131)+~P1(f318(f318(f226(x77131),x77132),x77134))+P1(f318(f318(f226(x77131),f318(f318(f73(x77131),x77132),x77133)),f318(f318(f73(x77131),x77134),x77133)))
% 202.84/202.78 [7714]~P117(x77141)+~P1(f318(f318(f278(x77141),x77143),x77144))+P1(f318(f318(f278(x77141),f318(f318(f74(x77141),x77142),x77143)),f318(f318(f74(x77141),x77142),x77144)))
% 202.84/202.78 [7715]~P117(x77151)+~P1(f318(f318(f278(x77151),x77152),x77154))+P1(f318(f318(f278(x77151),f318(f318(f74(x77151),x77152),x77153)),f318(f318(f74(x77151),x77154),x77153)))
% 202.84/202.78 [7722]~P139(x77221)+~P101(x77221)+E(f318(f318(f3(x77221),f318(f318(f74(x77221),x77222),f318(f94(x77221),x77223))),f318(f318(f74(x77221),x77224),f318(f94(x77221),x77223))),f318(f318(f74(x77221),f318(f318(f3(x77221),x77222),x77224)),f318(f94(x77221),x77223)))
% 202.84/202.78 [7723]~P147(x77231)+~P101(x77231)+E(f318(f318(f73(x77231),f318(f318(f74(x77231),x77232),f318(f94(x77231),x77233))),f318(f318(f74(x77231),x77234),f318(f94(x77231),x77233))),f318(f318(f74(x77231),f318(f318(f73(x77231),x77232),x77234)),f318(f94(x77231),x77233)))
% 202.84/202.78 [7759]~P83(x77591)+E(f318(f318(f73(x77591),f318(x77592,x77593)),f318(f318(f8(a920,x77591),x77592),f294(a920,f318(a103,x77593),x77594))),f318(f318(f8(a920,x77591),x77592),f294(a920,x77593,x77594)))+~P1(f318(f318(f225(a920),x77593),x77594))
% 202.84/202.78 [7771]~P25(x77712,x77711,x77713,f318(f163(x77712),x77714))+~P1(f318(f128(x77712),x77714))+P1(f318(f128(x77711),f318(f318(f145(x77712,x77711),x77713),x77714)))
% 202.84/202.78 [7820]~P1(f318(f318(f225(a920),x78202),x78204))+~P1(f318(f318(f225(a920),x78201),x78203))+P1(f318(f318(f225(a920),f318(f318(f74(a920),x78201),x78202)),f318(f318(f74(a920),x78203),x78204)))
% 202.84/202.78 [7821]~P1(f318(f318(f225(a920),x78212),x78214))+~P1(f318(f318(f225(a920),x78211),x78213))+P1(f318(f318(f225(a920),f318(f318(f73(a920),x78211),x78212)),f318(f318(f73(a920),x78213),x78214)))
% 202.84/202.78 [7824]~P1(f318(f318(f226(a920),x78242),x78244))+~P1(f318(f318(f226(a920),x78241),x78243))+P1(f318(f318(f226(a920),f318(f318(f73(a920),x78241),x78242)),f318(f318(f73(a920),x78243),x78244)))
% 202.84/202.78 [7825]~P1(f318(f318(f225(a1),x78252),x78254))+~P1(f318(f318(f226(a1),x78251),x78253))+P1(f318(f318(f226(a1),f318(f318(f73(a1),x78251),x78252)),f318(f318(f73(a1),x78253),x78254)))
% 202.84/202.78 [7874]P1(f318(f318(f320(x78741),x78742),x78743))+~P1(f318(f318(f320(x78741),x78742),f32(f927(x78741,a918),x78744)))+~P1(f318(f318(f320(f927(x78741,a918)),x78743),x78744))
% 202.84/202.78 [7890]~P1(f318(x78901,f665(x78901,x78903,x78902)))+P1(f318(x78901,f318(f318(f155(x78902),x78903),x78904)))+~P1(f318(f318(f226(a920),x78904),f318(f180(f921(x78902)),x78903)))
% 202.84/202.78 [7895]P1(f318(x78951,x78952))+~P1(f318(f318(f320(x78954),x78952),f318(f163(x78954),x78953)))+P1(f318(f318(f226(a920),f667(x78951,x78953,x78954)),f318(f180(f921(x78954)),x78953)))
% 202.84/202.78 [7942]~P3(x79421)+~P1(f318(f318(f226(f927(x79422,x79421)),x79424),x79423))+~P1(f318(f318(f225(f927(x79422,x79421)),x79423),x79424))
% 202.84/202.78 [7985]~P1(f318(x79854,x79852))+~P1(f318(f318(f320(x79851),x79852),x79853))+P1(f318(f318(f320(x79851),x79852),f318(f318(f92(f927(x79851,a918)),x79853),f318(f253(x79851),x79854))))
% 202.84/202.78 [8133]~P1(f318(f318(f320(x81331),x81333),x81334))+~P1(f318(f318(f226(f927(x81331,a918)),x81332),x81334))+P1(f318(f318(f226(f927(x81331,a918)),x81332),f318(f318(f300(x81331),x81333),x81334)))
% 202.84/202.78 [8135]E(f318(f318(f92(f927(x81351,a918)),x81352),x81353),f179(f927(x81351,a918)))+~E(f318(f318(f92(f927(x81351,a918)),f31(f927(x81351,a918),x81354)),x81353),f179(f927(x81351,a918)))+~P1(f318(f318(f320(f927(x81351,a918)),x81352),x81354))
% 202.84/202.78 [8209]P1(f318(f318(f320(x82091),x82092),x82093))+~P1(f318(f318(f225(f927(x82091,a918)),x82093),f318(f318(f300(x82091),x82092),x82094)))+P1(f318(f318(f225(f927(x82091,a918)),x82093),x82094))
% 202.84/202.78 [8226]P1(f318(f318(f320(x82262),f665(x82261,x82263,x82262)),f318(f163(x82262),x82263)))+P1(f318(x82261,f318(f318(f155(x82262),x82263),x82264)))+~P1(f318(f318(f226(a920),x82264),f318(f180(f921(x82262)),x82263)))
% 202.84/202.78 [8234]~P1(f318(f318(f225(f927(x82341,a918)),x82342),x82344))+P1(f318(f318(f225(f927(x82341,a918)),x82342),x82343))+~P1(f318(f318(f225(f927(x82341,a918)),x82344),x82343))
% 202.84/202.78 [8235]~P1(f318(f318(f226(f927(x82351,a918)),x82352),x82354))+~P1(f318(f318(f225(f927(x82351,a918)),x82354),x82353))+P1(f318(f318(f226(f927(x82351,a918)),x82352),x82353))
% 202.84/202.78 [8236]~P1(f318(f318(f225(f927(x82361,a918)),x82362),x82364))+~P1(f318(f318(f226(f927(x82361,a918)),x82364),x82363))+P1(f318(f318(f226(f927(x82361,a918)),x82362),x82363))
% 202.84/202.78 [8237]~P1(f318(f318(f226(f927(x82371,a918)),x82372),x82374))+P1(f318(f318(f226(f927(x82371,a918)),x82372),x82373))+~P1(f318(f318(f226(f927(x82371,a918)),x82374),x82373))
% 202.84/202.78 [8281]~P1(f318(f318(f320(x82811),x82814),x82813))+~P1(f318(f318(f226(f927(x82811,a918)),x82812),f318(f318(f300(x82811),x82814),x82813)))+P1(f318(f318(f226(f927(x82811,a918)),x82812),x82813))
% 202.84/202.78 [8292]~P91(x82921)+P1(f318(f318(f225(x82921),x82922),x82923))+~P1(f318(f318(f225(x82921),f318(f318(f73(x82921),x82924),x82922)),f318(f318(f73(x82921),x82924),x82923)))
% 202.84/202.78 [8294]~P91(x82941)+P1(f318(f318(f225(x82941),x82942),x82943))+~P1(f318(f318(f225(x82941),f318(f318(f73(x82941),x82942),x82944)),f318(f318(f73(x82941),x82943),x82944)))
% 202.84/202.78 [8296]~P91(x82961)+P1(f318(f318(f226(x82961),x82962),x82963))+~P1(f318(f318(f226(x82961),f318(f318(f73(x82961),x82964),x82962)),f318(f318(f73(x82961),x82964),x82963)))
% 202.84/202.78 [8298]~P91(x82981)+P1(f318(f318(f226(x82981),x82982),x82983))+~P1(f318(f318(f226(x82981),f318(f318(f73(x82981),x82982),x82984)),f318(f318(f73(x82981),x82983),x82984)))
% 202.84/202.78 [8351]P1(f318(x83511,x83512))+~E(f318(f318(f129(x83513),f318(f180(f921(x83513)),f168(x83513,x83511,x83514))),x83514),f104(x83513))+~P1(f318(f318(f320(x83513),x83512),f318(f163(x83513),x83514)))
% 202.84/202.78 [8470]P1(f318(x84701,x84702))+~P1(f318(f318(f320(x84703),x84702),f318(f163(x84703),x84704)))+P1(f318(f318(f226(a920),f318(f180(f921(x84703)),f318(f127(x84703,x84701),x84704))),f318(f180(f921(x84703)),x84704)))
% 202.84/202.78 [8964]~P1(f318(x89641,f757(x89641,x89643,x89642,x89644)))+P1(f318(x89641,f318(f318(f155(x89642),x89643),x89644)))+~P1(f318(f318(f226(a920),x89644),f318(f180(f921(x89642)),x89643)))
% 202.84/202.78 [8989]~P25(x89894,x89893,x89891,f233(f927(x89894,a918)))+E(f318(x89891,f833(x89892,x89891,x89893,x89894)),x89892)+~P1(f318(f318(f320(x89893),x89892),f318(f301(x89894,x89893,x89891),f233(f927(x89894,a918)))))
% 202.84/202.78 [9057]E(f168(x90571,x90572,x90573),f318(f318(f166(x90571),x90574),x90573))+P1(f318(f318(f226(a920),f727(x90572,x90573,x90571,x90574)),x90574))+P1(f318(f318(f226(a920),x90574),f318(f180(f921(x90571)),x90573)))
% 202.84/202.78 [9060]E(f168(x90601,x90602,x90603),f318(f318(f166(x90601),x90604),x90603))+P1(f318(f318(f226(a920),f727(x90602,x90603,x90601,x90604)),x90604))+P1(f318(x90602,f318(f318(f155(x90601),x90603),x90604)))
% 202.84/202.78 [9097]P1(f318(x90971,x90972))+~P1(f318(f318(f320(x90974),x90972),f318(f163(x90974),x90973)))+P1(f318(f318(f226(a920),f704(x90972,x90971,x90973,x90974)),f318(f180(f921(x90974)),x90973)))
% 202.84/202.78 [9100]E(f168(x91001,x91002,x91003),f318(f318(f166(x91001),x91004),x91003))+P1(f318(f318(f226(a920),x91004),f318(f180(f921(x91001)),x91003)))+P1(f318(f318(f226(a920),f727(x91002,x91003,x91001,x91004)),f318(f180(f921(x91001)),x91003)))
% 202.84/202.78 [9107]E(f168(x91071,x91072,x91073),f318(f318(f166(x91071),x91074),x91073))+P1(f318(x91072,f318(f318(f155(x91071),x91073),x91074)))+P1(f318(f318(f226(a920),f727(x91072,x91073,x91071,x91074)),f318(f180(f921(x91071)),x91073)))
% 202.84/202.78 [9132]~P135(x91324)+P1(f318(f318(f320(x91321),f441(x91322,x91323,x91321,x91324)),x91323))+P1(f318(f318(f226(x91324),f2(x91324)),f318(f318(f11(x91321,x91324),x91322),x91323)))
% 202.84/202.78 [9133]~P135(x91334)+P1(f318(f318(f320(x91331),f446(x91332,x91333,x91331,x91334)),x91333))+P1(f318(f318(f225(x91334),f2(x91334)),f318(f318(f11(x91331,x91334),x91332),x91333)))
% 202.84/202.78 [9158]~P1(f318(f55(x91581),x91584))+P1(f318(f318(f320(x91581),f560(x91582,x91583,x91584,x91581)),x91584))+P1(f318(f55(f926(x91581,x91583)),f318(f318(f245(x91581,x91583),x91584),x91582)))
% 202.84/202.78 [9191]P1(f318(f318(f320(x91912),f757(x91911,x91913,x91912,x91914)),f318(f163(x91912),x91913)))+P1(f318(x91911,f318(f318(f155(x91912),x91913),x91914)))+~P1(f318(f318(f226(a920),x91914),f318(f180(f921(x91912)),x91913)))
% 202.84/202.78 [9321]P1(f318(f318(f225(a920),x93214),f318(f180(f921(x93212)),f168(x93212,x93213,x93211))))+P1(f318(f318(f226(a920),f728(x93211,x93212,x93213,x93214)),x93214))+~P1(f318(f318(f225(a920),x93214),f318(f180(f921(x93212)),x93211)))
% 202.84/202.78 [9475]E(f168(x94751,x94752,x94753),f318(f318(f166(x94751),x94754),x94753))+~P1(f318(x94752,f318(f318(f155(x94751),x94753),f727(x94752,x94753,x94751,x94754))))+P1(f318(f318(f226(a920),x94754),f318(f180(f921(x94751)),x94753)))
% 202.84/202.78 [9483]E(f168(x94831,x94832,x94833),f318(f318(f166(x94831),x94834),x94833))+~P1(f318(x94832,f318(f318(f155(x94831),x94833),f727(x94832,x94833,x94831,x94834))))+P1(f318(x94832,f318(f318(f155(x94831),x94833),x94834)))
% 202.84/202.78 [9487]~P1(f318(f55(x94871),x94873))+~P1(f318(f55(x94872),f318(x94874,f560(x94874,x94872,x94873,x94871))))+P1(f318(f55(f926(x94871,x94872)),f318(f318(f245(x94871,x94872),x94873),x94874)))
% 202.84/202.78 [9495]~P135(x94951)+~P1(f318(f318(f225(x94951),f2(x94951)),f318(x94953,f446(x94953,x94954,x94952,x94951))))+P1(f318(f318(f225(x94951),f2(x94951)),f318(f318(f11(x94952,x94951),x94953),x94954)))
% 202.84/202.78 [9496]~P135(x94961)+~P1(f318(f318(f226(x94961),f2(x94961)),f318(x94963,f441(x94963,x94964,x94962,x94961))))+P1(f318(f318(f226(x94961),f2(x94961)),f318(f318(f11(x94962,x94961),x94963),x94964)))
% 202.84/202.78 [9504]~E(f318(f180(f921(x95044)),x95042),f318(f180(f921(x95044)),x95043))+P1(f318(f318(f320(f926(f921(x95044),f921(x95044))),f318(f318(f243(f921(x95044),f921(x95044)),x95043),x95042)),f149(x95044,x95041)))+P1(f318(f318(f226(a920),f658(x95041,x95042,x95043,x95044)),f318(f180(f921(x95044)),x95043)))
% 202.84/202.78 [9557]~P1(f318(x95573,f318(f318(f155(x95572),x95574),f728(x95574,x95572,x95573,x95571))))+P1(f318(f318(f225(a920),x95571),f318(f180(f921(x95572)),f168(x95572,x95573,x95574))))+~P1(f318(f318(f225(a920),x95571),f318(f180(f921(x95572)),x95574)))
% 202.84/202.78 [9639]E(f318(f318(f166(x96391),f666(x96392,x96393,x96394,x96391)),x96393),f318(f318(f166(x96391),f666(x96392,x96393,x96394,x96391)),x96394))+~P1(f318(f318(f320(f926(f921(x96391),f921(x96391))),f318(f318(f243(f921(x96391),f921(x96391)),x96394),x96393)),f138(x96391,x96392)))+P1(f318(f318(f226(a920),f318(f180(f921(x96391)),x96394)),f318(f180(f921(x96391)),x96393)))
% 202.84/202.78 [9696]~P1(f318(f318(f226(a920),f2(a920)),x96963))+~P1(f318(f318(f226(a920),x96964),x96961))+P1(f318(f318(f226(a920),f318(f318(f73(a920),f318(f318(f74(a920),x96961),f39(a920,x96962,x96963))),x96964)),f318(f318(f74(a920),x96961),x96963)))
% 202.84/202.78 [9888]~P3(x98882)+~P1(f318(f318(f225(x98882),f318(x98883,f877(x98884,x98883,x98881,x98882))),f318(x98884,f877(x98884,x98883,x98881,x98882))))+P1(f318(f318(f225(f927(x98881,x98882)),x98883),x98884))
% 202.84/202.78 [9889]~P3(x98892)+~P1(f318(f318(f225(x98892),f318(x98893,f898(x98891,x98894,x98893,x98892))),f318(x98894,f898(x98891,x98894,x98893,x98892))))+P1(f318(f318(f225(f927(x98891,x98892)),x98893),x98894))
% 202.84/202.78 [9994]~P69(x99941)+E(f318(f318(f8(a920,x99941),f318(f318(f20(a920,x99941,x99941),f318(f318(f10(x99941,f927(x99941,x99941),a920),f3(x99941)),x99942)),f318(f318(f10(a920,x99941,a920),x99942),f318(f318(f9(a920,a920,a920),f73(a920)),f71(a920))))),f294(a920,x99943,x99944)),f318(f318(f3(x99941),f318(x99942,x99943)),f318(x99942,f318(f318(f73(a920),x99944),f71(a920)))))+~P1(f318(f318(f225(a920),x99943),x99944))
% 202.84/202.78 [10072]~P39(x100723,f318(f318(f280(x100723,x100723,x100723),x100722),f298(x100723,x100722)))+~P1(f318(f318(f320(f926(x100723,x100723)),f318(f318(f243(x100723,x100723),f318(x100721,f318(a103,f840(x100722,x100721,x100723)))),f318(x100721,f840(x100722,x100721,x100723)))),f298(x100723,x100722)))+E(f318(x100721,f318(f318(f73(a920),f839(x100722,x100721,x100723)),x100724)),f318(x100721,f839(x100722,x100721,x100723)))
% 202.84/202.78 [6923]~P70(x69231)+E(f318(f318(f30(x69231),f318(f318(f74(x69231),x69232),x69233)),x69234),f318(f318(f74(x69231),x69232),f318(f318(f30(x69231),x69233),x69234)))+~P1(f318(f318(f278(x69231),x69234),x69233))
% 202.84/202.78 [7010]E(f318(f318(f125(x70101),x70102),x70103),x70104)+~E(x70103,f318(f318(f129(x70101),f318(f180(f921(x70101)),x70102)),x70104))+~E(f318(f318(f166(x70101),f318(f180(f921(x70101)),x70102)),x70104),x70102)
% 202.84/202.78 [7068]~P75(x70682)+E(x70681,f2(x70682))+E(f318(f318(f282(x70682),f318(f318(f235(x70682),x70683),x70684)),f318(f318(f235(x70682),x70681),x70684)),f318(f318(f235(x70682),f318(f318(f282(x70682),x70683),x70681)),x70684))
% 202.84/202.78 [7212]~P70(x72121)+E(f318(f318(f30(x72121),f318(f318(f74(x72121),x72122),x72123)),x72124),f318(f318(f74(x72121),f318(f318(f30(x72121),x72122),x72124)),x72123))+~P1(f318(f318(f278(x72121),x72124),x72122))
% 202.84/202.78 [7220]~P103(x72201)+~P1(f318(f318(f225(x72201),x72203),x72204))+P1(f318(f318(f225(x72201),f318(f318(f92(x72201),x72202),x72203)),x72204))
% 202.84/202.78 [7221]~P103(x72211)+~P1(f318(f318(f225(x72211),x72212),x72214))+P1(f318(f318(f225(x72211),f318(f318(f92(x72211),x72212),x72213)),x72214))
% 202.84/202.78 [7223]~P4(x72231)+~P1(f318(f318(f225(x72231),x72233),x72234))+P1(f318(f318(f225(x72231),f318(f318(f223(x72231),x72232),x72233)),x72234))
% 202.84/202.78 [7225]~P4(x72251)+~P1(f318(f318(f225(x72251),x72252),x72254))+P1(f318(f318(f225(x72251),f318(f318(f223(x72251),x72252),x72253)),x72254))
% 202.84/202.78 [7226]~P103(x72261)+~P1(f318(f318(f226(x72261),x72263),x72264))+P1(f318(f318(f226(x72261),f318(f318(f92(x72261),x72262),x72263)),x72264))
% 202.84/202.78 [7227]~P103(x72271)+~P1(f318(f318(f226(x72271),x72272),x72274))+P1(f318(f318(f226(x72271),f318(f318(f92(x72271),x72272),x72273)),x72274))
% 202.84/202.78 [7229]~P4(x72291)+~P1(f318(f318(f226(x72291),x72293),x72294))+P1(f318(f318(f226(x72291),f318(f318(f223(x72291),x72292),x72293)),x72294))
% 202.84/202.78 [7231]~P4(x72311)+~P1(f318(f318(f226(x72311),x72312),x72314))+P1(f318(f318(f226(x72311),f318(f318(f223(x72311),x72312),x72313)),x72314))
% 202.84/202.78 [7254]~P1(f318(x72543,x72544))+~P1(f318(x72542,x72544))+P1(f318(f318(f318(f92(f927(x72541,a918)),x72542),x72543),x72544))
% 202.84/202.78 [7383]P14(x73831,x73832,x73833)+~P14(x73831,x73834,x73833)+~P1(f318(f318(f225(f927(f919(x73831),a918)),x73834),x73832))
% 202.84/202.78 [7384]P14(x73841,x73842,x73843)+~P14(x73841,x73842,x73844)+~P1(f318(f318(f225(f927(f919(x73841),a918)),x73843),x73844))
% 202.84/202.78 [7749]~P83(x77491)+E(f318(f318(f73(x77491),f318(x77492,x77493)),f318(f318(f8(a920,x77491),x77492),f318(f293(a920,f318(a103,x77493)),x77494))),f318(f318(f8(a920,x77491),x77492),f318(f293(a920,x77493),x77494)))+~P1(f318(f318(f226(a920),x77493),x77494))
% 202.84/202.78 [7767]E(x77671,x77672)+P1(f318(f318(f163(x77673),x77674),x77672))+~P1(f318(f318(f163(x77673),f318(f318(f142(x77673),x77671),x77674)),x77672))
% 202.84/202.78 [7779]~P4(x77791)+P1(f318(f318(f225(x77791),x77792),x77793))+~P1(f318(f318(f225(x77791),f318(f318(f224(x77791),x77794),x77792)),x77793))
% 202.84/202.78 [7781]~P4(x77811)+P1(f318(f318(f225(x77811),x77812),x77813))+~P1(f318(f318(f225(x77811),f318(f318(f224(x77811),x77812),x77814)),x77813))
% 202.84/202.78 [7783]~P109(x77831)+P1(f318(f318(f225(x77831),x77832),x77833))+~P1(f318(f318(f225(x77831),f318(f318(f101(x77831),x77834),x77832)),x77833))
% 202.84/202.78 [7785]~P109(x77851)+P1(f318(f318(f225(x77851),x77852),x77853))+~P1(f318(f318(f225(x77851),f318(f318(f101(x77851),x77852),x77854)),x77853))
% 202.84/202.78 [7786]~P4(x77861)+P1(f318(f318(f226(x77861),x77862),x77863))+~P1(f318(f318(f226(x77861),f318(f318(f224(x77861),x77864),x77862)),x77863))
% 202.84/202.78 [7787]~P4(x77871)+P1(f318(f318(f226(x77871),x77872),x77873))+~P1(f318(f318(f226(x77871),f318(f318(f224(x77871),x77872),x77874)),x77873))
% 202.84/202.78 [7788]~P118(x77881)+P1(f318(f318(f278(x77881),x77882),x77883))+~P1(f318(f318(f278(x77881),f318(f318(f74(x77881),x77884),x77882)),x77883))
% 202.84/202.78 [7789]~P118(x77891)+P1(f318(f318(f278(x77891),x77892),x77893))+~P1(f318(f318(f278(x77891),f318(f318(f74(x77891),x77892),x77894)),x77893))
% 202.84/202.78 [7865]~P1(f318(f318(f320(x78651),x78652),x78654))+P1(f318(f318(f320(x78651),x78652),x78653))+P1(f318(f318(f320(x78651),x78652),f318(f318(f3(f927(x78651,a918)),x78654),x78653)))
% 202.84/202.78 [7949]P1(f318(x79491,x79492))+P1(f318(x79493,x79492))+~P1(f318(f318(f318(f101(f927(x79494,a918)),x79493),x79491),x79492))
% 202.84/202.78 [7960]~P1(f318(f318(f320(x79601),x79602),x79604))+~P1(f318(f318(f320(x79601),x79602),x79603))+P1(f318(f318(f320(x79601),x79602),f318(f318(f92(f927(x79601,a918)),x79603),x79604)))
% 202.84/202.78 [8008]~P103(x80081)+~P1(f318(f55(x80081),x80084))+E(f318(f318(f58(x80081,x80081,f92(x80081)),x80082),f318(f318(f300(x80081),x80083),x80084)),f318(f318(f92(x80081),x80083),f318(f318(f58(x80081,x80081,f92(x80081)),x80082),x80084)))
% 202.84/202.78 [8009]~P109(x80091)+~P1(f318(f55(x80091),x80094))+E(f318(f318(f58(x80091,x80091,f101(x80091)),x80092),f318(f318(f300(x80091),x80093),x80094)),f318(f318(f101(x80091),x80093),f318(f318(f58(x80091,x80091,f101(x80091)),x80092),x80094)))
% 202.84/202.78 [8010]~P4(x80101)+~P1(f318(f55(x80101),x80104))+E(f318(f318(f58(x80101,x80101,f223(x80101)),x80102),f318(f318(f300(x80101),x80103),x80104)),f318(f318(f223(x80101),x80103),f318(f318(f58(x80101,x80101,f223(x80101)),x80102),x80104)))
% 202.84/202.78 [8011]~P4(x80111)+~P1(f318(f55(x80111),x80114))+E(f318(f318(f58(x80111,x80111,f224(x80111)),x80112),f318(f318(f300(x80111),x80113),x80114)),f318(f318(f224(x80111),x80113),f318(f318(f58(x80111,x80111,f224(x80111)),x80112),x80114)))
% 202.84/202.78 [8013]~P139(x80131)+~P101(x80131)+E(f318(f318(f3(x80131),f318(f318(f74(x80131),f318(f94(x80131),x80132)),x80133)),f318(f318(f74(x80131),f318(f94(x80131),x80132)),x80134)),f318(f318(f74(x80131),f318(f94(x80131),x80132)),f318(f318(f3(x80131),x80133),x80134)))
% 202.84/202.78 [8014]~P147(x80141)+~P101(x80141)+E(f318(f318(f73(x80141),f318(f318(f74(x80141),f318(f94(x80141),x80142)),x80143)),f318(f318(f74(x80141),f318(f94(x80141),x80142)),x80144)),f318(f318(f74(x80141),f318(f94(x80141),x80142)),f318(f318(f73(x80141),x80143),x80144)))
% 202.84/202.78 [8130]E(x81301,x81302)+P1(f318(f318(f320(x81303),x81301),f318(f163(x81303),x81304)))+~P1(f318(f318(f320(x81303),x81301),f318(f163(x81303),f318(f318(f142(x81303),x81302),x81304))))
% 202.84/202.78 [8304]P58(x83041,x83042,x83043)+~P58(x83041,x83042,x83044)+~P1(f318(f318(f225(f927(f926(x83041,x83042),a918)),x83043),x83044))
% 202.84/202.78 [8353]P1(f318(f318(f320(x83531),x83532),x83533))+P1(f318(f318(f320(x83531),x83532),x83534))+~P1(f318(f318(f320(x83531),x83532),f318(f318(f101(f927(x83531,a918)),x83534),x83533)))
% 202.84/202.78 [8364]~P56(x83641,x83644,x83643)+~P1(f318(f318(f320(x83641),x83642),x83644))+P1(f318(f318(f320(f926(x83641,x83641)),f318(f318(f243(x83641,x83641),x83642),x83642)),x83643))
% 202.84/202.78 [8376]~P1(f318(f55(x83762),x83764))+~P1(f318(f55(x83761),x83763))+P1(f318(f55(f926(x83761,x83762)),f318(f318(f245(x83761,x83762),x83763),f318(f18(f927(x83762,a918),x83761),x83764))))
% 202.84/202.78 [8377]~P1(f318(f318(f320(x83771),x83772),x83774))+~P1(f318(f318(f225(f927(x83771,a918)),x83773),x83774))+P1(f318(f318(f225(f927(x83771,a918)),f318(f318(f300(x83771),x83772),x83773)),x83774))
% 202.84/202.78 [8384]~P115(x83842)+~P84(x83842)+E(f318(f318(f11(x83841,x83842),f318(f318(f10(a920,x83842,x83841),f91(x83842)),x83843)),x83844),f318(f91(x83842),f318(f318(f11(x83841,a920),x83843),x83844)))
% 202.84/202.78 [8385]~P84(x83852)+~P146(x83852)+E(f318(f318(f11(x83851,x83852),f318(f318(f10(a1,x83852,x83851),f93(x83852)),x83853)),x83854),f318(f93(x83852),f318(f318(f11(x83851,a1),x83853),x83854)))
% 202.84/202.78 [8409]E(f318(f318(f3(f927(x84091,a918)),x84092),f318(f318(f3(f927(x84091,a918)),x84093),x84094)),x84094)+~P1(f318(f318(f225(f927(x84091,a918)),x84092),x84093))+~P1(f318(f318(f225(f927(x84091,a918)),x84094),x84092))
% 202.84/202.78 [8505]~P1(f318(f55(x85051),x85054))+E(f318(f318(f3(a920),f318(f318(f8(x85051,a920),x85052),x85053)),f318(f318(f8(x85051,a920),x85052),x85054)),f318(f318(f8(x85051,a920),x85052),f318(f318(f3(f927(x85051,a918)),x85053),x85054)))+~P1(f318(f318(f225(f927(x85051,a918)),x85054),x85053))
% 202.84/202.78 [8659]~P8(x86591,x86594,x86593)+~P1(f318(f318(f320(x86591),x86592),x86594))+P1(f318(f318(f320(x86591),x86592),f318(f276(x86591,x86591,x86593),f318(f318(f300(x86591),x86592),f179(f927(x86591,a918))))))
% 202.84/202.78 [8722]~P1(f318(f318(f225(f927(x87221,a918)),x87222),x87223))+~P1(f318(f318(f225(f927(x87221,a918)),x87222),x87224))+P1(f318(f318(f225(f927(x87221,a918)),x87222),f318(f318(f92(f927(x87221,a918)),x87223),x87224)))
% 202.84/202.78 [8825]E(x88251,f179(f927(x88252,a918)))+P1(f318(f55(x88253),x88254))+~P1(f318(f55(f926(x88253,x88252)),f318(f318(f245(x88253,x88252),x88254),f318(f18(f927(x88252,a918),x88253),x88251))))
% 202.84/202.78 [8826]E(x88261,f179(f927(x88262,a918)))+P1(f318(f55(x88263),x88264))+~P1(f318(f55(f926(x88262,x88263)),f318(f318(f245(x88262,x88263),x88261),f318(f18(f927(x88263,a918),x88262),x88264))))
% 202.84/202.78 [8899]P1(f318(f318(f320(x88991),x88992),f307(x88991,x88993)))+~P1(f318(f318(f320(x88991),x88994),f307(x88991,x88993)))+~P1(f318(f318(f320(f926(x88991,x88991)),f318(f318(f243(x88991,x88991),x88992),x88994)),x88993))
% 202.84/202.78 [8956]~P39(x89561,x89564)+P1(f318(f318(f320(f926(x89561,x89561)),f318(f318(f243(x89561,x89561),x89563),x89562)),f298(x89561,x89564)))+P39(x89561,f318(f318(f300(f926(x89561,x89561)),f318(f318(f243(x89561,x89561),x89562),x89563)),x89564))
% 202.84/202.78 [8957]~P61(x89571,x89574)+P1(f318(f318(f320(f926(x89571,x89571)),f318(f318(f243(x89571,x89571),x89573),x89572)),f298(x89571,x89574)))+P61(x89571,f318(f318(f300(f926(x89571,x89571)),f318(f318(f243(x89571,x89571),x89572),x89573)),x89574))
% 202.84/202.78 [9040]~E(x90402,x90403)+~P1(f318(f318(f320(x90401),x90402),f318(f163(x90401),x90404)))+P1(f318(f318(f320(f926(x90401,x90401)),f318(f318(f243(x90401,x90401),x90402),x90403)),f318(f163(f926(x90401,x90401)),f318(f318(f172(x90401,x90401),x90404),x90404))))
% 202.84/202.78 [9067]~P42(f927(x90671,a918),f927(x90671,a918),x90673)+~P1(f318(f318(f320(x90671),x90672),f87(f927(x90671,a918),x90673)))+P1(f318(f318(f320(x90671),x90672),f318(x90673,f318(f318(f101(f927(x90671,a918)),x90674),f87(f927(x90671,a918),x90673)))))
% 202.84/202.78 [9131]~E(x91313,x91314)+P1(f318(f318(f248(x91311,x91311,a918),a315),x91312))+~P1(f318(f318(f320(f926(x91311,x91311)),x91312),f318(f163(f926(x91311,x91311)),f318(f318(f172(x91311,x91311),x91313),x91314))))
% 202.84/202.78 [9175]P1(f318(f318(f320(f926(f921(x91751),f921(x91751))),f318(f318(f243(f921(x91751),f921(x91751)),x91752),x91753)),f138(x91751,x91754)))+~E(f318(f318(f166(x91751),f318(f180(f921(x91751)),x91752)),x91753),x91752)+~P1(f318(f318(f226(a920),f318(f180(f921(x91751)),x91752)),f318(f180(f921(x91751)),x91753)))
% 202.84/202.78 [9178]~P55(x91781,x91784)+~P1(f318(f318(f320(f926(x91781,x91781)),f318(f318(f243(x91781,x91781),x91783),x91782)),x91784))+P1(f318(f318(f320(f926(x91781,x91781)),f318(f318(f243(x91781,x91781),x91782),x91783)),x91784))
% 202.84/202.78 [9271]~P1(f318(f55(x92711),x92714))+P1(f318(f318(f320(x92711),f346(x92712,x92713,x92714,x92711)),x92714))+P1(f318(f55(x92713),f318(f318(f33(x92711,f927(x92713,a918)),x92714),x92712)))
% 202.84/202.78 [9272]~P1(f318(f55(x92721),x92724))+P1(f318(f318(f320(x92721),f589(x92722,x92723,x92724,x92721)),x92724))+P1(f318(f55(x92723),f318(f318(f33(x92721,f927(x92723,a918)),x92724),x92722)))
% 202.84/202.78 [9359]P1(f318(f318(f320(f926(x93591,x93591)),x93592),f318(f318(f280(x93591,x93591,x93591),x93593),f298(x93591,x93593))))+~P1(f318(f318(f226(a920),f2(a920)),x93594))+~P1(f318(f318(f320(f926(x93591,x93591)),x93592),f318(f318(f174(f926(x93591,x93591),a918),x93594),x93593)))
% 202.84/202.78 [9367]~P39(x93671,x93672)+~P1(f318(f318(f320(f926(x93671,x93671)),f318(f318(f243(x93671,x93671),x93674),x93673)),x93672))+~P1(f318(f318(f320(f926(x93671,x93671)),f318(f318(f243(x93671,x93671),x93673),x93674)),x93672))
% 202.84/202.78 [9494]~P1(f318(f55(x94941),x94944))+E(f318(f318(f8(x94941,a920),f318(f318(f10(f927(x94942,a918),a920,x94941),f29(x94942)),x94943)),x94944),f318(f29(f926(x94941,x94942)),f318(f318(f245(x94941,x94942),x94944),x94943)))+P1(f318(f318(f320(x94941),f561(x94943,x94942,x94944,x94941)),x94944))
% 202.84/202.78 [9498]~P1(f318(f128(x94981),x94982))+P1(f318(f128(x94981),f318(f318(f150(x94981,x94982),x94983),x94984)))+P1(f318(f318(f320(x94981),x94984),f318(f318(f3(f927(x94981,a918)),f318(f163(x94981),x94982)),f318(f318(f300(x94981),f318(f318(f155(x94981),x94982),x94983)),f179(f927(x94981,a918))))))
% 202.84/202.78 [9516]~P1(f318(f55(x95162),x95163))+~P1(f318(f55(x95161),f318(x95164,f346(x95164,x95161,x95163,x95162))))+P1(f318(f55(x95161),f318(f318(f33(x95162,f927(x95161,a918)),x95163),x95164)))
% 202.84/202.78 [9517]~P1(f318(f55(x95172),x95173))+~P1(f318(f55(x95171),f318(x95174,f589(x95174,x95171,x95173,x95172))))+P1(f318(f55(x95171),f318(f318(f33(x95172,f927(x95171,a918)),x95173),x95174)))
% 202.84/202.78 [9595]~P1(f318(f318(f320(f926(x95951,x95951)),x95952),f318(f318(f280(x95951,x95951,x95951),x95954),f298(x95951,x95954))))+P1(f318(f318(f320(f926(x95951,x95951)),x95952),f318(f318(f280(x95951,x95951,x95951),x95953),f298(x95951,x95953))))+~P1(f318(f318(f225(f927(f926(x95951,x95951),a918)),x95954),x95953))
% 202.84/202.78 [9605]E(f318(f318(f166(x96051),f666(x96054,x96053,x96052,x96051)),x96053),f318(f318(f166(x96051),f666(x96054,x96053,x96052,x96051)),x96052))+~P1(f318(f318(f320(f926(f921(x96051),f921(x96051))),f318(f318(f243(f921(x96051),f921(x96051)),x96052),x96053)),f138(x96051,x96054)))+E(f318(f318(f166(x96051),f318(f180(f921(x96051)),x96052)),x96053),x96052)
% 202.84/202.78 [9622]~P1(f318(f55(x96221),x96224))+E(f318(f318(f8(x96221,a920),f318(f318(f10(f927(x96222,a918),a920,x96221),f29(x96222)),x96223)),x96224),f318(f29(f926(x96221,x96222)),f318(f318(f245(x96221,x96222),x96224),x96223)))+~P1(f318(f55(x96222),f318(x96223,f561(x96223,x96222,x96224,x96221))))
% 202.84/202.78 [9626]~E(f318(f180(f921(x96261)),x96263),f318(f180(f921(x96261)),x96262))+P1(f318(f318(f320(f926(f921(x96261),f921(x96261))),f318(f318(f243(f921(x96261),f921(x96261)),x96262),x96263)),f149(x96261,x96264)))+P1(f318(f318(f320(f926(x96261,x96261)),f669(x96264,x96263,x96262,x96261)),f318(f163(f926(x96261,x96261)),f318(f318(f172(x96261,x96261),x96262),x96263))))
% 202.84/202.78 [9707]~P1(f318(f318(f320(f926(f921(x97071),f921(x97071))),f318(f318(f243(f921(x97071),f921(x97071)),x97072),x97073)),f138(x97071,x97074)))+E(f318(f318(f166(x97071),f318(f180(f921(x97071)),x97072)),x97073),x97072)+P1(f318(f318(f226(a920),f666(x97074,x97073,x97072,x97071)),f318(f318(f223(a920),f318(f180(f921(x97071)),x97072)),f318(f180(f921(x97071)),x97073))))
% 202.84/202.78 [9731]~P1(f318(f318(f320(f926(f921(x97311),f921(x97311))),f318(f318(f243(f921(x97311),f921(x97311)),x97312),x97313)),f138(x97311,x97314)))+P1(f318(f318(f226(a920),f318(f180(f921(x97311)),x97312)),f318(f180(f921(x97311)),x97313)))+P1(f318(f318(f226(a920),f666(x97314,x97313,x97312,x97311)),f318(f318(f223(a920),f318(f180(f921(x97311)),x97312)),f318(f180(f921(x97311)),x97313))))
% 202.84/202.78 [10139]~P1(f318(f318(f320(f926(f921(x101391),f921(x101391))),f318(f318(f243(f921(x101391),f921(x101391)),x101392),x101393)),f138(x101391,x101394)))+E(f318(f318(f166(x101391),f318(f180(f921(x101391)),x101392)),x101393),x101392)+P1(f318(f318(f320(f926(x101391,x101391)),f318(f318(f243(x101391,x101391),f318(f318(f155(x101391),x101392),f666(x101394,x101393,x101392,x101391))),f318(f318(f155(x101391),x101393),f666(x101394,x101393,x101392,x101391)))),x101394))
% 202.84/202.78 [10140]~P1(f318(f318(f320(f926(f921(x101401),f921(x101401))),f318(f318(f243(f921(x101401),f921(x101401)),x101402),x101403)),f138(x101401,x101404)))+P1(f318(f318(f226(a920),f318(f180(f921(x101401)),x101402)),f318(f180(f921(x101401)),x101403)))+P1(f318(f318(f320(f926(x101401,x101401)),f318(f318(f243(x101401,x101401),f318(f318(f155(x101401),x101402),f666(x101404,x101403,x101402,x101401))),f318(f318(f155(x101401),x101403),f666(x101404,x101403,x101402,x101401)))),x101404))
% 202.84/202.78 [10207]~E(f318(f180(f921(x102071)),x102072),f318(f180(f921(x102071)),x102073))+P1(f318(f318(f320(f926(f921(x102071),f921(x102071))),f318(f318(f243(f921(x102071),f921(x102071)),x102072),x102073)),f149(x102071,x102074)))+~P1(f318(f318(f320(f926(x102071,x102071)),f318(f318(f243(x102071,x102071),f318(f318(f155(x102071),x102072),f658(x102074,x102073,x102072,x102071))),f318(f318(f155(x102071),x102073),f658(x102074,x102073,x102072,x102071)))),x102074))
% 202.84/202.78 [10354]~P83(x103541)+~P1(f318(f55(x103542),x103544))+E(f318(f156(x103541),f318(f318(f145(x103542,x103541),x103543),f83(f921(x103542),f318(f318(f20(f921(x103542),a918,a918),f318(f318(f10(a918,f927(a918,a918),f921(x103542)),a316),f318(f318(f9(f921(x103542),f927(x103542,a918),a918),f318(f318(f10(f927(x103542,a918),f927(f927(x103542,a918),a918),f921(x103542)),a315),f163(x103542))),x103544))),f128(x103542))))),f222(x103542,x103541,x103543,x103544))
% 202.84/202.78 [7599]~P74(x75992)+E(x75991,f2(x75992))+E(f318(f318(f282(x75992),f318(f318(f73(x75992),x75993),f318(f318(f74(x75992),x75994),x75991))),x75991),f318(f318(f73(x75992),x75994),f318(f318(f282(x75992),x75993),x75991)))
% 202.84/202.78 [7600]~P70(x76002)+E(x76001,f2(x76002))+E(f318(f318(f30(x76002),f318(f318(f73(x76002),x76003),f318(f318(f74(x76002),x76004),x76001))),x76001),f318(f318(f73(x76002),x76004),f318(f318(f30(x76002),x76003),x76001)))
% 202.84/202.78 [7601]~P70(x76012)+E(x76011,f2(x76012))+E(f318(f318(f30(x76012),f318(f318(f73(x76012),x76013),f318(f318(f74(x76012),x76011),x76014))),x76011),f318(f318(f73(x76012),x76014),f318(f318(f30(x76012),x76013),x76011)))
% 202.84/202.78 [7828]~P75(x78282)+E(x78281,f2(x78282))+E(f318(f318(f282(x78282),f318(f318(f3(x78282),x78283),f318(f318(f74(x78282),x78281),x78284))),x78281),f318(f318(f3(x78282),f318(f318(f282(x78282),x78283),x78281)),x78284))
% 202.84/202.78 [7829]~P74(x78292)+E(x78291,f2(x78292))+E(f318(f318(f282(x78292),f318(f318(f73(x78292),x78293),f318(f318(f74(x78292),x78294),x78291))),x78291),f318(f318(f73(x78292),f318(f318(f282(x78292),x78293),x78291)),x78294))
% 202.84/202.78 [7830]~P75(x78302)+E(x78301,f2(x78302))+E(f318(f318(f282(x78302),f318(f318(f73(x78302),x78303),f318(f318(f74(x78302),x78301),x78304))),x78301),f318(f318(f73(x78302),f318(f318(f282(x78302),x78303),x78301)),x78304))
% 202.84/202.78 [8537]~P1(f318(f151(x85371,x85373),x85374))+~P1(f318(f151(x85371,x85372),x85374))+P1(f318(f151(x85371,f318(f318(f92(f927(x85371,a918)),x85372),x85373)),x85374))
% 202.84/202.78 [8914]~E(f318(f318(f280(x89141,x89141,x89141),x89142),x89144),f179(f927(f926(x89141,x89141),a918)))+~E(f318(f318(f280(x89141,x89141,x89141),x89142),x89143),f179(f927(f926(x89141,x89141),a918)))+E(f318(f318(f280(x89141,x89141,x89141),x89142),f318(f318(f101(f927(f926(x89141,x89141),a918)),x89143),x89144)),f179(f927(f926(x89141,x89141),a918)))
% 202.84/202.78 [9041]~P1(f318(f318(f225(f927(x90411,a918)),x90413),x90414))+~P1(f318(f318(f225(f927(x90411,a918)),x90412),x90414))+P1(f318(f318(f225(f927(x90411,a918)),f318(f318(f101(f927(x90411,a918)),x90412),x90413)),x90414))
% 202.84/202.78 [9422]~P1(f318(f55(x94221),x94224))+~P1(f318(f55(x94221),x94223))+E(f318(f318(f3(a920),f318(f318(f73(a920),f318(f318(f8(x94221,a920),x94222),x94223)),f318(f318(f8(x94221,a920),x94222),x94224))),f318(f318(f8(x94221,a920),x94222),f318(f318(f92(f927(x94221,a918)),x94223),x94224))),f318(f318(f8(x94221,a920),x94222),f318(f318(f101(f927(x94221,a918)),x94223),x94224)))
% 202.84/202.78 [9512]~P1(f318(f318(f320(x95121),x95123),x95122))+~P1(f318(f318(f225(f927(x95121,a918)),x95122),f318(f318(f300(x95121),x95123),x95124)))+P1(f318(f318(f225(f927(x95121,a918)),f318(f318(f3(f927(x95121,a918)),x95122),f318(f318(f300(x95121),x95123),f179(f927(x95121,a918))))),x95124))
% 202.84/202.78 [9683]~P1(f318(f318(f320(x96831),x96833),x96832))+P1(f318(f318(f225(f927(x96831,a918)),x96832),f318(f318(f300(x96831),x96833),x96834)))+~P1(f318(f318(f225(f927(x96831,a918)),f318(f318(f3(f927(x96831,a918)),x96832),f318(f318(f300(x96831),x96833),f179(f927(x96831,a918))))),x96834))
% 202.84/202.78 [9771]~P1(f318(f318(f225(a920),x97711),x97713))+~P1(f318(f318(f226(a920),x97712),x97714))+P1(f318(f318(f320(f926(f926(a920,a920),f926(a920,a920))),f318(f318(f243(f926(a920,a920),f926(a920,a920)),f318(f318(f243(a920,a920),x97711),x97712)),f318(f318(f243(a920,a920),x97713),x97714))),a26))
% 202.84/202.78 [9772]~P1(f318(f318(f225(a920),x97722),x97724))+~P1(f318(f318(f225(a920),x97721),x97723))+P1(f318(f318(f320(f926(f926(a920,a920),f926(a920,a920))),f318(f318(f243(f926(a920,a920),f926(a920,a920)),f318(f318(f243(a920,a920),x97721),x97722)),f318(f318(f243(a920,a920),x97723),x97724))),a64))
% 202.84/202.78 [10070]~P1(f318(f318(f320(f921(x100701)),x100704),f152(x100701,x100703)))+~P1(f318(f318(f320(f921(x100701)),x100704),f152(x100701,x100702)))+P1(f318(f151(x100701,f318(f318(f92(f927(x100701,a918)),f318(f318(f9(x100701,f927(x100701,a918),a918),f320(x100701)),x100702)),f318(f318(f9(x100701,f927(x100701,a918),a918),f320(x100701)),x100703))),x100704))
% 202.84/202.78 [10173]~P25(x101731,f927(f927(x101731,a918),a918),f318(f318(f9(x101731,f927(f926(x101731,x101731),a918),f927(f927(x101731,a918),a918)),f318(f318(f10(f927(x101731,a918),f927(f927(f926(x101731,x101731),a918),f927(f927(x101731,a918),a918)),x101731),f54(x101731)),f318(f318(f9(x101731,f927(x101731,a918),f927(x101731,a918)),f300(x101731)),f179(f927(x101731,a918))))),x101733),x101732)+~P1(f318(f318(f320(x101731),x101734),x101732))+E(f318(f318(f3(f927(f927(x101731,a918),a918)),f318(f318(f54(x101731),x101732),x101733)),f318(f318(f54(x101731),f318(f318(f300(x101731),x101734),f179(f927(x101731,a918)))),x101733)),f318(f318(f54(x101731),f318(f318(f3(f927(x101731,a918)),x101732),f318(f318(f300(x101731),x101734),f179(f927(x101731,a918))))),x101733))
% 202.84/202.78 [10309]~P56(x103091,x103092,x103094)+~P1(f318(f318(f320(f926(x103091,x103091)),x103093),x103094))+P1(f318(f318(f248(x103091,x103091,a918),f318(f318(f9(x103091,f927(x103091,a918),f927(x103091,a918)),f318(f318(f10(f927(a918,a918),f927(f927(x103091,a918),f927(x103091,a918)),x103091),f10(a918,a918,x103091)),f318(f318(f10(a918,f927(a918,a918),x103091),a316),f318(f318(f9(x103091,f927(x103091,a918),a918),f320(x103091)),x103092)))),f318(f318(f9(x103091,f927(x103091,a918),a918),f320(x103091)),x103092))),x103093))
% 202.84/202.78 [10322]P1(f318(f55(x103221),x103222))+~P1(f318(f55(x103223),f318(f301(x103221,x103223,x103224),x103222)))+~P1(f318(f55(x103221),f318(f253(x103221),f318(f318(f20(x103221,a918,a918),f318(f318(f10(a918,f927(a918,a918),x103221),a316),f318(f318(f9(x103221,f927(x103221,a918),a918),f320(x103221)),x103222))),f318(f318(f9(x103221,x103223,a918),f318(f318(f10(x103223,f927(x103223,a918),x103221),a315),x103224)),f318(x103224,f584(x103224,x103223,x103222,x103221)))))))
% 202.84/202.78 [8287]~P75(x82872)+E(x82871,f2(x82872))+E(f318(f318(f282(x82872),f318(f318(f3(x82872),f318(f318(f74(x82872),x82871),x82873)),x82874)),x82871),f318(f318(f3(x82872),x82873),f318(f318(f282(x82872),x82874),x82871)))
% 202.84/202.78 [8288]~P75(x82882)+E(x82881,f2(x82882))+E(f318(f318(f282(x82882),f318(f318(f73(x82882),f318(f318(f74(x82882),x82881),x82883)),x82884)),x82881),f318(f318(f73(x82882),x82883),f318(f318(f282(x82882),x82884),x82881)))
% 202.84/202.78 [9205]~E(f318(f318(f280(x92051,x92051,x92051),x92053),x92054),f179(f927(f926(x92051,x92051),a918)))+~E(f318(f318(f280(x92051,x92051,x92051),x92052),x92054),f179(f927(f926(x92051,x92051),a918)))+E(f318(f318(f280(x92051,x92051,x92051),f318(f318(f101(f927(f926(x92051,x92051),a918)),x92052),x92053)),x92054),f179(f927(f926(x92051,x92051),a918)))
% 202.84/202.78 [9983]~P1(f318(f151(x99831,x99833),x99834))+~P1(f318(f151(x99831,x99832),x99834))+P1(f318(f151(x99831,f318(f318(f20(x99831,a918,a918),f318(f318(f10(a918,f927(a918,a918),x99831),a316),x99832)),x99833)),x99834))
% 202.84/202.78 [10246]P1(f318(x102461,f565(x102462,x102463,x102461,x102464)))+~P1(f318(f55(x102464),f318(f253(x102464),x102461)))+P1(f318(f55(x102463),f318(f253(x102463),f318(f318(f10(f927(x102464,a918),a918,x102463),f80(x102464)),f318(f318(f10(f927(x102464,a918),f927(x102464,a918),x102463),f318(f20(x102464,a918,a918),f318(f318(f10(a918,f927(a918,a918),x102464),a316),x102461))),x102462)))))
% 202.84/202.78 [10264]~P1(f318(f55(x102642),f318(f253(x102642),x102643)))+~P1(f318(f55(x102641),f318(f253(x102641),f318(f318(f9(x102641,x102642,a918),x102644),f565(x102644,x102641,x102643,x102642)))))+P1(f318(f55(x102641),f318(f253(x102641),f318(f318(f10(f927(x102642,a918),a918,x102641),f80(x102642)),f318(f318(f10(f927(x102642,a918),f927(x102642,a918),x102641),f318(f20(x102642,a918,a918),f318(f318(f10(a918,f927(a918,a918),x102642),a316),x102643))),x102644)))))
% 202.84/202.78 [10333]~P1(f318(f55(x103331),x103334))+P1(f318(f318(f320(x103331),f797(x103332,x103333,x103334,x103331)),x103334))+P1(f318(f55(x103333),f318(f253(x103333),f318(f318(f10(f927(x103331,a918),a918,x103333),f80(x103331)),f318(f318(f10(f927(x103331,a918),f927(x103331,a918),x103333),f318(f20(x103331,a918,a918),f318(f318(f10(a918,f927(a918,a918),x103331),a316),f318(f318(f9(x103331,f927(x103331,a918),a918),f320(x103331)),x103334)))),x103332)))))
% 202.84/202.78 [10339]~P1(f318(f55(x103392),x103393))+~P1(f318(f55(x103391),f318(f253(x103391),f318(f318(f9(x103391,x103392,a918),x103394),f797(x103394,x103391,x103393,x103392)))))+P1(f318(f55(x103391),f318(f253(x103391),f318(f318(f10(f927(x103392,a918),a918,x103391),f80(x103392)),f318(f318(f10(f927(x103392,a918),f927(x103392,a918),x103391),f318(f20(x103392,a918,a918),f318(f318(f10(a918,f927(a918,a918),x103392),a316),f318(f318(f9(x103392,f927(x103392,a918),a918),f320(x103392)),x103393)))),x103394)))))
% 202.84/202.78 [5186]~E(x51862,x51864)+E(f160(x51861,x51862,x51863),f160(x51861,x51864,x51865))+~E(x51862,f2(a920))
% 202.84/202.78 [5440]E(x54401,x54402)+~E(f160(x54404,x54403,x54401),f160(x54404,x54405,x54402))+E(x54403,f2(a920))
% 202.84/202.78 [6719]E(x67191,x67192)+~E(f318(x67193,x67191),f318(x67193,x67192))+~P25(x67194,x67195,x67193,f233(f927(x67194,a918)))
% 202.84/202.78 [7631]E(x76311,x76312)+~P25(x76313,x76314,x76315,f233(f927(x76313,a918)))+~E(f318(f301(x76313,x76314,x76315),x76311),f318(f301(x76313,x76314,x76315),x76312))
% 202.84/202.78 [7883]P25(x78832,x78833,f869(x78834,x78833,x78832,x78831),x78831)+~E(f318(f301(x78833,x78832,x78835),x78834),x78831)+E(x78831,f179(f927(x78832,a918)))
% 202.84/202.78 [8420]~P1(f318(f318(x84203,x84202),x84205))+~P1(f318(f318(x84203,x84204),x84202))+P1(f318(f318(f320(x84201),x84202),f281(x84201,x84203,x84204,x84205)))
% 202.84/202.78 [8421]~P1(f318(f318(x84213,x84212),x84215))+~P1(f318(f318(x84213,x84214),x84212))+P1(f318(f318(f320(x84211),x84212),f290(x84211,x84213,x84214,x84215)))
% 202.84/202.78 [8730]~P25(x87301,x87302,x87303,x87304)+P26(x87301,x87302,x87303,x87304,x87305)+~E(f318(f301(x87301,x87302,x87303),x87304),x87305)
% 202.84/202.78 [8864]~P26(x88641,x88643,x88644,x88642,x88645)+~P1(f318(f55(x88643),x88645))+P1(f318(f55(x88641),x88642))
% 202.84/202.78 [8865]~P26(x88653,x88651,x88654,x88655,x88652)+~P1(f318(f55(x88653),x88655))+P1(f318(f55(x88651),x88652))
% 202.84/202.78 [8998]~P25(x89981,x89983,x89985,f233(f927(x89981,a918)))+~P25(x89983,x89982,x89984,f233(f927(x89983,a918)))+P25(x89981,x89982,f318(f66(x89983,x89982,x89981,x89984),x89985),f233(f927(x89981,a918)))
% 202.84/202.78 [9572]P1(f318(f318(f320(f926(x95721,x95721)),f318(f318(f243(x95721,x95721),x95722),x95723)),f298(x95721,x95724)))+~P1(f318(f318(f320(f926(x95721,x95721)),f318(f318(f243(x95721,x95721),x95722),x95725)),f298(x95721,x95724)))+~P1(f318(f318(f320(f926(x95721,x95721)),f318(f318(f243(x95721,x95721),x95725),x95723)),f298(x95721,x95724)))
% 202.84/202.78 [9612]~P4(x96122)+~P1(f318(f128(x96121),x96125))+P1(f318(f128(x96121),f140(x96121,x96122,x96123,x96124,x96125)))
% 202.84/202.78 [5515]~E(x55152,f104(x55151))+E(f318(f318(f125(x55151),x55152),x55153),f318(f318(f142(x55151),x55154),x55155))+~E(x55153,f318(f318(f142(x55151),x55154),x55155))
% 202.84/202.78 [5516]~E(x55162,f104(x55161))+E(f318(f318(f125(x55161),x55162),x55163),f318(f318(f142(x55161),x55164),x55165))+~E(f318(f318(f142(x55161),x55164),x55165),x55163)
% 202.84/202.78 [6675]~E(f318(f180(f921(x66751)),x66755),f318(f180(f921(x66752)),x66754))+E(f318(f318(f145(f926(x66751,x66752),x66752),f247(x66751,x66752)),x66753),x66754)+~E(f318(f318(f172(x66751,x66752),x66755),x66754),x66753)
% 202.84/202.78 [6676]~E(f318(f180(f921(x66761)),x66764),f318(f180(f921(x66762)),x66765))+E(f318(f318(f145(f926(x66761,x66762),x66761),f242(x66761,x66762)),x66763),x66764)+~E(f318(f318(f172(x66761,x66762),x66764),x66765),x66763)
% 202.84/202.78 [7164]~P4(x71641)+~P13(x71641,f318(f318(f145(x71642,x71641),x71643),x71645))+P13(x71641,f318(f318(f145(x71642,x71641),x71643),f318(f127(x71642,x71644),x71645)))
% 202.84/202.78 [7308]~P4(x73081)+P13(x73081,f318(f318(f145(x73082,x73081),x73083),f161(x73082,x73084,x73085)))+~P13(x73081,f318(f318(f145(x73082,x73081),x73083),x73085))
% 202.84/202.78 [7332]~P58(x73323,x73322,x73325)+~P58(x73321,x73323,x73324)+P58(x73321,x73322,f318(f318(f280(x73321,x73323,x73322),x73324),x73325))
% 202.84/202.78 [7431]E(x74311,x74312)+~P25(x74313,x74314,x74315,f233(f927(x74313,a918)))+~E(f318(f318(f145(x74313,x74314),x74315),x74311),f318(f318(f145(x74313,x74314),x74315),x74312))
% 202.84/202.78 [7586]~P1(f318(f318(f225(a920),x75861),f318(x75863,x75865)))+P1(f318(f318(f225(a920),x75861),f146(x75862,x75863,x75864)))+~P1(f318(f318(f320(x75862),x75865),f318(f163(x75862),x75864)))
% 202.84/202.78 [7587]~P1(f318(f318(f226(a920),x75871),f318(x75873,x75875)))+P1(f318(f318(f226(a920),x75871),f146(x75872,x75873,x75874)))+~P1(f318(f318(f320(x75872),x75875),f318(f163(x75872),x75874)))
% 202.84/202.78 [7979]P1(f318(x79791,x79792))+~P1(f318(x79791,x79793))+~P1(f318(f318(f320(x79794),x79792),f318(f163(x79794),f160(x79794,x79795,x79793))))
% 202.84/202.78 [7980]P1(f318(x79801,x79802))+~P1(f318(x79801,x79803))+~P1(f318(f318(f320(x79804),x79803),f318(f163(x79804),f160(x79804,x79805,x79802))))
% 202.84/202.78 [7984]~P113(x79841)+P1(f318(f318(f225(f927(x79841,a918)),f294(x79841,x79842,x79843)),f294(x79841,x79844,x79845)))+P1(f318(f318(f225(x79841),x79842),x79843))
% 202.84/202.78 [8006]~P5(x80061)+P1(f318(f318(f225(x80061),f318(f318(f34(x80062,x80061),x80063),x80064)),f318(x80064,x80065)))+~P1(f318(f318(f320(x80062),x80065),x80063))
% 202.84/202.78 [8076]~P25(x80761,x80762,x80764,x80763)+E(f318(f70(x80761,x80762,x80763,x80764),f318(x80764,x80765)),x80765)+~P1(f318(f318(f320(x80761),x80765),x80763))
% 202.84/202.78 [8077]~P25(x80771,x80772,x80774,x80773)+E(f318(f84(x80771,x80772,x80773,x80774),f318(x80774,x80775)),x80775)+~P1(f318(f318(f320(x80771),x80775),x80773))
% 202.84/202.78 [8276]~P1(f318(x82761,x82765))+P1(f318(x82761,f448(x82761,x82762,x82763,x82764)))+~P1(f318(f318(f320(x82764),x82765),x82763))
% 202.84/202.78 [8277]~P1(f318(x82771,x82775))+P1(f318(x82771,f448(x82771,x82772,x82773,x82774)))+~P1(f318(f318(f320(x82774),x82775),x82772))
% 202.84/202.78 [8374]P1(f318(f55(x83741),x83742))+~P1(f318(f55(x83743),x83744))+~P1(f318(f318(f225(f927(x83741,a918)),x83742),f318(f301(x83743,x83741,x83745),x83744)))
% 202.84/202.78 [8541]E(x85411,x85412)+~P25(x85413,x85414,x85415,f318(f318(f101(f927(x85413,a918)),f318(f163(x85413),x85411)),f318(f163(x85413),x85412)))+~E(f318(f318(f145(x85413,x85414),x85415),x85411),f318(f318(f145(x85413,x85414),x85415),x85412))
% 202.84/202.78 [8595]~P113(x85951)+~P1(f318(f318(f226(f927(x85951,a918)),f294(x85951,x85954,x85955)),f294(x85951,x85952,x85953)))+P1(f318(f318(f225(x85951),x85952),x85953))
% 202.84/202.78 [8658]~P25(x86581,x86584,x86585,f233(f927(x86581,a918)))+~P1(f318(f318(f320(x86584),f318(x86585,x86582)),f318(f301(x86581,x86584,x86585),x86583)))+P1(f318(f318(f320(x86581),x86582),x86583))
% 202.84/202.78 [8736]P1(f318(x87361,x87362))+~P1(f318(x87361,f389(x87361,x87363,x87364,x87365)))+~P1(f318(f318(f320(x87365),x87362),x87364))
% 202.84/202.78 [8737]P1(f318(x87371,x87372))+~P1(f318(x87371,f389(x87371,x87373,x87374,x87375)))+~P1(f318(f318(f320(x87375),x87372),x87373))
% 202.84/202.78 [9038]~P25(x90382,x90383,x90381,x90384)+E(f318(x90381,f318(f70(x90382,x90383,x90384,x90381),x90385)),x90385)+~P1(f318(f318(f320(x90383),x90385),f318(f301(x90382,x90383,x90381),x90384)))
% 202.84/202.78 [9144]E(x91441,f104(x91442))+E(f318(f318(f142(x91442),x91443),f681(x91444,x91443,x91445,x91441,x91442)),x91441)+~E(f318(f318(f125(x91442),x91441),x91445),f318(f318(f142(x91442),x91443),x91444))
% 202.84/202.78 [9145]E(x91451,f104(x91452))+E(f318(f318(f142(x91452),x91453),f682(x91454,x91451,x91455,x91453,x91452)),x91451)+~E(f318(f318(f125(x91452),x91451),x91454),f318(f318(f142(x91452),x91453),x91455))
% 202.84/202.78 [9163]E(f318(f318(f142(x91632),x91633),f681(x91634,x91633,x91631,x91635,x91632)),x91635)+~E(f318(f318(f125(x91632),x91635),x91631),f318(f318(f142(x91632),x91633),x91634))+E(x91631,f318(f318(f142(x91632),x91633),x91634))
% 202.84/202.78 [9164]E(f318(f318(f142(x91641),x91642),f682(x91644,x91645,x91643,x91642,x91641)),x91645)+~E(f318(f318(f125(x91641),x91645),x91644),f318(f318(f142(x91641),x91642),x91643))+E(f318(f318(f142(x91641),x91642),x91643),x91644)
% 202.84/202.78 [9242]~E(f318(f301(x92423,x92422,x92424),f233(f927(x92423,a918))),f233(f927(x92422,a918)))+~E(f318(f301(x92421,x92423,x92425),f233(f927(x92421,a918))),f233(f927(x92423,a918)))+E(f318(f301(x92421,x92422,f318(f66(x92423,x92422,x92421,x92424),x92425)),f233(f927(x92421,a918))),f233(f927(x92422,a918)))
% 202.84/202.78 [9619]E(x96191,f104(x96192))+~E(f318(f318(f125(x96192),x96191),x96193),f318(f318(f142(x96192),x96195),x96194))+E(f318(f318(f125(x96192),f682(x96193,x96191,x96194,x96195,x96192)),x96193),x96194)
% 202.84/202.78 [9620]E(x96201,f104(x96202))+~E(f318(f318(f125(x96202),x96201),x96205),f318(f318(f142(x96202),x96204),x96203))+E(f318(f318(f125(x96202),f681(x96203,x96204,x96205,x96201,x96202)),x96205),x96203)
% 202.84/202.78 [9627]E(f318(f318(f125(x96272),f681(x96274,x96273,x96271,x96275,x96272)),x96271),x96274)+~E(f318(f318(f125(x96272),x96275),x96271),f318(f318(f142(x96272),x96273),x96274))+E(x96271,f318(f318(f142(x96272),x96273),x96274))
% 202.84/202.78 [9628]~E(f318(f318(f125(x96281),x96285),x96284),f318(f318(f142(x96281),x96282),x96283))+E(f318(f318(f125(x96281),f682(x96284,x96285,x96283,x96282,x96281)),x96284),x96283)+E(f318(f318(f142(x96281),x96282),x96283),x96284)
% 202.84/202.78 [9629]E(f318(f318(f125(x96291),x96295),f684(x96293,x96292,x96294,x96295,x96291)),x96292)+E(f318(f318(f125(x96291),x96292),f683(x96293,x96292,x96294,x96295,x96291)),x96295)+~E(f318(f318(f125(x96291),x96295),x96294),f318(f318(f125(x96291),x96292),x96293))
% 202.84/202.78 [9666]~P4(x96661)+P13(x96661,f318(f318(f145(x96662,x96661),x96663),f140(x96662,x96661,x96663,x96664,x96665)))+~P13(x96661,f318(f318(f145(x96662,x96661),x96663),x96665))
% 202.84/202.78 [9680]~P62(x96805,x96801,x96804,x96803)+P1(f318(f318(x96801,x96802),f545(x96803,x96804,x96801,x96805,x96802)))+~P1(f318(f318(f320(x96805),x96802),x96804))
% 202.84/202.78 [9681]~P62(x96815,x96811,x96814,x96813)+P1(f318(f318(x96811,x96812),f803(x96813,x96814,x96811,x96815,x96812)))+~P1(f318(f318(f320(x96815),x96812),x96814))
% 202.84/202.78 [9783]~P1(f318(f318(f320(f926(x97831,x97831)),f318(f318(f243(x97831,x97831),x97835),x97833)),f298(x97831,x97834)))+P1(f318(f318(f320(f926(x97831,x97831)),f318(f318(f243(x97831,x97831),x97832),x97833)),f318(f318(f280(x97831,x97831,x97831),x97834),f298(x97831,x97834))))+~P1(f318(f318(f320(f926(x97831,x97831)),f318(f318(f243(x97831,x97831),x97832),x97835)),f318(f318(f280(x97831,x97831,x97831),x97834),f298(x97831,x97834))))
% 202.84/202.78 [9784]~P1(f318(f318(f320(f926(x97841,x97841)),f318(f318(f243(x97841,x97841),x97842),x97845)),f298(x97841,x97844)))+P1(f318(f318(f320(f926(x97841,x97841)),f318(f318(f243(x97841,x97841),x97842),x97843)),f318(f318(f280(x97841,x97841,x97841),x97844),f298(x97841,x97844))))+~P1(f318(f318(f320(f926(x97841,x97841)),f318(f318(f243(x97841,x97841),x97845),x97843)),f318(f318(f280(x97841,x97841,x97841),x97844),f298(x97841,x97844))))
% 202.84/202.78 [9786]P1(f318(f318(f320(f926(f921(x97861),f921(x97861))),f318(f318(f243(f921(x97861),f921(x97861)),x97862),x97863)),f149(x97861,f298(x97861,x97864))))+~P1(f318(f318(f320(f926(f921(x97861),f921(x97861))),f318(f318(f243(f921(x97861),f921(x97861)),x97862),x97865)),f149(x97861,f298(x97861,x97864))))+~P1(f318(f318(f320(f926(f921(x97861),f921(x97861))),f318(f318(f243(f921(x97861),f921(x97861)),x97865),x97863)),f149(x97861,f298(x97861,x97864))))
% 202.84/202.78 [9790]E(f318(f318(f125(x97901),x97902),f683(x97903,x97902,x97904,x97905,x97901)),x97905)+E(f318(f318(f125(x97901),f684(x97903,x97902,x97904,x97905,x97901)),x97903),x97904)+~E(f318(f318(f125(x97901),x97902),x97903),f318(f318(f125(x97901),x97905),x97904))
% 202.84/202.78 [9791]E(f318(f318(f125(x97911),x97912),f684(x97913,x97914,x97915,x97912,x97911)),x97914)+E(f318(f318(f125(x97911),f683(x97913,x97914,x97915,x97912,x97911)),x97915),x97913)+~E(f318(f318(f125(x97911),x97912),x97915),f318(f318(f125(x97911),x97914),x97913))
% 202.84/202.78 [9846]P1(f318(f318(f320(f926(x98461,x98461)),f318(f318(f243(x98461,x98461),x98462),x98463)),f318(f318(f280(x98461,x98461,x98461),x98464),f298(x98461,x98464))))+~P1(f318(f318(f320(f926(x98461,x98461)),f318(f318(f243(x98461,x98461),x98462),x98465)),f318(f318(f280(x98461,x98461,x98461),x98464),f298(x98461,x98464))))+~P1(f318(f318(f320(f926(x98461,x98461)),f318(f318(f243(x98461,x98461),x98465),x98463)),f318(f318(f280(x98461,x98461,x98461),x98464),f298(x98461,x98464))))
% 202.84/202.78 [9873]P36(x98731,x98732,x98733,x98734,x98735)+~E(f318(f180(f921(x98731)),x98734),f318(f180(f921(x98732)),x98735))+~P1(f318(f318(f248(x98731,x98732,a918),x98733),f699(x98735,x98734,x98733,x98732,x98731)))
% 202.84/202.78 [9874]P36(x98741,x98742,x98743,x98744,x98745)+~E(f318(f180(f921(x98741)),x98744),f318(f180(f921(x98742)),x98745))+~P1(f318(f318(f248(x98741,x98742,a918),x98743),f705(x98743,x98745,x98744,x98742,x98741)))
% 202.84/202.78 [9879]E(f318(f318(f125(x98791),f683(x98792,x98793,x98794,x98795,x98791)),x98794),x98792)+~E(f318(f318(f125(x98791),x98793),x98792),f318(f318(f125(x98791),x98795),x98794))+E(f318(f318(f125(x98791),f684(x98792,x98793,x98794,x98795,x98791)),x98792),x98794)
% 202.84/202.78 [9895]~P4(x98952)+E(f318(f318(f139(x98951,x98952,x98953),x98954),x98955),f318(f318(f142(x98951),x98954),x98955))+P1(f318(f318(f320(x98951),f747(x98954,x98953,x98955,x98951,x98952)),f318(f163(x98951),x98955)))
% 202.84/202.78 [9899]~P62(x98991,x98994,x98993,x98992)+~P1(f318(f318(f320(x98991),x98995),x98993))+P1(f318(f318(f320(x98991),f545(x98992,x98993,x98994,x98991,x98995)),x98992))
% 202.84/202.78 [9900]~P62(x99001,x99004,x99003,x99002)+~P1(f318(f318(f320(x99001),x99005),x99003))+P1(f318(f318(f320(x99001),f803(x99002,x99003,x99004,x99001,x99005)),x99002))
% 202.84/202.78 [10020]~P1(f318(f318(f320(f926(f927(x100201,a918),f927(x100201,a918))),f318(f318(f243(f927(x100201,a918),f927(x100201,a918)),x100204),x100203)),f310(x100201,x100202)))+~P1(f318(f318(f320(x100201),x100205),x100204))+P1(f318(f318(f320(x100201),f610(x100202,x100203,x100204,x100201,x100205)),x100203))
% 202.84/202.78 [10030]~P4(x100302)+E(f318(f318(f139(x100301,x100302,x100303),x100304),x100305),f318(f318(f142(x100301),x100304),x100305))+~P1(f318(f318(f225(x100302),f318(x100303,x100304)),f318(x100303,f747(x100304,x100303,x100305,x100301,x100302))))
% 202.84/202.78 [10079]~P25(x100793,x100794,x100795,f233(f927(x100793,a918)))+P1(f318(x100791,x100792))+~P1(f318(x100791,f318(f84(x100793,x100794,f233(f927(x100793,a918)),x100795),f816(x100792,x100791,x100795,x100794,x100793))))
% 202.84/202.78 [10224]P36(x102241,x102242,x102243,x102244,x102245)+~E(f318(f180(f921(x102241)),x102244),f318(f180(f921(x102242)),x102245))+~P1(f318(f318(x102243,f318(f318(f155(x102241),x102244),f706(x102245,x102244,x102243,x102242,x102241))),f318(f318(f155(x102242),x102245),f706(x102245,x102244,x102243,x102242,x102241))))
% 202.84/202.78 [10225]P36(x102251,x102252,x102253,x102254,x102255)+~E(f318(f180(f921(x102251)),x102254),f318(f180(f921(x102252)),x102255))+~P1(f318(f318(x102253,f318(f318(f155(x102251),x102254),f740(x102253,x102255,x102252,x102254,x102251))),f318(f318(f155(x102252),x102255),f740(x102253,x102255,x102252,x102254,x102251))))
% 202.84/202.78 [6749]~P18(x67492,x67495,x67491)+~P1(f318(f55(x67492),x67494))+E(f318(x67491,f318(f318(f300(x67492),x67493),x67494)),f318(f318(f58(x67492,x67492,x67495),x67493),x67494))
% 202.84/202.78 [6750]~E(x67503,x67504)+~E(x67502,x67505)+E(f318(f318(f300(x67501),x67502),f318(f318(f300(x67501),x67503),f179(f927(x67501,a918)))),f318(f318(f300(x67501),x67504),f318(f318(f300(x67501),x67505),f179(f927(x67501,a918)))))
% 202.84/202.78 [6760]P1(f318(x67602,x67605))+E(f168(x67601,x67602,f318(f318(f125(x67601),x67603),x67604)),f168(x67601,x67602,x67603))+~P1(f318(f318(f320(x67601),x67605),f318(f163(x67601),x67603)))
% 202.84/202.78 [6802]E(f318(x68021,x68022),f233(f927(x68023,a918)))+~E(f318(f318(f34(x68024,f927(x68023,a918)),x68025),x68021),f233(f927(x68023,a918)))+~P1(f318(f318(f320(x68024),x68022),x68025))
% 202.84/202.78 [6803]E(f318(x68031,x68032),f179(f927(x68033,a918)))+~E(f318(f318(f33(x68034,f927(x68033,a918)),x68035),x68031),f179(f927(x68033,a918)))+~P1(f318(f318(f320(x68034),x68032),x68035))
% 202.84/202.78 [7318]~E(x73182,x73184)+~P149(x73181)+E(f318(f318(f73(x73181),f318(f318(f74(x73181),x73182),x73183)),f318(f318(f74(x73181),x73184),x73185)),f318(f318(f73(x73181),f318(f318(f74(x73181),x73182),x73185)),f318(f318(f74(x73181),x73184),x73183)))
% 202.84/202.78 [7381]~P5(x73811)+~P1(f318(f318(f320(x73814),x73813),x73815))+P1(f318(f318(f225(x73811),f318(x73812,x73813)),f318(f318(f33(x73814,x73811),x73815),x73812)))
% 202.84/202.78 [7436]~P3(x74361)+P1(f318(f318(f225(x74361),f318(x74362,x74363)),f318(x74364,x74363)))+~P1(f318(f318(f225(f927(x74365,x74361)),x74362),x74364))
% 202.84/202.78 [7556]E(x75561,x75562)+E(x75563,x75561)+~E(f318(f318(f300(x75564),x75561),f318(f318(f300(x75564),x75565),f179(f927(x75564,a918)))),f318(f318(f300(x75564),x75562),f318(f318(f300(x75564),x75563),f179(f927(x75564,a918)))))
% 202.84/202.78 [7557]E(x75571,x75572)+E(x75573,x75571)+~E(f318(f318(f300(x75574),x75573),f318(f318(f300(x75574),x75572),f179(f927(x75574,a918)))),f318(f318(f300(x75574),x75575),f318(f318(f300(x75574),x75571),f179(f927(x75574,a918)))))
% 202.84/202.78 [7558]E(x75581,x75582)+E(x75581,x75583)+~E(f318(f318(f300(x75584),x75583),f318(f318(f300(x75584),x75582),f179(f927(x75584,a918)))),f318(f318(f300(x75584),x75585),f318(f318(f300(x75584),x75581),f179(f927(x75584,a918)))))
% 202.84/202.78 [7559]E(x75591,x75592)+E(x75591,x75593)+~E(f318(f318(f300(x75594),x75591),f318(f318(f300(x75594),x75595),f179(f927(x75594,a918)))),f318(f318(f300(x75594),x75592),f318(f318(f300(x75594),x75593),f179(f927(x75594,a918)))))
% 202.84/202.78 [8086]P25(x80861,x80862,x80863,x80864)+~P25(x80861,x80862,x80863,x80865)+~P1(f318(f318(f225(f927(x80861,a918)),x80864),x80865))
% 202.84/202.78 [8116]~E(f318(x81163,x81165),x81164)+~P25(x81161,x81162,x81163,f233(f927(x81161,a918)))+E(f318(f84(x81161,x81162,f233(f927(x81161,a918)),x81163),x81164),x81165)
% 202.84/202.78 [8264]E(x82641,x82642)+~E(f318(f301(x82643,x82644,x82645),x82641),f318(f301(x82643,x82644,x82645),x82642))+~P25(x82643,x82644,x82645,f318(f318(f101(f927(x82643,a918)),x82641),x82642))
% 202.84/202.78 [8342]P1(f318(x83422,x83424))+E(f318(f318(f129(x83421),f318(f180(f921(x83421)),f168(x83421,x83422,x83423))),x83423),f318(f318(f142(x83421),x83424),x83425))+~E(f318(f318(f125(x83421),f168(x83421,x83422,x83423)),f318(f318(f142(x83421),x83424),x83425)),x83423)
% 202.84/202.78 [8372]~P25(x83721,x83722,x83723,x83725)+~P25(x83721,x83722,x83723,x83724)+P25(x83721,x83722,x83723,f318(f318(f92(f927(x83721,a918)),x83724),x83725))
% 202.84/202.78 [8479]~P83(x84791)+E(f318(f318(f73(x84791),f318(x84792,x84793)),f318(f156(x84791),f318(f318(f145(x84794,x84791),x84792),f161(x84794,x84793,x84795)))),f318(f156(x84791),f318(f318(f145(x84794,x84791),x84792),x84795)))+~P1(f318(f318(f320(x84794),x84793),f318(f163(x84794),x84795)))
% 202.84/202.78 [8567]~P4(x85671)+~P13(x85671,f318(f318(f145(x85672,x85671),x85673),x85675))+P13(x85671,f318(f318(f145(x85672,x85671),x85673),f318(f318(f139(x85672,x85671,x85673),x85674),x85675)))
% 202.84/202.78 [8654]~P5(x86541)+P1(f318(f318(f225(x86541),f318(f318(f33(x86542,x86541),x86543),x86544)),f318(f318(f33(x86542,x86541),x86545),x86544)))+~P1(f318(f318(f225(f927(x86542,a918)),x86543),x86545))
% 202.84/202.78 [8655]~P5(x86551)+P1(f318(f318(f225(x86551),f318(f318(f34(x86552,x86551),x86553),x86554)),f318(f318(f34(x86552,x86551),x86555),x86554)))+~P1(f318(f318(f225(f927(x86552,a918)),x86555),x86553))
% 202.84/202.78 [8691]~P4(x86913)+P1(f318(f128(x86911),x86912))+~P1(f318(f128(x86911),f318(f318(f139(x86911,x86913,x86914),x86915),x86912)))
% 202.84/202.78 [8836]~P4(x88361)+~P1(f318(f318(f320(x88362),x88363),f318(f163(x88362),x88364)))+~P1(f318(f128(x88362),f318(f318(f139(x88362,x88361,x88365),x88363),x88364)))
% 202.84/202.78 [8926]~P4(x89261)+P13(x89261,f318(f318(f145(x89262,x89261),x89263),x89264))+~P13(x89261,f318(f318(f145(x89262,x89261),x89263),f318(f318(f139(x89262,x89261,x89263),x89265),x89264)))
% 202.84/202.78 [8973]~P25(x89732,x89731,x89734,x89733)+E(f318(f301(x89731,x89732,f84(x89732,x89731,x89733,x89734)),f318(f301(x89732,x89731,x89734),x89735)),x89735)+~P1(f318(f318(f225(f927(x89732,a918)),x89735),x89733))
% 202.84/202.78 [9026]~P4(x90262)+E(f318(f318(f139(x90261,x90262,x90263),x90264),x90265),f140(x90261,x90262,x90263,x90264,x90265))+P1(f318(f318(f320(x90262),f318(x90263,x90264)),f318(f301(x90261,x90262,x90263),f318(f163(x90261),x90265))))
% 202.84/202.78 [9110]~P4(x91102)+E(f140(x91101,x91102,x91103,x91104,x91105),x91105)+~P1(f318(f318(f320(x91102),f318(x91103,x91104)),f318(f301(x91101,x91102,x91103),f318(f163(x91101),x91105))))
% 202.84/202.78 [9124]~P25(x91242,x91241,x91243,x91245)+P1(f318(f318(f226(f927(x91241,a918)),f318(f301(x91242,x91241,x91243),x91244)),f318(f301(x91242,x91241,x91243),x91245)))+~P1(f318(f318(f226(f927(x91242,a918)),x91244),x91245))
% 202.84/202.78 [9283]~P25(x92831,x92832,x92833,f233(f927(x92831,a918)))+~P1(f318(f318(f225(f927(x92832,a918)),x92834),f318(f301(x92831,x92832,x92833),x92835)))+P1(f318(f318(f225(f927(x92831,a918)),f318(f302(x92831,x92832,x92833),x92834)),x92835))
% 202.84/202.78 [9306]~E(f318(f301(x93063,x93061,x93064),f233(f927(x93063,a918))),f233(f927(x93061,a918)))+P1(f318(f318(f225(f927(x93061,a918)),x93062),f318(f301(x93063,x93061,x93064),x93065)))+~P1(f318(f318(f225(f927(x93063,a918)),f318(f302(x93063,x93061,x93064),x93062)),x93065))
% 202.84/202.78 [9415]~P25(x94151,x94154,x94155,f233(f927(x94151,a918)))+~P1(f318(f318(f225(f927(x94154,a918)),f318(f301(x94151,x94154,x94155),x94152)),f318(f301(x94151,x94154,x94155),x94153)))+P1(f318(f318(f225(f927(x94151,a918)),x94152),x94153))
% 202.84/202.78 [9540]~P89(x95401)+~E(f318(x95403,f724(x95403,x95404,x95405,x95402,x95401)),f2(x95401))+E(f318(f156(x95401),f318(f318(f145(x95402,x95401),x95403),f318(f127(x95402,x95404),x95405))),f318(f156(x95401),f318(f318(f145(x95402,x95401),x95403),x95405)))
% 202.84/202.78 [9567]~P26(x95671,x95672,x95673,f233(f927(x95671,a918)),f233(f927(x95672,a918)))+~P1(f318(f318(f225(f927(x95672,a918)),x95674),f318(f301(x95671,x95672,x95673),x95675)))+P1(f318(f318(f225(f927(x95671,a918)),f318(f302(x95671,x95672,x95673),x95674)),x95675))
% 202.84/202.78 [9596]~P26(x95963,x95961,x95964,f233(f927(x95963,a918)),f233(f927(x95961,a918)))+P1(f318(f318(f225(f927(x95961,a918)),x95962),f318(f301(x95963,x95961,x95964),x95965)))+~P1(f318(f318(f225(f927(x95963,a918)),f318(f302(x95963,x95961,x95964),x95962)),x95965))
% 202.84/202.78 [9724]~P17(x97241,x97242,x97243)+~P1(f318(f55(x97241),x97245))+P1(f318(f60(x97241,x97242,x97243,x97244,x97245),f318(f318(f58(x97241,x97242,x97243),x97244),x97245)))
% 202.84/202.78 [9803]~P26(x98032,x98031,x98034,f233(f927(x98032,a918)),f233(f927(x98031,a918)))+~P26(x98031,x98033,x98035,f233(f927(x98031,a918)),f233(f927(x98033,a918)))+E(f318(f66(x98031,x98032,x98033,f84(x98032,x98031,f233(f927(x98032,a918)),x98034)),f84(x98031,x98033,f233(f927(x98031,a918)),x98035)),f84(x98032,x98033,f233(f927(x98032,a918)),f318(f66(x98031,x98033,x98032,x98035),x98034)))
% 202.84/202.78 [9804]P1(f318(x98041,f649(x98042,x98041,x98043,x98044,x98045)))+~P1(f318(f318(f225(f927(x98045,a918)),x98044),x98043))+P1(f318(f318(f225(f927(x98045,a918)),f318(f318(f92(f927(x98045,a918)),x98044),f318(f253(x98045),x98041))),f318(f318(f92(f927(x98045,a918)),x98043),f318(f253(x98045),x98042))))
% 202.84/202.78 [9819]~P89(x98191)+~P1(f318(x98194,f724(x98193,x98194,x98195,x98192,x98191)))+E(f318(f156(x98191),f318(f318(f145(x98192,x98191),x98193),f318(f127(x98192,x98194),x98195))),f318(f156(x98191),f318(f318(f145(x98192,x98191),x98193),x98195)))
% 202.84/202.78 [9897]~P5(x98975)+P1(f318(f318(f320(x98971),f482(x98972,x98973,x98971,x98974,x98975)),x98973))+P1(f318(f318(f225(x98975),x98974),f318(f318(f34(x98971,x98975),x98973),x98972)))
% 202.84/202.78 [9901]~P89(x99011)+E(f318(f156(x99011),f318(f318(f145(x99012,x99011),x99013),f318(f127(x99012,x99014),x99015))),f318(f156(x99011),f318(f318(f145(x99012,x99011),x99013),x99015)))+P1(f318(f318(f320(x99012),f724(x99013,x99014,x99015,x99012,x99011)),f318(f163(x99012),x99015)))
% 202.84/202.78 [9911]~P1(f318(x99115,f649(x99115,x99113,x99114,x99112,x99111)))+~P1(f318(f318(f225(f927(x99111,a918)),x99112),x99114))+P1(f318(f318(f225(f927(x99111,a918)),f318(f318(f92(f927(x99111,a918)),x99112),f318(f253(x99111),x99113))),f318(f318(f92(f927(x99111,a918)),x99114),f318(f253(x99111),x99115))))
% 202.84/202.78 [9928]~P25(x99285,x99283,x99284,f233(f927(x99285,a918)))+P1(f318(x99281,x99282))+P1(f318(f318(f320(x99283),f816(x99282,x99281,x99284,x99283,x99285)),f318(f301(x99285,x99283,x99284),f233(f927(x99285,a918)))))
% 202.84/202.78 [9951]P36(x99511,x99512,x99513,x99514,x99515)+~E(f318(f180(f921(x99512)),x99515),f318(f180(f921(x99511)),x99514))+P1(f318(f318(f226(a920),f706(x99515,x99514,x99513,x99512,x99511)),f318(f180(f921(x99511)),x99514)))
% 202.84/202.78 [9952]P36(x99521,x99522,x99523,x99524,x99525)+~E(f318(f180(f921(x99522)),x99525),f318(f180(f921(x99521)),x99524))+P1(f318(f318(f226(a920),f740(x99523,x99525,x99522,x99524,x99521)),f318(f180(f921(x99521)),x99524)))
% 202.84/202.78 [9985]P1(f318(f318(f320(x99851),f649(x99852,x99853,x99854,x99855,x99851)),x99855))+~P1(f318(f318(f225(f927(x99851,a918)),x99855),x99854))+P1(f318(f318(f225(f927(x99851,a918)),f318(f318(f92(f927(x99851,a918)),x99855),f318(f253(x99851),x99853))),f318(f318(f92(f927(x99851,a918)),x99854),f318(f253(x99851),x99852))))
% 202.84/202.78 [10031]~P5(x100311)+~P1(f318(f318(f225(x100311),x100312),f318(x100315,f482(x100315,x100314,x100313,x100312,x100311))))+P1(f318(f318(f225(x100311),x100312),f318(f318(f34(x100313,x100311),x100314),x100315)))
% 202.84/202.78 [10068]~P84(x100681)+~P1(f318(f55(x100682),x100685))+E(f318(f318(f318(f59(x100681,x100682,f74(x100681)),f318(f318(f20(x100682,x100681,x100681),f318(f318(f10(x100681,f927(x100681,x100681),x100682),f74(x100681)),x100683)),x100684)),f71(x100681)),x100685),f318(f318(f74(x100681),f318(f318(f318(f59(x100681,x100682,f74(x100681)),x100683),f71(x100681)),x100685)),f318(f318(f318(f59(x100681,x100682,f74(x100681)),x100684),f71(x100681)),x100685)))
% 202.84/202.78 [10123]~P1(f318(f318(f320(f926(f927(x101231,a918),f927(x101231,a918))),f318(f318(f243(f927(x101231,a918),f927(x101231,a918)),x101235),x101234)),f310(x101231,x101233)))+~P1(f318(f318(f320(x101231),x101232),x101235))+P1(f318(f318(f320(f926(x101231,x101231)),f318(f318(f243(x101231,x101231),x101232),f610(x101233,x101234,x101235,x101231,x101232))),x101233))
% 202.84/202.78 [10261]~P1(f318(f318(f320(f926(f921(x102611),f921(x102611))),f318(f318(f243(f921(x102611),f921(x102611)),f318(f318(f125(x102611),x102615),x102612)),f318(f318(f125(x102611),x102615),x102613))),f138(x102611,x102614)))+P1(f318(f318(f320(f926(f921(x102611),f921(x102611))),f318(f318(f243(f921(x102611),f921(x102611)),x102612),x102613)),f138(x102611,x102614)))+P1(f318(f318(f320(f926(x102611,x102611)),f318(f318(f243(x102611,x102611),f692(x102614,x102613,x102612,x102615,x102611)),f692(x102614,x102613,x102612,x102615,x102611))),x102614))
% 202.84/202.78 [7439]~E(x74393,x74395)+E(f318(f318(f155(x74391),f318(f318(f150(x74391,x74392),x74393),x74394)),x74395),x74394)+~P1(f318(f318(f226(a920),x74393),f318(f180(f921(x74391)),x74392)))
% 202.84/202.78 [7552]~E(f318(f318(f125(x75521),x75522),x75524),f318(f318(f125(x75521),x75523),x75525))+E(f318(f318(f166(x75521),f318(f180(f921(x75521)),x75522)),x75523),x75522)+P1(f318(f318(f225(a920),f318(f180(f921(x75521)),x75523)),f318(f180(f921(x75521)),x75522)))
% 202.84/202.78 [8047]~E(f318(f318(f125(x80471),x80472),x80474),f318(f318(f125(x80471),x80473),x80475))+E(f318(f318(f166(x80471),f318(f180(f921(x80471)),x80472)),x80473),x80472)+~P1(f318(f318(f225(a920),f318(f180(f921(x80471)),x80472)),f318(f180(f921(x80471)),x80473)))
% 202.84/202.78 [8071]~P1(f318(f55(x80711),f318(x80714,x80715)))+~P1(f318(f318(f320(x80712),x80715),x80713))+P1(f318(f55(x80711),f318(f318(f34(x80712,f927(x80711,a918)),x80713),x80714)))
% 202.84/202.78 [8248]~P56(x82481,x82483,x82485)+~P56(x82481,x82482,x82484)+P56(x82481,f318(f318(f92(f927(x82481,a918)),x82482),x82483),f318(f318(f92(f927(f926(x82481,x82481),a918)),x82484),x82485))
% 202.84/202.78 [8249]~P56(x82491,x82493,x82495)+~P56(x82491,x82492,x82494)+P56(x82491,f318(f318(f101(f927(x82491,a918)),x82492),x82493),f318(f318(f101(f927(f926(x82491,x82491),a918)),x82494),x82495))
% 202.84/202.78 [8607]E(f318(f318(f243(x86071,x86072),f318(f318(f155(x86071),x86073),x86074)),f318(f318(f155(x86072),x86075),x86074)),f318(f318(f155(f926(x86071,x86072)),f318(f318(f172(x86071,x86072),x86073),x86075)),x86074))+~P1(f318(f318(f226(a920),x86074),f318(f180(f921(x86071)),x86073)))+~P1(f318(f318(f226(a920),x86074),f318(f180(f921(x86072)),x86075)))
% 202.84/202.78 [8764]~P56(x87641,x87643,x87644)+P1(f318(f318(f320(x87641),x87642),x87643))+~P1(f318(f318(f320(f926(x87641,x87641)),f318(f318(f243(x87641,x87641),x87645),x87642)),x87644))
% 202.84/202.78 [8765]~P56(x87651,x87653,x87654)+P1(f318(f318(f320(x87651),x87652),x87653))+~P1(f318(f318(f320(f926(x87651,x87651)),f318(f318(f243(x87651,x87651),x87652),x87655)),x87654))
% 202.84/202.78 [8766]~P8(x87661,x87663,x87664)+P1(f318(f318(f320(x87661),x87662),x87663))+~P1(f318(f318(f320(f926(x87661,x87661)),f318(f318(f243(x87661,x87661),x87665),x87662)),x87664))
% 202.84/202.78 [8767]~P8(x87671,x87673,x87674)+P1(f318(f318(f320(x87671),x87672),x87673))+~P1(f318(f318(f320(f926(x87671,x87671)),f318(f318(f243(x87671,x87671),x87672),x87675)),x87674))
% 202.84/202.78 [9050]~P8(x90501,x90505,x90502)+E(f318(f276(x90501,x90501,x90502),f318(f318(f300(x90501),x90503),f179(f927(x90501,a918)))),f318(f276(x90501,x90501,x90502),f318(f318(f300(x90501),x90504),f179(f927(x90501,a918)))))+~P1(f318(f318(f320(f926(x90501,x90501)),f318(f318(f243(x90501,x90501),x90503),x90504)),x90502))
% 202.84/202.78 [9239]P1(f318(x92391,x92392))+~P1(f318(f318(f320(x92393),x92392),x92395))+P1(f318(f318(f320(x92393),f389(x92391,x92394,x92395,x92393)),f318(f318(f101(f927(x92393,a918)),x92395),x92394)))
% 202.84/202.78 [9240]P1(f318(x92401,x92402))+~P1(f318(f318(f320(x92403),x92402),x92404))+P1(f318(f318(f320(x92403),f389(x92401,x92404,x92405,x92403)),f318(f318(f101(f927(x92403,a918)),x92405),x92404)))
% 202.84/202.78 [9248]~P1(f318(x92482,x92485))+~P1(f318(f318(f320(x92481),x92485),x92484))+P1(f318(f318(f320(x92481),f448(x92482,x92483,x92484,x92481)),f318(f318(f101(f927(x92481,a918)),x92484),x92483)))
% 202.84/202.78 [9249]~P1(f318(x92492,x92495))+~P1(f318(f318(f320(x92491),x92495),x92493))+P1(f318(f318(f320(x92491),f448(x92492,x92493,x92494,x92491)),f318(f318(f101(f927(x92491,a918)),x92494),x92493)))
% 202.84/202.78 [9264]~P1(f318(f318(f225(f927(x92641,a918)),x92643),x92645))+~P1(f318(f318(f225(f927(x92641,a918)),x92642),x92644))+P1(f318(f318(f225(f927(x92641,a918)),f318(f318(f92(f927(x92641,a918)),x92642),x92643)),f318(f318(f92(f927(x92641,a918)),x92644),x92645)))
% 202.84/202.78 [9265]~P1(f318(f318(f225(f927(x92651,a918)),x92653),x92655))+~P1(f318(f318(f225(f927(x92651,a918)),x92652),x92654))+P1(f318(f318(f225(f927(x92651,a918)),f318(f318(f101(f927(x92651,a918)),x92652),x92653)),f318(f318(f101(f927(x92651,a918)),x92654),x92655)))
% 202.84/202.78 [9266]~P1(f318(f318(f225(f927(x92661,a918)),x92665),x92663))+~P1(f318(f318(f225(f927(x92661,a918)),x92662),x92664))+P1(f318(f318(f225(f927(x92661,a918)),f318(f318(f3(f927(x92661,a918)),x92662),x92663)),f318(f318(f3(f927(x92661,a918)),x92664),x92665)))
% 202.84/202.78 [9362]P1(f318(f318(f320(f926(x93621,x93621)),f318(f318(f243(x93621,x93621),x93622),x93623)),f312(x93621,x93624,x93625)))+~P1(f318(f318(f225(a920),f318(x93624,x93622)),f318(x93624,x93623)))+~P1(f318(f318(f320(f926(x93621,x93621)),f318(f318(f243(x93621,x93621),x93622),x93623)),x93625))
% 202.84/202.78 [9550]P1(f318(f318(f320(f926(x95501,x95501)),f318(f318(f243(x95501,x95501),x95502),x95503)),f298(x95501,x95504)))+~P1(f318(f318(f320(f926(x95501,x95501)),f318(f318(f243(x95501,x95501),x95502),x95505)),f298(x95501,x95504)))+~P1(f318(f318(f320(f926(x95501,x95501)),f318(f318(f243(x95501,x95501),x95505),x95503)),x95504))
% 202.84/202.78 [9551]P1(f318(f318(f320(f926(x95511,x95511)),f318(f318(f243(x95511,x95511),x95512),x95513)),f298(x95511,x95514)))+~P1(f318(f318(f320(f926(x95511,x95511)),f318(f318(f243(x95511,x95511),x95515),x95513)),f298(x95511,x95514)))+~P1(f318(f318(f320(f926(x95511,x95511)),f318(f318(f243(x95511,x95511),x95512),x95515)),x95514))
% 202.84/202.78 [9652]E(x96521,x96522)+E(f318(a103,f630(x96523,x96524,x96521,x96522,x96525)),x96524)+~P1(f318(f318(f320(f926(x96525,x96525)),f318(f318(f243(x96525,x96525),x96522),x96521)),f318(f318(f174(f926(x96525,x96525),a918),x96524),x96523)))
% 202.84/202.78 [9653]E(x96531,x96532)+E(f318(a103,f632(x96533,x96534,x96531,x96532,x96535)),x96534)+~P1(f318(f318(f320(f926(x96535,x96535)),f318(f318(f243(x96535,x96535),x96532),x96531)),f318(f318(f174(f926(x96535,x96535),a918),x96534),x96533)))
% 202.84/202.78 [9654]E(x96541,f2(a920))+E(f318(a103,f630(x96542,x96541,x96543,x96544,x96545)),x96541)+~P1(f318(f318(f320(f926(x96545,x96545)),f318(f318(f243(x96545,x96545),x96544),x96543)),f318(f318(f174(f926(x96545,x96545),a918),x96541),x96542)))
% 202.84/202.78 [9655]E(x96551,f2(a920))+E(f318(a103,f632(x96552,x96551,x96553,x96554,x96555)),x96551)+~P1(f318(f318(f320(f926(x96555,x96555)),f318(f318(f243(x96555,x96555),x96554),x96553)),f318(f318(f174(f926(x96555,x96555),a918),x96551),x96552)))
% 202.84/202.78 [9677]P1(f318(f318(f320(f926(x96771,x96771)),f318(f318(f243(x96771,x96771),x96772),x96773)),f318(f318(f280(x96771,x96771,x96771),x96774),f298(x96771,x96774))))+~P1(f318(f318(f320(f926(x96771,x96771)),f318(f318(f243(x96771,x96771),x96772),x96775)),x96774))+~P1(f318(f318(f320(f926(x96771,x96771)),f318(f318(f243(x96771,x96771),x96775),x96773)),x96774))
% 202.84/202.78 [9684]~P1(f318(f318(f320(f926(x96841,x96841)),f318(f318(f243(x96841,x96841),x96842),x96845)),f298(x96841,x96844)))+P1(f318(f318(f320(f926(x96841,x96841)),f318(f318(f243(x96841,x96841),x96842),x96843)),f318(f318(f280(x96841,x96841,x96841),x96844),f298(x96841,x96844))))+~P1(f318(f318(f320(f926(x96841,x96841)),f318(f318(f243(x96841,x96841),x96845),x96843)),x96844))
% 202.84/202.78 [9718]~P8(x97181,x97185,x97182)+~P1(f318(f318(f320(f926(x97181,x97181)),f318(f318(f243(x97181,x97181),x97183),x97184)),x97182))+P1(f318(f318(f225(f927(x97181,a918)),f318(f276(x97181,x97181,x97182),f318(f318(f300(x97181),x97183),f179(f927(x97181,a918))))),f318(f276(x97181,x97181,x97182),f318(f318(f300(x97181),x97184),f179(f927(x97181,a918))))))
% 202.84/202.78 [9776]P1(f318(f318(f320(f926(x97761,x97761)),f318(f318(f243(x97761,x97761),x97762),x97763)),f318(f318(f280(x97761,x97761,x97761),x97764),f298(x97761,x97764))))+~P1(f318(f318(f320(f926(x97761,x97761)),f318(f318(f243(x97761,x97761),x97762),x97765)),f318(f318(f280(x97761,x97761,x97761),x97764),f298(x97761,x97764))))+~P1(f318(f318(f320(f926(x97761,x97761)),f318(f318(f243(x97761,x97761),x97765),x97763)),x97764))
% 202.84/202.78 [9777]P1(f318(f318(f320(f926(x97771,x97771)),f318(f318(f243(x97771,x97771),x97772),x97773)),f318(f318(f280(x97771,x97771,x97771),x97774),f298(x97771,x97774))))+~P1(f318(f318(f320(f926(x97771,x97771)),f318(f318(f243(x97771,x97771),x97775),x97773)),f318(f318(f280(x97771,x97771,x97771),x97774),f298(x97771,x97774))))+~P1(f318(f318(f320(f926(x97771,x97771)),f318(f318(f243(x97771,x97771),x97772),x97775)),x97774))
% 202.84/202.78 [9828]~P1(f318(f60(x98281,x98281,x98284,x98282,x98283),x98285))+P1(f318(f318(f320(x98281),x98282),x98283))+P1(f318(f56(x98281,x98284,f318(f318(f300(x98281),x98282),x98283)),x98285))
% 202.84/202.78 [9866]~E(f318(f301(x98663,x98662,x98665),x98664),x98661)+E(x98661,f179(f927(x98662,a918)))+P1(f318(f318(f225(f927(x98663,a918)),f318(f301(x98662,x98663,f869(x98664,x98663,x98662,x98661)),x98661)),x98664))
% 202.84/202.78 [9914]~P5(x99145)+P1(f318(f318(f320(x99141),f485(x99142,x99143,x99144,x99141,x99145)),x99144))+P1(f318(f318(f225(x99145),f318(f318(f33(x99141,x99145),x99144),x99143)),x99142))
% 202.84/202.78 [9971]P36(x99711,x99712,x99713,x99714,x99715)+~E(f318(f180(f921(x99711)),x99714),f318(f180(f921(x99712)),x99715))+P1(f318(f318(f320(f926(x99711,x99712)),f699(x99715,x99714,x99713,x99712,x99711)),f318(f163(f926(x99711,x99712)),f318(f318(f172(x99711,x99712),x99714),x99715))))
% 202.84/202.78 [9972]P36(x99721,x99722,x99723,x99724,x99725)+~E(f318(f180(f921(x99721)),x99724),f318(f180(f921(x99722)),x99725))+P1(f318(f318(f320(f926(x99721,x99722)),f705(x99723,x99725,x99724,x99722,x99721)),f318(f163(f926(x99721,x99722)),f318(f318(f172(x99721,x99722),x99724),x99725))))
% 202.84/202.78 [10102]E(x101021,x101022)+P1(f318(f318(f320(f926(x101023,x101023)),f318(f318(f243(x101023,x101023),x101021),f631(x101024,x101025,x101022,x101021,x101023))),x101024))+~P1(f318(f318(f320(f926(x101023,x101023)),f318(f318(f243(x101023,x101023),x101021),x101022)),f318(f318(f174(f926(x101023,x101023),a918),x101025),x101024)))
% 202.84/202.78 [10103]E(x101031,f2(a920))+P1(f318(f318(f320(f926(x101032,x101032)),f318(f318(f243(x101032,x101032),x101033),f631(x101034,x101031,x101035,x101033,x101032))),x101034))+~P1(f318(f318(f320(f926(x101032,x101032)),f318(f318(f243(x101032,x101032),x101033),x101035)),f318(f318(f174(f926(x101032,x101032),a918),x101031),x101034)))
% 202.84/202.78 [10142]~P5(x101421)+~P1(f318(f318(f225(x101421),f318(x101424,f485(x101425,x101424,x101423,x101422,x101421))),x101425))+P1(f318(f318(f225(x101421),f318(f318(f33(x101422,x101421),x101423),x101424)),x101425))
% 202.84/202.78 [10194]E(x101941,x101942)+P1(f318(f318(f320(f926(x101943,x101943)),f318(f318(f243(x101943,x101943),f633(x101944,x101945,x101941,x101942,x101943)),x101941)),x101944))+~P1(f318(f318(f320(f926(x101943,x101943)),f318(f318(f243(x101943,x101943),x101942),x101941)),f318(f318(f174(f926(x101943,x101943),a918),x101945),x101944)))
% 202.84/202.78 [10195]E(x101951,f2(a920))+P1(f318(f318(f320(f926(x101952,x101952)),f318(f318(f243(x101952,x101952),f633(x101953,x101951,x101954,x101955,x101952)),x101954)),x101953))+~P1(f318(f318(f320(f926(x101952,x101952)),f318(f318(f243(x101952,x101952),x101955),x101954)),f318(f318(f174(f926(x101952,x101952),a918),x101951),x101953)))
% 202.84/202.78 [10199]E(x101991,x101992)+P1(f318(f318(f320(f926(x101993,x101993)),f318(f318(f243(x101993,x101993),x101991),f633(x101994,x101995,x101992,x101991,x101993))),f318(f318(f174(f926(x101993,x101993),a918),f632(x101994,x101995,x101992,x101991,x101993)),x101994)))+~P1(f318(f318(f320(f926(x101993,x101993)),f318(f318(f243(x101993,x101993),x101991),x101992)),f318(f318(f174(f926(x101993,x101993),a918),x101995),x101994)))
% 202.84/202.78 [10200]E(x102001,f2(a920))+P1(f318(f318(f320(f926(x102002,x102002)),f318(f318(f243(x102002,x102002),x102003),f633(x102004,x102001,x102005,x102003,x102002))),f318(f318(f174(f926(x102002,x102002),a918),f632(x102004,x102001,x102005,x102003,x102002)),x102004)))+~P1(f318(f318(f320(f926(x102002,x102002)),f318(f318(f243(x102002,x102002),x102003),x102005)),f318(f318(f174(f926(x102002,x102002),a918),x102001),x102004)))
% 202.84/202.78 [10252]E(x102521,x102522)+P1(f318(f318(f320(f926(x102523,x102523)),f318(f318(f243(x102523,x102523),f631(x102524,x102525,x102521,x102522,x102523)),x102521)),f318(f318(f174(f926(x102523,x102523),a918),f630(x102524,x102525,x102521,x102522,x102523)),x102524)))+~P1(f318(f318(f320(f926(x102523,x102523)),f318(f318(f243(x102523,x102523),x102522),x102521)),f318(f318(f174(f926(x102523,x102523),a918),x102525),x102524)))
% 202.84/202.78 [10253]E(x102531,f2(a920))+P1(f318(f318(f320(f926(x102532,x102532)),f318(f318(f243(x102532,x102532),f631(x102533,x102531,x102534,x102535,x102532)),x102534)),f318(f318(f174(f926(x102532,x102532),a918),f630(x102533,x102531,x102534,x102535,x102532)),x102533)))+~P1(f318(f318(f320(f926(x102532,x102532)),f318(f318(f243(x102532,x102532),x102535),x102534)),f318(f318(f174(f926(x102532,x102532),a918),x102531),x102533)))
% 202.84/202.78 [10287]~P83(x102872)+~P1(f318(f55(x102871),x102875))+E(f318(f318(f8(x102871,x102872),f318(f318(f9(x102871,x102872,x102872),f318(f318(f20(x102871,x102872,f927(x102872,x102872)),f318(f318(f10(a918,f927(x102872,f927(x102872,x102872)),x102871),f85(x102872)),f318(f318(f9(x102871,f927(x102871,a918),a918),f320(x102871)),x102873))),x102874)),f2(x102872))),x102875),f318(f318(f8(x102871,x102872),x102874),f318(f318(f92(f927(x102871,a918)),x102875),x102873)))
% 202.84/202.78 [8833]~P84(x88331)+~P1(f318(f55(x88334),x88335))+E(f318(f318(f74(x88331),f318(x88332,x88333)),f318(f318(f11(x88334,x88331),x88332),f318(f318(f3(f927(x88334,a918)),x88335),f318(f318(f300(x88334),x88333),f179(f927(x88334,a918)))))),f318(f318(f11(x88334,x88331),x88332),f318(f318(f300(x88334),x88333),x88335)))
% 202.84/202.78 [8834]~P83(x88341)+~P1(f318(f55(x88344),x88345))+E(f318(f318(f73(x88341),f318(x88342,x88343)),f318(f318(f8(x88344,x88341),x88342),f318(f318(f3(f927(x88344,a918)),x88345),f318(f318(f300(x88344),x88343),f179(f927(x88344,a918)))))),f318(f318(f8(x88344,x88341),x88342),f318(f318(f300(x88344),x88343),x88345)))
% 202.84/202.78 [9170]~P4(x91702)+~P13(x91702,f318(f159(x91702),f318(f318(f145(x91701,x91702),x91704),x91705)))+E(f318(f127(x91701,f318(f318(f10(x91702,a918,x91701),f318(f226(x91702),x91703)),x91704)),x91705),f168(x91701,f318(f318(f10(x91702,a918,x91701),f318(f226(x91702),x91703)),x91704),x91705))
% 202.84/202.78 [9195]~P83(x91951)+E(f318(f318(f73(x91951),f318(f318(f8(a920,x91951),x91952),f294(a920,x91953,x91954))),f318(f318(f8(a920,x91951),x91952),f294(a920,f318(f318(f73(a920),x91954),f71(a920)),f318(f318(f73(a920),x91954),x91955)))),f318(f318(f8(a920,x91951),x91952),f294(a920,x91953,f318(f318(f73(a920),x91954),x91955))))+~P1(f318(f318(f225(a920),x91953),f318(f318(f73(a920),x91954),f71(a920))))
% 202.84/202.78 [9196]~P1(f318(f318(f320(x91961),x91964),x91965))+~P1(f318(f318(f225(f927(x91961,a918)),f318(f163(x91961),x91962)),x91965))+P1(f318(f318(f225(f927(x91961,a918)),f318(f163(x91961),f318(f318(f150(x91961,x91962),x91963),x91964))),x91965))
% 202.84/202.78 [9423]~P5(x94232)+~P1(f318(f55(x94231),x94235))+E(f318(f318(f58(x94231,x94232,f318(f318(f10(x94232,f927(x94232,x94232),x94231),f92(x94232)),x94233)),x94234),x94235),f318(f318(f92(x94232),x94234),f318(f318(f34(x94231,x94232),x94235),x94233)))
% 202.84/202.78 [9424]~P5(x94242)+~P1(f318(f55(x94241),x94245))+E(f318(f318(f58(x94241,x94242,f318(f318(f10(x94242,f927(x94242,x94242),x94241),f101(x94242)),x94243)),x94244),x94245),f318(f318(f101(x94242),x94244),f318(f318(f33(x94241,x94242),x94245),x94243)))
% 202.84/202.78 [9473]E(f318(x94731,x94732),f318(x94731,x94733))+P1(f318(f318(f226(a920),f318(x94731,x94732)),f318(x94731,x94733)))+~P1(f318(f318(f320(f926(x94734,x94734)),f318(f318(f243(x94734,x94734),x94732),x94733)),f144(x94734,f318(f318(f142(f927(x94734,a920)),x94731),x94735))))
% 202.84/202.78 [9507]~E(f318(x95074,x95072),f318(x95074,x95073))+~P1(f318(f318(f320(f926(x95071,x95071)),f318(f318(f243(x95071,x95071),x95072),x95073)),f144(x95071,x95075)))+P1(f318(f318(f320(f926(x95071,x95071)),f318(f318(f243(x95071,x95071),x95072),x95073)),f144(x95071,f318(f318(f142(f927(x95071,a920)),x95074),x95075))))
% 202.84/202.78 [9528]~P25(x95281,x95282,x95283,x95285)+P25(x95281,x95282,x95283,f318(f318(f300(x95281),x95284),x95285))+P1(f318(f318(f320(x95282),f318(x95283,x95284)),f318(f301(x95281,x95282,x95283),f318(f318(f3(f927(x95281,a918)),x95285),f318(f318(f300(x95281),x95284),f179(f927(x95281,a918)))))))
% 202.84/202.78 [9531]P1(f318(x95312,x95315))+~P1(f318(f318(f320(x95311),x95315),f318(f163(x95311),x95313)))+E(f318(f318(f129(x95311),f318(f180(f921(x95311)),f168(x95311,x95312,f318(f318(f125(x95311),x95313),x95314)))),f318(f318(f125(x95311),x95313),x95314)),f318(f318(f125(x95311),f318(f318(f129(x95311),f318(f180(f921(x95311)),f168(x95311,x95312,x95313))),x95313)),x95314))
% 202.84/202.78 [9536]~P1(f318(f318(f320(f926(x95361,x95361)),f318(f318(f243(x95361,x95361),x95362),x95363)),f144(x95361,x95365)))+~P1(f318(f318(f225(a920),f318(x95364,x95362)),f318(x95364,x95363)))+P1(f318(f318(f320(f926(x95361,x95361)),f318(f318(f243(x95361,x95361),x95362),x95363)),f144(x95361,f318(f318(f142(f927(x95361,a920)),x95364),x95365))))
% 202.84/202.78 [9603]P1(f318(f318(f320(f926(x96034,x96034)),f318(f318(f243(x96034,x96034),x96032),x96033)),f144(x96034,x96035)))+P1(f318(f318(f226(a920),f318(x96031,x96032)),f318(x96031,x96033)))+~P1(f318(f318(f320(f926(x96034,x96034)),f318(f318(f243(x96034,x96034),x96032),x96033)),f144(x96034,f318(f318(f142(f927(x96034,a920)),x96031),x96035))))
% 202.84/202.78 [9748]~P1(f318(f318(f320(f926(f921(x97481),f921(x97481))),f318(f318(f243(f921(x97481),f921(x97481)),x97482),x97484)),f149(x97481,x97485)))+~P1(f318(f318(f226(a920),x97483),f318(f180(f921(x97481)),x97482)))+P1(f318(f318(f320(f926(x97481,x97481)),f318(f318(f243(x97481,x97481),f318(f318(f155(x97481),x97482),x97483)),f318(f318(f155(x97481),x97484),x97483))),x97485))
% 202.84/202.78 [9995]E(x99951,f2(a1))+~P1(f318(f43(x99953,x99951),f318(f318(f243(a1,a1),x99954),x99955)))+P1(f318(f43(f318(f318(f74(a1),x99952),x99953),x99951),f318(f318(f243(a1,a1),f318(f318(f73(a1),f318(f318(f74(a1),x99952),x99954)),f318(f318(f30(a1),f318(f318(f74(a1),x99952),x99955)),x99951))),f39(a1,f318(f318(f74(a1),x99952),x99955),x99951))))
% 202.84/202.78 [9998]~P1(f318(f318(f226(a920),f2(a920)),x99983))+~P1(f318(f42(x99982,x99983),f318(f318(f243(a920,a920),x99984),x99985)))+P1(f318(f42(f318(f318(f74(a920),x99981),x99982),x99983),f318(f318(f243(a920,a920),f318(f318(f73(a920),f318(f318(f74(a920),x99981),x99984)),f318(f318(f30(a920),f318(f318(f74(a920),x99981),x99985)),x99983))),f39(a920,f318(f318(f74(a920),x99981),x99985),x99983))))
% 202.84/202.78 [10310]~P83(x103102)+~P1(f318(f55(x103101),x103104))+E(f318(f318(f8(x103101,x103102),x103103),f318(f253(x103101),f318(f318(f20(x103101,a918,a918),f318(f318(f10(a918,f927(a918,a918),x103101),a316),f318(f318(f9(x103101,f927(x103101,a918),a918),f320(x103101)),x103104))),f318(f318(f9(x103101,f927(x103101,a918),a918),f320(x103101)),x103105)))),f318(f318(f8(x103101,x103102),f318(f318(f9(x103101,x103102,x103102),f318(f318(f20(x103101,x103102,f927(x103102,x103102)),f318(f318(f10(a918,f927(x103102,f927(x103102,x103102)),x103101),f85(x103102)),f318(f318(f9(x103101,f927(x103101,a918),a918),f320(x103101)),x103105))),x103103)),f2(x103102))),x103104))
% 202.84/202.78 [8458]~E(f318(f318(f125(x84581),x84582),x84585),f318(f318(f125(x84581),x84583),x84584))+E(f318(f318(f125(x84581),f318(f318(f129(x84581),f318(f180(f921(x84581)),x84582)),x84583)),x84584),x84585)+P1(f318(f318(f225(a920),f318(f180(f921(x84581)),x84583)),f318(f180(f921(x84581)),x84582)))
% 202.84/202.78 [8657]~E(f318(f318(f125(x86572),x86573),x86571),f318(f318(f125(x86572),x86574),x86575))+E(x86571,f318(f318(f125(x86572),f318(f318(f129(x86572),f318(f180(f921(x86572)),x86573)),x86574)),x86575))+~P1(f318(f318(f225(a920),f318(f180(f921(x86572)),x86573)),f318(f180(f921(x86572)),x86574)))
% 202.84/202.78 [8747]~E(f318(f318(f73(a920),f318(f318(f74(a920),x87473),x87474)),x87471),f318(f318(f73(a920),f318(f318(f74(a920),x87472),x87474)),x87475))+~P1(f318(f318(f225(a920),x87473),x87472))+E(x87471,f318(f318(f73(a920),f318(f318(f74(a920),f318(f318(f3(a920),x87472),x87473)),x87474)),x87475))
% 202.84/202.78 [8748]~E(f318(f318(f73(a920),f318(f318(f74(a920),x87481),x87483)),x87484),f318(f318(f73(a920),f318(f318(f74(a920),x87482),x87483)),x87485))+~P1(f318(f318(f225(a920),x87482),x87481))+E(f318(f318(f73(a920),f318(f318(f74(a920),f318(f318(f3(a920),x87481),x87482)),x87483)),x87484),x87485)
% 202.84/202.78 [8917]E(f318(f318(f73(a920),f318(f318(f74(a920),x89171),x89172)),x89173),f318(f318(f73(a920),f318(f318(f74(a920),x89174),x89172)),x89175))+~P1(f318(f318(f225(a920),x89174),x89171))+~E(x89175,f318(f318(f73(a920),f318(f318(f74(a920),f318(f318(f3(a920),x89171),x89174)),x89172)),x89173))
% 202.84/202.78 [8918]E(f318(f318(f73(a920),f318(f318(f74(a920),x89181),x89182)),x89183),f318(f318(f73(a920),f318(f318(f74(a920),x89184),x89182)),x89185))+~P1(f318(f318(f225(a920),x89184),x89181))+~E(f318(f318(f73(a920),f318(f318(f74(a920),f318(f318(f3(a920),x89181),x89184)),x89182)),x89183),x89185)
% 202.84/202.78 [9801]~P74(x98012)+~P1(f318(f55(x98011),x98015))+E(f318(f318(f11(x98011,x98012),f318(f318(f20(x98011,x98012,x98012),f318(f318(f10(x98012,f927(x98012,x98012),x98011),f282(x98012)),x98013)),x98014)),x98015),f318(f318(f282(x98012),f318(f318(f11(x98011,x98012),x98013),x98015)),f318(f318(f11(x98011,x98012),x98014),x98015)))
% 202.84/202.78 [9934]~E(f638(x99345,x99344,x99343,x99342,x99341),f634(x99345,x99344,x99343,x99342,x99341))+P1(f318(f318(f320(f926(x99341,x99341)),f318(f318(f243(x99341,x99341),x99342),x99343)),f298(x99341,x99344)))+~P1(f318(f318(f320(f926(x99341,x99341)),f318(f318(f243(x99341,x99341),x99342),x99343)),f298(x99341,f318(f318(f101(f927(f926(x99341,x99341),a918)),x99344),x99345))))
% 202.84/202.78 [9935]~E(f639(x99355,x99354,x99353,x99352,x99351),f640(x99355,x99354,x99353,x99352,x99351))+P1(f318(f318(f320(f926(x99351,x99351)),f318(f318(f243(x99351,x99351),x99352),x99353)),f298(x99351,x99354)))+~P1(f318(f318(f320(f926(x99351,x99351)),f318(f318(f243(x99351,x99351),x99352),x99353)),f298(x99351,f318(f318(f101(f927(f926(x99351,x99351),a918)),x99354),x99355))))
% 202.84/202.78 [10132]P1(f318(f318(f320(f926(x101321,x101321)),f318(f318(f243(x101321,x101321),x101322),f640(x101325,x101324,x101323,x101322,x101321))),f298(x101321,x101324)))+P1(f318(f318(f320(f926(x101321,x101321)),f318(f318(f243(x101321,x101321),x101322),x101323)),f298(x101321,x101324)))+~P1(f318(f318(f320(f926(x101321,x101321)),f318(f318(f243(x101321,x101321),x101322),x101323)),f298(x101321,f318(f318(f101(f927(f926(x101321,x101321),a918)),x101324),x101325))))
% 202.84/202.78 [10221]P1(f318(f318(f320(f926(x102211,x102211)),f318(f318(f243(x102211,x102211),f634(x102215,x102214,x102213,x102212,x102211)),x102213)),f298(x102211,x102214)))+P1(f318(f318(f320(f926(x102211,x102211)),f318(f318(f243(x102211,x102211),x102212),x102213)),f298(x102211,x102214)))+~P1(f318(f318(f320(f926(x102211,x102211)),f318(f318(f243(x102211,x102211),x102212),x102213)),f298(x102211,f318(f318(f101(f927(f926(x102211,x102211),a918)),x102214),x102215))))
% 202.84/202.78 [10259]P1(f318(f318(f320(f926(x102591,x102591)),f318(f318(f243(x102591,x102591),x102592),x102593)),f298(x102591,x102594)))+P1(f318(f318(f320(f926(x102591,x102591)),f318(f318(f243(x102591,x102591),f638(x102595,x102594,x102593,x102592,x102591)),f634(x102595,x102594,x102593,x102592,x102591))),x102595))+~P1(f318(f318(f320(f926(x102591,x102591)),f318(f318(f243(x102591,x102591),x102592),x102593)),f298(x102591,f318(f318(f101(f927(f926(x102591,x102591),a918)),x102594),x102595))))
% 202.84/202.78 [10260]P1(f318(f318(f320(f926(x102601,x102601)),f318(f318(f243(x102601,x102601),x102602),x102603)),f298(x102601,x102604)))+P1(f318(f318(f320(f926(x102601,x102601)),f318(f318(f243(x102601,x102601),f640(x102605,x102604,x102603,x102602,x102601)),f639(x102605,x102604,x102603,x102602,x102601))),x102605))+~P1(f318(f318(f320(f926(x102601,x102601)),f318(f318(f243(x102601,x102601),x102602),x102603)),f298(x102601,f318(f318(f101(f927(f926(x102601,x102601),a918)),x102604),x102605))))
% 202.84/202.78 [10404]~P1(f318(f318(f320(f926(f921(x104041),f921(x104041))),f318(f318(f243(f921(x104041),f921(x104041)),x104044),x104045)),f149(x104041,x104042)))+~P1(f318(f318(f320(f926(x104041,x104041)),x104043),f318(f163(f926(x104041,x104041)),f318(f318(f172(x104041,x104041),x104044),x104045))))+P1(f318(f318(f248(x104041,x104041,a918),f318(f318(f9(x104041,f927(f926(x104041,x104041),a918),f927(x104041,a918)),f318(f318(f10(f927(x104041,f927(f927(f926(x104041,x104041),a918),a918)),f927(f927(f926(x104041,x104041),a918),f927(x104041,a918)),x104041),f9(x104041,f927(f926(x104041,x104041),a918),a918)),f318(f318(f10(f927(x104041,f926(x104041,x104041)),f927(x104041,f927(f927(f926(x104041,x104041),a918),a918)),x104041),f318(f10(f926(x104041,x104041),f927(f927(f926(x104041,x104041),a918),a918),x104041),f320(f926(x104041,x104041)))),f243(x104041,x104041)))),x104042)),x104043))
% 202.84/202.78 [9832]~P1(f318(f318(f225(a920),x98323),x98322))+~P1(f318(f318(f225(a920),f318(f318(f73(a920),f318(f318(f74(a920),x98323),x98324)),x98321)),f318(f318(f73(a920),f318(f318(f74(a920),x98322),x98324)),x98325)))+P1(f318(f318(f225(a920),x98321),f318(f318(f73(a920),f318(f318(f74(a920),f318(f318(f3(a920),x98322),x98323)),x98324)),x98325)))
% 202.84/202.78 [9833]~P1(f318(f318(f225(a920),x98333),x98332))+~P1(f318(f318(f226(a920),f318(f318(f73(a920),f318(f318(f74(a920),x98333),x98334)),x98331)),f318(f318(f73(a920),f318(f318(f74(a920),x98332),x98334)),x98335)))+P1(f318(f318(f226(a920),x98331),f318(f318(f73(a920),f318(f318(f74(a920),f318(f318(f3(a920),x98332),x98333)),x98334)),x98335)))
% 202.84/202.78 [9850]~P1(f318(f318(f225(a920),x98501),x98504))+P1(f318(f318(f225(a920),f318(f318(f73(a920),f318(f318(f74(a920),x98501),x98502)),x98503)),f318(f318(f73(a920),f318(f318(f74(a920),x98504),x98502)),x98505)))+~P1(f318(f318(f225(a920),x98503),f318(f318(f73(a920),f318(f318(f74(a920),f318(f318(f3(a920),x98504),x98501)),x98502)),x98505)))
% 202.84/202.78 [9851]~P1(f318(f318(f225(a920),x98511),x98514))+P1(f318(f318(f226(a920),f318(f318(f73(a920),f318(f318(f74(a920),x98511),x98512)),x98513)),f318(f318(f73(a920),f318(f318(f74(a920),x98514),x98512)),x98515)))+~P1(f318(f318(f226(a920),x98513),f318(f318(f73(a920),f318(f318(f74(a920),f318(f318(f3(a920),x98514),x98511)),x98512)),x98515)))
% 202.84/202.78 [9969]~P1(f318(f318(f225(a920),x99692),x99691))+~P1(f318(f318(f225(a920),f318(f318(f73(a920),f318(f318(f74(a920),x99691),x99693)),x99694)),f318(f318(f73(a920),f318(f318(f74(a920),x99692),x99693)),x99695)))+P1(f318(f318(f225(a920),f318(f318(f73(a920),f318(f318(f74(a920),f318(f318(f3(a920),x99691),x99692)),x99693)),x99694)),x99695))
% 202.84/202.78 [9970]~P1(f318(f318(f225(a920),x99702),x99701))+~P1(f318(f318(f226(a920),f318(f318(f73(a920),f318(f318(f74(a920),x99701),x99703)),x99704)),f318(f318(f73(a920),f318(f318(f74(a920),x99702),x99703)),x99705)))+P1(f318(f318(f226(a920),f318(f318(f73(a920),f318(f318(f74(a920),f318(f318(f3(a920),x99701),x99702)),x99703)),x99704)),x99705))
% 202.84/202.78 [10017]~P1(f318(f318(f225(a920),x100174),x100171))+P1(f318(f318(f225(a920),f318(f318(f73(a920),f318(f318(f74(a920),x100171),x100172)),x100173)),f318(f318(f73(a920),f318(f318(f74(a920),x100174),x100172)),x100175)))+~P1(f318(f318(f225(a920),f318(f318(f73(a920),f318(f318(f74(a920),f318(f318(f3(a920),x100171),x100174)),x100172)),x100173)),x100175))
% 202.84/202.78 [10018]~P1(f318(f318(f225(a920),x100184),x100181))+P1(f318(f318(f226(a920),f318(f318(f73(a920),f318(f318(f74(a920),x100181),x100182)),x100183)),f318(f318(f73(a920),f318(f318(f74(a920),x100184),x100182)),x100185)))+~P1(f318(f318(f226(a920),f318(f318(f73(a920),f318(f318(f74(a920),f318(f318(f3(a920),x100181),x100184)),x100182)),x100183)),x100185))
% 202.84/202.78 [10247]~P11(x102471,x102472,x102475,x102473)+~P1(f318(f318(f320(f926(x102471,x102471)),x102474),x102475))+P1(f318(f318(f248(x102471,x102471,a918),f318(f318(f9(x102471,f927(x102471,x102472),f927(x102471,a918)),f318(f318(f10(f927(x102472,a918),f927(f927(x102471,x102472),f927(x102471,a918)),x102471),f10(x102472,a918,x102471)),f318(f318(f10(x102472,f927(x102472,a918),x102471),a315),x102473))),x102473)),x102474))
% 202.84/202.78 [10268]~P113(x102681)+~P42(x102681,f927(x102682,a918),x102683)+P42(x102681,f927(x102682,a918),f318(f318(f9(x102681,f927(x102682,a918),f927(x102682,a918)),f318(f318(f10(f927(x102682,a918),f927(f927(x102682,a918),f927(x102682,a918)),x102681),f101(f927(x102682,a918))),f318(f318(f9(x102681,f927(x102682,a918),f927(x102682,a918)),f318(f318(f10(f927(x102682,a918),f927(f927(x102682,a918),f927(x102682,a918)),x102681),f101(f927(x102682,a918))),x102683)),x102684))),x102685))
% 202.84/202.78 [8619]~P20(x86196,x86191,x86192,x86194)+E(f318(f66(x86191,x86191,x86191,f318(x86192,x86193)),f318(x86194,x86195)),f318(f66(x86191,x86191,x86191,f318(x86194,x86195)),f318(x86192,x86193)))+~P1(f318(f55(x86196),x86195))
% 202.84/202.78 [9062]~P25(x90621,x90623,x90625,x90626)+~P25(x90623,x90622,x90624,f318(f301(x90621,x90623,x90625),x90626))+P25(x90621,x90622,f318(f66(x90623,x90622,x90621,x90624),x90625),x90626)
% 202.84/202.78 [9636]~P1(f318(f318(x96364,x96362),x96366))+~P1(f318(f318(x96363,x96365),x96362))+P1(f318(f318(f320(x96361),x96362),f288(x96361,x96363,x96364,x96365,x96366)))
% 202.84/202.78 [9637]~P1(f318(f318(x96373,x96372),x96376))+~P1(f318(f318(x96374,x96375),x96372))+P1(f318(f318(f320(x96371),x96372),f291(x96371,x96373,x96374,x96375,x96376)))
% 202.84/202.78 [9749]E(x97491,x97492)+E(x97493,x97494)+~P1(f318(f318(f320(f926(f921(x97495),f921(x97495))),f318(f318(f243(f921(x97495),f921(x97495)),f318(f318(f142(x97495),x97493),x97491)),f318(f318(f142(x97495),x97494),x97492))),f148(x97495,x97496)))
% 202.84/202.78 [9758]~E(x97582,x97584)+P1(f318(f318(f320(f926(f921(x97581),f921(x97581))),f318(f318(f243(f921(x97581),f921(x97581)),f318(f318(f142(x97581),x97582),x97583)),f318(f318(f142(x97581),x97584),x97585))),f136(x97581,x97586)))+~P1(f318(f318(f320(f926(f921(x97581),f921(x97581))),f318(f318(f243(f921(x97581),f921(x97581)),x97583),x97585)),f136(x97581,x97586)))
% 202.84/202.78 [9759]~E(x97592,x97594)+P1(f318(f318(f320(f926(f921(x97591),f921(x97591))),f318(f318(f243(f921(x97591),f921(x97591)),f318(f318(f142(x97591),x97592),x97593)),f318(f318(f142(x97591),x97594),x97595))),f138(x97591,x97596)))+~P1(f318(f318(f320(f926(f921(x97591),f921(x97591))),f318(f318(f243(f921(x97591),f921(x97591)),x97593),x97595)),f138(x97591,x97596)))
% 202.84/202.78 [9760]~E(x97602,x97604)+P1(f318(f318(f320(f926(f921(x97601),f921(x97601))),f318(f318(f243(f921(x97601),f921(x97601)),f318(f318(f142(x97601),x97602),x97603)),f318(f318(f142(x97601),x97604),x97605))),f148(x97601,x97606)))+~P1(f318(f318(f320(f926(f921(x97601),f921(x97601))),f318(f318(f243(f921(x97601),f921(x97601)),x97603),x97605)),f148(x97601,x97606)))
% 202.84/202.78 [9761]~E(x97612,x97614)+P1(f318(f318(f320(f926(f921(x97611),f921(x97611))),f318(f318(f243(f921(x97611),f921(x97611)),f318(f318(f125(x97611),x97612),x97613)),f318(f318(f125(x97611),x97614),x97615))),f148(x97611,x97616)))+~P1(f318(f318(f320(f926(f921(x97611),f921(x97611))),f318(f318(f243(f921(x97611),f921(x97611)),x97613),x97615)),f148(x97611,x97616)))
% 202.84/202.78 [9762]~E(x97623,x97625)+P1(f318(f318(f320(f926(f921(x97621),f921(x97621))),f318(f318(f243(f921(x97621),f921(x97621)),f318(f318(f125(x97621),x97622),x97623)),f318(f318(f125(x97621),x97624),x97625))),f148(x97621,x97626)))+~P1(f318(f318(f320(f926(f921(x97621),f921(x97621))),f318(f318(f243(f921(x97621),f921(x97621)),x97622),x97624)),f148(x97621,x97626)))
% 202.84/202.78 [9820]E(x98201,x98202)+P1(f318(f318(f320(f926(f921(x98203),f921(x98203))),f318(f318(f243(f921(x98203),f921(x98203)),x98201),x98202)),f148(x98203,x98204)))+~P1(f318(f318(f320(f926(f921(x98203),f921(x98203))),f318(f318(f243(f921(x98203),f921(x98203)),f318(f318(f142(x98203),x98205),x98201)),f318(f318(f142(x98203),x98206),x98202))),f148(x98203,x98204)))
% 202.84/202.78 [9973]~E(x99733,x99735)+P1(f318(f318(f320(f926(f921(x99731),f921(x99731))),f318(f318(f243(f921(x99731),f921(x99731)),f318(f318(f125(x99731),x99732),f318(f318(f142(x99731),x99733),f104(x99731)))),f318(f318(f125(x99731),x99734),f318(f318(f142(x99731),x99735),f104(x99731))))),f148(x99731,x99736)))+~P1(f318(f318(f320(f926(f921(x99731),f921(x99731))),f318(f318(f243(f921(x99731),f921(x99731)),x99732),x99734)),f148(x99731,x99736)))
% 202.84/202.78 [10021]E(x100211,x100212)+E(x100213,x100214)+~P1(f318(f318(f320(f926(f921(x100215),f921(x100215))),f318(f318(f243(f921(x100215),f921(x100215)),f318(f318(f125(x100215),x100213),f318(f318(f142(x100215),x100211),f104(x100215)))),f318(f318(f125(x100215),x100214),f318(f318(f142(x100215),x100212),f104(x100215))))),f148(x100215,x100216)))
% 202.84/202.78 [10047]E(x100471,x100472)+~P1(f318(f318(f320(f926(f921(x100473),f921(x100473))),f318(f318(f243(f921(x100473),f921(x100473)),f318(f318(f125(x100473),x100471),f318(f318(f142(x100473),x100475),f104(x100473)))),f318(f318(f125(x100473),x100472),f318(f318(f142(x100473),x100476),f104(x100473))))),f148(x100473,x100474)))+P1(f318(f318(f320(f926(f921(x100473),f921(x100473))),f318(f318(f243(f921(x100473),f921(x100473)),x100471),x100472)),f148(x100473,x100474)))
% 202.84/202.78 [10085]~P1(f318(f318(f320(f926(f927(x100851,a918),f927(x100851,a918))),f318(f318(f243(f927(x100851,a918),f927(x100851,a918)),x100852),x100854)),f310(x100851,x100856)))+~P1(f318(f318(f320(f926(f927(x100851,a918),f927(x100851,a918))),f318(f318(f243(f927(x100851,a918),f927(x100851,a918)),x100853),x100855)),f310(x100851,x100856)))+P1(f318(f318(f320(f926(f927(x100851,a918),f927(x100851,a918))),f318(f318(f243(f927(x100851,a918),f927(x100851,a918)),f318(f318(f101(f927(x100851,a918)),x100852),x100853)),f318(f318(f101(f927(x100851,a918)),x100854),x100855))),f310(x100851,x100856)))
% 202.84/202.78 [5821]~E(f318(f318(f125(x58211),x58216),x58213),x58215)+E(f318(f318(f125(x58211),x58212),x58213),f318(f318(f142(x58211),x58214),x58215))+~E(x58212,f318(f318(f142(x58211),x58214),x58216))
% 202.84/202.78 [5822]~E(f318(f318(f125(x58221),x58226),x58223),x58225)+E(f318(f318(f125(x58221),x58222),x58223),f318(f318(f125(x58221),x58224),x58225))+~E(x58222,f318(f318(f125(x58221),x58224),x58226))
% 202.84/202.78 [5824]E(f318(f318(f125(x58241),x58242),x58243),f318(f318(f142(x58241),x58244),x58245))+~E(f318(f318(f142(x58241),x58244),x58246),x58242)+~E(x58245,f318(f318(f125(x58241),x58246),x58243))
% 202.84/202.78 [5826]~E(f318(f318(f125(x58261),x58262),x58266),x58264)+E(f318(f318(f125(x58261),x58262),x58263),f318(f318(f125(x58261),x58264),x58265))+~E(x58263,f318(f318(f125(x58261),x58266),x58265))
% 202.84/202.78 [6991]E(f318(x69911,x69912),f318(x69913,x69912))+~E(f318(f318(f145(x69914,x69915),x69911),x69916),f318(f318(f145(x69914,x69915),x69913),x69916))+~P1(f318(f318(f320(x69914),x69912),f318(f163(x69914),x69916)))
% 202.84/202.78 [7385]~P20(x73854,x73855,x73856,x73851)+E(f318(f318(x73851,x73852),x73853),f318(f318(f58(x73854,x73855,x73856),x73853),x73852))+~P1(f318(f55(x73854),x73852))
% 202.84/202.78 [7457]~E(x74572,f318(x74574,x74576))+~P1(f318(f318(f320(x74573),x74576),x74575))+P1(f318(f318(f320(x74571),x74572),f318(f301(x74573,x74571,x74574),x74575)))
% 202.84/202.78 [7458]~E(f318(x74584,x74582),x74586)+~P1(f318(f318(f320(x74583),x74586),x74585))+P1(f318(f318(f320(x74581),x74582),f318(f302(x74581,x74583,x74584),x74585)))
% 202.84/202.78 [7904]~P34(x79041,x79042,x79044,x79046)+P34(x79041,x79042,f318(f318(f142(x79041),x79043),x79044),f318(f318(f142(x79041),x79045),x79046))+~P1(f318(f318(x79042,x79043),x79045))
% 202.84/202.78 [8927]~P60(x89274,x89275,x89271,x89272,x89276)+E(f318(x89271,f318(x89272,x89273)),x89273)+~P1(f318(f318(f320(x89275),x89273),x89276))
% 202.84/202.78 [9432]~P26(x94322,x94321,x94325,x94324,x94323)+E(f318(f84(x94321,x94322,x94323,f84(x94322,x94321,x94324,x94325)),x94326),f318(x94325,x94326))+~P1(f318(f318(f320(x94322),x94326),x94324))
% 202.84/202.78 [9443]~P25(x94431,x94432,x94433,x94436)+P25(x94431,x94432,f68(x94431,x94432,x94433,x94434,x94435),x94436)+P1(f318(f318(f320(x94432),x94435),f318(f301(x94431,x94432,x94433),x94436)))
% 202.84/202.78 [9751]E(x97511,x97512)+E(f318(f180(f921(x97513)),x97514),f318(f180(f921(x97513)),x97515))+~P1(f318(f318(f320(f926(f921(x97513),f921(x97513))),f318(f318(f243(f921(x97513),f921(x97513)),f318(f318(f142(x97513),x97511),x97514)),f318(f318(f142(x97513),x97512),x97515))),f136(x97513,x97516)))
% 202.84/202.78 [9814]~P17(x98141,x98142,x98143)+E(f318(f318(f58(x98141,x98142,x98143),x98144),x98145),x98146)+~P1(f318(f60(x98141,x98142,x98143,x98144,x98145),x98146))
% 202.84/202.78 [9823]E(f318(f180(f921(x98231)),x98232),f318(f180(f921(x98231)),x98233))+P1(f318(f318(f320(f926(f921(x98231),f921(x98231))),f318(f318(f243(f921(x98231),f921(x98231)),x98232),x98233)),f136(x98231,x98234)))+~P1(f318(f318(f320(f926(f921(x98231),f921(x98231))),f318(f318(f243(f921(x98231),f921(x98231)),f318(f318(f142(x98231),x98235),x98232)),f318(f318(f142(x98231),x98236),x98233))),f136(x98231,x98234)))
% 202.84/202.78 [9844]~P1(f318(f318(f320(f926(x98441,x98441)),f318(f318(f243(x98441,x98441),x98442),x98444)),f298(x98441,x98446)))+P1(f318(f318(f320(f926(f921(x98441),f921(x98441))),f318(f318(f243(f921(x98441),f921(x98441)),f318(f318(f142(x98441),x98442),x98443)),f318(f318(f142(x98441),x98444),x98445))),f298(f921(x98441),f148(x98441,x98446))))+~P1(f318(f318(f320(f926(f921(x98441),f921(x98441))),f318(f318(f243(f921(x98441),f921(x98441)),x98443),x98445)),f298(f921(x98441),f148(x98441,x98446))))
% 202.84/202.78 [10027]~P1(f318(x100272,x100276))+~E(f318(f127(x100271,x100272),x100273),f318(f318(f142(x100271),x100274),x100275))+~P1(f318(f318(f320(x100271),x100276),f318(f163(x100271),f750(x100275,x100274,x100273,x100272,x100271))))
% 202.84/202.78 [10028]~P1(f318(x100284,x100286))+~E(f318(f318(f142(x100281),x100282),x100283),f318(f127(x100281,x100284),x100285))+~P1(f318(f318(f320(x100281),x100286),f318(f163(x100281),f746(x100285,x100284,x100283,x100282,x100281))))
% 202.84/202.78 [10344]~P83(x103442)+E(f318(f318(f8(x103441,x103442),f318(f318(f10(f927(x103443,a918),x103442,x103441),f318(f8(x103443,x103442),x103444)),f318(f318(f10(f927(x103443,a918),f927(x103443,a918),x103441),f253(x103443)),f318(f318(f10(f927(x103443,a918),f927(x103443,a918),x103441),f318(f20(x103443,a918,a918),f318(f318(f10(a918,f927(a918,a918),x103443),a316),f318(f318(f9(x103443,f927(x103443,a918),a918),f320(x103443)),x103445)))),f318(f9(x103443,x103441,a918),f318(f318(f10(x103441,f927(x103441,a918),x103443),a315),x103446)))))),f318(f301(x103443,x103441,x103446),x103445)),f318(f318(f8(x103443,x103442),x103444),x103445))+~P1(f318(f55(x103443),x103445))
% 202.84/202.78 [7052]~P4(x70523)+P1(f318(x70522,x70525))+E(f318(f127(x70521,x70522),f318(f318(f139(x70521,x70523,x70524),x70525),x70526)),f318(f127(x70521,x70522),x70526))
% 202.84/202.78 [7054]P1(f318(x70541,x70542))+~E(f157(x70543,x70541,x70544),f318(f318(f243(f921(x70543),f921(x70543)),x70545),x70546))+~P1(f318(f318(f320(x70543),x70542),f318(f163(x70543),x70545)))
% 202.84/202.78 [7099]~P1(f318(x70992,x70996))+~E(f157(x70991,x70992,x70993),f318(f318(f243(f921(x70991),f921(x70991)),x70994),x70995))+~P1(f318(f318(f320(x70991),x70996),f318(f163(x70991),x70995)))
% 202.84/202.78 [7766]~P15(x77661,x77662,x77663)+~P1(f318(f55(x77661),x77666))+E(f318(f318(f58(x77661,x77662,x77663),x77664),f318(f318(f300(x77661),x77665),x77666)),f318(f318(f58(x77661,x77662,x77663),f318(f318(x77663,x77665),x77664)),x77666))
% 202.84/202.78 [7819]~P4(x78192)+~P1(f318(f318(f225(x78192),f318(x78193,x78194)),f318(x78193,x78195)))+E(f318(f318(f139(x78191,x78192,x78193),x78194),f318(f318(f142(x78191),x78195),x78196)),f318(f318(f142(x78191),x78194),f318(f318(f142(x78191),x78195),x78196)))
% 202.84/202.78 [7932]E(x79321,x79322)+~E(f318(f318(f245(x79323,x79324),x79321),f318(f18(f927(x79324,a918),x79323),x79325)),f318(f318(f245(x79323,x79324),x79322),f318(f18(f927(x79324,a918),x79323),x79325)))+~P1(f318(f318(f320(x79324),x79326),x79325))
% 202.84/202.78 [7997]~P15(x79971,x79972,x79973)+~P1(f318(f55(x79971),x79976))+E(f318(f318(f58(x79971,x79972,x79973),x79974),f318(f318(f300(x79971),x79975),x79976)),f318(f318(x79973,x79975),f318(f318(f58(x79971,x79972,x79973),x79974),x79976)))
% 202.84/202.78 [8117]~P17(x81171,x81172,x81173)+~P1(f318(f55(x81171),x81176))+E(f318(f318(f58(x81171,x81172,x81173),f318(f318(x81173,x81174),x81175)),x81176),f318(f318(x81173,x81174),f318(f318(f58(x81171,x81172,x81173),x81175),x81176)))
% 202.84/202.78 [8187]~P21(x81872,x81875,x81876,x81871)+~P1(f318(f55(x81872),x81874))+E(f318(x81871,f318(f318(f300(x81872),x81873),x81874)),f318(f66(x81875,x81875,x81875,f318(x81871,x81874)),f318(x81876,x81873)))
% 202.84/202.78 [8219]~P4(x82192)+P1(f318(f318(f225(x82192),f318(x82193,x82194)),f318(x82193,x82195)))+E(f318(f318(f139(x82191,x82192,x82193),x82194),f318(f318(f142(x82191),x82195),x82196)),f318(f318(f142(x82191),x82195),f318(f318(f139(x82191,x82192,x82193),x82194),x82196)))
% 202.84/202.78 [8365]~E(f318(f180(f921(x83651)),x83655),f318(f180(f921(x83652)),x83656))+~E(f318(f180(f921(x83651)),x83653),f318(f180(f921(x83652)),x83654))+E(f318(f318(f125(f926(x83651,x83652)),f318(f318(f172(x83651,x83652),x83653),x83654)),f318(f318(f172(x83651,x83652),x83655),x83656)),f318(f318(f172(x83651,x83652),f318(f318(f125(x83651),x83653),x83655)),f318(f318(f125(x83652),x83654),x83656)))
% 202.84/202.78 [8476]~E(x84762,f318(f301(x84763,x84761,x84764),x84766))+P1(f318(f318(f225(f927(x84761,a918)),x84762),f318(f301(x84763,x84761,x84764),x84765)))+~P1(f318(f318(f225(f927(x84763,a918)),x84766),x84765))
% 202.84/202.78 [8578]~P4(x85785)+E(f318(x85781,x85782),f318(x85781,x85783))+E(f318(f318(f139(x85784,x85785,x85781),x85782),f318(f318(f139(x85784,x85785,x85781),x85783),x85786)),f318(f318(f139(x85784,x85785,x85781),x85783),f318(f318(f139(x85784,x85785,x85781),x85782),x85786)))
% 202.84/202.78 [8756]~P1(f318(f318(f320(x87562),x87564),f318(x87566,x87563)))+~P1(f318(f318(f320(x87561),x87563),x87565))+P1(f318(f318(f320(f926(x87561,x87562)),f318(f318(f243(x87561,x87562),x87563),x87564)),f318(f318(f245(x87561,x87562),x87565),x87566)))
% 202.84/202.78 [9237]~P84(x92372)+~P25(x92374,x92371,x92375,x92376)+E(f318(f318(f11(x92371,x92372),x92373),f318(f301(x92374,x92371,x92375),x92376)),f318(f318(f11(x92374,x92372),f318(f66(x92371,x92372,x92374,x92373),x92375)),x92376))
% 202.84/202.78 [9238]~P83(x92382)+~P25(x92384,x92381,x92385,x92386)+E(f318(f318(f8(x92381,x92382),x92383),f318(f301(x92384,x92381,x92385),x92386)),f318(f318(f8(x92384,x92382),f318(f66(x92381,x92382,x92384,x92383),x92385)),x92386))
% 202.84/202.78 [9285]~P36(x92852,x92855,x92851,x92853,x92856)+P1(f318(f318(x92851,f318(f318(f155(x92852),x92853),x92854)),f318(f318(f155(x92855),x92856),x92854)))+~P1(f318(f318(f226(a920),x92854),f318(f180(f921(x92855)),x92856)))
% 202.84/202.78 [9286]~P36(x92862,x92865,x92861,x92863,x92866)+P1(f318(f318(x92861,f318(f318(f155(x92862),x92863),x92864)),f318(f318(f155(x92865),x92866),x92864)))+~P1(f318(f318(f226(a920),x92864),f318(f180(f921(x92862)),x92863)))
% 202.84/202.78 [9297]~E(f318(f301(x92971,x92972,x92973),x92974),x92976)+E(f318(f301(x92971,x92972,x92973),f318(f301(x92972,x92971,f84(x92971,x92972,x92974,x92973)),x92975)),x92975)+~P1(f318(f318(f225(f927(x92972,a918)),x92975),x92976))
% 202.84/202.78 [9502]~P20(x95023,x95021,x95026,x95022)+~P1(f318(f55(x95023),x95024))+E(f318(f66(x95021,x95021,x95021,f318(x95022,f318(f318(f3(f927(x95023,a918)),x95024),f318(f318(f300(x95023),x95025),f179(f927(x95023,a918)))))),f318(x95026,x95025)),f318(x95022,f318(f318(f300(x95023),x95025),x95024)))
% 202.84/202.78 [9515]~P1(f318(f318(f320(x95155),x95153),x95156))+P1(f318(f318(f320(x95151),f318(x95152,x95153)),f87(f927(x95151,a918),x95154)))+~P1(f318(f318(f225(f927(x95151,a918)),f318(f301(x95155,x95151,x95152),x95156)),f318(x95154,f318(f301(x95155,x95151,x95152),x95156))))
% 202.84/202.78 [10114]~E(f318(f301(x101142,x101144,x101146),f233(f927(x101142,a918))),f233(f927(x101144,a918)))+~E(f318(f301(x101141,x101143,x101145),f233(f927(x101141,a918))),f233(f927(x101143,a918)))+E(f318(f301(f926(x101141,x101142),f926(x101143,x101144),f249(x101141,x101143,x101142,x101144,x101145,x101146)),f233(f927(f926(x101141,x101142),a918))),f233(f927(f926(x101143,x101144),a918)))
% 202.84/202.78 [10171]~P25(x101713,x101714,x101715,f318(x101716,f550(x101716,x101715,x101714,x101713,x101712,x101711)))+P25(x101713,x101714,x101715,f318(f318(f34(x101712,f927(x101713,a918)),x101711),x101716))+E(x101711,f179(f927(x101712,a918)))
% 202.84/202.78 [10228]P25(x102286,x102285,x102284,f318(f318(f34(x102282,f927(x102286,a918)),x102281),x102283))+E(x102281,f179(f927(x102282,a918)))+P1(f318(f318(f320(x102282),f550(x102283,x102284,x102285,x102286,x102282,x102281)),x102281))
% 202.84/202.78 [10233]P1(f318(f318(f320(x102331),f606(x102332,x102333,x102334,x102335,x102336,x102331)),x102336))+P1(f318(f318(f225(f927(f926(x102331,x102334),a918)),f318(f318(f245(x102331,x102334),x102336),x102333)),f318(f318(f245(x102331,x102334),x102335),x102332)))+~P1(f318(f318(f225(f927(x102331,a918)),x102336),x102335))
% 202.84/202.78 [10358]~P1(f318(f318(f225(f927(x103582,a918)),f318(x103584,f606(x103586,x103584,x103582,x103585,x103583,x103581))),f318(x103586,f606(x103586,x103584,x103582,x103585,x103583,x103581))))+~P1(f318(f318(f225(f927(x103581,a918)),x103583),x103585))+P1(f318(f318(f225(f927(f926(x103581,x103582),a918)),f318(f318(f245(x103581,x103582),x103583),x103584)),f318(f318(f245(x103581,x103582),x103585),x103586)))
% 202.84/202.78 [7954]~P1(f318(x79541,x79545))+~P1(f318(x79546,x79544))+P1(f318(x79541,f318(f247(x79542,x79543),f318(f318(f243(x79542,x79543),x79544),x79545))))
% 202.84/202.78 [7955]~P1(f318(x79551,x79554))+~P1(f318(x79556,x79555))+P1(f318(x79551,f318(f242(x79552,x79553),f318(f318(f243(x79552,x79553),x79554),x79555))))
% 202.84/202.78 [8003]~P1(f318(f318(x80034,x80036),x80035))+~P1(f318(f318(f320(x80031),x80036),x80033))+P1(f318(f318(f318(f33(x80031,f927(x80032,a918)),x80033),x80034),x80035))
% 202.84/202.78 [8313]~P1(f318(f318(f320(x83131),x83132),f318(x83135,x83136)))+~P1(f318(f318(f320(x83133),x83136),x83134))+P1(f318(f318(f320(x83131),x83132),f318(f318(f33(x83133,f927(x83131,a918)),x83134),x83135)))
% 202.84/202.78 [8358]P1(f318(f318(x83581,x83582),x83583))+~P1(f318(f318(x83584,x83582),x83583))+~P1(f318(f318(f225(f927(x83585,f927(x83586,a918))),x83584),x83581))
% 202.84/202.78 [8499]P1(f318(f318(x84991,x84992),x84993))+~P1(f318(f318(f320(x84994),x84992),x84995))+~P1(f318(f318(f318(f34(x84994,f927(x84996,a918)),x84995),x84991),x84993))
% 202.84/202.78 [8634]P1(f318(f318(f320(x86341),x86342),f318(x86343,x86344)))+~P1(f318(f318(f320(x86345),x86344),x86346))+~P1(f318(f318(f320(x86341),x86342),f318(f318(f34(x86345,f927(x86341,a918)),x86346),x86343)))
% 202.84/202.78 [8906]~P11(x89064,x89065,x89066,x89061)+E(f318(x89061,x89062),f318(x89061,x89063))+~P1(f318(f318(f320(f926(x89064,x89064)),f318(f318(f243(x89064,x89064),x89062),x89063)),x89066))
% 202.84/202.78 [8941]P1(f318(f318(f225(f927(x89411,a918)),x89412),f318(x89413,x89414)))+~P1(f318(f318(f320(x89415),x89414),x89416))+~P1(f318(f318(f225(f927(x89411,a918)),x89412),f318(f318(f34(x89415,f927(x89411,a918)),x89416),x89413)))
% 202.84/202.78 [8975]~P58(x89753,x89754,f318(f277(x89754,x89753),x89755))+E(x89751,f179(f927(x89752,a918)))+E(f318(f318(f34(x89752,f927(x89753,a918)),x89751),f318(f318(f10(f927(x89754,a918),f927(x89753,a918),x89752),f276(x89754,x89753,x89755)),x89756)),f318(f276(x89754,x89753,x89755),f318(f318(f34(x89752,f927(x89754,a918)),x89751),x89756)))
% 202.84/202.78 [9053]P1(f318(f318(f320(x90531),x90532),f318(f276(x90533,x90531,x90534),x90535)))+~P1(f318(f318(f320(x90533),x90536),x90535))+~P1(f318(f318(f320(f926(x90533,x90531)),f318(f318(f243(x90533,x90531),x90536),x90532)),x90534))
% 202.84/202.78 [9364]P1(f318(f318(f225(f927(x93641,a918)),f318(f276(x93642,x93641,x93643),x93644)),f318(f276(x93642,x93641,x93645),x93646)))+~P1(f318(f318(f225(f927(x93642,a918)),x93644),x93646))+~P1(f318(f318(f225(f927(f926(x93642,x93641),a918)),x93643),x93645))
% 202.84/202.78 [9552]~P1(f318(f318(f320(x95522),x95526),x95524))+~P1(f318(f318(f225(f927(x95521,a918)),x95523),x95525))+P1(f318(f318(f225(f927(f926(x95521,x95522),a918)),f318(f318(f245(x95521,x95522),x95523),f318(f18(f927(x95522,a918),x95521),x95524))),f318(f318(f245(x95521,x95522),x95525),f318(f18(f927(x95522,a918),x95521),x95524))))
% 202.84/202.78 [9564]~P36(x95641,x95642,x95643,x95645,x95646)+P1(f318(f318(f248(x95641,x95642,a918),x95643),x95644))+~P1(f318(f318(f320(f926(x95641,x95642)),x95644),f318(f163(f926(x95641,x95642)),f318(f318(f172(x95641,x95642),x95645),x95646))))
% 202.84/202.78 [9705]~E(x97053,x97055)+P1(f318(f318(f320(f926(f921(x97051),f921(x97051))),f318(f318(f243(f921(x97051),f921(x97051)),f318(f318(f142(x97051),x97052),x97053)),f318(f318(f142(x97051),x97054),x97055))),f148(x97051,x97056)))+~P1(f318(f318(f320(f926(x97051,x97051)),f318(f318(f243(x97051,x97051),x97052),x97054)),x97056))
% 202.84/202.78 [9711]~E(f318(f180(f921(x97111)),x97113),f318(f180(f921(x97111)),x97115))+P1(f318(f318(f320(f926(f921(x97111),f921(x97111))),f318(f318(f243(f921(x97111),f921(x97111)),f318(f318(f142(x97111),x97112),x97113)),f318(f318(f142(x97111),x97114),x97115))),f136(x97111,x97116)))+~P1(f318(f318(f320(f926(x97111,x97111)),f318(f318(f243(x97111,x97111),x97112),x97114)),x97116))
% 202.84/202.78 [9743]P1(f318(f318(f320(f926(x97431,x97431)),f318(f318(f243(x97431,x97431),x97432),x97433)),f318(f318(f174(f926(x97431,x97431),a918),f318(a103,x97434)),x97435)))+~P1(f318(f318(f320(f926(x97431,x97431)),f318(f318(f243(x97431,x97431),x97436),x97433)),x97435))+~P1(f318(f318(f320(f926(x97431,x97431)),f318(f318(f243(x97431,x97431),x97432),x97436)),f318(f318(f174(f926(x97431,x97431),a918),x97434),x97435)))
% 202.84/202.78 [9744]P1(f318(f318(f320(f926(x97441,x97441)),f318(f318(f243(x97441,x97441),x97442),x97443)),f318(f318(f174(f926(x97441,x97441),a918),f318(a103,x97444)),x97445)))+~P1(f318(f318(f320(f926(x97441,x97441)),f318(f318(f243(x97441,x97441),x97442),x97446)),x97445))+~P1(f318(f318(f320(f926(x97441,x97441)),f318(f318(f243(x97441,x97441),x97446),x97443)),f318(f318(f174(f926(x97441,x97441),a918),x97444),x97445)))
% 202.84/202.78 [9747]~P1(f318(f318(f320(x97474),x97475),x97476))+P1(f318(f318(f225(f927(x97471,a918)),x97472),x97473))+~P1(f318(f318(f225(f927(f926(x97471,x97474),a918)),f318(f318(f245(x97471,x97474),x97472),f318(f18(f927(x97474,a918),x97471),x97476))),f318(f318(f245(x97471,x97474),x97473),f318(f18(f927(x97474,a918),x97471),x97476))))
% 202.84/202.78 [9792]E(x97921,x97922)+~P1(f318(f318(f320(f926(f921(x97923),f921(x97923))),f318(f318(f243(f921(x97923),f921(x97923)),f318(f318(f142(x97923),x97921),x97925)),f318(f318(f142(x97923),x97922),x97926))),f136(x97923,x97924)))+P1(f318(f318(f320(f926(x97923,x97923)),f318(f318(f243(x97923,x97923),x97921),x97922)),x97924))
% 202.84/202.78 [9793]E(x97931,x97932)+~P1(f318(f318(f320(f926(f921(x97933),f921(x97933))),f318(f318(f243(f921(x97933),f921(x97933)),f318(f318(f142(x97933),x97931),x97935)),f318(f318(f142(x97933),x97932),x97936))),f138(x97933,x97934)))+P1(f318(f318(f320(f926(x97933,x97933)),f318(f318(f243(x97933,x97933),x97931),x97932)),x97934))
% 202.84/202.78 [9794]E(x97941,x97942)+~P1(f318(f318(f320(f926(f921(x97943),f921(x97943))),f318(f318(f243(f921(x97943),f921(x97943)),f318(f318(f142(x97943),x97941),x97945)),f318(f318(f142(x97943),x97942),x97946))),f148(x97943,x97944)))+P1(f318(f318(f320(f926(x97943,x97943)),f318(f318(f243(x97943,x97943),x97941),x97942)),x97944))
% 202.84/202.78 [9831]P1(f318(f318(f320(f926(f921(x98311),f921(x98311))),f318(f318(f243(f921(x98311),f921(x98311)),f318(f318(f142(x98311),x98312),x98313)),f318(f318(f142(x98311),x98314),x98315))),f149(x98311,x98316)))+~P1(f318(f318(f320(f926(f921(x98311),f921(x98311))),f318(f318(f243(f921(x98311),f921(x98311)),x98313),x98315)),f149(x98311,x98316)))+~P1(f318(f318(f320(f926(x98311,x98311)),f318(f318(f243(x98311,x98311),x98312),x98314)),x98316))
% 202.84/202.78 [9848]P1(f318(x98481,x98482))+~P1(f318(x98481,f361(x98481,x98483,x98484,x98485,x98486)))+~P1(f318(f318(f320(x98486),x98482),f318(f318(f33(x98485,f927(x98486,a918)),x98484),x98483)))
% 202.84/202.78 [9853]~P1(f318(f318(f320(f926(f921(x98531),f921(x98531))),f318(f318(f243(f921(x98531),f921(x98531)),f318(f318(f142(x98531),x98532),x98535)),f318(f318(f142(x98531),x98533),x98536))),f136(x98531,x98534)))+P1(f318(f318(f320(f926(f921(x98531),f921(x98531))),f318(f318(f243(f921(x98531),f921(x98531)),x98535),x98536)),f136(x98531,x98534)))+P1(f318(f318(f320(f926(x98531,x98531)),f318(f318(f243(x98531,x98531),x98532),x98533)),x98534))
% 202.84/202.78 [9854]~P1(f318(f318(f320(f926(f921(x98541),f921(x98541))),f318(f318(f243(f921(x98541),f921(x98541)),f318(f318(f142(x98541),x98542),x98545)),f318(f318(f142(x98541),x98543),x98546))),f138(x98541,x98544)))+P1(f318(f318(f320(f926(f921(x98541),f921(x98541))),f318(f318(f243(f921(x98541),f921(x98541)),x98545),x98546)),f138(x98541,x98544)))+P1(f318(f318(f320(f926(x98541,x98541)),f318(f318(f243(x98541,x98541),x98542),x98543)),x98544))
% 202.84/202.78 [9855]~P1(f318(f318(f320(f926(f921(x98551),f921(x98551))),f318(f318(f243(f921(x98551),f921(x98551)),f318(f318(f142(x98551),x98552),x98555)),f318(f318(f142(x98551),x98553),x98556))),f148(x98551,x98554)))+P1(f318(f318(f320(f926(f921(x98551),f921(x98551))),f318(f318(f243(f921(x98551),f921(x98551)),x98555),x98556)),f148(x98551,x98554)))+P1(f318(f318(f320(f926(x98551,x98551)),f318(f318(f243(x98551,x98551),x98552),x98553)),x98554))
% 202.84/202.78 [9945]P1(f318(x99451,x99452))+P1(f318(f318(f320(x99453),f362(x99451,x99454,x99455,x99453,x99456)),x99455))+~P1(f318(f318(f320(x99456),x99452),f318(f318(f33(x99453,f927(x99456,a918)),x99455),x99454)))
% 202.84/202.78 [9956]~E(x99562,x99564)+P1(f318(f318(f320(f926(f921(x99561),f921(x99561))),f318(f318(f243(f921(x99561),f921(x99561)),f318(f318(f125(x99561),x99562),f318(f318(f142(x99561),x99563),f104(x99561)))),f318(f318(f125(x99561),x99564),f318(f318(f142(x99561),x99565),f104(x99561))))),f148(x99561,x99566)))+~P1(f318(f318(f320(f926(x99561,x99561)),f318(f318(f243(x99561,x99561),x99563),x99565)),x99566))
% 202.84/202.78 [10035]E(x100351,x100352)+~P1(f318(f318(f320(f926(f921(x100353),f921(x100353))),f318(f318(f243(f921(x100353),f921(x100353)),f318(f318(f125(x100353),x100355),f318(f318(f142(x100353),x100351),f104(x100353)))),f318(f318(f125(x100353),x100356),f318(f318(f142(x100353),x100352),f104(x100353))))),f148(x100353,x100354)))+P1(f318(f318(f320(f926(x100353,x100353)),f318(f318(f243(x100353,x100353),x100351),x100352)),x100354))
% 202.84/202.78 [10066]~P1(f318(f318(f320(f926(f921(x100661),f921(x100661))),f318(f318(f243(f921(x100661),f921(x100661)),f318(f318(f125(x100661),x100665),f318(f318(f142(x100661),x100662),f104(x100661)))),f318(f318(f125(x100661),x100666),f318(f318(f142(x100661),x100663),f104(x100661))))),f148(x100661,x100664)))+P1(f318(f318(f320(f926(f921(x100661),f921(x100661))),f318(f318(f243(f921(x100661),f921(x100661)),x100665),x100666)),f148(x100661,x100664)))+P1(f318(f318(f320(f926(x100661,x100661)),f318(f318(f243(x100661,x100661),x100662),x100663)),x100664))
% 202.84/202.78 [10086]P1(f318(x100861,x100862))+P1(f318(f318(f320(x100863),f361(x100861,x100864,x100865,x100866,x100863)),f318(x100864,f362(x100861,x100864,x100865,x100866,x100863))))+~P1(f318(f318(f320(x100863),x100862),f318(f318(f33(x100866,f927(x100863,a918)),x100865),x100864)))
% 202.84/202.78 [10237]P1(f318(f318(f320(x102371),f844(x102372,x102373,x102374,x102375,x102376,x102371)),x102375))+~P1(f318(f318(f225(f927(x102371,a918)),x102376),x102375))+P1(f318(f318(f225(f927(x102374,a918)),f318(f318(f34(x102371,f927(x102374,a918)),x102375),x102373)),f318(f318(f34(x102371,f927(x102374,a918)),x102375),x102372)))
% 202.84/202.78 [10359]~P1(f318(f318(f225(f927(x103591,a918)),f318(x103594,f844(x103595,x103594,x103591,x103593,x103596,x103592))),f318(x103595,f844(x103595,x103594,x103591,x103593,x103596,x103592))))+~P1(f318(f318(f225(f927(x103592,a918)),x103596),x103593))+P1(f318(f318(f225(f927(x103591,a918)),f318(f318(f34(x103592,f927(x103591,a918)),x103593),x103594)),f318(f318(f34(x103592,f927(x103591,a918)),x103593),x103595)))
% 202.84/202.78 [9074]~P17(x90743,x90744,x90741)+~P1(f318(f55(x90743),x90746))+E(f318(f318(x90741,x90742),f318(f318(f58(x90743,x90744,x90741),x90745),f318(f318(f3(f927(x90743,a918)),x90746),f318(f318(f300(x90743),x90742),f179(f927(x90743,a918)))))),f318(f318(f58(x90743,x90744,x90741),x90745),f318(f318(f300(x90743),x90742),x90746)))
% 202.84/202.78 [9373]~P1(f318(f318(f320(x93735),x93733),x93736))+P1(f318(f318(f225(f927(x93731,a918)),f318(x93732,x93733)),x93734))+~P1(f318(f318(f225(f927(x93731,a918)),f318(f318(f33(x93735,f927(x93731,a918)),x93736),x93732)),x93734))
% 202.84/202.78 [10010]~P8(x100101,x100105,x100104)+P1(f318(f318(f320(f926(x100101,x100101)),f318(f318(f243(x100101,x100101),x100102),x100103)),x100104))+~P1(f318(f318(f320(x100101),x100106),f318(f318(f92(f927(x100101,a918)),f318(f276(x100101,x100101,x100104),f318(f318(f300(x100101),x100102),f179(f927(x100101,a918))))),f318(f276(x100101,x100101,x100104),f318(f318(f300(x100101),x100103),f179(f927(x100101,a918)))))))
% 202.84/202.78 [8794]~P139(x87942)+~E(f318(f318(f73(x87942),f318(f318(f74(x87942),x87944),x87945)),x87941),f318(f318(f73(x87942),f318(f318(f74(x87942),x87943),x87945)),x87946))+E(x87941,f318(f318(f73(x87942),f318(f318(f74(x87942),f318(f318(f3(x87942),x87943),x87944)),x87945)),x87946))
% 202.84/202.78 [8795]~P139(x87951)+~E(f318(f318(f73(x87951),f318(f318(f74(x87951),x87952),x87954)),x87955),f318(f318(f73(x87951),f318(f318(f74(x87951),x87953),x87954)),x87956))+E(f318(f318(f73(x87951),f318(f318(f74(x87951),f318(f318(f3(x87951),x87952),x87953)),x87954)),x87955),x87956)
% 202.84/202.78 [8978]~P139(x89781)+E(f318(f318(f73(x89781),f318(f318(f74(x89781),x89782),x89783)),x89784),f318(f318(f73(x89781),f318(f318(f74(x89781),x89785),x89783)),x89786))+~E(x89786,f318(f318(f73(x89781),f318(f318(f74(x89781),f318(f318(f3(x89781),x89782),x89785)),x89783)),x89784))
% 202.84/202.78 [8979]~P139(x89791)+E(f318(f318(f73(x89791),f318(f318(f74(x89791),x89792),x89793)),x89794),f318(f318(f73(x89791),f318(f318(f74(x89791),x89795),x89793)),x89796))+~E(f318(f318(f73(x89791),f318(f318(f74(x89791),f318(f318(f3(x89791),x89792),x89795)),x89793)),x89794),x89796)
% 202.84/202.78 [9308]~P1(f318(f318(x93084,x93085),x93086))+~P1(f318(f318(x93083,x93085),x93086))+P1(f318(f318(f318(f318(f92(f927(x93081,f927(x93082,a918))),x93083),x93084),x93085),x93086))
% 202.84/202.78 [9573]P1(f318(f318(x95731,x95732),x95733))+P1(f318(f318(x95734,x95732),x95733))+~P1(f318(f318(f318(f318(f101(f927(x95735,f927(x95736,a918))),x95734),x95731),x95732),x95733))
% 202.84/202.78 [9868]~P141(x98681)+~P1(f318(f318(f225(x98681),f318(f318(f73(x98681),f318(f318(f74(x98681),x98684),x98685)),x98682)),f318(f318(f73(x98681),f318(f318(f74(x98681),x98683),x98685)),x98686)))+P1(f318(f318(f225(x98681),x98682),f318(f318(f73(x98681),f318(f318(f74(x98681),f318(f318(f3(x98681),x98683),x98684)),x98685)),x98686)))
% 202.84/202.78 [9869]~P141(x98691)+~P1(f318(f318(f226(x98691),f318(f318(f73(x98691),f318(f318(f74(x98691),x98694),x98695)),x98692)),f318(f318(f73(x98691),f318(f318(f74(x98691),x98693),x98695)),x98696)))+P1(f318(f318(f226(x98691),x98692),f318(f318(f73(x98691),f318(f318(f74(x98691),f318(f318(f3(x98691),x98693),x98694)),x98695)),x98696)))
% 202.84/202.78 [9893]~P141(x98931)+P1(f318(f318(f225(x98931),f318(f318(f73(x98931),f318(f318(f74(x98931),x98932),x98933)),x98934)),f318(f318(f73(x98931),f318(f318(f74(x98931),x98935),x98933)),x98936)))+~P1(f318(f318(f225(x98931),x98934),f318(f318(f73(x98931),f318(f318(f74(x98931),f318(f318(f3(x98931),x98935),x98932)),x98933)),x98936)))
% 202.84/202.78 [9894]~P141(x98941)+P1(f318(f318(f226(x98941),f318(f318(f73(x98941),f318(f318(f74(x98941),x98942),x98943)),x98944)),f318(f318(f73(x98941),f318(f318(f74(x98941),x98945),x98943)),x98946)))+~P1(f318(f318(f226(x98941),x98944),f318(f318(f73(x98941),f318(f318(f74(x98941),f318(f318(f3(x98941),x98945),x98942)),x98943)),x98946)))
% 202.84/202.78 [10002]~P141(x100021)+~P1(f318(f318(f225(x100021),f318(f318(f73(x100021),f318(f318(f74(x100021),x100022),x100024)),x100025)),f318(f318(f73(x100021),f318(f318(f74(x100021),x100023),x100024)),x100026)))+P1(f318(f318(f225(x100021),f318(f318(f73(x100021),f318(f318(f74(x100021),f318(f318(f3(x100021),x100022),x100023)),x100024)),x100025)),x100026))
% 202.84/202.78 [10003]~P141(x100031)+~P1(f318(f318(f226(x100031),f318(f318(f73(x100031),f318(f318(f74(x100031),x100032),x100034)),x100035)),f318(f318(f73(x100031),f318(f318(f74(x100031),x100033),x100034)),x100036)))+P1(f318(f318(f226(x100031),f318(f318(f73(x100031),f318(f318(f74(x100031),f318(f318(f3(x100031),x100032),x100033)),x100034)),x100035)),x100036))
% 202.84/202.78 [10049]~P141(x100491)+P1(f318(f318(f225(x100491),f318(f318(f73(x100491),f318(f318(f74(x100491),x100492),x100493)),x100494)),f318(f318(f73(x100491),f318(f318(f74(x100491),x100495),x100493)),x100496)))+~P1(f318(f318(f225(x100491),f318(f318(f73(x100491),f318(f318(f74(x100491),f318(f318(f3(x100491),x100492),x100495)),x100493)),x100494)),x100496))
% 202.84/202.78 [10050]~P141(x100501)+P1(f318(f318(f226(x100501),f318(f318(f73(x100501),f318(f318(f74(x100501),x100502),x100503)),x100504)),f318(f318(f73(x100501),f318(f318(f74(x100501),x100505),x100503)),x100506)))+~P1(f318(f318(f226(x100501),f318(f318(f73(x100501),f318(f318(f74(x100501),f318(f318(f3(x100501),x100502),x100505)),x100503)),x100504)),x100506))
% 202.84/202.78 [10222]~P83(x102222)+~P1(f318(f55(x102221),x102226))+E(f318(f318(f8(x102221,x102222),f318(f318(f20(x102221,x102222,x102222),f318(f318(f20(x102221,x102222,f927(x102222,x102222)),f318(f318(f10(a918,f927(x102222,f927(x102222,x102222)),x102221),f85(x102222)),x102223)),x102224)),x102225)),x102226),f318(f318(f73(x102222),f318(f318(f8(x102221,x102222),x102224),f318(f318(f92(f927(x102221,a918)),x102226),f318(f253(x102221),x102223)))),f318(f318(f8(x102221,x102222),x102225),f318(f318(f92(f927(x102221,a918)),x102226),f318(f72(f927(x102221,a918)),f318(f253(x102221),x102223))))))
% 202.84/202.78 [10283]P1(f318(f318(f320(x102832),x102834),x102836))+P1(f318(f318(f320(x102832),x102835),x102836))+E(f318(f302(x102831,x102832,f318(f318(f9(x102831,x102832,x102832),f318(f318(f9(x102831,x102832,f927(x102832,x102832)),f318(f318(f10(a918,f927(x102832,f927(x102832,x102832)),x102831),f85(x102832)),f318(f318(f9(x102831,f927(x102831,a918),a918),f320(x102831)),x102833))),x102834)),x102835)),x102836),f179(f927(x102831,a918)))
% 202.84/202.78 [10284]P1(f318(f318(f320(x102842),x102845),x102846))+~P1(f318(f318(f320(x102842),x102844),x102846))+E(f318(f302(x102841,x102842,f318(f318(f9(x102841,x102842,x102842),f318(f318(f9(x102841,x102842,f927(x102842,x102842)),f318(f318(f10(a918,f927(x102842,f927(x102842,x102842)),x102841),f85(x102842)),f318(f318(f9(x102841,f927(x102841,a918),a918),f320(x102841)),x102843))),x102844)),x102845)),x102846),x102843)
% 202.84/202.78 [10285]P1(f318(f318(f320(x102852),x102854),x102856))+~P1(f318(f318(f320(x102852),x102855),x102856))+E(f318(f302(x102851,x102852,f318(f318(f9(x102851,x102852,x102852),f318(f318(f9(x102851,x102852,f927(x102852,x102852)),f318(f318(f10(a918,f927(x102852,f927(x102852,x102852)),x102851),f85(x102852)),f318(f318(f9(x102851,f927(x102851,a918),a918),f320(x102851)),x102853))),x102854)),x102855)),x102856),f318(f72(f927(x102851,a918)),x102853))
% 202.84/202.78 [10286]~P1(f318(f318(f320(x102862),x102864),x102866))+~P1(f318(f318(f320(x102862),x102865),x102866))+E(f318(f302(x102861,x102862,f318(f318(f9(x102861,x102862,x102862),f318(f318(f9(x102861,x102862,f927(x102862,x102862)),f318(f318(f10(a918,f927(x102862,f927(x102862,x102862)),x102861),f85(x102862)),f318(f318(f9(x102861,f927(x102861,a918),a918),f320(x102861)),x102863))),x102864)),x102865)),x102866),f233(f927(x102861,a918)))
% 202.84/202.78 [8827]E(x88271,x88272)+~P60(x88274,x88275,x88273,x88276,x88277)+~E(f318(x88273,x88271),f318(x88273,x88272))
% 202.84/202.78 [8856]~P10(x88566,x88565,x88567,x88564,x88561)+E(f318(f318(x88561,x88562),x88563),x88564)+P1(f318(f55(x88565),x88563))
% 202.84/202.78 [9734]P45(x97341,x97342,x97343,x97344,x97345,f318(f318(x97343,x97346),x97347))+~E(f318(f318(x97343,x97346),x97347),x97344)+~E(x97345,f179(f927(x97341,a918)))
% 202.84/202.78 [9916]~P1(f318(x99166,x99163))+~P1(f318(f318(f320(f926(x99162,x99162)),f318(f318(f243(x99162,x99162),x99164),x99165)),f318(x99167,x99163)))+P1(f318(f318(f320(f926(f926(x99161,x99162),f926(x99161,x99162))),f318(f318(f243(f926(x99161,x99162),f926(x99161,x99162)),f318(f318(f243(x99161,x99162),x99163),x99164)),f318(f318(f243(x99161,x99162),x99163),x99165))),f271(x99161,x99162,x99166,x99167)))
% 202.84/202.78 [10347]~P45(x103472,x103477,x103473,x103476,x103471,f318(f318(x103473,x103475),x103474))+E(f318(f318(x103473,f792(x103474,x103475,x103471,x103476,x103473,x103477,x103472)),f801(x103474,x103475,x103471,x103476,x103473,x103477,x103472)),f318(f318(x103473,x103475),x103474))+E(x103471,f179(f927(x103472,a918)))
% 202.84/202.78 [10348]~P45(x103487,x103486,x103481,x103484,x103485,f318(f318(x103481,x103482),x103483))+E(f318(f318(x103481,f792(x103483,x103482,x103485,x103484,x103481,x103486,x103487)),f801(x103483,x103482,x103485,x103484,x103481,x103486,x103487)),f318(f318(x103481,x103482),x103483))+E(f318(f318(x103481,x103482),x103483),x103484)
% 202.84/202.78 [9407]~P36(x94071,x94072,x94073,x94075,x94077)+P36(x94071,x94072,x94073,f318(f318(f142(x94071),x94074),x94075),f318(f318(f142(x94072),x94076),x94077))+~P1(f318(f318(x94073,x94074),x94076))
% 202.84/202.78 [9425]P36(x94251,x94252,x94253,x94254,x94255)+~P36(x94251,x94252,x94253,f318(f318(f125(x94251),x94256),x94254),f318(f318(f125(x94252),x94257),x94255))+~E(f318(f180(f921(x94251)),x94256),f318(f180(f921(x94252)),x94257))
% 202.84/202.78 [9426]P36(x94261,x94262,x94263,x94264,x94265)+~P36(x94261,x94262,x94263,f318(f318(f125(x94261),x94264),x94266),f318(f318(f125(x94262),x94265),x94267))+~E(f318(f180(f921(x94261)),x94264),f318(f180(f921(x94262)),x94265))
% 202.84/202.78 [9640]~P36(x96401,x96402,x96403,x96405,x96407)+~P36(x96401,x96402,x96403,x96404,x96406)+P36(x96401,x96402,x96403,f318(f318(f125(x96401),x96404),x96405),f318(f318(f125(x96402),x96406),x96407))
% 202.84/202.78 [9992]~P1(f318(f60(x99921,x99924,x99925,x99926,x99923),x99927))+P1(f318(f60(x99921,x99924,x99925,x99926,f318(f318(f300(x99921),x99922),x99923)),f318(f318(x99925,x99922),x99927)))+P1(f318(f318(f320(x99921),x99922),x99923))
% 202.84/202.78 [10375]~P45(x103752,x103757,x103756,x103755,x103751,f318(f318(x103756,x103754),x103753))+E(x103751,f179(f927(x103752,a918)))+P1(f318(f318(f320(x103752),f792(x103753,x103754,x103751,x103755,x103756,x103757,x103752)),x103751))
% 202.84/202.78 [10376]~P45(x103765,x103767,x103761,x103764,x103766,f318(f318(x103761,x103762),x103763))+E(f318(f318(x103761,x103762),x103763),x103764)+P1(f318(f318(f320(x103765),f792(x103763,x103762,x103766,x103764,x103761,x103767,x103765)),x103766))
% 202.84/202.78 [10467]E(f318(f318(f243(x104671,x104672),x104673),x104674),f318(f318(f243(x104671,x104672),x104675),x104676))+P1(f318(f318(f320(f926(f926(x104671,x104672),f926(x104671,x104672))),f318(f318(f243(f926(x104671,x104672),f926(x104671,x104672)),f318(f318(f243(x104671,x104672),f856(x104677,x104674,x104673,x104676,x104675,x104672,x104671)),f857(x104677,x104674,x104673,x104676,x104675,x104672,x104671))),f318(f318(f243(x104671,x104672),x104673),x104674))),f298(f926(x104671,x104672),x104677)))+~P1(f318(f318(f320(f926(f926(x104671,x104672),f926(x104671,x104672))),f318(f318(f243(f926(x104671,x104672),f926(x104671,x104672)),f318(f318(f243(x104671,x104672),x104675),x104676)),f318(f318(f243(x104671,x104672),x104673),x104674))),f298(f926(x104671,x104672),x104677)))
% 202.84/202.78 [9101]~P22(x91014,x91015,x91016,x91017,x91011)+~P1(f318(f55(x91015),x91013))+E(f318(f318(x91011,x91012),x91013),f318(f318(f318(f59(x91014,x91015,x91016),x91012),x91017),x91013))
% 202.84/202.78 [9102]~P10(x91024,x91025,x91026,x91027,x91021)+~P1(f318(f55(x91025),x91023))+E(f318(f318(x91021,x91022),x91023),f318(f318(f318(f59(x91024,x91025,x91026),x91022),x91027),x91023))
% 202.84/202.78 [9887]~P24(x98873,x98874,x98875,x98877,x98876,x98871)+~P1(f318(f55(x98874),x98872))+E(f318(x98871,x98872),f318(f318(f318(f59(x98873,x98874,x98875),x98876),x98877),x98872))
% 202.84/202.78 [10044]P45(x100441,x100442,x100443,x100444,x100445,f318(f318(x100443,x100446),x100447))+~P45(x100441,x100442,x100443,x100444,f318(f318(f3(f927(x100441,a918)),x100445),f318(f318(f300(x100441),x100446),f179(f927(x100441,a918)))),x100447)+~P1(f318(f318(f320(x100441),x100446),x100445))
% 202.84/202.78 [10400]P1(f318(f318(x104007,f793(x104004,x104005,x104001,x104006,x104003,x104002,x104007)),f794(x104004,x104005,x104001,x104006,x104003,x104002,x104007)))+~P1(f318(f318(x104007,f318(f247(x104002,x104003),x104006)),f318(f242(x104002,x104003),x104006)))+P1(f318(x104001,f318(f318(f248(x104002,x104003,x104004),x104005),x104006)))
% 202.84/202.78 [10410]~P45(x104102,x104103,x104104,x104105,x104101,f318(f318(x104104,x104107),x104106))+P45(x104102,x104103,x104104,x104105,f318(f318(f3(f927(x104102,a918)),x104101),f318(f318(f300(x104102),f792(x104106,x104107,x104101,x104105,x104104,x104103,x104102)),f179(f927(x104102,a918)))),f801(x104106,x104107,x104101,x104105,x104104,x104103,x104102))+E(x104101,f179(f927(x104102,a918)))
% 202.84/202.78 [10411]~P45(x104115,x104116,x104111,x104114,x104117,f318(f318(x104111,x104112),x104113))+P45(x104115,x104116,x104111,x104114,f318(f318(f3(f927(x104115,a918)),x104117),f318(f318(f300(x104115),f792(x104113,x104112,x104117,x104114,x104111,x104116,x104115)),f179(f927(x104115,a918)))),f801(x104113,x104112,x104117,x104114,x104111,x104116,x104115))+E(f318(f318(x104111,x104112),x104113),x104114)
% 202.84/202.78 [10433]~P1(f318(x104331,f318(f318(x104335,f794(x104334,x104335,x104331,x104336,x104333,x104332,x104337)),f793(x104334,x104335,x104331,x104336,x104333,x104332,x104337))))+~P1(f318(f318(x104337,f318(f247(x104332,x104333),x104336)),f318(f242(x104332,x104333),x104336)))+P1(f318(x104331,f318(f318(f248(x104332,x104333,x104334),x104335),x104336)))
% 202.92/202.78 [9719]P1(f318(f318(f225(f927(f926(x97191,x97192),a918)),f318(f318(f280(x97191,x97193,x97192),x97194),x97195)),f318(f318(f280(x97191,x97193,x97192),x97196),x97197)))+~P1(f318(f318(f225(f927(f926(x97193,x97192),a918)),x97195),x97197))+~P1(f318(f318(f225(f927(f926(x97191,x97193),a918)),x97194),x97196))
% 202.92/202.78 [10461]E(f318(f318(f243(x104611,x104612),x104613),x104614),f318(f318(f243(x104611,x104612),x104615),x104616))+~P1(f318(f318(f320(f926(f926(x104611,x104612),f926(x104611,x104612))),f318(f318(f243(f926(x104611,x104612),f926(x104611,x104612)),f318(f318(f243(x104611,x104612),x104613),x104614)),f318(f318(f243(x104611,x104612),x104615),x104616))),f298(f926(x104611,x104612),x104617)))+P1(f318(f318(f320(f926(f926(x104611,x104612),f926(x104611,x104612))),f318(f318(f243(f926(x104611,x104612),f926(x104611,x104612)),f318(f318(f243(x104611,x104612),x104613),x104614)),f318(f318(f243(x104611,x104612),f856(x104617,x104616,x104615,x104614,x104613,x104612,x104611)),f857(x104617,x104616,x104615,x104614,x104613,x104612,x104611)))),x104617))
% 202.92/202.78 [10055]~P1(f318(f318(f320(x100551),x100556),x100555))+P1(f318(f60(x100551,x100552,x100553,x100554,x100555),f318(f318(x100553,x100556),x100557)))+~P1(f318(f60(x100551,x100552,x100553,x100554,f318(f318(f3(f927(x100551,a918)),x100555),f318(f318(f300(x100551),x100556),f179(f927(x100551,a918))))),x100557))
% 202.92/202.78 [10474]~P148(x104741)+~P25(f926(x104742,x104743),x104741,f318(f248(x104742,x104743,x104741),f318(f318(f9(x104742,f927(x104743,x104741),f927(x104743,x104741)),f318(f318(f10(f927(x104741,x104741),f927(f927(x104743,x104741),f927(x104743,x104741)),x104742),f10(x104741,x104741,x104743)),f318(f318(f10(x104741,f927(x104741,x104741),x104742),f74(x104741)),x104744))),x104745)),f318(f318(f245(x104742,x104743),x104746),f318(f18(f927(x104743,a918),x104742),x104747)))+E(f318(f318(f8(x104741,x104741),f25(x104741)),f318(f253(x104741),f318(f318(f10(f927(x104742,a918),a918,x104741),f80(x104742)),f318(f318(f10(f927(x104742,f927(x104743,a918)),f927(x104742,a918),x104741),f318(f10(f927(x104743,a918),a918,x104742),f80(x104743))),f318(f318(f9(x104741,f927(x104742,f927(x104743,a918)),f927(x104742,f927(x104743,a918))),f318(f318(f10(f927(x104742,f927(f927(x104743,a918),f927(x104743,a918))),f927(f927(x104742,f927(x104743,a918)),f927(x104742,f927(x104743,a918))),x104741),f20(x104742,f927(x104743,a918),f927(x104743,a918))),f318(f318(f10(f927(x104742,f927(x104743,f927(a918,a918))),f927(x104742,f927(f927(x104743,a918),f927(x104743,a918))),x104741),f318(f10(f927(x104743,f927(a918,a918)),f927(f927(x104743,a918),f927(x104743,a918)),x104742),f20(x104743,a918,a918))),f318(f318(f10(f927(x104742,f927(x104743,a918)),f927(x104742,f927(x104743,f927(a918,a918))),x104741),f318(f10(f927(x104743,a918),f927(x104743,f927(a918,a918)),x104742),f318(f10(a918,f927(a918,a918),x104743),a316))),f318(f318(f9(x104741,f927(x104742,f927(x104743,x104741)),f927(x104742,f927(x104743,a918))),f318(f318(f10(f927(f927(x104743,x104741),f927(x104743,a918)),f927(f927(x104742,f927(x104743,x104741)),f927(x104742,f927(x104743,a918))),x104741),f10(f927(x104743,x104741),f927(x104743,a918),x104742)),f318(f318(f10(f927(x104741,a918),f927(f927(x104743,x104741),f927(x104743,a918)),x104741),f10(x104741,a918,x104743)),a315))),f318(f318(f9(x104742,f927(x104743,x104741),f927(x104743,x104741)),f318(f318(f10(f927(x104741,x104741),f927(f927(x104743,x104741),f927(x104743,x104741)),x104742),f10(x104741,x104741,x104743)),f318(f318(f10(x104741,f927(x104741,x104741),x104742),f74(x104741)),x104744))),x104745)))))),f318(f318(f9(x104742,f927(x104743,a918),f927(x104743,a918)),f318(f318(f10(f927(a918,a918),f927(f927(x104743,a918),f927(x104743,a918)),x104742),f10(a918,a918,x104743)),f318(f318(f10(a918,f927(a918,a918),x104742),a316),f318(f318(f9(x104742,f927(x104742,a918),a918),f320(x104742)),x104746)))),f318(f318(f9(x104743,f927(x104743,a918),a918),f320(x104743)),x104747))))))),f318(f318(f74(x104741),f318(f318(f8(x104742,x104741),x104744),x104746)),f318(f318(f8(x104743,x104741),x104745),x104747)))
% 202.92/202.78 [9723]~P26(x97231,x97233,x97235,x97236,x97238)+~P26(x97233,x97232,x97234,x97238,x97237)+P26(x97231,x97232,f318(f66(x97233,x97232,x97231,x97234),x97235),x97236,x97237)
% 202.92/202.78 [9752]P26(x97521,x97522,x97523,x97524,x97525)+~P26(x97526,x97521,x97527,x97528,x97524)+~P26(x97526,x97522,f318(f66(x97521,x97522,x97526,x97523),x97527),x97528,x97525)
% 202.92/202.78 [9885]~P1(f318(f318(x98854,x98856),x98858))+~P1(f318(f318(x98855,x98858),x98857))+P1(f318(f318(f244(x98851,x98852,x98853,x98854,x98855),x98856),x98857))
% 202.92/202.78 [9478]~P20(x94788,x94781,x94783,x94785)+~P1(f318(f55(x94788),x94786))+E(f318(f66(x94781,x94781,x94782,f318(x94783,x94784)),f318(f66(x94781,x94781,x94782,f318(x94785,x94786)),x94787)),f318(f66(x94781,x94781,x94782,f318(x94785,x94786)),f318(f66(x94781,x94781,x94782,f318(x94783,x94784)),x94787)))
% 202.92/202.78 [9875]~P23(x98757,x98752,x98755,x98758,x98756,x98751)+~P1(f318(f55(x98752),x98754))+E(f318(x98751,f318(f318(f300(x98752),x98753),x98754)),f318(f318(x98755,f318(x98756,x98753)),f318(x98751,x98754)))
% 202.92/202.78 [9999]~P25(x99992,x99994,x99996,x99998)+~P25(x99991,x99993,x99995,x99997)+P25(f926(x99991,x99992),f926(x99993,x99994),f249(x99991,x99993,x99992,x99994,x99995,x99996),f318(f318(f245(x99991,x99992),x99997),f318(f18(f927(x99992,a918),x99991),x99998)))
% 202.92/202.78 [9667]P1(f318(f318(f320(f926(x96671,x96672)),f318(f318(f243(x96671,x96672),x96673),x96674)),f318(f318(f280(x96671,x96675,x96672),x96676),x96677)))+~P1(f318(f318(f320(f926(x96671,x96675)),f318(f318(f243(x96671,x96675),x96673),x96678)),x96676))+~P1(f318(f318(f320(f926(x96675,x96672)),f318(f318(f243(x96675,x96672),x96678),x96674)),x96677))
% 202.92/202.78 [9856]~P1(f318(f318(f225(f927(f926(x98563,x98562),a918)),x98565),f318(f318(f245(x98563,x98562),x98568),f318(f18(f927(x98562,a918),x98563),x98567))))+~P1(f318(f318(f225(f927(f926(x98561,x98563),a918)),x98564),f318(f318(f245(x98561,x98563),x98566),f318(f18(f927(x98563,a918),x98561),x98568))))+P1(f318(f318(f225(f927(f926(x98561,x98562),a918)),f318(f318(f280(x98561,x98563,x98562),x98564),x98565)),f318(f318(f245(x98561,x98562),x98566),f318(f18(f927(x98562,a918),x98561),x98567))))
% 202.92/202.78 [9910]~E(x99103,x99105)+P1(f318(f318(f320(f926(f926(x99101,x99102),f926(x99101,x99102))),f318(f318(f243(f926(x99101,x99102),f926(x99101,x99102)),f318(f318(f243(x99101,x99102),x99103),x99104)),f318(f318(f243(x99101,x99102),x99105),x99106))),f311(x99101,x99102,x99107,x99108)))+~P1(f318(f318(f320(f926(x99102,x99102)),f318(f318(f243(x99102,x99102),x99104),x99106)),x99108))
% 202.92/202.78 [10019]E(x100191,x100192)+~P1(f318(f318(f320(f926(f926(x100193,x100195),f926(x100193,x100195))),f318(f318(f243(f926(x100193,x100195),f926(x100193,x100195)),f318(f318(f243(x100193,x100195),x100191),x100196)),f318(f318(f243(x100193,x100195),x100192),x100197))),f311(x100193,x100195,x100194,x100198)))+P1(f318(f318(f320(f926(x100193,x100193)),f318(f318(f243(x100193,x100193),x100191),x100192)),x100194))
% 202.92/202.78 [10034]~P1(f318(f318(f320(f926(f926(x100341,x100345),f926(x100341,x100345))),f318(f318(f243(f926(x100341,x100345),f926(x100341,x100345)),f318(f318(f243(x100341,x100345),x100342),x100346)),f318(f318(f243(x100341,x100345),x100343),x100347))),f311(x100341,x100345,x100344,x100348)))+P1(f318(f318(f320(f926(x100341,x100341)),f318(f318(f243(x100341,x100341),x100342),x100343)),x100344))+P1(f318(f318(f320(f926(x100345,x100345)),f318(f318(f243(x100345,x100345),x100346),x100347)),x100348))
% 202.92/202.78 [9946]~P24(x99467,x99465,x99461,x99468,x99462,x99464)+~P1(f318(f55(x99465),x99466))+E(f318(f318(x99461,f318(x99462,x99463)),f318(x99464,f318(f318(f3(f927(x99465,a918)),x99466),f318(f318(f300(x99465),x99463),f179(f927(x99465,a918)))))),f318(x99464,f318(f318(f300(x99465),x99463),x99466)))
% 202.92/202.78 [9431]~P1(f318(f318(f318(x94315,x94318),x94316),x94317))+~P1(f318(f318(f320(x94311),x94318),x94314))+P1(f318(f318(f318(f318(f33(x94311,f927(x94312,f927(x94313,a918))),x94314),x94315),x94316),x94317))
% 202.92/202.78 [9651]P1(f318(f318(f318(x96511,x96512),x96513),x96514))+~P1(f318(f318(f320(x96515),x96512),x96516))+~P1(f318(f318(f318(f318(f34(x96515,f927(x96517,f927(x96518,a918))),x96516),x96511),x96513),x96514))
% 202.92/202.78 [9849]~P22(x98493,x98492,x98494,x98498,x98491)+~P1(f318(f55(x98492),x98497))+E(f318(f318(x98491,f318(f318(f20(x98492,x98493,x98493),f318(f318(f10(x98493,f927(x98493,x98493),x98492),x98494),x98495)),x98496)),x98497),f318(f318(x98494,f318(f318(x98491,x98495),x98497)),f318(f318(x98491,x98496),x98497)))
% 202.92/202.78 [10120]~E(f318(f301(x101202,x101204,x101206),x101208),x1012010)+~E(f318(f301(x101201,x101203,x101205),x101207),x101209)+E(f318(f301(f926(x101201,x101202),f926(x101203,x101204),f249(x101201,x101203,x101202,x101204,x101205,x101206)),f318(f318(f245(x101201,x101202),x101207),f318(f18(f927(x101202,a918),x101201),x101208))),f318(f318(f245(x101203,x101204),x101209),f318(f18(f927(x101204,a918),x101203),x1012010)))
% 202.92/202.78 [5031]~P51(x50311,x50312)+~P53(x50311,x50312)+~P54(x50311,x50312)+P7(x50311,x50312)
% 202.92/202.78 [4987]~P4(x49872)+~P13(x49872,x49871)+P13(x49872,f105(x49872,x49871))+E(x49871,f104(x49872))
% 202.92/202.78 [4988]~P4(x49882)+~P13(x49882,x49881)+P13(x49882,f711(x49881,x49882))+E(x49881,f104(x49882))
% 202.92/202.78 [5230]~P5(x52302)+E(f12(x52302,x52301),f32(x52302,x52301))+E(x52301,f179(f927(x52302,a918)))+~P1(f318(f55(x52302),x52301))
% 202.92/202.78 [5231]~P5(x52312)+E(f15(x52312,x52311),f31(x52312,x52311))+E(x52311,f179(f927(x52312,a918)))+~P1(f318(f55(x52312),x52311))
% 202.92/202.78 [5394]~P4(x53942)+~P13(x53942,x53941)+E(x53941,f104(x53942))+E(f318(f318(f142(x53942),f731(x53941,x53942)),f711(x53941,x53942)),x53941)
% 202.92/202.78 [6210]~P104(x62102)+E(x62101,f179(f927(x62102,a918)))+P1(f318(f318(f225(x62102),f12(x62102,x62101)),f15(x62102,x62101)))+~P1(f318(f55(x62102),x62101))
% 202.92/202.78 [6221]~P43(x62212)+~P43(x62211)+E(x62211,x62212)+~E(f318(f301(a1,a920,a95),x62211),f318(f301(a1,a920,a95),x62212))
% 202.92/202.78 [9287]~P116(x92871)+~P1(f318(f318(f320(x92871),x92872),f100(x92871)))+P1(f318(f318(f226(x92871),f318(f318(f73(x92871),f318(f318(f73(x92871),f71(x92871)),x92872)),x92872)),f2(x92871)))+~P1(f318(f318(f226(x92871),x92872),f2(x92871)))
% 202.92/202.78 [9533]~P116(x95331)+~P1(f318(f318(f320(x95331),x95332),f100(x95331)))+~P1(f318(f318(f226(x95331),f318(f318(f73(x95331),f318(f318(f73(x95331),f71(x95331)),x95332)),x95332)),f2(x95331)))+P1(f318(f318(f226(x95331),x95332),f2(x95331)))
% 202.92/202.78 [5046]~P121(x50462)+~P148(x50462)+E(x50461,f2(a920))+E(f318(f318(f235(x50462),f2(x50462)),x50461),f2(x50462))
% 202.92/202.78 [5049]~P121(x50491)+~P148(x50491)+~E(x50492,f2(a920))+E(f318(f318(f235(x50491),f2(x50491)),x50492),f71(x50491))
% 202.92/202.78 [5216]~P145(x52162)+E(x52161,f71(x52162))+E(x52161,f318(f72(x52162),f71(x52162)))+~E(f318(f318(f74(x52162),x52161),x52161),f71(x52162))
% 202.92/202.78 [5470]~P96(x54702)+E(x54701,f2(x54702))+E(f75(x54702,x54701),f318(f72(x54702),f71(x54702)))+P1(f318(f318(f226(x54702),f2(x54702)),x54701))
% 202.92/202.78 [5709]~P96(x57092)+E(f75(x57092,x57091),f71(x57092))+E(x57091,f2(x57092))+~P1(f318(f318(f226(x57092),f2(x57092)),x57091))
% 202.92/202.78 [5718]E(x57181,x57182)+~E(f318(f94(a920),x57181),f318(f94(a920),x57182))+P1(f318(a184,f318(f94(a1),x57182)))+P1(f318(a184,f318(f94(a1),x57181)))
% 202.92/202.78 [5770]~P99(x57701)+~E(x57702,f2(x57701))+E(f318(f318(f73(x57701),x57702),x57702),f2(x57701))+~P1(f318(f318(f320(x57701),x57702),f100(x57701)))
% 202.92/202.78 [5810]E(x58101,f2(a1))+~E(f318(f318(f30(a1),x58102),x58101),f2(a1))+P1(f318(f318(f226(a1),x58101),x58102))+P1(f318(f318(f226(a1),x58102),x58101))
% 202.92/202.78 [5840]E(x58401,f2(a1))+~E(f318(f318(f30(a1),x58402),x58401),f2(a1))+P1(f318(f318(f225(a1),x58402),f2(a1)))+P1(f318(f318(f226(a1),x58402),x58401))
% 202.92/202.78 [5874]E(x58741,f2(a1))+~E(f318(f318(f30(a1),x58742),x58741),f2(a1))+P1(f318(f318(f225(a1),f2(a1)),x58742))+P1(f318(f318(f226(a1),x58741),x58742))
% 202.92/202.78 [5909]~P99(x59092)+E(x59091,f2(x59092))+~E(f318(f318(f73(x59092),x59091),x59091),f2(x59092))+~P1(f318(f318(f320(x59092),x59091),f100(x59092)))
% 202.92/202.78 [5971]E(f318(f94(a920),x59711),f318(f94(a920),x59712))+~E(f318(f94(a1),x59712),f2(a1))+P1(f318(a184,f318(f94(a1),x59712)))+~P1(f318(a184,f318(f94(a1),x59711)))
% 202.92/202.78 [6001]~E(f318(f94(a920),x60012),f318(f94(a920),x60011))+E(f318(f94(a1),x60011),f2(a1))+P1(f318(a184,f318(f94(a1),x60011)))+~P1(f318(a184,f318(f94(a1),x60012)))
% 202.92/202.78 [6012]~P4(x60122)+E(x60121,f179(f927(x60122,a918)))+~P1(f318(f55(x60122),x60121))+P1(f318(f318(f320(x60122),f16(x60122,x60121)),x60121))
% 202.92/202.78 [6013]~P4(x60132)+E(x60131,f179(f927(x60132,a918)))+~P1(f318(f55(x60132),x60131))+P1(f318(f318(f320(x60132),f17(x60132,x60131)),x60131))
% 202.92/202.78 [6187]~P116(x61871)+~P100(x61871)+P1(f318(f318(f225(x61871),f2(x61871)),f318(f94(x61871),x61872)))+~P1(f318(f318(f225(a1),a76),x61872))
% 202.92/202.78 [6188]~P116(x61881)+~P100(x61881)+P1(f318(f318(f226(x61881),f2(x61881)),f318(f94(x61881),x61882)))+~P1(f318(f318(f226(a1),a76),x61882))
% 202.92/202.78 [6209]~P116(x62091)+~P100(x62091)+E(f318(f69(x62091),f318(f94(x62091),x62092)),f318(f94(x62091),x62092))+P1(f318(f318(f226(x62091),f318(f94(x62091),x62092)),f2(x62091)))
% 202.92/202.78 [6245]E(x62451,x62452)+~E(f318(a95,x62451),f318(a95,x62452))+~P1(f318(f318(f225(a1),f2(a1)),x62452))+~P1(f318(f318(f225(a1),f2(a1)),x62451))
% 202.92/202.78 [6443]~P100(x64432)+~P116(x64432)+~P1(f318(f318(f225(x64432),f2(x64432)),f318(f94(x64432),x64431)))+P1(f318(f318(f225(a1),a76),x64431))
% 202.92/202.78 [6444]~P100(x64442)+~P116(x64442)+~P1(f318(f318(f226(x64442),f2(x64442)),f318(f94(x64442),x64441)))+P1(f318(f318(f226(a1),a76),x64441))
% 202.92/202.78 [6449]~P116(x64491)+~P100(x64491)+P1(f318(f318(f225(x64491),f318(f94(x64491),x64492)),f2(x64491)))+~P1(f318(f318(f225(a1),x64492),a76))
% 202.92/202.78 [6450]~P116(x64501)+~P100(x64501)+P1(f318(f318(f226(x64501),f318(f94(x64501),x64502)),f2(x64501)))+~P1(f318(f318(f226(a1),x64502),a76))
% 202.92/202.78 [6774]~P100(x67742)+~P116(x67742)+~P1(f318(f318(f225(x67742),f318(f94(x67742),x67741)),f2(x67742)))+P1(f318(f318(f225(a1),x67741),a76))
% 202.92/202.78 [6775]~P100(x67752)+~P116(x67752)+~P1(f318(f318(f226(x67752),f318(f94(x67752),x67751)),f2(x67752)))+P1(f318(f318(f226(a1),x67751),a76))
% 202.92/202.78 [6867]~P116(x68671)+~P100(x68671)+E(f318(f69(x68671),f318(f94(x68671),x68672)),f318(f72(x68671),f318(f94(x68671),x68672)))+~P1(f318(f318(f226(x68671),f318(f94(x68671),x68672)),f2(x68671)))
% 202.92/202.78 [6887]E(f318(f94(a920),x68871),f318(f94(a920),x68872))+~E(f318(f94(a1),x68872),f2(a1))+~P1(f318(f318(f225(a1),f318(f94(a1),x68871)),f2(a1)))+~P1(f318(a184,f318(f94(a1),x68871)))
% 202.92/202.78 [7773]~P4(x77732)+E(x77731,f179(f927(x77732,a918)))+~P1(f318(f55(x77732),x77731))+P1(f318(f318(f225(x77732),f13(x77732,f223(x77732),x77731)),f14(x77732,f224(x77732),x77731)))
% 202.92/202.78 [8093]~P6(x80931)+~P43(x80932)+P1(f318(f318(f320(a1),x80931),x80932))+~P1(f318(f318(f320(a920),f318(a95,x80931)),f318(f301(a1,a920,a95),x80932)))
% 202.92/202.78 [6007]~P146(x60072)+E(x60071,f2(a1))+E(f318(f72(x60072),f318(f93(x60072),f318(f72(a1),x60071))),f318(f93(x60072),x60071))+~P1(f318(f318(f226(a1),x60071),f2(a1)))
% 202.92/202.78 [6086]~P99(x60861)+~P100(x60861)+~P30(x60861,f318(f94(x60861),x60862))+P30(x60861,f318(f94(x60861),f318(f318(f73(a1),x60862),x60862)))
% 202.92/202.78 [6432]~P86(x64322)+E(x64321,f179(f927(x64322,a918)))+E(f17(x64322,f318(f301(x64322,x64322,f72(x64322)),x64321)),f318(f72(x64322),f16(x64322,x64321)))+~P1(f318(f55(x64322),x64321))
% 202.92/202.78 [6433]~P86(x64332)+E(x64331,f179(f927(x64332,a918)))+E(f16(x64332,f318(f301(x64332,x64332,f72(x64332)),x64331)),f318(f72(x64332),f17(x64332,x64331)))+~P1(f318(f55(x64332),x64331))
% 202.92/202.78 [6466]~P99(x64661)+~P100(x64661)+P30(x64661,f318(f94(x64661),x64662))+~P30(x64661,f318(f94(x64661),f318(f318(f73(a1),x64662),x64662)))
% 202.92/202.78 [6559]E(x65591,f2(a1))+E(f318(a45,f44(f318(f72(a1),x65591),f318(f72(a1),x65592))),f40(x65591,x65592))+P1(f318(f318(f225(a1),f2(a1)),x65592))+~P1(f318(f318(f225(a1),f2(a1)),x65591))
% 202.92/202.78 [8884]~P43(x88842)+~P43(x88841)+P1(f318(f318(f226(f927(a920,a918)),f318(f301(a1,a920,a95),x88841)),f318(f301(a1,a920,a95),x88842)))+~P1(f318(f318(f226(f927(a1,a918)),x88841),x88842))
% 202.92/202.78 [9119]~E(f736(x91192,x91191),f734(x91192,x91191))+~P1(f318(f128(x91191),f735(x91192,x91191)))+~P1(f318(f128(f921(x91191)),x91192))+P1(f318(f128(x91191),f318(f133(f921(x91191),f921(x91191),f125(x91191),f104(x91191)),x91192)))
% 202.92/202.78 [9206]~P43(x92062)+~P43(x92061)+~P1(f318(f318(f225(f927(a920,a918)),f318(f301(a1,a920,a95),x92061)),f318(f301(a1,a920,a95),x92062)))+P1(f318(f318(f225(f927(a1,a918)),x92061),x92062))
% 202.92/202.78 [9207]~P43(x92072)+~P43(x92071)+~P1(f318(f318(f226(f927(a920,a918)),f318(f301(a1,a920,a95),x92071)),f318(f301(a1,a920,a95),x92072)))+P1(f318(f318(f226(f927(a1,a918)),x92071),x92072))
% 202.92/202.78 [9213]~E(f736(x92132,x92131),f734(x92132,x92131))+~P1(f318(f128(f921(x92131)),x92132))+P1(f318(f128(x92131),f318(f133(f921(x92131),f921(x92131),f125(x92131),f104(x92131)),x92132)))+P1(f318(f318(f320(f921(x92131)),f735(x92132,x92131)),f318(f163(f921(x92131)),x92132)))
% 202.92/202.78 [9255]~P1(f318(f128(x92551),f735(x92552,x92551)))+~P1(f318(f128(f921(x92551)),x92552))+P1(f318(f128(x92551),f318(f133(f921(x92551),f921(x92551),f125(x92551),f104(x92551)),x92552)))+P1(f318(f318(f320(f921(x92551)),f734(x92552,x92551)),f318(f163(f921(x92551)),x92552)))
% 202.92/202.78 [9256]~P1(f318(f128(x92561),f735(x92562,x92561)))+~P1(f318(f128(f921(x92561)),x92562))+P1(f318(f128(x92561),f318(f133(f921(x92561),f921(x92561),f125(x92561),f104(x92561)),x92562)))+P1(f318(f318(f320(f921(x92561)),f736(x92562,x92561)),f318(f163(f921(x92561)),x92562)))
% 202.92/202.78 [9333]~P1(f318(f128(f921(x93331)),x93332))+P1(f318(f128(x93331),f318(f133(f921(x93331),f921(x93331),f125(x93331),f104(x93331)),x93332)))+P1(f318(f318(f320(f921(x93331)),f734(x93332,x93331)),f318(f163(f921(x93331)),x93332)))+P1(f318(f318(f320(f921(x93331)),f735(x93332,x93331)),f318(f163(f921(x93331)),x93332)))
% 202.92/202.78 [9334]~P1(f318(f128(f921(x93341)),x93342))+P1(f318(f128(x93341),f318(f133(f921(x93341),f921(x93341),f125(x93341),f104(x93341)),x93342)))+P1(f318(f318(f320(f921(x93341)),f736(x93342,x93341)),f318(f163(f921(x93341)),x93342)))+P1(f318(f318(f320(f921(x93341)),f735(x93342,x93341)),f318(f163(f921(x93341)),x93342)))
% 202.92/202.78 [9348]~E(f318(f318(f92(f927(x93481,a918)),f318(f163(x93481),f734(x93482,x93481))),f318(f163(x93481),f736(x93482,x93481))),f179(f927(x93481,a918)))+~P1(f318(f128(x93481),f735(x93482,x93481)))+~P1(f318(f128(f921(x93481)),x93482))+P1(f318(f128(x93481),f318(f133(f921(x93481),f921(x93481),f125(x93481),f104(x93481)),x93482)))
% 202.92/202.78 [9413]~E(f318(f318(f92(f927(x94131,a918)),f318(f163(x94131),f734(x94132,x94131))),f318(f163(x94131),f736(x94132,x94131))),f179(f927(x94131,a918)))+~P1(f318(f128(f921(x94131)),x94132))+P1(f318(f128(x94131),f318(f133(f921(x94131),f921(x94131),f125(x94131),f104(x94131)),x94132)))+P1(f318(f318(f320(f921(x94131)),f735(x94132,x94131)),f318(f163(f921(x94131)),x94132)))
% 202.92/202.78 [9692]E(x96921,f2(a1))+E(x96922,f2(a1))+E(f318(f318(f79(a1,f926(a1,a1)),f318(f318(a208,x96922),x96921)),f318(f318(f20(a1,a1,f926(a1,a1)),f318(f318(f10(a1,f927(a1,f926(a1,a1)),a1),f243(a1,a1)),f318(f30(a1),x96922))),f318(f30(a1),x96921))),f206(x96922,x96921))+P1(f318(f318(f226(a1),x96921),f2(a1)))
% 202.92/202.78 [8424]~P100(x84242)+~P116(x84242)+~P1(f318(f318(f225(x84242),f318(f94(x84242),x84241)),f71(x84242)))+P1(f318(f318(f225(a1),x84241),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))
% 202.92/202.78 [8425]~P100(x84252)+~P116(x84252)+~P1(f318(f318(f226(x84252),f318(f94(x84252),x84251)),f71(x84252)))+P1(f318(f318(f226(a1),x84251),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))
% 202.92/202.78 [8700]~P116(x87001)+~P100(x87001)+P1(f318(f318(f225(x87001),f318(f94(x87001),x87002)),f71(x87001)))+~P1(f318(f318(f225(a1),x87002),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))
% 202.92/202.78 [8701]~P116(x87011)+~P100(x87011)+P1(f318(f318(f226(x87011),f318(f94(x87011),x87012)),f71(x87011)))+~P1(f318(f318(f226(a1),x87012),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))
% 202.92/202.78 [8912]~P100(x89122)+~P116(x89122)+~P1(f318(f318(f225(x89122),f71(x89122)),f318(f94(x89122),x89121)))+P1(f318(f318(f225(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),x89121))
% 202.92/202.78 [8913]~P100(x89132)+~P116(x89132)+~P1(f318(f318(f226(x89132),f71(x89132)),f318(f94(x89132),x89131)))+P1(f318(f318(f226(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),x89131))
% 202.92/202.78 [9293]~P116(x92931)+~P100(x92931)+P1(f318(f318(f225(x92931),f71(x92931)),f318(f94(x92931),x92932)))+~P1(f318(f318(f225(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),x92932))
% 202.92/202.78 [9294]~P116(x92941)+~P100(x92941)+P1(f318(f318(f226(x92941),f71(x92941)),f318(f94(x92941),x92942)))+~P1(f318(f318(f226(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),x92942))
% 202.92/202.78 [9822]~P145(x98222)+E(x98221,f71(x98222))+E(x98221,f318(f72(x98222),f71(x98222)))+~E(f318(f318(f235(x98222),x98221),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))),f71(x98222))
% 202.92/202.78 [10096]~P100(x100961)+~P76(x100961)+~P1(f318(f318(f226(x100961),f2(x100961)),x100962))+P1(f318(f318(f226(x100961),f2(x100961)),f318(f318(f282(x100961),x100962),f318(f94(x100961),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88))))))
% 202.92/202.78 [10148]~P100(x101481)+~P76(x101481)+P1(f318(f318(f226(x101481),f2(x101481)),x101482))+~P1(f318(f318(f226(x101481),f2(x101481)),f318(f318(f282(x101481),x101482),f318(f94(x101481),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88))))))
% 202.92/202.78 [10440]~P146(x104402)+E(x104401,f2(a1))+P1(f318(f318(f226(a1),x104401),f2(a1)))+E(f318(f318(f248(a1,a1,x104402),f318(f318(f9(a1,f927(a1,f927(x104402,x104402)),f927(a1,x104402)),f318(f318(f10(f927(f927(x104402,x104402),x104402),f927(f927(a1,f927(x104402,x104402)),f927(a1,x104402)),a1),f10(f927(x104402,x104402),x104402,a1)),f318(f318(f10(x104402,f927(f927(x104402,x104402),x104402),a1),f79(x104402,x104402)),f93(x104402)))),f318(f318(f9(a1,f927(x104402,x104402),f927(x104402,x104402)),f318(f318(f10(f927(x104402,f927(x104402,x104402)),f927(f927(x104402,x104402),f927(x104402,x104402)),a1),f20(x104402,x104402,x104402)),f318(f318(f9(a1,f927(x104402,x104402),f927(x104402,f927(x104402,x104402))),f318(f318(f10(f927(x104402,f927(x104402,x104402)),f927(f927(x104402,x104402),f927(x104402,f927(x104402,x104402))),a1),f10(x104402,f927(x104402,x104402),x104402)),f318(f318(f10(a918,f927(x104402,f927(x104402,x104402)),a1),f85(x104402)),f318(f318(f9(a1,a1,a918),a315),f2(a1))))),f318(f318(f20(x104402,x104402,x104402),f73(x104402)),f7(x104402))))),f318(f318(f9(x104402,x104402,x104402),f318(f318(f10(x104402,f927(x104402,x104402),x104402),f73(x104402)),f318(f318(f20(x104402,x104402,x104402),f73(x104402)),f7(x104402)))),f71(x104402))))),f40(x104401,f318(f94(a1),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88))))),f318(f93(x104402),x104401))
% 202.92/202.78 [5349]~P113(x53491)+~P113(x53492)+~P52(x53491,x53492,x53493)+P42(x53491,x53492,x53493)
% 202.92/202.78 [5479]~P40(x54791,x54793)+~P55(x54791,x54793)+~P56(x54791,x54792,x54793)+P8(x54791,x54792,x54793)
% 202.92/202.78 [5241]~P5(x52413)+~P42(x52413,x52413,x52411)+E(f318(x52411,x52412),x52412)+~E(x52412,f87(x52413,x52411))
% 202.92/202.78 [5242]~P5(x52423)+~P42(x52423,x52423,x52421)+E(f318(x52421,x52422),x52422)+~E(x52422,f86(x52423,x52421))
% 202.92/202.78 [5015]~P99(x50153)+~P100(x50153)+E(x50151,x50152)+~E(f318(f94(x50153),x50151),f318(f94(x50153),x50152))
% 202.92/202.78 [5489]~P53(x54891,x54892)+~P54(x54891,x54892)+P16(x54891,x54892)+~P1(f318(f318(x54892,x54893),x54893))
% 202.92/202.78 [5986]P16(x59862,x59861)+E(f318(x59861,f809(x59861)),f318(x59861,f810(x59861)))+P1(f318(f318(x59861,f809(x59861)),f810(x59861)))+~P1(f318(f318(x59861,x59863),x59863))
% 202.92/202.78 [6197]~P1(f318(x61971,x61972))+~P1(f318(x61971,x61973))+~P1(f318(f318(f225(a920),x61973),f882(x61972,x61971)))+P1(f318(x61971,f2(a920)))
% 202.92/202.78 [6265]P16(x62651,x62652)+P1(f318(f318(x62652,f809(x62652)),f809(x62652)))+P1(f318(f318(x62652,f809(x62652)),f810(x62652)))+~P1(f318(f318(x62652,x62653),x62653))
% 202.92/202.78 [6266]P16(x62661,x62662)+P1(f318(f318(x62662,f809(x62662)),f810(x62662)))+P1(f318(f318(x62662,f810(x62662)),f810(x62662)))+~P1(f318(f318(x62662,x62663),x62663))
% 202.92/202.78 [6625]P151(x66252,x66253,x66251)+E(x66251,f2(a1))+P1(f318(f318(f225(a1),f2(a1)),f867(x66251,x66253,x66252)))+P1(f318(f318(f226(a1),x66251),f2(a1)))
% 202.92/202.78 [6626]P152(x66262,x66263,x66261)+E(x66261,f2(a1))+P1(f318(f318(f225(a1),f2(a1)),f872(x66261,x66263,x66262)))+P1(f318(f318(f226(a1),x66261),f2(a1)))
% 202.92/202.78 [6751]P151(x67511,x67512,x67513)+~P1(f318(x67511,x67512))+P1(f318(f318(f225(a1),f2(a1)),f867(x67513,x67512,x67511)))+P1(f318(f318(f226(a1),x67513),f2(a1)))
% 202.92/202.78 [6780]P152(x67801,x67802,x67803)+P1(f318(f318(f225(a1),f2(a1)),f872(x67803,x67802,x67801)))+~P1(f318(x67801,f2(a1)))+P1(f318(f318(f226(a1),x67803),f2(a1)))
% 202.92/202.78 [6810]P151(x68102,x68103,x68101)+E(x68101,f2(a1))+~P1(f318(x68102,f867(x68101,x68103,x68102)))+P1(f318(f318(f226(a1),x68101),f2(a1)))
% 202.92/202.78 [6811]P152(x68112,x68113,x68111)+E(x68111,f2(a1))+~P1(f318(x68112,f873(x68111,x68113,x68112)))+P1(f318(f318(f226(a1),x68111),f2(a1)))
% 202.92/202.78 [6914]~P4(x69141)+~P5(x69141)+~P1(f318(f318(f226(x69141),x69142),f31(x69141,x69143)))+P1(f318(f318(f226(x69141),x69142),f531(x69143,x69142,x69141)))
% 202.92/202.78 [6924]P151(x69241,x69242,x69243)+~P1(f318(x69241,x69242))+~P1(f318(x69241,f867(x69243,x69242,x69241)))+P1(f318(f318(f226(a1),x69243),f2(a1)))
% 202.92/202.78 [6955]P152(x69551,x69552,x69553)+~P1(f318(x69551,f873(x69553,x69552,x69551)))+~P1(f318(x69551,f2(a1)))+P1(f318(f318(f226(a1),x69553),f2(a1)))
% 202.92/202.78 [7208]P151(x72082,x72083,x72081)+E(x72081,f2(a1))+P1(f318(f318(f225(a1),f2(a1)),f867(x72081,x72083,x72082)))+P1(f318(f318(f226(a1),x72081),f866(x72081,x72083,x72082)))
% 202.92/202.78 [7209]P152(x72092,x72093,x72091)+E(x72091,f2(a1))+P1(f318(f318(f225(a1),f2(a1)),f872(x72091,x72093,x72092)))+P1(f318(f318(f226(a1),x72091),f871(x72091,x72093,x72092)))
% 202.92/202.78 [7331]P151(x73311,x73312,x73313)+~P1(f318(x73311,x73312))+P1(f318(f318(f225(a1),f2(a1)),f867(x73313,x73312,x73311)))+P1(f318(f318(f226(a1),x73313),f866(x73313,x73312,x73311)))
% 202.92/202.78 [7352]P152(x73521,x73522,x73523)+P1(f318(f318(f225(a1),f2(a1)),f872(x73523,x73522,x73521)))+P1(f318(f318(f226(a1),x73523),f871(x73523,x73522,x73521)))+~P1(f318(x73521,f2(a1)))
% 202.92/202.78 [7386]P151(x73862,x73863,x73861)+E(x73861,f2(a1))+~P1(f318(x73862,f867(x73861,x73863,x73862)))+P1(f318(f318(f226(a1),x73861),f866(x73861,x73863,x73862)))
% 202.92/202.78 [7387]P152(x73872,x73873,x73871)+E(x73871,f2(a1))+~P1(f318(x73872,f873(x73871,x73873,x73872)))+P1(f318(f318(f226(a1),x73871),f871(x73871,x73873,x73872)))
% 202.92/202.78 [7432]P151(x74322,x74323,x74321)+E(x74321,f2(a1))+P1(f318(f318(f225(a1),f2(a1)),f867(x74321,x74323,x74322)))+~P1(f318(x74322,f866(x74321,x74323,x74322)))
% 202.92/202.78 [7433]P152(x74332,x74333,x74331)+E(x74331,f2(a1))+P1(f318(f318(f225(a1),f2(a1)),f872(x74331,x74333,x74332)))+~P1(f318(x74332,f874(x74331,x74333,x74332)))
% 202.92/202.78 [7527]P151(x75271,x75272,x75273)+~P1(f318(x75271,x75272))+~P1(f318(x75271,f867(x75273,x75272,x75271)))+P1(f318(f318(f226(a1),x75273),f866(x75273,x75272,x75271)))
% 202.92/202.78 [7542]P152(x75421,x75422,x75423)+~P1(f318(x75421,f873(x75423,x75422,x75421)))+P1(f318(f318(f226(a1),x75423),f871(x75423,x75422,x75421)))+~P1(f318(x75421,f2(a1)))
% 202.92/202.78 [7545]P151(x75451,x75452,x75453)+~P1(f318(x75451,x75452))+P1(f318(f318(f225(a1),f2(a1)),f867(x75453,x75452,x75451)))+~P1(f318(x75451,f866(x75453,x75452,x75451)))
% 202.92/202.78 [7562]P152(x75621,x75622,x75623)+P1(f318(f318(f225(a1),f2(a1)),f872(x75623,x75622,x75621)))+~P1(f318(x75621,f874(x75623,x75622,x75621)))+~P1(f318(x75621,f2(a1)))
% 202.92/202.78 [7563]~P113(x75632)+~P113(x75631)+P42(x75631,x75632,x75633)+P1(f318(f318(f225(x75631),f369(x75633,x75631,x75632)),f384(x75633,x75631,x75632)))
% 202.92/202.78 [7584]P151(x75842,x75843,x75841)+E(x75841,f2(a1))+~P1(f318(x75842,f867(x75841,x75843,x75842)))+~P1(f318(x75842,f866(x75841,x75843,x75842)))
% 202.92/202.78 [7585]P152(x75852,x75853,x75851)+E(x75851,f2(a1))+~P1(f318(x75852,f873(x75851,x75853,x75852)))+~P1(f318(x75852,f874(x75851,x75853,x75852)))
% 202.92/202.78 [7670]P151(x76701,x76702,x76703)+~P1(f318(x76701,x76702))+~P1(f318(x76701,f867(x76703,x76702,x76701)))+~P1(f318(x76701,f866(x76703,x76702,x76701)))
% 202.92/202.78 [7687]P152(x76871,x76872,x76873)+~P1(f318(x76871,f873(x76873,x76872,x76871)))+~P1(f318(x76871,f874(x76873,x76872,x76871)))+~P1(f318(x76871,f2(a1)))
% 202.92/202.78 [7732]P151(x77322,x77323,x77321)+E(x77321,f2(a1))+P1(f318(f318(f225(a1),f2(a1)),f867(x77321,x77323,x77322)))+P1(f318(f318(f225(a1),f866(x77321,x77323,x77322)),f2(a1)))
% 202.92/202.78 [7733]P152(x77332,x77333,x77331)+E(x77331,f2(a1))+P1(f318(f318(f225(a1),f2(a1)),f872(x77331,x77333,x77332)))+P1(f318(f318(f225(a1),f871(x77331,x77333,x77332)),f2(a1)))
% 202.92/202.78 [7734]~P95(x77341)+~P1(f318(f318(f225(x77341),x77343),f2(x77341)))+~P1(f318(f318(f225(x77341),x77342),f2(x77341)))+P1(f318(f318(f225(x77341),f318(f318(f73(x77341),x77342),x77343)),f2(x77341)))
% 202.92/202.78 [7735]~P146(x77351)+~P1(f318(f318(f320(x77351),x77353),f100(x77351)))+~P1(f318(f318(f320(x77351),x77352),f100(x77351)))+P1(f318(f318(f320(x77351),f318(f318(f3(x77351),x77352),x77353)),f100(x77351)))
% 202.92/202.78 [7736]~P146(x77361)+~P1(f318(f318(f320(x77361),x77363),f100(x77361)))+~P1(f318(f318(f320(x77361),x77362),f100(x77361)))+P1(f318(f318(f320(x77361),f318(f318(f74(x77361),x77362),x77363)),f100(x77361)))
% 202.92/202.78 [7737]~P115(x77371)+~P1(f318(f318(f320(x77371),x77373),f177(x77371)))+~P1(f318(f318(f320(x77371),x77372),f177(x77371)))+P1(f318(f318(f320(x77371),f318(f318(f74(x77371),x77372),x77373)),f177(x77371)))
% 202.92/202.78 [7738]~P146(x77381)+~P1(f318(f318(f320(x77381),x77383),f100(x77381)))+~P1(f318(f318(f320(x77381),x77382),f100(x77381)))+P1(f318(f318(f320(x77381),f318(f318(f73(x77381),x77382),x77383)),f100(x77381)))
% 202.92/202.78 [7739]~P115(x77391)+~P1(f318(f318(f320(x77391),x77393),f177(x77391)))+~P1(f318(f318(f320(x77391),x77392),f177(x77391)))+P1(f318(f318(f320(x77391),f318(f318(f73(x77391),x77392),x77393)),f177(x77391)))
% 202.92/202.78 [7740]~P95(x77401)+~P1(f318(f318(f225(x77401),x77403),f2(x77401)))+~P1(f318(f318(f226(x77401),x77402),f2(x77401)))+P1(f318(f318(f226(x77401),f318(f318(f73(x77401),x77402),x77403)),f2(x77401)))
% 202.92/202.78 [7741]~P95(x77411)+~P1(f318(f318(f225(x77411),x77412),f2(x77411)))+~P1(f318(f318(f226(x77411),x77413),f2(x77411)))+P1(f318(f318(f226(x77411),f318(f318(f73(x77411),x77412),x77413)),f2(x77411)))
% 202.92/202.78 [7742]~P95(x77421)+~P1(f318(f318(f226(x77421),x77423),f2(x77421)))+~P1(f318(f318(f226(x77421),x77422),f2(x77421)))+P1(f318(f318(f226(x77421),f318(f318(f73(x77421),x77422),x77423)),f2(x77421)))
% 202.92/202.78 [7769]P151(x77693,x77692,x77691)+E(x77691,f2(a1))+E(f318(f318(f73(a1),f318(f318(f74(a1),x77691),f868(x77691,x77692,x77693))),f867(x77691,x77692,x77693)),x77692)+P1(f318(f318(f226(a1),x77691),f2(a1)))
% 202.92/202.78 [7770]P152(x77703,x77702,x77701)+E(x77701,f2(a1))+E(f318(f318(f73(a1),f318(f318(f74(a1),x77701),f873(x77701,x77702,x77703))),f872(x77701,x77702,x77703)),x77702)+P1(f318(f318(f226(a1),x77701),f2(a1)))
% 202.92/202.78 [7853]P151(x78531,x78532,x78533)+~P1(f318(x78531,x78532))+P1(f318(f318(f225(a1),f2(a1)),f867(x78533,x78532,x78531)))+P1(f318(f318(f225(a1),f866(x78533,x78532,x78531)),f2(a1)))
% 202.92/202.78 [7884]P152(x78841,x78842,x78843)+P1(f318(f318(f225(a1),f2(a1)),f872(x78843,x78842,x78841)))+~P1(f318(x78841,f2(a1)))+P1(f318(f318(f225(a1),f871(x78843,x78842,x78841)),f2(a1)))
% 202.92/202.78 [7893]P151(x78933,x78932,x78931)+~P1(f318(x78933,x78932))+E(f318(f318(f73(a1),f318(f318(f74(a1),x78931),f868(x78931,x78932,x78933))),f867(x78931,x78932,x78933)),x78932)+P1(f318(f318(f226(a1),x78931),f2(a1)))
% 202.92/202.78 [7899]P151(x78992,x78993,x78991)+E(x78991,f2(a1))+~P1(f318(x78992,f867(x78991,x78993,x78992)))+P1(f318(f318(f225(a1),f866(x78991,x78993,x78992)),f2(a1)))
% 202.92/202.78 [7900]P152(x79002,x79003,x79001)+E(x79001,f2(a1))+~P1(f318(x79002,f873(x79001,x79003,x79002)))+P1(f318(f318(f225(a1),f871(x79001,x79003,x79002)),f2(a1)))
% 202.92/202.78 [7905]P152(x79053,x79052,x79051)+E(f318(f318(f73(a1),f318(f318(f74(a1),x79051),f873(x79051,x79052,x79053))),f872(x79051,x79052,x79053)),x79052)+~P1(f318(x79053,f2(a1)))+P1(f318(f318(f226(a1),x79051),f2(a1)))
% 202.92/202.78 [7961]P151(x79611,x79612,x79613)+~P1(f318(x79611,x79612))+~P1(f318(x79611,f867(x79613,x79612,x79611)))+P1(f318(f318(f225(a1),f866(x79613,x79612,x79611)),f2(a1)))
% 202.92/202.78 [7965]P152(x79651,x79652,x79653)+~P1(f318(x79651,f873(x79653,x79652,x79651)))+~P1(f318(x79651,f2(a1)))+P1(f318(f318(f225(a1),f871(x79653,x79652,x79651)),f2(a1)))
% 202.92/202.78 [8034]~P131(x80341)+~P1(f318(f318(f225(x80341),f318(f318(f74(x80341),x80343),x80342)),f2(x80341)))+P1(f318(f318(f225(x80341),x80342),f2(x80341)))+P1(f318(f318(f225(x80341),x80343),f2(x80341)))
% 202.92/202.78 [8035]~P76(x80351)+~P1(f318(f318(f225(x80351),f318(f318(f282(x80351),x80353),x80352)),f2(x80351)))+P1(f318(f318(f225(x80351),x80352),f2(x80351)))+P1(f318(f318(f225(x80351),x80353),f2(x80351)))
% 202.92/202.78 [8036]~P76(x80361)+~P1(f318(f318(f226(x80361),f318(f318(f282(x80361),x80363),x80362)),f2(x80361)))+P1(f318(f318(f226(x80361),x80362),f2(x80361)))+P1(f318(f318(f226(x80361),x80363),f2(x80361)))
% 202.92/202.78 [8150]P151(x81503,x81502,x81501)+E(x81501,f2(a1))+E(f318(f318(f73(a1),f318(f318(f74(a1),x81501),f868(x81501,x81502,x81503))),f867(x81501,x81502,x81503)),x81502)+P1(f318(f318(f226(a1),x81501),f866(x81501,x81502,x81503)))
% 202.92/202.78 [8151]P152(x81513,x81512,x81511)+E(x81511,f2(a1))+E(f318(f318(f73(a1),f318(f318(f74(a1),x81511),f873(x81511,x81512,x81513))),f872(x81511,x81512,x81513)),x81512)+P1(f318(f318(f226(a1),x81511),f871(x81511,x81512,x81513)))
% 202.92/202.78 [8163]P151(x81633,x81632,x81631)+E(x81631,f2(a1))+E(f318(f318(f73(a1),f318(f318(f74(a1),x81631),f870(x81631,x81632,x81633))),f866(x81631,x81632,x81633)),x81632)+P1(f318(f318(f225(a1),f2(a1)),f867(x81631,x81632,x81633)))
% 202.92/202.78 [8164]P152(x81643,x81642,x81641)+E(x81641,f2(a1))+E(f318(f318(f73(a1),f318(f318(f74(a1),x81641),f874(x81641,x81642,x81643))),f871(x81641,x81642,x81643)),x81642)+P1(f318(f318(f225(a1),f2(a1)),f872(x81641,x81642,x81643)))
% 202.92/202.78 [8207]P151(x82073,x82072,x82071)+~P1(f318(x82073,x82072))+E(f318(f318(f73(a1),f318(f318(f74(a1),x82071),f868(x82071,x82072,x82073))),f867(x82071,x82072,x82073)),x82072)+P1(f318(f318(f226(a1),x82071),f866(x82071,x82072,x82073)))
% 202.92/202.78 [8216]P152(x82163,x82162,x82161)+E(f318(f318(f73(a1),f318(f318(f74(a1),x82161),f873(x82161,x82162,x82163))),f872(x82161,x82162,x82163)),x82162)+P1(f318(f318(f226(a1),x82161),f871(x82161,x82162,x82163)))+~P1(f318(x82163,f2(a1)))
% 202.92/202.78 [8222]P151(x82223,x82222,x82221)+~P1(f318(x82223,x82222))+E(f318(f318(f73(a1),f318(f318(f74(a1),x82221),f870(x82221,x82222,x82223))),f866(x82221,x82222,x82223)),x82222)+P1(f318(f318(f225(a1),f2(a1)),f867(x82221,x82222,x82223)))
% 202.92/202.78 [8228]P152(x82283,x82282,x82281)+E(f318(f318(f73(a1),f318(f318(f74(a1),x82281),f874(x82281,x82282,x82283))),f871(x82281,x82282,x82283)),x82282)+P1(f318(f318(f225(a1),f2(a1)),f872(x82281,x82282,x82283)))+~P1(f318(x82283,f2(a1)))
% 202.92/202.78 [8239]P151(x82393,x82392,x82391)+E(x82391,f2(a1))+E(f318(f318(f73(a1),f318(f318(f74(a1),x82391),f868(x82391,x82392,x82393))),f867(x82391,x82392,x82393)),x82392)+~P1(f318(x82393,f866(x82391,x82392,x82393)))
% 202.92/202.78 [8240]P152(x82403,x82402,x82401)+E(x82401,f2(a1))+E(f318(f318(f73(a1),f318(f318(f74(a1),x82401),f873(x82401,x82402,x82403))),f872(x82401,x82402,x82403)),x82402)+~P1(f318(x82403,f874(x82401,x82402,x82403)))
% 202.92/202.78 [8241]P151(x82413,x82412,x82411)+E(x82411,f2(a1))+E(f318(f318(f73(a1),f318(f318(f74(a1),x82411),f870(x82411,x82412,x82413))),f866(x82411,x82412,x82413)),x82412)+~P1(f318(x82413,f867(x82411,x82412,x82413)))
% 202.92/202.78 [8242]P152(x82423,x82422,x82421)+E(x82421,f2(a1))+E(f318(f318(f73(a1),f318(f318(f74(a1),x82421),f874(x82421,x82422,x82423))),f871(x82421,x82422,x82423)),x82422)+~P1(f318(x82423,f873(x82421,x82422,x82423)))
% 202.92/202.78 [8302]P151(x83023,x83022,x83021)+~P1(f318(x83023,x83022))+E(f318(f318(f73(a1),f318(f318(f74(a1),x83021),f868(x83021,x83022,x83023))),f867(x83021,x83022,x83023)),x83022)+~P1(f318(x83023,f866(x83021,x83022,x83023)))
% 202.92/202.78 [8303]P151(x83033,x83032,x83031)+~P1(f318(x83033,x83032))+E(f318(f318(f73(a1),f318(f318(f74(a1),x83031),f870(x83031,x83032,x83033))),f866(x83031,x83032,x83033)),x83032)+~P1(f318(x83033,f867(x83031,x83032,x83033)))
% 202.92/202.78 [8316]P152(x83163,x83162,x83161)+E(f318(f318(f73(a1),f318(f318(f74(a1),x83161),f873(x83161,x83162,x83163))),f872(x83161,x83162,x83163)),x83162)+~P1(f318(x83163,f874(x83161,x83162,x83163)))+~P1(f318(x83163,f2(a1)))
% 202.92/202.78 [8317]P152(x83173,x83172,x83171)+E(f318(f318(f73(a1),f318(f318(f74(a1),x83171),f874(x83171,x83172,x83173))),f871(x83171,x83172,x83173)),x83172)+~P1(f318(x83173,f873(x83171,x83172,x83173)))+~P1(f318(x83173,f2(a1)))
% 202.92/202.78 [8417]P151(x84173,x84172,x84171)+E(x84171,f2(a1))+E(f318(f318(f73(a1),f318(f318(f74(a1),x84171),f868(x84171,x84172,x84173))),f867(x84171,x84172,x84173)),x84172)+P1(f318(f318(f225(a1),f866(x84171,x84172,x84173)),f2(a1)))
% 202.92/202.78 [8418]P152(x84183,x84182,x84181)+E(x84181,f2(a1))+E(f318(f318(f73(a1),f318(f318(f74(a1),x84181),f873(x84181,x84182,x84183))),f872(x84181,x84182,x84183)),x84182)+P1(f318(f318(f225(a1),f871(x84181,x84182,x84183)),f2(a1)))
% 202.92/202.78 [8457]P151(x84573,x84572,x84571)+~P1(f318(x84573,x84572))+E(f318(f318(f73(a1),f318(f318(f74(a1),x84571),f868(x84571,x84572,x84573))),f867(x84571,x84572,x84573)),x84572)+P1(f318(f318(f225(a1),f866(x84571,x84572,x84573)),f2(a1)))
% 202.92/202.78 [8462]P152(x84623,x84622,x84621)+E(f318(f318(f73(a1),f318(f318(f74(a1),x84621),f873(x84621,x84622,x84623))),f872(x84621,x84622,x84623)),x84622)+~P1(f318(x84623,f2(a1)))+P1(f318(f318(f225(a1),f871(x84621,x84622,x84623)),f2(a1)))
% 202.92/202.78 [8597]P151(x85973,x85972,x85971)+E(x85971,f2(a1))+E(f318(f318(f73(a1),f318(f318(f74(a1),x85971),f870(x85971,x85972,x85973))),f866(x85971,x85972,x85973)),x85972)+E(f318(f318(f73(a1),f318(f318(f74(a1),x85971),f868(x85971,x85972,x85973))),f867(x85971,x85972,x85973)),x85972)
% 202.92/202.78 [8598]P152(x85983,x85982,x85981)+E(x85981,f2(a1))+E(f318(f318(f73(a1),f318(f318(f74(a1),x85981),f874(x85981,x85982,x85983))),f871(x85981,x85982,x85983)),x85982)+E(f318(f318(f73(a1),f318(f318(f74(a1),x85981),f873(x85981,x85982,x85983))),f872(x85981,x85982,x85983)),x85982)
% 202.92/202.78 [8618]P151(x86183,x86182,x86181)+~P1(f318(x86183,x86182))+E(f318(f318(f73(a1),f318(f318(f74(a1),x86181),f870(x86181,x86182,x86183))),f866(x86181,x86182,x86183)),x86182)+E(f318(f318(f73(a1),f318(f318(f74(a1),x86181),f868(x86181,x86182,x86183))),f867(x86181,x86182,x86183)),x86182)
% 202.92/202.78 [8629]P152(x86293,x86292,x86291)+E(f318(f318(f73(a1),f318(f318(f74(a1),x86291),f874(x86291,x86292,x86293))),f871(x86291,x86292,x86293)),x86292)+E(f318(f318(f73(a1),f318(f318(f74(a1),x86291),f873(x86291,x86292,x86293))),f872(x86291,x86292,x86293)),x86292)+~P1(f318(x86293,f2(a1)))
% 202.92/202.78 [9301]~P131(x93011)+~E(x93013,f2(x93011))+~E(x93012,f2(x93011))+P1(f318(f318(f225(x93011),f318(f318(f73(x93011),f318(f318(f74(x93011),x93012),x93012)),f318(f318(f74(x93011),x93013),x93013))),f2(x93011)))
% 202.92/202.78 [10378]~P116(x103781)+~E(x103783,f2(x103781))+~E(x103782,f2(x103781))+P1(f318(f318(f225(x103781),f318(f318(f73(x103781),f318(f318(f235(x103781),x103782),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88))))),f318(f318(f235(x103781),x103783),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))))),f2(x103781)))
% 202.92/202.78 [4963]~E(x49633,x49631)+~P125(x49632)+E(x49631,f2(x49632))+E(f318(f318(f282(x49632),x49633),x49631),f71(x49632))
% 202.92/202.78 [5016]~P108(x50161)+~E(x50163,f233(x50161))+~E(x50162,f233(x50161))+E(f318(f318(f92(x50161),x50162),x50163),f233(x50161))
% 202.92/202.78 [5017]~P105(x50171)+~E(x50173,f179(x50171))+~E(x50172,f179(x50171))+E(f318(f318(f101(x50171),x50172),x50173),f179(x50171))
% 202.92/202.78 [5111]~P125(x51113)+E(x51111,x51112)+E(x51112,f2(x51113))+~E(f318(f318(f282(x51113),x51111),x51112),f71(x51113))
% 202.92/202.78 [5129]~P129(x51292)+E(x51291,f2(x51292))+E(x51293,f2(x51292))+~E(f318(f318(f74(x51292),x51293),x51291),f2(x51292))
% 202.92/202.78 [5130]~P138(x51302)+E(x51301,f2(x51302))+E(x51303,f2(x51302))+~E(f318(f318(f74(x51302),x51303),x51301),f2(x51302))
% 202.92/202.78 [5508]~P117(x55083)+E(x55081,x55082)+E(x55081,f318(f72(x55083),x55082))+~E(f318(f318(f74(x55083),x55081),x55081),f318(f318(f74(x55083),x55082),x55082))
% 202.92/202.78 [5547]~P65(x55471)+E(f318(f72(x55471),x55472),x55473)+~E(f318(f318(f92(x55471),x55472),x55473),f179(x55471))+~E(f318(f318(f101(x55471),x55472),x55473),f233(x55471))
% 202.92/202.78 [5626]~P116(x56263)+E(x56261,x56262)+P1(f318(f318(f226(x56263),x56262),x56261))+P1(f318(f318(f226(x56263),x56261),x56262))
% 202.92/202.78 [5627]~P4(x56273)+E(x56271,x56272)+P1(f318(f318(f226(x56273),x56272),x56271))+P1(f318(f318(f226(x56273),x56271),x56272))
% 202.92/202.78 [5628]~E(x56282,x56283)+~P4(x56281)+P1(f318(f318(f226(x56281),x56282),x56283))+P1(f318(f318(f225(x56281),x56282),x56283))
% 202.92/202.78 [5890]~P113(x58903)+E(x58901,x58902)+~P1(f318(f318(f225(x58903),x58902),x58901))+P1(f318(f318(f226(x58903),x58902),x58901))
% 202.92/202.78 [5892]~P4(x58923)+E(x58921,x58922)+~P1(f318(f318(f225(x58923),x58921),x58922))+P1(f318(f318(f226(x58923),x58921),x58922))
% 202.92/202.78 [5898]~P113(x58983)+E(x58981,x58982)+~P1(f318(f318(f225(x58983),x58981),x58982))+P1(f318(f318(f226(x58983),x58981),x58982))
% 202.92/202.78 [6004]P151(x60041,x60042,x60043)+~P1(f318(x60041,x60042))+P1(f318(f318(f226(a1),x60043),f2(a1)))+P1(f318(f318(f226(a1),f2(a1)),x60043))
% 202.92/202.78 [6059]P152(x60591,x60592,x60593)+~P1(f318(x60591,f2(a1)))+P1(f318(f318(f226(a1),x60593),f2(a1)))+P1(f318(f318(f226(a1),f2(a1)),x60593))
% 202.92/202.78 [6064]~P104(x60641)+E(f318(f318(f92(x60641),x60642),f15(x60641,x60643)),x60642)+~P1(f318(f55(x60641),x60643))+~P1(f318(f318(f320(x60641),x60642),x60643))
% 202.92/202.78 [6065]~P104(x60651)+E(f318(f318(f101(x60651),x60652),f12(x60651,x60653)),x60652)+~P1(f318(f55(x60651),x60653))+~P1(f318(f318(f320(x60651),x60652),x60653))
% 202.92/202.78 [6103]~P104(x61031)+E(f318(f318(f92(x61031),x61032),f12(x61031,x61033)),f12(x61031,x61033))+~P1(f318(f55(x61031),x61033))+~P1(f318(f318(f320(x61031),x61032),x61033))
% 202.92/202.78 [6104]~P104(x61041)+E(f318(f318(f101(x61041),x61042),f15(x61041,x61043)),f15(x61041,x61043))+~P1(f318(f55(x61041),x61043))+~P1(f318(f318(f320(x61041),x61042),x61043))
% 202.92/202.78 [6105]~P4(x61051)+E(f318(f318(f223(x61051),x61052),f16(x61051,x61053)),f16(x61051,x61053))+~P1(f318(f55(x61051),x61053))+~P1(f318(f318(f320(x61051),x61052),x61053))
% 202.92/202.78 [6106]~P4(x61061)+E(f318(f318(f224(x61061),x61062),f17(x61061,x61063)),f17(x61061,x61063))+~P1(f318(f55(x61061),x61063))+~P1(f318(f318(f320(x61061),x61062),x61063))
% 202.92/202.78 [6145]E(x61451,x61452)+~P113(x61453)+~P1(f318(f318(f225(x61453),x61452),x61451))+~P1(f318(f318(f225(x61453),x61451),x61452))
% 202.92/202.78 [6294]~P2(x62941)+P1(f318(f318(f226(x62941),x62943),x62942))+~P1(f318(f318(f225(x62941),x62943),x62942))+P1(f318(f318(f225(x62941),x62942),x62943))
% 202.92/202.78 [6320]~P4(x63201)+~P1(f318(f55(x63201),x63203))+P1(f318(f318(f225(x63201),x63202),f17(x63201,x63203)))+~P1(f318(f318(f320(x63201),x63202),x63203))
% 202.92/202.78 [6367]~P4(x63671)+E(f318(f318(f223(x63671),x63672),f14(x63671,f224(x63671),x63673)),x63672)+~P1(f318(f55(x63671),x63673))+~P1(f318(f318(f320(x63671),x63672),x63673))
% 202.92/202.78 [6368]~P4(x63681)+E(f318(f318(f224(x63681),x63682),f13(x63681,f223(x63681),x63683)),x63682)+~P1(f318(f55(x63681),x63683))+~P1(f318(f318(f320(x63681),x63682),x63683))
% 202.92/202.78 [6511]E(x65111,x65112)+~E(f318(f318(f3(a920),x65111),x65113),f318(f318(f3(a920),x65112),x65113))+~P1(f318(f318(f225(a920),x65113),x65111))+~P1(f318(f318(f225(a920),x65113),x65112))
% 202.92/202.78 [6538]~P4(x65381)+~P1(f318(f55(x65381),x65382))+~P1(f318(f318(f320(x65381),x65383),x65382))+P1(f318(f318(f225(x65381),f16(x65381,x65382)),x65383))
% 202.92/202.78 [6603]P151(x66032,x66033,x66031)+E(x66031,f2(a1))+P1(f318(f318(f226(a1),x66031),f866(x66031,x66033,x66032)))+P1(f318(f318(f226(a1),f2(a1)),x66031))
% 202.92/202.78 [6604]P152(x66042,x66043,x66041)+E(x66041,f2(a1))+P1(f318(f318(f226(a1),x66041),f871(x66041,x66043,x66042)))+P1(f318(f318(f226(a1),f2(a1)),x66041))
% 202.92/202.78 [6605]~P4(x66051)+E(f318(f318(f223(x66051),x66052),f13(x66051,f223(x66051),x66053)),f13(x66051,f223(x66051),x66053))+~P1(f318(f55(x66051),x66053))+~P1(f318(f318(f320(x66051),x66052),x66053))
% 202.92/202.78 [6606]~P4(x66061)+E(f318(f318(f224(x66061),x66062),f14(x66061,f224(x66061),x66063)),f14(x66061,f224(x66061),x66063))+~P1(f318(f55(x66061),x66063))+~P1(f318(f318(f320(x66061),x66062),x66063))
% 202.92/202.78 [6612]~P1(f318(x66121,x66122))+P1(f318(x66121,f429(x66122,x66121,x66123)))+P1(f318(x66121,f2(a920)))+~P1(f318(f318(f226(a920),x66122),x66123))
% 202.92/202.78 [6670]~P1(f318(x66701,x66702))+~P1(f318(f55(x66703),x66702))+P1(f318(x66701,f353(x66701,x66702,x66703)))+P1(f318(x66701,f179(f927(x66703,a918))))
% 202.92/202.78 [6683]~P116(x66831)+~P100(x66831)+P1(f318(f318(f225(x66831),f318(f94(x66831),x66832)),f318(f94(x66831),x66833)))+~P1(f318(f318(f225(a1),x66832),x66833))
% 202.92/202.78 [6684]~P116(x66841)+~P100(x66841)+P1(f318(f318(f226(x66841),f318(f94(x66841),x66842)),f318(f94(x66841),x66843)))+~P1(f318(f318(f226(a1),x66842),x66843))
% 202.92/202.78 [6687]~P1(f318(x66871,x66873))+~P1(f318(f55(x66872),x66873))+P1(f318(f55(x66872),f353(x66871,x66873,x66872)))+P1(f318(x66871,f179(f927(x66872,a918))))
% 202.92/202.78 [6721]P151(x67211,x67212,x67213)+~P1(f318(x67211,x67212))+P1(f318(f318(f226(a1),x67213),f866(x67213,x67212,x67211)))+P1(f318(f318(f226(a1),f2(a1)),x67213))
% 202.92/202.78 [6757]P152(x67571,x67572,x67573)+P1(f318(f318(f226(a1),x67573),f871(x67573,x67572,x67571)))+~P1(f318(x67571,f2(a1)))+P1(f318(f318(f226(a1),f2(a1)),x67573))
% 202.92/202.78 [6791]~P3(x67911)+~P101(x67911)+E(f318(f318(f223(x67911),f318(f94(x67911),x67912)),f318(f94(x67911),x67913)),f318(f94(x67911),x67913))+P1(f318(f318(f225(x67911),f318(f94(x67911),x67912)),f318(f94(x67911),x67913)))
% 202.92/202.78 [6792]~P3(x67921)+~P101(x67921)+E(f318(f318(f224(x67921),f318(f94(x67921),x67922)),f318(f94(x67921),x67923)),f318(f94(x67921),x67922))+P1(f318(f318(f225(x67921),f318(f94(x67921),x67922)),f318(f94(x67921),x67923)))
% 202.92/202.78 [6851]P151(x68512,x68513,x68511)+E(x68511,f2(a1))+~P1(f318(x68512,f866(x68511,x68513,x68512)))+P1(f318(f318(f226(a1),f2(a1)),x68511))
% 202.92/202.78 [6852]P152(x68522,x68523,x68521)+E(x68521,f2(a1))+~P1(f318(x68522,f874(x68521,x68523,x68522)))+P1(f318(f318(f226(a1),f2(a1)),x68521))
% 202.92/202.78 [6856]P1(f318(x68561,x68562))+~P1(f318(f55(x68563),x68562))+P1(f318(x68561,f438(x68561,x68562,x68563)))+~P1(f318(x68561,f179(f927(x68563,a918))))
% 202.92/202.78 [6878]P1(f318(x68781,x68782))+P1(f318(f55(x68783),f438(x68781,x68782,x68783)))+~P1(f318(f55(x68783),x68782))+~P1(f318(x68781,f179(f927(x68783,a918))))
% 202.92/202.78 [6944]P151(x69441,x69442,x69443)+~P1(f318(x69441,x69442))+~P1(f318(x69441,f866(x69443,x69442,x69441)))+P1(f318(f318(f226(a1),f2(a1)),x69443))
% 202.92/202.78 [6974]P152(x69741,x69742,x69743)+~P1(f318(x69741,f874(x69743,x69742,x69741)))+~P1(f318(x69741,f2(a1)))+P1(f318(f318(f226(a1),f2(a1)),x69743))
% 202.92/202.78 [7003]P1(f318(x70031,x70032))+~P1(f318(x70031,x70033))+~P1(f318(x70031,f663(x70031,x70033,x70032)))+~P1(f318(f318(f225(a920),x70032),x70033))
% 202.92/202.78 [7084]~P100(x70843)+~P116(x70843)+~P1(f318(f318(f225(x70843),f318(f94(x70843),x70841)),f318(f94(x70843),x70842)))+P1(f318(f318(f225(a1),x70841),x70842))
% 202.92/202.78 [7085]~P100(x70853)+~P116(x70853)+~P1(f318(f318(f226(x70853),f318(f94(x70853),x70851)),f318(f94(x70853),x70852)))+P1(f318(f318(f226(a1),x70851),x70852))
% 202.92/202.78 [7114]~P4(x71141)+~P13(x71141,x71143)+P13(x71141,f318(f318(f142(x71141),x71142),x71143))+~P1(f318(f318(f225(x71141),x71142),f715(x71143,x71142,x71141)))
% 202.92/202.78 [7115]~P4(x71151)+~P13(x71151,x71153)+P13(x71151,f318(f318(f142(x71151),x71152),x71153))+~P1(f318(f318(f225(x71151),x71152),f717(x71153,x71152,x71151)))
% 202.92/202.78 [7116]~P4(x71161)+~P13(x71161,x71163)+P13(x71161,f318(f318(f142(x71161),x71162),x71163))+~P1(f318(f318(f225(x71161),x71162),f756(x71162,x71163,x71161)))
% 202.92/202.78 [7201]P151(x72012,x72013,x72011)+E(x72011,f2(a1))+P1(f318(f318(f226(a1),x72011),f2(a1)))+P1(f318(f318(f226(a1),f867(x72011,x72013,x72012)),x72011))
% 202.92/202.78 [7202]P152(x72022,x72023,x72021)+E(x72021,f2(a1))+P1(f318(f318(f226(a1),x72021),f2(a1)))+P1(f318(f318(f226(a1),f872(x72021,x72023,x72022)),x72021))
% 202.92/202.78 [7239]P151(x72392,x72393,x72391)+E(x72391,f2(a1))+P1(f318(f318(f225(a1),f866(x72391,x72393,x72392)),f2(a1)))+P1(f318(f318(f226(a1),f2(a1)),x72391))
% 202.92/202.78 [7240]P152(x72402,x72403,x72401)+E(x72401,f2(a1))+P1(f318(f318(f225(a1),f871(x72401,x72403,x72402)),f2(a1)))+P1(f318(f318(f226(a1),f2(a1)),x72401))
% 202.92/202.78 [7266]~P4(x72661)+~P13(x72661,x72663)+E(f318(f318(f139(x72661,x72661,f7(x72661)),x72662),f161(x72661,x72662,x72663)),x72663)+~P1(f318(f318(f320(x72661),x72662),f318(f163(x72661),x72663)))
% 202.92/202.78 [7313]P151(x73131,x73132,x73133)+~P1(f318(x73131,x73132))+P1(f318(f318(f226(a1),x73133),f2(a1)))+P1(f318(f318(f226(a1),f867(x73133,x73132,x73131)),x73133))
% 202.92/202.78 [7319]~P3(x73191)+~P101(x73191)+E(f318(f318(f223(x73191),f318(f94(x73191),x73192)),f318(f94(x73191),x73193)),f318(f94(x73191),x73192))+~P1(f318(f318(f225(x73191),f318(f94(x73191),x73192)),f318(f94(x73191),x73193)))
% 202.92/202.78 [7320]~P3(x73201)+~P101(x73201)+E(f318(f318(f224(x73201),f318(f94(x73201),x73202)),f318(f94(x73201),x73203)),f318(f94(x73201),x73203))+~P1(f318(f318(f225(x73201),f318(f94(x73201),x73202)),f318(f94(x73201),x73203)))
% 202.92/202.78 [7329]~P1(f318(x73291,x73293))+P1(f318(x73291,x73292))+~P1(f318(f318(f225(a920),x73292),x73293))+P1(f318(x73291,f318(a103,f663(x73291,x73293,x73292))))
% 202.92/202.78 [7335]P152(x73351,x73352,x73353)+~P1(f318(x73351,f2(a1)))+P1(f318(f318(f226(a1),x73353),f2(a1)))+P1(f318(f318(f226(a1),f872(x73353,x73352,x73351)),x73353))
% 202.92/202.78 [7345]P151(x73451,x73452,x73453)+~P1(f318(x73451,x73452))+P1(f318(f318(f225(a1),f866(x73453,x73452,x73451)),f2(a1)))+P1(f318(f318(f226(a1),f2(a1)),x73453))
% 202.92/202.78 [7369]P152(x73691,x73692,x73693)+~P1(f318(x73691,f2(a1)))+P1(f318(f318(f225(a1),f871(x73693,x73692,x73691)),f2(a1)))+P1(f318(f318(f226(a1),f2(a1)),x73693))
% 202.92/202.78 [7382]~P1(f318(x73821,x73823))+P1(f318(x73821,x73822))+~P1(f318(f318(f225(a920),x73822),x73823))+P1(f318(f318(f226(a920),f663(x73821,x73823,x73822)),x73823))
% 202.92/202.78 [7399]~P1(f318(x73991,x73992))+P1(f318(x73991,f2(a920)))+~P1(f318(f318(f226(a920),x73992),x73993))+P1(f318(f318(f226(a920),f429(x73992,x73991,x73993)),x73993))
% 202.92/202.78 [7416]~P4(x74161)+~P13(x74161,x74163)+P13(x74161,f318(f318(f142(x74161),x74162),x74163))+P1(f318(f318(f320(x74161),f715(x74163,x74162,x74161)),f318(f163(x74161),x74163)))
% 202.92/202.78 [7417]~P4(x74171)+~P13(x74171,x74173)+P13(x74171,f318(f318(f142(x74171),x74172),x74173))+P1(f318(f318(f320(x74171),f717(x74173,x74172,x74171)),f318(f163(x74171),x74173)))
% 202.92/202.78 [7418]~P4(x74181)+~P13(x74181,x74183)+P13(x74181,f318(f318(f142(x74181),x74182),x74183))+P1(f318(f318(f320(x74181),f756(x74182,x74183,x74181)),f318(f163(x74181),x74183)))
% 202.92/202.78 [7531]~P4(x75311)+~P5(x75311)+~P1(f318(f318(f226(x75311),x75313),f31(x75311,x75312)))+P1(f318(f318(f320(x75311),f531(x75312,x75313,x75311)),x75312))
% 202.92/202.78 [7685]~P4(x76851)+~P5(x76851)+~P1(f318(f318(f226(x76851),f32(x76851,x76853)),x76852))+P1(f318(f318(f320(x76851),f555(x76852,x76853,x76851)),x76853))
% 202.92/202.78 [7686]~P4(x76861)+~P5(x76861)+~P1(f318(f318(f226(x76861),f32(x76861,x76863)),x76862))+P1(f318(f318(f226(x76861),f555(x76862,x76863,x76861)),x76862))
% 202.92/202.78 [7698]P151(x76982,x76983,x76981)+E(x76981,f2(a1))+P1(f318(f318(f226(a1),x76981),f866(x76981,x76983,x76982)))+P1(f318(f318(f226(a1),f867(x76981,x76983,x76982)),x76981))
% 202.92/202.78 [7699]P152(x76992,x76993,x76991)+E(x76991,f2(a1))+P1(f318(f318(f226(a1),x76991),f871(x76991,x76993,x76992)))+P1(f318(f318(f226(a1),f872(x76991,x76993,x76992)),x76991))
% 202.92/202.78 [7792]P151(x77923,x77922,x77921)+E(x77921,f2(a1))+E(f318(f318(f73(a1),f318(f318(f74(a1),x77921),f870(x77921,x77922,x77923))),f866(x77921,x77922,x77923)),x77922)+P1(f318(f318(f226(a1),f2(a1)),x77921))
% 202.92/202.78 [7793]P152(x77933,x77932,x77931)+E(x77931,f2(a1))+E(f318(f318(f73(a1),f318(f318(f74(a1),x77931),f874(x77931,x77932,x77933))),f871(x77931,x77932,x77933)),x77932)+P1(f318(f318(f226(a1),f2(a1)),x77931))
% 202.92/202.78 [7796]~P140(x77961)+~P1(f318(f318(f225(x77961),x77963),f2(x77961)))+P1(f318(f318(f225(x77961),f318(f318(f74(x77961),x77962),x77963)),f2(x77961)))+~P1(f318(f318(f225(x77961),f2(x77961)),x77962))
% 202.92/202.78 [7798]~P140(x77981)+~P1(f318(f318(f225(x77981),x77982),f2(x77981)))+P1(f318(f318(f225(x77981),f318(f318(f74(x77981),x77982),x77983)),f2(x77981)))+~P1(f318(f318(f225(x77981),f2(x77981)),x77983))
% 202.92/202.78 [7799]~P131(x77991)+~P1(f318(f318(f225(x77991),x77993),f2(x77991)))+P1(f318(f318(f225(x77991),f318(f318(f74(x77991),x77992),x77993)),f2(x77991)))+~P1(f318(f318(f225(x77991),f2(x77991)),x77992))
% 202.92/202.78 [7800]~P131(x78001)+~P1(f318(f318(f225(x78001),x78002),f2(x78001)))+P1(f318(f318(f225(x78001),f318(f318(f74(x78001),x78002),x78003)),f2(x78001)))+~P1(f318(f318(f225(x78001),f2(x78001)),x78003))
% 202.92/202.78 [7801]~P76(x78011)+~P1(f318(f318(f225(x78011),x78013),f2(x78011)))+P1(f318(f318(f225(x78011),f318(f318(f282(x78011),x78012),x78013)),f2(x78011)))+~P1(f318(f318(f225(x78011),f2(x78011)),x78012))
% 202.92/202.78 [7802]~P76(x78021)+~P1(f318(f318(f225(x78021),x78022),f2(x78021)))+P1(f318(f318(f225(x78021),f318(f318(f282(x78021),x78022),x78023)),f2(x78021)))+~P1(f318(f318(f225(x78021),f2(x78021)),x78023))
% 202.92/202.78 [7803]~P77(x78031)+~P1(f318(f318(f225(x78031),x78032),f2(x78031)))+P1(f318(f318(f225(x78031),f318(f318(f282(x78031),x78032),x78033)),f2(x78031)))+~P1(f318(f318(f226(x78031),f2(x78031)),x78033))
% 202.92/202.78 [7804]~P77(x78041)+~P1(f318(f318(f226(x78041),x78043),f2(x78041)))+P1(f318(f318(f225(x78041),f318(f318(f282(x78041),x78042),x78043)),f2(x78041)))+~P1(f318(f318(f225(x78041),f2(x78041)),x78042))
% 202.92/202.78 [7806]~P133(x78061)+~P1(f318(f318(f226(x78061),x78063),f2(x78061)))+P1(f318(f318(f226(x78061),f318(f318(f74(x78061),x78062),x78063)),f2(x78061)))+~P1(f318(f318(f226(x78061),f2(x78061)),x78062))
% 202.92/202.78 [7807]~P133(x78071)+~P1(f318(f318(f226(x78071),x78072),f2(x78071)))+P1(f318(f318(f226(x78071),f318(f318(f74(x78071),x78072),x78073)),f2(x78071)))+~P1(f318(f318(f226(x78071),f2(x78071)),x78073))
% 202.92/202.78 [7808]~P76(x78081)+~P1(f318(f318(f226(x78081),x78083),f2(x78081)))+P1(f318(f318(f226(x78081),f318(f318(f282(x78081),x78082),x78083)),f2(x78081)))+~P1(f318(f318(f226(x78081),f2(x78081)),x78082))
% 202.92/202.78 [7809]~P76(x78091)+~P1(f318(f318(f226(x78091),x78092),f2(x78091)))+P1(f318(f318(f226(x78091),f318(f318(f282(x78091),x78092),x78093)),f2(x78091)))+~P1(f318(f318(f226(x78091),f2(x78091)),x78093))
% 202.92/202.78 [7810]~P77(x78101)+~P1(f318(f318(f226(x78101),x78103),f2(x78101)))+P1(f318(f318(f226(x78101),f318(f318(f282(x78101),x78102),x78103)),f2(x78101)))+~P1(f318(f318(f226(x78101),f2(x78101)),x78102))
% 202.92/202.78 [7811]~P77(x78111)+~P1(f318(f318(f226(x78111),x78112),f2(x78111)))+P1(f318(f318(f226(x78111),f318(f318(f282(x78111),x78112),x78113)),f2(x78111)))+~P1(f318(f318(f226(x78111),f2(x78111)),x78113))
% 202.92/202.78 [7826]P151(x78261,x78262,x78263)+~P1(f318(x78261,x78262))+P1(f318(f318(f226(a1),x78263),f866(x78263,x78262,x78261)))+P1(f318(f318(f226(a1),f867(x78263,x78262,x78261)),x78263))
% 202.92/202.78 [7839]P152(x78391,x78392,x78393)+P1(f318(f318(f226(a1),x78393),f871(x78393,x78392,x78391)))+~P1(f318(x78391,f2(a1)))+P1(f318(f318(f226(a1),f872(x78393,x78392,x78391)),x78393))
% 202.92/202.78 [7891]P151(x78912,x78913,x78911)+E(x78911,f2(a1))+~P1(f318(x78912,f866(x78911,x78913,x78912)))+P1(f318(f318(f226(a1),f867(x78911,x78913,x78912)),x78911))
% 202.92/202.78 [7892]P152(x78922,x78923,x78921)+E(x78921,f2(a1))+~P1(f318(x78922,f874(x78921,x78923,x78922)))+P1(f318(f318(f226(a1),f872(x78921,x78923,x78922)),x78921))
% 202.92/202.78 [7902]P151(x79023,x79022,x79021)+~P1(f318(x79023,x79022))+E(f318(f318(f73(a1),f318(f318(f74(a1),x79021),f870(x79021,x79022,x79023))),f866(x79021,x79022,x79023)),x79022)+P1(f318(f318(f226(a1),f2(a1)),x79021))
% 202.92/202.78 [7917]P152(x79173,x79172,x79171)+E(f318(f318(f73(a1),f318(f318(f74(a1),x79171),f874(x79171,x79172,x79173))),f871(x79171,x79172,x79173)),x79172)+~P1(f318(x79173,f2(a1)))+P1(f318(f318(f226(a1),f2(a1)),x79171))
% 202.92/202.78 [7945]~P1(f318(x79451,x79453))+~P1(f318(f55(x79452),x79453))+P1(f318(f318(f320(x79452),f363(x79451,x79453,x79452)),f353(x79451,x79453,x79452)))+P1(f318(x79451,f179(f927(x79452,a918))))
% 202.92/202.78 [7956]P151(x79561,x79562,x79563)+~P1(f318(x79561,x79562))+~P1(f318(x79561,f866(x79563,x79562,x79561)))+P1(f318(f318(f226(a1),f867(x79563,x79562,x79561)),x79563))
% 202.92/202.78 [7962]P152(x79621,x79622,x79623)+~P1(f318(x79621,f874(x79623,x79622,x79621)))+~P1(f318(x79621,f2(a1)))+P1(f318(f318(f226(a1),f872(x79623,x79622,x79621)),x79623))
% 202.92/202.78 [8065]~P131(x80651)+~P1(f318(f318(f225(x80651),f318(f318(f74(x80651),x80653),x80652)),f2(x80651)))+P1(f318(f318(f225(x80651),x80652),f2(x80651)))+P1(f318(f318(f225(x80651),f2(x80651)),x80652))
% 202.92/202.78 [8066]~P131(x80661)+~P1(f318(f318(f225(x80661),f318(f318(f74(x80661),x80662),x80663)),f2(x80661)))+P1(f318(f318(f225(x80661),x80662),f2(x80661)))+P1(f318(f318(f225(x80661),f2(x80661)),x80662))
% 202.92/202.78 [8067]~P76(x80671)+~P1(f318(f318(f225(x80671),f318(f318(f282(x80671),x80673),x80672)),f2(x80671)))+P1(f318(f318(f225(x80671),x80672),f2(x80671)))+P1(f318(f318(f225(x80671),f2(x80671)),x80672))
% 202.92/202.78 [8068]~P76(x80681)+~P1(f318(f318(f225(x80681),f318(f318(f282(x80681),x80682),x80683)),f2(x80681)))+P1(f318(f318(f225(x80681),x80682),f2(x80681)))+P1(f318(f318(f225(x80681),f2(x80681)),x80682))
% 202.92/202.78 [8069]~P76(x80691)+~P1(f318(f318(f226(x80691),f318(f318(f282(x80691),x80693),x80692)),f2(x80691)))+P1(f318(f318(f226(x80691),x80692),f2(x80691)))+P1(f318(f318(f226(x80691),f2(x80691)),x80692))
% 202.92/202.78 [8070]~P76(x80701)+~P1(f318(f318(f226(x80701),f318(f318(f282(x80701),x80702),x80703)),f2(x80701)))+P1(f318(f318(f226(x80701),x80702),f2(x80701)))+P1(f318(f318(f226(x80701),f2(x80701)),x80702))
% 202.92/202.78 [8094]~P131(x80941)+~P1(f318(f318(f225(x80941),f318(f318(f74(x80941),x80942),x80943)),f2(x80941)))+P1(f318(f318(f225(x80941),f2(x80941)),x80942))+P1(f318(f318(f225(x80941),f2(x80941)),x80943))
% 202.92/202.78 [8095]~P76(x80951)+~P1(f318(f318(f225(x80951),f318(f318(f282(x80951),x80952),x80953)),f2(x80951)))+P1(f318(f318(f225(x80951),f2(x80951)),x80952))+P1(f318(f318(f225(x80951),f2(x80951)),x80953))
% 202.92/202.78 [8096]~P76(x80961)+~P1(f318(f318(f226(x80961),f318(f318(f282(x80961),x80962),x80963)),f2(x80961)))+P1(f318(f318(f226(x80961),f2(x80961)),x80962))+P1(f318(f318(f226(x80961),f2(x80961)),x80963))
% 202.92/202.78 [8118]P151(x81182,x81183,x81181)+E(x81181,f2(a1))+P1(f318(f318(f225(a1),f866(x81181,x81183,x81182)),f2(a1)))+P1(f318(f318(f226(a1),f867(x81181,x81183,x81182)),x81181))
% 202.92/202.78 [8119]P152(x81192,x81193,x81191)+E(x81191,f2(a1))+P1(f318(f318(f225(a1),f871(x81191,x81193,x81192)),f2(a1)))+P1(f318(f318(f226(a1),f872(x81191,x81193,x81192)),x81191))
% 202.92/202.78 [8126]~P135(x81261)+~P1(f318(f318(f226(x81261),x81262),f71(x81261)))+P1(f318(f318(f226(x81261),f318(f318(f235(x81261),x81262),f318(a103,x81263))),f71(x81261)))+~P1(f318(f318(f226(x81261),f2(x81261)),x81262))
% 202.92/202.78 [8180]~P4(x81801)+~E(x81803,f104(x81801))+~P13(x81801,f318(f159(x81801),x81803))+E(f318(f133(x81801,x81801,f318(f9(x81801,x81801,x81801),f224(x81801)),x81802),f318(f159(x81801),x81803)),x81802)
% 202.92/202.78 [8184]P151(x81841,x81842,x81843)+~P1(f318(x81841,x81842))+P1(f318(f318(f225(a1),f866(x81843,x81842,x81841)),f2(a1)))+P1(f318(f318(f226(a1),f867(x81843,x81842,x81841)),x81843))
% 202.92/202.78 [8191]P152(x81911,x81912,x81913)+~P1(f318(x81911,f2(a1)))+P1(f318(f318(f225(a1),f871(x81913,x81912,x81911)),f2(a1)))+P1(f318(f318(f226(a1),f872(x81913,x81912,x81911)),x81913))
% 202.92/202.78 [8412]P151(x84123,x84122,x84121)+E(x84121,f2(a1))+E(f318(f318(f73(a1),f318(f318(f74(a1),x84121),f870(x84121,x84122,x84123))),f866(x84121,x84122,x84123)),x84122)+P1(f318(f318(f226(a1),f867(x84121,x84122,x84123)),x84121))
% 202.92/202.78 [8413]P152(x84133,x84132,x84131)+E(x84131,f2(a1))+E(f318(f318(f73(a1),f318(f318(f74(a1),x84131),f874(x84131,x84132,x84133))),f871(x84131,x84132,x84133)),x84132)+P1(f318(f318(f226(a1),f872(x84131,x84132,x84133)),x84131))
% 202.92/202.78 [8448]P151(x84483,x84482,x84481)+~P1(f318(x84483,x84482))+E(f318(f318(f73(a1),f318(f318(f74(a1),x84481),f870(x84481,x84482,x84483))),f866(x84481,x84482,x84483)),x84482)+P1(f318(f318(f226(a1),f867(x84481,x84482,x84483)),x84481))
% 202.92/202.78 [8449]~P83(x84491)+~P84(x84491)+~P43(x84493)+E(f318(f318(f11(a920,x84491),f318(f318(f10(a1,x84491,a920),x84492),f91(a1))),f318(f301(a1,a920,a95),x84493)),f318(f318(f11(a1,x84491),x84492),x84493))
% 202.92/202.78 [8450]~P83(x84501)+~P84(x84501)+~P43(x84503)+E(f318(f318(f8(a920,x84501),f318(f318(f10(a1,x84501,a920),x84502),f91(a1))),f318(f301(a1,a920,a95),x84503)),f318(f318(f8(a1,x84501),x84502),x84503))
% 202.92/202.78 [8459]P152(x84593,x84592,x84591)+E(f318(f318(f73(a1),f318(f318(f74(a1),x84591),f874(x84591,x84592,x84593))),f871(x84591,x84592,x84593)),x84592)+~P1(f318(x84593,f2(a1)))+P1(f318(f318(f226(a1),f872(x84591,x84592,x84593)),x84591))
% 202.92/202.78 [8481]~E(x84812,f2(a920))+~E(f318(f242(a920,a920),x84813),f2(a920))+~E(x84811,f318(f318(f73(a920),f318(f318(f74(a920),f318(f242(a920,a920),x84813)),x84812)),f318(f247(a920,a920),x84813)))+P1(f318(f42(x84811,x84812),x84813))
% 202.92/202.78 [8538]P1(f318(x85381,x85382))+~P1(f318(f318(f320(x85383),f439(x85381,x85382,x85383)),f438(x85381,x85382,x85383)))+~P1(f318(f55(x85383),x85382))+~P1(f318(x85381,f179(f927(x85383,a918))))
% 202.92/202.78 [9093]~P113(x90931)+~P113(x90932)+P42(x90931,x90932,x90933)+~P1(f318(f318(f225(x90932),f318(x90933,f369(x90933,x90931,x90932))),f318(x90933,f384(x90933,x90931,x90932))))
% 202.92/202.78 [9171]P1(f318(x91711,x91712))+~P1(f318(f55(x91713),x91712))+~P1(f318(x91711,f318(f318(f300(x91713),f439(x91711,x91712,x91713)),f438(x91711,x91712,x91713))))+~P1(f318(x91711,f179(f927(x91713,a918))))
% 202.92/202.78 [9406]P1(f318(f318(f225(a1),x94061),f2(a1)))+~P1(f318(f318(f226(a1),f318(f318(f73(a1),f318(f318(f74(a1),x94063),x94061)),x94062)),f2(a1)))+~P1(f318(f318(f225(a1),f2(a1)),x94062))+~P1(f318(f318(f226(a1),f2(a1)),x94063))
% 202.92/202.78 [5960]~P104(x59602)+E(x59601,f179(f927(x59602,a918)))+~P1(f318(f55(x59602),x59601))+E(f12(x59602,f318(f318(f300(x59602),x59603),x59601)),f318(f318(f92(x59602),x59603),f12(x59602,x59601)))
% 202.92/202.78 [5961]~P104(x59612)+E(x59611,f179(f927(x59612,a918)))+~P1(f318(f55(x59612),x59611))+E(f15(x59612,f318(f318(f300(x59612),x59613),x59611)),f318(f318(f101(x59612),x59613),f15(x59612,x59611)))
% 202.92/202.78 [5962]~P4(x59622)+E(x59621,f179(f927(x59622,a918)))+~P1(f318(f55(x59622),x59621))+E(f16(x59622,f318(f318(f300(x59622),x59623),x59621)),f318(f318(f223(x59622),x59623),f16(x59622,x59621)))
% 202.92/202.78 [5963]~P4(x59632)+E(x59631,f179(f927(x59632,a918)))+~P1(f318(f55(x59632),x59631))+E(f17(x59632,f318(f318(f300(x59632),x59633),x59631)),f318(f318(f224(x59632),x59633),f17(x59632,x59631)))
% 202.92/202.78 [6290]~P131(x62901)+~E(x62903,f2(x62901))+~E(x62902,f2(x62901))+E(f318(f318(f73(x62901),f318(f318(f74(x62901),x62902),x62902)),f318(f318(f74(x62901),x62903),x62903)),f2(x62901))
% 202.92/202.78 [6360]~P102(x63602)+E(x63601,f179(f927(x63602,a918)))+~P1(f318(f55(x63602),x63601))+E(f318(f57(x63602,f74(x63602)),f318(f318(f300(x63602),x63603),x63601)),f318(f318(f74(x63602),x63603),f318(f57(x63602,f74(x63602)),x63601)))
% 202.92/202.78 [6488]~P4(x64882)+E(x64881,f179(f927(x64882,a918)))+~P1(f318(f55(x64882),x64881))+E(f13(x64882,f223(x64882),f318(f318(f300(x64882),x64883),x64881)),f318(f318(f223(x64882),x64883),f13(x64882,f223(x64882),x64881)))
% 202.92/202.78 [6489]~P4(x64892)+E(x64891,f179(f927(x64892,a918)))+~P1(f318(f55(x64892),x64891))+E(f14(x64892,f224(x64892),f318(f318(f300(x64892),x64893),x64891)),f318(f318(f224(x64892),x64893),f14(x64892,f224(x64892),x64891)))
% 202.92/202.78 [7009]~P78(x70091)+~P1(f318(f55(x70091),x70093))+E(f318(f57(x70091,f74(x70091)),f318(f318(f300(x70091),x70092),x70093)),f318(f318(f58(x70091,x70091,f74(x70091)),x70092),x70093))+P1(f318(f318(f320(x70091),x70092),x70093))
% 202.92/202.78 [7092]~E(f318(f318(f73(a1),x70922),f318(f318(f74(a1),x70923),x70921)),x70923)+~P1(f318(f318(f226(a1),f2(a1)),x70923))+P1(f318(f318(f225(a1),f71(a1)),x70921))+~P1(f318(f318(f226(a1),x70922),x70923))
% 202.92/202.78 [7121]~E(f318(f318(f73(a1),x71212),f318(f318(f74(a1),x71213),x71211)),x71213)+P1(f318(f318(f225(a1),x71211),f71(a1)))+~P1(f318(f318(f225(a1),f2(a1)),x71212))+~P1(f318(f318(f226(a1),f2(a1)),x71213))
% 202.92/202.78 [7138]E(x71381,f2(a920))+~P1(f318(f42(x71383,x71381),x71382))+~P1(f318(f318(f226(a920),f2(a920)),x71381))+P1(f318(f318(f226(a920),f318(f247(a920,a920),x71382)),x71381))
% 202.92/202.78 [7169]~P144(x71691)+~P1(f318(f318(f225(x71691),x71692),f2(x71691)))+~P1(f318(f318(f225(x71691),x71693),f2(x71691)))+E(f318(f318(f74(x71691),f318(f69(x71691),x71692)),f318(f69(x71691),x71693)),f318(f69(x71691),f318(f318(f74(x71691),x71692),x71693)))
% 202.92/202.78 [7216]~P144(x72161)+~P1(f318(f318(f225(x72161),x72162),f2(x72161)))+E(f318(f318(f74(x72161),f318(f69(x72161),x72162)),f318(f69(x72161),x72163)),f318(f69(x72161),f318(f318(f74(x72161),x72162),x72163)))+~P1(f318(f318(f225(x72161),f2(x72161)),x72163))
% 202.92/202.78 [7217]~P144(x72171)+~P1(f318(f318(f225(x72171),x72173),f2(x72171)))+E(f318(f318(f74(x72171),f318(f69(x72171),x72172)),f318(f69(x72171),x72173)),f318(f69(x72171),f318(f318(f74(x72171),x72172),x72173)))+~P1(f318(f318(f225(x72171),f2(x72171)),x72172))
% 202.92/202.78 [7274]~P144(x72741)+E(f318(f318(f74(x72741),f318(f69(x72741),x72742)),f318(f69(x72741),x72743)),f318(f69(x72741),f318(f318(f74(x72741),x72742),x72743)))+~P1(f318(f318(f225(x72741),f2(x72741)),x72742))+~P1(f318(f318(f225(x72741),f2(x72741)),x72743))
% 202.92/202.78 [7291]~P141(x72911)+~P1(f318(f318(f225(x72911),x72913),f2(x72911)))+~P1(f318(f318(f225(x72911),x72912),f2(x72911)))+P1(f318(f318(f225(x72911),f2(x72911)),f318(f318(f74(x72911),x72912),x72913)))
% 202.92/202.78 [7292]~P131(x72921)+~P1(f318(f318(f225(x72921),x72923),f2(x72921)))+~P1(f318(f318(f225(x72921),x72922),f2(x72921)))+P1(f318(f318(f225(x72921),f2(x72921)),f318(f318(f74(x72921),x72922),x72923)))
% 202.92/202.78 [7293]~P76(x72931)+~P1(f318(f318(f225(x72931),x72933),f2(x72931)))+~P1(f318(f318(f225(x72931),x72932),f2(x72931)))+P1(f318(f318(f225(x72931),f2(x72931)),f318(f318(f282(x72931),x72932),x72933)))
% 202.92/202.78 [7294]~P77(x72941)+~P1(f318(f318(f226(x72941),x72943),f2(x72941)))+~P1(f318(f318(f225(x72941),x72942),f2(x72941)))+P1(f318(f318(f225(x72941),f2(x72941)),f318(f318(f282(x72941),x72942),x72943)))
% 202.92/202.78 [7295]~P131(x72951)+~P1(f318(f318(f226(x72951),x72953),f2(x72951)))+~P1(f318(f318(f226(x72951),x72952),f2(x72951)))+P1(f318(f318(f226(x72951),f2(x72951)),f318(f318(f74(x72951),x72952),x72953)))
% 202.92/202.78 [7296]~P76(x72961)+~P1(f318(f318(f226(x72961),x72963),f2(x72961)))+~P1(f318(f318(f226(x72961),x72962),f2(x72961)))+P1(f318(f318(f226(x72961),f2(x72961)),f318(f318(f282(x72961),x72962),x72963)))
% 202.92/202.78 [7297]~P77(x72971)+~P1(f318(f318(f226(x72971),x72973),f2(x72971)))+~P1(f318(f318(f226(x72971),x72972),f2(x72971)))+P1(f318(f318(f226(x72971),f2(x72971)),f318(f318(f282(x72971),x72972),x72973)))
% 202.92/202.78 [7298]~P135(x72981)+~P1(f318(f318(f226(a920),f2(a920)),x72983))+~P1(f318(f318(f226(x72981),f71(x72981)),x72982))+P1(f318(f318(f226(x72981),f71(x72981)),f318(f318(f235(x72981),x72982),x72983)))
% 202.92/202.78 [7400]~P140(x74001)+~P1(f318(f318(f225(x74001),f2(x74001)),x74003))+~P1(f318(f318(f225(x74001),f2(x74001)),x74002))+P1(f318(f318(f225(x74001),f2(x74001)),f318(f318(f74(x74001),x74002),x74003)))
% 202.92/202.78 [7401]~P141(x74011)+~P1(f318(f318(f225(x74011),f2(x74011)),x74013))+~P1(f318(f318(f225(x74011),f2(x74011)),x74012))+P1(f318(f318(f225(x74011),f2(x74011)),f318(f318(f74(x74011),x74012),x74013)))
% 202.92/202.78 [7402]~P131(x74021)+~P1(f318(f318(f225(x74021),f2(x74021)),x74023))+~P1(f318(f318(f225(x74021),f2(x74021)),x74022))+P1(f318(f318(f225(x74021),f2(x74021)),f318(f318(f74(x74021),x74022),x74023)))
% 202.92/202.78 [7404]~P76(x74041)+~P1(f318(f318(f225(x74041),f2(x74041)),x74043))+~P1(f318(f318(f225(x74041),f2(x74041)),x74042))+P1(f318(f318(f225(x74041),f2(x74041)),f318(f318(f282(x74041),x74042),x74043)))
% 202.92/202.78 [7405]~P77(x74051)+~P1(f318(f318(f226(x74051),f2(x74051)),x74053))+~P1(f318(f318(f225(x74051),f2(x74051)),x74052))+P1(f318(f318(f225(x74051),f2(x74051)),f318(f318(f282(x74051),x74052),x74053)))
% 202.92/202.78 [7406]~P133(x74061)+~P1(f318(f318(f226(x74061),f2(x74061)),x74063))+~P1(f318(f318(f226(x74061),f2(x74061)),x74062))+P1(f318(f318(f226(x74061),f2(x74061)),f318(f318(f74(x74061),x74062),x74063)))
% 202.92/202.78 [7409]~P95(x74091)+~P1(f318(f318(f226(x74091),f2(x74091)),x74093))+~P1(f318(f318(f226(x74091),f2(x74091)),x74092))+P1(f318(f318(f226(x74091),f2(x74091)),f318(f318(f73(x74091),x74092),x74093)))
% 202.92/202.78 [7410]~P76(x74101)+~P1(f318(f318(f226(x74101),f2(x74101)),x74103))+~P1(f318(f318(f226(x74101),f2(x74101)),x74102))+P1(f318(f318(f226(x74101),f2(x74101)),f318(f318(f282(x74101),x74102),x74103)))
% 202.92/202.78 [7411]~P77(x74111)+~P1(f318(f318(f226(x74111),f2(x74111)),x74113))+~P1(f318(f318(f226(x74111),f2(x74111)),x74112))+P1(f318(f318(f226(x74111),f2(x74111)),f318(f318(f282(x74111),x74112),x74113)))
% 202.92/202.78 [7412]~P135(x74121)+~P1(f318(f318(f226(x74121),f71(x74121)),x74123))+~P1(f318(f318(f226(x74121),f71(x74121)),x74122))+P1(f318(f318(f226(x74121),f71(x74121)),f318(f318(f74(x74121),x74122),x74123)))
% 202.92/202.78 [7491]~P104(x74911)+~P1(f318(f55(x74911),x74913))+E(f12(x74911,f318(f318(f300(x74911),x74912),x74913)),x74912)+~E(f318(f318(f3(f927(x74911,a918)),x74913),f318(f318(f300(x74911),x74912),f179(f927(x74911,a918)))),f179(f927(x74911,a918)))
% 202.92/202.78 [7492]~P104(x74921)+~P1(f318(f55(x74921),x74923))+E(f15(x74921,f318(f318(f300(x74921),x74922),x74923)),x74922)+~E(f318(f318(f3(f927(x74921,a918)),x74923),f318(f318(f300(x74921),x74922),f179(f927(x74921,a918)))),f179(f927(x74921,a918)))
% 202.92/202.78 [7493]~P4(x74931)+~P1(f318(f55(x74931),x74933))+E(f16(x74931,f318(f318(f300(x74931),x74932),x74933)),x74932)+~E(f318(f318(f3(f927(x74931,a918)),x74933),f318(f318(f300(x74931),x74932),f179(f927(x74931,a918)))),f179(f927(x74931,a918)))
% 202.92/202.78 [7494]~P4(x74941)+~P1(f318(f55(x74941),x74943))+E(f17(x74941,f318(f318(f300(x74941),x74942),x74943)),x74942)+~E(f318(f318(f3(f927(x74941,a918)),x74943),f318(f318(f300(x74941),x74942),f179(f927(x74941,a918)))),f179(f927(x74941,a918)))
% 202.92/202.78 [7496]~P131(x74961)+P1(f318(f318(f225(x74961),x74962),f2(x74961)))+P1(f318(f318(f225(x74961),f2(x74961)),x74963))+~P1(f318(f318(f225(x74961),f2(x74961)),f318(f318(f74(x74961),x74963),x74962)))
% 202.92/202.78 [7497]~P131(x74971)+P1(f318(f318(f225(x74971),x74972),f2(x74971)))+P1(f318(f318(f225(x74971),f2(x74971)),x74973))+~P1(f318(f318(f225(x74971),f2(x74971)),f318(f318(f74(x74971),x74972),x74973)))
% 202.92/202.78 [7498]~P76(x74981)+P1(f318(f318(f225(x74981),x74982),f2(x74981)))+P1(f318(f318(f225(x74981),f2(x74981)),x74983))+~P1(f318(f318(f225(x74981),f2(x74981)),f318(f318(f282(x74981),x74983),x74982)))
% 202.92/202.78 [7499]~P76(x74991)+P1(f318(f318(f225(x74991),x74992),f2(x74991)))+P1(f318(f318(f225(x74991),f2(x74991)),x74993))+~P1(f318(f318(f225(x74991),f2(x74991)),f318(f318(f282(x74991),x74992),x74993)))
% 202.92/202.78 [7500]~P131(x75001)+P1(f318(f318(f225(x75001),x75002),f2(x75001)))+P1(f318(f318(f225(x75001),f2(x75001)),x75002))+~P1(f318(f318(f225(x75001),f2(x75001)),f318(f318(f74(x75001),x75003),x75002)))
% 202.92/202.78 [7501]~P131(x75011)+P1(f318(f318(f225(x75011),x75012),f2(x75011)))+P1(f318(f318(f225(x75011),f2(x75011)),x75012))+~P1(f318(f318(f225(x75011),f2(x75011)),f318(f318(f74(x75011),x75012),x75013)))
% 202.92/202.78 [7502]~P76(x75021)+P1(f318(f318(f225(x75021),x75022),f2(x75021)))+P1(f318(f318(f225(x75021),f2(x75021)),x75022))+~P1(f318(f318(f225(x75021),f2(x75021)),f318(f318(f282(x75021),x75023),x75022)))
% 202.92/202.78 [7503]~P76(x75031)+P1(f318(f318(f225(x75031),x75032),f2(x75031)))+P1(f318(f318(f225(x75031),f2(x75031)),x75032))+~P1(f318(f318(f225(x75031),f2(x75031)),f318(f318(f282(x75031),x75032),x75033)))
% 202.92/202.78 [7504]~P76(x75041)+P1(f318(f318(f226(x75041),x75042),f2(x75041)))+P1(f318(f318(f226(x75041),f2(x75041)),x75043))+~P1(f318(f318(f226(x75041),f2(x75041)),f318(f318(f282(x75041),x75043),x75042)))
% 202.92/202.78 [7505]~P76(x75051)+P1(f318(f318(f226(x75051),x75052),f2(x75051)))+P1(f318(f318(f226(x75051),f2(x75051)),x75053))+~P1(f318(f318(f226(x75051),f2(x75051)),f318(f318(f282(x75051),x75052),x75053)))
% 202.92/202.78 [7506]~P76(x75061)+P1(f318(f318(f226(x75061),x75062),f2(x75061)))+P1(f318(f318(f226(x75061),f2(x75061)),x75062))+~P1(f318(f318(f226(x75061),f2(x75061)),f318(f318(f282(x75061),x75063),x75062)))
% 202.92/202.78 [7507]~P76(x75071)+P1(f318(f318(f226(x75071),x75072),f2(x75071)))+P1(f318(f318(f226(x75071),f2(x75071)),x75072))+~P1(f318(f318(f226(x75071),f2(x75071)),f318(f318(f282(x75071),x75072),x75073)))
% 202.92/202.78 [7592]~E(f318(f318(f92(f927(x75921,a918)),f318(f163(x75921),x75922)),f318(f163(x75921),x75923)),f179(f927(x75921,a918)))+~P1(f318(f128(x75921),x75923))+~P1(f318(f128(x75921),x75922))+P1(f318(f128(x75921),f318(f318(f125(x75921),x75922),x75923)))
% 202.92/202.78 [7593]~P4(x75931)+~P1(f318(f55(x75931),x75933))+E(f13(x75931,f223(x75931),f318(f318(f300(x75931),x75932),x75933)),x75932)+~E(f318(f318(f3(f927(x75931,a918)),x75933),f318(f318(f300(x75931),x75932),f179(f927(x75931,a918)))),f179(f927(x75931,a918)))
% 202.92/202.78 [7594]~P4(x75941)+~P1(f318(f55(x75941),x75943))+E(f14(x75941,f224(x75941),f318(f318(f300(x75941),x75942),x75943)),x75942)+~E(f318(f318(f3(f927(x75941,a918)),x75943),f318(f318(f300(x75941),x75942),f179(f927(x75941,a918)))),f179(f927(x75941,a918)))
% 202.92/202.78 [7607]~P93(x76071)+~P1(f318(f318(f225(x76071),x76072),x76073))+~P1(f318(f318(f225(x76071),f318(f72(x76071),x76072)),x76073))+P1(f318(f318(f225(x76071),f318(f69(x76071),x76072)),x76073))
% 202.92/202.78 [7608]~P116(x76081)+~P1(f318(f318(f226(x76081),x76082),x76083))+~P1(f318(f318(f226(x76081),f318(f72(x76081),x76082)),x76083))+P1(f318(f318(f226(x76081),f318(f69(x76081),x76082)),x76083))
% 202.92/202.78 [7675]~P133(x76751)+P1(f318(f318(f226(x76751),f2(x76751)),x76752))+~P1(f318(f318(f226(x76751),f2(x76751)),x76753))+~P1(f318(f318(f226(x76751),f2(x76751)),f318(f318(f74(x76751),x76753),x76752)))
% 202.92/202.78 [7676]~P133(x76761)+P1(f318(f318(f226(x76761),f2(x76761)),x76762))+~P1(f318(f318(f226(x76761),f2(x76761)),x76763))+~P1(f318(f318(f226(x76761),f2(x76761)),f318(f318(f74(x76761),x76762),x76763)))
% 202.92/202.78 [7976]E(x79761,x79762)+~P1(f318(f55(x79763),x79761))+~P1(f318(f318(f225(a920),f318(f29(x79763),x79761)),f318(f29(x79763),x79762)))+~P1(f318(f318(f225(f927(x79763,a918)),x79762),x79761))
% 202.92/202.78 [8123]~P1(f318(f318(f226(a1),x81231),f2(a1)))+~P1(f318(f318(f226(a1),f2(a1)),x81232))+~P1(f318(f318(f225(a1),x81232),x81233))+P1(f318(f318(f225(a1),f318(f318(f30(a1),x81231),x81232)),f318(f318(f30(a1),x81231),x81233)))
% 202.92/202.78 [8134]~P1(f318(f318(f225(a1),f2(a1)),x81341))+~P1(f318(f318(f226(a1),f2(a1)),x81343))+~P1(f318(f318(f225(a1),x81343),x81342))+P1(f318(f318(f225(a1),f318(f318(f30(a1),x81341),x81342)),f318(f318(f30(a1),x81341),x81343)))
% 202.92/202.78 [8269]E(f318(x82691,f377(x82692,x82691,x82693)),x82692)+~P1(f318(f318(f225(a1),x82692),f318(x82691,x82693)))+P1(f318(f318(f226(a920),f378(x82692,x82691,x82693)),x82693))+~P1(f318(f318(f225(a1),f318(x82691,f2(a920))),x82692))
% 202.92/202.78 [8270]E(f318(x82701,f379(x82702,x82701,x82703)),x82702)+~P1(f318(f318(f225(a1),x82702),f318(x82701,x82703)))+P1(f318(f318(f226(a920),f380(x82702,x82701,x82703)),x82703))+~P1(f318(f318(f225(a1),f318(x82701,f2(a920))),x82702))
% 202.92/202.78 [8375]~P1(f318(f55(x83751),x83753))+~P1(f318(f318(f226(a920),f318(f29(x83751),x83752)),f318(f29(x83751),x83753)))+~P1(f318(f318(f225(f927(x83751,a918)),x83752),x83753))+P1(f318(f318(f226(f927(x83751,a918)),x83752),x83753))
% 202.92/202.78 [8402]E(f318(f318(f73(a1),f330(x84023,x84021,x84022)),f331(x84023,x84021,x84022)),x84021)+E(f318(f318(f3(a1),x84021),x84022),x84021)+~P1(f318(f318(f226(a1),f2(a1)),x84022))+~P1(f318(f318(f320(a1),f318(f318(f3(a1),x84021),f71(a1))),x84023))
% 202.92/202.78 [8403]E(f318(f318(f3(a1),f332(x84033,x84031,x84032)),f333(x84033,x84031,x84032)),x84031)+E(f318(f318(f73(a1),x84031),x84032),x84031)+~P1(f318(f318(f226(a1),f2(a1)),x84032))+~P1(f318(f318(f320(a1),f318(f318(f73(a1),x84031),f71(a1))),x84033))
% 202.92/202.78 [8454]~P1(f318(f318(f225(a920),x84543),x84541))+P1(f318(f318(f225(a920),x84541),x84542))+~P1(f318(f318(f225(a920),x84543),x84542))+~P1(f318(f318(f225(a920),f318(f318(f3(a920),x84541),x84543)),f318(f318(f3(a920),x84542),x84543)))
% 202.92/202.78 [8455]~P1(f318(f318(f225(a920),x84553),x84551))+P1(f318(f318(f226(a920),x84551),x84552))+~P1(f318(f318(f225(a920),x84553),x84552))+~P1(f318(f318(f226(a920),f318(f318(f3(a920),x84551),x84553)),f318(f318(f3(a920),x84552),x84553)))
% 202.92/202.78 [8474]~P4(x84742)+E(x84741,f104(x84742))+~P13(x84742,f318(f159(x84742),x84741))+E(f318(f133(x84742,x84742,f318(f9(x84742,x84742,x84742),f224(x84742)),x84743),f318(f159(x84742),x84741)),f318(f318(f224(x84742),f318(f318(f155(x84742),x84741),f2(a920))),x84743))
% 202.92/202.78 [8521]~P5(x85211)+~P42(x85211,x85211,x85213)+P1(f318(f318(f225(x85211),x85212),f87(x85211,x85213)))+~P1(f318(f318(f225(x85211),x85212),f318(x85213,f318(f318(f101(x85211),x85212),f87(x85211,x85213)))))
% 202.92/202.78 [8543]E(f318(f318(f3(a1),x85431),x85432),x85431)+~P1(f318(f318(f226(a1),f2(a1)),x85432))+P1(f318(f318(f320(a1),f330(x85433,x85431,x85432)),x85433))+~P1(f318(f318(f320(a1),f318(f318(f3(a1),x85431),f71(a1))),x85433))
% 202.92/202.78 [8544]E(f318(f318(f73(a1),x85441),x85442),x85441)+~P1(f318(f318(f226(a1),f2(a1)),x85442))+P1(f318(f318(f320(a1),f332(x85443,x85441,x85442)),x85443))+~P1(f318(f318(f320(a1),f318(f318(f73(a1),x85441),f71(a1))),x85443))
% 202.92/202.78 [8616]~P1(f318(f318(f225(a1),x86161),f318(x86162,x86163)))+P1(f318(f318(f226(a920),f378(x86161,x86162,x86163)),x86163))+P1(f318(f318(f225(a920),f377(x86161,x86162,x86163)),x86163))+~P1(f318(f318(f225(a1),f318(x86162,f2(a920))),x86161))
% 202.92/202.78 [8617]~P1(f318(f318(f225(a1),x86171),f318(x86172,x86173)))+P1(f318(f318(f226(a920),f380(x86171,x86172,x86173)),x86173))+P1(f318(f318(f225(a920),f379(x86171,x86172,x86173)),x86173))+~P1(f318(f318(f225(a1),f318(x86172,f2(a920))),x86171))
% 202.92/202.78 [8694]E(f318(f318(f3(a1),x86941),x86942),x86941)+~P1(f318(f318(f226(a1),f2(a1)),x86942))+P1(f318(f318(f320(a1),f331(x86943,x86941,x86942)),f294(a1,f71(a1),x86942)))+~P1(f318(f318(f320(a1),f318(f318(f3(a1),x86941),f71(a1))),x86943))
% 202.92/202.78 [8695]E(f318(f318(f73(a1),x86951),x86952),x86951)+~P1(f318(f318(f226(a1),f2(a1)),x86952))+P1(f318(f318(f320(a1),f333(x86953,x86951,x86952)),f294(a1,f71(a1),x86952)))+~P1(f318(f318(f320(a1),f318(f318(f73(a1),x86951),f71(a1))),x86953))
% 202.92/202.78 [8828]~P135(x88281)+~P1(f318(f318(f226(x88281),x88282),f71(x88281)))+~P1(f318(f318(f226(x88281),f2(x88281)),x88282))+P1(f318(f318(f226(x88281),f318(f318(f74(x88281),x88282),f318(f318(f235(x88281),x88282),x88283))),f318(f318(f235(x88281),x88282),x88283)))
% 202.92/202.78 [8921]~P1(f318(x89211,x89212))+P1(f318(x89211,f2(a920)))+~P1(f318(f318(f226(a920),x89212),x89213))+~P1(f318(x89211,f39(a920,f318(a103,f429(x89212,x89211,x89213)),x89213)))
% 202.92/202.78 [9075]E(f510(x90751,x90752,x90753),f2(a920))+P1(f318(f318(x90751,x90753),x90752))+P1(f318(f318(x90751,f510(x90751,x90752,x90753)),f39(a920,f508(x90751,x90752,x90753),f510(x90751,x90752,x90753))))+~P1(f318(f306(f926(a920,a920),a210),f318(f318(f243(a920,a920),x90753),x90752)))
% 202.92/202.78 [9113]~P25(x91131,x91131,x91132,x91133)+E(f318(f301(x91131,x91131,x91132),x91133),x91133)+~P1(f318(f55(x91131),x91133))+~P1(f318(f318(f225(f927(x91131,a918)),f318(f301(x91131,x91131,x91132),x91133)),x91133))
% 202.92/202.78 [9184]~P5(x91841)+~P42(x91841,x91841,x91843)+P1(f318(f318(f225(x91841),f318(f318(f101(x91841),x91842),f87(x91841,x91843))),f318(x91843,f318(f318(f101(x91841),x91842),f87(x91841,x91843)))))+~P1(f318(f318(f225(x91841),x91842),f318(x91843,f318(f318(f101(x91841),x91842),f87(x91841,x91843)))))
% 202.92/202.78 [9330]P1(f318(f318(x93301,x93302),x93303))+P1(f318(f318(f226(a1),f776(x93301,x93303,x93302)),f777(x93301,x93303,x93302)))+P1(f318(f318(x93301,f776(x93301,x93303,x93302)),f318(f318(f73(a1),f777(x93301,x93303,x93302)),f71(a1))))+~P1(f318(f306(f926(a1,a1),a124),f318(f318(f243(a1,a1),x93302),x93303)))
% 202.92/202.78 [9347]P1(f318(f318(x93471,x93472),x93473))+~P1(f318(f318(f226(a1),f507(x93471,x93473,x93472)),f2(a1)))+P1(f318(f318(x93471,f318(f72(a1),f505(x93471,x93473,x93472))),f318(f72(a1),f507(x93471,x93473,x93472))))+~P1(f318(f306(f926(a1,a1),a212),f318(f318(f243(a1,a1),x93472),x93473)))
% 202.92/202.78 [9539]P1(f318(f318(x95391,x95392),x95393))+P1(f318(f318(x95391,f318(f318(f73(a1),f679(x95391,x95393,x95392)),f71(a1))),f680(x95391,x95393,x95392)))+~P1(f318(f318(f225(a1),f679(x95391,x95393,x95392)),f680(x95391,x95393,x95392)))+~P1(f318(f306(f926(a1,a1),a173),f318(f318(f243(a1,a1),x95392),x95393)))
% 202.92/202.78 [9978]~P73(x99782)+~P73(x99781)+~P1(f318(f50(f926(x99781,x99782)),x99783))+P1(f318(f50(x99781),f318(f318(f10(f927(x99782,a918),a918,x99781),f50(x99782)),f318(f318(f10(f927(x99782,f926(x99781,x99782)),f927(x99782,a918),x99781),f318(f10(f926(x99781,x99782),a918,x99782),x99783)),f243(x99781,x99782)))))
% 202.92/202.78 [9979]~P73(x99792)+~P73(x99791)+~P1(f318(f51(f926(x99791,x99792)),x99793))+P1(f318(f51(x99791),f318(f318(f10(f927(x99792,a918),a918,x99791),f51(x99792)),f318(f318(f10(f927(x99792,f926(x99791,x99792)),f927(x99792,a918),x99791),f318(f10(f926(x99791,x99792),a918,x99792),x99793)),f243(x99791,x99792)))))
% 202.92/202.78 [10077]~P73(x100772)+~P73(x100771)+P1(f318(f50(f926(x100771,x100772)),x100773))+~P1(f318(f50(x100771),f318(f318(f10(f927(x100772,a918),a918,x100771),f50(x100772)),f318(f318(f10(f927(x100772,f926(x100771,x100772)),f927(x100772,a918),x100771),f318(f10(f926(x100771,x100772),a918,x100772),x100773)),f243(x100771,x100772)))))
% 202.92/202.78 [10078]~P73(x100782)+~P73(x100781)+P1(f318(f51(f926(x100781,x100782)),x100783))+~P1(f318(f51(x100781),f318(f318(f10(f927(x100782,a918),a918,x100781),f51(x100782)),f318(f318(f10(f927(x100782,f926(x100781,x100782)),f927(x100782,a918),x100781),f318(f10(f926(x100781,x100782),a918,x100782),x100783)),f243(x100781,x100782)))))
% 202.92/202.78 [10250]E(f318(x102501,f377(x102502,x102501,x102503)),x102502)+~P1(f318(f318(f225(a1),x102502),f318(x102501,x102503)))+~P1(f318(f318(f225(a1),f318(f69(a1),f318(f318(f3(a1),f318(x102501,f318(f318(f73(a920),f378(x102502,x102501,x102503)),f71(a920)))),f318(x102501,f378(x102502,x102501,x102503))))),f71(a1)))+~P1(f318(f318(f225(a1),f318(x102501,f2(a920))),x102502))
% 202.92/202.78 [10251]E(f318(x102511,f379(x102512,x102511,x102513)),x102512)+~P1(f318(f318(f225(a1),x102512),f318(x102511,x102513)))+~P1(f318(f318(f225(a1),f318(f69(a1),f318(f318(f3(a1),f318(x102511,f318(f318(f73(a920),f380(x102512,x102511,x102513)),f71(a920)))),f318(x102511,f380(x102512,x102511,x102513))))),f71(a1)))+~P1(f318(f318(f225(a1),f318(x102511,f2(a920))),x102512))
% 202.92/202.78 [10254]~P1(f318(f318(f225(a1),x102541),f318(x102542,x102543)))+~P1(f318(f318(f225(a1),f318(f69(a1),f318(f318(f3(a1),f318(x102542,f318(f318(f73(a920),f378(x102541,x102542,x102543)),f71(a920)))),f318(x102542,f378(x102541,x102542,x102543))))),f71(a1)))+P1(f318(f318(f225(a920),f377(x102541,x102542,x102543)),x102543))+~P1(f318(f318(f225(a1),f318(x102542,f2(a920))),x102541))
% 202.92/202.78 [10255]~P1(f318(f318(f225(a1),x102551),f318(x102552,x102553)))+~P1(f318(f318(f225(a1),f318(f69(a1),f318(f318(f3(a1),f318(x102552,f318(f318(f73(a920),f380(x102551,x102552,x102553)),f71(a920)))),f318(x102552,f380(x102551,x102552,x102553))))),f71(a1)))+P1(f318(f318(f225(a920),f379(x102551,x102552,x102553)),x102553))+~P1(f318(f318(f225(a1),f318(x102552,f2(a920))),x102551))
% 202.92/202.78 [10313]E(x103131,x103132)+~E(f318(f133(f921(x103133),f921(x103133),f125(x103133),f104(x103133)),x103131),f318(f133(f921(x103133),f921(x103133),f125(x103133),f104(x103133)),x103132))+~E(f318(f180(f921(f921(x103133))),x103131),f318(f180(f921(f921(x103133))),x103132))+~P1(f318(f318(f248(f921(x103133),f921(x103133),a918),f318(f318(f9(f921(x103133),f927(f921(x103133),a920),f927(f921(x103133),a918)),f318(f318(f10(f927(a920,a918),f927(f927(f921(x103133),a920),f927(f921(x103133),a918)),f921(x103133)),f10(a920,a918,f921(x103133))),f318(f318(f10(a920,f927(a920,a918),f921(x103133)),a315),f180(f921(x103133))))),f180(f921(x103133)))),f707(x103132,x103131,x103133)))
% 202.92/202.78 [10314]E(x103141,x103142)+~E(f318(f133(f921(x103143),f921(x103143),f125(x103143),f104(x103143)),x103141),f318(f133(f921(x103143),f921(x103143),f125(x103143),f104(x103143)),x103142))+~E(f318(f180(f921(f921(x103143))),x103141),f318(f180(f921(f921(x103143))),x103142))+~P1(f318(f318(f248(f921(x103143),f921(x103143),a918),f318(f318(f9(f921(x103143),f927(f921(x103143),a920),f927(f921(x103143),a918)),f318(f318(f10(f927(a920,a918),f927(f927(f921(x103143),a920),f927(f921(x103143),a918)),f921(x103143)),f10(a920,a918,f921(x103143))),f318(f318(f10(a920,f927(a920,a918),f921(x103143)),a315),f180(f921(x103143))))),f180(f921(x103143)))),f708(x103141,x103142,x103143)))
% 202.92/202.78 [6996]~E(f71(a920),f2(a920))+~P1(f318(f55(x69961),x69963))+~P1(f318(f55(x69961),x69962))+E(f318(f318(f73(a920),f318(f29(x69961),x69962)),f318(f29(x69961),x69963)),f318(f29(x69961),f318(f318(f101(f927(x69961,a918)),x69962),x69963)))
% 202.92/202.78 [7419]~P103(x74191)+~P1(f318(f55(x74191),x74192))+~P1(f318(f318(f320(x74191),x74193),x74192))+P1(f318(f318(f225(x74191),f318(f57(x74191,f92(x74191)),x74192)),x74193))
% 202.92/202.78 [7420]~P4(x74201)+~P1(f318(f55(x74201),x74202))+~P1(f318(f318(f320(x74201),x74203),x74202))+P1(f318(f318(f225(x74201),f318(f57(x74201,f223(x74201)),x74202)),x74203))
% 202.92/202.78 [7669]~P1(f318(f55(x76691),x76693))+~P1(f318(f55(x76691),x76692))+~E(f318(f318(f92(f927(x76691,a918)),x76692),x76693),f179(f927(x76691,a918)))+E(f318(f318(f73(a920),f318(f29(x76691),x76692)),f318(f29(x76691),x76693)),f318(f29(x76691),f318(f318(f101(f927(x76691,a918)),x76692),x76693)))
% 202.92/202.78 [8460]~P39(x84601,x84603)+~P39(x84601,x84602)+~E(f318(f318(f92(f927(x84601,a918)),f318(f255(x84601,x84601),x84602)),f318(f275(x84601,x84601),x84603)),f179(f927(x84601,a918)))+P39(x84601,f318(f318(f101(f927(f926(x84601,x84601),a918)),x84602),x84603))
% 202.92/202.78 [8555]E(x85551,f318(f318(f30(a920),x85552),x85553))+~P1(f318(f318(f226(a920),f2(a920)),x85553))+~P1(f318(f318(f226(a920),x85552),f318(f318(f74(a920),x85553),f318(a103,x85551))))+~P1(f318(f318(f225(a920),f318(f318(f74(a920),x85553),x85551)),x85552))
% 202.92/202.78 [8692]~P1(f318(f55(x86921),x86922))+~P1(f318(f55(x86921),x86923))+E(f318(f318(f73(a920),f318(f29(x86921),x86922)),f318(f29(x86921),x86923)),f318(f29(x86921),f318(f318(f101(f927(x86921,a918)),x86922),x86923)))+P1(f318(f318(f320(x86921),f359(x86923,x86922,x86921)),f318(f318(f92(f927(x86921,a918)),x86922),x86923)))
% 202.92/202.78 [9087]~P131(x90872)+~E(x90871,f2(x90872))+~E(x90873,f2(x90872))+~P1(f318(f318(f226(x90872),f2(x90872)),f318(f318(f73(x90872),f318(f318(f74(x90872),x90873),x90873)),f318(f318(f74(x90872),x90871),x90871))))
% 202.92/202.78 [9621]~P39(x96211,x96213)+~P39(x96211,x96212)+P39(x96211,f318(f318(f101(f927(f926(x96211,x96211),a918)),x96212),x96213))+~P1(f318(f318(f225(f927(f926(x96211,x96211),a918)),f318(f318(f280(x96211,x96211,x96211),x96212),x96213)),x96212))
% 202.92/202.78 [9750]~P1(f318(x97501,x97503))+~P1(f318(f55(x97502),x97503))+P1(f318(x97501,f179(f927(x97502,a918))))+~P1(f318(x97501,f318(f318(f3(f927(x97502,a918)),f353(x97501,x97503,x97502)),f318(f318(f300(x97502),f363(x97501,x97503,x97502)),f179(f927(x97502,a918))))))
% 202.92/202.78 [8868]~P1(f318(f318(f226(a1),f2(a1)),x88683))+P1(f318(f318(f225(a1),f2(a1)),x88681))+~P1(f318(f318(f226(a1),x88682),x88683))+~P1(f318(f318(f225(a1),f2(a1)),f318(f318(f73(a1),f318(f318(f74(a1),x88683),x88681)),x88682)))
% 202.92/202.78 [8892]~P104(x88921)+~P1(f318(f55(x88921),x88922))+E(f318(f318(f3(f927(x88921,a918)),x88922),f318(f318(f300(x88921),x88923),f179(f927(x88921,a918)))),f179(f927(x88921,a918)))+E(f318(f318(f92(x88921),x88923),f12(x88921,f318(f318(f3(f927(x88921,a918)),x88922),f318(f318(f300(x88921),x88923),f179(f927(x88921,a918)))))),f12(x88921,f318(f318(f300(x88921),x88923),x88922)))
% 202.92/202.78 [8893]~P104(x88931)+~P1(f318(f55(x88931),x88932))+E(f318(f318(f3(f927(x88931,a918)),x88932),f318(f318(f300(x88931),x88933),f179(f927(x88931,a918)))),f179(f927(x88931,a918)))+E(f318(f318(f101(x88931),x88933),f15(x88931,f318(f318(f3(f927(x88931,a918)),x88932),f318(f318(f300(x88931),x88933),f179(f927(x88931,a918)))))),f15(x88931,f318(f318(f300(x88931),x88933),x88932)))
% 202.92/202.78 [8894]~P4(x88941)+~P1(f318(f55(x88941),x88942))+E(f318(f318(f3(f927(x88941,a918)),x88942),f318(f318(f300(x88941),x88943),f179(f927(x88941,a918)))),f179(f927(x88941,a918)))+E(f318(f318(f223(x88941),x88943),f16(x88941,f318(f318(f3(f927(x88941,a918)),x88942),f318(f318(f300(x88941),x88943),f179(f927(x88941,a918)))))),f16(x88941,f318(f318(f300(x88941),x88943),x88942)))
% 202.92/202.78 [8895]~P4(x88951)+~P1(f318(f55(x88951),x88952))+E(f318(f318(f3(f927(x88951,a918)),x88952),f318(f318(f300(x88951),x88953),f179(f927(x88951,a918)))),f179(f927(x88951,a918)))+E(f318(f318(f224(x88951),x88953),f17(x88951,f318(f318(f3(f927(x88951,a918)),x88952),f318(f318(f300(x88951),x88953),f179(f927(x88951,a918)))))),f17(x88951,f318(f318(f300(x88951),x88953),x88952)))
% 202.92/202.78 [8968]~P4(x89681)+~P1(f318(f55(x89681),x89682))+E(f318(f318(f3(f927(x89681,a918)),x89682),f318(f318(f300(x89681),x89683),f179(f927(x89681,a918)))),f179(f927(x89681,a918)))+E(f318(f318(f223(x89681),x89683),f13(x89681,f223(x89681),f318(f318(f3(f927(x89681,a918)),x89682),f318(f318(f300(x89681),x89683),f179(f927(x89681,a918)))))),f13(x89681,f223(x89681),f318(f318(f300(x89681),x89683),x89682)))
% 202.92/202.78 [8969]~P4(x89691)+~P1(f318(f55(x89691),x89692))+E(f318(f318(f3(f927(x89691,a918)),x89692),f318(f318(f300(x89691),x89693),f179(f927(x89691,a918)))),f179(f927(x89691,a918)))+E(f318(f318(f224(x89691),x89693),f14(x89691,f224(x89691),f318(f318(f3(f927(x89691,a918)),x89692),f318(f318(f300(x89691),x89693),f179(f927(x89691,a918)))))),f14(x89691,f224(x89691),f318(f318(f300(x89691),x89693),x89692)))
% 202.92/202.78 [9352]~P5(x93521)+~P42(x93521,x93521,x93522)+P1(f318(f318(f225(x93521),f86(x93521,x93522)),x93523))+~P1(f318(f318(f225(x93521),f318(x93522,f318(f318(f92(x93521),f86(x93521,x93522)),x93523))),x93523))
% 202.92/202.78 [9558]E(x95581,x95582)+~E(f318(f133(f921(x95583),f921(x95583),f125(x95583),f104(x95583)),x95581),f318(f133(f921(x95583),f921(x95583),f125(x95583),f104(x95583)),x95582))+~E(f318(f180(f921(f921(x95583))),x95581),f318(f180(f921(f921(x95583))),x95582))+P1(f318(f318(f320(f926(f921(x95583),f921(x95583))),f707(x95582,x95581,x95583)),f318(f163(f926(f921(x95583),f921(x95583))),f318(f318(f172(f921(x95583),f921(x95583)),x95581),x95582))))
% 202.92/202.78 [9559]E(x95591,x95592)+~E(f318(f133(f921(x95593),f921(x95593),f125(x95593),f104(x95593)),x95591),f318(f133(f921(x95593),f921(x95593),f125(x95593),f104(x95593)),x95592))+~E(f318(f180(f921(f921(x95593))),x95591),f318(f180(f921(f921(x95593))),x95592))+P1(f318(f318(f320(f926(f921(x95593),f921(x95593))),f708(x95591,x95592,x95593)),f318(f163(f926(f921(x95593),f921(x95593))),f318(f318(f172(f921(x95593),f921(x95593)),x95592),x95591))))
% 202.92/202.78 [10418]~P107(x104182)+E(x104181,f179(f927(x104182,a918)))+~P1(f318(f55(x104182),x104181))+E(f15(x104182,f318(f253(x104182),f318(f318(f10(f927(x104182,a918),a918,x104182),f80(x104182)),f318(f318(f9(x104182,f927(x104182,a918),f927(x104182,a918)),f318(f318(f10(f927(x104182,f927(a918,a918)),f927(f927(x104182,a918),f927(x104182,a918)),x104182),f20(x104182,a918,a918)),f318(f318(f10(f927(x104182,a918),f927(x104182,f927(a918,a918)),x104182),f318(f10(a918,f927(a918,a918),x104182),a316)),f318(f318(f9(x104182,f927(x104182,x104182),f927(x104182,a918)),f318(f318(f10(f927(x104182,a918),f927(f927(x104182,x104182),f927(x104182,a918)),x104182),f10(x104182,a918,x104182)),a315)),f318(f92(x104182),x104183))))),f318(f318(f9(x104182,f927(x104182,a918),a918),f320(x104182)),x104181))))),f318(f318(f92(x104182),x104183),f15(x104182,x104181)))
% 202.92/202.78 [10419]~P107(x104192)+E(x104191,f179(f927(x104192,a918)))+~P1(f318(f55(x104192),x104191))+E(f12(x104192,f318(f253(x104192),f318(f318(f10(f927(x104192,a918),a918,x104192),f80(x104192)),f318(f318(f9(x104192,f927(x104192,a918),f927(x104192,a918)),f318(f318(f10(f927(x104192,f927(a918,a918)),f927(f927(x104192,a918),f927(x104192,a918)),x104192),f20(x104192,a918,a918)),f318(f318(f10(f927(x104192,a918),f927(x104192,f927(a918,a918)),x104192),f318(f10(a918,f927(a918,a918),x104192),a316)),f318(f318(f9(x104192,f927(x104192,x104192),f927(x104192,a918)),f318(f318(f10(f927(x104192,a918),f927(f927(x104192,x104192),f927(x104192,a918)),x104192),f10(x104192,a918,x104192)),a315)),f318(f101(x104192),x104193))))),f318(f318(f9(x104192,f927(x104192,a918),a918),f320(x104192)),x104191))))),f318(f318(f101(x104192),x104193),f12(x104192,x104191)))
% 202.92/202.78 [10420]~P87(x104202)+E(x104201,f179(f927(x104202,a918)))+~P1(f318(f55(x104202),x104201))+E(f16(x104202,f318(f253(x104202),f318(f318(f10(f927(x104202,a918),a918,x104202),f80(x104202)),f318(f318(f9(x104202,f927(x104202,a918),f927(x104202,a918)),f318(f318(f10(f927(x104202,f927(a918,a918)),f927(f927(x104202,a918),f927(x104202,a918)),x104202),f20(x104202,a918,a918)),f318(f318(f10(f927(x104202,a918),f927(x104202,f927(a918,a918)),x104202),f318(f10(a918,f927(a918,a918),x104202),a316)),f318(f318(f9(x104202,f927(x104202,x104202),f927(x104202,a918)),f318(f318(f10(f927(x104202,a918),f927(f927(x104202,x104202),f927(x104202,a918)),x104202),f10(x104202,a918,x104202)),a315)),f318(f73(x104202),x104203))))),f318(f318(f9(x104202,f927(x104202,a918),a918),f320(x104202)),x104201))))),f318(f318(f73(x104202),x104203),f16(x104202,x104201)))
% 202.92/202.78 [10421]~P87(x104212)+E(x104211,f179(f927(x104212,a918)))+~P1(f318(f55(x104212),x104211))+E(f17(x104212,f318(f253(x104212),f318(f318(f10(f927(x104212,a918),a918,x104212),f80(x104212)),f318(f318(f9(x104212,f927(x104212,a918),f927(x104212,a918)),f318(f318(f10(f927(x104212,f927(a918,a918)),f927(f927(x104212,a918),f927(x104212,a918)),x104212),f20(x104212,a918,a918)),f318(f318(f10(f927(x104212,a918),f927(x104212,f927(a918,a918)),x104212),f318(f10(a918,f927(a918,a918),x104212),a316)),f318(f318(f9(x104212,f927(x104212,x104212),f927(x104212,a918)),f318(f318(f10(f927(x104212,a918),f927(f927(x104212,x104212),f927(x104212,a918)),x104212),f10(x104212,a918,x104212)),a315)),f318(f73(x104212),x104213))))),f318(f318(f9(x104212,f927(x104212,a918),a918),f320(x104212)),x104211))))),f318(f318(f73(x104212),x104213),f17(x104212,x104211)))
% 202.92/202.78 [10422]~P4(x104222)+E(x104221,f179(f927(x104222,a918)))+~P1(f318(f55(x104222),x104221))+E(f14(x104222,f224(x104222),f318(f253(x104222),f318(f318(f10(f927(x104222,a918),a918,x104222),f80(x104222)),f318(f318(f9(x104222,f927(x104222,a918),f927(x104222,a918)),f318(f318(f10(f927(x104222,f927(a918,a918)),f927(f927(x104222,a918),f927(x104222,a918)),x104222),f20(x104222,a918,a918)),f318(f318(f10(f927(x104222,a918),f927(x104222,f927(a918,a918)),x104222),f318(f10(a918,f927(a918,a918),x104222),a316)),f318(f318(f9(x104222,f927(x104222,x104222),f927(x104222,a918)),f318(f318(f10(f927(x104222,a918),f927(f927(x104222,x104222),f927(x104222,a918)),x104222),f10(x104222,a918,x104222)),a315)),f318(f223(x104222),x104223))))),f318(f318(f9(x104222,f927(x104222,a918),a918),f320(x104222)),x104221))))),f318(f318(f223(x104222),x104223),f14(x104222,f224(x104222),x104221)))
% 202.92/202.78 [10423]~P4(x104232)+E(x104231,f179(f927(x104232,a918)))+~P1(f318(f55(x104232),x104231))+E(f13(x104232,f223(x104232),f318(f253(x104232),f318(f318(f10(f927(x104232,a918),a918,x104232),f80(x104232)),f318(f318(f9(x104232,f927(x104232,a918),f927(x104232,a918)),f318(f318(f10(f927(x104232,f927(a918,a918)),f927(f927(x104232,a918),f927(x104232,a918)),x104232),f20(x104232,a918,a918)),f318(f318(f10(f927(x104232,a918),f927(x104232,f927(a918,a918)),x104232),f318(f10(a918,f927(a918,a918),x104232),a316)),f318(f318(f9(x104232,f927(x104232,x104232),f927(x104232,a918)),f318(f318(f10(f927(x104232,a918),f927(f927(x104232,x104232),f927(x104232,a918)),x104232),f10(x104232,a918,x104232)),a315)),f318(f224(x104232),x104233))))),f318(f318(f9(x104232,f927(x104232,a918),a918),f320(x104232)),x104231))))),f318(f318(f224(x104232),x104233),f13(x104232,f223(x104232),x104231)))
% 202.92/202.78 [10141]~P116(x101411)+~E(x101413,f2(x101411))+~E(x101412,f2(x101411))+E(f318(f318(f73(x101411),f318(f318(f235(x101411),x101412),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88))))),f318(f318(f235(x101411),x101413),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88))))),f2(x101411))
% 202.92/202.78 [10294]~P135(x102941)+~P1(f318(f318(f225(x102941),f2(x102941)),x102943))+P1(f318(f318(f225(x102941),x102942),x102943))+~P1(f318(f318(f225(x102941),f318(f318(f235(x102941),x102942),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88))))),f318(f318(f235(x102941),x102943),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88))))))
% 202.92/202.78 [10350]~P116(x103502)+~E(x103501,f2(x103502))+~E(x103503,f2(x103502))+~P1(f318(f318(f226(x103502),f2(x103502)),f318(f318(f73(x103502),f318(f318(f235(x103502),x103503),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88))))),f318(f318(f235(x103502),x103501),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))))))
% 202.92/202.78 [6162]~P4(x61621)+~P113(x61622)+~P52(x61621,x61622,x61623)+P25(x61621,x61622,x61623,x61624)
% 202.92/202.78 [6876]~P7(x68763,x68762)+~P1(f318(x68761,x68764))+~P1(f318(f318(f320(x68763),x68764),f261(x68763,x68762)))+P1(f318(x68761,f825(x68761,x68762,x68763)))
% 202.92/202.78 [8803]P26(x88031,x88032,f829(x88033,x88032,x88034,x88031),x88034,x88033)+~E(f318(f29(x88031),x88034),f318(f29(x88032),x88033))+~P1(f318(f55(x88032),x88033))+~P1(f318(f55(x88031),x88034))
% 202.92/202.78 [9521]E(x95211,x95212)+~E(f650(x95211,x95212,x95214,x95213),f655(x95211,x95212,x95214,x95213))+P1(f318(f318(f320(f926(f921(x95213),f921(x95213))),f318(f318(f243(f921(x95213),f921(x95213)),x95212),x95211)),f138(x95213,x95214)))+P1(f318(f318(f320(f926(f921(x95213),f921(x95213))),f318(f318(f243(f921(x95213),f921(x95213)),x95211),x95212)),f138(x95213,x95214)))
% 202.92/202.78 [5001]~P74(x50012)+~E(x50014,f2(x50012))+~E(x50011,f2(x50012))+E(x50011,f318(f318(f282(x50012),x50013),x50014))
% 202.92/202.78 [5002]~P74(x50021)+~E(x50023,f2(x50021))+~E(x50024,f2(x50021))+E(f318(f318(f282(x50021),x50022),x50023),x50024)
% 202.92/202.78 [5119]~P74(x51192)+E(x51191,f2(x51192))+~E(x51193,f2(x51192))+~E(x51191,f318(f318(f282(x51192),x51194),x51193))
% 202.92/202.78 [5120]~P74(x51202)+E(x51201,f2(x51202))+~E(x51203,f2(x51202))+~E(f318(f318(f282(x51202),x51204),x51203),x51201)
% 202.92/202.78 [5307]~P125(x53072)+E(x53071,f2(x53072))+~E(f318(f318(f282(x53072),x53073),x53071),x53074)+E(x53073,f318(f318(f74(x53072),x53074),x53071))
% 202.92/202.78 [5309]~P125(x53092)+E(x53091,f2(x53092))+~E(f318(f318(f74(x53092),x53093),x53091),x53094)+E(x53093,f318(f318(f282(x53092),x53094),x53091))
% 202.92/202.78 [5310]~P74(x53102)+E(x53101,f2(x53102))+~E(f318(f318(f282(x53102),x53103),x53101),x53104)+E(x53103,f318(f318(f74(x53102),x53104),x53101))
% 202.92/202.78 [5311]~P74(x53112)+E(x53111,f2(x53112))+~E(f318(f318(f74(x53112),x53113),x53111),x53114)+E(x53113,f318(f318(f282(x53112),x53114),x53111))
% 202.92/202.78 [5312]~P125(x53122)+E(x53121,f2(x53122))+~E(x53123,f318(f318(f282(x53122),x53124),x53121))+E(f318(f318(f74(x53122),x53123),x53121),x53124)
% 202.92/202.78 [5314]~P125(x53142)+E(x53141,f2(x53142))+~E(x53143,f318(f318(f74(x53142),x53144),x53141))+E(f318(f318(f282(x53142),x53143),x53141),x53144)
% 202.92/202.78 [5315]~P74(x53152)+E(x53151,f2(x53152))+~E(x53153,f318(f318(f282(x53152),x53154),x53151))+E(f318(f318(f74(x53152),x53153),x53151),x53154)
% 202.92/202.78 [5316]~P74(x53162)+E(x53161,f2(x53162))+~E(x53163,f318(f318(f74(x53162),x53164),x53161))+E(f318(f318(f282(x53162),x53163),x53161),x53164)
% 202.92/202.78 [5340]~P74(x53402)+~E(x53401,f2(x53402))+~E(f318(f318(f74(x53402),x53401),x53404),x53403)+E(x53401,f318(f318(f282(x53402),x53403),x53404))
% 202.92/202.78 [5341]~P74(x53411)+~E(x53414,f2(x53411))+~E(x53412,f318(f318(f74(x53411),x53414),x53413))+E(f318(f318(f282(x53411),x53412),x53413),x53414)
% 202.92/202.78 [5415]~E(x54153,x54154)+~E(x54152,x54153)+~P113(x54151)+E(f294(x54151,x54152,x54153),f318(f318(f300(x54151),x54154),f179(f927(x54151,a918))))
% 202.92/202.78 [5616]~E(f105(x56162,x56161),x56163)+~E(f135(x56162,x56161),x56164)+E(x56161,f104(x56162))+E(f318(f318(f125(x56162),x56163),f318(f318(f142(x56162),x56164),f104(x56162))),x56161)
% 202.92/202.78 [6256]~P135(x62563)+E(x62561,x62562)+~E(f318(f318(f235(x62563),x62564),x62561),f318(f318(f235(x62563),x62564),x62562))+~P1(f318(f318(f226(x62563),f71(x62563)),x62564))
% 202.92/202.78 [6257]E(x62571,x62572)+~E(f318(f318(f300(x62573),x62574),x62571),f318(f318(f300(x62573),x62574),x62572))+P1(f318(f318(f320(x62573),x62574),x62572))+P1(f318(f318(f320(x62573),x62574),x62571))
% 202.92/202.78 [6300]E(f318(x63001,x63002),f2(a920))+~E(f318(f318(f8(x63003,a920),x63001),x63004),f2(a920))+~P1(f318(f55(x63003),x63004))+~P1(f318(f318(f320(x63003),x63002),x63004))
% 202.92/202.78 [6301]E(f318(x63011,x63012),f71(a920))+~E(f318(f318(f11(x63013,a920),x63011),x63014),f71(a920))+~P1(f318(f55(x63013),x63014))+~P1(f318(f318(f320(x63013),x63012),x63014))
% 202.92/202.78 [6523]~P113(x65231)+~P1(f318(f318(f225(x65231),x65234),x65233))+P1(f318(f318(f225(x65231),x65232),x65233))+~P1(f318(f318(f225(x65231),x65232),x65234))
% 202.92/202.78 [6524]~P2(x65241)+~P1(f318(f318(f225(x65241),x65242),x65244))+P1(f318(f318(f225(x65241),x65242),x65243))+~P1(f318(f318(f225(x65241),x65244),x65243))
% 202.92/202.78 [6525]~P113(x65251)+~P1(f318(f318(f226(x65251),x65254),x65253))+P1(f318(f318(f226(x65251),x65252),x65253))+~P1(f318(f318(f225(x65251),x65252),x65254))
% 202.92/202.78 [6526]~P113(x65261)+~P1(f318(f318(f226(x65261),x65262),x65264))+P1(f318(f318(f226(x65261),x65262),x65263))+~P1(f318(f318(f225(x65261),x65264),x65263))
% 202.92/202.78 [6527]~P113(x65271)+~P1(f318(f318(f226(x65271),x65274),x65273))+P1(f318(f318(f226(x65271),x65272),x65273))+~P1(f318(f318(f226(x65271),x65272),x65274))
% 202.92/202.78 [6528]~P2(x65281)+~P1(f318(f318(f226(x65281),x65282),x65284))+P1(f318(f318(f226(x65281),x65282),x65283))+~P1(f318(f318(f225(x65281),x65284),x65283))
% 202.92/202.78 [6529]~P2(x65291)+~P1(f318(f318(f226(x65291),x65294),x65293))+P1(f318(f318(f226(x65291),x65292),x65293))+~P1(f318(f318(f225(x65291),x65292),x65294))
% 202.92/202.78 [6530]~P2(x65301)+~P1(f318(f318(f226(x65301),x65302),x65304))+P1(f318(f318(f226(x65301),x65302),x65303))+~P1(f318(f318(f226(x65301),x65304),x65303))
% 202.92/202.78 [6613]~P37(x66134,x66133,x66132)+E(x66131,f769(x66132,x66133,x66134))+~P1(f318(x66133,x66131))+~P1(f318(f318(f320(x66134),x66131),f318(f163(x66134),x66132)))
% 202.92/202.78 [6614]~P37(x66144,x66143,x66142)+E(x66141,f772(x66142,x66143,x66144))+~P1(f318(x66143,x66141))+~P1(f318(f318(f320(x66144),x66141),f318(f163(x66144),x66142)))
% 202.92/202.78 [6767]~P5(x67671)+~P1(f318(f318(f225(x67671),x67672),f32(x67671,x67674)))+P1(f318(f318(f225(x67671),x67672),x67673))+~P1(f318(f318(f320(x67671),x67673),x67674))
% 202.92/202.78 [6917]~P4(x69171)+~P13(x69171,f318(f318(f142(x69171),x69172),x69174))+~P1(f318(f318(f320(x69171),x69173),f318(f163(x69171),x69174)))+P1(f318(f318(f225(x69171),x69172),x69173))
% 202.92/202.78 [7007]~P5(x70071)+~P1(f318(f318(f225(x70071),f31(x70071,x70074)),x70073))+P1(f318(f318(f225(x70071),x70072),x70073))+~P1(f318(f318(f320(x70071),x70072),x70074))
% 202.92/202.78 [7422]~P4(x74221)+E(f318(f318(f101(f927(x74221,a918)),f318(f293(x74221,x74222),x74223)),f318(f293(x74221,x74223),x74224)),f318(f293(x74221,x74222),x74224))+~P1(f318(f318(f225(x74221),x74223),x74224))+~P1(f318(f318(f225(x74221),x74222),x74223))
% 202.92/202.78 [7466]P37(x74661,x74662,x74663)+~E(f773(x74663,x74662,x74661,x74664),x74664)+~P1(f318(x74662,x74664))+~P1(f318(f318(f320(x74661),x74664),f318(f163(x74661),x74663)))
% 202.92/202.78 [7467]P37(x74671,x74672,x74673)+~E(f781(x74673,x74672,x74671,x74674),x74674)+~P1(f318(x74672,x74674))+~P1(f318(f318(f320(x74671),x74674),f318(f163(x74671),x74673)))
% 202.92/202.78 [7541]~P4(x75411)+E(f318(f318(f101(f927(x75411,a918)),f318(f293(x75411,x75412),x75413)),f294(x75411,x75413,x75414)),f294(x75411,x75412,x75414))+~P1(f318(f318(f225(x75411),x75413),x75414))+~P1(f318(f318(f225(x75411),x75412),x75413))
% 202.92/202.78 [7602]~P4(x76021)+E(f318(f318(f101(f927(x76021,a918)),f297(x76021,x76022,x76023)),f318(f293(x76021,x76023),x76024)),f297(x76021,x76022,x76024))+~P1(f318(f318(f225(x76021),x76023),x76024))+~P1(f318(f318(f226(x76021),x76022),x76023))
% 202.92/202.78 [7619]~P4(x76191)+E(f318(f318(f101(f927(x76191,a918)),f294(x76191,x76192,x76193)),f297(x76191,x76193,x76194)),f318(f293(x76191,x76192),x76194))+~P1(f318(f318(f225(x76191),x76192),x76193))+~P1(f318(f318(f226(x76191),x76193),x76194))
% 202.92/202.78 [7650]~P4(x76501)+E(f318(f318(f101(f927(x76501,a918)),f297(x76501,x76502,x76503)),f294(x76501,x76503,x76504)),f296(x76501,x76502,x76504))+~P1(f318(f318(f225(x76501),x76503),x76504))+~P1(f318(f318(f226(x76501),x76502),x76503))
% 202.92/202.78 [7651]~P4(x76511)+E(f318(f318(f101(f927(x76511,a918)),f296(x76511,x76512,x76513)),f297(x76511,x76513,x76514)),f297(x76511,x76512,x76514))+~P1(f318(f318(f225(x76511),x76512),x76513))+~P1(f318(f318(f226(x76511),x76513),x76514))
% 202.92/202.78 [7652]~P4(x76521)+E(f318(f318(f101(f927(x76521,a918)),f296(x76521,x76522,x76523)),f296(x76521,x76523,x76524)),f296(x76521,x76522,x76524))+~P1(f318(f318(f225(x76521),x76523),x76524))+~P1(f318(f318(f225(x76521),x76522),x76523))
% 202.92/202.78 [7653]~P4(x76531)+E(f318(f318(f101(f927(x76531,a918)),f294(x76531,x76532,x76533)),f296(x76531,x76533,x76534)),f294(x76531,x76532,x76534))+~P1(f318(f318(f225(x76531),x76533),x76534))+~P1(f318(f318(f225(x76531),x76532),x76533))
% 202.92/202.78 [8444]P25(x84441,x84442,f358(x84443,x84442,x84444,x84441),x84444)+~P1(f318(f55(x84442),x84443))+~P1(f318(f55(x84441),x84444))+~P1(f318(f318(f225(a920),f318(f29(x84441),x84444)),f318(f29(x84442),x84443)))
% 202.92/202.78 [8465]P37(x84651,x84652,x84653)+~P1(f318(x84652,x84654))+P1(f318(x84652,f773(x84653,x84652,x84651,x84654)))+~P1(f318(f318(f320(x84651),x84654),f318(f163(x84651),x84653)))
% 202.92/202.78 [8466]P37(x84661,x84662,x84663)+~P1(f318(x84662,x84664))+P1(f318(x84662,f781(x84663,x84662,x84661,x84664)))+~P1(f318(f318(f320(x84661),x84664),f318(f163(x84661),x84663)))
% 202.92/202.78 [8520]~P84(x85201)+~E(f318(x85203,f428(x85203,x85204,x85202,x85201)),f71(x85201))+E(f318(f318(f318(f59(x85201,x85202,f74(x85201)),x85203),f71(x85201)),x85204),f71(x85201))+~P1(f318(f55(x85202),x85204))
% 202.92/202.78 [8792]~P135(x87921)+~P1(f318(f318(f225(x87921),f2(x87921)),x87923))+P1(f318(f318(f225(x87921),x87922),x87923))+~P1(f318(f318(f225(x87921),f318(f318(f235(x87921),x87922),f318(a103,x87924))),f318(f318(f235(x87921),x87923),f318(a103,x87924))))
% 202.92/202.78 [8967]~P42(f927(x89674,a918),f927(x89674,a918),x89673)+P1(f318(x89671,x89672))+~P1(f318(x89671,f608(x89671,x89673,x89672,x89674)))+~P1(f318(f318(f320(x89674),x89672),f86(f927(x89674,a918),x89673)))
% 202.92/202.78 [9114]P37(x91141,x91142,x91143)+~P1(f318(x91142,x91144))+~P1(f318(f318(f320(x91141),x91144),f318(f163(x91141),x91143)))+P1(f318(f318(f320(x91141),f773(x91143,x91142,x91141,x91144)),f318(f163(x91141),x91143)))
% 202.92/202.78 [9115]P37(x91151,x91152,x91153)+~P1(f318(x91152,x91154))+~P1(f318(f318(f320(x91151),x91154),f318(f163(x91151),x91153)))+P1(f318(f318(f320(x91151),f781(x91153,x91152,x91151,x91154)),f318(f163(x91151),x91153)))
% 202.92/202.78 [9192]~P84(x91921)+E(f318(f318(f318(f59(x91921,x91922,f74(x91921)),x91923),f71(x91921)),x91924),f71(x91921))+~P1(f318(f55(x91922),x91924))+P1(f318(f318(f320(x91922),f428(x91923,x91924,x91922,x91921)),x91924))
% 202.92/202.78 [9693]~P1(f318(f318(f225(a1),x96934),f2(a1)))+P1(f318(f318(f225(a1),f318(f318(f73(a1),f318(f318(f74(a1),x96931),f39(a1,x96932,x96933))),x96934)),f2(a1)))+~P1(f318(f318(f226(a1),f2(a1)),x96933))+~P1(f318(f318(f226(a1),x96931),x96934))
% 202.92/202.78 [10134]~P1(f318(f55(x101341),x101342))+~P1(f318(f318(f320(x101341),x101344),x101342))+~P1(f318(f318(f320(x101341),x101343),x101342))+P1(f318(f318(f226(a920),f318(f29(x101341),f318(f318(f3(f927(x101341,a918)),f318(f318(f3(f927(x101341,a918)),x101342),f318(f318(f300(x101341),x101343),f179(f927(x101341,a918))))),f318(f318(f300(x101341),x101344),f179(f927(x101341,a918)))))),f318(f29(x101341),x101342)))
% 202.92/202.78 [7067]~P148(x70673)+~P124(x70673)+P1(f318(x70671,f835(x70672,x70671,x70673)))+~P1(f318(x70671,f318(f318(f74(x70673),x70672),x70674)))
% 202.92/202.78 [7125]~P103(x71251)+~P1(f318(f318(f225(x71251),x71252),x71254))+~P1(f318(f318(f225(x71251),x71252),x71253))+P1(f318(f318(f225(x71251),x71252),f318(f318(f92(x71251),x71253),x71254)))
% 202.92/202.78 [7128]~P4(x71281)+~P1(f318(f318(f225(x71281),x71282),x71284))+~P1(f318(f318(f225(x71281),x71282),x71283))+P1(f318(f318(f225(x71281),x71282),f318(f318(f223(x71281),x71283),x71284)))
% 202.92/202.78 [7129]~P4(x71291)+~P1(f318(f318(f226(x71291),x71292),x71294))+~P1(f318(f318(f226(x71291),x71292),x71293))+P1(f318(f318(f226(x71291),x71292),f318(f318(f223(x71291),x71293),x71294)))
% 202.92/202.78 [7130]~P120(x71301)+~P1(f318(f318(f278(x71301),x71302),x71304))+~P1(f318(f318(f278(x71301),x71302),x71303))+P1(f318(f318(f278(x71301),x71302),f318(f318(f3(x71301),x71303),x71304)))
% 202.92/202.78 [7150]~P75(x71502)+E(x71501,f2(x71502))+E(f318(f318(f282(x71502),f318(f318(f235(x71502),x71501),x71503)),f318(f318(f235(x71502),x71501),x71504)),f318(f318(f235(x71502),x71501),f318(f318(f3(a920),x71503),x71504)))+~P1(f318(f318(f225(a920),x71504),x71503))
% 202.92/202.78 [7195]~P4(x71951)+~P13(x71951,f318(f318(f142(x71951),x71953),x71954))+P13(x71951,f318(f318(f142(x71951),x71952),f318(f318(f142(x71951),x71953),x71954)))+~P1(f318(f318(f225(x71951),x71952),x71953))
% 202.92/202.78 [7232]~P95(x72321)+~P1(f318(f318(f225(x72321),f2(x72321)),x72324))+~P1(f318(f318(f225(x72321),x72322),x72323))+P1(f318(f318(f225(x72321),x72322),f318(f318(f73(x72321),x72323),x72324)))
% 202.92/202.78 [7233]~P95(x72331)+~P1(f318(f318(f225(x72331),f2(x72331)),x72333))+~P1(f318(f318(f225(x72331),x72332),x72334))+P1(f318(f318(f225(x72331),x72332),f318(f318(f73(x72331),x72333),x72334)))
% 202.92/202.78 [7234]~P135(x72341)+~P1(f318(f318(f226(x72341),f2(x72341)),x72343))+~P1(f318(f318(f226(x72341),x72342),x72344))+P1(f318(f318(f226(x72341),x72342),f318(f318(f73(x72341),x72343),x72344)))
% 202.92/202.78 [7235]~P95(x72351)+~P1(f318(f318(f225(x72351),x72352),x72354))+~P1(f318(f318(f226(x72351),f2(x72351)),x72353))+P1(f318(f318(f226(x72351),x72352),f318(f318(f73(x72351),x72353),x72354)))
% 202.92/202.78 [7236]~P95(x72361)+~P1(f318(f318(f225(x72361),f2(x72361)),x72363))+~P1(f318(f318(f226(x72361),x72362),x72364))+P1(f318(f318(f226(x72361),x72362),f318(f318(f73(x72361),x72363),x72364)))
% 202.92/202.78 [7278]~P4(x72781)+P1(f318(f318(f225(x72781),x72782),x72783))+P1(f318(f318(f225(x72781),x72782),x72784))+~P1(f318(f318(f225(x72781),x72782),f318(f318(f224(x72781),x72784),x72783)))
% 202.92/202.78 [7279]~P4(x72791)+P1(f318(f318(f226(x72791),x72792),x72793))+P1(f318(f318(f226(x72791),x72792),x72794))+~P1(f318(f318(f226(x72791),x72792),f318(f318(f224(x72791),x72794),x72793)))
% 202.92/202.78 [7576]~P113(x75762)+~P73(x75761)+~P1(f318(f318(f226(f927(x75761,x75762)),x75763),x75764))+P1(f318(f318(f225(f927(x75761,x75762)),x75763),x75764))
% 202.92/202.78 [7938]~P77(x79381)+~P1(f318(f318(f226(x79381),x79384),f2(x79381)))+~P1(f318(f318(f225(x79381),x79383),f318(f318(f282(x79381),x79382),x79384)))+P1(f318(f318(f225(x79381),x79382),f318(f318(f74(x79381),x79383),x79384)))
% 202.92/202.78 [7939]~P77(x79391)+~P1(f318(f318(f226(x79391),x79394),f2(x79391)))+~P1(f318(f318(f225(x79391),x79393),f318(f318(f74(x79391),x79392),x79394)))+P1(f318(f318(f225(x79391),x79392),f318(f318(f282(x79391),x79393),x79394)))
% 202.92/202.78 [7940]~P77(x79401)+~P1(f318(f318(f226(x79401),x79404),f2(x79401)))+~P1(f318(f318(f226(x79401),x79403),f318(f318(f282(x79401),x79402),x79404)))+P1(f318(f318(f226(x79401),x79402),f318(f318(f74(x79401),x79403),x79404)))
% 202.92/202.78 [7941]~P77(x79411)+~P1(f318(f318(f226(x79411),x79414),f2(x79411)))+~P1(f318(f318(f226(x79411),x79413),f318(f318(f74(x79411),x79412),x79414)))+P1(f318(f318(f226(x79411),x79412),f318(f318(f282(x79411),x79413),x79414)))
% 202.92/202.78 [8048]~P141(x80481)+~P1(f318(f318(f225(x80481),x80482),f2(x80481)))+~P1(f318(f318(f225(x80481),x80484),x80483))+P1(f318(f318(f225(x80481),f318(f318(f74(x80481),x80482),x80483)),f318(f318(f74(x80481),x80482),x80484)))
% 202.92/202.78 [8049]~P131(x80491)+~P1(f318(f318(f226(x80491),x80492),f2(x80491)))+~P1(f318(f318(f225(x80491),x80494),x80493))+P1(f318(f318(f225(x80491),f318(f318(f74(x80491),x80492),x80493)),f318(f318(f74(x80491),x80492),x80494)))
% 202.92/202.78 [8050]~P141(x80501)+~P1(f318(f318(f225(x80501),x80503),f2(x80501)))+~P1(f318(f318(f225(x80501),x80504),x80502))+P1(f318(f318(f225(x80501),f318(f318(f74(x80501),x80502),x80503)),f318(f318(f74(x80501),x80504),x80503)))
% 202.92/202.78 [8051]~P76(x80511)+~P1(f318(f318(f225(x80511),x80513),f2(x80511)))+~P1(f318(f318(f225(x80511),x80514),x80512))+P1(f318(f318(f225(x80511),f318(f318(f282(x80511),x80512),x80513)),f318(f318(f282(x80511),x80514),x80513)))
% 202.92/202.78 [8055]~P131(x80551)+~P1(f318(f318(f226(x80551),x80553),f2(x80551)))+~P1(f318(f318(f226(x80551),x80554),x80552))+P1(f318(f318(f226(x80551),f318(f318(f74(x80551),x80552),x80553)),f318(f318(f74(x80551),x80554),x80553)))
% 202.92/202.78 [8056]~P131(x80561)+~P1(f318(f318(f226(x80561),x80562),f2(x80561)))+~P1(f318(f318(f226(x80561),x80564),x80563))+P1(f318(f318(f226(x80561),f318(f318(f74(x80561),x80562),x80563)),f318(f318(f74(x80561),x80562),x80564)))
% 202.92/202.78 [8057]~P77(x80571)+~P1(f318(f318(f226(x80571),x80573),f2(x80571)))+~P1(f318(f318(f226(x80571),x80574),x80572))+P1(f318(f318(f226(x80571),f318(f318(f282(x80571),x80572),x80573)),f318(f318(f282(x80571),x80574),x80573)))
% 202.92/202.78 [8058]~P135(x80581)+~P1(f318(f318(f226(x80581),f71(x80581)),x80582))+~P1(f318(f318(f225(a920),x80583),x80584))+P1(f318(f318(f225(x80581),f318(f318(f235(x80581),x80582),x80583)),f318(f318(f235(x80581),x80582),x80584)))
% 202.92/202.78 [8059]~P135(x80591)+~P1(f318(f318(f225(x80591),f71(x80591)),x80592))+~P1(f318(f318(f225(a920),x80593),x80594))+P1(f318(f318(f225(x80591),f318(f318(f235(x80591),x80592),x80593)),f318(f318(f235(x80591),x80592),x80594)))
% 202.92/202.78 [8061]~P135(x80611)+~P1(f318(f318(f226(x80611),f71(x80611)),x80612))+~P1(f318(f318(f226(a920),x80613),x80614))+P1(f318(f318(f226(x80611),f318(f318(f235(x80611),x80612),x80613)),f318(f318(f235(x80611),x80612),x80614)))
% 202.92/202.78 [8088]P1(f318(f318(f226(a920),f2(a920)),f318(x80881,x80882)))+~P1(f318(f55(x80883),x80884))+~P1(f318(f318(f320(x80883),x80882),x80884))+~P1(f318(f318(f226(a920),f2(a920)),f318(f318(f11(x80883,a920),x80881),x80884)))
% 202.92/202.78 [8097]~P143(x80971)+~P1(f318(f318(f225(x80971),x80973),x80974))+~P1(f318(f318(f225(x80971),f2(x80971)),x80972))+P1(f318(f318(f225(x80971),f318(f318(f74(x80971),x80972),x80973)),f318(f318(f74(x80971),x80972),x80974)))
% 202.92/202.78 [8098]~P142(x80981)+~P1(f318(f318(f225(x80981),x80983),x80984))+~P1(f318(f318(f225(x80981),f2(x80981)),x80982))+P1(f318(f318(f225(x80981),f318(f318(f74(x80981),x80982),x80983)),f318(f318(f74(x80981),x80982),x80984)))
% 202.92/202.78 [8099]~P131(x80991)+~P1(f318(f318(f226(x80991),f2(x80991)),x80992))+~P1(f318(f318(f225(x80991),x80993),x80994))+P1(f318(f318(f225(x80991),f318(f318(f74(x80991),x80992),x80993)),f318(f318(f74(x80991),x80992),x80994)))
% 202.92/202.78 [8100]~P143(x81001)+~P1(f318(f318(f225(x81001),x81002),x81004))+~P1(f318(f318(f225(x81001),f2(x81001)),x81003))+P1(f318(f318(f225(x81001),f318(f318(f74(x81001),x81002),x81003)),f318(f318(f74(x81001),x81004),x81003)))
% 202.92/202.78 [8101]~P135(x81011)+~P1(f318(f318(f225(x81011),x81012),x81014))+~P1(f318(f318(f225(x81011),f2(x81011)),x81012))+P1(f318(f318(f225(x81011),f318(f318(f235(x81011),x81012),x81013)),f318(f318(f235(x81011),x81014),x81013)))
% 202.92/202.78 [8102]~P76(x81021)+~P1(f318(f318(f225(x81021),x81022),x81024))+~P1(f318(f318(f225(x81021),f2(x81021)),x81023))+P1(f318(f318(f225(x81021),f318(f318(f282(x81021),x81022),x81023)),f318(f318(f282(x81021),x81024),x81023)))
% 202.92/202.78 [8104]~P133(x81041)+~P1(f318(f318(f226(x81041),x81043),x81044))+~P1(f318(f318(f226(x81041),f2(x81041)),x81042))+P1(f318(f318(f226(x81041),f318(f318(f74(x81041),x81042),x81043)),f318(f318(f74(x81041),x81042),x81044)))
% 202.92/202.78 [8105]~P127(x81051)+~P1(f318(f318(f226(x81051),x81053),x81054))+~P1(f318(f318(f226(x81051),f2(x81051)),x81052))+P1(f318(f318(f226(x81051),f318(f318(f74(x81051),x81052),x81053)),f318(f318(f74(x81051),x81052),x81054)))
% 202.92/202.78 [8106]~P131(x81061)+~P1(f318(f318(f226(x81061),x81062),x81064))+~P1(f318(f318(f226(x81061),f2(x81061)),x81063))+P1(f318(f318(f226(x81061),f318(f318(f74(x81061),x81062),x81063)),f318(f318(f74(x81061),x81064),x81063)))
% 202.92/202.78 [8107]~P133(x81071)+~P1(f318(f318(f226(x81071),x81072),x81074))+~P1(f318(f318(f226(x81071),f2(x81071)),x81073))+P1(f318(f318(f226(x81071),f318(f318(f74(x81071),x81072),x81073)),f318(f318(f74(x81071),x81074),x81073)))
% 202.92/202.78 [8108]~P131(x81081)+~P1(f318(f318(f226(x81081),x81083),x81084))+~P1(f318(f318(f226(x81081),f2(x81081)),x81082))+P1(f318(f318(f226(x81081),f318(f318(f74(x81081),x81082),x81083)),f318(f318(f74(x81081),x81082),x81084)))
% 202.92/202.78 [8109]~P77(x81091)+~P1(f318(f318(f226(x81091),x81092),x81094))+~P1(f318(f318(f226(x81091),f2(x81091)),x81093))+P1(f318(f318(f226(x81091),f318(f318(f282(x81091),x81092),x81093)),f318(f318(f282(x81091),x81094),x81093)))
% 202.92/202.78 [8152]~P3(x81522)+P1(f318(f318(f226(f927(x81521,x81522)),x81524),x81523))+~P1(f318(f318(f225(f927(x81521,x81522)),x81524),x81523))+P1(f318(f318(f225(f927(x81521,x81522)),x81523),x81524))
% 202.92/202.78 [8193]P1(f318(f318(f320(x81931),x81932),x81933))+P1(f318(f318(f320(x81931),x81932),x81934))+~P1(f318(f318(f225(f927(x81931,a918)),x81934),x81933))+P1(f318(f318(f226(f927(x81931,a918)),x81934),f318(f318(f300(x81931),x81932),x81933)))
% 202.92/202.78 [8305]~P117(x83052)+E(x83051,f2(x83052))+P1(f318(f318(f278(x83052),x83053),x83054))+~P1(f318(f318(f278(x83052),f318(f318(f74(x83052),x83053),x83051)),f318(f318(f74(x83052),x83054),x83051)))
% 202.92/202.78 [8306]~P117(x83062)+E(x83061,f2(x83062))+P1(f318(f318(f278(x83062),x83063),x83064))+~P1(f318(f318(f278(x83062),f318(f318(f74(x83062),x83061),x83063)),f318(f318(f74(x83062),x83061),x83064)))
% 202.92/202.78 [8356]P1(f318(f318(f320(x83561),x83562),x83563))+P1(f318(f318(f320(x83561),x83562),x83564))+~P1(f318(f318(f226(f927(x83561,a918)),x83564),f318(f318(f300(x83561),x83562),x83563)))+P1(f318(f318(f225(f927(x83561,a918)),x83564),x83563))
% 202.92/202.78 [8422]~P131(x84221)+P1(f318(f318(f226(x84221),x84223),x84222))+P1(f318(f318(f226(x84221),x84222),x84223))+~P1(f318(f318(f226(x84221),f318(f318(f74(x84221),x84224),x84222)),f318(f318(f74(x84221),x84224),x84223)))
% 202.92/202.78 [8423]~P131(x84231)+P1(f318(f318(f226(x84231),x84233),x84232))+P1(f318(f318(f226(x84231),x84232),x84233))+~P1(f318(f318(f226(x84231),f318(f318(f74(x84231),x84232),x84234)),f318(f318(f74(x84231),x84233),x84234)))
% 202.92/202.78 [8434]~P131(x84341)+P1(f318(f318(f226(x84341),x84344),f2(x84341)))+P1(f318(f318(f226(x84341),x84342),x84343))+~P1(f318(f318(f226(x84341),f318(f318(f74(x84341),x84342),x84344)),f318(f318(f74(x84341),x84343),x84344)))
% 202.92/202.78 [8435]~P131(x84351)+P1(f318(f318(f226(x84351),x84354),f2(x84351)))+P1(f318(f318(f226(x84351),x84352),x84353))+~P1(f318(f318(f226(x84351),f318(f318(f74(x84351),x84354),x84352)),f318(f318(f74(x84351),x84354),x84353)))
% 202.92/202.78 [8438]~P131(x84381)+P1(f318(f318(f226(x84381),x84382),x84383))+P1(f318(f318(f226(x84381),f2(x84381)),x84384))+~P1(f318(f318(f226(x84381),f318(f318(f74(x84381),x84384),x84383)),f318(f318(f74(x84381),x84384),x84382)))
% 202.92/202.78 [8439]~P131(x84391)+P1(f318(f318(f226(x84391),x84392),x84393))+P1(f318(f318(f226(x84391),f2(x84391)),x84394))+~P1(f318(f318(f226(x84391),f318(f318(f74(x84391),x84393),x84394)),f318(f318(f74(x84391),x84392),x84394)))
% 202.92/202.78 [8452]~P131(x84521)+P1(f318(f318(f226(x84521),x84522),f2(x84521)))+P1(f318(f318(f226(x84521),f2(x84521)),x84522))+~P1(f318(f318(f226(x84521),f318(f318(f74(x84521),x84523),x84522)),f318(f318(f74(x84521),x84524),x84522)))
% 202.92/202.78 [8453]~P131(x84531)+P1(f318(f318(f226(x84531),x84532),f2(x84531)))+P1(f318(f318(f226(x84531),f2(x84531)),x84532))+~P1(f318(f318(f226(x84531),f318(f318(f74(x84531),x84532),x84533)),f318(f318(f74(x84531),x84532),x84534)))
% 202.92/202.78 [8482]~P131(x84821)+~P1(f318(f318(f226(x84821),x84824),f2(x84821)))+P1(f318(f318(f225(x84821),x84822),x84823))+~P1(f318(f318(f225(x84821),f318(f318(f74(x84821),x84824),x84823)),f318(f318(f74(x84821),x84824),x84822)))
% 202.92/202.78 [8483]~P131(x84831)+~P1(f318(f318(f226(x84831),x84834),f2(x84831)))+P1(f318(f318(f226(x84831),x84832),x84833))+~P1(f318(f318(f226(x84831),f318(f318(f74(x84831),x84834),x84833)),f318(f318(f74(x84831),x84834),x84832)))
% 202.92/202.78 [8494]~P135(x84943)+~P1(f318(f318(f226(x84943),f71(x84943)),x84944))+P1(f318(f318(f225(a920),x84941),x84942))+~P1(f318(f318(f225(x84943),f318(f318(f235(x84943),x84944),x84941)),f318(f318(f235(x84943),x84944),x84942)))
% 202.92/202.78 [8496]~P135(x84963)+~P1(f318(f318(f226(x84963),f71(x84963)),x84964))+P1(f318(f318(f226(a920),x84961),x84962))+~P1(f318(f318(f226(x84963),f318(f318(f235(x84963),x84964),x84961)),f318(f318(f235(x84963),x84964),x84962)))
% 202.92/202.78 [8506]~P131(x85061)+P1(f318(f318(f225(x85061),x85062),x85063))+~P1(f318(f318(f226(x85061),f2(x85061)),x85064))+~P1(f318(f318(f225(x85061),f318(f318(f74(x85061),x85064),x85062)),f318(f318(f74(x85061),x85064),x85063)))
% 202.92/202.78 [8507]~P133(x85071)+P1(f318(f318(f225(x85071),x85072),x85073))+~P1(f318(f318(f226(x85071),f2(x85071)),x85074))+~P1(f318(f318(f225(x85071),f318(f318(f74(x85071),x85074),x85072)),f318(f318(f74(x85071),x85074),x85073)))
% 202.92/202.78 [8508]~P133(x85081)+P1(f318(f318(f225(x85081),x85082),x85083))+~P1(f318(f318(f226(x85081),f2(x85081)),x85084))+~P1(f318(f318(f225(x85081),f318(f318(f74(x85081),x85082),x85084)),f318(f318(f74(x85081),x85083),x85084)))
% 202.92/202.78 [8509]~P131(x85091)+P1(f318(f318(f226(x85091),x85092),x85093))+~P1(f318(f318(f226(x85091),f2(x85091)),x85094))+~P1(f318(f318(f226(x85091),f318(f318(f74(x85091),x85094),x85092)),f318(f318(f74(x85091),x85094),x85093)))
% 202.92/202.78 [8510]~P133(x85101)+P1(f318(f318(f226(x85101),x85102),x85103))+~P1(f318(f318(f225(x85101),f2(x85101)),x85104))+~P1(f318(f318(f226(x85101),f318(f318(f74(x85101),x85104),x85102)),f318(f318(f74(x85101),x85104),x85103)))
% 202.92/202.78 [8511]~P134(x85111)+P1(f318(f318(f226(x85111),x85112),x85113))+~P1(f318(f318(f225(x85111),f2(x85111)),x85114))+~P1(f318(f318(f226(x85111),f318(f318(f74(x85111),x85114),x85112)),f318(f318(f74(x85111),x85114),x85113)))
% 202.92/202.78 [8512]~P133(x85121)+P1(f318(f318(f226(x85121),x85122),x85123))+~P1(f318(f318(f225(x85121),f2(x85121)),x85124))+~P1(f318(f318(f226(x85121),f318(f318(f74(x85121),x85122),x85124)),f318(f318(f74(x85121),x85123),x85124)))
% 202.92/202.78 [8513]~P134(x85131)+P1(f318(f318(f226(x85131),x85132),x85133))+~P1(f318(f318(f225(x85131),f2(x85131)),x85134))+~P1(f318(f318(f226(x85131),f318(f318(f74(x85131),x85132),x85134)),f318(f318(f74(x85131),x85133),x85134)))
% 202.92/202.78 [8514]~P135(x85141)+~P1(f318(f318(f225(x85141),f2(x85141)),x85143))+P1(f318(f318(f226(x85141),x85142),x85143))+~P1(f318(f318(f226(x85141),f318(f318(f235(x85141),x85142),x85144)),f318(f318(f235(x85141),x85143),x85144)))
% 202.92/202.78 [8558]P1(f318(f318(f320(x85581),x85582),x85583))+~P1(f318(f318(f225(f927(x85581,a918)),x85583),x85584))+~P1(f318(f318(f226(f927(x85581,a918)),x85583),x85584))+P1(f318(f318(f226(f927(x85581,a918)),x85583),f318(f318(f300(x85581),x85582),x85584)))
% 202.92/202.78 [8591]~P148(x85911)+~P124(x85911)+P1(f318(f318(f278(x85911),x85912),f318(f318(f73(x85911),f835(x85912,x85913,x85911)),f2(x85911))))+~P1(f318(x85913,f318(f318(f74(x85911),x85912),x85914)))
% 202.92/202.78 [8942]E(f318(f318(f3(a1),f892(x89421,x89422,x89423,x89424)),f893(x89421,x89422,x89423,x89424)),x89424)+~P1(f318(f318(f226(a1),f2(a1)),x89423))+~P1(f318(f318(f225(a1),x89421),x89424))+P1(f318(f318(f225(a1),x89421),f318(f318(f73(a1),x89424),x89423)))
% 202.92/202.78 [8943]E(f318(f318(f3(a1),f906(x89431,x89432,x89433,x89434)),f907(x89431,x89432,x89433,x89434)),x89434)+~P1(f318(f318(f226(a1),f2(a1)),x89433))+~P1(f318(f318(f226(a1),x89431),x89434))+P1(f318(f318(f226(a1),x89431),f318(f318(f73(a1),x89434),x89433)))
% 202.92/202.78 [9096]~E(f318(f318(f155(x90961),x90963),f677(x90964,x90963,x90961,x90962)),f318(f318(f155(x90961),x90964),f677(x90964,x90963,x90961,x90962)))+E(f318(f318(f166(x90961),x90962),x90963),f318(f318(f166(x90961),x90962),x90964))+~P1(f318(f318(f225(a920),x90962),f318(f180(f921(x90961)),x90963)))+~P1(f318(f318(f225(a920),x90962),f318(f180(f921(x90961)),x90964)))
% 202.92/202.78 [9159]~P1(f318(f318(f226(a1),f2(a1)),x91593))+~P1(f318(f318(f225(a1),x91591),x91594))+P1(f318(f318(f320(a1),f892(x91591,x91592,x91593,x91594)),x91592))+P1(f318(f318(f225(a1),x91591),f318(f318(f73(a1),x91594),x91593)))
% 202.92/202.78 [9160]~P1(f318(f318(f226(a1),f2(a1)),x91603))+~P1(f318(f318(f226(a1),x91601),x91604))+P1(f318(f318(f320(a1),f906(x91601,x91602,x91603,x91604)),x91602))+P1(f318(f318(f226(a1),x91601),f318(f318(f73(a1),x91604),x91603)))
% 202.92/202.78 [9201]~P103(x92011)+~P1(f318(f55(x92011),x92013))+~P1(f318(f318(f320(x92011),x92014),x92013))+P1(f318(f318(f225(x92011),f318(f318(f58(x92011,x92011,f92(x92011)),x92012),x92013)),f318(f318(f92(x92011),x92014),x92012)))
% 202.92/202.78 [9202]~P4(x92021)+~P1(f318(f55(x92021),x92023))+~P1(f318(f318(f320(x92021),x92024),x92023))+P1(f318(f318(f225(x92021),f318(f318(f58(x92021,x92021,f223(x92021)),x92022),x92023)),f318(f318(f223(x92021),x92024),x92022)))
% 202.92/202.78 [9247]E(f318(f318(f166(x92471),x92472),x92473),f318(f318(f166(x92471),x92472),x92474))+P1(f318(f318(f226(a920),f677(x92473,x92474,x92471,x92472)),x92472))+~P1(f318(f318(f225(a920),x92472),f318(f180(f921(x92471)),x92473)))+~P1(f318(f318(f225(a920),x92472),f318(f180(f921(x92471)),x92474)))
% 202.92/202.78 [9252]~P1(f318(f318(f226(a1),f2(a1)),x92523))+~P1(f318(f318(f225(a1),x92521),x92522))+P1(f318(f318(f320(a1),f893(x92521,x92524,x92523,x92522)),f294(a1,f71(a1),x92523)))+P1(f318(f318(f225(a1),x92521),f318(f318(f73(a1),x92522),x92523)))
% 202.92/202.78 [9253]~P1(f318(f318(f226(a1),f2(a1)),x92533))+~P1(f318(f318(f226(a1),x92531),x92532))+P1(f318(f318(f320(a1),f907(x92531,x92534,x92533,x92532)),f294(a1,f71(a1),x92533)))+P1(f318(f318(f226(a1),x92531),f318(f318(f73(a1),x92532),x92533)))
% 202.92/202.78 [9579]~P109(x95791)+~P1(f318(f55(x95791),x95794))+P1(f318(f318(f320(x95791),f445(x95792,x95793,x95794,x95791)),x95794))+P1(f318(f318(f225(x95791),f318(f318(f58(x95791,x95791,f101(x95791)),x95792),x95794)),f318(f318(f101(x95791),x95793),x95792)))
% 202.92/202.78 [9580]~P4(x95801)+~P1(f318(f55(x95801),x95804))+P1(f318(f318(f320(x95801),f474(x95802,x95803,x95804,x95801)),x95804))+P1(f318(f318(f225(x95801),f318(f318(f58(x95801,x95801,f224(x95801)),x95802),x95804)),f318(f318(f224(x95801),x95803),x95802)))
% 202.92/202.78 [9709]~P109(x97091)+~P1(f318(f55(x97091),x97093))+~P1(f318(f318(f225(x97091),f445(x97092,x97094,x97093,x97091)),x97094))+P1(f318(f318(f225(x97091),f318(f318(f58(x97091,x97091,f101(x97091)),x97092),x97093)),f318(f318(f101(x97091),x97094),x97092)))
% 202.92/202.78 [9710]~P4(x97101)+~P1(f318(f55(x97101),x97103))+~P1(f318(f318(f225(x97101),f474(x97102,x97104,x97103,x97101)),x97104))+P1(f318(f318(f225(x97101),f318(f318(f58(x97101,x97101,f224(x97101)),x97102),x97103)),f318(f318(f224(x97101),x97104),x97102)))
% 202.92/202.78 [9712]~P1(f318(f318(f225(a1),f2(a1)),x97124))+~P1(f318(f318(f226(a1),f2(a1)),x97123))+~P1(f318(f318(f226(a1),x97124),x97121))+P1(f318(f318(f226(a1),f318(f318(f73(a1),f318(f318(f74(a1),x97121),f39(a1,x97122,x97123))),x97124)),f318(f318(f74(a1),x97121),x97123)))
% 202.92/202.78 [9997]~P113(x99971)+P1(f318(f318(f225(x99971),f318(x99972,x99973)),f318(x99972,x99974)))+~P1(f318(f318(f225(a920),x99973),x99974))+~P1(f318(f318(f225(x99971),f318(x99972,f910(x99974,x99973,x99972,x99971))),f318(x99972,f318(a103,f910(x99974,x99973,x99972,x99971)))))
% 202.92/202.78 [10106]E(x101061,x101062)+P1(f318(f318(f320(f926(f921(x101063),f921(x101063))),f318(f318(f243(f921(x101063),f921(x101063)),x101062),x101061)),f138(x101063,x101064)))+P1(f318(f318(f320(f926(f921(x101063),f921(x101063))),f318(f318(f243(f921(x101063),f921(x101063)),x101061),x101062)),f138(x101063,x101064)))+~P1(f318(f318(f320(f926(x101063,x101063)),f318(f318(f243(x101063,x101063),f650(x101061,x101062,x101064,x101063)),f655(x101061,x101062,x101064,x101063))),x101064))
% 202.92/202.78 [10107]E(x101071,x101072)+P1(f318(f318(f320(f926(f921(x101073),f921(x101073))),f318(f318(f243(f921(x101073),f921(x101073)),x101072),x101071)),f138(x101073,x101074)))+P1(f318(f318(f320(f926(f921(x101073),f921(x101073))),f318(f318(f243(f921(x101073),f921(x101073)),x101071),x101072)),f138(x101073,x101074)))+~P1(f318(f318(f320(f926(x101073,x101073)),f318(f318(f243(x101073,x101073),f655(x101071,x101072,x101074,x101073)),f650(x101071,x101072,x101074,x101073))),x101074))
% 202.92/202.78 [7641]~P109(x76411)+~P1(f318(f318(f225(x76411),x76413),x76414))+~P1(f318(f318(f225(x76411),x76412),x76414))+P1(f318(f318(f225(x76411),f318(f318(f101(x76411),x76412),x76413)),x76414))
% 202.92/202.78 [7644]~P4(x76441)+~P1(f318(f318(f225(x76441),x76443),x76444))+~P1(f318(f318(f225(x76441),x76442),x76444))+P1(f318(f318(f225(x76441),f318(f318(f224(x76441),x76442),x76443)),x76444))
% 202.92/202.78 [7645]~P4(x76451)+~P1(f318(f318(f226(x76451),x76453),x76454))+~P1(f318(f318(f226(x76451),x76452),x76454))+P1(f318(f318(f226(x76451),f318(f318(f224(x76451),x76452),x76453)),x76454))
% 202.92/202.78 [7963]~E(x79631,x79633)+E(f130(a920,f318(f293(a920,x79631),x79632)),f318(f318(f142(a920),x79633),x79634))+~E(f130(a920,f318(f293(a920,f318(f318(f73(a920),x79631),f71(a920))),x79632)),x79634)+~P1(f318(f318(f226(a920),x79631),x79632))
% 202.92/202.78 [7971]~P4(x79711)+P1(f318(f318(f225(x79711),x79712),x79713))+P1(f318(f318(f225(x79711),x79714),x79713))+~P1(f318(f318(f225(x79711),f318(f318(f223(x79711),x79714),x79712)),x79713))
% 202.92/202.78 [7972]~P4(x79721)+P1(f318(f318(f226(x79721),x79722),x79723))+P1(f318(f318(f226(x79721),x79724),x79723))+~P1(f318(f318(f226(x79721),f318(f318(f223(x79721),x79724),x79722)),x79723))
% 202.92/202.78 [8251]~P76(x82511)+~P1(f318(f318(f226(x82511),f2(x82511)),x82513))+~P1(f318(f318(f225(x82511),x82512),f318(f318(f282(x82511),x82514),x82513)))+P1(f318(f318(f225(x82511),f318(f318(f74(x82511),x82512),x82513)),x82514))
% 202.92/202.78 [8252]~P77(x82521)+~P1(f318(f318(f226(x82521),f2(x82521)),x82523))+~P1(f318(f318(f225(x82521),x82522),f318(f318(f282(x82521),x82524),x82523)))+P1(f318(f318(f225(x82521),f318(f318(f74(x82521),x82522),x82523)),x82524))
% 202.92/202.78 [8253]~P76(x82531)+~P1(f318(f318(f226(x82531),f2(x82531)),x82533))+~P1(f318(f318(f225(x82531),x82532),f318(f318(f74(x82531),x82534),x82533)))+P1(f318(f318(f225(x82531),f318(f318(f282(x82531),x82532),x82533)),x82534))
% 202.92/202.78 [8255]~P77(x82551)+~P1(f318(f318(f226(x82551),f2(x82551)),x82553))+~P1(f318(f318(f225(x82551),x82552),f318(f318(f74(x82551),x82554),x82553)))+P1(f318(f318(f225(x82551),f318(f318(f282(x82551),x82552),x82553)),x82554))
% 202.92/202.78 [8256]~P76(x82561)+~P1(f318(f318(f226(x82561),f2(x82561)),x82563))+~P1(f318(f318(f226(x82561),x82562),f318(f318(f282(x82561),x82564),x82563)))+P1(f318(f318(f226(x82561),f318(f318(f74(x82561),x82562),x82563)),x82564))
% 202.92/202.78 [8257]~P77(x82571)+~P1(f318(f318(f226(x82571),f2(x82571)),x82573))+~P1(f318(f318(f226(x82571),x82572),f318(f318(f282(x82571),x82574),x82573)))+P1(f318(f318(f226(x82571),f318(f318(f74(x82571),x82572),x82573)),x82574))
% 202.92/202.78 [8258]~P76(x82581)+~P1(f318(f318(f226(x82581),f2(x82581)),x82583))+~P1(f318(f318(f226(x82581),x82582),f318(f318(f74(x82581),x82584),x82583)))+P1(f318(f318(f226(x82581),f318(f318(f282(x82581),x82582),x82583)),x82584))
% 202.92/202.78 [8260]~P77(x82601)+~P1(f318(f318(f226(x82601),f2(x82601)),x82603))+~P1(f318(f318(f226(x82601),x82602),f318(f318(f74(x82601),x82604),x82603)))+P1(f318(f318(f226(x82601),f318(f318(f282(x82601),x82602),x82603)),x82604))
% 202.92/202.78 [8392]~P76(x83921)+~P1(f318(f318(f226(x83921),f2(x83921)),x83924))+P1(f318(f318(f225(x83921),x83922),f318(f318(f74(x83921),x83923),x83924)))+~P1(f318(f318(f225(x83921),f318(f318(f282(x83921),x83922),x83924)),x83923))
% 202.92/202.78 [8393]~P76(x83931)+~P1(f318(f318(f226(x83931),f2(x83931)),x83934))+P1(f318(f318(f225(x83931),x83932),f318(f318(f282(x83931),x83933),x83934)))+~P1(f318(f318(f225(x83931),f318(f318(f74(x83931),x83932),x83934)),x83933))
% 202.92/202.78 [8395]~P77(x83951)+~P1(f318(f318(f226(x83951),f2(x83951)),x83954))+P1(f318(f318(f225(x83951),x83952),f318(f318(f74(x83951),x83953),x83954)))+~P1(f318(f318(f225(x83951),f318(f318(f282(x83951),x83952),x83954)),x83953))
% 202.92/202.78 [8396]~P77(x83961)+~P1(f318(f318(f226(x83961),f2(x83961)),x83964))+P1(f318(f318(f225(x83961),x83962),f318(f318(f282(x83961),x83963),x83964)))+~P1(f318(f318(f225(x83961),f318(f318(f74(x83961),x83962),x83964)),x83963))
% 202.92/202.78 [8397]~P76(x83971)+~P1(f318(f318(f226(x83971),f2(x83971)),x83974))+P1(f318(f318(f226(x83971),x83972),f318(f318(f74(x83971),x83973),x83974)))+~P1(f318(f318(f226(x83971),f318(f318(f282(x83971),x83972),x83974)),x83973))
% 202.92/202.78 [8398]~P76(x83981)+~P1(f318(f318(f226(x83981),f2(x83981)),x83984))+P1(f318(f318(f226(x83981),x83982),f318(f318(f282(x83981),x83983),x83984)))+~P1(f318(f318(f226(x83981),f318(f318(f74(x83981),x83982),x83984)),x83983))
% 202.92/202.78 [8400]~P77(x84001)+~P1(f318(f318(f226(x84001),f2(x84001)),x84004))+P1(f318(f318(f226(x84001),x84002),f318(f318(f74(x84001),x84003),x84004)))+~P1(f318(f318(f226(x84001),f318(f318(f282(x84001),x84002),x84004)),x84003))
% 202.92/202.78 [8401]~P77(x84011)+~P1(f318(f318(f226(x84011),f2(x84011)),x84014))+P1(f318(f318(f226(x84011),x84012),f318(f318(f282(x84011),x84013),x84014)))+~P1(f318(f318(f226(x84011),f318(f318(f74(x84011),x84012),x84014)),x84013))
% 202.92/202.78 [8561]~P77(x85611)+~P1(f318(f318(f226(x85611),x85613),f2(x85611)))+~P1(f318(f318(f225(x85611),f318(f318(f282(x85611),x85614),x85613)),x85612))+P1(f318(f318(f225(x85611),f318(f318(f74(x85611),x85612),x85613)),x85614))
% 202.92/202.78 [8562]~P77(x85621)+~P1(f318(f318(f226(x85621),x85623),f2(x85621)))+~P1(f318(f318(f225(x85621),f318(f318(f74(x85621),x85624),x85623)),x85622))+P1(f318(f318(f225(x85621),f318(f318(f282(x85621),x85622),x85623)),x85624))
% 202.92/202.78 [8563]~P77(x85631)+~P1(f318(f318(f226(x85631),x85633),f2(x85631)))+~P1(f318(f318(f226(x85631),f318(f318(f282(x85631),x85634),x85633)),x85632))+P1(f318(f318(f226(x85631),f318(f318(f74(x85631),x85632),x85633)),x85634))
% 202.92/202.78 [8564]~P77(x85641)+~P1(f318(f318(f226(x85641),x85643),f2(x85641)))+~P1(f318(f318(f226(x85641),f318(f318(f74(x85641),x85644),x85643)),x85642))+P1(f318(f318(f226(x85641),f318(f318(f282(x85641),x85642),x85643)),x85644))
% 202.92/202.78 [8576]~P1(f318(x85761,x85764))+~P1(f318(f318(f226(a920),x85762),f318(f318(f74(a920),x85763),f318(a103,x85764))))+P1(f318(x85761,f318(f318(f30(a920),x85762),x85763)))+~P1(f318(f318(f225(a920),f318(f318(f74(a920),x85763),x85764)),x85762))
% 202.92/202.78 [8790]~P109(x87901)+~P1(f318(f55(x87901),x87904))+~P1(f318(f318(f320(x87901),x87902),x87904))+P1(f318(f318(f225(x87901),f318(f318(f101(x87901),x87902),x87903)),f318(f318(f58(x87901,x87901,f101(x87901)),x87903),x87904)))
% 202.92/202.78 [8791]~P4(x87911)+~P1(f318(f55(x87911),x87914))+~P1(f318(f318(f320(x87911),x87912),x87914))+P1(f318(f318(f225(x87911),f318(f318(f224(x87911),x87912),x87913)),f318(f318(f58(x87911,x87911,f224(x87911)),x87913),x87914)))
% 202.92/202.78 [8944]~P1(f318(f55(x89441),x89442))+E(f318(f29(x89441),f318(f318(f3(f927(x89441,a918)),x89442),f318(f318(f300(x89441),x89443),x89444))),f318(f318(f3(a920),f318(f29(x89441),f318(f318(f3(f927(x89441,a918)),x89442),x89444))),f71(a920)))+P1(f318(f318(f320(x89441),x89443),x89444))+~P1(f318(f318(f320(x89441),x89443),x89442))
% 202.92/202.78 [9022]E(f318(f318(f73(a1),f894(x90221,x90222,x90223,x90224)),f895(x90221,x90222,x90223,x90224)),x90224)+~P1(f318(f318(f226(a1),f2(a1)),x90223))+~P1(f318(f318(f225(a1),x90224),x90221))+P1(f318(f318(f225(a1),f318(f318(f3(a1),x90224),x90223)),x90221))
% 202.92/202.78 [9023]E(f318(f318(f73(a1),f908(x90231,x90232,x90233,x90234)),f909(x90231,x90232,x90233,x90234)),x90234)+~P1(f318(f318(f226(a1),f2(a1)),x90233))+~P1(f318(f318(f226(a1),x90234),x90231))+P1(f318(f318(f226(a1),f318(f318(f3(a1),x90234),x90233)),x90231))
% 202.92/202.78 [9232]~P1(f318(f318(f226(a1),f2(a1)),x92323))+~P1(f318(f318(f225(a1),x92324),x92321))+P1(f318(f318(f320(a1),f894(x92321,x92322,x92323,x92324)),x92322))+P1(f318(f318(f225(a1),f318(f318(f3(a1),x92324),x92323)),x92321))
% 202.92/202.78 [9233]~P1(f318(f318(f226(a1),f2(a1)),x92333))+~P1(f318(f318(f226(a1),x92334),x92331))+P1(f318(f318(f320(a1),f908(x92331,x92332,x92333,x92334)),x92332))+P1(f318(f318(f226(a1),f318(f318(f3(a1),x92334),x92333)),x92331))
% 202.92/202.78 [9319]~P1(f318(f318(f226(a1),f2(a1)),x93192))+~P1(f318(f318(f225(a1),x93191),x93193))+P1(f318(f318(f320(a1),f895(x93193,x93194,x93192,x93191)),f294(a1,f71(a1),x93192)))+P1(f318(f318(f225(a1),f318(f318(f3(a1),x93191),x93192)),x93193))
% 202.92/202.78 [9320]~P1(f318(f318(f226(a1),f2(a1)),x93202))+~P1(f318(f318(f226(a1),x93201),x93203))+P1(f318(f318(f320(a1),f909(x93203,x93204,x93202,x93201)),f294(a1,f71(a1),x93202)))+P1(f318(f318(f226(a1),f318(f318(f3(a1),x93201),x93202)),x93203))
% 202.92/202.78 [9338]~P1(f318(f318(f225(a1),f2(a1)),x93384))+~P1(f318(f318(f226(a1),f2(a1)),x93383))+~P1(f318(f318(f226(a1),x93384),x93381))+P1(f318(f318(f225(a1),f2(a1)),f318(f318(f73(a1),f318(f318(f74(a1),x93381),f39(a1,x93382,x93383))),x93384)))
% 202.92/202.78 [9369]E(x93691,x93692)+~P41(x93693,x93694)+~P1(f318(f318(f320(f926(x93693,x93693)),f318(f318(f243(x93693,x93693),x93692),x93691)),x93694))+~P1(f318(f318(f320(f926(x93693,x93693)),f318(f318(f243(x93693,x93693),x93691),x93692)),x93694))
% 202.92/202.78 [9402]~P103(x94021)+~P1(f318(f55(x94021),x94024))+~P1(f318(f318(f225(x94021),x94022),f442(x94023,x94022,x94024,x94021)))+P1(f318(f318(f225(x94021),f318(f318(f92(x94021),x94022),x94023)),f318(f318(f58(x94021,x94021,f92(x94021)),x94023),x94024)))
% 202.92/202.78 [9403]~P4(x94031)+~P1(f318(f55(x94031),x94034))+~P1(f318(f318(f225(x94031),x94032),f462(x94033,x94032,x94034,x94031)))+P1(f318(f318(f225(x94031),f318(f318(f223(x94031),x94032),x94033)),f318(f318(f58(x94031,x94031,f223(x94031)),x94033),x94034)))
% 202.92/202.78 [9419]~P1(f318(f318(f225(a1),x94194),f2(a1)))+~P1(f318(f318(f226(a1),f2(a1)),x94192))+~P1(f318(f318(f226(a1),x94191),x94194))+P1(f318(f318(f226(a1),f318(f318(f74(a1),x94191),x94192)),f318(f318(f73(a1),f318(f318(f74(a1),x94191),f39(a1,x94193,x94192))),x94194)))
% 202.92/202.78 [9444]P1(f318(f55(x94441),x94442))+~P1(f318(f55(x94441),x94443))+~P1(f318(f318(f320(f927(x94441,a918)),x94442),f318(f318(f54(x94441),x94443),x94444)))+~P1(f318(f318(f225(f927(f926(x94441,x94441),a918)),x94444),f318(f318(f245(x94441,x94441),x94443),f318(f18(f927(x94441,a918),x94441),x94443))))
% 202.92/202.78 [9469]~P103(x94691)+~P1(f318(f55(x94691),x94694))+P1(f318(f318(f320(x94691),f442(x94692,x94693,x94694,x94691)),x94694))+P1(f318(f318(f225(x94691),f318(f318(f92(x94691),x94693),x94692)),f318(f318(f58(x94691,x94691,f92(x94691)),x94692),x94694)))
% 202.92/202.78 [9470]~P4(x94701)+~P1(f318(f55(x94701),x94704))+P1(f318(f318(f320(x94701),f462(x94702,x94703,x94704,x94701)),x94704))+P1(f318(f318(f225(x94701),f318(f318(f223(x94701),x94703),x94702)),f318(f318(f58(x94701,x94701,f223(x94701)),x94702),x94704)))
% 202.92/202.78 [9482]~P42(f927(x94821,a918),f927(x94821,a918),x94823)+~P1(f318(f318(f320(x94821),x94822),x94824))+P1(f318(f318(f320(x94821),x94822),f87(f927(x94821,a918),x94823)))+~P1(f318(f318(f225(f927(x94821,a918)),x94824),f318(x94823,f318(f318(f101(f927(x94821,a918)),x94824),f87(f927(x94821,a918),x94823)))))
% 202.92/202.78 [9665]~P42(f927(x96653,a918),f927(x96653,a918),x96654)+P1(f318(x96651,x96652))+~P1(f318(f318(f320(x96653),x96652),f86(f927(x96653,a918),x96654)))+P1(f318(f318(f320(x96653),f608(x96651,x96654,x96652,x96653)),f318(x96654,f318(f318(f92(f927(x96653,a918)),f86(f927(x96653,a918),x96654)),f318(f253(x96653),x96651)))))
% 202.92/202.78 [9877]~P1(f318(f55(x98772),x98774))+~P1(f318(f55(x98771),x98773))+~P1(f318(f318(f225(a920),f318(f29(x98772),x98774)),f318(f29(x98771),x98773)))+P1(f318(f318(f225(f927(x98771,a918)),f318(f301(x98772,x98771,f358(x98773,x98771,x98774,x98772)),x98774)),x98773))
% 202.92/202.78 [9520]~P1(f318(f318(f320(x95201),x95202),x95204))+P1(f318(f318(f320(x95201),x95202),x95203))+~P1(f318(f318(f226(f927(x95201,a918)),x95204),f318(f318(f300(x95201),x95202),x95203)))+P1(f318(f318(f226(f927(x95201,a918)),f318(f318(f3(f927(x95201,a918)),x95204),f318(f318(f300(x95201),x95202),f179(f927(x95201,a918))))),x95203))
% 202.92/202.78 [9690]~P1(f318(f318(f320(x96901),x96902),x96904))+P1(f318(f318(f320(x96901),x96902),x96903))+P1(f318(f318(f226(f927(x96901,a918)),x96904),f318(f318(f300(x96901),x96902),x96903)))+~P1(f318(f318(f226(f927(x96901,a918)),f318(f318(f3(f927(x96901,a918)),x96904),f318(f318(f300(x96901),x96902),f179(f927(x96901,a918))))),x96903))
% 202.92/202.78 [9715]P1(f318(f318(f320(x97151),x97152),x97153))+~P1(f318(f318(f225(f927(x97151,a918)),x97154),x97153))+P1(f318(f318(f226(f927(x97151,a918)),x97154),f318(f318(f300(x97151),x97152),x97153)))+~P1(f318(f318(f226(f927(x97151,a918)),f318(f318(f3(f927(x97151,a918)),x97154),f318(f318(f300(x97151),x97152),f179(f927(x97151,a918))))),x97153))
% 202.92/202.78 [9720]~P1(f318(f318(f320(x97201),x97203),x97202))+~P1(f318(f318(f226(f927(x97201,a918)),x97202),x97204))+P1(f318(f318(f226(f927(x97201,a918)),x97202),f318(f318(f300(x97201),x97203),x97204)))+~P1(f318(f318(f226(f927(x97201,a918)),f318(f318(f3(f927(x97201,a918)),x97202),f318(f318(f300(x97201),x97203),f179(f927(x97201,a918))))),x97204))
% 202.92/202.78 [9736]~P1(f318(f318(f225(f927(x97361,a918)),x97362),x97364))+~P1(f318(f318(f226(f927(x97361,a918)),x97362),x97364))+P1(f318(f318(f226(f927(x97361,a918)),x97362),f318(f318(f300(x97361),x97363),x97364)))+~P1(f318(f318(f226(f927(x97361,a918)),f318(f318(f3(f927(x97361,a918)),x97362),f318(f318(f300(x97361),x97363),f179(f927(x97361,a918))))),x97364))
% 202.92/202.78 [9781]~P113(x97812)+~P73(x97811)+~P1(f318(f318(f225(f927(x97811,x97812)),x97813),x97814))+P1(f318(f51(x97811),f318(f318(f20(x97811,x97812,a918),f318(f318(f10(x97812,f927(x97812,a918),x97811),f225(x97812)),x97813)),x97814)))
% 202.92/202.78 [9927]~P113(x99272)+~P73(x99271)+P1(f318(f318(f225(f927(x99271,x99272)),x99273),x99274))+~P1(f318(f51(x99271),f318(f318(f20(x99271,x99272,a918),f318(f318(f10(x99272,f927(x99272,a918),x99271),f225(x99272)),x99273)),x99274)))
% 202.92/202.78 [10432]~P42(f927(x104321,a918),f927(x104321,a918),x104323)+~P1(f318(f318(f320(x104321),x104322),x104324))+P1(f318(f318(f320(x104321),x104322),f87(f927(x104321,a918),x104323)))+~P1(f318(f318(f225(f927(x104321,a918)),x104324),f318(x104323,f86(f927(x104321,a918),f318(f318(f9(f927(x104321,a918),f927(x104321,a918),f927(x104321,a918)),f318(f318(f10(f927(x104321,a918),f927(f927(x104321,a918),f927(x104321,a918)),f927(x104321,a918)),f101(f927(x104321,a918))),f318(f318(f9(f927(x104321,a918),f927(x104321,a918),f927(x104321,a918)),f318(f318(f10(f927(x104321,a918),f927(f927(x104321,a918),f927(x104321,a918)),f927(x104321,a918)),f101(f927(x104321,a918))),x104323)),x104324))),f87(f927(x104321,a918),x104323))))))
% 202.92/202.78 [10097]E(f318(f318(f155(x100971),f318(f318(f155(f921(x100971)),f170(x100971,x100972)),x100973)),x100974),f318(f318(f155(x100971),f318(f318(f155(f921(x100971)),x100972),x100974)),x100973))+~P1(f318(f318(f226(a920),x100973),f318(f180(f921(f921(x100971))),f170(x100971,x100972))))+~P13(a920,f318(f159(a920),f318(f318(f145(f921(x100971),a920),f180(f921(x100971))),x100972)))+~P1(f318(f318(f226(a920),x100974),f318(f180(f921(f921(x100971))),f318(f127(f921(x100971),f318(f318(f10(a920,a918,f921(x100971)),f318(f226(a920),x100973)),f180(f921(x100971)))),x100972))))
% 202.92/202.78 [10118]~P1(f318(f318(f320(f926(a920,a920)),x101184),x101181))+~P1(f318(f318(f320(f926(f926(a920,a920),f926(a920,a920))),f318(f318(f243(f926(a920,a920),f926(a920,a920)),x101184),x101182)),a26))+~P1(f318(f318(f320(f926(f927(f926(a920,a920),a918),f927(f926(a920,a920),a918))),f318(f318(f243(f927(f926(a920,a920),a918),f927(f926(a920,a920),a918)),x101181),x101183)),a27))+P1(f318(f318(f320(f926(f927(f926(a920,a920),a918),f927(f926(a920,a920),a918))),f318(f318(f243(f927(f926(a920,a920),a918),f927(f926(a920,a920),a918)),x101181),f318(f318(f300(f926(a920,a920)),x101182),x101183))),a27))
% 202.92/202.78 [10119]~P1(f318(f318(f320(f926(a920,a920)),x101194),x101191))+~P1(f318(f318(f320(f926(f926(a920,a920),f926(a920,a920))),f318(f318(f243(f926(a920,a920),f926(a920,a920)),x101194),x101192)),a64))+~P1(f318(f318(f320(f926(f927(f926(a920,a920),a918),f927(f926(a920,a920),a918))),f318(f318(f243(f927(f926(a920,a920),a918),f927(f926(a920,a920),a918)),x101191),x101193)),a65))+P1(f318(f318(f320(f926(f927(f926(a920,a920),a918),f927(f926(a920,a920),a918))),f318(f318(f243(f927(f926(a920,a920),a918),f927(f926(a920,a920),a918)),x101191),f318(f318(f300(f926(a920,a920)),x101192),x101193))),a65))
% 202.92/202.78 [10009]~P113(x100092)+~P73(x100091)+~P1(f318(f318(f226(f927(x100091,x100092)),x100093),x100094))+P1(f318(f50(x100091),f318(f318(f10(a918,a918,x100091),a313),f318(f318(f20(x100091,x100092,a918),f318(f318(f10(x100092,f927(x100092,a918),x100091),a315),x100093)),x100094))))
% 202.92/202.78 [10130]~P1(f318(f318(f320(f926(a920,a920)),x101304),x101303))+~P1(f318(f318(f320(f926(f926(a920,a920),f926(a920,a920))),f318(f318(f243(f926(a920,a920),f926(a920,a920)),x101301),x101304)),a26))+~P1(f318(f318(f320(f926(f927(f926(a920,a920),a918),f927(f926(a920,a920),a918))),f318(f318(f243(f927(f926(a920,a920),a918),f927(f926(a920,a920),a918)),x101302),x101303)),a28))+P1(f318(f318(f320(f926(f927(f926(a920,a920),a918),f927(f926(a920,a920),a918))),f318(f318(f243(f927(f926(a920,a920),a918),f927(f926(a920,a920),a918)),f318(f318(f300(f926(a920,a920)),x101301),x101302)),x101303)),a28))
% 202.92/202.78 [10131]~P1(f318(f318(f320(f926(a920,a920)),x101314),x101313))+~P1(f318(f318(f320(f926(f926(a920,a920),f926(a920,a920))),f318(f318(f243(f926(a920,a920),f926(a920,a920)),x101311),x101314)),a64))+~P1(f318(f318(f320(f926(f927(f926(a920,a920),a918),f927(f926(a920,a920),a918))),f318(f318(f243(f927(f926(a920,a920),a918),f927(f926(a920,a920),a918)),x101312),x101313)),a63))+P1(f318(f318(f320(f926(f927(f926(a920,a920),a918),f927(f926(a920,a920),a918))),f318(f318(f243(f927(f926(a920,a920),a918),f927(f926(a920,a920),a918)),f318(f318(f300(f926(a920,a920)),x101311),x101312)),x101313)),a63))
% 202.92/202.78 [6206]~P7(x62064,x62061)+~P1(f318(f318(x62061,x62062),x62065))+P1(f318(f318(x62061,x62062),x62063))+~P1(f318(f318(x62061,x62065),x62063))
% 202.92/202.78 [6207]~P53(x62074,x62071)+~P1(f318(f318(x62071,x62072),x62075))+P1(f318(f318(x62071,x62072),x62073))+~P1(f318(f318(x62071,x62075),x62073))
% 202.92/202.78 [6208]~P16(x62084,x62081)+~P1(f318(f318(x62081,x62082),x62085))+P1(f318(f318(x62081,x62082),x62083))+~P1(f318(f318(x62081,x62085),x62083))
% 202.92/202.78 [8929]~P7(x89294,x89293)+~P1(f318(x89291,x89295))+P1(f318(x89292,f841(x89292,x89291,x89293,x89294)))+P1(f318(x89291,f838(x89292,x89291,x89293,x89294)))
% 202.92/202.78 [9167]~P7(x91674,x91673)+~P1(f318(x91672,x91675))+~P1(f318(x91671,f838(x91671,x91672,x91673,x91674)))+P1(f318(x91671,f841(x91671,x91672,x91673,x91674)))
% 202.92/202.78 [9351]~P7(x93514,x93513)+~P1(f318(x93511,x93515))+P1(f318(f318(f320(x93514),f841(x93512,x93511,x93513,x93514)),f261(x93514,x93513)))+P1(f318(x93511,f838(x93512,x93511,x93513,x93514)))
% 202.92/202.78 [9476]~P7(x94761,x94764)+~P1(f318(x94763,x94765))+~P1(f318(x94762,f838(x94762,x94763,x94764,x94761)))+P1(f318(f318(f320(x94761),f841(x94762,x94763,x94764,x94761)),f261(x94761,x94764)))
% 202.92/202.78 [9770]~P40(x97701,x97704)+P1(f318(f318(f320(f926(f921(x97701),f921(x97701))),f318(f318(f243(f921(x97701),f921(x97701)),x97702),x97703)),f138(x97701,x97704)))+~P1(f318(f318(f320(f926(f921(x97701),f921(x97701))),f318(f318(f243(f921(x97701),f921(x97701)),x97702),x97705)),f138(x97701,x97704)))+~P1(f318(f318(f320(f926(f921(x97701),f921(x97701))),f318(f318(f243(f921(x97701),f921(x97701)),x97705),x97703)),f138(x97701,x97704)))
% 202.92/202.78 [5439]~P69(x54395)+E(x54391,x54392)+~E(x54393,x54394)+~E(f318(f318(f3(x54395),x54393),x54394),f318(f318(f3(x54395),x54391),x54392))
% 202.92/202.78 [6321]~P18(x63215,x63211,x63213)+E(f318(f318(x63211,x63212),f318(x63213,x63214)),f318(x63213,x63214))+~P1(f318(f55(x63215),x63214))+~P1(f318(f318(f320(x63215),x63212),x63214))
% 202.92/202.78 [6514]~P67(x65141)+~E(f318(f318(f3(x65141),x65144),x65145),f318(f318(f3(x65141),x65142),x65143))+~P1(f318(f318(f225(x65141),x65144),x65145))+P1(f318(f318(f225(x65141),x65142),x65143))
% 202.92/202.78 [6516]~P67(x65161)+~E(f318(f318(f3(x65161),x65164),x65165),f318(f318(f3(x65161),x65162),x65163))+~P1(f318(f318(f226(x65161),x65164),x65165))+P1(f318(f318(f226(x65161),x65162),x65163))
% 202.92/202.78 [7509]~E(x75092,f318(f318(f142(x75091),x75094),x75095))+P1(f318(f318(f320(f921(x75091)),x75092),f152(x75091,x75093)))+~P1(f318(f318(f320(f921(x75091)),x75095),f152(x75091,x75093)))+~P1(f318(f318(f320(x75091),x75094),x75093))
% 202.92/202.78 [7912]~E(f318(f180(f921(x79121)),x79123),f318(f180(f921(x79122)),x79124))+~E(f318(f318(f145(f926(x79121,x79122),x79122),f247(x79121,x79122)),x79125),x79124)+~E(f318(f318(f145(f926(x79121,x79122),x79121),f242(x79121,x79122)),x79125),x79123)+E(f318(f318(f172(x79121,x79122),x79123),x79124),x79125)
% 202.92/202.78 [8247]~P113(x82471)+P1(f318(f318(f226(f927(x82471,a918)),f294(x82471,x82472,x82473)),f294(x82471,x82474,x82475)))+~P1(f318(f318(f225(x82471),x82474),x82475))+P1(f318(f318(f225(x82471),x82472),x82473))
% 202.92/202.78 [8349]~P113(x83491)+P1(f318(f318(f225(f927(x83491,a918)),f294(x83491,x83492,x83493)),f294(x83491,x83494,x83495)))+~P1(f318(f318(f225(x83491),x83493),x83495))+~P1(f318(f318(f225(x83491),x83494),x83492))
% 202.92/202.78 [8468]~P4(x84681)+P1(f318(f318(f225(x84681),x84682),x84683))+P1(f318(f318(f225(x84681),x84684),x84683))+~P1(f318(f318(f225(f927(x84681,a918)),f318(f293(x84681,x84683),x84682)),f318(f293(x84681,x84684),x84685)))
% 202.92/202.78 [8469]~P4(x84691)+P1(f318(f318(f225(x84691),x84692),x84693))+P1(f318(f318(f225(x84691),x84692),x84694))+~P1(f318(f318(f225(f927(x84691,a918)),f318(f293(x84691,x84693),x84692)),f318(f293(x84691,x84695),x84694)))
% 202.92/202.78 [8638]~P103(x86383)+~P103(x86381)+~P42(x86383,x86381,x86382)+P1(f318(f318(f225(x86381),f318(x86382,f318(f318(f92(x86383),x86384),x86385))),f318(f318(f92(x86381),f318(x86382,x86384)),f318(x86382,x86385))))
% 202.92/202.78 [8639]~P4(x86393)+~P103(x86391)+~P42(x86393,x86391,x86392)+P1(f318(f318(f225(x86391),f318(x86392,f318(f318(f223(x86393),x86394),x86395))),f318(f318(f92(x86391),f318(x86392,x86394)),f318(x86392,x86395))))
% 202.92/202.78 [8706]~P113(x87061)+~P1(f318(f318(f225(f927(x87061,a918)),f294(x87061,x87064,x87062)),f294(x87061,x87065,x87063)))+P1(f318(f318(f225(x87061),x87062),x87063))+~P1(f318(f318(f225(x87061),x87064),x87062))
% 202.92/202.78 [8707]~P113(x87071)+~P1(f318(f318(f226(f927(x87071,a918)),f294(x87071,x87074,x87072)),f294(x87071,x87075,x87073)))+P1(f318(f318(f225(x87071),x87072),x87073))+~P1(f318(f318(f225(x87071),x87074),x87072))
% 202.92/202.78 [8708]~P113(x87081)+~P1(f318(f318(f225(f927(x87081,a918)),f294(x87081,x87083,x87084)),f294(x87081,x87082,x87085)))+P1(f318(f318(f225(x87081),x87082),x87083))+~P1(f318(f318(f225(x87081),x87083),x87084))
% 202.92/202.78 [8709]~P113(x87091)+~P1(f318(f318(f226(f927(x87091,a918)),f294(x87091,x87093,x87094)),f294(x87091,x87092,x87095)))+P1(f318(f318(f225(x87091),x87092),x87093))+~P1(f318(f318(f225(x87091),x87093),x87094))
% 202.92/202.78 [6151]~P4(x61515)+~P4(x61511)+~P42(x61515,x61511,x61512)+E(f318(f318(f223(x61511),f318(x61512,x61513)),f318(x61512,x61514)),f318(x61512,f318(f318(f223(x61515),x61513),x61514)))
% 202.92/202.78 [6152]~P4(x61525)+~P4(x61521)+~P42(x61525,x61521,x61522)+E(f318(f318(f224(x61521),f318(x61522,x61523)),f318(x61522,x61524)),f318(x61522,f318(f318(f224(x61525),x61523),x61524)))
% 202.92/202.78 [6205]~P18(x62052,x62055,x62053)+E(x62051,f179(f927(x62052,a918)))+~P1(f318(f55(x62052),x62051))+E(f318(x62053,f318(f318(f300(x62052),x62054),x62051)),f318(f318(x62055,x62054),f318(x62053,x62051)))
% 202.92/202.78 [6994]~E(x69941,x69942)+~E(f318(f318(f92(f927(x69943,a918)),x69944),x69945),f179(f927(x69943,a918)))+~P1(f318(f318(f320(x69943),x69942),x69945))+~P1(f318(f318(f320(x69943),x69941),x69944))
% 202.92/202.78 [7078]~P19(x70782,x70785,x70781)+~P1(f318(f55(x70782),x70784))+E(f318(x70781,f318(f318(f300(x70782),x70783),x70784)),f318(f318(f58(x70782,x70782,x70785),x70783),x70784))+P1(f318(f318(f320(x70782),x70783),x70784))
% 202.92/202.78 [7146]~P84(x71462)+~P1(f318(f55(x71461),x71465))+E(f318(f318(f11(x71461,x71462),x71463),f318(f318(f300(x71461),x71464),x71465)),f318(f318(f74(x71462),f318(x71463,x71464)),f318(f318(f11(x71461,x71462),x71463),x71465)))+P1(f318(f318(f320(x71461),x71464),x71465))
% 202.92/202.78 [7148]~P83(x71482)+~P1(f318(f55(x71481),x71485))+E(f318(f318(f8(x71481,x71482),x71483),f318(f318(f300(x71481),x71484),x71485)),f318(f318(f73(x71482),f318(x71483,x71484)),f318(f318(f8(x71481,x71482),x71483),x71485)))+P1(f318(f318(f320(x71481),x71484),x71485))
% 202.92/202.78 [7555]~P118(x75551)+~P1(f318(f55(x75554),x75555))+~P1(f318(f318(f320(x75554),x75553),x75555))+P1(f318(f318(f278(x75551),f318(x75552,x75553)),f318(f318(f11(x75554,x75551),x75552),x75555)))
% 202.92/202.78 [7654]~P19(x76542,x76545,x76541)+~P1(f318(f55(x76542),x76544))+E(f318(x76541,f318(f318(f300(x76542),x76543),x76544)),x76543)+~E(f318(f318(f3(f927(x76542,a918)),x76544),f318(f318(f300(x76542),x76543),f179(f927(x76542,a918)))),f179(f927(x76542,a918)))
% 202.92/202.78 [8012]~P70(x80121)+E(f318(f318(f30(x80121),f318(f318(f74(x80121),x80122),x80123)),f318(f318(f74(x80121),x80124),x80125)),f318(f318(f74(x80121),f318(f318(f30(x80121),x80122),x80124)),f318(f318(f30(x80121),x80123),x80125)))+~P1(f318(f318(f278(x80121),x80125),x80123))+~P1(f318(f318(f278(x80121),x80124),x80122))
% 202.92/202.78 [8016]~P103(x80161)+~P1(f318(f318(f225(x80161),x80163),x80165))+~P1(f318(f318(f225(x80161),x80162),x80164))+P1(f318(f318(f225(x80161),f318(f318(f92(x80161),x80162),x80163)),f318(f318(f92(x80161),x80164),x80165)))
% 202.92/202.78 [8017]~P109(x80171)+~P1(f318(f318(f225(x80171),x80173),x80175))+~P1(f318(f318(f225(x80171),x80172),x80174))+P1(f318(f318(f225(x80171),f318(f318(f101(x80171),x80172),x80173)),f318(f318(f101(x80171),x80174),x80175)))
% 202.92/202.78 [8018]~P92(x80181)+~P1(f318(f318(f225(x80181),x80183),x80185))+~P1(f318(f318(f225(x80181),x80182),x80184))+P1(f318(f318(f225(x80181),f318(f318(f73(x80181),x80182),x80183)),f318(f318(f73(x80181),x80184),x80185)))
% 202.92/202.78 [8019]~P4(x80191)+~P1(f318(f318(f225(x80191),x80193),x80195))+~P1(f318(f318(f225(x80191),x80192),x80194))+P1(f318(f318(f225(x80191),f318(f318(f223(x80191),x80192),x80193)),f318(f318(f223(x80191),x80194),x80195)))
% 202.92/202.78 [8020]~P4(x80201)+~P1(f318(f318(f225(x80201),x80203),x80205))+~P1(f318(f318(f225(x80201),x80202),x80204))+P1(f318(f318(f225(x80201),f318(f318(f224(x80201),x80202),x80203)),f318(f318(f224(x80201),x80204),x80205)))
% 202.92/202.78 [8021]~P94(x80211)+~P1(f318(f318(f225(x80211),x80213),x80215))+~P1(f318(f318(f226(x80211),x80212),x80214))+P1(f318(f318(f226(x80211),f318(f318(f73(x80211),x80212),x80213)),f318(f318(f73(x80211),x80214),x80215)))
% 202.92/202.78 [8022]~P94(x80221)+~P1(f318(f318(f225(x80221),x80222),x80224))+~P1(f318(f318(f226(x80221),x80223),x80225))+P1(f318(f318(f226(x80221),f318(f318(f73(x80221),x80222),x80223)),f318(f318(f73(x80221),x80224),x80225)))
% 202.92/202.78 [8023]~P94(x80231)+~P1(f318(f318(f226(x80231),x80233),x80235))+~P1(f318(f318(f226(x80231),x80232),x80234))+P1(f318(f318(f226(x80231),f318(f318(f73(x80231),x80232),x80233)),f318(f318(f73(x80231),x80234),x80235)))
% 202.92/202.78 [8024]~P118(x80241)+~P1(f318(f318(f278(x80241),x80243),x80245))+~P1(f318(f318(f278(x80241),x80242),x80244))+P1(f318(f318(f278(x80241),f318(f318(f74(x80241),x80242),x80243)),f318(f318(f74(x80241),x80244),x80245)))
% 202.92/202.78 [8162]~P149(x81625)+E(x81621,x81622)+E(x81623,x81624)+~E(f318(f318(f73(x81625),f318(f318(f74(x81625),x81623),x81621)),f318(f318(f74(x81625),x81624),x81622)),f318(f318(f73(x81625),f318(f318(f74(x81625),x81623),x81622)),f318(f318(f74(x81625),x81624),x81621)))
% 202.92/202.78 [8299]P28(x82991,x82992,x82993)+~P29(x82991,x82994,x82995)+~P28(x82991,x82992,f547(x82995,x82994,x82991,x82992))+~P1(f318(f318(f320(f919(x82991)),x82993),x82995))
% 202.92/202.78 [8370]~P4(x83704)+~P1(f318(f128(x83701),x83703))+P1(f318(f318(f320(x83701),x83702),f318(f163(x83701),x83703)))+P1(f318(f128(x83701),f318(f318(f139(x83701,x83704,x83705),x83702),x83703)))
% 202.92/202.78 [8515]~P69(x85151)+E(f318(f318(f3(x85151),f318(f318(f8(a920,x85151),x85152),f318(f293(a920,x85153),x85154))),f318(f318(f8(a920,x85151),x85152),f318(f293(a920,x85153),x85155))),f318(f318(f8(a920,x85151),x85152),f318(f293(a920,x85155),x85154)))+~P1(f318(f318(f225(a920),x85155),x85154))+~P1(f318(f318(f225(a920),x85153),x85155))
% 202.92/202.78 [8516]~P83(x85161)+E(f318(f318(f73(x85161),f318(f318(f8(a920,x85161),x85162),f318(f293(a920,x85163),x85164))),f318(f318(f8(a920,x85161),x85162),f318(f293(a920,x85164),x85165))),f318(f318(f8(a920,x85161),x85162),f318(f293(a920,x85163),x85165)))+~P1(f318(f318(f225(a920),x85164),x85165))+~P1(f318(f318(f225(a920),x85163),x85164))
% 202.92/202.78 [8850]~P75(x88502)+E(x88501,f2(x88502))+E(x88503,f2(x88502))+E(f318(f318(f282(x88502),f318(f318(f3(x88502),f318(f318(f74(x88502),x88504),x88501)),f318(f318(f74(x88502),x88505),x88503))),f318(f318(f74(x88502),x88503),x88501)),f318(f318(f3(x88502),f318(f318(f282(x88502),x88504),x88503)),f318(f318(f282(x88502),x88505),x88501)))
% 202.92/202.78 [8851]~P75(x88512)+E(x88511,f2(x88512))+E(x88513,f2(x88512))+E(f318(f318(f282(x88512),f318(f318(f73(x88512),f318(f318(f74(x88512),x88514),x88511)),f318(f318(f74(x88512),x88515),x88513))),f318(f318(f74(x88512),x88513),x88511)),f318(f318(f73(x88512),f318(f318(f282(x88512),x88514),x88513)),f318(f318(f282(x88512),x88515),x88511)))
% 202.92/202.78 [8860]~E(x88602,f318(x88603,x88601))+E(x88601,f833(x88602,x88603,x88604,x88605))+~P25(x88605,x88604,x88603,f233(f927(x88605,a918)))+~P1(f318(f318(f320(x88604),x88602),f318(f301(x88605,x88604,x88603),f233(f927(x88605,a918)))))
% 202.92/202.78 [9079]~P116(x90791)+~P1(f318(f318(f226(x90791),f318(f69(x90791),x90792)),x90794))+P1(f318(f318(f226(x90791),f318(f318(f74(x90791),f318(f69(x90791),x90792)),f318(f69(x90791),x90793))),f318(f318(f74(x90791),x90794),x90795)))+~P1(f318(f318(f226(x90791),f318(f69(x90791),x90793)),x90795))
% 202.92/202.78 [9098]~P29(x90981,x90985,x90984)+P28(x90981,x90982,x90983)+P1(f318(f318(f320(f919(x90981)),f547(x90984,x90985,x90981,x90982)),x90985))+~P1(f318(f318(f320(f919(x90981)),x90983),x90984))
% 202.92/202.78 [9193]~P25(x91931,x91933,x91935,x91932)+~P1(f318(f55(x91933),x91934))+P1(f318(f318(f225(a920),f318(f29(x91931),x91932)),f318(f29(x91933),x91934)))+~P1(f318(f318(f225(f927(x91933,a918)),f318(f301(x91931,x91933,x91935),x91932)),x91934))
% 202.92/202.78 [9261]~P84(x92612)+~P25(x92611,x92611,x92614,x92615)+~P1(f318(f55(x92611),x92615))+E(f318(f318(f11(x92611,x92612),f318(f66(x92611,x92612,x92611,x92613),x92614)),x92615),f318(f318(f11(x92611,x92612),x92613),f318(f301(x92611,x92611,x92614),x92615)))
% 202.92/202.78 [9262]~P83(x92622)+~P25(x92621,x92621,x92624,x92625)+~P1(f318(f55(x92621),x92625))+E(f318(f318(f8(x92621,x92622),f318(f66(x92621,x92622,x92621,x92623),x92624)),x92625),f318(f318(f8(x92621,x92622),x92623),f318(f301(x92621,x92621,x92624),x92625)))
% 202.92/202.78 [9381]~P39(x93811,x93812)+~P1(f318(f318(f320(x93811),x93813),x93814))+~P1(f318(f318(f320(x93811),x93815),x93814))+~P1(f318(f318(f320(f926(x93811,x93811)),f318(f318(f243(x93811,x93811),x93815),f615(x93812,x93811,x93814))),x93812))
% 202.92/202.78 [9418]~P25(x94182,x94183,x94185,x94181)+E(x94181,f179(f927(x94182,a918)))+E(f318(f301(x94183,x94182,f848(x94184,x94183,x94182,x94181)),x94184),x94181)+~P1(f318(f318(f225(f927(x94183,a918)),f318(f301(x94182,x94183,x94185),x94181)),x94184))
% 202.92/202.78 [9907]~P4(x99075)+~P5(x99075)+P1(f318(f318(f320(x99071),f483(x99072,x99073,x99071,x99074,x99075)),x99073))+~P1(f318(f318(f226(x99075),x99074),f318(f318(f33(x99071,x99075),x99073),x99072)))
% 202.92/202.78 [9912]~P4(x99121)+~P5(x99121)+P1(f318(f318(f226(x99121),x99122),f318(x99123,f483(x99123,x99124,x99125,x99122,x99121))))+~P1(f318(f318(f226(x99121),x99122),f318(f318(f33(x99125,x99121),x99124),x99123)))
% 202.92/202.78 [9993]~P78(x99931)+~P1(f318(f60(x99931,x99931,f74(x99931),x99932,x99933),x99935))+P1(f318(f318(f320(x99931),x99932),x99933))+P1(f318(f60(x99931,x99931,f74(x99931),x99934,f318(f318(f300(x99931),x99932),x99933)),f318(f318(f74(x99931),x99934),x99935)))
% 202.92/202.78 [10208]~P84(x102082)+~P1(f318(f55(x102081),x102085))+E(f318(f318(f11(x102081,x102082),f318(f318(f9(x102081,x102082,x102082),f318(f318(f20(x102081,x102082,f927(x102082,x102082)),f318(f318(f10(a918,f927(x102082,f927(x102082,x102082)),x102081),f85(x102082)),f318(a315,x102083))),x102084)),f71(x102082))),x102085),f71(x102082))+P1(f318(f318(f320(x102081),x102083),x102085))
% 202.92/202.78 [10209]~P83(x102092)+~P1(f318(f55(x102091),x102095))+E(f318(f318(f8(x102091,x102092),f318(f318(f9(x102091,x102092,x102092),f318(f318(f20(x102091,x102092,f927(x102092,x102092)),f318(f318(f10(a918,f927(x102092,f927(x102092,x102092)),x102091),f85(x102092)),f318(a315,x102093))),x102094)),f2(x102092))),x102095),f2(x102092))+P1(f318(f318(f320(x102091),x102093),x102095))
% 202.92/202.78 [10210]~P84(x102102)+~P1(f318(f55(x102101),x102105))+E(f318(f318(f11(x102101,x102102),f318(f318(f9(x102101,x102102,x102102),f318(f318(f20(x102101,x102102,f927(x102102,x102102)),f318(f318(f10(a918,f927(x102102,f927(x102102,x102102)),x102101),f85(x102102)),f318(a315,x102103))),x102104)),f71(x102102))),x102105),f318(x102104,x102103))+~P1(f318(f318(f320(x102101),x102103),x102105))
% 202.92/202.78 [10211]~P83(x102112)+~P1(f318(f55(x102111),x102115))+E(f318(f318(f8(x102111,x102112),f318(f318(f9(x102111,x102112,x102112),f318(f318(f20(x102111,x102112,f927(x102112,x102112)),f318(f318(f10(a918,f927(x102112,f927(x102112,x102112)),x102111),f85(x102112)),f318(a315,x102113))),x102114)),f2(x102112))),x102115),f318(x102114,x102113))+~P1(f318(f318(f320(x102111),x102113),x102115))
% 202.92/202.78 [10269]~P84(x102692)+~P1(f318(f55(x102691),x102695))+E(f318(f318(f11(x102691,x102692),f318(f318(f9(x102691,x102692,x102692),f318(f318(f20(x102691,x102692,f927(x102692,x102692)),f318(f318(f10(a918,f927(x102692,f927(x102692,x102692)),x102691),f85(x102692)),f318(f318(f9(x102691,x102691,a918),a315),x102693))),x102694)),f71(x102692))),x102695),f71(x102692))+P1(f318(f318(f320(x102691),x102693),x102695))
% 202.92/202.78 [10270]~P83(x102702)+~P1(f318(f55(x102701),x102705))+E(f318(f318(f8(x102701,x102702),f318(f318(f9(x102701,x102702,x102702),f318(f318(f20(x102701,x102702,f927(x102702,x102702)),f318(f318(f10(a918,f927(x102702,f927(x102702,x102702)),x102701),f85(x102702)),f318(f318(f9(x102701,x102701,a918),a315),x102703))),x102704)),f2(x102702))),x102705),f2(x102702))+P1(f318(f318(f320(x102701),x102703),x102705))
% 202.92/202.78 [10272]~P84(x102722)+~P1(f318(f55(x102721),x102725))+E(f318(f318(f11(x102721,x102722),f318(f318(f9(x102721,x102722,x102722),f318(f318(f20(x102721,x102722,f927(x102722,x102722)),f318(f318(f10(a918,f927(x102722,f927(x102722,x102722)),x102721),f85(x102722)),f318(f318(f9(x102721,x102721,a918),a315),x102723))),x102724)),f71(x102722))),x102725),f318(x102724,x102723))+~P1(f318(f318(f320(x102721),x102723),x102725))
% 202.92/202.78 [10273]~P83(x102732)+~P1(f318(f55(x102731),x102735))+E(f318(f318(f8(x102731,x102732),f318(f318(f9(x102731,x102732,x102732),f318(f318(f20(x102731,x102732,f927(x102732,x102732)),f318(f318(f10(a918,f927(x102732,f927(x102732,x102732)),x102731),f85(x102732)),f318(f318(f9(x102731,x102731,a918),a315),x102733))),x102734)),f2(x102732))),x102735),f318(x102734,x102733))+~P1(f318(f318(f320(x102731),x102733),x102735))
% 202.92/202.78 [8015]~P69(x80152)+~P1(f318(f55(x80151),x80154))+E(f318(f318(f8(x80151,x80152),x80153),f318(f318(f3(f927(x80151,a918)),x80154),f318(f318(f300(x80151),x80155),f179(f927(x80151,a918))))),f318(f318(f8(x80151,x80152),x80153),x80154))+P1(f318(f318(f320(x80151),x80155),x80154))
% 202.92/202.78 [8524]~P139(x85242)+~P1(f318(f55(x85241),x85244))+E(f318(f318(f8(x85241,x85242),x85243),f318(f318(f3(f927(x85241,a918)),x85244),f318(f318(f300(x85241),x85245),f179(f927(x85241,a918))))),f318(f318(f3(x85242),f318(f318(f8(x85241,x85242),x85243),x85244)),f318(x85243,x85245)))+~P1(f318(f318(f320(x85241),x85245),x85244))
% 202.92/202.78 [8525]~P69(x85252)+~P1(f318(f55(x85251),x85254))+E(f318(f318(f8(x85251,x85252),x85253),f318(f318(f3(f927(x85251,a918)),x85254),f318(f318(f300(x85251),x85255),f179(f927(x85251,a918))))),f318(f318(f3(x85252),f318(f318(f8(x85251,x85252),x85253),x85254)),f318(x85253,x85255)))+~P1(f318(f318(f320(x85251),x85255),x85254))
% 202.92/202.78 [8554]~P69(x85541)+~P1(f318(f55(x85542),x85544))+E(f318(f318(f3(x85541),f318(f318(f8(x85542,x85541),x85543),x85544)),f318(f318(f8(x85542,x85541),x85543),x85545)),f318(f318(f8(x85542,x85541),x85543),f318(f318(f3(f927(x85542,a918)),x85544),x85545)))+~P1(f318(f318(f225(f927(x85542,a918)),x85545),x85544))
% 202.92/202.78 [8573]P1(f318(f55(x85731),f318(x85732,x85733)))+~P1(f318(f55(x85734),x85735))+~P1(f318(f318(f320(x85734),x85733),x85735))+~P1(f318(f55(x85731),f318(f318(f33(x85734,f927(x85731,a918)),x85735),x85732)))
% 202.92/202.78 [8687]~P109(x86875)+~P109(x86871)+~P42(x86875,x86871,x86872)+P1(f318(f318(f225(x86871),f318(f318(f101(x86871),f318(x86872,x86873)),f318(x86872,x86874))),f318(x86872,f318(f318(f101(x86875),x86873),x86874))))
% 202.92/202.78 [8688]~P4(x86885)+~P109(x86881)+~P42(x86885,x86881,x86882)+P1(f318(f318(f225(x86881),f318(f318(f101(x86881),f318(x86882,x86883)),f318(x86882,x86884))),f318(x86882,f318(f318(f224(x86885),x86883),x86884))))
% 202.92/202.78 [9034]~P8(x90341,x90345,x90344)+~E(f318(f276(x90341,x90341,x90344),f318(f318(f300(x90341),x90342),f179(f927(x90341,a918)))),f318(f276(x90341,x90341,x90344),f318(f318(f300(x90341),x90343),f179(f927(x90341,a918)))))+~P1(f318(f318(f320(x90341),x90343),x90345))+P1(f318(f318(f320(f926(x90341,x90341)),f318(f318(f243(x90341,x90341),x90342),x90343)),x90344))
% 202.92/202.78 [9336]~P1(f318(x93361,x93365))+P1(f318(x93361,f434(x93361,x93362,x93363,x93364)))+P1(f318(x93361,f419(x93361,x93362,x93363,x93364)))+~P1(f318(f318(f320(x93364),x93365),f318(f318(f101(f927(x93364,a918)),x93363),x93362)))
% 202.92/202.78 [9525]~P1(f318(x95251,x95255))+P1(f318(x95251,f419(x95251,x95252,x95253,x95254)))+P1(f318(f318(f320(x95254),f434(x95251,x95252,x95253,x95254)),x95252))+~P1(f318(f318(f320(x95254),x95255),f318(f318(f101(f927(x95254,a918)),x95253),x95252)))
% 202.92/202.78 [9526]~P1(f318(x95261,x95265))+P1(f318(x95261,f434(x95261,x95262,x95263,x95264)))+P1(f318(f318(f320(x95264),f419(x95261,x95262,x95263,x95264)),x95263))+~P1(f318(f318(f320(x95264),x95265),f318(f318(f101(f927(x95264,a918)),x95263),x95262)))
% 202.92/202.78 [9530]P1(f318(x95301,x95302))+~P1(f318(x95301,f415(x95301,x95303,x95304,x95305)))+~P1(f318(x95301,f406(x95301,x95303,x95304,x95305)))+~P1(f318(f318(f320(x95305),x95302),f318(f318(f101(f927(x95305,a918)),x95304),x95303)))
% 202.92/202.78 [9535]~P40(x95351,x95354)+~P1(f318(f318(f320(f926(x95351,x95351)),f318(f318(f243(x95351,x95351),x95352),x95355)),x95354))+P1(f318(f318(f320(f926(x95351,x95351)),f318(f318(f243(x95351,x95351),x95352),x95353)),x95354))+~P1(f318(f318(f320(f926(x95351,x95351)),f318(f318(f243(x95351,x95351),x95355),x95353)),x95354))
% 202.92/202.78 [9574]E(x95741,x95742)+~P1(f318(f318(f320(f926(x95743,x95743)),f318(f318(f243(x95743,x95743),x95741),x95742)),f298(x95743,x95745)))+P1(f318(f318(f320(x95743),x95741),x95744))+~P1(f318(f318(f225(f927(f926(x95743,x95743),a918)),x95745),f318(f318(f245(x95743,x95743),x95744),f318(f18(f927(x95743,a918),x95743),x95744))))
% 202.92/202.78 [9592]P1(f318(x95921,x95922))+~P1(f318(x95921,f406(x95921,x95924,x95925,x95923)))+P1(f318(f318(f320(x95923),f415(x95921,x95924,x95925,x95923)),x95924))+~P1(f318(f318(f320(x95923),x95922),f318(f318(f101(f927(x95923,a918)),x95925),x95924)))
% 202.92/202.78 [9593]P1(f318(x95931,x95932))+~P1(f318(x95931,f415(x95931,x95934,x95935,x95933)))+P1(f318(f318(f320(x95933),f406(x95931,x95934,x95935,x95933)),x95935))+~P1(f318(f318(f320(x95933),x95932),f318(f318(f101(f927(x95933,a918)),x95935),x95934)))
% 202.92/202.78 [9661]P1(f318(x96611,x96612))+P1(f318(f318(f320(x96613),f415(x96611,x96614,x96615,x96613)),x96614))+P1(f318(f318(f320(x96613),f406(x96611,x96614,x96615,x96613)),x96615))+~P1(f318(f318(f320(x96613),x96612),f318(f318(f101(f927(x96613,a918)),x96615),x96614)))
% 202.92/202.78 [9663]~P1(f318(x96632,x96635))+P1(f318(f318(f320(x96631),f434(x96632,x96633,x96634,x96631)),x96633))+P1(f318(f318(f320(x96631),f419(x96632,x96633,x96634,x96631)),x96634))+~P1(f318(f318(f320(x96631),x96635),f318(f318(f101(f927(x96631,a918)),x96634),x96633)))
% 202.92/202.78 [9812]~P8(x98121,x98125,x98124)+~P1(f318(f318(f320(x98121),x98123),x98125))+P1(f318(f318(f320(f926(x98121,x98121)),f318(f318(f243(x98121,x98121),x98122),x98123)),x98124))+~P1(f318(f318(f225(f927(x98121,a918)),f318(f276(x98121,x98121,x98124),f318(f318(f300(x98121),x98123),f179(f927(x98121,a918))))),f318(f276(x98121,x98121,x98124),f318(f318(f300(x98121),x98122),f179(f927(x98121,a918))))))
% 202.92/202.78 [9942]~P4(x99425)+~P5(x99425)+P1(f318(f318(f320(x99421),f488(x99422,x99423,x99424,x99421,x99425)),x99424))+~P1(f318(f318(f226(x99425),f318(f318(f34(x99421,x99425),x99424),x99423)),x99422))
% 202.92/202.78 [9975]~P92(x99755)+~P89(x99755)+P1(f318(f318(f320(x99751),f698(x99752,x99753,x99754,x99751,x99755)),f318(f163(x99751),x99754)))+P1(f318(f318(f225(x99755),f318(f156(x99755),f318(f318(f145(x99751,x99755),x99753),x99754))),f318(f156(x99755),f318(f318(f145(x99751,x99755),x99752),x99754))))
% 202.92/202.78 [10087]~P4(x100871)+~P5(x100871)+P1(f318(f318(f226(x100871),f318(x100872,f488(x100873,x100872,x100874,x100875,x100871))),x100873))+~P1(f318(f318(f226(x100871),f318(f318(f34(x100875,x100871),x100874),x100872)),x100873))
% 202.92/202.78 [10226]~P92(x102261)+~P89(x102261)+~P1(f318(f318(f225(x102261),f318(x102263,f698(x102265,x102263,x102264,x102262,x102261))),f318(x102265,f698(x102265,x102263,x102264,x102262,x102261))))+P1(f318(f318(f225(x102261),f318(f156(x102261),f318(f318(f145(x102262,x102261),x102263),x102264))),f318(f156(x102261),f318(f318(f145(x102262,x102261),x102265),x102264))))
% 202.92/202.78 [8872]~P84(x88721)+~P1(f318(f55(x88724),x88725))+~P1(f318(f318(f320(x88724),x88723),x88725))+E(f318(f318(f74(x88721),f318(x88722,x88723)),f318(f318(f11(x88724,x88721),x88722),f318(f318(f3(f927(x88724,a918)),x88725),f318(f318(f300(x88724),x88723),f179(f927(x88724,a918)))))),f318(f318(f11(x88724,x88721),x88722),x88725))
% 202.92/202.78 [8874]~P83(x88741)+~P1(f318(f55(x88744),x88745))+~P1(f318(f318(f320(x88744),x88743),x88745))+E(f318(f318(f73(x88741),f318(x88742,x88743)),f318(f318(f8(x88744,x88741),x88742),f318(f318(f3(f927(x88744,a918)),x88745),f318(f318(f300(x88744),x88743),f179(f927(x88744,a918)))))),f318(f318(f8(x88744,x88741),x88742),x88745))
% 202.92/202.78 [8934]~P19(x89341,x89344,x89345)+~P1(f318(f55(x89341),x89342))+E(f318(f318(f3(f927(x89341,a918)),x89342),f318(f318(f300(x89341),x89343),f179(f927(x89341,a918)))),f179(f927(x89341,a918)))+E(f318(f318(x89344,x89343),f318(x89345,f318(f318(f3(f927(x89341,a918)),x89342),f318(f318(f300(x89341),x89343),f179(f927(x89341,a918)))))),f318(x89345,f318(f318(f300(x89341),x89343),x89342)))
% 202.92/202.78 [9315]~P84(x93151)+~P1(f318(f55(x93152),x93155))+~P1(f318(f55(x93152),x93154))+E(f318(f318(f74(x93151),f318(f318(f11(x93152,x93151),x93153),f318(f318(f101(f927(x93152,a918)),x93154),x93155))),f318(f318(f11(x93152,x93151),x93153),f318(f318(f92(f927(x93152,a918)),x93154),x93155))),f318(f318(f74(x93151),f318(f318(f11(x93152,x93151),x93153),x93154)),f318(f318(f11(x93152,x93151),x93153),x93155)))
% 202.92/202.78 [9316]~P83(x93161)+~P1(f318(f55(x93162),x93165))+~P1(f318(f55(x93162),x93164))+E(f318(f318(f73(x93161),f318(f318(f8(x93162,x93161),x93163),f318(f318(f101(f927(x93162,a918)),x93164),x93165))),f318(f318(f8(x93162,x93161),x93163),f318(f318(f92(f927(x93162,a918)),x93164),x93165))),f318(f318(f73(x93161),f318(f318(f8(x93162,x93161),x93163),x93164)),f318(f318(f8(x93162,x93161),x93163),x93165)))
% 202.92/202.78 [9457]~P69(x94571)+~P1(f318(f55(x94572),x94575))+~P1(f318(f55(x94572),x94574))+E(f318(f318(f3(x94571),f318(f318(f73(x94571),f318(f318(f8(x94572,x94571),x94573),x94574)),f318(f318(f8(x94572,x94571),x94573),x94575))),f318(f318(f8(x94572,x94571),x94573),f318(f318(f92(f927(x94572,a918)),x94574),x94575))),f318(f318(f8(x94572,x94571),x94573),f318(f318(f101(f927(x94572,a918)),x94574),x94575)))
% 202.92/202.78 [9674]~P25(x96741,x96742,x96743,x96745)+~P25(x96741,x96742,x96743,x96744)+P25(x96741,x96742,x96743,f318(f318(f101(f927(x96741,a918)),x96744),x96745))+~E(f318(f318(f92(f927(x96742,a918)),f318(f301(x96741,x96742,x96743),f318(f318(f3(f927(x96741,a918)),x96744),x96745))),f318(f301(x96741,x96742,x96743),f318(f318(f3(f927(x96741,a918)),x96745),x96744))),f179(f927(x96742,a918)))
% 202.92/202.78 [9787]E(x97871,f2(a1))+~P1(f318(f318(f226(a1),f2(a1)),x97873))+~P1(f318(f43(x97872,x97871),f318(f318(f243(a1,a1),x97874),x97875)))+P1(f318(f43(x97872,f318(f318(f74(a1),x97871),x97873)),f318(f318(f243(a1,a1),f318(f318(f30(a1),x97874),x97873)),f318(f318(f73(a1),f318(f318(f74(a1),x97871),f39(a1,x97874,x97873))),x97875))))
% 202.92/202.78 [9795]~P1(f318(f318(f226(a920),f2(a920)),x97953))+~P1(f318(f318(f226(a920),f2(a920)),x97952))+~P1(f318(f42(x97951,x97952),f318(f318(f243(a920,a920),x97954),x97955)))+P1(f318(f42(x97951,f318(f318(f74(a920),x97952),x97953)),f318(f318(f243(a920,a920),f318(f318(f30(a920),x97954),x97953)),f318(f318(f73(a920),f318(f318(f74(a920),x97952),f39(a920,x97954,x97953))),x97955))))
% 202.92/202.78 [9845]~P84(x98451)+~P1(f318(f55(x98452),x98455))+~P1(f318(f55(x98452),x98454))+E(f318(f318(f74(x98451),f318(f318(f318(f59(x98451,x98452,f74(x98451)),x98453),f71(x98451)),f318(f318(f101(f927(x98452,a918)),x98454),x98455))),f318(f318(f318(f59(x98451,x98452,f74(x98451)),x98453),f71(x98451)),f318(f318(f92(f927(x98452,a918)),x98454),x98455))),f318(f318(f74(x98451),f318(f318(f318(f59(x98451,x98452,f74(x98451)),x98453),f71(x98451)),x98454)),f318(f318(f318(f59(x98451,x98452,f74(x98451)),x98453),f71(x98451)),x98455)))
% 202.92/202.78 [9847]~E(f318(f318(f166(x98471),x98475),x98472),f318(f318(f166(x98471),x98475),x98473))+P1(f318(f318(f320(f926(f921(x98471),f921(x98471))),f318(f318(f243(f921(x98471),f921(x98471)),x98472),x98473)),f138(x98471,x98474)))+~P1(f318(f318(f226(a920),x98475),f318(f318(f223(a920),f318(f180(f921(x98471)),x98472)),f318(f180(f921(x98471)),x98473))))+~P1(f318(f318(f320(f926(x98471,x98471)),f318(f318(f243(x98471,x98471),f318(f318(f155(x98471),x98472),x98475)),f318(f318(f155(x98471),x98473),x98475))),x98474))
% 202.92/202.78 [9964]~P115(x99645)+~P92(x99645)+P1(f318(f318(f320(x99641),f422(x99642,x99643,x99644,x99641,x99645)),x99644))+P1(f318(f318(f225(x99645),f318(f318(f8(x99641,x99645),x99643),x99644)),f318(f318(f74(x99645),f318(f91(x99645),f318(f29(x99641),x99644))),x99642)))
% 202.92/202.78 [10144]~P115(x101441)+~P92(x101441)+~P1(f318(f318(f225(x101441),f318(x101443,f422(x101445,x101443,x101444,x101442,x101441))),x101445))+P1(f318(f318(f225(x101441),f318(f318(f8(x101442,x101441),x101443),x101444)),f318(f318(f74(x101441),f318(f91(x101441),f318(f29(x101442),x101444))),x101445)))
% 202.92/202.78 [8902]E(f318(f318(f125(x89021),x89022),x89023),f318(f318(f125(x89021),x89024),x89025))+~E(f318(f318(f166(x89021),f318(f180(f921(x89021)),x89022)),x89024),x89022)+~E(f318(f318(f125(x89021),f318(f318(f129(x89021),f318(f180(f921(x89021)),x89022)),x89024)),x89025),x89023)+P1(f318(f318(f225(a920),f318(f180(f921(x89021)),x89024)),f318(f180(f921(x89021)),x89022)))
% 202.92/202.78 [9033]E(f318(f318(f125(x90331),x90332),x90333),f318(f318(f125(x90331),x90334),x90335))+~E(f318(f318(f166(x90331),f318(f180(f921(x90331)),x90332)),x90334),x90332)+~E(x90333,f318(f318(f125(x90331),f318(f318(f129(x90331),f318(f180(f921(x90331)),x90332)),x90334)),x90335))+~P1(f318(f318(f225(a920),f318(f180(f921(x90331)),x90332)),f318(f180(f921(x90331)),x90334)))
% 202.92/202.78 [10290]~P1(f318(x102905,x102904))+~P1(f318(f55(x102902),f318(f253(x102902),x102905)))+P1(f318(f55(x102901),f318(f253(x102901),f318(f318(f9(x102901,x102902,a918),x102903),x102904))))+~P1(f318(f55(x102901),f318(f253(x102901),f318(f318(f10(f927(x102902,a918),a918,x102901),f80(x102902)),f318(f318(f10(f927(x102902,a918),f927(x102902,a918),x102901),f318(f20(x102902,a918,a918),f318(f318(f10(a918,f927(a918,a918),x102902),a316),x102905))),x102903)))))
% 202.92/202.78 [10361]~P1(f318(f55(x103612),x103615))+~P1(f318(f318(f320(x103612),x103614),x103615))+P1(f318(f55(x103611),f318(f253(x103611),f318(f318(f9(x103611,x103612,a918),x103613),x103614))))+~P1(f318(f55(x103611),f318(f253(x103611),f318(f318(f10(f927(x103612,a918),a918,x103611),f80(x103612)),f318(f318(f10(f927(x103612,a918),f927(x103612,a918),x103611),f318(f20(x103612,a918,a918),f318(f318(f10(a918,f927(a918,a918),x103612),a316),f318(f318(f9(x103612,f927(x103612,a918),a918),f320(x103612)),x103615)))),x103613)))))
% 202.92/202.78 [8685]~P20(x86855,x86851,x86856,x86852)+E(f318(f66(x86851,x86851,x86851,f318(x86852,x86853)),f318(x86852,x86854)),f318(f66(x86851,x86851,x86851,f318(x86852,x86854)),f318(x86852,x86853)))+~P1(f318(f55(x86855),x86854))+~P1(f318(f55(x86855),x86853))
% 202.92/202.78 [8072]~P25(x80721,x80722,x80724,x80723)+~E(f318(x80724,x80726),x80725)+E(f318(f70(x80721,x80722,x80723,x80724),x80725),x80726)+~P1(f318(f318(f320(x80721),x80726),x80723))
% 202.92/202.78 [8073]~P25(x80731,x80732,x80734,x80733)+~E(f318(x80734,x80736),x80735)+E(f318(f84(x80731,x80732,x80733,x80734),x80735),x80736)+~P1(f318(f318(f320(x80731),x80736),x80733))
% 202.92/202.78 [8268]~P21(x82686,x82681,x82684,x82682)+E(f318(f66(x82681,x82681,x82681,f318(x82682,x82683)),f318(x82684,x82685)),f318(x82682,x82683))+~P1(f318(f55(x82686),x82683))+~P1(f318(f318(f320(x82686),x82685),x82683))
% 202.92/202.78 [9410]E(x94101,x94102)+~E(f318(f84(x94103,x94104,x94105,x94106),x94101),f318(f84(x94103,x94104,x94105,x94106),x94102))+~P1(f318(f318(f320(x94104),x94102),f318(f301(x94103,x94104,x94106),x94105)))+~P1(f318(f318(f320(x94104),x94101),f318(f301(x94103,x94104,x94106),x94105)))
% 202.92/202.78 [9508]~P20(x95083,x95081,x95086,x95082)+E(f318(f66(x95081,x95081,x95081,f318(x95082,f318(f318(f3(f927(x95083,a918)),x95084),f318(f318(f300(x95083),x95085),f179(f927(x95083,a918)))))),f318(x95086,x95085)),f318(x95082,x95084))+~P1(f318(f55(x95083),x95084))+~P1(f318(f318(f320(x95083),x95085),x95084))
% 202.92/202.78 [7151]~P71(x71511)+~E(f39(x71511,x71513,x71514),f39(x71511,x71516,x71514))+~E(f39(x71511,x71512,x71514),f39(x71511,x71515,x71514))+E(f39(x71511,f318(f318(f3(x71511),x71512),x71513),x71514),f39(x71511,f318(f318(f3(x71511),x71515),x71516),x71514))
% 202.92/202.78 [7152]~P70(x71521)+~E(f39(x71521,x71523,x71524),f39(x71521,x71526,x71524))+~E(f39(x71521,x71522,x71524),f39(x71521,x71525,x71524))+E(f39(x71521,f318(f318(f74(x71521),x71522),x71523),x71524),f39(x71521,f318(f318(f74(x71521),x71525),x71526),x71524))
% 202.92/202.78 [7153]~P70(x71531)+~E(f39(x71531,x71533,x71534),f39(x71531,x71536,x71534))+~E(f39(x71531,x71532,x71534),f39(x71531,x71535,x71534))+E(f39(x71531,f318(f318(f73(x71531),x71532),x71533),x71534),f39(x71531,f318(f318(f73(x71531),x71535),x71536),x71534))
% 202.92/202.78 [7966]~P17(x79661,x79662,x79663)+~P1(f318(f55(x79661),x79666))+E(f318(f318(f58(x79661,x79662,x79663),x79664),f318(f318(f300(x79661),x79665),x79666)),f318(f318(f58(x79661,x79662,x79663),f318(f318(x79663,x79665),x79664)),x79666))+P1(f318(f318(f320(x79661),x79665),x79666))
% 202.92/202.78 [8031]~P5(x80311)+P1(f318(f318(f225(x80311),x80312),f318(x80313,x80314)))+~P1(f318(f318(f320(x80315),x80314),x80316))+~P1(f318(f318(f225(x80311),x80312),f318(f318(f34(x80315,x80311),x80316),x80313)))
% 202.92/202.78 [8190]~P17(x81901,x81902,x81903)+~P1(f318(f55(x81901),x81906))+E(f318(f318(f58(x81901,x81902,x81903),x81904),f318(f318(f300(x81901),x81905),x81906)),f318(f318(x81903,x81905),f318(f318(f58(x81901,x81902,x81903),x81904),x81906)))+P1(f318(f318(f320(x81901),x81905),x81906))
% 202.92/202.78 [8286]~P4(x82863)+~P1(f318(x82862,x82865))+~P13(x82863,f318(f318(f145(x82861,x82863),x82864),x82866))+E(f318(f127(x82861,x82862),f318(f318(f139(x82861,x82863,x82864),x82865),x82866)),f318(f318(f139(x82861,x82863,x82864),x82865),f318(f127(x82861,x82862),x82866)))
% 202.92/202.78 [8310]E(x83101,x83102)+E(x83103,f2(a1))+~P1(f318(f43(x83104,x83103),f318(f318(f243(a1,a1),x83105),x83102)))+~P1(f318(f43(x83104,x83103),f318(f318(f243(a1,a1),x83106),x83101)))
% 202.92/202.78 [8311]E(x83111,x83112)+E(x83113,f2(a1))+~P1(f318(f43(x83114,x83113),f318(f318(f243(a1,a1),x83112),x83115)))+~P1(f318(f43(x83114,x83113),f318(f318(f243(a1,a1),x83111),x83116)))
% 202.92/202.78 [8334]~P20(x83342,x83345,x83346,x83341)+~P1(f318(f55(x83342),x83344))+E(f318(x83341,f318(f318(f300(x83342),x83343),x83344)),f318(f66(x83345,x83345,x83345,f318(x83341,x83344)),f318(x83346,x83343)))+P1(f318(f318(f320(x83342),x83343),x83344))
% 202.92/202.78 [8557]~P21(x85575,x85571,x85576,x85572)+E(f318(f66(x85571,x85571,x85571,f318(x85572,x85573)),f318(x85572,x85574)),f318(x85572,x85573))+~P1(f318(f55(x85575),x85573))+~P1(f318(f318(f225(f927(x85575,a918)),x85574),x85573))
% 202.92/202.78 [9717]~P25(x97171,x97172,x97174,x97173)+~P1(f318(f318(f320(x97172),x97175),f318(f301(x97171,x97172,x97174),x97173)))+P1(f318(f318(f320(x97171),f318(f70(x97171,x97172,x97173,x97174),x97175)),x97176))+~P1(f318(f318(f225(f927(x97171,a918)),x97173),x97176))
% 202.92/202.78 [10098]~P83(x100982)+~E(f518(x100981,x100983,x100985,x100986,x100984,x100982),f512(x100981,x100983,x100985,x100986,x100984,x100982))+~P1(f318(f55(x100984),x100986))+E(f318(f318(f8(x100981,x100982),x100983),f318(f301(x100984,x100981,x100985),x100986)),f318(f318(f8(x100984,x100982),f318(f66(x100981,x100982,x100984,x100983),x100985)),x100986))
% 202.92/202.78 [10126]~P83(x101266)+E(f318(x101261,f518(x101262,x101263,x101261,x101264,x101265,x101266)),f318(x101261,f512(x101262,x101263,x101261,x101264,x101265,x101266)))+E(f318(f318(f8(x101262,x101266),x101263),f318(f301(x101265,x101262,x101261),x101264)),f318(f318(f8(x101265,x101266),f318(f66(x101262,x101266,x101265,x101263),x101261)),x101264))+~P1(f318(f55(x101265),x101264))
% 202.92/202.78 [10176]~P83(x101762)+~E(f318(x101763,f318(x101765,f512(x101761,x101763,x101765,x101766,x101764,x101762))),f2(x101762))+~P1(f318(f55(x101764),x101766))+E(f318(f318(f8(x101761,x101762),x101763),f318(f301(x101764,x101761,x101765),x101766)),f318(f318(f8(x101764,x101762),f318(f66(x101761,x101762,x101764,x101763),x101765)),x101766))
% 202.92/202.78 [10234]~P83(x102342)+~P1(f318(f55(x102344),x102346))+E(f318(f318(f8(x102341,x102342),x102343),f318(f301(x102344,x102341,x102345),x102346)),f318(f318(f8(x102344,x102342),f318(f66(x102341,x102342,x102344,x102343),x102345)),x102346))+P1(f318(f318(f320(x102344),f512(x102341,x102343,x102345,x102346,x102344,x102342)),x102346))
% 202.92/202.78 [10235]~P83(x102352)+~P1(f318(f55(x102354),x102356))+E(f318(f318(f8(x102351,x102352),x102353),f318(f301(x102354,x102351,x102355),x102356)),f318(f318(f8(x102354,x102352),f318(f66(x102351,x102352,x102354,x102353),x102355)),x102356))+P1(f318(f318(f320(x102354),f518(x102351,x102353,x102355,x102356,x102354,x102352)),x102356))
% 202.92/202.78 [10315]~P42(f927(f926(x103154,x103155),a918),f927(f926(x103154,x103155),a918),x103156)+~P1(f318(f318(x103151,f613(x103151,x103156,x103153,x103152,x103155,x103154)),f614(x103151,x103156,x103153,x103152,x103155,x103154)))+P1(f318(f318(x103151,x103152),x103153))+~P1(f318(f318(f320(f926(x103154,x103155)),f318(f318(f243(x103154,x103155),x103152),x103153)),f86(f927(f926(x103154,x103155),a918),x103156)))
% 202.92/202.78 [10360]~P84(x103601)+~P1(f318(f55(x103602),x103606))+E(f318(f318(f318(f59(x103601,x103602,f74(x103601)),f318(f318(f20(x103602,f927(x103603,a918),x103601),f318(f318(f9(x103602,x103601,f927(f927(x103603,a918),x103601)),f318(f318(f10(f927(x103603,x103601),f927(x103601,f927(f927(x103603,a918),x103601)),x103602),f59(x103601,x103603,f74(x103601))),x103604)),f71(x103601))),x103605)),f71(x103601)),x103606),f318(f318(f318(f59(x103601,f926(x103602,x103603),f74(x103601)),f318(f248(x103602,x103603,x103601),x103604)),f71(x103601)),f318(f318(f245(x103602,x103603),x103606),x103605)))+P1(f318(f318(f320(x103602),f557(x103604,x103605,x103603,x103606,x103602,x103601)),x103606))
% 202.92/202.78 [10382]~P84(x103821)+~P1(f318(f55(x103822),x103826))+E(f318(f318(f318(f59(x103821,x103822,f74(x103821)),f318(f318(f20(x103822,f927(x103823,a918),x103821),f318(f318(f9(x103822,x103821,f927(f927(x103823,a918),x103821)),f318(f318(f10(f927(x103823,x103821),f927(x103821,f927(f927(x103823,a918),x103821)),x103822),f59(x103821,x103823,f74(x103821))),x103824)),f71(x103821))),x103825)),f71(x103821)),x103826),f318(f318(f318(f59(x103821,f926(x103822,x103823),f74(x103821)),f318(f248(x103822,x103823,x103821),x103824)),f71(x103821)),f318(f318(f245(x103822,x103823),x103826),x103825)))+~P1(f318(f55(x103823),f318(x103825,f557(x103824,x103825,x103823,x103826,x103822,x103821))))
% 202.92/202.78 [8467]~P21(x84672,x84675,x84676,x84671)+~P1(f318(f55(x84672),x84674))+~P1(f318(f55(x84672),x84673))+E(f318(x84671,f318(f318(f101(f927(x84672,a918)),x84673),x84674)),f318(f66(x84675,x84675,x84675,f318(x84671,x84673)),f318(x84671,x84674)))
% 202.92/202.78 [8686]~P5(x86861)+P1(f318(f318(f225(x86861),f318(x86862,x86863)),x86864))+~P1(f318(f318(f320(x86865),x86863),x86866))+~P1(f318(f318(f225(x86861),f318(f318(f33(x86865,x86861),x86866),x86862)),x86864))
% 202.92/202.78 [9122]~P25(x91222,x91221,x91223,x91226)+E(f318(f318(f92(f927(x91221,a918)),f318(f301(x91222,x91221,x91223),x91224)),f318(f301(x91222,x91221,x91223),x91225)),f318(f301(x91222,x91221,x91223),f318(f318(f92(f927(x91222,a918)),x91224),x91225)))+~P1(f318(f318(f225(f927(x91222,a918)),x91225),x91226))+~P1(f318(f318(f225(f927(x91222,a918)),x91224),x91226))
% 202.92/202.78 [9123]~P25(x91232,x91231,x91233,x91236)+E(f318(f318(f3(f927(x91231,a918)),f318(f301(x91232,x91231,x91233),x91234)),f318(f301(x91232,x91231,x91233),x91235)),f318(f301(x91232,x91231,x91233),f318(f318(f3(f927(x91232,a918)),x91234),x91235)))+~P1(f318(f318(f225(f927(x91232,a918)),x91235),x91236))+~P1(f318(f318(f225(f927(x91232,a918)),x91234),x91236))
% 202.92/202.78 [9383]E(x93831,x93832)+~P58(x93833,x93834,x93835)+~P1(f318(f318(f320(f926(x93833,x93834)),f318(f318(f243(x93833,x93834),x93836),x93832)),x93835))+~P1(f318(f318(f320(f926(x93833,x93834)),f318(f318(f243(x93833,x93834),x93836),x93831)),x93835))
% 202.92/202.78 [10172]~P78(x101721)+~E(f318(x101723,f431(x101724,x101726,x101723,x101725,x101722,x101721)),f318(x101726,f431(x101724,x101726,x101723,x101725,x101722,x101721)))+~P1(f318(f55(x101722),x101725))+E(f318(f318(f318(f59(x101721,x101722,f74(x101721)),x101723),x101724),x101725),f318(f318(f318(f59(x101721,x101722,f74(x101721)),x101726),x101724),x101725))
% 202.92/202.78 [10232]~P78(x102321)+~P1(f318(f55(x102322),x102325))+E(f318(f318(f318(f59(x102321,x102322,f74(x102321)),x102323),x102324),x102325),f318(f318(f318(f59(x102321,x102322,f74(x102321)),x102326),x102324),x102325))+P1(f318(f318(f320(x102322),f431(x102324,x102323,x102326,x102325,x102322,x102321)),x102325))
% 202.92/202.78 [8916]~P78(x89161)+~P1(f318(f55(x89162),x89166))+P1(f318(f318(f320(x89162),x89165),x89166))+E(f318(f318(f318(f59(x89161,x89162,f74(x89161)),x89163),x89164),f318(f318(f300(x89162),x89165),x89166)),f318(f318(f74(x89161),f318(x89163,x89165)),f318(f318(f318(f59(x89161,x89162,f74(x89161)),x89163),x89164),x89166)))
% 202.92/202.78 [8970]~P8(x89701,x89706,x89703)+~P11(x89701,f927(x89702,a918),x89703,x89705)+~P1(f318(f318(f320(x89701),x89704),x89706))+E(f318(f318(f33(x89701,f927(x89702,a918)),f318(f276(x89701,x89701,x89703),f318(f318(f300(x89701),x89704),f179(f927(x89701,a918))))),x89705),f318(x89705,x89704))
% 202.92/202.78 [9099]~P17(x90993,x90994,x90991)+~P1(f318(f55(x90993),x90996))+~P1(f318(f318(f320(x90993),x90992),x90996))+E(f318(f318(x90991,x90992),f318(f318(f58(x90993,x90994,x90991),x90995),f318(f318(f3(f927(x90993,a918)),x90996),f318(f318(f300(x90993),x90992),f179(f927(x90993,a918)))))),f318(f318(f58(x90993,x90994,x90991),x90995),x90996))
% 202.92/202.78 [9394]~P20(x93943,x93941,x93946,x93942)+~P1(f318(f55(x93943),x93945))+~P1(f318(f55(x93943),x93944))+E(f318(f66(x93941,x93941,x93941,f318(x93942,f318(f318(f101(f927(x93943,a918)),x93944),x93945))),f318(x93942,f318(f318(f92(f927(x93943,a918)),x93944),x93945))),f318(f66(x93941,x93941,x93941,f318(x93942,x93944)),f318(x93942,x93945)))
% 202.92/202.78 [10392]~P42(f927(f926(x103924,x103925),a918),f927(f926(x103924,x103925),a918),x103926)+P1(f318(f318(x103921,x103922),x103923))+~P1(f318(f318(f320(f926(x103924,x103925)),f318(f318(f243(x103924,x103925),x103922),x103923)),f86(f927(f926(x103924,x103925),a918),x103926)))+P1(f318(f318(f320(f926(x103924,x103925)),f318(f318(f243(x103924,x103925),f613(x103921,x103926,x103923,x103922,x103925,x103924)),f614(x103921,x103926,x103923,x103922,x103925,x103924))),f318(x103926,f318(f318(f92(f927(f926(x103924,x103925),a918)),f86(f927(f926(x103924,x103925),a918),x103926)),f318(f253(f926(x103924,x103925)),f318(f248(x103924,x103925,a918),x103921))))))
% 202.92/202.78 [9740]~E(x97403,f318(f318(f150(x97401,x97402),x97405),x97406))+P1(f318(f318(f320(f926(f921(x97401),f921(x97401))),f318(f318(f243(f921(x97401),f921(x97401)),x97402),x97403)),f148(x97401,x97404)))+~P1(f318(f318(f226(a920),x97405),f318(f180(f921(x97401)),x97402)))+~P1(f318(f318(f320(f926(x97401,x97401)),f318(f318(f243(x97401,x97401),f318(f318(f155(x97401),x97402),x97405)),x97406)),x97404))
% 202.92/202.78 [10248]~P84(x102482)+~P1(f318(f55(x102481),x102486))+P1(f318(f318(f320(x102481),f562(x102484,x102485,x102483,x102486,x102481,x102482)),x102486))+E(f318(f318(f11(x102481,x102482),f318(f318(f20(x102481,f927(x102483,a918),x102482),f318(f318(f10(f927(x102483,x102482),f927(f927(x102483,a918),x102482),x102481),f11(x102483,x102482)),x102484)),x102485)),x102486),f318(f318(f11(f926(x102481,x102483),x102482),f318(f248(x102481,x102483,x102482),x102484)),f318(f318(f245(x102481,x102483),x102486),x102485)))
% 202.92/202.78 [10249]~P83(x102492)+~P1(f318(f55(x102491),x102496))+P1(f318(f318(f320(x102491),f563(x102494,x102495,x102493,x102496,x102491,x102492)),x102496))+E(f318(f318(f8(x102491,x102492),f318(f318(f20(x102491,f927(x102493,a918),x102492),f318(f318(f10(f927(x102493,x102492),f927(f927(x102493,a918),x102492),x102491),f8(x102493,x102492)),x102494)),x102495)),x102496),f318(f318(f8(f926(x102491,x102493),x102492),f318(f248(x102491,x102493,x102492),x102494)),f318(f318(f245(x102491,x102493),x102496),x102495)))
% 202.92/202.78 [10288]~P84(x102882)+~P1(f318(f55(x102881),x102886))+~P1(f318(f55(x102883),f318(x102885,f562(x102884,x102885,x102883,x102886,x102881,x102882))))+E(f318(f318(f11(x102881,x102882),f318(f318(f20(x102881,f927(x102883,a918),x102882),f318(f318(f10(f927(x102883,x102882),f927(f927(x102883,a918),x102882),x102881),f11(x102883,x102882)),x102884)),x102885)),x102886),f318(f318(f11(f926(x102881,x102883),x102882),f318(f248(x102881,x102883,x102882),x102884)),f318(f318(f245(x102881,x102883),x102886),x102885)))
% 202.92/202.78 [10289]~P83(x102892)+~P1(f318(f55(x102891),x102896))+~P1(f318(f55(x102893),f318(x102895,f563(x102894,x102895,x102893,x102896,x102891,x102892))))+E(f318(f318(f8(x102891,x102892),f318(f318(f20(x102891,f927(x102893,a918),x102892),f318(f318(f10(f927(x102893,x102892),f927(f927(x102893,a918),x102892),x102891),f8(x102893,x102892)),x102894)),x102895)),x102896),f318(f318(f8(f926(x102891,x102893),x102892),f318(f248(x102891,x102893,x102892),x102894)),f318(f318(f245(x102891,x102893),x102896),x102895)))
% 202.92/202.78 [10271]~P84(x102712)+~P1(f318(f55(x102711),x102716))+P1(f318(f318(f320(x102711),x102713),x102716))+E(f318(f318(f11(x102711,x102712),f318(f318(f9(x102711,x102712,x102712),f318(f318(f20(x102711,x102712,f927(x102712,x102712)),f318(f318(f10(a918,f927(x102712,f927(x102712,x102712)),x102711),f85(x102712)),f318(f318(f9(x102711,x102711,a918),a315),x102713))),x102714)),x102715)),x102716),f318(f318(f235(x102712),x102715),f318(f29(x102711),x102716)))
% 202.92/202.78 [10274]~P84(x102742)+~P1(f318(f55(x102741),x102746))+~P1(f318(f318(f320(x102741),x102743),x102746))+E(f318(f318(f11(x102741,x102742),f318(f318(f9(x102741,x102742,x102742),f318(f318(f20(x102741,x102742,f927(x102742,x102742)),f318(f318(f10(a918,f927(x102742,f927(x102742,x102742)),x102741),f85(x102742)),f318(f318(f9(x102741,x102741,a918),a315),x102743))),x102744)),x102745)),x102746),f318(f318(f74(x102742),f318(x102744,x102743)),f318(f318(f235(x102742),x102745),f318(f318(f3(a920),f318(f29(x102741),x102746)),f71(a920)))))
% 202.92/202.78 [10351]~P1(f318(f55(x103511),x103515))+~P1(f318(f55(x103512),x103513))+P1(f318(f318(f320(x103512),f564(x103516,x103514,x103513,x103512,x103515,x103511)),x103513))+E(f318(f318(f8(x103511,a920),f318(f318(f10(f927(x103512,a918),a920,x103511),f29(x103512)),f318(f318(f10(f927(x103512,a918),f927(x103512,a918),x103511),f253(x103512)),f318(f318(f10(f927(x103512,a918),f927(x103512,a918),x103511),f318(f20(x103512,a918,a918),f318(f318(f10(a918,f927(a918,a918),x103512),a316),f318(f318(f9(x103512,f927(x103512,a918),a918),f320(x103512)),x103513)))),x103514)))),x103515),f318(f318(f74(a920),x103516),f318(f29(x103512),x103513)))
% 202.92/202.78 [10352]~P1(f318(f55(x103521),x103525))+~P1(f318(f55(x103522),x103523))+P1(f318(f318(f320(x103522),f567(x103526,x103524,x103523,x103522,x103525,x103521)),x103523))+E(f318(f318(f8(x103521,a920),f318(f318(f10(f927(x103522,a918),a920,x103521),f29(x103522)),f318(f318(f10(f927(x103522,a918),f927(x103522,a918),x103521),f253(x103522)),f318(f318(f10(f927(x103522,a918),f927(x103522,a918),x103521),f318(f20(x103522,a918,a918),f318(f318(f10(a918,f927(a918,a918),x103522),a316),f318(f318(f9(x103522,f927(x103522,a918),a918),f320(x103522)),x103523)))),x103524)))),x103525),f318(f318(f8(x103522,a920),x103526),x103523))
% 202.92/202.78 [10396]~P1(f318(f55(x103962),x103963))+~P1(f318(f55(x103961),x103965))+~E(f318(f29(x103961),f318(f253(x103961),f318(f318(f20(x103961,a918,a918),f318(f318(f10(a918,f927(a918,a918),x103961),a316),f318(f318(f9(x103961,f927(x103961,a918),a918),f320(x103961)),x103965))),f318(f318(f9(x103961,x103962,a918),x103964),f564(x103966,x103964,x103963,x103962,x103965,x103961))))),x103966)+E(f318(f318(f8(x103961,a920),f318(f318(f10(f927(x103962,a918),a920,x103961),f29(x103962)),f318(f318(f10(f927(x103962,a918),f927(x103962,a918),x103961),f253(x103962)),f318(f318(f10(f927(x103962,a918),f927(x103962,a918),x103961),f318(f20(x103962,a918,a918),f318(f318(f10(a918,f927(a918,a918),x103962),a316),f318(f318(f9(x103962,f927(x103962,a918),a918),f320(x103962)),x103963)))),x103964)))),x103965),f318(f318(f74(a920),x103966),f318(f29(x103962),x103963)))
% 202.92/202.78 [10398]~P1(f318(f55(x103982),x103983))+~P1(f318(f55(x103981),x103985))+~E(f318(f29(x103981),f318(f253(x103981),f318(f318(f20(x103981,a918,a918),f318(f318(f10(a918,f927(a918,a918),x103981),a316),f318(f318(f9(x103981,f927(x103981,a918),a918),f320(x103981)),x103985))),f318(f318(f9(x103981,x103982,a918),x103984),f567(x103986,x103984,x103983,x103982,x103985,x103981))))),f318(x103986,f567(x103986,x103984,x103983,x103982,x103985,x103981)))+E(f318(f318(f8(x103981,a920),f318(f318(f10(f927(x103982,a918),a920,x103981),f29(x103982)),f318(f318(f10(f927(x103982,a918),f927(x103982,a918),x103981),f253(x103982)),f318(f318(f10(f927(x103982,a918),f927(x103982,a918),x103981),f318(f20(x103982,a918,a918),f318(f318(f10(a918,f927(a918,a918),x103982),a316),f318(f318(f9(x103982,f927(x103982,a918),a918),f320(x103982)),x103983)))),x103984)))),x103985),f318(f318(f8(x103982,a920),x103986),x103983))
% 202.92/202.78 [10024]E(x100241,x100242)+~P17(x100243,x100244,x100245)+~P1(f318(f60(x100243,x100244,x100245,x100246,x100247),x100242))+~P1(f318(f60(x100243,x100244,x100245,x100246,x100247),x100241))
% 202.92/202.78 [9817]P1(f318(x98171,x98172))+~P1(f318(f318(f320(x98177),x98172),f318(x98176,x98174)))+~P1(f318(x98171,f360(x98171,x98176,x98175,x98173,x98177)))+~P1(f318(f318(f320(x98173),x98174),x98175))
% 202.92/202.78 [10262]~P17(x102627,x102626,x102621)+E(f318(f318(x102621,x102622),f443(x102622,x102623,x102624,x102625,x102621,x102626,x102627)),x102623)+~P1(f318(f60(x102627,x102626,x102621,x102625,x102624),x102623))+~P1(f318(f318(f320(x102627),x102622),x102624))
% 202.92/202.78 [10329]~P17(x103291,x103292,x103293)+~P1(f318(f60(x103291,x103292,x103293,x103294,x103295),x103297))+P1(f318(f60(x103291,x103292,x103293,x103294,f318(f318(f3(f927(x103291,a918)),x103295),f318(f318(f300(x103291),x103296),f179(f927(x103291,a918))))),f443(x103296,x103297,x103295,x103294,x103293,x103292,x103291)))+~P1(f318(f318(f320(x103291),x103296),x103295))
% 202.92/202.78 [9465]P26(x94651,x94652,x94653,x94654,x94655)+~P26(x94651,x94652,x94653,x94656,x94657)+~E(f318(f301(x94651,x94652,x94653),x94654),x94655)+~P1(f318(f318(f225(f927(x94651,a918)),x94654),x94656))
% 202.92/202.78 [9708]~P26(x97081,x97082,x97083,x97085,x97087)+~P26(x97081,x97082,x97083,x97084,x97086)+P26(x97081,x97082,x97083,f318(f318(f101(f927(x97081,a918)),x97084),x97085),f318(f318(f101(f927(x97082,a918)),x97086),x97087))+~E(f318(f318(f92(f927(x97082,a918)),x97086),x97087),f179(f927(x97082,a918)))
% 202.92/202.78 [9713]~P78(x97131)+~P25(x97135,x97132,x97136,x97137)+~P1(f318(f55(x97135),x97137))+E(f318(f318(f318(f59(x97131,x97132,f74(x97131)),x97133),x97134),f318(f301(x97135,x97132,x97136),x97137)),f318(f318(f318(f59(x97131,x97135,f74(x97131)),f318(f66(x97132,x97131,x97135,x97133),x97136)),x97134),x97137))
% 202.92/202.78 [9840]~E(f318(f318(f300(x98401),x98405),x98406),f318(f318(f300(x98401),x98402),x98403))+~P1(f318(f60(x98401,x98401,x98404,x98402,x98403),x98407))+P1(f318(f318(f320(x98401),x98402),x98403))+P1(f318(f56(x98401,x98404,f318(f318(f300(x98401),x98405),x98406)),x98407))
% 202.92/202.78 [9926]P1(f318(x99261,x99262))+~P1(f318(f318(f320(x99263),x99262),f318(x99264,x99267)))+~P1(f318(f318(f320(x99266),x99267),x99265))+P1(f318(f318(f320(x99263),f360(x99261,x99264,x99265,x99266,x99263)),f318(f318(f33(x99266,f927(x99263,a918)),x99265),x99264)))
% 202.92/202.78 [9943]~P25(x99432,x99431,x99435,x99434)+~P25(x99431,x99433,x99436,f318(f301(x99432,x99431,x99435),x99434))+E(f318(f318(f66(x99431,x99432,x99433,f70(x99432,x99431,x99434,x99435)),f70(x99431,x99433,f318(f301(x99432,x99431,x99435),x99434),x99436)),x99437),f318(f70(x99432,x99433,x99434,f318(f66(x99431,x99433,x99432,x99436),x99435)),x99437))+~P1(f318(f318(f320(x99433),x99437),f318(f301(x99431,x99433,x99436),f318(f301(x99432,x99431,x99435),x99434))))
% 202.92/202.78 [9944]~P25(x99442,x99441,x99445,x99444)+~P25(x99441,x99443,x99446,f318(f301(x99442,x99441,x99445),x99444))+E(f318(f318(f66(x99441,x99442,x99443,f84(x99442,x99441,x99444,x99445)),f84(x99441,x99443,f318(f301(x99442,x99441,x99445),x99444),x99446)),x99447),f318(f84(x99442,x99443,x99444,f318(f66(x99441,x99443,x99442,x99446),x99445)),x99447))+~P1(f318(f318(f320(x99443),x99447),f318(f301(x99441,x99443,x99446),f318(f301(x99442,x99441,x99445),x99444))))
% 202.92/202.78 [10263]~P17(x102637,x102636,x102631)+E(f318(f318(x102631,x102632),f444(x102633,x102634,x102632,x102635,x102631,x102636,x102637)),x102633)+P1(f318(f318(f320(x102637),x102632),x102634))+~P1(f318(f60(x102637,x102636,x102631,x102635,f318(f318(f300(x102637),x102632),x102634)),x102633))
% 202.92/202.78 [10328]~P17(x103281,x103284,x103285)+P1(f318(f60(x103281,x103284,x103285,x103286,x103283),f444(x103287,x103283,x103282,x103286,x103285,x103284,x103281)))+P1(f318(f318(f320(x103281),x103282),x103283))+~P1(f318(f60(x103281,x103284,x103285,x103286,f318(f318(f300(x103281),x103282),x103283)),x103287))
% 202.92/202.78 [10006]E(x100061,f2(a1))+~P1(f318(f43(x100063,x100061),f318(f318(f243(a1,a1),x100065),x100067)))+~P1(f318(f43(x100062,x100061),f318(f318(f243(a1,a1),x100064),x100066)))+P1(f318(f43(f318(f318(f73(a1),x100062),x100063),x100061),f318(f318(f243(a1,a1),f318(f318(f73(a1),f318(f318(f73(a1),x100064),x100065)),f318(f318(f30(a1),f318(f318(f73(a1),x100066),x100067)),x100061))),f39(a1,f318(f318(f73(a1),x100066),x100067),x100061))))
% 202.92/202.78 [10008]~P1(f318(f318(f226(a920),f2(a920)),x100083))+~P1(f318(f42(x100082,x100083),f318(f318(f243(a920,a920),x100085),x100087)))+~P1(f318(f42(x100081,x100083),f318(f318(f243(a920,a920),x100084),x100086)))+P1(f318(f42(f318(f318(f73(a920),x100081),x100082),x100083),f318(f318(f243(a920,a920),f318(f318(f73(a920),f318(f318(f73(a920),x100084),x100085)),f318(f318(f30(a920),f318(f318(f73(a920),x100086),x100087)),x100083))),f39(a920,f318(f318(f73(a920),x100086),x100087),x100083))))
% 202.92/202.78 [10395]~P83(x103952)+~P1(f318(f55(x103953),x103955))+~P1(f318(f55(x103951),x103957))+E(f318(f318(f8(x103951,x103952),f318(f318(f20(x103951,f927(x103953,a918),x103952),f318(f318(f10(f927(x103953,x103952),f927(f927(x103953,a918),x103952),x103951),f8(x103953,x103952)),x103954)),f318(f318(f10(f927(x103953,a918),f927(x103953,a918),x103951),f253(x103953)),f318(f318(f10(f927(x103953,a918),f927(x103953,a918),x103951),f318(f20(x103953,a918,a918),f318(f318(f10(a918,f927(a918,a918),x103953),a316),f318(f318(f9(x103953,f927(x103953,a918),a918),f320(x103953)),x103955)))),x103956)))),x103957),f318(f318(f8(x103953,x103952),f318(f318(f20(x103953,f927(x103951,a918),x103952),f318(f318(f10(f927(x103951,x103952),f927(f927(x103951,a918),x103952),x103953),f8(x103951,x103952)),f318(f9(x103951,x103953,x103952),x103954))),f318(f318(f10(f927(x103951,a918),f927(x103951,a918),x103953),f253(x103951)),f318(f318(f10(f927(x103951,a918),f927(x103951,a918),x103953),f318(f20(x103951,a918,a918),f318(f318(f10(a918,f927(a918,a918),x103951),a316),f318(f318(f9(x103951,f927(x103951,a918),a918),f320(x103951)),x103957)))),f318(f9(x103951,x103953,a918),x103956))))),x103955))
% 202.92/202.78 [10349]~P22(x103498,x103497,x103496,x103495,x103491)+~E(f318(x103492,f860(x103494,x103492,x103493,x103491,x103495,x103496,x103497)),f318(x103494,f860(x103494,x103492,x103493,x103491,x103495,x103496,x103497)))+E(f318(f318(x103491,x103492),x103493),f318(f318(x103491,x103494),x103493))+~P1(f318(f55(x103497),x103493))
% 202.92/202.78 [9876]~P23(x98767,x98766,x98761,x98768,x98762,x98764)+E(f318(f318(x98761,f318(x98762,x98763)),f318(x98764,x98765)),f318(x98764,x98765))+~P1(f318(f55(x98766),x98765))+~P1(f318(f318(f320(x98766),x98763),x98765))
% 202.92/202.78 [9880]~P12(x98806,x98801,x98802,x98808,x98803,x98804)+~P8(x98806,x98807,x98808)+P11(x98801,x98802,x98803,f318(x98804,x98805))+~P1(f318(f318(f320(x98806),x98805),x98807))
% 202.92/202.78 [10367]~P22(x103678,x103675,x103677,x103676,x103671)+E(f318(f318(x103671,x103672),x103673),f318(f318(x103671,x103674),x103673))+~P1(f318(f55(x103675),x103673))+P1(f318(f318(f320(x103675),f860(x103672,x103674,x103673,x103671,x103676,x103677,x103675)),x103673))
% 202.92/202.78 [10447]~P1(f318(f318(x104471,x104476),x104475))+P1(f318(f318(x104471,f851(x104471,x104474,x104475,x104476,x104473,x104472,x104477,x104478)),f855(x104471,x104474,x104475,x104476,x104473,x104472,x104477,x104478)))+P1(f318(f318(x104471,x104472),x104473))+~P1(f318(f318(f320(f926(f926(x104478,x104477),f926(x104478,x104477))),f318(f318(f243(f926(x104478,x104477),f926(x104478,x104477)),f318(f318(f243(x104478,x104477),x104472),x104473)),f318(f318(f243(x104478,x104477),x104476),x104475))),f298(f926(x104478,x104477),x104474)))
% 202.92/202.78 [10448]~P1(f318(f318(x104481,x104486),x104485))+P1(f318(f318(x104481,f845(x104481,x104484,x104483,x104482,x104485,x104486,x104487,x104488)),f846(x104481,x104484,x104483,x104482,x104485,x104486,x104487,x104488)))+P1(f318(f318(x104481,x104482),x104483))+~P1(f318(f318(f320(f926(f926(x104488,x104487),f926(x104488,x104487))),f318(f318(f243(f926(x104488,x104487),f926(x104488,x104487)),f318(f318(f243(x104488,x104487),x104486),x104485)),f318(f318(f243(x104488,x104487),x104482),x104483))),f298(f926(x104488,x104487),x104484)))
% 202.92/202.78 [10459]~P1(f318(f318(x104591,f852(x104591,x104596,x104595,x104594,x104593,x104592,x104597,x104598)),f854(x104591,x104596,x104595,x104594,x104593,x104592,x104597,x104598)))+P1(f318(f318(x104591,x104592),x104593))+~P1(f318(f318(x104591,x104594),x104595))+~P1(f318(f318(f320(f926(f926(x104598,x104597),f926(x104598,x104597))),f318(f318(f243(f926(x104598,x104597),f926(x104598,x104597)),f318(f318(f243(x104598,x104597),x104592),x104593)),f318(f318(f243(x104598,x104597),x104594),x104595))),f298(f926(x104598,x104597),x104596)))
% 202.92/202.78 [10460]~P1(f318(f318(x104601,f847(x104601,x104606,x104603,x104602,x104605,x104604,x104607,x104608)),f853(x104601,x104606,x104603,x104602,x104605,x104604,x104607,x104608)))+P1(f318(f318(x104601,x104602),x104603))+~P1(f318(f318(x104601,x104604),x104605))+~P1(f318(f318(f320(f926(f926(x104608,x104607),f926(x104608,x104607))),f318(f318(f243(f926(x104608,x104607),f926(x104608,x104607)),f318(f318(f243(x104608,x104607),x104604),x104605)),f318(f318(f243(x104608,x104607),x104602),x104603))),f298(f926(x104608,x104607),x104606)))
% 202.92/202.78 [10473]~P1(f318(f318(x104731,x104736),x104737))+P1(f318(f318(x104731,x104732),x104733))+P1(f318(f318(f320(f926(f926(x104734,x104735),f926(x104734,x104735))),f318(f318(f243(f926(x104734,x104735),f926(x104734,x104735)),f318(f318(f243(x104734,x104735),x104736),x104737)),f318(f318(f243(x104734,x104735),f845(x104731,x104738,x104733,x104732,x104737,x104736,x104735,x104734)),f846(x104731,x104738,x104733,x104732,x104737,x104736,x104735,x104734)))),f298(f926(x104734,x104735),x104738)))+~P1(f318(f318(f320(f926(f926(x104734,x104735),f926(x104734,x104735))),f318(f318(f243(f926(x104734,x104735),f926(x104734,x104735)),f318(f318(f243(x104734,x104735),x104736),x104737)),f318(f318(f243(x104734,x104735),x104732),x104733))),f298(f926(x104734,x104735),x104738)))
% 202.92/202.78 [10475]~P1(f318(f318(x104751,x104758),x104757))+P1(f318(f318(x104751,x104752),x104753))+P1(f318(f318(f320(f926(f926(x104754,x104755),f926(x104754,x104755))),f318(f318(f243(f926(x104754,x104755),f926(x104754,x104755)),f318(f318(f243(x104754,x104755),f851(x104751,x104756,x104757,x104758,x104753,x104752,x104755,x104754)),f855(x104751,x104756,x104757,x104758,x104753,x104752,x104755,x104754))),f318(f318(f243(x104754,x104755),x104758),x104757))),f298(f926(x104754,x104755),x104756)))+~P1(f318(f318(f320(f926(f926(x104754,x104755),f926(x104754,x104755))),f318(f318(f243(f926(x104754,x104755),f926(x104754,x104755)),f318(f318(f243(x104754,x104755),x104752),x104753)),f318(f318(f243(x104754,x104755),x104758),x104757))),f298(f926(x104754,x104755),x104756)))
% 202.92/202.78 [9491]~P20(x94917,x94911,x94918,x94913)+~P1(f318(f55(x94917),x94915))+~P1(f318(f55(x94917),x94914))+E(f318(f66(x94911,x94911,x94912,f318(x94913,x94914)),f318(f66(x94911,x94911,x94912,f318(x94913,x94915)),x94916)),f318(f66(x94911,x94911,x94912,f318(x94913,x94915)),f318(f66(x94911,x94911,x94912,f318(x94913,x94914)),x94916)))
% 202.92/202.78 [9500]~P36(x95001,x95002,x95003,x95004,x95007)+P36(x95001,x95002,x95003,f318(f318(f150(x95001,x95004),x95005),x95006),f318(f318(f150(x95002,x95007),x95005),x95008))+~P1(f318(f318(x95003,x95006),x95008))+~P1(f318(f318(f226(a920),x95005),f318(f180(f921(x95001)),x95004)))
% 202.92/202.78 [9501]~P36(x95011,x95012,x95013,x95014,x95017)+P36(x95011,x95012,x95013,f318(f318(f150(x95011,x95014),x95015),x95016),f318(f318(f150(x95012,x95017),x95015),x95018))+~P1(f318(f318(x95013,x95016),x95018))+~P1(f318(f318(f226(a920),x95015),f318(f180(f921(x95012)),x95017)))
% 202.92/202.78 [9581]~P25(x95812,x95812,x95815,x95816)+~P22(x95813,x95812,x95817,x95818,x95811)+~P1(f318(f55(x95812),x95816))+E(f318(f318(x95811,f318(f66(x95812,x95813,x95812,x95814),x95815)),x95816),f318(f318(x95811,x95814),f318(f301(x95812,x95812,x95815),x95816)))
% 202.92/202.78 [9841]P26(x98411,x98412,x98413,x98414,x98415)+~P26(x98412,x98416,x98417,x98415,x98418)+~P26(x98411,x98416,f318(f66(x98412,x98416,x98411,x98417),x98413),x98414,x98418)+~P1(f318(f318(f225(f927(x98412,a918)),f318(f301(x98411,x98412,x98413),x98414)),x98415))
% 202.92/202.78 [9878]~P24(x98787,x98782,x98785,x98788,x98786,x98781)+~P1(f318(f55(x98782),x98784))+E(f318(x98781,f318(f318(f300(x98782),x98783),x98784)),f318(f318(x98785,f318(x98786,x98783)),f318(x98781,x98784)))+P1(f318(f318(f320(x98782),x98783),x98784))
% 202.92/202.78 [9890]~P23(x98906,x98905,x98901,x98907,x98908,x98902)+E(f318(f318(x98901,f318(x98902,x98903)),f318(x98902,x98904)),f318(x98902,x98904))+~P1(f318(f55(x98905),x98904))+~P1(f318(f318(f225(f927(x98905,a918)),x98903),x98904))
% 202.92/202.78 [9477]P1(f318(f318(f320(f926(f921(x94771),f921(x94771))),f318(f318(f243(f921(x94771),f921(x94771)),x94772),x94773)),f148(x94771,x94774)))+~E(x94773,f318(f318(f125(x94771),x94775),f318(f318(f142(x94771),x94776),x94777)))+~E(x94772,f318(f318(f125(x94771),x94775),f318(f318(f142(x94771),x94778),x94777)))+~P1(f318(f318(f320(f926(x94771,x94771)),f318(f318(f243(x94771,x94771),x94778),x94776)),x94774))
% 202.92/202.78 [9883]~P23(x98836,x98832,x98835,x98837,x98838,x98831)+~P1(f318(f55(x98832),x98834))+~P1(f318(f55(x98832),x98833))+E(f318(x98831,f318(f318(f101(f927(x98832,a918)),x98833),x98834)),f318(f318(x98835,f318(x98831,x98833)),f318(x98831,x98834)))
% 202.92/202.78 [10437]~P25(x104374,x104372,x104375,x104378)+E(f318(f318(f34(x104371,f927(x104372,a918)),x104373),f318(f318(f10(f927(x104374,a918),f927(x104372,a918),x104371),f301(x104374,x104372,x104375)),x104376)),f318(f301(x104374,x104372,x104375),f318(f318(f34(x104371,f927(x104374,a918)),x104373),x104376)))+~P1(f318(f318(f320(x104371),x104377),x104373))+P1(f318(f318(f320(x104371),f520(x104377,x104376,x104373,x104371,x104378,x104375,x104372,x104374)),x104373))
% 202.92/202.78 [10464]~P25(x104644,x104642,x104645,x104647)+E(f318(f318(f34(x104641,f927(x104642,a918)),x104643),f318(f318(f10(f927(x104644,a918),f927(x104642,a918),x104641),f301(x104644,x104642,x104645)),x104646)),f318(f301(x104644,x104642,x104645),f318(f318(f34(x104641,f927(x104644,a918)),x104643),x104646)))+~P1(f318(f318(f320(x104641),x104648),x104643))+~P1(f318(f318(f225(f927(x104644,a918)),f318(x104646,f520(x104648,x104646,x104643,x104641,x104647,x104645,x104642,x104644))),x104647))
% 202.92/202.78 [10476]~P1(f318(f318(x104761,x104768),x104767))+P1(f318(f318(x104761,x104762),x104763))+~P1(f318(f318(f320(f926(f926(x104764,x104765),f926(x104764,x104765))),f318(f318(f243(f926(x104764,x104765),f926(x104764,x104765)),f318(f318(f243(x104764,x104765),x104762),x104763)),f318(f318(f243(x104764,x104765),x104768),x104767))),f298(f926(x104764,x104765),x104766)))+P1(f318(f318(f320(f926(f926(x104764,x104765),f926(x104764,x104765))),f318(f318(f243(f926(x104764,x104765),f926(x104764,x104765)),f318(f318(f243(x104764,x104765),f852(x104761,x104766,x104767,x104768,x104763,x104762,x104765,x104764)),f854(x104761,x104766,x104767,x104768,x104763,x104762,x104765,x104764))),f318(f318(f243(x104764,x104765),f851(x104761,x104766,x104767,x104768,x104763,x104762,x104765,x104764)),f855(x104761,x104766,x104767,x104768,x104763,x104762,x104765,x104764)))),x104766))
% 202.92/202.78 [10477]~P1(f318(f318(x104771,x104778),x104777))+P1(f318(f318(x104771,x104772),x104773))+~P1(f318(f318(f320(f926(f926(x104774,x104775),f926(x104774,x104775))),f318(f318(f243(f926(x104774,x104775),f926(x104774,x104775)),f318(f318(f243(x104774,x104775),x104778),x104777)),f318(f318(f243(x104774,x104775),x104772),x104773))),f298(f926(x104774,x104775),x104776)))+P1(f318(f318(f320(f926(f926(x104774,x104775),f926(x104774,x104775))),f318(f318(f243(f926(x104774,x104775),f926(x104774,x104775)),f318(f318(f243(x104774,x104775),f845(x104771,x104776,x104773,x104772,x104777,x104778,x104775,x104774)),f846(x104771,x104776,x104773,x104772,x104777,x104778,x104775,x104774))),f318(f318(f243(x104774,x104775),f847(x104771,x104776,x104773,x104772,x104777,x104778,x104775,x104774)),f853(x104771,x104776,x104773,x104772,x104777,x104778,x104775,x104774)))),x104776))
% 202.92/202.78 [9953]~P24(x99537,x99535,x99531,x99538,x99532,x99534)+~P1(f318(f55(x99535),x99536))+~P1(f318(f318(f320(x99535),x99533),x99536))+E(f318(f318(x99531,f318(x99532,x99533)),f318(x99534,f318(f318(f3(f927(x99535,a918)),x99536),f318(f318(f300(x99535),x99533),f179(f927(x99535,a918)))))),f318(x99534,x99536))
% 202.92/202.78 [9961]~P24(x99616,x99613,x99611,x99617,x99618,x99612)+~P1(f318(f55(x99613),x99615))+~P1(f318(f55(x99613),x99614))+E(f318(f318(x99611,f318(x99612,f318(f318(f101(f927(x99613,a918)),x99614),x99615))),f318(x99612,f318(f318(f92(f927(x99613,a918)),x99614),x99615))),f318(f318(x99611,f318(x99612,x99614)),f318(x99612,x99615)))
% 202.92/202.78 [10048]P45(x100481,x100482,x100483,x100484,x100485,f318(f318(x100483,x100486),x100487))+~P45(x100481,x100482,x100483,x100484,f318(f318(f3(f927(x100481,a918)),x100485),f318(f318(f300(x100481),x100488),f179(f927(x100481,a918)))),x100489)+~E(f318(f318(x100483,x100486),x100487),f318(f318(x100483,x100488),x100489))+~P1(f318(f318(f320(x100481),x100488),x100485))
% 202.92/202.78 [9987]~P12(x99876,x99877,x99878,x99879,x998710,x99871)+E(f318(f318(x99871,x99872),x99873),f318(f318(x99871,x99874),x99875))+~P1(f318(f318(f320(f926(x99877,x99877)),f318(f318(f243(x99877,x99877),x99873),x99875)),x998710))+~P1(f318(f318(f320(f926(x99876,x99876)),f318(f318(f243(x99876,x99876),x99872),x99874)),x99879))
% 202.92/202.78 [9583]~P104(x95832)+E(x95831,f179(f927(x95832,a918)))+~P1(f318(f55(x95832),x95831))+P1(f318(f318(f320(x95832),f12(x95832,x95831)),x95831))+~P1(f318(f318(f320(x95832),f318(f318(f92(x95832),f391(x95831,x95832)),f392(x95831,x95832))),f318(f318(f300(x95832),f391(x95831,x95832)),f318(f318(f300(x95832),f392(x95831,x95832)),f179(f927(x95832,a918))))))
% 202.92/202.78 [9584]~P104(x95842)+E(x95841,f179(f927(x95842,a918)))+~P1(f318(f55(x95842),x95841))+P1(f318(f318(f320(x95842),f15(x95842,x95841)),x95841))+~P1(f318(f318(f320(x95842),f318(f318(f101(x95842),f396(x95841,x95842)),f397(x95841,x95842))),f318(f318(f300(x95842),f396(x95841,x95842)),f318(f318(f300(x95842),f397(x95841,x95842)),f179(f927(x95842,a918))))))
% 202.92/202.78 [9618]~P78(x96182)+E(x96181,f179(f927(x96182,a918)))+~P1(f318(f55(x96182),x96181))+P1(f318(f318(f320(x96182),f318(f57(x96182,f74(x96182)),x96181)),x96181))+~P1(f318(f318(f320(x96182),f318(f318(f74(x96182),f381(x96181,x96182)),f382(x96181,x96182))),f318(f318(f300(x96182),f381(x96181,x96182)),f318(f318(f300(x96182),f382(x96181,x96182)),f179(f927(x96182,a918))))))
% 202.92/202.78 [9623]~P4(x96232)+E(x96231,f179(f927(x96232,a918)))+~P1(f318(f55(x96232),x96231))+P1(f318(f318(f320(x96232),f13(x96232,f223(x96232),x96231)),x96231))+~P1(f318(f318(f320(x96232),f318(f318(f223(x96232),f454(x96231,x96232)),f455(x96231,x96232))),f318(f318(f300(x96232),f454(x96231,x96232)),f318(f318(f300(x96232),f455(x96231,x96232)),f179(f927(x96232,a918))))))
% 202.92/202.78 [9624]~P4(x96242)+E(x96241,f179(f927(x96242,a918)))+~P1(f318(f55(x96242),x96241))+P1(f318(f318(f320(x96242),f14(x96242,f224(x96242),x96241)),x96241))+~P1(f318(f318(f320(x96242),f318(f318(f224(x96242),f467(x96241,x96242)),f468(x96241,x96242))),f318(f318(f300(x96242),f467(x96241,x96242)),f318(f318(f300(x96242),f468(x96241,x96242)),f179(f927(x96242,a918))))))
% 202.92/202.78 [6706]~P95(x67062)+E(x67061,f2(x67062))+~E(f318(f318(f73(x67062),x67063),x67061),f2(x67062))+~P1(f318(f318(f225(x67062),f2(x67062)),x67063))+~P1(f318(f318(f225(x67062),f2(x67062)),x67061))
% 202.92/202.78 [6707]~P95(x67072)+E(x67071,f2(x67072))+~E(f318(f318(f73(x67072),x67071),x67073),f2(x67072))+~P1(f318(f318(f225(x67072),f2(x67072)),x67073))+~P1(f318(f318(f225(x67072),f2(x67072)),x67071))
% 202.92/202.78 [7252]~P4(x72522)+~P13(x72522,x72521)+E(x72521,f104(x72522))+~P1(f318(f318(f320(x72522),x72523),f318(f163(x72522),f711(x72521,x72522))))+P1(f318(f318(f225(x72522),f731(x72521,x72522)),x72523))
% 202.92/202.78 [7427]~P4(x74271)+E(f16(x74271,x74272),x74273)+~P1(f318(f55(x74271),x74272))+~P1(f318(f318(f225(x74271),x74273),f459(x74273,x74272,x74271)))+~P1(f318(f318(f320(x74271),x74273),x74272))
% 202.92/202.78 [7460]~P4(x74601)+~P13(x74601,x74602)+~P13(x74601,x74603)+P13(x74601,f318(f318(f125(x74601),x74602),x74603))+P1(f318(f318(f320(x74601),f718(x74603,x74602,x74601)),f318(f163(x74601),x74602)))
% 202.92/202.78 [7461]~P4(x74611)+~P13(x74611,x74612)+~P13(x74611,x74613)+P13(x74611,f318(f318(f125(x74611),x74612),x74613))+P1(f318(f318(f320(x74611),f719(x74613,x74612,x74611)),f318(f163(x74611),x74613)))
% 202.92/202.78 [7521]~P4(x75211)+E(f16(x75211,x75212),x75213)+~P1(f318(f55(x75211),x75212))+P1(f318(f318(f320(x75211),f459(x75213,x75212,x75211)),x75212))+~P1(f318(f318(f320(x75211),x75213),x75212))
% 202.92/202.78 [7522]~P4(x75221)+E(f17(x75221,x75222),x75223)+~P1(f318(f55(x75221),x75222))+P1(f318(f318(f320(x75221),f463(x75223,x75222,x75221)),x75222))+~P1(f318(f318(f320(x75221),x75223),x75222))
% 202.92/202.78 [8092]~P4(x80921)+E(f17(x80921,x80922),x80923)+~P1(f318(f55(x80921),x80922))+~P1(f318(f318(f320(x80921),x80923),x80922))+~P1(f318(f318(f225(x80921),f463(x80923,x80922,x80921)),x80923))
% 202.92/202.78 [8415]~P4(x84151)+~P13(x84151,x84152)+~P13(x84151,x84153)+P13(x84151,f318(f318(f125(x84151),x84152),x84153))+~P1(f318(f318(f225(x84151),f718(x84153,x84152,x84151)),f719(x84153,x84152,x84151)))
% 202.92/202.78 [9216]~P104(x92162)+E(x92161,f179(f927(x92162,a918)))+~E(f318(f318(f92(x92162),f318(x92163,f390(x92161,x92163,x92162))),f318(x92163,f393(x92161,x92163,x92162))),f318(x92163,f318(f318(f92(x92162),f390(x92161,x92163,x92162)),f393(x92161,x92163,x92162))))+E(f12(x92162,f318(f301(x92162,x92162,x92163),x92161)),f318(x92163,f12(x92162,x92161)))+~P1(f318(f55(x92162),x92161))
% 202.92/202.78 [9217]~P104(x92172)+E(x92171,f179(f927(x92172,a918)))+~E(f318(f318(f101(x92172),f318(x92173,f398(x92171,x92173,x92172))),f318(x92173,f399(x92171,x92173,x92172))),f318(x92173,f318(f318(f101(x92172),f398(x92171,x92173,x92172)),f399(x92171,x92173,x92172))))+E(f15(x92172,f318(f301(x92172,x92172,x92173),x92171)),f318(x92173,f15(x92172,x92171)))+~P1(f318(f55(x92172),x92171))
% 202.92/202.78 [9218]~P4(x92182)+E(x92181,f179(f927(x92182,a918)))+~E(f318(f318(f223(x92182),f318(x92183,f460(x92181,x92183,x92182))),f318(x92183,f461(x92181,x92183,x92182))),f318(x92183,f318(f318(f223(x92182),f460(x92181,x92183,x92182)),f461(x92181,x92183,x92182))))+E(f16(x92182,f318(f301(x92182,x92182,x92183),x92181)),f318(x92183,f16(x92182,x92181)))+~P1(f318(f55(x92182),x92181))
% 202.92/202.78 [9219]~P4(x92192)+E(x92191,f179(f927(x92192,a918)))+~E(f318(f318(f224(x92192),f318(x92193,f471(x92191,x92193,x92192))),f318(x92193,f473(x92191,x92193,x92192))),f318(x92193,f318(f318(f224(x92192),f471(x92191,x92193,x92192)),f473(x92191,x92193,x92192))))+E(f17(x92192,f318(f301(x92192,x92192,x92193),x92191)),f318(x92193,f17(x92192,x92191)))+~P1(f318(f55(x92192),x92191))
% 202.92/202.78 [9288]~P4(x92882)+E(x92881,f179(f927(x92882,a918)))+~E(f318(f318(f223(x92882),f318(x92883,f452(x92881,x92883,x92882))),f318(x92883,f457(x92881,x92883,x92882))),f318(x92883,f318(f318(f223(x92882),f452(x92881,x92883,x92882)),f457(x92881,x92883,x92882))))+E(f13(x92882,f223(x92882),f318(f301(x92882,x92882,x92883),x92881)),f318(x92883,f13(x92882,f223(x92882),x92881)))+~P1(f318(f55(x92882),x92881))
% 202.92/202.78 [9289]~P4(x92892)+E(x92891,f179(f927(x92892,a918)))+~E(f318(f318(f224(x92892),f318(x92893,f464(x92891,x92893,x92892))),f318(x92893,f472(x92891,x92893,x92892))),f318(x92893,f318(f318(f224(x92892),f464(x92891,x92893,x92892)),f472(x92891,x92893,x92892))))+E(f14(x92892,f224(x92892),f318(f301(x92892,x92892,x92893),x92891)),f318(x92893,f14(x92892,f224(x92892),x92891)))+~P1(f318(f55(x92892),x92891))
% 202.92/202.78 [6723]~P78(x67232)+E(x67231,f179(f927(x67232,a918)))+~P1(f318(f55(x67232),x67231))+E(f318(f57(x67232,f74(x67232)),f318(f318(f300(x67232),x67233),x67231)),f318(f318(f74(x67232),x67233),f318(f57(x67232,f74(x67232)),x67231)))+P1(f318(f318(f320(x67232),x67233),x67231))
% 202.92/202.78 [7259]~P104(x72592)+E(f318(f318(f92(x72592),f12(x72592,x72591)),f12(x72592,x72593)),f12(x72592,x72593))+E(x72591,f179(f927(x72592,a918)))+~P1(f318(f55(x72592),x72593))+~P1(f318(f318(f225(f927(x72592,a918)),x72591),x72593))
% 202.92/202.78 [7260]~P104(x72602)+E(f318(f318(f101(x72602),f15(x72602,x72601)),f15(x72602,x72603)),f15(x72602,x72603))+E(x72601,f179(f927(x72602,a918)))+~P1(f318(f55(x72602),x72603))+~P1(f318(f318(f225(f927(x72602,a918)),x72601),x72603))
% 202.92/202.78 [7261]~P4(x72612)+E(f318(f318(f223(x72612),f16(x72612,x72611)),f16(x72612,x72613)),f16(x72612,x72613))+E(x72611,f179(f927(x72612,a918)))+~P1(f318(f55(x72612),x72613))+~P1(f318(f318(f225(f927(x72612,a918)),x72611),x72613))
% 202.92/202.78 [7262]~P4(x72622)+E(f318(f318(f224(x72622),f17(x72622,x72621)),f17(x72622,x72623)),f17(x72622,x72623))+E(x72621,f179(f927(x72622,a918)))+~P1(f318(f55(x72622),x72623))+~P1(f318(f318(f225(f927(x72622,a918)),x72621),x72623))
% 202.92/202.78 [7570]~P4(x75702)+E(x75701,f179(f927(x75702,a918)))+~P1(f318(f55(x75702),x75703))+P1(f318(f318(f225(x75702),f16(x75702,x75703)),f16(x75702,x75701)))+~P1(f318(f318(f225(f927(x75702,a918)),x75701),x75703))
% 202.92/202.78 [7571]~P4(x75712)+E(x75711,f179(f927(x75712,a918)))+~P1(f318(f55(x75712),x75713))+P1(f318(f318(f225(x75712),f17(x75712,x75711)),f17(x75712,x75713)))+~P1(f318(f318(f225(f927(x75712,a918)),x75711),x75713))
% 202.92/202.78 [7623]~P104(x76231)+E(f12(x76231,x76232),x76233)+~P1(f318(f55(x76231),x76232))+~E(f318(f318(f3(f927(x76231,a918)),x76232),f318(f318(f300(x76231),x76233),f179(f927(x76231,a918)))),f179(f927(x76231,a918)))+~P1(f318(f318(f320(x76231),x76233),x76232))
% 202.92/202.78 [7624]~P104(x76241)+E(f15(x76241,x76242),x76243)+~P1(f318(f55(x76241),x76242))+~E(f318(f318(f3(f927(x76241,a918)),x76242),f318(f318(f300(x76241),x76243),f179(f927(x76241,a918)))),f179(f927(x76241,a918)))+~P1(f318(f318(f320(x76241),x76243),x76242))
% 202.92/202.78 [7625]~P4(x76251)+E(f16(x76251,x76252),x76253)+~P1(f318(f55(x76251),x76252))+~E(f318(f318(f3(f927(x76251,a918)),x76252),f318(f318(f300(x76251),x76253),f179(f927(x76251,a918)))),f179(f927(x76251,a918)))+~P1(f318(f318(f320(x76251),x76253),x76252))
% 202.92/202.78 [7626]~P4(x76261)+E(f17(x76261,x76262),x76263)+~P1(f318(f55(x76261),x76262))+~E(f318(f318(f3(f927(x76261,a918)),x76262),f318(f318(f300(x76261),x76263),f179(f927(x76261,a918)))),f179(f927(x76261,a918)))+~P1(f318(f318(f320(x76261),x76263),x76262))
% 202.92/202.78 [7720]~P4(x77201)+E(f13(x77201,f223(x77201),x77202),x77203)+~P1(f318(f55(x77201),x77202))+~E(f318(f318(f3(f927(x77201,a918)),x77202),f318(f318(f300(x77201),x77203),f179(f927(x77201,a918)))),f179(f927(x77201,a918)))+~P1(f318(f318(f320(x77201),x77203),x77202))
% 202.92/202.78 [7721]~P4(x77211)+E(f14(x77211,f224(x77211),x77212),x77213)+~P1(f318(f55(x77211),x77212))+~E(f318(f318(f3(f927(x77211,a918)),x77212),f318(f318(f300(x77211),x77213),f179(f927(x77211,a918)))),f179(f927(x77211,a918)))+~P1(f318(f318(f320(x77211),x77213),x77212))
% 202.92/202.78 [7756]~P103(x77562)+E(x77561,f179(f927(x77562,a918)))+~P1(f318(f55(x77562),x77561))+~P1(f318(f318(f225(x77562),x77563),f374(x77563,x77561,x77562)))+P1(f318(f318(f225(x77562),x77563),f318(f57(x77562,f92(x77562)),x77561)))
% 202.92/202.78 [7757]~P4(x77572)+E(x77571,f179(f927(x77572,a918)))+~P1(f318(f55(x77572),x77571))+~P1(f318(f318(f225(x77572),x77573),f447(x77573,x77571,x77572)))+P1(f318(f318(f225(x77572),x77573),f318(f57(x77572,f223(x77572)),x77571)))
% 202.92/202.78 [7758]~P4(x77582)+E(x77581,f179(f927(x77582,a918)))+~P1(f318(f55(x77582),x77581))+~P1(f318(f318(f226(x77582),x77583),f450(x77583,x77581,x77582)))+P1(f318(f318(f226(x77582),x77583),f318(f57(x77582,f223(x77582)),x77581)))
% 202.92/202.78 [7845]~P103(x78452)+E(x78451,f179(f927(x78452,a918)))+~P1(f318(f55(x78452),x78451))+P1(f318(f318(f320(x78452),f374(x78453,x78451,x78452)),x78451))+P1(f318(f318(f225(x78452),x78453),f318(f57(x78452,f92(x78452)),x78451)))
% 202.92/202.78 [7846]~P4(x78462)+E(x78461,f179(f927(x78462,a918)))+~P1(f318(f55(x78462),x78461))+P1(f318(f318(f320(x78462),f447(x78463,x78461,x78462)),x78461))+P1(f318(f318(f225(x78462),x78463),f318(f57(x78462,f223(x78462)),x78461)))
% 202.92/202.78 [7847]~P4(x78472)+E(x78471,f179(f927(x78472,a918)))+~P1(f318(f55(x78472),x78471))+P1(f318(f318(f320(x78472),f450(x78473,x78471,x78472)),x78471))+P1(f318(f318(f226(x78472),x78473),f318(f57(x78472,f223(x78472)),x78471)))
% 202.92/202.78 [7968]~P4(x79682)+E(x79681,f179(f927(x79682,a918)))+E(f318(f318(f223(x79682),f13(x79682,f223(x79682),x79681)),f13(x79682,f223(x79682),x79683)),f13(x79682,f223(x79682),x79683))+~P1(f318(f55(x79682),x79683))+~P1(f318(f318(f225(f927(x79682,a918)),x79681),x79683))
% 202.92/202.78 [7969]~P4(x79692)+E(x79691,f179(f927(x79692,a918)))+E(f318(f318(f224(x79692),f14(x79692,f224(x79692),x79691)),f14(x79692,f224(x79692),x79693)),f14(x79692,f224(x79692),x79693))+~P1(f318(f55(x79692),x79693))+~P1(f318(f318(f225(f927(x79692,a918)),x79691),x79693))
% 202.92/202.79 [8170]~E(f386(x81701,x81703,x81702),f387(x81701,x81703,x81702))+~E(f318(f29(x81702),f388(x81701,x81703,x81702)),x81701)+E(f318(f318(f74(a920),x81701),f318(f29(f927(x81702,a918)),x81703)),f318(f29(x81702),f31(f927(x81702,a918),x81703)))+~P1(f318(f55(x81702),f31(f927(x81702,a918),x81703)))+~P1(f318(f55(f927(x81702,a918)),x81703))
% 202.92/202.79 [8354]~P4(x83542)+E(x83541,f179(f927(x83542,a918)))+~P1(f318(f55(x83542),x83543))+P1(f318(f318(f225(x83542),f318(f57(x83542,f223(x83542)),x83543)),f318(f57(x83542,f223(x83542)),x83541)))+~P1(f318(f318(f225(f927(x83542,a918)),x83541),x83543))
% 202.92/202.79 [8656]~E(f386(x86561,x86563,x86562),f387(x86561,x86563,x86562))+E(f318(f318(f74(a920),x86561),f318(f29(f927(x86562,a918)),x86563)),f318(f29(x86562),f31(f927(x86562,a918),x86563)))+P1(f318(f318(f320(f927(x86562,a918)),f388(x86561,x86563,x86562)),x86563))+~P1(f318(f55(x86562),f31(f927(x86562,a918),x86563)))+~P1(f318(f55(f927(x86562,a918)),x86563))
% 202.92/202.79 [8682]~E(f318(f29(x86822),f388(x86821,x86823,x86822)),x86821)+E(f318(f318(f74(a920),x86821),f318(f29(f927(x86822,a918)),x86823)),f318(f29(x86822),f31(f927(x86822,a918),x86823)))+P1(f318(f318(f320(f927(x86822,a918)),f387(x86821,x86823,x86822)),x86823))+~P1(f318(f55(x86822),f31(f927(x86822,a918),x86823)))+~P1(f318(f55(f927(x86822,a918)),x86823))
% 202.92/202.79 [8683]~E(f318(f29(x86832),f388(x86831,x86833,x86832)),x86831)+E(f318(f318(f74(a920),x86831),f318(f29(f927(x86832,a918)),x86833)),f318(f29(x86832),f31(f927(x86832,a918),x86833)))+P1(f318(f318(f320(f927(x86832,a918)),f386(x86831,x86833,x86832)),x86833))+~P1(f318(f55(x86832),f31(f927(x86832,a918),x86833)))+~P1(f318(f55(f927(x86832,a918)),x86833))
% 202.92/202.79 [8710]~E(f318(f29(x87102),f388(x87101,x87103,x87102)),x87101)+~E(f318(f318(f92(f927(x87102,a918)),f387(x87101,x87103,x87102)),f386(x87101,x87103,x87102)),f179(f927(x87102,a918)))+E(f318(f318(f74(a920),x87101),f318(f29(f927(x87102,a918)),x87103)),f318(f29(x87102),f31(f927(x87102,a918),x87103)))+~P1(f318(f55(f927(x87102,a918)),x87103))+~P1(f318(f55(x87102),f31(f927(x87102,a918),x87103)))
% 202.92/202.79 [8976]E(f318(f318(f74(a920),x89761),f318(f29(f927(x89762,a918)),x89763)),f318(f29(x89762),f31(f927(x89762,a918),x89763)))+P1(f318(f318(f320(f927(x89762,a918)),f388(x89761,x89763,x89762)),x89763))+P1(f318(f318(f320(f927(x89762,a918)),f387(x89761,x89763,x89762)),x89763))+~P1(f318(f55(f927(x89762,a918)),x89763))+~P1(f318(f55(x89762),f31(f927(x89762,a918),x89763)))
% 202.92/202.79 [8977]E(f318(f318(f74(a920),x89771),f318(f29(f927(x89772,a918)),x89773)),f318(f29(x89772),f31(f927(x89772,a918),x89773)))+P1(f318(f318(f320(f927(x89772,a918)),f388(x89771,x89773,x89772)),x89773))+P1(f318(f318(f320(f927(x89772,a918)),f386(x89771,x89773,x89772)),x89773))+~P1(f318(f55(f927(x89772,a918)),x89773))+~P1(f318(f55(x89772),f31(f927(x89772,a918),x89773)))
% 202.92/202.79 [9003]~E(f318(f318(f92(f927(x90032,a918)),f387(x90031,x90033,x90032)),f386(x90031,x90033,x90032)),f179(f927(x90032,a918)))+E(f318(f318(f74(a920),x90031),f318(f29(f927(x90032,a918)),x90033)),f318(f29(x90032),f31(f927(x90032,a918),x90033)))+~P1(f318(f55(f927(x90032,a918)),x90033))+P1(f318(f318(f320(f927(x90032,a918)),f388(x90031,x90033,x90032)),x90033))+~P1(f318(f55(x90032),f31(f927(x90032,a918),x90033)))
% 202.92/202.79 [9263]~P102(x92632)+E(x92631,f179(f927(x92632,a918)))+~E(f318(f318(f74(x92632),f318(x92633,f394(x92631,x92633,x92632))),f318(x92633,f395(x92631,x92633,x92632))),f318(x92633,f318(f318(f74(x92632),f394(x92631,x92633,x92632)),f395(x92631,x92633,x92632))))+~P1(f318(f55(x92632),x92631))+E(f318(f57(x92632,f74(x92632)),f318(f301(x92632,x92632,x92633),x92631)),f318(x92633,f318(f57(x92632,f74(x92632)),x92631)))
% 202.92/202.79 [10206]P1(f318(f318(x102061,x102062),x102063))+P1(f318(f318(f226(a1),f498(x102061,x102063,x102062)),f499(x102061,x102063,x102062)))+P1(f318(f318(f225(a1),f499(x102061,x102063,x102062)),f2(a1)))+P1(f318(f318(x102061,f498(x102061,x102063,x102062)),f318(f318(f74(a1),f318(f94(a1),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))),f499(x102061,x102063,x102062))))+~P1(f318(f306(f926(a1,a1),a52),f318(f318(f243(a1,a1),x102062),x102063)))
% 202.92/202.79 [10212]P1(f318(f318(x102121,x102122),x102123))+P1(f318(f318(f225(a1),f497(x102121,x102123,x102122)),f2(a1)))+P1(f318(f318(x102121,f493(x102121,x102123,x102122)),f318(f318(f74(a1),f318(f94(a1),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))),f497(x102121,x102123,x102122))))+P1(f318(f318(f225(a1),f2(a1)),f318(f318(f73(a1),f493(x102121,x102123,x102122)),f497(x102121,x102123,x102122))))+~P1(f318(f306(f926(a1,a1),a46),f318(f318(f243(a1,a1),x102122),x102123)))
% 202.92/202.79 [8142]~P116(x81421)+~P1(f318(f318(f225(x81421),x81422),f71(x81421)))+~P1(f318(f318(f225(x81421),f2(x81421)),x81422))+~P1(f318(f318(f225(x81421),f2(x81421)),x81423))+P1(f318(f318(f225(x81421),f318(f318(f74(x81421),x81422),x81423)),x81423))
% 202.92/202.79 [8143]~P116(x81431)+~P1(f318(f318(f225(x81431),x81433),f71(x81431)))+~P1(f318(f318(f225(x81431),f2(x81431)),x81433))+~P1(f318(f318(f225(x81431),f2(x81431)),x81432))+P1(f318(f318(f225(x81431),f318(f318(f74(x81431),x81432),x81433)),x81432))
% 202.92/202.79 [8500]~P4(x85002)+E(x85001,f179(f927(x85002,a918)))+~P1(f318(f55(x85002),x85001))+P1(f318(f318(f225(x85002),f449(x85003,x85001,x85002)),x85003))+~P1(f318(f318(f225(x85002),f318(f57(x85002,f223(x85002)),x85001)),x85003))
% 202.92/202.79 [8501]~P4(x85012)+E(x85011,f179(f927(x85012,a918)))+~P1(f318(f55(x85012),x85011))+P1(f318(f318(f320(x85012),f449(x85013,x85011,x85012)),x85011))+~P1(f318(f318(f225(x85012),f318(f57(x85012,f223(x85012)),x85011)),x85013))
% 202.92/202.79 [8502]~P4(x85022)+E(x85021,f179(f927(x85022,a918)))+~P1(f318(f55(x85022),x85021))+P1(f318(f318(f320(x85022),f451(x85023,x85021,x85022)),x85021))+~P1(f318(f318(f226(x85022),f318(f57(x85022,f223(x85022)),x85021)),x85023))
% 202.92/202.79 [8503]~P4(x85032)+E(x85031,f179(f927(x85032,a918)))+~P1(f318(f55(x85032),x85031))+P1(f318(f318(f226(x85032),f451(x85033,x85031,x85032)),x85033))+~P1(f318(f318(f226(x85032),f318(f57(x85032,f223(x85032)),x85031)),x85033))
% 202.92/202.79 [8590]~P1(f318(x85901,x85903))+P1(f318(x85901,f901(x85901,x85902)))+P1(f318(x85901,f891(x85901,x85902)))+~P1(f318(f318(f226(a1),f2(a1)),x85902))+P1(f318(x85901,f318(f318(f3(a1),f891(x85901,x85902)),f318(f318(f74(a1),f902(x85901,x85902)),x85902))))
% 202.92/202.79 [8812]~P1(f318(x88121,x88123))+P1(f318(x88121,f891(x88121,x88122)))+~P1(f318(f318(f226(a1),f2(a1)),x88122))+P1(f318(f318(f320(a1),f901(x88121,x88122)),f294(a1,f71(a1),x88122)))+P1(f318(x88121,f318(f318(f3(a1),f891(x88121,x88122)),f318(f318(f74(a1),f902(x88121,x88122)),x88122))))
% 202.92/202.79 [9025]~P1(f318(x90251,x90253))+~P1(f318(x90251,f891(x90251,x90252)))+P1(f318(x90251,f901(x90251,x90252)))+~P1(f318(f318(f226(a1),f2(a1)),x90252))+~P1(f318(x90251,f318(f318(f3(a1),f891(x90251,x90252)),f318(f318(f74(a1),f902(x90251,x90252)),x90252))))
% 202.92/202.79 [9152]~P1(f318(x91521,x91523))+~P1(f318(x91521,f891(x91521,x91522)))+~P1(f318(f318(f226(a1),f2(a1)),x91522))+P1(f318(f318(f320(a1),f901(x91521,x91522)),f294(a1,f71(a1),x91522)))+~P1(f318(x91521,f318(f318(f3(a1),f891(x91521,x91522)),f318(f318(f74(a1),f902(x91521,x91522)),x91522))))
% 202.92/202.79 [8930]~P104(x89301)+~P1(f318(f55(x89301),x89302))+E(f318(f318(f3(f927(x89301,a918)),x89302),f318(f318(f300(x89301),x89303),f179(f927(x89301,a918)))),f179(f927(x89301,a918)))+~P1(f318(f318(f320(x89301),x89303),x89302))+E(f318(f318(f92(x89301),x89303),f12(x89301,f318(f318(f3(f927(x89301,a918)),x89302),f318(f318(f300(x89301),x89303),f179(f927(x89301,a918)))))),f12(x89301,x89302))
% 202.92/202.79 [8931]~P104(x89311)+~P1(f318(f55(x89311),x89312))+E(f318(f318(f3(f927(x89311,a918)),x89312),f318(f318(f300(x89311),x89313),f179(f927(x89311,a918)))),f179(f927(x89311,a918)))+~P1(f318(f318(f320(x89311),x89313),x89312))+E(f318(f318(f101(x89311),x89313),f15(x89311,f318(f318(f3(f927(x89311,a918)),x89312),f318(f318(f300(x89311),x89313),f179(f927(x89311,a918)))))),f15(x89311,x89312))
% 202.92/202.79 [8932]~P4(x89321)+~P1(f318(f55(x89321),x89322))+E(f318(f318(f3(f927(x89321,a918)),x89322),f318(f318(f300(x89321),x89323),f179(f927(x89321,a918)))),f179(f927(x89321,a918)))+~P1(f318(f318(f320(x89321),x89323),x89322))+E(f318(f318(f223(x89321),x89323),f16(x89321,f318(f318(f3(f927(x89321,a918)),x89322),f318(f318(f300(x89321),x89323),f179(f927(x89321,a918)))))),f16(x89321,x89322))
% 202.92/202.79 [8933]~P4(x89331)+~P1(f318(f55(x89331),x89332))+E(f318(f318(f3(f927(x89331,a918)),x89332),f318(f318(f300(x89331),x89333),f179(f927(x89331,a918)))),f179(f927(x89331,a918)))+~P1(f318(f318(f320(x89331),x89333),x89332))+E(f318(f318(f224(x89331),x89333),f17(x89331,f318(f318(f3(f927(x89331,a918)),x89332),f318(f318(f300(x89331),x89333),f179(f927(x89331,a918)))))),f17(x89331,x89332))
% 202.92/202.79 [8996]~P4(x89961)+~P1(f318(f55(x89961),x89962))+E(f318(f318(f3(f927(x89961,a918)),x89962),f318(f318(f300(x89961),x89963),f179(f927(x89961,a918)))),f179(f927(x89961,a918)))+~P1(f318(f318(f320(x89961),x89963),x89962))+E(f318(f318(f223(x89961),x89963),f13(x89961,f223(x89961),f318(f318(f3(f927(x89961,a918)),x89962),f318(f318(f300(x89961),x89963),f179(f927(x89961,a918)))))),f13(x89961,f223(x89961),x89962))
% 202.92/202.79 [8997]~P4(x89971)+~P1(f318(f55(x89971),x89972))+E(f318(f318(f3(f927(x89971,a918)),x89972),f318(f318(f300(x89971),x89973),f179(f927(x89971,a918)))),f179(f927(x89971,a918)))+~P1(f318(f318(f320(x89971),x89973),x89972))+E(f318(f318(f224(x89971),x89973),f14(x89971,f224(x89971),f318(f318(f3(f927(x89971,a918)),x89972),f318(f318(f300(x89971),x89973),f179(f927(x89971,a918)))))),f14(x89971,f224(x89971),x89972))
% 202.92/202.79 [9012]~P104(x90121)+~P1(f318(f55(x90121),x90123))+~P1(f318(f55(x90121),x90122))+E(f318(f318(f92(f927(x90121,a918)),x90122),x90123),f179(f927(x90121,a918)))+E(f318(f318(f92(x90121),f12(x90121,f318(f318(f101(f927(x90121,a918)),x90122),x90123))),f12(x90121,f318(f318(f92(f927(x90121,a918)),x90122),x90123))),f318(f318(f92(x90121),f12(x90121,x90122)),f12(x90121,x90123)))
% 202.92/202.79 [9013]~P104(x90131)+~P1(f318(f55(x90131),x90133))+~P1(f318(f55(x90131),x90132))+E(f318(f318(f92(f927(x90131,a918)),x90132),x90133),f179(f927(x90131,a918)))+E(f318(f318(f101(x90131),f15(x90131,f318(f318(f101(f927(x90131,a918)),x90132),x90133))),f15(x90131,f318(f318(f92(f927(x90131,a918)),x90132),x90133))),f318(f318(f101(x90131),f15(x90131,x90132)),f15(x90131,x90133)))
% 202.92/202.79 [9014]~P4(x90141)+~P1(f318(f55(x90141),x90143))+~P1(f318(f55(x90141),x90142))+E(f318(f318(f92(f927(x90141,a918)),x90142),x90143),f179(f927(x90141,a918)))+E(f318(f318(f223(x90141),f16(x90141,f318(f318(f101(f927(x90141,a918)),x90142),x90143))),f16(x90141,f318(f318(f92(f927(x90141,a918)),x90142),x90143))),f318(f318(f223(x90141),f16(x90141,x90142)),f16(x90141,x90143)))
% 202.92/202.79 [9015]~P4(x90151)+~P1(f318(f55(x90151),x90153))+~P1(f318(f55(x90151),x90152))+E(f318(f318(f92(f927(x90151,a918)),x90152),x90153),f179(f927(x90151,a918)))+E(f318(f318(f224(x90151),f17(x90151,f318(f318(f101(f927(x90151,a918)),x90152),x90153))),f17(x90151,f318(f318(f92(f927(x90151,a918)),x90152),x90153))),f318(f318(f224(x90151),f17(x90151,x90152)),f17(x90151,x90153)))
% 202.92/202.79 [9235]~P4(x92351)+~P1(f318(f55(x92351),x92353))+~P1(f318(f55(x92351),x92352))+E(f318(f318(f92(f927(x92351,a918)),x92352),x92353),f179(f927(x92351,a918)))+E(f318(f318(f223(x92351),f13(x92351,f223(x92351),f318(f318(f101(f927(x92351,a918)),x92352),x92353))),f13(x92351,f223(x92351),f318(f318(f92(f927(x92351,a918)),x92352),x92353))),f318(f318(f223(x92351),f13(x92351,f223(x92351),x92352)),f13(x92351,f223(x92351),x92353)))
% 202.92/202.79 [9236]~P4(x92361)+~P1(f318(f55(x92361),x92363))+~P1(f318(f55(x92361),x92362))+E(f318(f318(f92(f927(x92361,a918)),x92362),x92363),f179(f927(x92361,a918)))+E(f318(f318(f224(x92361),f14(x92361,f224(x92361),f318(f318(f101(f927(x92361,a918)),x92362),x92363))),f14(x92361,f224(x92361),f318(f318(f92(f927(x92361,a918)),x92362),x92363))),f318(f318(f224(x92361),f14(x92361,f224(x92361),x92362)),f14(x92361,f224(x92361),x92363)))
% 202.92/202.79 [10045]~P135(x100453)+E(x100451,x100452)+~P1(f318(f318(f225(x100453),f2(x100453)),x100452))+~P1(f318(f318(f225(x100453),f2(x100453)),x100451))+~E(f318(f318(f235(x100453),x100451),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))),f318(f318(f235(x100453),x100452),f318(f94(a920),f318(f318(f73(a1),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)),f318(f318(f3(a1),f318(f318(f73(a1),a76),a76)),a88)))))
% 202.92/202.79 [6043]~P70(x60432)+E(x60431,f2(x60432))+~E(f318(f318(f30(x60432),x60433),x60431),x60434)+E(x60433,f318(f318(f74(x60432),x60434),x60431))+~P1(f318(f318(f278(x60432),x60431),x60433))
% 202.92/202.79 [6044]~P70(x60442)+E(x60441,f2(x60442))+~E(x60443,f318(f318(f74(x60442),x60444),x60441))+E(f318(f318(f30(x60442),x60443),x60441),x60444)+~P1(f318(f318(f278(x60442),x60441),x60443))
% 202.92/202.79 [6518]E(f351(x65181,x65182,x65183),x65184)+E(f318(x65181,x65184),f2(a920))+~E(f318(f318(f8(x65183,a920),x65181),x65182),f71(a920))+~P1(f318(f55(x65183),x65182))+~P1(f318(f318(f320(x65183),x65184),x65182))
% 202.92/202.79 [6582]E(f413(x65821,x65822,x65823),x65824)+E(f318(x65821,x65824),f2(a920))+~E(f318(f318(f8(x65823,a920),x65821),x65822),f318(a103,f2(a920)))+~P1(f318(f55(x65823),x65822))+~P1(f318(f318(f320(x65823),x65824),x65822))
% 202.92/202.79 [6692]~P4(x66921)+~P5(x66921)+P1(f318(f318(f226(x66921),x66922),f31(x66921,x66923)))+~P1(f318(f318(f226(x66921),x66922),x66924))+~P1(f318(f318(f320(x66921),x66924),x66923))
% 202.92/202.79 [6870]~P4(x68701)+~P5(x68701)+~P1(f318(f318(f226(x68701),x68704),x68703))+P1(f318(f318(f226(x68701),f32(x68701,x68702)),x68703))+~P1(f318(f318(f320(x68701),x68704),x68702))
% 202.92/202.79 [7137]~P135(x71373)+E(x71371,x71372)+~E(f318(f318(f235(x71373),x71371),f318(a103,x71374)),f318(f318(f235(x71373),x71372),f318(a103,x71374)))+~P1(f318(f318(f225(x71373),f2(x71373)),x71372))+~P1(f318(f318(f225(x71373),f2(x71373)),x71371))
% 202.92/202.79 [7351]~E(f417(x73512,x73513,x73511,x73514),x73514)+~E(f318(x73512,x73514),f71(a920))+E(f318(f318(f8(x73511,a920),x73512),x73513),f71(a920))+~P1(f318(f55(x73511),x73513))+~P1(f318(f318(f320(x73511),x73514),x73513))
% 202.92/202.79 [7358]~P129(x73584)+~P118(x73584)+E(f318(x73581,f385(x73581,x73582,x73583,x73584)),f2(x73584))+~E(f318(f318(f11(x73583,x73584),x73581),x73582),f2(x73584))+~P1(f318(f55(x73583),x73582))
% 202.92/202.79 [7450]~E(f414(x74502,x74503,x74501,x74504),x74504)+~E(f318(x74502,x74504),f318(a103,f2(a920)))+E(f318(f318(f8(x74501,a920),x74502),x74503),f318(a103,f2(a920)))+~P1(f318(f55(x74501),x74503))+~P1(f318(f318(f320(x74501),x74504),x74503))
% 202.92/202.79 [8183]~E(f318(x81832,x81834),f71(a920))+~E(f318(x81832,f417(x81832,x81833,x81831,x81834)),f2(a920))+E(f318(f318(f8(x81831,a920),x81832),x81833),f71(a920))+~P1(f318(f55(x81831),x81833))+~P1(f318(f318(f320(x81831),x81834),x81833))
% 202.92/202.79 [8221]~E(f318(x82212,x82214),f318(a103,f2(a920)))+~E(f318(x82212,f414(x82212,x82213,x82211,x82214)),f2(a920))+E(f318(f318(f8(x82211,a920),x82212),x82213),f318(a103,f2(a920)))+~P1(f318(f55(x82211),x82213))+~P1(f318(f318(f320(x82211),x82214),x82213))
% 202.92/202.79 [8308]~P148(x83082)+~P124(x83082)+~P1(f318(x83081,x83084))+~P1(f318(f318(f278(x83082),x83083),f318(f318(f73(x83082),x83084),f2(x83082))))+P1(f318(x83081,f318(f318(f74(x83082),x83083),f861(x83083,x83081,x83082))))
% 202.92/202.79 [8779]~P4(x87791)+~P13(x87791,x87794)+P13(x87791,x87792)+~E(x87792,f318(f318(f142(x87791),x87793),x87794))+~P1(f318(f318(f225(x87791),x87793),f733(x87792,x87791,x87794,x87793)))
% 202.92/202.79 [8816]E(x88161,x88162)+E(f318(f318(f3(a1),f903(x88163,x88162,x88164,x88161)),f904(x88163,x88162,x88164,x88161)),x88161)+~E(f318(f318(f73(a1),x88161),x88164),x88162)+~P1(f318(f318(f226(a1),f2(a1)),x88164))+~P1(f318(f318(f320(a1),x88162),x88163))
% 202.92/202.79 [8817]E(x88171,x88172)+E(f318(f318(f73(a1),f911(x88173,x88172,x88174,x88171)),f912(x88173,x88172,x88174,x88171)),x88171)+~E(f318(f318(f3(a1),x88171),x88174),x88172)+~P1(f318(f318(f226(a1),f2(a1)),x88174))+~P1(f318(f318(f320(a1),x88172),x88173))
% 202.92/202.79 [9010]E(f318(x90101,f440(x90102,x90101,x90103,x90104)),x90102)+P1(f318(f318(f225(a920),x90104),f430(x90102,x90101,x90103,x90104)))+~P1(f318(f318(f225(a1),x90102),f318(x90101,x90103)))+~P1(f318(f318(f226(a920),x90104),x90103))+~P1(f318(f318(f225(a1),f318(x90101,x90104)),x90102))
% 202.92/202.79 [9011]~P4(x90111)+~P13(x90111,x90113)+P13(x90111,x90112)+~E(x90112,f318(f318(f142(x90111),x90114),x90113))+P1(f318(f318(f320(x90111),f733(x90112,x90111,x90113,x90114)),f318(f163(x90111),x90113)))
% 202.92/202.79 [9029]~P129(x90294)+~P118(x90294)+~E(f318(f318(f11(x90291,x90294),x90292),x90293),f2(x90294))+~P1(f318(f55(x90291),x90293))+P1(f318(f318(f320(x90291),f385(x90292,x90293,x90291,x90294)),x90293))
% 202.92/202.79 [9068]~E(f318(x90682,x90684),f71(a920))+E(f318(f318(f8(x90681,a920),x90682),x90683),f71(a920))+~P1(f318(f55(x90681),x90683))+~P1(f318(f318(f320(x90681),x90684),x90683))+P1(f318(f318(f320(x90681),f417(x90682,x90683,x90681,x90684)),x90683))
% 202.92/202.79 [9080]E(x90801,x90802)+~E(f318(f318(f73(a1),x90802),x90804),x90801)+~P1(f318(f318(f226(a1),f2(a1)),x90804))+~P1(f318(f318(f320(a1),x90801),x90803))+P1(f318(f318(f320(a1),f903(x90803,x90801,x90804,x90802)),x90803))
% 202.92/202.79 [9081]E(x90811,x90812)+~E(f318(f318(f3(a1),x90812),x90814),x90811)+~P1(f318(f318(f226(a1),f2(a1)),x90814))+~P1(f318(f318(f320(a1),x90811),x90813))+P1(f318(f318(f320(a1),f911(x90813,x90811,x90814,x90812)),x90813))
% 202.92/202.79 [9083]~E(f318(x90832,x90834),f318(a103,f2(a920)))+E(f318(f318(f8(x90831,a920),x90832),x90833),f318(a103,f2(a920)))+~P1(f318(f55(x90831),x90833))+~P1(f318(f318(f320(x90831),x90834),x90833))+P1(f318(f318(f320(x90831),f414(x90832,x90833,x90831,x90834)),x90833))
% 202.92/202.79 [9088]P62(x90882,x90883,x90884,x90881)+E(x90881,f179(f927(x90882,a918)))+~P1(f318(f55(x90882),x90884))+~P1(f318(f55(x90882),x90881))+P1(f318(f318(f320(x90882),f800(x90883,x90881,x90884,x90882)),x90884))
% 202.92/202.79 [9089]P62(x90892,x90893,x90894,x90891)+E(x90891,f179(f927(x90892,a918)))+~P1(f318(f55(x90892),x90894))+~P1(f318(f55(x90892),x90891))+P1(f318(f318(f320(x90892),f544(x90891,x90894,x90893,x90892)),x90894))
% 202.92/202.79 [9090]P62(x90902,x90903,x90904,x90901)+E(x90901,f179(f927(x90902,a918)))+~P1(f318(f55(x90902),x90904))+~P1(f318(f55(x90902),x90901))+P1(f318(f318(f320(x90902),f802(x90901,x90904,x90903,x90902)),x90904))
% 202.92/202.79 [9165]E(x91651,x91652)+~E(f318(f318(f73(a1),x91652),x91654),x91651)+~P1(f318(f318(f226(a1),f2(a1)),x91654))+~P1(f318(f318(f320(a1),x91651),x91653))+P1(f318(f318(f320(a1),f904(x91653,x91651,x91654,x91652)),f294(a1,f71(a1),x91654)))
% 202.92/202.79 [9166]E(x91661,x91662)+~E(f318(f318(f3(a1),x91662),x91664),x91661)+~P1(f318(f318(f226(a1),f2(a1)),x91664))+~P1(f318(f318(f320(a1),x91661),x91663))+P1(f318(f318(f320(a1),f912(x91663,x91661,x91664,x91662)),f294(a1,f71(a1),x91664)))
% 202.92/202.79 [9241]P1(f318(f318(f225(a920),x92411),f440(x92412,x92413,x92414,x92411)))+~P1(f318(f318(f225(a1),x92412),f318(x92413,x92414)))+P1(f318(f318(f225(a920),x92411),f430(x92412,x92413,x92414,x92411)))+~P1(f318(f318(f226(a920),x92411),x92414))+~P1(f318(f318(f225(a1),f318(x92413,x92411)),x92412))
% 202.92/202.79 [9357]E(f318(x93571,f440(x93572,x93571,x93573,x93574)),x93572)+~P1(f318(f318(f225(a1),x93572),f318(x93571,x93573)))+P1(f318(f318(f226(a920),f430(x93572,x93571,x93573,x93574)),x93573))+~P1(f318(f318(f226(a920),x93574),x93573))+~P1(f318(f318(f225(a1),f318(x93571,x93574)),x93572))
% 202.92/202.79 [9488]~P1(f318(f318(f225(a1),x94882),f318(x94883,x94884)))+P1(f318(f318(f225(a920),x94881),f430(x94882,x94883,x94884,x94881)))+P1(f318(f318(f225(a920),f440(x94882,x94883,x94884,x94881)),x94884))+~P1(f318(f318(f226(a920),x94881),x94884))+~P1(f318(f318(f225(a1),f318(x94883,x94881)),x94882))
% 202.92/202.79 [9489]~P1(f318(f318(f225(a1),x94892),f318(x94893,x94894)))+P1(f318(f318(f225(a920),x94891),f440(x94892,x94893,x94894,x94891)))+P1(f318(f318(f226(a920),f430(x94892,x94893,x94894,x94891)),x94894))+~P1(f318(f318(f226(a920),x94891),x94894))+~P1(f318(f318(f225(a1),f318(x94893,x94891)),x94892))
% 202.92/202.79 [9598]~P1(f318(f318(f225(a1),x95981),f318(x95982,x95983)))+P1(f318(f318(f226(a920),f430(x95981,x95982,x95983,x95984)),x95983))+~P1(f318(f318(f226(a920),x95984),x95983))+~P1(f318(f318(f225(a1),f318(x95982,x95984)),x95981))+P1(f318(f318(f225(a920),f440(x95981,x95982,x95983,x95984)),x95983))
% 202.92/202.79 [9686]E(x96861,f179(f927(x96862,a918)))+~P1(f318(f55(x96862),x96864))+~P1(f318(f55(x96862),x96861))+P1(f318(f318(f320(f926(f927(x96862,a918),f927(x96862,a918))),f318(f318(f243(f927(x96862,a918),f927(x96862,a918)),x96864),x96861)),f310(x96862,x96863)))+P1(f318(f318(f320(x96862),f549(x96863,x96861,x96864,x96862)),x96864))
% 202.92/202.79 [9687]E(x96871,f179(f927(x96872,a918)))+~P1(f318(f55(x96872),x96874))+~P1(f318(f55(x96872),x96871))+P1(f318(f318(f320(f926(f927(x96872,a918),f927(x96872,a918))),f318(f318(f243(f927(x96872,a918),f927(x96872,a918)),x96874),x96871)),f310(x96872,x96873)))+P1(f318(f318(f320(x96872),f609(x96873,x96871,x96874,x96872)),x96874))
% 202.92/202.79 [10362]E(f318(x103621,f440(x103622,x103621,x103623,x103624)),x103622)+~P1(f318(f318(f225(a1),x103622),f318(x103621,x103623)))+~P1(f318(f318(f225(a1),f318(f69(a1),f318(f318(f3(a1),f318(x103621,f318(f318(f73(a920),f430(x103622,x103621,x103623,x103624)),f71(a920)))),f318(x103621,f430(x103622,x103621,x103623,x103624))))),f71(a1)))+~P1(f318(f318(f226(a920),x103624),x103623))+~P1(f318(f318(f225(a1),f318(x103621,x103624)),x103622))
% 202.92/202.79 [10363]~P1(f318(f318(f225(a1),x103632),f318(x103633,x103634)))+P1(f318(f318(f225(a920),x103631),f440(x103632,x103633,x103634,x103631)))+~P1(f318(f318(f225(a1),f318(f69(a1),f318(f318(f3(a1),f318(x103633,f318(f318(f73(a920),f430(x103632,x103633,x103634,x103631)),f71(a920)))),f318(x103633,f430(x103632,x103633,x103634,x103631))))),f71(a1)))+~P1(f318(f318(f226(a920),x103631),x103634))+~P1(f318(f318(f225(a1),f318(x103633,x103631)),x103632))
% 202.92/202.79 [10364]~P1(f318(f318(f225(a1),x103641),f318(x103642,x103643)))+~P1(f318(f318(f225(a1),f318(f69(a1),f318(f318(f3(a1),f318(x103642,f318(f318(f73(a920),f430(x103641,x103642,x103643,x103644)),f71(a920)))),f318(x103642,f430(x103641,x103642,x103643,x103644))))),f71(a1)))+~P1(f318(f318(f226(a920),x103644),x103643))+~P1(f318(f318(f225(a1),f318(x103642,x103644)),x103641))+P1(f318(f318(f225(a920),f440(x103641,x103642,x103643,x103644)),x103643))
% 202.92/202.79 [7413]~P76(x74131)+P1(f318(f318(f226(x74131),x74132),f2(x74131)))+~P1(f318(f318(f225(x74131),x74133),f2(x74131)))+P1(f318(f318(f226(x74131),f2(x74131)),x74132))+P1(f318(f318(f225(x74131),x74133),f318(f318(f282(x74131),x74134),x74132)))
% 202.92/202.79 [7414]~P76(x74141)+P1(f318(f318(f226(x74141),x74142),f2(x74141)))+~P1(f318(f318(f226(x74141),x74143),f2(x74141)))+P1(f318(f318(f226(x74141),f2(x74141)),x74142))+P1(f318(f318(f226(x74141),x74143),f318(f318(f282(x74141),x74144),x74142)))
% 202.92/202.79 [7660]~P76(x76601)+P1(f318(f318(f225(x76601),x76602),f2(x76601)))+P1(f318(f318(f226(x76601),x76603),f2(x76601)))+P1(f318(f318(f226(x76601),f2(x76601)),x76603))+~P1(f318(f318(f225(x76601),x76602),f318(f318(f282(x76601),x76604),x76603)))
% 202.92/202.79 [7661]~P76(x76611)+P1(f318(f318(f226(x76611),x76612),f2(x76611)))+P1(f318(f318(f226(x76611),x76613),f2(x76611)))+P1(f318(f318(f226(x76611),f2(x76611)),x76613))+~P1(f318(f318(f226(x76611),x76612),f318(f318(f282(x76611),x76614),x76613)))
% 202.92/202.79 [7777]E(x77771,x77772)+~E(f318(f318(f155(x77773),x77774),x77771),f318(f318(f155(x77773),x77774),x77772))+~P1(f318(f128(x77773),x77774))+~P1(f318(f318(f226(a920),x77772),f318(f180(f921(x77773)),x77774)))+~P1(f318(f318(f226(a920),x77771),f318(f180(f921(x77773)),x77774)))
% 202.92/202.79 [8144]~P76(x81441)+~P1(f318(f318(f225(x81441),x81443),f2(x81441)))+P1(f318(f318(f226(x81441),f2(x81441)),x81442))+~P1(f318(f318(f225(x81441),x81444),f318(f318(f74(x81441),x81443),x81442)))+P1(f318(f318(f225(x81441),x81443),f318(f318(f282(x81441),x81444),x81442)))
% 202.92/202.79 [8145]~P76(x81451)+~P1(f318(f318(f226(x81451),x81453),f2(x81451)))+P1(f318(f318(f226(x81451),f2(x81451)),x81452))+~P1(f318(f318(f226(x81451),x81454),f318(f318(f74(x81451),x81453),x81452)))+P1(f318(f318(f226(x81451),x81453),f318(f318(f282(x81451),x81454),x81452)))
% 202.92/202.79 [8146]~P76(x81461)+~P1(f318(f318(f226(x81461),x81462),f2(x81461)))+P1(f318(f318(f226(x81461),f2(x81461)),x81462))+~P1(f318(f318(f225(x81461),x81464),f318(f318(f74(x81461),x81463),x81462)))+P1(f318(f318(f225(x81461),x81463),f318(f318(f282(x81461),x81464),x81462)))
% 202.92/202.79 [8147]~P76(x81471)+~P1(f318(f318(f226(x81471),x81472),f2(x81471)))+P1(f318(f318(f226(x81471),f2(x81471)),x81472))+~P1(f318(f318(f225(x81471),x81474),f318(f318(f282(x81471),x81473),x81472)))+P1(f318(f318(f225(x81471),x81473),f318(f318(f74(x81471),x81474),x81472)))
% 202.92/202.79 [8148]~P76(x81481)+~P1(f318(f318(f226(x81481),x81482),f2(x81481)))+P1(f318(f318(f226(x81481),f2(x81481)),x81482))+~P1(f318(f318(f226(x81481),x81484),f318(f318(f74(x81481),x81483),x81482)))+P1(f318(f318(f226(x81481),x81483),f318(f318(f282(x81481),x81484),x81482)))
% 202.92/202.79 [8149]~P76(x81491)+~P1(f318(f318(f226(x81491),x81492),f2(x81491)))+P1(f318(f318(f226(x81491),f2(x81491)),x81492))+~P1(f318(f318(f226(x81491),x81494),f318(f318(f282(x81491),x81493),x81492)))+P1(f318(f318(f226(x81491),x81493),f318(f318(f74(x81491),x81494),x81492)))
% 202.92/202.79 [8290]~P4(x82901)+~P13(x82901,x82902)+~P1(f318(f318(f225(a920),x82903),x82904))+P1(f318(f318(f225(x82901),f318(f318(f155(x82901),x82902),x82903)),f318(f318(f155(x82901),x82902),x82904)))+~P1(f318(f318(f226(a920),x82904),f318(f180(f921(x82901)),x82902)))
% 202.92/202.79 [8345]~P135(x83451)+~P1(f318(f318(f225(x83451),x83452),f71(x83451)))+~P1(f318(f318(f225(x83451),f2(x83451)),x83452))+~P1(f318(f318(f225(a920),x83454),x83453))+P1(f318(f318(f225(x83451),f318(f318(f235(x83451),x83452),x83453)),f318(f318(f235(x83451),x83452),x83454)))
% 202.92/202.79 [8346]~P135(x83461)+~P1(f318(f318(f226(x83461),x83462),f71(x83461)))+~P1(f318(f318(f226(x83461),f2(x83461)),x83462))+~P1(f318(f318(f226(a920),x83464),x83463))+P1(f318(f318(f226(x83461),f318(f318(f235(x83461),x83462),x83463)),f318(f318(f235(x83461),x83462),x83464)))
% 202.92/202.79 [8347]~P135(x83471)+~P1(f318(f318(f225(x83471),f2(x83471)),x83472))+~P1(f318(f318(f226(a920),f2(a920)),x83473))+~P1(f318(f318(f226(x83471),x83472),x83474))+P1(f318(f318(f226(x83471),f318(f318(f235(x83471),x83472),x83473)),f318(f318(f235(x83471),x83474),x83473)))
% 202.92/202.79 [8366]~P4(x83661)+~P13(x83661,f318(f159(x83661),x83662))+~P1(f318(f318(f225(a920),x83664),x83663))+P1(f318(f318(f225(x83661),f318(f318(f155(x83661),x83662),x83663)),f318(f318(f155(x83661),x83662),x83664)))+~P1(f318(f318(f226(a920),x83663),f318(f180(f921(x83661)),x83662)))
% 202.92/202.79 [8611]~P76(x86111)+~P1(f318(f318(f225(x86111),x86112),f2(x86111)))+~P1(f318(f318(f225(x86111),x86113),x86114))+~P1(f318(f318(f226(x86111),f2(x86111)),f318(f318(f74(x86111),x86113),x86114)))+P1(f318(f318(f225(x86111),f318(f318(f282(x86111),x86112),x86113)),f318(f318(f282(x86111),x86112),x86114)))
% 202.92/202.79 [8612]~P77(x86121)+~P1(f318(f318(f226(x86121),x86122),f2(x86121)))+~P1(f318(f318(f226(x86121),x86123),x86124))+~P1(f318(f318(f226(x86121),f2(x86121)),f318(f318(f74(x86121),x86123),x86124)))+P1(f318(f318(f226(x86121),f318(f318(f282(x86121),x86122),x86123)),f318(f318(f282(x86121),x86122),x86124)))
% 202.92/202.79 [8621]~P77(x86211)+~P1(f318(f318(f225(x86211),x86214),x86213))+~P1(f318(f318(f225(x86211),f2(x86211)),x86212))+~P1(f318(f318(f226(x86211),f2(x86211)),f318(f318(f74(x86211),x86213),x86214)))+P1(f318(f318(f225(x86211),f318(f318(f282(x86211),x86212),x86213)),f318(f318(f282(x86211),x86212),x86214)))
% 202.92/202.79 [8622]~P77(x86221)+~P1(f318(f318(f226(x86221),x86224),x86223))+~P1(f318(f318(f226(x86221),f2(x86221)),x86222))+~P1(f318(f318(f226(x86221),f2(x86221)),f318(f318(f74(x86221),x86223),x86224)))+P1(f318(f318(f226(x86221),f318(f318(f282(x86221),x86222),x86223)),f318(f318(f282(x86221),x86222),x86224)))
% 202.92/202.79 [8726]P1(f318(x87261,x87262))+~P1(f318(f55(x87264),x87262))+P1(f318(x87261,f372(x87261,x87263,x87262,x87264)))+~P1(f318(x87261,f179(f927(x87264,a918))))+~P1(f318(f318(f225(f927(x87264,a918)),x87262),x87263))
% 202.92/202.79 [8735]P1(f318(x87351,x87352))+P1(f318(f55(x87353),f372(x87351,x87354,x87352,x87353)))+~P1(f318(f55(x87353),x87352))+~P1(f318(x87351,f179(f927(x87353,a918))))+~P1(f318(f318(f225(f927(x87353,a918)),x87352),x87354))
% 202.92/202.79 [9005]E(f318(f318(f73(a1),f913(x90051,x90052,x90053,x90054)),f914(x90051,x90052,x90053,x90054)),x90054)+~P1(f318(f318(f226(a1),f2(a1)),x90053))+~P1(f318(f318(f226(a1),x90052),x90054))+~P1(f318(f318(f320(a1),x90052),x90051))+P1(f318(f318(f226(a1),x90052),f318(f318(f3(a1),x90054),x90053)))
% 202.92/202.79 [9222]~P1(f318(f318(f226(a1),f2(a1)),x92223))+~P1(f318(f318(f226(a1),x92222),x92224))+~P1(f318(f318(f320(a1),x92222),x92221))+P1(f318(f318(f320(a1),f913(x92221,x92222,x92223,x92224)),x92221))+P1(f318(f318(f226(a1),x92222),f318(f318(f3(a1),x92224),x92223)))
% 202.92/202.79 [9234]P1(f318(x92341,x92342))+~P1(f318(f55(x92343),x92342))+P1(f318(f318(f320(x92343),f373(x92341,x92344,x92342,x92343)),x92344))+~P1(f318(x92341,f179(f927(x92343,a918))))+~P1(f318(f318(f225(f927(x92343,a918)),x92342),x92344))
% 202.92/202.79 [9251]E(f318(f318(f73(a1),f896(x92511,x92512,x92513,x92514)),f897(x92511,x92512,x92513,x92514)),x92514)+~P1(f318(f318(f226(a1),f2(a1)),x92513))+~P1(f318(f318(f225(a1),x92512),x92514))+P1(f318(f318(f225(a1),x92512),f318(f318(f3(a1),x92514),x92513)))+~P1(f318(f318(f320(a1),f318(f318(f3(a1),x92512),f71(a1))),x92511))
% 202.92/202.79 [9305]~P1(f318(f318(f226(a1),f2(a1)),x93053))+~P1(f318(f318(f226(a1),x93051),x93052))+~P1(f318(f318(f320(a1),x93051),x93054))+P1(f318(f318(f320(a1),f914(x93054,x93051,x93053,x93052)),f294(a1,f71(a1),x93053)))+P1(f318(f318(f226(a1),x93051),f318(f318(f3(a1),x93052),x93053)))
% 202.92/202.79 [9331]~P83(x93312)+~E(f782(x93313,x93314,x93311,x93312),f783(x93313,x93314,x93311,x93312))+~P1(f318(f55(x93311),f784(x93313,x93314,x93311,x93312)))+E(f318(f318(f8(f927(x93311,a918),x93312),f318(f8(x93311,x93312),x93313)),x93314),f318(f318(f8(x93311,x93312),x93313),f31(f927(x93311,a918),x93314)))+~P1(f318(f55(f927(x93311,a918)),x93314))
% 202.92/202.79 [9335]~P83(x93352)+~E(f318(x93353,f785(x93353,x93354,x93351,x93352)),f2(x93352))+~P1(f318(f55(x93351),f784(x93353,x93354,x93351,x93352)))+E(f318(f318(f8(f927(x93351,a918),x93352),f318(f8(x93351,x93352),x93353)),x93354),f318(f318(f8(x93351,x93352),x93353),f31(f927(x93351,a918),x93354)))+~P1(f318(f55(f927(x93351,a918)),x93354))
% 202.92/202.79 [9401]~P1(f318(f318(f226(a1),f2(a1)),x94013))+~P1(f318(f318(f225(a1),x94012),x94014))+P1(f318(f318(f320(a1),f896(x94011,x94012,x94013,x94014)),x94011))+P1(f318(f318(f225(a1),x94012),f318(f318(f3(a1),x94014),x94013)))+~P1(f318(f318(f320(a1),f318(f318(f3(a1),x94012),f71(a1))),x94011))
% 202.92/202.79 [9445]~P1(f318(f318(f226(a1),f2(a1)),x94453))+~P1(f318(f318(f225(a1),x94451),x94452))+P1(f318(f318(f320(a1),f897(x94454,x94451,x94453,x94452)),f294(a1,f71(a1),x94453)))+P1(f318(f318(f225(a1),x94451),f318(f318(f3(a1),x94452),x94453)))+~P1(f318(f318(f320(a1),f318(f318(f3(a1),x94451),f71(a1))),x94454))
% 202.92/202.79 [9467]~P83(x94672)+~E(f782(x94673,x94674,x94671,x94672),f783(x94673,x94674,x94671,x94672))+E(f318(f318(f8(f927(x94671,a918),x94672),f318(f8(x94671,x94672),x94673)),x94674),f318(f318(f8(x94671,x94672),x94673),f31(f927(x94671,a918),x94674)))+P1(f318(f318(f320(f927(x94671,a918)),f784(x94673,x94674,x94671,x94672)),x94674))+~P1(f318(f55(f927(x94671,a918)),x94674))
% 202.92/202.79 [9472]~P83(x94722)+~E(f318(x94723,f785(x94723,x94724,x94721,x94722)),f2(x94722))+E(f318(f318(f8(f927(x94721,a918),x94722),f318(f8(x94721,x94722),x94723)),x94724),f318(f318(f8(x94721,x94722),x94723),f31(f927(x94721,a918),x94724)))+P1(f318(f318(f320(f927(x94721,a918)),f784(x94723,x94724,x94721,x94722)),x94724))+~P1(f318(f55(f927(x94721,a918)),x94724))
% 202.92/202.79 [9575]~P83(x95752)+~P1(f318(f55(x95751),f784(x95753,x95754,x95751,x95752)))+E(f318(f318(f8(f927(x95751,a918),x95752),f318(f8(x95751,x95752),x95753)),x95754),f318(f318(f8(x95751,x95752),x95753),f31(f927(x95751,a918),x95754)))+P1(f318(f318(f320(f927(x95751,a918)),f783(x95753,x95754,x95751,x95752)),x95754))+~P1(f318(f55(f927(x95751,a918)),x95754))
% 202.92/202.79 [9576]~P83(x95762)+~P1(f318(f55(x95761),f784(x95763,x95764,x95761,x95762)))+E(f318(f318(f8(f927(x95761,a918),x95762),f318(f8(x95761,x95762),x95763)),x95764),f318(f318(f8(x95761,x95762),x95763),f31(f927(x95761,a918),x95764)))+P1(f318(f318(f320(f927(x95761,a918)),f782(x95763,x95764,x95761,x95762)),x95764))+~P1(f318(f55(f927(x95761,a918)),x95764))
% 202.92/202.79 [9656]~P83(x96562)+E(f318(f318(f8(f927(x96561,a918),x96562),f318(f8(x96561,x96562),x96563)),x96564),f318(f318(f8(x96561,x96562),x96563),f31(f927(x96561,a918),x96564)))+P1(f318(f318(f320(f927(x96561,a918)),f784(x96563,x96564,x96561,x96562)),x96564))+P1(f318(f318(f320(f927(x96561,a918)),f783(x96563,x96564,x96561,x96562)),x96564))+~P1(f318(f55(f927(x96561,a918)),x96564))
% 202.92/202.79 [9657]~P83(x96572)+E(f318(f318(f8(f927(x96571,a918),x96572),f318(f8(x96571,x96572),x96573)),x96574),f318(f318(f8(x96571,x96572),x96573),f31(f927(x96571,a918),x96574)))+P1(f318(f318(f320(f927(x96571,a918)),f784(x96573,x96574,x96571,x96572)),x96574))+P1(f318(f318(f320(f927(x96571,a918)),f782(x96573,x96574,x96571,x96572)),x96574))+~P1(f318(f55(f927(x96571,a918)),x96574))
% 202.92/202.79 [9675]~P83(x96752)+P1(f318(f318(f320(x96751),f785(x96753,x96754,x96751,x96752)),f783(x96753,x96754,x96751,x96752)))+~P1(f318(f55(x96751),f784(x96753,x96754,x96751,x96752)))+E(f318(f318(f8(f927(x96751,a918),x96752),f318(f8(x96751,x96752),x96753)),x96754),f318(f318(f8(x96751,x96752),x96753),f31(f927(x96751,a918),x96754)))+~P1(f318(f55(f927(x96751,a918)),x96754))
% 202.92/202.79 [9676]~P83(x96762)+P1(f318(f318(f320(x96761),f785(x96763,x96764,x96761,x96762)),f782(x96763,x96764,x96761,x96762)))+~P1(f318(f55(x96761),f784(x96763,x96764,x96761,x96762)))+E(f318(f318(f8(f927(x96761,a918),x96762),f318(f8(x96761,x96762),x96763)),x96764),f318(f318(f8(x96761,x96762),x96763),f31(f927(x96761,a918),x96764)))+~P1(f318(f55(f927(x96761,a918)),x96764))
% 202.92/202.79 [9689]P1(f318(x96891,x96892))+~P1(f318(f318(f320(x96893),f373(x96891,x96894,x96892,x96893)),f372(x96891,x96894,x96892,x96893)))+~P1(f318(f55(x96893),x96892))+~P1(f318(x96891,f179(f927(x96893,a918))))+~P1(f318(f318(f225(f927(x96893,a918)),x96892),x96894))
% 202.92/202.79 [9726]~P83(x97262)+P1(f318(f318(f320(x97261),f785(x97263,x97264,x97261,x97262)),f783(x97263,x97264,x97261,x97262)))+E(f318(f318(f8(f927(x97261,a918),x97262),f318(f8(x97261,x97262),x97263)),x97264),f318(f318(f8(x97261,x97262),x97263),f31(f927(x97261,a918),x97264)))+P1(f318(f318(f320(f927(x97261,a918)),f784(x97263,x97264,x97261,x97262)),x97264))+~P1(f318(f55(f927(x97261,a918)),x97264))
% 202.92/202.79 [9727]~P83(x97272)+P1(f318(f318(f320(x97271),f785(x97273,x97274,x97271,x97272)),f782(x97273,x97274,x97271,x97272)))+E(f318(f318(f8(f927(x97271,a918),x97272),f318(f8(x97271,x97272),x97273)),x97274),f318(f318(f8(x97271,x97272),x97273),f31(f927(x97271,a918),x97274)))+P1(f318(f318(f320(f927(x97271,a918)),f784(x97273,x97274,x97271,x97272)),x97274))+~P1(f318(f55(f927(x97271,a918)),x97274))
% 202.92/202.79 [9904]P1(f318(x99041,x99042))+~P1(f318(f55(x99043),x99042))+~P1(f318(x99041,f318(f318(f300(x99043),f373(x99041,x99044,x99042,x99043)),f372(x99041,x99044,x99042,x99043))))+~P1(f318(x99041,f179(f927(x99043,a918))))+~P1(f318(f318(f225(f927(x99043,a918)),x99042),x99044))
% 202.92/202.79 [7913]~P76(x79131)+P1(f318(f318(f226(x79131),x79132),f2(x79131)))+~P1(f318(f318(f225(x79131),f2(x79131)),x79134))+P1(f318(f318(f226(x79131),f2(x79131)),x79132))+P1(f318(f318(f225(x79131),f318(f318(f282(x79131),x79133),x79132)),x79134))
% 202.92/202.79 [7914]~P76(x79141)+P1(f318(f318(f226(x79141),x79142),f2(x79141)))+P1(f318(f318(f226(x79141),f2(x79141)),x79142))+~P1(f318(f318(f226(x79141),f2(x79141)),x79144))+P1(f318(f318(f226(x79141),f318(f318(f282(x79141),x79143),x79142)),x79144))
% 202.92/202.79 [8131]~P5(x81311)+~P42(x81311,x81311,x81314)+~E(x81313,f87(x81311,x81314))+P1(f318(f318(f225(x81311),x81312),x81313))+~P1(f318(f318(f225(x81311),x81312),f318(x81314,f318(f318(f101(x81311),x81312),x81313))))
% 202.92/202.79 [8196]~P1(f318(f318(f225(a1),x81964),f2(a1)))+~E(x81962,f318(f318(f73(a1),f318(f318(f74(a1),x81961),x81963)),x81964))+P1(f318(f318(f226(a1),f2(a1)),x81961))+~P1(f318(f318(f226(a1),x81961),x81964))+P1(f318(f43(x81962,x81961),f318(f318(f243(a1,a1),x81963),x81964)))
% 202.92/202.79 [8230]~P1(f318(x82301,x82304))+P1(f318(x82301,f329(x82302,x82301,x82303)))+~P1(f318(f318(f225(a1),f2(a1)),x82302))+~P1(f318(f318(f226(a1),f2(a1)),x82303))+P1(f318(x82301,f318(f318(f3(a1),x82304),f318(f318(f74(a1),x82302),x82303))))
% 202.92/202.79 [8231]~P1(f318(x82311,x82314))+P1(f318(x82311,f334(x82312,x82311,x82313)))+~P1(f318(f318(f225(a1),f2(a1)),x82312))+~P1(f318(f318(f226(a1),f2(a1)),x82313))+P1(f318(x82311,f318(f318(f73(a1),x82314),f318(f318(f74(a1),x82312),x82313))))
% 202.92/202.79 [8232]~P76(x82321)+P1(f318(f318(f226(x82321),x82322),f2(x82321)))+P1(f318(f318(f226(x82321),f2(x82321)),x82322))+P1(f318(f318(f225(x82321),f2(x82321)),x82323))+~P1(f318(f318(f225(x82321),f318(f318(f282(x82321),x82324),x82322)),x82323))
% 202.92/202.79 [8233]~P76(x82331)+P1(f318(f318(f226(x82331),x82332),f2(x82331)))+P1(f318(f318(f226(x82331),f2(x82331)),x82332))+P1(f318(f318(f226(x82331),f2(x82331)),x82333))+~P1(f318(f318(f226(x82331),f318(f318(f282(x82331),x82334),x82332)),x82333))
% 202.92/202.79 [8285]~E(x82851,f318(f318(f73(a1),f318(f318(f74(a1),x82852),x82853)),x82854))+~P1(f318(f318(f225(a1),f2(a1)),x82854))+~P1(f318(f318(f226(a1),f2(a1)),x82852))+~P1(f318(f318(f226(a1),x82854),x82852))+P1(f318(f43(x82851,x82852),f318(f318(f243(a1,a1),x82853),x82854)))
% 202.92/202.79 [8405]~P76(x84051)+P1(f318(f318(f226(x84051),x84052),f2(x84051)))+~P1(f318(f318(f225(x84051),f2(x84051)),x84054))+~P1(f318(f318(f225(x84051),x84053),f318(f318(f74(x84051),x84054),x84052)))+P1(f318(f318(f225(x84051),f318(f318(f282(x84051),x84053),x84052)),x84054))
% 202.92/202.79 [8406]~P76(x84061)+P1(f318(f318(f226(x84061),x84062),f2(x84061)))+~P1(f318(f318(f226(x84061),f2(x84061)),x84064))+~P1(f318(f318(f226(x84061),x84063),f318(f318(f74(x84061),x84064),x84062)))+P1(f318(f318(f226(x84061),f318(f318(f282(x84061),x84063),x84062)),x84064))
% 202.92/202.79 [8490]~P76(x84901)+P1(f318(f318(f226(x84901),x84902),f2(x84901)))+~P1(f318(f318(f225(x84901),x84903),f2(x84901)))+P1(f318(f318(f225(x84901),x84903),f318(f318(f282(x84901),x84904),x84902)))+~P1(f318(f318(f225(x84901),f318(f318(f74(x84901),x84903),x84902)),x84904))
% 202.92/202.79 [8491]~P76(x84911)+P1(f318(f318(f226(x84911),x84912),f2(x84911)))+~P1(f318(f318(f226(x84911),x84913),f2(x84911)))+P1(f318(f318(f226(x84911),x84913),f318(f318(f282(x84911),x84914),x84912)))+~P1(f318(f318(f226(x84911),f318(f318(f74(x84911),x84913),x84912)),x84914))
% 202.92/202.79 [8645]~P76(x86451)+~P1(f318(f318(f226(x86451),x86452),f2(x86451)))+P1(f318(f318(f226(x86451),f2(x86451)),x86452))+~P1(f318(f318(f225(x86451),f318(f318(f282(x86451),x86454),x86452)),x86453))+P1(f318(f318(f225(x86451),f318(f318(f74(x86451),x86453),x86452)),x86454))
% 202.92/202.79 [8646]~P76(x86461)+~P1(f318(f318(f226(x86461),x86462),f2(x86461)))+P1(f318(f318(f226(x86461),f2(x86461)),x86462))+~P1(f318(f318(f225(x86461),f318(f318(f74(x86461),x86464),x86462)),x86463))+P1(f318(f318(f225(x86461),f318(f318(f282(x86461),x86463),x86462)),x86464))
% 202.92/202.79 [8647]~P76(x86471)+~P1(f318(f318(f226(x86471),x86472),f2(x86471)))+P1(f318(f318(f226(x86471),f2(x86471)),x86472))+~P1(f318(f318(f226(x86471),f318(f318(f282(x86471),x86474),x86472)),x86473))+P1(f318(f318(f226(x86471),f318(f318(f74(x86471),x86473),x86472)),x86474))
% 202.92/202.79 [8648]~P76(x86481)+~P1(f318(f318(f226(x86481),x86482),f2(x86481)))+P1(f318(f318(f226(x86481),f2(x86481)),x86482))+~P1(f318(f318(f226(x86481),f318(f318(f74(x86481),x86484),x86482)),x86483))+P1(f318(f318(f226(x86481),f318(f318(f282(x86481),x86483),x86482)),x86484))
% 202.92/202.79 [8664]~P76(x86641)+~P1(f318(f318(f225(x86641),f2(x86641)),x86644))+P1(f318(f318(f226(x86641),f2(x86641)),x86642))+~P1(f318(f318(f225(x86641),f318(f318(f74(x86641),x86644),x86642)),x86643))+P1(f318(f318(f225(x86641),f318(f318(f282(x86641),x86643),x86642)),x86644))
% 202.92/202.79 [8665]~P76(x86651)+~P1(f318(f318(f226(x86651),f2(x86651)),x86654))+P1(f318(f318(f226(x86651),f2(x86651)),x86652))+~P1(f318(f318(f226(x86651),f318(f318(f74(x86651),x86654),x86652)),x86653))+P1(f318(f318(f226(x86651),f318(f318(f282(x86651),x86653),x86652)),x86654))
% 202.92/202.79 [8743]~P76(x87431)+~P1(f318(f318(f226(x87431),x87434),f2(x87431)))+~P1(f318(f318(f225(x87431),x87433),f318(f318(f74(x87431),x87432),x87434)))+P1(f318(f318(f225(x87431),x87432),f318(f318(f282(x87431),x87433),x87434)))+~P1(f318(f318(f225(x87431),f318(f318(f74(x87431),x87432),x87434)),x87433))
% 202.92/202.79 [8744]~P76(x87441)+~P1(f318(f318(f225(x87441),x87442),f2(x87441)))+~P1(f318(f318(f225(x87441),x87443),f318(f318(f74(x87441),x87442),x87444)))+P1(f318(f318(f225(x87441),x87442),f318(f318(f282(x87441),x87443),x87444)))+~P1(f318(f318(f225(x87441),f318(f318(f74(x87441),x87442),x87444)),x87443))
% 202.92/202.79 [8745]~P76(x87451)+~P1(f318(f318(f226(x87451),x87454),f2(x87451)))+~P1(f318(f318(f226(x87451),x87453),f318(f318(f74(x87451),x87452),x87454)))+P1(f318(f318(f226(x87451),x87452),f318(f318(f282(x87451),x87453),x87454)))+~P1(f318(f318(f226(x87451),f318(f318(f74(x87451),x87452),x87454)),x87453))
% 202.92/202.79 [8746]~P76(x87461)+~P1(f318(f318(f226(x87461),x87462),f2(x87461)))+~P1(f318(f318(f226(x87461),x87463),f318(f318(f74(x87461),x87462),x87464)))+P1(f318(f318(f226(x87461),x87462),f318(f318(f282(x87461),x87463),x87464)))+~P1(f318(f318(f226(x87461),f318(f318(f74(x87461),x87462),x87464)),x87463))
% 202.92/202.79 [8869]~P76(x88691)+~P1(f318(f318(f226(x88691),x88693),f2(x88691)))+~P1(f318(f318(f225(x88691),x88692),f318(f318(f74(x88691),x88694),x88693)))+~P1(f318(f318(f225(x88691),f318(f318(f74(x88691),x88694),x88693)),x88692))+P1(f318(f318(f225(x88691),f318(f318(f282(x88691),x88692),x88693)),x88694))
% 202.92/202.79 [8870]~P76(x88701)+~P1(f318(f318(f226(x88701),x88703),f2(x88701)))+~P1(f318(f318(f226(x88701),x88702),f318(f318(f74(x88701),x88704),x88703)))+~P1(f318(f318(f226(x88701),f318(f318(f74(x88701),x88704),x88703)),x88702))+P1(f318(f318(f226(x88701),f318(f318(f282(x88701),x88702),x88703)),x88704))
% 202.92/202.79 [8887]~P76(x88871)+~P1(f318(f318(f225(x88871),f2(x88871)),x88874))+~P1(f318(f318(f225(x88871),x88872),f318(f318(f74(x88871),x88874),x88873)))+~P1(f318(f318(f225(x88871),f318(f318(f74(x88871),x88874),x88873)),x88872))+P1(f318(f318(f225(x88871),f318(f318(f282(x88871),x88872),x88873)),x88874))
% 202.92/202.79 [8888]~P76(x88881)+~P1(f318(f318(f226(x88881),f2(x88881)),x88884))+~P1(f318(f318(f226(x88881),x88882),f318(f318(f74(x88881),x88884),x88883)))+~P1(f318(f318(f226(x88881),f318(f318(f74(x88881),x88884),x88883)),x88882))+P1(f318(f318(f226(x88881),f318(f318(f282(x88881),x88882),x88883)),x88884))
% 202.92/202.79 [9073]E(f318(f318(f3(a1),f915(x90731,x90732,x90733,x90734)),f916(x90731,x90732,x90733,x90734)),x90734)+~P1(f318(f318(f226(a1),f2(a1)),x90733))+~P1(f318(f318(f320(a1),x90732),x90731))+~P1(f318(f318(f226(a1),x90734),x90732))+P1(f318(f318(f226(a1),f318(f318(f73(a1),x90734),x90733)),x90732))
% 202.92/202.79 [9146]~P1(f318(x91461,x91462))+~P1(f318(f318(f225(a1),f2(a1)),x91463))+~P1(f318(f318(f226(a1),f2(a1)),x91464))+~P1(f318(x91461,f318(f318(f3(a1),f329(x91463,x91461,x91464)),x91464)))+P1(f318(x91461,f318(f318(f3(a1),x91462),f318(f318(f74(a1),x91463),x91464))))
% 202.92/202.79 [9147]~P1(f318(x91471,x91472))+~P1(f318(f318(f225(a1),f2(a1)),x91473))+~P1(f318(f318(f226(a1),f2(a1)),x91474))+~P1(f318(x91471,f318(f318(f73(a1),f334(x91473,x91471,x91474)),x91474)))+P1(f318(x91471,f318(f318(f73(a1),x91472),f318(f318(f74(a1),x91473),x91474))))
% 202.92/202.79 [9299]~P1(f318(f318(f226(a1),f2(a1)),x92993))+~P1(f318(f318(f320(a1),x92992),x92991))+~P1(f318(f318(f226(a1),x92994),x92992))+P1(f318(f318(f320(a1),f915(x92991,x92992,x92993,x92994)),x92991))+P1(f318(f318(f226(a1),f318(f318(f73(a1),x92994),x92993)),x92992))
% 202.92/202.79 [9318]E(f318(f318(f3(a1),f899(x93181,x93182,x93183,x93184)),f900(x93181,x93182,x93183,x93184)),x93184)+~P1(f318(f318(f226(a1),f2(a1)),x93183))+~P1(f318(f318(f225(a1),x93184),x93182))+~P1(f318(f318(f320(a1),f318(f318(f73(a1),x93182),f71(a1))),x93181))+P1(f318(f318(f225(a1),f318(f318(f73(a1),x93184),x93183)),x93182))
% 202.92/202.79 [9346]~P1(f318(f318(f226(a1),f2(a1)),x93462))+~P1(f318(f318(f320(a1),x93463),x93464))+~P1(f318(f318(f226(a1),x93461),x93463))+P1(f318(f318(f320(a1),f916(x93464,x93463,x93462,x93461)),f294(a1,f71(a1),x93462)))+P1(f318(f318(f226(a1),f318(f318(f73(a1),x93461),x93462)),x93463))
% 202.92/202.79 [9437]~P1(f318(f318(f226(a1),f2(a1)),x94373))+~P1(f318(f318(f225(a1),x94374),x94372))+P1(f318(f318(f320(a1),f899(x94371,x94372,x94373,x94374)),x94371))+~P1(f318(f318(f320(a1),f318(f318(f73(a1),x94372),f71(a1))),x94371))+P1(f318(f318(f225(a1),f318(f318(f73(a1),x94374),x94373)),x94372))
% 202.92/202.79 [9484]~P1(f318(f318(f226(a1),f2(a1)),x94842))+~P1(f318(f318(f225(a1),x94841),x94843))+P1(f318(f318(f320(a1),f900(x94844,x94843,x94842,x94841)),f294(a1,f71(a1),x94842)))+~P1(f318(f318(f320(a1),f318(f318(f73(a1),x94843),f71(a1))),x94844))+P1(f318(f318(f225(a1),f318(f318(f73(a1),x94841),x94842)),x94843))
% 202.92/202.79 [9780]~P39(x97801,x97803)+~P27(x97801,x97804)+P39(x97801,f318(f318(f101(f927(f926(x97801,x97801),a918)),x97802),x97803))+~P1(f318(f318(f225(f927(f926(x97801,x97801),a918)),x97802),f318(f242(f927(f926(x97801,x97801),a918),f927(f926(x97801,x97801),a918)),x97804)))+~P1(f318(f318(f225(f927(f926(x97801,x97801),a918)),x97803),f318(f247(f927(f926(x97801,x97801),a918),f927(f926(x97801,x97801),a918)),x97804)))
% 202.92/202.79 [10175]~P19(x101752,x101754,x101753)+E(x101751,f179(f927(x101752,a918)))+~P1(f318(f55(x101752),x101751))+P1(f318(f318(f320(x101752),f318(x101753,x101751)),x101751))+~P1(f318(f318(f320(x101752),f318(f318(x101754,f365(x101751,x101753,x101754,x101752)),f366(x101751,x101753,x101754,x101752))),f318(f318(f300(x101752),f365(x101751,x101753,x101754,x101752)),f318(f318(f300(x101752),f366(x101751,x101753,x101754,x101752)),f179(f927(x101752,a918))))))
% 202.92/202.79 [8771]~P5(x87711)+~P42(x87711,x87711,x87714)+~E(x87712,f86(x87711,x87714))+P1(f318(f318(f225(x87711),x87712),x87713))+~P1(f318(f318(f225(x87711),f318(x87714,f318(f318(f92(x87711),x87712),x87713))),x87713))
% 202.92/202.79 [10100]~P113(x101002)+~P73(x101001)+~P1(f318(f318(f225(f927(x101001,x101002)),x101003),x101004))+P1(f318(f318(f226(f927(x101001,x101002)),x101003),x101004))+~P1(f318(f50(x101001),f318(f318(f10(a918,a918,x101001),a313),f318(f318(f20(x101001,x101002,a918),f318(f318(f10(x101002,f927(x101002,a918),x101001),a315),x101003)),x101004))))
% 202.92/202.79 [5291]~P52(x52914,x52915,x52913)+E(x52911,x52912)+~P4(x52914)+~P113(x52915)+~E(f318(x52913,x52911),f318(x52913,x52912))
% 202.92/202.79 [9695]~P58(x96951,x96951,x96954)+P1(f318(f318(f320(f926(x96951,x96951)),f318(f318(f243(x96951,x96951),x96952),x96953)),f298(x96951,x96954)))+P1(f318(f318(f320(f926(x96951,x96951)),f318(f318(f243(x96951,x96951),x96953),x96952)),f298(x96951,x96954)))+~P1(f318(f318(f320(f926(x96951,x96951)),f318(f318(f243(x96951,x96951),x96955),x96952)),f298(x96951,x96954)))+~P1(f318(f318(f320(f926(x96951,x96951)),f318(f318(f243(x96951,x96951),x96955),x96953)),f298(x96951,x96954)))
% 202.92/202.79 [5779]E(x57791,f2(a920))+~E(f318(f29(x57792),x57795),x57791)+E(f318(f29(x57792),x57793),f318(a103,x57791))+~E(x57793,f318(f318(f300(x57792),x57794),x57795))+P1(f318(f318(f320(x57792),x57794),x57795))
% 202.92/202.79 [5902]~P75(x59022)+E(x59021,f2(x59022))+E(x59023,f2(x59022))+~E(f318(f318(f282(x59022),x59024),x59023),f318(f318(f282(x59022),x59025),x59021))+E(f318(f318(f74(x59022),x59024),x59021),f318(f318(f74(x59022),x59025),x59023))
% 202.92/202.79 [5903]~P75(x59032)+E(x59031,f2(x59032))+E(x59033,f2(x59032))+~E(f318(f318(f74(x59032),x59034),x59033),f318(f318(f74(x59032),x59035),x59031))+E(f318(f318(f282(x59032),x59034),x59031),f318(f318(f282(x59032),x59035),x59033))
% 202.92/202.79 [5972]~E(f318(f29(x59721),x59725),x59723)+~E(x59725,f179(f927(x59721,a918)))+E(f318(f29(x59721),x59722),f318(a103,x59723))+~E(x59722,f318(f318(f300(x59721),x59724),x59725))+P1(f318(f318(f320(x59721),x59724),x59725))
% 202.92/202.79 [6217]~P118(x62172)+~E(f318(x62173,x62175),f2(x62172))+E(f318(f318(f11(x62171,x62172),x62173),x62174),f2(x62172))+~P1(f318(f55(x62171),x62174))+~P1(f318(f318(f320(x62171),x62175),x62174))
% 202.92/202.79 [6595]~P4(x65953)+E(x65951,x65952)+~E(f318(f293(x65953,x65954),x65951),f318(f293(x65953,x65955),x65952))+~P1(f318(f318(f226(x65953),x65955),x65952))+~P1(f318(f318(f226(x65953),x65954),x65951))
% 202.92/202.79 [6596]~P4(x65963)+E(x65961,x65962)+~E(f318(f293(x65963,x65961),x65964),f318(f293(x65963,x65962),x65965))+~P1(f318(f318(f226(x65963),x65962),x65965))+~P1(f318(f318(f226(x65963),x65961),x65964))
% 202.92/202.79 [6763]~P113(x67631)+~P52(x67635,x67631,x67632)+~P4(x67635)+P1(f318(f318(f225(x67631),f318(x67632,x67633)),f318(x67632,x67634)))+~P1(f318(f318(f225(x67635),x67633),x67634))
% 202.92/202.79 [6764]~P113(x67641)+~P42(x67645,x67641,x67642)+~P113(x67645)+P1(f318(f318(f225(x67641),f318(x67642,x67643)),f318(x67642,x67644)))+~P1(f318(f318(f225(x67645),x67643),x67644))
% 202.92/202.79 [6765]~P113(x67651)+~P52(x67655,x67651,x67652)+~P4(x67655)+P1(f318(f318(f226(x67651),f318(x67652,x67653)),f318(x67652,x67654)))+~P1(f318(f318(f226(x67655),x67653),x67654))
% 202.92/202.79 [6766]~P113(x67661)+~P52(x67665,x67661,x67662)+~P113(x67665)+P1(f318(f318(f226(x67661),f318(x67662,x67663)),f318(x67662,x67664)))+~P1(f318(f318(f226(x67665),x67663),x67664))
% 202.92/202.79 [7020]~P4(x70201)+~P52(x70201,x70204,x70205)+~P113(x70204)+~P1(f318(f318(f225(x70204),f318(x70205,x70202)),f318(x70205,x70203)))+P1(f318(f318(f225(x70201),x70202),x70203))
% 202.92/202.79 [7021]~P4(x70211)+~P52(x70211,x70214,x70215)+~P113(x70214)+~P1(f318(f318(f226(x70214),f318(x70215,x70212)),f318(x70215,x70213)))+P1(f318(f318(f226(x70211),x70212),x70213))
% 202.92/202.79 [7677]~P4(x76771)+~P13(x76771,f318(f318(f125(x76771),x76774),x76775))+~P1(f318(f318(f320(x76771),x76773),f318(f163(x76771),x76775)))+~P1(f318(f318(f320(x76771),x76772),f318(f163(x76771),x76774)))+P1(f318(f318(f225(x76771),x76772),x76773))
% 202.92/202.79 [8781]~P113(x87811)+~P1(f318(f318(f226(f927(x87811,a918)),f294(x87811,x87815,x87812)),f294(x87811,x87814,x87813)))+~P1(f318(f318(f225(x87811),x87815),x87812))+P1(f318(f318(f226(x87811),x87812),x87813))+P1(f318(f318(f226(x87811),x87814),x87815))
% 202.92/202.79 [9816]~P42(f927(x98164,a918),f927(x98164,a918),x98165)+P1(f318(x98161,x98162))+~E(x98163,f86(f927(x98164,a918),x98165))+~P1(f318(x98161,f612(x98161,x98162,x98165,x98164,x98163)))+~P1(f318(f318(f320(x98164),x98162),x98163))
% 202.92/202.79 [10218]~P18(x102182,x102185,x102183)+E(x102181,f179(f927(x102182,a918)))+~E(f318(f318(x102185,f318(x102184,f400(x102181,x102184,x102183,x102185,x102182))),f318(x102184,f401(x102181,x102184,x102183,x102185,x102182))),f318(x102184,f318(f318(x102185,f400(x102181,x102184,x102183,x102185,x102182)),f401(x102181,x102184,x102183,x102185,x102182))))+E(f318(x102183,f318(f301(x102182,x102182,x102184),x102181)),f318(x102184,f318(x102183,x102181)))+~P1(f318(f55(x102182),x102181))
% 202.92/202.79 [6592]~P19(x65922,x65925,x65923)+E(x65921,f179(f927(x65922,a918)))+~P1(f318(f55(x65922),x65921))+E(f318(x65923,f318(f318(f300(x65922),x65924),x65921)),f318(f318(x65925,x65924),f318(x65923,x65921)))+P1(f318(f318(f320(x65922),x65924),x65921))
% 202.92/202.79 [7441]~P18(x74412,x74413,x74414)+E(f318(f318(x74413,f318(x74414,x74411)),f318(x74414,x74415)),f318(x74414,x74415))+E(x74411,f179(f927(x74412,a918)))+~P1(f318(f55(x74412),x74415))+~P1(f318(f318(f225(f927(x74412,a918)),x74411),x74415))
% 202.92/202.79 [7812]~P19(x78124,x78125,x78121)+E(f318(x78121,x78122),x78123)+~P1(f318(f55(x78124),x78122))+~E(f318(f318(f3(f927(x78124,a918)),x78122),f318(f318(f300(x78124),x78123),f179(f927(x78124,a918)))),f179(f927(x78124,a918)))+~P1(f318(f318(f320(x78124),x78123),x78122))
% 202.92/202.79 [8750]E(x87501,x87502)+~P8(x87503,x87504,x87505)+E(f318(f318(f92(f927(x87503,a918)),x87501),x87502),f179(f927(x87503,a918)))+~P1(f318(f318(f320(f927(x87503,a918)),x87502),f318(f318(f54(x87503),x87504),x87505)))+~P1(f318(f318(f320(f927(x87503,a918)),x87501),f318(f318(f54(x87503),x87504),x87505)))
% 202.92/202.79 [9568]~P84(x95682)+~E(f318(x95683,f407(x95683,x95684,x95685,x95681,x95682)),f71(x95682))+E(f318(f318(f11(x95681,x95682),x95683),x95684),f318(f318(f11(x95681,x95682),x95683),x95685))+~P1(f318(f55(x95681),x95685))+~P1(f318(f318(f225(f927(x95681,a918)),x95684),x95685))
% 202.92/202.79 [9569]~P84(x95692)+~E(f318(x95693,f411(x95693,x95694,x95695,x95691,x95692)),f71(x95692))+E(f318(f318(f11(x95691,x95692),x95693),x95694),f318(f318(f11(x95691,x95692),x95693),x95695))+~P1(f318(f55(x95691),x95695))+~P1(f318(f318(f225(f927(x95691,a918)),x95694),x95695))
% 202.92/202.79 [9570]~P83(x95702)+~E(f318(x95703,f420(x95703,x95704,x95705,x95701,x95702)),f2(x95702))+E(f318(f318(f8(x95701,x95702),x95703),x95704),f318(f318(f8(x95701,x95702),x95703),x95705))+~P1(f318(f55(x95701),x95705))+~P1(f318(f318(f225(f927(x95701,a918)),x95704),x95705))
% 202.92/202.79 [9571]~P83(x95712)+~E(f318(x95713,f426(x95713,x95714,x95715,x95711,x95712)),f2(x95712))+E(f318(f318(f8(x95711,x95712),x95713),x95714),f318(f318(f8(x95711,x95712),x95713),x95715))+~P1(f318(f55(x95711),x95715))+~P1(f318(f318(f225(f927(x95711,a918)),x95714),x95715))
% 202.92/202.79 [9996]~P42(f927(x99961,a918),f927(x99961,a918),f318(f318(f10(f927(x99961,a918),f927(x99961,a918),f927(x99961,a918)),f253(x99961)),x99964))+~P1(f318(f318(x99964,f318(f318(f101(f927(x99961,a918)),x99965),x99963)),f611(x99965,x99962,x99964,x99961,x99963)))+~E(x99963,f87(f927(x99961,a918),f318(f318(f10(f927(x99961,a918),f927(x99961,a918),f927(x99961,a918)),f253(x99961)),x99964)))+P1(f318(f318(f320(x99961),x99962),x99963))+~P1(f318(f318(f320(x99961),x99962),x99965))
% 202.92/202.79 [10001]~P42(f927(x100011,a918),f927(x100011,a918),f318(f318(f10(f927(x100011,a918),f927(x100011,a918),f927(x100011,a918)),f253(x100011)),x100015))+~E(x100013,f87(f927(x100011,a918),f318(f318(f10(f927(x100011,a918),f927(x100011,a918),f927(x100011,a918)),f253(x100011)),x100015)))+~P1(f318(f318(f320(x100011),x100012),x100014))+P1(f318(f318(f320(x100011),f611(x100014,x100012,x100015,x100011,x100013)),x100014))+P1(f318(f318(f320(x100011),x100012),x100013))
% 202.92/202.79 [10053]~P95(x100531)+~P1(f318(f55(x100532),x100535))+~P1(f318(f318(f225(x100531),f2(x100531)),f318(x100533,f423(x100533,x100534,x100535,x100532,x100531))))+P1(f318(f318(f225(x100531),f318(f318(f8(x100532,x100531),x100533),x100534)),f318(f318(f8(x100532,x100531),x100533),x100535)))+~P1(f318(f318(f225(f927(x100532,a918)),x100534),x100535))
% 202.92/202.79 [7674]E(x76741,f2(a920))+P1(f318(x76742,x76743))+~E(x76744,f318(f318(f73(a920),f318(f318(f74(a920),x76741),x76743)),x76745))+~P1(f318(f318(f226(a920),x76745),x76741))+~P1(f318(x76742,f318(f318(f30(a920),x76744),x76741)))
% 202.92/202.79 [7750]E(x77501,f2(a920))+P1(f318(x77502,x77503))+~P1(f318(x77502,f39(a920,x77504,x77501)))+~E(x77504,f318(f318(f73(a920),f318(f318(f74(a920),x77501),x77505)),x77503))+~P1(f318(f318(f226(a920),x77503),x77501))
% 202.92/202.79 [8044]~P75(x80443)+E(f318(x80441,x80442),f2(x80443))+~P1(f318(f55(x80444),x80445))+E(f318(f318(f11(x80444,x80443),x80441),f318(f318(f3(f927(x80444,a918)),x80445),f318(f318(f300(x80444),x80442),f179(f927(x80444,a918))))),f318(f318(f11(x80444,x80443),x80441),x80445))+P1(f318(f318(f320(x80444),x80442),x80445))
% 202.92/202.79 [8446]~P84(x84461)+~P1(f318(f55(x84462),x84465))+~P1(f318(f55(x84462),x84464))+~E(f318(f318(f92(f927(x84462,a918)),x84464),x84465),f179(f927(x84462,a918)))+E(f318(f318(f74(x84461),f318(f318(f11(x84462,x84461),x84463),x84464)),f318(f318(f11(x84462,x84461),x84463),x84465)),f318(f318(f11(x84462,x84461),x84463),f318(f318(f101(f927(x84462,a918)),x84464),x84465)))
% 202.92/202.79 [8447]~P83(x84471)+~P1(f318(f55(x84472),x84475))+~P1(f318(f55(x84472),x84474))+~E(f318(f318(f92(f927(x84472,a918)),x84474),x84475),f179(f927(x84472,a918)))+E(f318(f318(f73(x84471),f318(f318(f8(x84472,x84471),x84473),x84474)),f318(f318(f8(x84472,x84471),x84473),x84475)),f318(f318(f8(x84472,x84471),x84473),f318(f318(f101(f927(x84472,a918)),x84474),x84475)))
% 202.92/202.79 [8546]~P75(x85463)+E(f318(x85461,x85462),f2(x85463))+~P1(f318(f55(x85464),x85465))+E(f318(f318(f11(x85464,x85463),x85461),f318(f318(f3(f927(x85464,a918)),x85465),f318(f318(f300(x85464),x85462),f179(f927(x85464,a918))))),f318(f318(f282(x85463),f318(f318(f11(x85464,x85463),x85461),x85465)),f318(x85461,x85462)))+~P1(f318(f318(f320(x85464),x85462),x85465))
% 202.92/202.79 [9276]~P8(x92761,x92765,x92764)+~E(f318(f318(f54(x92761),f318(f318(f300(x92761),x92762),f179(f927(x92761,a918)))),x92764),f318(f318(f54(x92761),f318(f318(f300(x92761),x92763),f179(f927(x92761,a918)))),x92764))+~P1(f318(f318(f320(x92761),x92763),x92765))+~P1(f318(f318(f320(x92761),x92762),x92765))+P1(f318(f318(f320(f926(x92761,x92761)),f318(f318(f243(x92761,x92761),x92762),x92763)),x92764))
% 202.92/202.79 [9298]~P8(x92981,x92985,x92983)+E(f318(f318(f54(x92981),f318(f318(f300(x92981),x92982),f179(f927(x92981,a918)))),x92983),f318(f318(f54(x92981),f318(f318(f300(x92981),x92984),f179(f927(x92981,a918)))),x92983))+~P1(f318(f318(f320(x92981),x92984),x92985))+~P1(f318(f318(f320(x92981),x92982),x92985))+~P1(f318(f318(f320(f926(x92981,x92981)),f318(f318(f243(x92981,x92981),x92982),x92984)),x92983))
% 202.92/202.79 [9597]~P84(x95971)+~P1(f318(f55(x95972),x95975))+~P1(f318(f55(x95972),x95974))+~E(f318(f318(f92(f927(x95972,a918)),x95974),x95975),f179(f927(x95972,a918)))+E(f318(f318(f74(x95971),f318(f318(f318(f59(x95971,x95972,f74(x95971)),x95973),f71(x95971)),x95974)),f318(f318(f318(f59(x95971,x95972,f74(x95971)),x95973),f71(x95971)),x95975)),f318(f318(f318(f59(x95971,x95972,f74(x95971)),x95973),f71(x95971)),f318(f318(f101(f927(x95972,a918)),x95974),x95975)))
% 202.92/202.79 [9608]~P84(x96081)+~E(f318(x96083,f408(x96083,x96085,x96084,x96082,x96081)),f71(x96081))+~P1(f318(f55(x96082),x96084))+~P1(f318(f55(x96082),x96085))+E(f318(f318(f74(x96081),f318(f318(f11(x96082,x96081),x96083),x96084)),f318(f318(f11(x96082,x96081),x96083),x96085)),f318(f318(f11(x96082,x96081),x96083),f318(f318(f101(f927(x96082,a918)),x96084),x96085)))
% 202.92/202.79 [9609]~P84(x96091)+~E(f318(x96093,f410(x96093,x96095,x96094,x96092,x96091)),f71(x96091))+~P1(f318(f55(x96092),x96094))+~P1(f318(f55(x96092),x96095))+E(f318(f318(f74(x96091),f318(f318(f11(x96092,x96091),x96093),x96094)),f318(f318(f11(x96092,x96091),x96093),x96095)),f318(f318(f11(x96092,x96091),x96093),f318(f318(f101(f927(x96092,a918)),x96094),x96095)))
% 202.92/202.79 [9610]~P83(x96101)+~E(f318(x96103,f421(x96103,x96105,x96104,x96102,x96101)),f2(x96101))+~P1(f318(f55(x96102),x96104))+~P1(f318(f55(x96102),x96105))+E(f318(f318(f73(x96101),f318(f318(f8(x96102,x96101),x96103),x96104)),f318(f318(f8(x96102,x96101),x96103),x96105)),f318(f318(f8(x96102,x96101),x96103),f318(f318(f101(f927(x96102,a918)),x96104),x96105)))
% 202.92/202.79 [9611]~P83(x96111)+~E(f318(x96113,f424(x96113,x96115,x96114,x96112,x96111)),f2(x96111))+~P1(f318(f55(x96112),x96114))+~P1(f318(f55(x96112),x96115))+E(f318(f318(f73(x96111),f318(f318(f8(x96112,x96111),x96113),x96114)),f318(f318(f8(x96112,x96111),x96113),x96115)),f318(f318(f8(x96112,x96111),x96113),f318(f318(f101(f927(x96112,a918)),x96114),x96115)))
% 202.92/202.79 [9824]~P84(x98241)+~E(f318(x98243,f364(x98243,x98245,x98244,x98242,x98241)),f71(x98241))+~P1(f318(f55(x98242),x98244))+~P1(f318(f55(x98242),x98245))+E(f318(f318(f74(x98241),f318(f318(f318(f59(x98241,x98242,f74(x98241)),x98243),f71(x98241)),x98244)),f318(f318(f318(f59(x98241,x98242,f74(x98241)),x98243),f71(x98241)),x98245)),f318(f318(f318(f59(x98241,x98242,f74(x98241)),x98243),f71(x98241)),f318(f318(f101(f927(x98242,a918)),x98244),x98245)))
% 202.92/202.79 [9936]~P84(x99362)+E(f318(f318(f11(x99361,x99362),x99363),x99364),f318(f318(f11(x99361,x99362),x99363),x99365))+~P1(f318(f55(x99361),x99365))+~P1(f318(f318(f225(f927(x99361,a918)),x99364),x99365))+P1(f318(f318(f320(x99361),f407(x99363,x99364,x99365,x99361,x99362)),f318(f318(f3(f927(x99361,a918)),x99365),x99364)))
% 202.92/202.79 [9937]~P84(x99372)+E(f318(f318(f11(x99371,x99372),x99373),x99374),f318(f318(f11(x99371,x99372),x99373),x99375))+~P1(f318(f55(x99371),x99375))+~P1(f318(f318(f225(f927(x99371,a918)),x99374),x99375))+P1(f318(f318(f320(x99371),f411(x99373,x99374,x99375,x99371,x99372)),f318(f318(f3(f927(x99371,a918)),x99375),x99374)))
% 202.92/202.79 [9938]~P83(x99382)+E(f318(f318(f8(x99381,x99382),x99383),x99384),f318(f318(f8(x99381,x99382),x99383),x99385))+~P1(f318(f55(x99381),x99385))+~P1(f318(f318(f225(f927(x99381,a918)),x99384),x99385))+P1(f318(f318(f320(x99381),f420(x99383,x99384,x99385,x99381,x99382)),f318(f318(f3(f927(x99381,a918)),x99385),x99384)))
% 202.92/202.79 [9939]~P83(x99392)+E(f318(f318(f8(x99391,x99392),x99393),x99394),f318(f318(f8(x99391,x99392),x99393),x99395))+~P1(f318(f55(x99391),x99395))+~P1(f318(f318(f225(f927(x99391,a918)),x99394),x99395))+P1(f318(f318(f320(x99391),f426(x99393,x99394,x99395,x99391,x99392)),f318(f318(f3(f927(x99391,a918)),x99395),x99394)))
% 202.92/202.79 [9957]~P84(x99571)+~P1(f318(f55(x99572),x99574))+~P1(f318(f55(x99572),x99575))+E(f318(f318(f74(x99571),f318(f318(f11(x99572,x99571),x99573),x99574)),f318(f318(f11(x99572,x99571),x99573),x99575)),f318(f318(f11(x99572,x99571),x99573),f318(f318(f101(f927(x99572,a918)),x99574),x99575)))+P1(f318(f318(f320(x99572),f408(x99573,x99575,x99574,x99572,x99571)),f318(f318(f92(f927(x99572,a918)),x99574),x99575)))
% 202.92/202.79 [9958]~P84(x99581)+~P1(f318(f55(x99582),x99584))+~P1(f318(f55(x99582),x99585))+E(f318(f318(f74(x99581),f318(f318(f11(x99582,x99581),x99583),x99584)),f318(f318(f11(x99582,x99581),x99583),x99585)),f318(f318(f11(x99582,x99581),x99583),f318(f318(f101(f927(x99582,a918)),x99584),x99585)))+P1(f318(f318(f320(x99582),f410(x99583,x99585,x99584,x99582,x99581)),f318(f318(f92(f927(x99582,a918)),x99584),x99585)))
% 202.92/202.79 [9959]~P83(x99591)+~P1(f318(f55(x99592),x99594))+~P1(f318(f55(x99592),x99595))+E(f318(f318(f73(x99591),f318(f318(f8(x99592,x99591),x99593),x99594)),f318(f318(f8(x99592,x99591),x99593),x99595)),f318(f318(f8(x99592,x99591),x99593),f318(f318(f101(f927(x99592,a918)),x99594),x99595)))+P1(f318(f318(f320(x99592),f421(x99593,x99595,x99594,x99592,x99591)),f318(f318(f92(f927(x99592,a918)),x99594),x99595)))
% 202.92/202.79 [9960]~P83(x99601)+~P1(f318(f55(x99602),x99604))+~P1(f318(f55(x99602),x99605))+E(f318(f318(f73(x99601),f318(f318(f8(x99602,x99601),x99603),x99604)),f318(f318(f8(x99602,x99601),x99603),x99605)),f318(f318(f8(x99602,x99601),x99603),f318(f318(f101(f927(x99602,a918)),x99604),x99605)))+P1(f318(f318(f320(x99602),f424(x99603,x99605,x99604,x99602,x99601)),f318(f318(f92(f927(x99602,a918)),x99604),x99605)))
% 202.92/202.79 [9963]~P42(f927(x99633,a918),f927(x99633,a918),x99634)+P1(f318(x99631,x99632))+~E(x99635,f86(f927(x99633,a918),x99634))+~P1(f318(f318(f320(x99633),x99632),x99635))+P1(f318(f318(f320(x99633),f612(x99631,x99632,x99634,x99633,x99635)),f318(x99634,f318(f318(f92(f927(x99633,a918)),x99635),f318(f253(x99633),x99631)))))
% 202.92/202.79 [9967]~P95(x99675)+~P1(f318(f55(x99671),x99674))+P1(f318(f318(f225(x99675),f318(f318(f8(x99671,x99675),x99672),x99673)),f318(f318(f8(x99671,x99675),x99672),x99674)))+~P1(f318(f318(f225(f927(x99671,a918)),x99673),x99674))+P1(f318(f318(f320(x99671),f423(x99672,x99673,x99674,x99671,x99675)),f318(f318(f3(f927(x99671,a918)),x99674),x99673)))
% 202.92/202.79 [10015]~P84(x100151)+~P1(f318(f55(x100152),x100154))+~P1(f318(f55(x100152),x100155))+E(f318(f318(f74(x100151),f318(f318(f318(f59(x100151,x100152,f74(x100151)),x100153),f71(x100151)),x100154)),f318(f318(f318(f59(x100151,x100152,f74(x100151)),x100153),f71(x100151)),x100155)),f318(f318(f318(f59(x100151,x100152,f74(x100151)),x100153),f71(x100151)),f318(f318(f101(f927(x100152,a918)),x100154),x100155)))+P1(f318(f318(f320(x100152),f364(x100153,x100155,x100154,x100152,x100151)),f318(f318(f92(f927(x100152,a918)),x100154),x100155)))
% 202.92/202.79 [8960]~P19(x89601,x89604,x89605)+~P1(f318(f55(x89601),x89602))+E(f318(f318(f3(f927(x89601,a918)),x89602),f318(f318(f300(x89601),x89603),f179(f927(x89601,a918)))),f179(f927(x89601,a918)))+~P1(f318(f318(f320(x89601),x89603),x89602))+E(f318(f318(x89604,x89603),f318(x89605,f318(f318(f3(f927(x89601,a918)),x89602),f318(f318(f300(x89601),x89603),f179(f927(x89601,a918)))))),f318(x89605,x89602))
% 202.92/202.79 [9039]~P19(x90391,x90394,x90395)+~P1(f318(f55(x90391),x90393))+~P1(f318(f55(x90391),x90392))+E(f318(f318(f92(f927(x90391,a918)),x90392),x90393),f179(f927(x90391,a918)))+E(f318(f318(x90394,f318(x90395,f318(f318(f101(f927(x90391,a918)),x90392),x90393))),f318(x90395,f318(f318(f92(f927(x90391,a918)),x90392),x90393))),f318(f318(x90394,f318(x90395,x90392)),f318(x90395,x90393)))
% 202.92/202.79 [9225]~P42(f927(x92251,a918),f927(x92251,a918),x92254)+~E(x92253,f87(f927(x92251,a918),x92254))+P1(f318(f318(f320(x92251),x92252),x92253))+~P1(f318(f318(f320(x92251),x92252),x92255))+~P1(f318(f318(f225(f927(x92251,a918)),x92255),f318(x92254,f318(f318(f101(f927(x92251,a918)),x92255),x92253))))
% 202.92/202.79 [9613]~P1(f318(f318(f225(a1),x96134),f2(a1)))+~P1(f318(f318(f226(a1),x96133),x96135))+P1(f318(f318(f225(a1),x96131),x96132))+~P1(f318(f318(f226(a1),x96133),x96134))+~P1(f318(f318(f225(a1),f318(f318(f73(a1),f318(f318(f74(a1),x96133),x96132)),x96135)),f318(f318(f73(a1),f318(f318(f74(a1),x96133),x96131)),x96134)))
% 202.92/202.79 [9615]~P1(f318(f318(f225(a1),f2(a1)),x96155))+P1(f318(f318(f225(a1),x96151),x96152))+~P1(f318(f318(f226(a1),x96153),x96154))+~P1(f318(f318(f226(a1),x96155),x96154))+~P1(f318(f318(f225(a1),f318(f318(f73(a1),f318(f318(f74(a1),x96154),x96151)),x96155)),f318(f318(f73(a1),f318(f318(f74(a1),x96154),x96152)),x96153)))
% 202.92/202.79 [9732]~P75(x97325)+E(f318(x97321,f409(x97321,x97322,x97323,x97324,x97325)),f2(x97325))+~P1(f318(f55(x97324),x97323))+~P1(f318(f55(x97324),x97322))+E(f318(f318(f282(x97325),f318(f318(f74(x97325),f318(f318(f11(x97324,x97325),x97321),x97323)),f318(f318(f11(x97324,x97325),x97321),x97322))),f318(f318(f11(x97324,x97325),x97321),f318(f318(f92(f927(x97324,a918)),x97323),x97322))),f318(f318(f11(x97324,x97325),x97321),f318(f318(f101(f927(x97324,a918)),x97323),x97322)))
% 202.92/202.79 [10007]~P75(x100071)+~P1(f318(f55(x100072),x100074))+~P1(f318(f55(x100072),x100075))+E(f318(f318(f282(x100071),f318(f318(f74(x100071),f318(f318(f11(x100072,x100071),x100073),x100074)),f318(f318(f11(x100072,x100071),x100073),x100075))),f318(f318(f11(x100072,x100071),x100073),f318(f318(f92(f927(x100072,a918)),x100074),x100075))),f318(f318(f11(x100072,x100071),x100073),f318(f318(f101(f927(x100072,a918)),x100074),x100075)))+P1(f318(f318(f320(x100072),f409(x100073,x100075,x100074,x100072,x100071)),f318(f318(f92(f927(x100072,a918)),x100074),x100075)))
% 202.92/202.79 [9317]E(f318(f318(f125(x93171),x93172),x93173),f318(f318(f125(x93171),x93174),x93175))+~E(f318(f318(f166(x93171),f318(f180(f921(x93171)),x93174)),x93172),x93174)+~E(f318(f318(f166(x93171),f318(f180(f921(x93171)),x93172)),x93174),x93172)+~E(x93175,f318(f318(f125(x93171),f318(f318(f129(x93171),f318(f180(f921(x93171)),x93174)),x93172)),x93173))+~E(f318(f318(f125(x93171),f318(f318(f129(x93171),f318(f180(f921(x93171)),x93172)),x93174)),x93175),x93173)
% 202.92/202.79 [9730]~P4(x97302)+E(f318(f318(f139(x97301,x97302,x97303),x97304),f161(x97301,x97304,x97305)),x97305)+~P13(x97302,f318(f318(f145(x97301,x97302),x97303),x97305))+~P1(f318(f318(f320(x97301),x97304),f318(f163(x97301),x97305)))+~E(f318(f132(x97301),f318(f127(x97301,f318(f318(f10(x97302,a918,x97301),f318(a315,f318(x97303,x97304))),x97303)),x97305)),x97304)
% 202.92/202.79 [10071]~P78(x100711)+~P1(f318(f60(x100711,x100711,f74(x100711),x100712,x100713),x100715))+~P1(f318(f318(f320(x100711),x100714),x100713))+P1(f318(f318(f320(x100711),x100712),x100713))+P1(f318(f60(x100711,x100711,f74(x100711),x100714,f318(f318(f300(x100711),x100712),f318(f318(f3(f927(x100711,a918)),x100713),f318(f318(f300(x100711),x100714),f179(f927(x100711,a918)))))),x100715))
% 202.92/202.79 [10431]~P42(f927(x104311,a918),f927(x104311,a918),x104314)+~E(x104313,f87(f927(x104311,a918),x104314))+P1(f318(f318(f320(x104311),x104312),x104313))+~P1(f318(f318(f320(x104311),x104312),x104315))+~P1(f318(f318(f225(f927(x104311,a918)),x104315),f318(x104314,f86(f927(x104311,a918),f318(f318(f9(f927(x104311,a918),f927(x104311,a918),f927(x104311,a918)),f318(f318(f10(f927(x104311,a918),f927(f927(x104311,a918),f927(x104311,a918)),f927(x104311,a918)),f101(f927(x104311,a918))),f318(f318(f9(f927(x104311,a918),f927(x104311,a918),f927(x104311,a918)),f318(f318(f10(f927(x104311,a918),f927(f927(x104311,a918),f927(x104311,a918)),f927(x104311,a918)),f101(f927(x104311,a918))),x104314)),x104315))),x104313)))))
% 202.92/202.79 [7449]E(x74491,x74492)+~P25(x74494,x74495,x74493,x74496)+~E(f318(x74493,x74491),f318(x74493,x74492))+~P1(f318(f318(f320(x74494),x74492),x74496))+~P1(f318(f318(f320(x74494),x74491),x74496))
% 202.92/202.79 [6686]~P149(x66864)+E(x66861,x66862)+~E(x66865,x66866)+E(x66863,f2(x66864))+~E(f318(f318(f73(x66864),x66865),f318(f318(f74(x66864),x66863),x66861)),f318(f318(f73(x66864),x66866),f318(f318(f74(x66864),x66863),x66862)))
% 202.92/202.79 [7730]~P4(x77301)+~P5(x77301)+~P1(f318(f318(f226(x77301),x77302),f318(x77305,x77306)))+~P1(f318(f318(f320(x77303),x77306),x77304))+P1(f318(f318(f226(x77301),x77302),f318(f318(f33(x77303,x77301),x77304),x77305)))
% 202.92/202.79 [10067]~P25(x100672,x100671,x100673,x100674)+~P25(x100671,x100672,x100676,x100675)+P26(x100671,x100672,f831(x100673,x100674,x100675,x100676,x100672,x100671),x100675,x100674)+~P1(f318(f318(f225(f927(x100672,a918)),f318(f301(x100671,x100672,x100676),x100675)),x100674))+~P1(f318(f318(f225(f927(x100671,a918)),f318(f301(x100672,x100671,x100673),x100674)),x100675))
% 202.92/202.79 [8416]~P4(x84161)+~P5(x84161)+~P1(f318(f318(f226(x84161),f318(x84164,x84166)),x84165))+~P1(f318(f318(f320(x84162),x84166),x84163))+P1(f318(f318(f226(x84161),f318(f318(f34(x84162,x84161),x84163),x84164)),x84165))
% 202.92/202.79 [8671]~P20(x86712,x86715,x86716,x86711)+~P1(f318(f55(x86712),x86714))+~P1(f318(f55(x86712),x86713))+~E(f318(f318(f92(f927(x86712,a918)),x86713),x86714),f179(f927(x86712,a918)))+E(f318(x86711,f318(f318(f101(f927(x86712,a918)),x86713),x86714)),f318(f66(x86715,x86715,x86715,f318(x86711,x86713)),f318(x86711,x86714)))
% 202.92/202.79 [10278]~P84(x102781)+~E(f818(x102784,x102785,x102783,x102786,x102782,x102781),f819(x102784,x102785,x102783,x102786,x102782,x102781))+~P1(f318(f55(x102782),x102786))+E(f318(f318(f318(f59(x102781,x102782,f74(x102781)),f318(f318(f10(f927(x102783,a918),x102781,x102782),f318(f318(f59(x102781,x102783,f74(x102781)),x102784),f71(x102781))),x102785)),f71(x102781)),x102786),f318(f318(f318(f59(x102781,x102783,f74(x102781)),x102784),f71(x102781)),f318(f318(f33(x102782,f927(x102783,a918)),x102786),x102785)))+P1(f318(f318(f320(x102782),f817(x102784,x102785,x102783,x102786,x102782,x102781)),x102786))
% 202.92/202.79 [10308]~P84(x103081)+~E(f818(x103084,x103085,x103083,x103086,x103082,x103081),f819(x103084,x103085,x103083,x103086,x103082,x103081))+~P1(f318(f55(x103082),x103086))+E(f318(f318(f318(f59(x103081,x103082,f74(x103081)),f318(f318(f10(f927(x103083,a918),x103081,x103082),f318(f318(f59(x103081,x103083,f74(x103081)),x103084),f71(x103081))),x103085)),f71(x103081)),x103086),f318(f318(f318(f59(x103081,x103083,f74(x103081)),x103084),f71(x103081)),f318(f318(f33(x103082,f927(x103083,a918)),x103086),x103085)))+~P1(f318(f55(x103083),f318(x103085,f817(x103084,x103085,x103083,x103086,x103082,x103081))))
% 202.92/202.79 [10311]~P84(x103111)+~P1(f318(f55(x103112),x103116))+E(f318(f318(f318(f59(x103111,x103112,f74(x103111)),f318(f318(f10(f927(x103113,a918),x103111,x103112),f318(f318(f59(x103111,x103113,f74(x103111)),x103114),f71(x103111))),x103115)),f71(x103111)),x103116),f318(f318(f318(f59(x103111,x103113,f74(x103111)),x103114),f71(x103111)),f318(f318(f33(x103112,f927(x103113,a918)),x103116),x103115)))+P1(f318(f318(f320(x103112),f817(x103114,x103115,x103113,x103116,x103112,x103111)),x103116))+P1(f318(f318(f320(x103112),f819(x103114,x103115,x103113,x103116,x103112,x103111)),x103116))
% 202.92/202.79 [10312]~P84(x103121)+~P1(f318(f55(x103122),x103126))+E(f318(f318(f318(f59(x103121,x103122,f74(x103121)),f318(f318(f10(f927(x103123,a918),x103121,x103122),f318(f318(f59(x103121,x103123,f74(x103121)),x103124),f71(x103121))),x103125)),f71(x103121)),x103126),f318(f318(f318(f59(x103121,x103123,f74(x103121)),x103124),f71(x103121)),f318(f318(f33(x103122,f927(x103123,a918)),x103126),x103125)))+P1(f318(f318(f320(x103122),f817(x103124,x103125,x103123,x103126,x103122,x103121)),x103126))+P1(f318(f318(f320(x103122),f818(x103124,x103125,x103123,x103126,x103122,x103121)),x103126))
% 202.92/202.79 [10330]~P84(x103301)+~P1(f318(f55(x103302),x103306))+E(f318(f318(f318(f59(x103301,x103302,f74(x103301)),f318(f318(f10(f927(x103303,a918),x103301,x103302),f318(f318(f59(x103301,x103303,f74(x103301)),x103304),f71(x103301))),x103305)),f71(x103301)),x103306),f318(f318(f318(f59(x103301,x103303,f74(x103301)),x103304),f71(x103301)),f318(f318(f33(x103302,f927(x103303,a918)),x103306),x103305)))+P1(f318(f318(f320(x103302),f819(x103304,x103305,x103303,x103306,x103302,x103301)),x103306))+~P1(f318(f55(x103303),f318(x103305,f817(x103304,x103305,x103303,x103306,x103302,x103301))))
% 202.92/202.79 [10331]~P84(x103311)+~P1(f318(f55(x103312),x103316))+E(f318(f318(f318(f59(x103311,x103312,f74(x103311)),f318(f318(f10(f927(x103313,a918),x103311,x103312),f318(f318(f59(x103311,x103313,f74(x103311)),x103314),f71(x103311))),x103315)),f71(x103311)),x103316),f318(f318(f318(f59(x103311,x103313,f74(x103311)),x103314),f71(x103311)),f318(f318(f33(x103312,f927(x103313,a918)),x103316),x103315)))+P1(f318(f318(f320(x103312),f818(x103314,x103315,x103313,x103316,x103312,x103311)),x103316))+~P1(f318(f55(x103313),f318(x103315,f817(x103314,x103315,x103313,x103316,x103312,x103311))))
% 202.92/202.79 [10342]~P84(x103421)+~E(f318(f318(f92(f927(x103423,a918)),f318(x103425,f819(x103424,x103425,x103423,x103426,x103422,x103421))),f318(x103425,f818(x103424,x103425,x103423,x103426,x103422,x103421))),f179(f927(x103423,a918)))+~P1(f318(f55(x103422),x103426))+E(f318(f318(f318(f59(x103421,x103422,f74(x103421)),f318(f318(f10(f927(x103423,a918),x103421,x103422),f318(f318(f59(x103421,x103423,f74(x103421)),x103424),f71(x103421))),x103425)),f71(x103421)),x103426),f318(f318(f318(f59(x103421,x103423,f74(x103421)),x103424),f71(x103421)),f318(f318(f33(x103422,f927(x103423,a918)),x103426),x103425)))+P1(f318(f318(f320(x103422),f817(x103424,x103425,x103423,x103426,x103422,x103421)),x103426))
% 202.92/202.79 [10353]~P84(x103531)+~E(f318(f318(f92(f927(x103533,a918)),f318(x103535,f819(x103534,x103535,x103533,x103536,x103532,x103531))),f318(x103535,f818(x103534,x103535,x103533,x103536,x103532,x103531))),f179(f927(x103533,a918)))+~P1(f318(f55(x103532),x103536))+E(f318(f318(f318(f59(x103531,x103532,f74(x103531)),f318(f318(f10(f927(x103533,a918),x103531,x103532),f318(f318(f59(x103531,x103533,f74(x103531)),x103534),f71(x103531))),x103535)),f71(x103531)),x103536),f318(f318(f318(f59(x103531,x103533,f74(x103531)),x103534),f71(x103531)),f318(f318(f33(x103532,f927(x103533,a918)),x103536),x103535)))+~P1(f318(f55(x103533),f318(x103535,f817(x103534,x103535,x103533,x103536,x103532,x103531))))
% 202.92/202.79 [9409]~P123(x94091)+~P124(x94091)+~P1(f318(f318(f278(x94091),x94092),x94095))+~P1(f318(f318(f278(x94091),x94092),f318(f318(f73(x94091),x94093),x94096)))+P1(f318(f318(f278(x94091),x94092),f318(f318(f73(x94091),f318(f318(f3(x94091),x94093),f318(f318(f74(x94091),x94094),x94095))),x94096)))
% 202.92/202.79 [9602]~P123(x96021)+~P124(x96021)+~P1(f318(f318(f278(x96021),x96022),x96025))+P1(f318(f318(f278(x96021),x96022),f318(f318(f73(x96021),x96023),x96024)))+~P1(f318(f318(f278(x96021),x96022),f318(f318(f73(x96021),f318(f318(f3(x96021),x96023),f318(f318(f74(x96021),x96026),x96025))),x96024)))
% 202.92/202.79 [9009]E(x90091,x90092)+~P60(x90094,x90095,x90096,x90093,x90097)+~E(f318(x90093,x90091),f318(x90093,x90092))+~P1(f318(f318(f320(x90095),x90092),x90097))+~P1(f318(f318(f320(x90095),x90091),x90097))
% 202.92/202.79 [10320]~P1(f318(x103202,x103204))+~E(x103205,f318(f127(x103201,x103202),x103207))+E(f318(f127(x103201,x103202),x103203),f318(f318(f142(x103201),x103204),x103205))+~E(x103203,f318(f318(f125(x103201),x103206),f318(f318(f142(x103201),x103204),x103207)))+P1(f318(x103202,f752(x103205,x103204,x103203,x103202,x103201,x103206,x103207)))
% 202.92/202.79 [10321]~P1(f318(x103214,x103212))+~E(x103213,f318(f127(x103211,x103214),x103217))+E(f318(f318(f142(x103211),x103212),x103213),f318(f127(x103211,x103214),x103215))+~E(x103215,f318(f318(f125(x103211),x103216),f318(f318(f142(x103211),x103212),x103217)))+P1(f318(x103214,f751(x103215,x103214,x103213,x103212,x103211,x103216,x103217)))
% 202.92/202.79 [10365]~P1(f318(x103652,x103654))+~E(x103655,f318(f127(x103651,x103652),x103657))+E(f318(f127(x103651,x103652),x103653),f318(f318(f142(x103651),x103654),x103655))+~E(x103653,f318(f318(f125(x103651),x103656),f318(f318(f142(x103651),x103654),x103657)))+P1(f318(f318(f320(x103651),f752(x103655,x103654,x103653,x103652,x103651,x103656,x103657)),f318(f163(x103651),x103656)))
% 202.92/202.79 [10366]~P1(f318(x103664,x103662))+~E(x103663,f318(f127(x103661,x103664),x103667))+E(f318(f318(f142(x103661),x103662),x103663),f318(f127(x103661,x103664),x103665))+~E(x103665,f318(f318(f125(x103661),x103666),f318(f318(f142(x103661),x103662),x103667)))+P1(f318(f318(f320(x103661),f751(x103665,x103664,x103663,x103662,x103661,x103666,x103667)),f318(f163(x103661),x103666)))
% 202.92/202.79 [10370]~P8(x103701,x103707,x103706)+~P11(x103701,f927(x103705,a918),x103706,x103704)+P1(f318(f318(f320(x103701),f539(x103702,x103703,x103704,x103705,x103706,x103707,x103701)),x103707))+~P1(f318(f318(f320(f927(x103701,a918)),x103703),f318(f318(f54(x103701),x103707),x103706)))+P1(f318(f318(f320(f927(x103705,a918)),f318(f318(f33(x103701,f927(x103705,a918)),x103703),x103704)),x103702))
% 202.92/202.79 [10426]~P8(x104262,x104266,x104267)+~P11(x104262,f927(x104261,a918),x104267,x104264)+~P1(f318(f318(f320(f927(x104262,a918)),x104263),f318(f318(f54(x104262),x104266),x104267)))+~P1(f318(f318(f320(f927(x104261,a918)),f318(x104264,f539(x104265,x104263,x104264,x104261,x104267,x104266,x104262))),x104265))+P1(f318(f318(f320(f927(x104261,a918)),f318(f318(f33(x104262,f927(x104261,a918)),x104263),x104264)),x104265))
% 202.92/202.79 [8589]~P84(x85892)+~P25(x85891,x85895,x85898,x85894)+~E(x85893,f318(f66(x85895,x85892,x85891,x85896),x85898))+~E(x85897,f318(f301(x85891,x85895,x85898),x85894))+E(f318(f318(f11(x85891,x85892),x85893),x85894),f318(f318(f11(x85895,x85892),x85896),x85897))
% 202.92/202.79 [10430]~P84(x104302)+~P25(x104305,x104301,x104308,x104307)+~E(f318(x104306,f521(x104303,x104306,x104304,x104307,x104308,x104301,x104305,x104302)),f318(f318(f66(x104301,x104302,x104305,x104303),x104308),f521(x104303,x104306,x104304,x104307,x104308,x104301,x104305,x104302)))+~E(x104304,f318(f301(x104305,x104301,x104308),x104307))+E(f318(f318(f11(x104301,x104302),x104303),x104304),f318(f318(f11(x104305,x104302),x104306),x104307))
% 202.92/202.79 [10435]~P84(x104352)+~P25(x104351,x104355,x104358,x104354)+~E(x104357,f318(f301(x104351,x104355,x104358),x104354))+E(f318(f318(f11(x104351,x104352),x104353),x104354),f318(f318(f11(x104355,x104352),x104356),x104357))+P1(f318(f318(f320(x104351),f521(x104356,x104353,x104357,x104354,x104358,x104355,x104351,x104352)),x104354))
% 202.92/202.79 [10436]~P83(x104362)+~P25(x104361,x104365,x104368,x104364)+~E(x104367,f318(f301(x104361,x104365,x104368),x104364))+E(f318(f318(f8(x104361,x104362),x104363),x104364),f318(f318(f8(x104365,x104362),x104366),x104367))+P1(f318(f318(f320(x104361),f433(x104366,x104363,x104367,x104364,x104368,x104365,x104361,x104362)),x104364))
% 202.92/202.79 [10441]~P83(x104412)+~P25(x104415,x104411,x104418,x104417)+~E(x104414,f318(f301(x104415,x104411,x104418),x104417))+~E(f318(x104416,f433(x104413,x104416,x104414,x104417,x104418,x104411,x104415,x104412)),f318(x104413,f318(x104418,f433(x104413,x104416,x104414,x104417,x104418,x104411,x104415,x104412))))+E(f318(f318(f8(x104411,x104412),x104413),x104414),f318(f318(f8(x104415,x104412),x104416),x104417))
% 202.92/202.79 [9898]~P24(x98986,x98982,x98985,x98987,x98988,x98981)+~P1(f318(f55(x98982),x98984))+~P1(f318(f55(x98982),x98983))+~E(f318(f318(f92(f927(x98982,a918)),x98983),x98984),f179(f927(x98982,a918)))+E(f318(x98981,f318(f318(f101(f927(x98982,a918)),x98983),x98984)),f318(f318(x98985,f318(x98981,x98983)),f318(x98981,x98984)))
% 202.92/202.79 [10305]~P24(x103058,x103052,x103055,x103057,x103056,x103051)+~E(f318(x103056,f402(x103054,x103053,x103051,x103056,x103057,x103055,x103052)),x103057)+~P1(f318(f55(x103052),x103053))+~P1(f318(f55(x103052),x103054))+E(f318(x103051,f318(f318(f101(f927(x103052,a918)),x103053),x103054)),f318(f318(x103055,f318(x103051,x103053)),f318(x103051,x103054)))
% 202.92/202.79 [10377]~P24(x103778,x103772,x103775,x103777,x103776,x103771)+~P1(f318(f55(x103772),x103773))+~P1(f318(f55(x103772),x103774))+E(f318(x103771,f318(f318(f101(f927(x103772,a918)),x103773),x103774)),f318(f318(x103775,f318(x103771,x103773)),f318(x103771,x103774)))+P1(f318(f318(f320(x103772),f402(x103774,x103773,x103771,x103776,x103777,x103775,x103772)),f318(f318(f92(f927(x103772,a918)),x103773),x103774)))
% 202.92/202.79 [10058]~P8(x100584,x100588,x100585)+~P8(x100581,x100589,x100583)+~P12(x100581,x100584,f927(x100582,a918),x100583,x100585,x100587)+P11(x100581,f927(x100582,a918),x100583,f318(f318(f10(f927(x100584,f927(x100582,a918)),f927(x100582,a918),x100581),f318(f33(x100584,f927(x100582,a918)),f318(f276(x100584,x100584,x100585),f318(f318(f300(x100584),x100586),f179(f927(x100584,a918)))))),x100587))+~P1(f318(f318(f320(x100584),x100586),x100588))
% 202.92/202.79 [5577]~P4(x55773)+~P13(x55773,x55771)+E(x55771,f729(x55772,x55773))+~E(f318(f163(x55773),x55771),x55772)+~P1(f318(f55(x55773),x55772))+~P1(f318(f128(x55773),x55771))
% 202.92/202.79 [7440]P16(x74401,x74402)+~E(f318(x74402,f809(x74402)),f318(x74402,f810(x74402)))+~P1(f318(f318(x74402,f809(x74402)),f809(x74402)))+~P1(f318(f318(x74402,f809(x74402)),f810(x74402)))+~P1(f318(f318(x74402,f810(x74402)),f810(x74402)))+~P1(f318(f318(x74402,x74403),x74403))
% 202.92/202.79 [5199]~P129(x51992)+~P130(x51992)+~P150(x51992)+~P121(x51992)+E(x51991,f2(x51992))+~E(f318(f318(f235(x51992),x51991),x51993),f2(x51992))
% 202.92/202.79 [5200]~P129(x52002)+~P130(x52002)+~P150(x52002)+~P121(x52002)+~E(x52001,f2(a920))+~E(f318(f318(f235(x52002),x52003),x52001),f2(x52002))
% 202.92/202.79 [6668]~P95(x66681)+~E(x66683,f2(x66681))+~E(x66682,f2(x66681))+E(f318(f318(f73(x66681),x66682),x66683),f2(x66681))+~P1(f318(f318(f225(x66681),f2(x66681)),x66683))+~P1(f318(f318(f225(x66681),f2(x66681)),x66682))
% 202.92/202.79 [9078]~E(f318(f242(a920,a920),x90783),f2(a920))+~E(x90781,f318(f318(f73(a920),f318(f318(f74(a920),f318(f242(a920,a920),x90783)),x90782)),f318(f247(a920,a920),x90783)))+P1(f318(f42(x90781,x90782),x90783))+~P1(f318(f318(f225(a920),f318(f247(a920,a920),x90783)),f2(a920)))+P1(f318(f318(f226(a920),f2(a920)),x90782))+~P1(f318(f318(f226(a920),x90782),f318(f247(a920,a920),x90783)))
% 202.92/202.79 [9086]E(x90861,f2(a920))+~E(x90862,f318(f318(f73(a920),f318(f318(f74(a920),f318(f242(a920,a920),x90863)),x90861)),f318(f247(a920,a920),x90863)))+P1(f318(f42(x90862,x90861),x90863))+~P1(f318(f318(f226(a920),f2(a920)),x90861))+~P1(f318(f318(f225(a920),f2(a920)),f318(f247(a920,a920),x90863)))+~P1(f318(f318(f226(a920),f318(f247(a920,a920),x90863)),x90861))
% 202.92/202.79 [9106]~E(f318(f242(a920,a920),x91063),f2(a920))+~E(x91061,f318(f318(f73(a920),f318(f318(f74(a920),f318(f242(a920,a920),x91063)),x91062)),f318(f247(a920,a920),x91063)))+P1(f318(f42(x91061,x91062),x91063))+~P1(f318(f318(f226(a920),f2(a920)),x91062))+~P1(f318(f318(f225(a920),f2(a920)),f318(f247(a920,a920),x91063)))+~P1(f318(f318(f226(a920),f318(f247(a920,a920),x91063)),x91062))
% 202.92/202.79 [7061]~P104(x70612)+E(x70611,f179(f927(x70612,a918)))+E(x70613,f179(f927(x70612,a918)))+~P1(f318(f55(x70612),x70611))+~P1(f318(f55(x70612),x70613))+E(f12(x70612,f318(f318(f101(f927(x70612,a918)),x70613),x70611)),f318(f318(f92(x70612),f12(x70612,x70613)),f12(x70612,x70611)))
% 202.92/202.79 [7062]~P104(x70622)+E(x70621,f179(f927(x70622,a918)))+E(x70623,f179(f927(x70622,a918)))+~P1(f318(f55(x70622),x70621))+~P1(f318(f55(x70622),x70623))+E(f15(x70622,f318(f318(f101(f927(x70622,a918)),x70623),x70621)),f318(f318(f101(x70622),f15(x70622,x70623)),f15(x70622,x70621)))
% 202.92/202.79 [7063]~P4(x70632)+E(x70631,f179(f927(x70632,a918)))+E(x70633,f179(f927(x70632,a918)))+~P1(f318(f55(x70632),x70631))+~P1(f318(f55(x70632),x70633))+E(f16(x70632,f318(f318(f101(f927(x70632,a918)),x70633),x70631)),f318(f318(f223(x70632),f16(x70632,x70633)),f16(x70632,x70631)))
% 202.92/202.79 [7064]~P4(x70642)+E(x70641,f179(f927(x70642,a918)))+E(x70643,f179(f927(x70642,a918)))+~P1(f318(f55(x70642),x70641))+~P1(f318(f55(x70642),x70643))+E(f17(x70642,f318(f318(f101(f927(x70642,a918)),x70643),x70641)),f318(f318(f224(x70642),f17(x70642,x70643)),f17(x70642,x70641)))
% 202.92/202.79 [7705]~P102(x77052)+E(x77051,f179(f927(x77052,a918)))+E(x77053,f179(f927(x77052,a918)))+~P1(f318(f55(x77052),x77051))+~P1(f318(f55(x77052),x77053))+E(f318(f318(f74(x77052),f318(f57(x77052,f74(x77052)),x77053)),f318(f57(x77052,f74(x77052)),x77051)),f318(f57(x77052,f74(x77052)),f318(f318(f101(f927(x77052,a918)),x77053),x77051)))
% 202.92/202.79 [7866]~P4(x78662)+E(x78661,f179(f927(x78662,a918)))+E(x78663,f179(f927(x78662,a918)))+~P1(f318(f55(x78662),x78661))+~P1(f318(f55(x78662),x78663))+E(f318(f318(f223(x78662),f13(x78662,f223(x78662),x78663)),f13(x78662,f223(x78662),x78661)),f13(x78662,f223(x78662),f318(f318(f101(f927(x78662,a918)),x78663),x78661)))
% 202.92/202.79 [7867]~P4(x78672)+E(x78671,f179(f927(x78672,a918)))+E(x78673,f179(f927(x78672,a918)))+~P1(f318(f55(x78672),x78671))+~P1(f318(f55(x78672),x78673))+E(f318(f318(f224(x78672),f14(x78672,f224(x78672),x78673)),f14(x78672,f224(x78672),x78671)),f14(x78672,f224(x78672),f318(f318(f101(f927(x78672,a918)),x78673),x78671)))
% 202.92/202.79 [8909]~P1(f318(x89091,x89093))+P1(f318(x89091,f905(x89091,x89092)))+P1(f318(x89091,f891(x89091,x89092)))+~P1(f318(f318(f226(a1),f2(a1)),x89092))+~P1(f318(f318(f320(a1),x89093),f294(a1,f71(a1),x89092)))+P1(f318(x89091,f318(f318(f3(a1),f891(x89091,x89092)),f318(f318(f74(a1),f902(x89091,x89092)),x89092))))
% 202.92/202.79 [9215]~P1(f318(x92151,x92153))+~P1(f318(x92151,f891(x92151,x92152)))+P1(f318(x92151,f905(x92151,x92152)))+~P1(f318(f318(f226(a1),f2(a1)),x92152))+~P1(f318(f318(f320(a1),x92153),f294(a1,f71(a1),x92152)))+~P1(f318(x92151,f318(f318(f3(a1),f891(x92151,x92152)),f318(f318(f74(a1),f902(x92151,x92152)),x92152))))
% 202.92/202.79 [10469]~P107(x104692)+E(x104691,f179(f927(x104692,a918)))+E(x104693,f179(f927(x104692,a918)))+~P1(f318(f55(x104692),x104691))+~P1(f318(f55(x104692),x104693))+E(f15(x104692,f318(f253(x104692),f318(f318(f10(f927(x104692,a918),a918,x104692),f80(x104692)),f318(f318(f10(f927(x104692,f927(x104692,a918)),f927(x104692,a918),x104692),f318(f10(f927(x104692,a918),a918,x104692),f80(x104692))),f318(f318(f9(x104692,f927(x104692,f927(x104692,a918)),f927(x104692,f927(x104692,a918))),f318(f318(f10(f927(x104692,f927(f927(x104692,a918),f927(x104692,a918))),f927(f927(x104692,f927(x104692,a918)),f927(x104692,f927(x104692,a918))),x104692),f20(x104692,f927(x104692,a918),f927(x104692,a918))),f318(f318(f10(f927(x104692,f927(x104692,f927(a918,a918))),f927(x104692,f927(f927(x104692,a918),f927(x104692,a918))),x104692),f318(f10(f927(x104692,f927(a918,a918)),f927(f927(x104692,a918),f927(x104692,a918)),x104692),f20(x104692,a918,a918))),f318(f318(f10(f927(x104692,f927(x104692,a918)),f927(x104692,f927(x104692,f927(a918,a918))),x104692),f318(f10(f927(x104692,a918),f927(x104692,f927(a918,a918)),x104692),f318(f10(a918,f927(a918,a918),x104692),a316))),f318(f318(f9(x104692,f927(x104692,f927(x104692,x104692)),f927(x104692,f927(x104692,a918))),f318(f318(f10(f927(f927(x104692,x104692),f927(x104692,a918)),f927(f927(x104692,f927(x104692,x104692)),f927(x104692,f927(x104692,a918))),x104692),f10(f927(x104692,x104692),f927(x104692,a918),x104692)),f318(f318(f10(f927(x104692,a918),f927(f927(x104692,x104692),f927(x104692,a918)),x104692),f10(x104692,a918,x104692)),a315))),f92(x104692)))))),f318(f318(f9(x104692,f927(x104692,a918),f927(x104692,a918)),f318(f318(f10(f927(a918,a918),f927(f927(x104692,a918),f927(x104692,a918)),x104692),f10(a918,a918,x104692)),f318(f318(f10(a918,f927(a918,a918),x104692),a316),f318(f318(f9(x104692,f927(x104692,a918),a918),f320(x104692)),x104693)))),f318(f318(f9(x104692,f927(x104692,a918),a918),f320(x104692)),x104691))))))),f318(f318(f92(x104692),f15(x104692,x104693)),f15(x104692,x104691)))
% 202.92/202.79 [10470]~P107(x104702)+E(x104701,f179(f927(x104702,a918)))+E(x104703,f179(f927(x104702,a918)))+~P1(f318(f55(x104702),x104701))+~P1(f318(f55(x104702),x104703))+E(f12(x104702,f318(f253(x104702),f318(f318(f10(f927(x104702,a918),a918,x104702),f80(x104702)),f318(f318(f10(f927(x104702,f927(x104702,a918)),f927(x104702,a918),x104702),f318(f10(f927(x104702,a918),a918,x104702),f80(x104702))),f318(f318(f9(x104702,f927(x104702,f927(x104702,a918)),f927(x104702,f927(x104702,a918))),f318(f318(f10(f927(x104702,f927(f927(x104702,a918),f927(x104702,a918))),f927(f927(x104702,f927(x104702,a918)),f927(x104702,f927(x104702,a918))),x104702),f20(x104702,f927(x104702,a918),f927(x104702,a918))),f318(f318(f10(f927(x104702,f927(x104702,f927(a918,a918))),f927(x104702,f927(f927(x104702,a918),f927(x104702,a918))),x104702),f318(f10(f927(x104702,f927(a918,a918)),f927(f927(x104702,a918),f927(x104702,a918)),x104702),f20(x104702,a918,a918))),f318(f318(f10(f927(x104702,f927(x104702,a918)),f927(x104702,f927(x104702,f927(a918,a918))),x104702),f318(f10(f927(x104702,a918),f927(x104702,f927(a918,a918)),x104702),f318(f10(a918,f927(a918,a918),x104702),a316))),f318(f318(f9(x104702,f927(x104702,f927(x104702,x104702)),f927(x104702,f927(x104702,a918))),f318(f318(f10(f927(f927(x104702,x104702),f927(x104702,a918)),f927(f927(x104702,f927(x104702,x104702)),f927(x104702,f927(x104702,a918))),x104702),f10(f927(x104702,x104702),f927(x104702,a918),x104702)),f318(f318(f10(f927(x104702,a918),f927(f927(x104702,x104702),f927(x104702,a918)),x104702),f10(x104702,a918,x104702)),a315))),f101(x104702)))))),f318(f318(f9(x104702,f927(x104702,a918),f927(x104702,a918)),f318(f318(f10(f927(a918,a918),f927(f927(x104702,a918),f927(x104702,a918)),x104702),f10(a918,a918,x104702)),f318(f318(f10(a918,f927(a918,a918),x104702),a316),f318(f318(f9(x104702,f927(x104702,a918),a918),f320(x104702)),x104703)))),f318(f318(f9(x104702,f927(x104702,a918),a918),f320(x104702)),x104701))))))),f318(f318(f101(x104702),f12(x104702,x104703)),f12(x104702,x104701)))
% 202.92/202.79 [10471]~P4(x104712)+E(x104711,f179(f927(x104712,a918)))+E(x104713,f179(f927(x104712,a918)))+~P1(f318(f55(x104712),x104711))+~P1(f318(f55(x104712),x104713))+E(f14(x104712,f224(x104712),f318(f253(x104712),f318(f318(f10(f927(x104712,a918),a918,x104712),f80(x104712)),f318(f318(f10(f927(x104712,f927(x104712,a918)),f927(x104712,a918),x104712),f318(f10(f927(x104712,a918),a918,x104712),f80(x104712))),f318(f318(f9(x104712,f927(x104712,f927(x104712,a918)),f927(x104712,f927(x104712,a918))),f318(f318(f10(f927(x104712,f927(f927(x104712,a918),f927(x104712,a918))),f927(f927(x104712,f927(x104712,a918)),f927(x104712,f927(x104712,a918))),x104712),f20(x104712,f927(x104712,a918),f927(x104712,a918))),f318(f318(f10(f927(x104712,f927(x104712,f927(a918,a918))),f927(x104712,f927(f927(x104712,a918),f927(x104712,a918))),x104712),f318(f10(f927(x104712,f927(a918,a918)),f927(f927(x104712,a918),f927(x104712,a918)),x104712),f20(x104712,a918,a918))),f318(f318(f10(f927(x104712,f927(x104712,a918)),f927(x104712,f927(x104712,f927(a918,a918))),x104712),f318(f10(f927(x104712,a918),f927(x104712,f927(a918,a918)),x104712),f318(f10(a918,f927(a918,a918),x104712),a316))),f318(f318(f9(x104712,f927(x104712,f927(x104712,x104712)),f927(x104712,f927(x104712,a918))),f318(f318(f10(f927(f927(x104712,x104712),f927(x104712,a918)),f927(f927(x104712,f927(x104712,x104712)),f927(x104712,f927(x104712,a918))),x104712),f10(f927(x104712,x104712),f927(x104712,a918),x104712)),f318(f318(f10(f927(x104712,a918),f927(f927(x104712,x104712),f927(x104712,a918)),x104712),f10(x104712,a918,x104712)),a315))),f223(x104712)))))),f318(f318(f9(x104712,f927(x104712,a918),f927(x104712,a918)),f318(f318(f10(f927(a918,a918),f927(f927(x104712,a918),f927(x104712,a918)),x104712),f10(a918,a918,x104712)),f318(f318(f10(a918,f927(a918,a918),x104712),a316),f318(f318(f9(x104712,f927(x104712,a918),a918),f320(x104712)),x104713)))),f318(f318(f9(x104712,f927(x104712,a918),a918),f320(x104712)),x104711))))))),f318(f318(f223(x104712),f14(x104712,f224(x104712),x104713)),f14(x104712,f224(x104712),x104711)))
% 202.92/202.79 [10472]~P4(x104722)+E(x104721,f179(f927(x104722,a918)))+E(x104723,f179(f927(x104722,a918)))+~P1(f318(f55(x104722),x104721))+~P1(f318(f55(x104722),x104723))+E(f13(x104722,f223(x104722),f318(f253(x104722),f318(f318(f10(f927(x104722,a918),a918,x104722),f80(x104722)),f318(f318(f10(f927(x104722,f927(x104722,a918)),f927(x104722,a918),x104722),f318(f10(f927(x104722,a918),a918,x104722),f80(x104722))),f318(f318(f9(x104722,f927(x104722,f927(x104722,a918)),f927(x104722,f927(x104722,a918))),f318(f318(f10(f927(x104722,f927(f927(x104722,a918),f927(x104722,a918))),f927(f927(x104722,f927(x104722,a918)),f927(x104722,f927(x104722,a918))),x104722),f20(x104722,f927(x104722,a918),f927(x104722,a918))),f318(f318(f10(f927(x104722,f927(x104722,f927(a918,a918))),f927(x104722,f927(f927(x104722,a918),f927(x104722,a918))),x104722),f318(f10(f927(x104722,f927(a918,a918)),f927(f927(x104722,a918),f927(x104722,a918)),x104722),f20(x104722,a918,a918))),f318(f318(f10(f927(x104722,f927(x104722,a918)),f927(x104722,f927(x104722,f927(a918,a918))),x104722),f318(f10(f927(x104722,a918),f927(x104722,f927(a918,a918)),x104722),f318(f10(a918,f927(a918,a918),x104722),a316))),f318(f318(f9(x104722,f927(x104722,f927(x104722,x104722)),f927(x104722,f927(x104722,a918))),f318(f318(f10(f927(f927(x104722,x104722),f927(x104722,a918)),f927(f927(x104722,f927(x104722,x104722)),f927(x104722,f927(x104722,a918))),x104722),f10(f927(x104722,x104722),f927(x104722,a918),x104722)),f318(f318(f10(f927(x104722,a918),f927(f927(x104722,x104722),f927(x104722,a918)),x104722),f10(x104722,a918,x104722)),a315))),f224(x104722)))))),f318(f318(f9(x104722,f927(x104722,a918),f927(x104722,a918)),f318(f318(f10(f927(a918,a918),f927(f927(x104722,a918),f927(x104722,a918)),x104722),f10(a918,a918,x104722)),f318(f318(f10(a918,f927(a918,a918),x104722),a316),f318(f318(f9(x104722,f927(x104722,a918),a918),f320(x104722)),x104723)))),f318(f318(f9(x104722,f927(x104722,a918),a918),f320(x104722)),x104721))))))),f318(f318(f224(x104722),f13(x104722,f223(x104722),x104723)),f13(x104722,f223(x104722),x104721)))
% 202.92/202.79 [7396]~P135(x73963)+E(x73961,x73962)+~E(f318(f318(f235(x73963),x73961),x73964),f318(f318(f235(x73963),x73962),x73964))+~P1(f318(f318(f225(x73963),f2(x73963)),x73962))+~P1(f318(f318(f225(x73963),f2(x73963)),x73961))+~P1(f318(f318(f226(a920),f2(a920)),x73964))
% 202.92/202.79 [9355]~P1(f318(x93552,x93553))+~P1(f318(x93551,x93554))+E(f229(a920,x93551),f318(a103,f229(a920,x93552)))+P1(f318(x93552,f830(x93553,x93552,x93554,x93551)))+P1(f318(x93551,f2(a920)))+P1(f318(x93551,f318(a103,f830(x93553,x93552,x93554,x93551))))
% 202.92/202.79 [9617]~P1(f318(x96172,x96173))+~P1(f318(x96171,x96174))+E(f229(a920,x96171),f318(a103,f229(a920,x96172)))+~P1(f318(x96172,f830(x96173,x96172,x96174,x96171)))+P1(f318(x96171,f2(a920)))+~P1(f318(x96171,f318(a103,f830(x96173,x96172,x96174,x96171))))
% 202.92/202.79 [7666]~P4(x76662)+E(x76661,f179(f927(x76662,a918)))+~P1(f318(f55(x76662),x76661))+~P1(f318(f318(f320(x76662),x76664),x76661))+P1(f318(f318(f225(x76662),x76663),x76664))+~P1(f318(f318(f225(x76662),x76663),f318(f57(x76662,f223(x76662)),x76661)))
% 202.92/202.79 [7667]~P103(x76672)+E(x76671,f179(f927(x76672,a918)))+~P1(f318(f55(x76672),x76671))+~P1(f318(f318(f320(x76672),x76674),x76671))+P1(f318(f318(f225(x76672),x76673),x76674))+~P1(f318(f318(f225(x76672),x76673),f318(f57(x76672,f92(x76672)),x76671)))
% 202.92/202.79 [7668]~P4(x76682)+E(x76681,f179(f927(x76682,a918)))+~P1(f318(f55(x76682),x76681))+~P1(f318(f318(f320(x76682),x76684),x76681))+P1(f318(f318(f226(x76682),x76683),x76684))+~P1(f318(f318(f226(x76682),x76683),f318(f57(x76682,f223(x76682)),x76681)))
% 202.92/202.79 [7574]E(x75741,f2(a1))+E(f318(f318(f30(a1),x75742),x75741),x75743)+~P1(f318(f318(f225(a1),x75744),f2(a1)))+~E(x75742,f318(f318(f73(a1),f318(f318(f74(a1),x75741),x75743)),x75744))+P1(f318(f318(f226(a1),f2(a1)),x75741))+~P1(f318(f318(f226(a1),x75741),x75744))
% 202.92/202.79 [7589]E(f39(a1,x75892,x75891),x75893)+E(x75891,f2(a1))+~P1(f318(f318(f225(a1),x75893),f2(a1)))+~E(x75892,f318(f318(f73(a1),f318(f318(f74(a1),x75891),x75894)),x75893))+P1(f318(f318(f226(a1),f2(a1)),x75891))+~P1(f318(f318(f226(a1),x75891),x75893))
% 202.92/202.79 [7704]E(x77041,f2(a1))+E(f318(f318(f30(a1),x77042),x77041),x77043)+~E(x77042,f318(f318(f73(a1),f318(f318(f74(a1),x77041),x77043)),x77044))+~P1(f318(f318(f225(a1),f2(a1)),x77044))+~P1(f318(f318(f226(a1),f2(a1)),x77041))+~P1(f318(f318(f226(a1),x77044),x77041))
% 202.92/202.79 [7726]E(f39(a1,x77262,x77261),x77263)+E(x77261,f2(a1))+~E(x77262,f318(f318(f73(a1),f318(f318(f74(a1),x77261),x77264)),x77263))+~P1(f318(f318(f225(a1),f2(a1)),x77263))+~P1(f318(f318(f226(a1),f2(a1)),x77261))+~P1(f318(f318(f226(a1),x77263),x77261))
% 202.92/202.79 [7870]~P4(x78702)+E(x78701,f179(f927(x78702,a918)))+~P1(f318(f55(x78702),x78701))+~P1(f318(f318(f320(x78702),x78704),x78701))+~P1(f318(f318(f225(x78702),x78704),x78703))+P1(f318(f318(f225(x78702),f318(f57(x78702,f223(x78702)),x78701)),x78703))
% 202.92/202.79 [7871]~P4(x78712)+E(x78711,f179(f927(x78712,a918)))+~P1(f318(f55(x78712),x78711))+~P1(f318(f318(f226(x78712),x78714),x78713))+~P1(f318(f318(f320(x78712),x78714),x78711))+P1(f318(f318(f226(x78712),f318(f57(x78712,f223(x78712)),x78711)),x78713))
% 202.92/202.79 [8440]~P1(f318(f318(f225(a1),x84404),f2(a1)))+~E(x84401,f318(f318(f73(a1),f318(f318(f74(a1),x84402),x84403)),x84404))+~P1(f318(f318(f225(a1),f2(a1)),x84404))+~P1(f318(f318(f226(a1),x84404),x84402))+~P1(f318(f318(f226(a1),x84402),x84404))+P1(f318(f43(x84401,x84402),f318(f318(f243(a1,a1),x84403),x84404)))
% 202.92/202.79 [8608]~P113(x86081)+P1(f318(f318(f226(f927(x86081,a918)),f294(x86081,x86082,x86083)),f294(x86081,x86084,x86085)))+~P1(f318(f318(f225(x86081),x86084),x86082))+~P1(f318(f318(f225(x86081),x86084),x86085))+~P1(f318(f318(f225(x86081),x86083),x86085))+~P1(f318(f318(f226(x86081),x86083),x86085))
% 202.92/202.79 [8609]~P113(x86091)+P1(f318(f318(f226(f927(x86091,a918)),f294(x86091,x86092,x86093)),f294(x86091,x86094,x86095)))+~P1(f318(f318(f225(x86091),x86093),x86095))+~P1(f318(f318(f225(x86091),x86094),x86095))+~P1(f318(f318(f225(x86091),x86094),x86092))+~P1(f318(f318(f226(x86091),x86094),x86092))
% 202.92/202.79 [9479]P62(x94792,x94793,x94794,x94791)+E(x94791,f179(f927(x94792,a918)))+~P1(f318(f55(x94792),x94794))+~P1(f318(f55(x94792),x94791))+~P1(f318(f318(x94793,f544(x94791,x94794,x94793,x94792)),x94795))+~P1(f318(f318(f320(x94792),x94795),x94791))
% 202.92/202.79 [9480]P62(x94802,x94803,x94804,x94801)+E(x94801,f179(f927(x94802,a918)))+~P1(f318(f55(x94802),x94804))+~P1(f318(f55(x94802),x94801))+~P1(f318(f318(x94803,f800(x94803,x94801,x94804,x94802)),x94805))+~P1(f318(f318(f320(x94802),x94805),x94801))
% 202.92/202.79 [9481]P62(x94812,x94813,x94814,x94811)+E(x94811,f179(f927(x94812,a918)))+~P1(f318(f55(x94812),x94814))+~P1(f318(f55(x94812),x94811))+~P1(f318(f318(x94813,f802(x94811,x94814,x94813,x94812)),x94815))+~P1(f318(f318(f320(x94812),x94815),x94811))
% 202.92/202.79 [9632]~E(x96323,x96325)+~P83(x96321)+~P84(x96321)+~P43(x96323)+E(f318(f318(f11(a1,x96321),x96322),x96323),f318(f318(f11(a1,x96321),x96324),x96325))+P1(f318(f318(f225(a1),f2(a1)),f513(x96322,x96324,x96323,x96325,x96321)))
% 202.92/202.79 [9633]~E(x96333,x96335)+~P83(x96331)+~P84(x96331)+~P43(x96333)+E(f318(f318(f8(a1,x96331),x96332),x96333),f318(f318(f8(a1,x96331),x96334),x96335))+P1(f318(f318(f225(a1),f2(a1)),f543(x96332,x96334,x96333,x96335,x96331)))
% 202.92/202.79 [9806]~E(x98065,x98063)+~P83(x98061)+~P84(x98061)+~P43(x98065)+~E(f318(x98062,f513(x98064,x98062,x98065,x98063,x98061)),f318(x98064,f513(x98064,x98062,x98065,x98063,x98061)))+E(f318(f318(f11(a1,x98061),x98062),x98063),f318(f318(f11(a1,x98061),x98064),x98065))
% 202.92/202.79 [9807]~E(x98075,x98073)+~P83(x98071)+~P84(x98071)+~P43(x98075)+~E(f318(x98072,f543(x98074,x98072,x98075,x98073,x98071)),f318(x98074,f543(x98074,x98072,x98075,x98073,x98071)))+E(f318(f318(f8(a1,x98071),x98072),x98073),f318(f318(f8(a1,x98071),x98074),x98075))
% 202.92/202.79 [9896]~P67(x98963)+E(f318(x98961,x98962),f2(x98963))+~E(f318(f318(f8(x98964,x98963),x98961),x98965),f2(x98963))+~P1(f318(f55(x98964),x98965))+P1(f318(f318(f320(x98964),f515(x98962,x98961,x98965,x98964,x98963)),x98965))+~P1(f318(f318(f320(x98964),x98962),x98965))
% 202.92/202.79 [10029]~P67(x100293)+E(f318(x100291,x100292),f2(x100293))+~E(f318(f318(f8(x100294,x100293),x100291),x100295),f2(x100293))+~P1(f318(f55(x100294),x100295))+~P1(f318(f318(f320(x100294),x100292),x100295))+~P1(f318(f318(f225(x100293),f2(x100293)),f318(x100291,f515(x100292,x100291,x100295,x100294,x100293))))
% 202.92/202.79 [8526]~P143(x85261)+~P1(f318(f318(f225(x85261),x85263),x85265))+~P1(f318(f318(f225(x85261),x85262),x85264))+~P1(f318(f318(f225(x85261),f2(x85261)),x85263))+~P1(f318(f318(f225(x85261),f2(x85261)),x85264))+P1(f318(f318(f225(x85261),f318(f318(f74(x85261),x85262),x85263)),f318(f318(f74(x85261),x85264),x85265)))
% 202.92/202.79 [8527]~P143(x85271)+~P1(f318(f318(f225(x85271),x85273),x85275))+~P1(f318(f318(f225(x85271),x85272),x85274))+~P1(f318(f318(f225(x85271),f2(x85271)),x85273))+~P1(f318(f318(f225(x85271),f2(x85271)),x85272))+P1(f318(f318(f225(x85271),f318(f318(f74(x85271),x85272),x85273)),f318(f318(f74(x85271),x85274),x85275)))
% 202.92/202.79 [8528]~P77(x85281)+~P1(f318(f318(f226(x85281),f2(x85281)),x85285))+~P1(f318(f318(f225(x85281),x85285),x85283))+~P1(f318(f318(f225(x85281),x85282),x85284))+~P1(f318(f318(f225(x85281),f2(x85281)),x85282))+P1(f318(f318(f225(x85281),f318(f318(f282(x85281),x85282),x85283)),f318(f318(f282(x85281),x85284),x85285)))
% 202.92/202.79 [8529]~P133(x85291)+~P1(f318(f318(f225(x85291),x85293),x85295))+~P1(f318(f318(f225(x85291),f2(x85291)),x85292))+~P1(f318(f318(f226(x85291),x85292),x85294))+~P1(f318(f318(f226(x85291),f2(x85291)),x85293))+P1(f318(f318(f226(x85291),f318(f318(f74(x85291),x85292),x85293)),f318(f318(f74(x85291),x85294),x85295)))
% 202.92/202.79 [8530]~P133(x85301)+~P1(f318(f318(f225(x85301),x85302),x85304))+~P1(f318(f318(f225(x85301),f2(x85301)),x85303))+~P1(f318(f318(f226(x85301),x85303),x85305))+~P1(f318(f318(f226(x85301),f2(x85301)),x85302))+P1(f318(f318(f226(x85301),f318(f318(f74(x85301),x85302),x85303)),f318(f318(f74(x85301),x85304),x85305)))
% 202.92/202.79 [8531]~P133(x85311)+~P1(f318(f318(f225(x85311),f2(x85311)),x85313))+~P1(f318(f318(f225(x85311),f2(x85311)),x85312))+~P1(f318(f318(f226(x85311),x85313),x85315))+~P1(f318(f318(f226(x85311),x85312),x85314))+P1(f318(f318(f226(x85311),f318(f318(f74(x85311),x85312),x85313)),f318(f318(f74(x85311),x85314),x85315)))
% 202.92/202.79 [8532]~P133(x85321)+~P1(f318(f318(f225(x85321),f2(x85321)),x85323))+~P1(f318(f318(f226(x85321),x85323),x85325))+~P1(f318(f318(f226(x85321),x85322),x85324))+~P1(f318(f318(f226(x85321),f2(x85321)),x85324))+P1(f318(f318(f226(x85321),f318(f318(f74(x85321),x85322),x85323)),f318(f318(f74(x85321),x85324),x85325)))
% 202.92/202.79 [8533]~P77(x85331)+~P1(f318(f318(f225(x85331),x85335),x85333))+~P1(f318(f318(f225(x85331),f2(x85331)),x85332))+~P1(f318(f318(f226(x85331),x85332),x85334))+~P1(f318(f318(f226(x85331),f2(x85331)),x85335))+P1(f318(f318(f226(x85331),f318(f318(f282(x85331),x85332),x85333)),f318(f318(f282(x85331),x85334),x85335)))
% 202.92/202.79 [8534]~P77(x85341)+~P1(f318(f318(f225(x85341),x85342),x85344))+~P1(f318(f318(f226(x85341),x85345),x85343))+~P1(f318(f318(f226(x85341),f2(x85341)),x85345))+~P1(f318(f318(f226(x85341),f2(x85341)),x85342))+P1(f318(f318(f226(x85341),f318(f318(f282(x85341),x85342),x85343)),f318(f318(f282(x85341),x85344),x85345)))
% 202.92/202.79 [9940]~P83(x99405)+~P94(x99405)+E(x99401,f179(f927(x99402,a918)))+~P1(f318(f55(x99402),x99401))+P1(f318(f318(f320(x99402),f427(x99403,x99404,x99401,x99402,x99405)),x99401))+P1(f318(f318(f226(x99405),f318(f318(f8(x99402,x99405),x99404),x99401)),f318(f318(f8(x99402,x99405),x99403),x99401)))
% 202.92/202.79 [10054]~P92(x100541)+~P83(x100541)+~P1(f318(f55(x100542),x100545))+~P1(f318(f318(f225(x100541),f2(x100541)),f318(x100543,f425(x100543,x100544,x100545,x100542,x100541))))+P1(f318(f318(f225(x100541),f318(f318(f8(x100542,x100541),x100543),x100544)),f318(f318(f8(x100542,x100541),x100543),x100545)))+~P1(f318(f318(f225(f927(x100542,a918)),x100544),x100545))
% 202.92/202.79 [10223]~P83(x102233)+~P94(x102233)+E(x102231,f179(f927(x102232,a918)))+~P1(f318(f55(x102232),x102231))+~P1(f318(f318(f226(x102233),f318(x102234,f427(x102235,x102234,x102231,x102232,x102233))),f318(x102235,f427(x102235,x102234,x102231,x102232,x102233))))+P1(f318(f318(f226(x102233),f318(f318(f8(x102232,x102233),x102234),x102231)),f318(f318(f8(x102232,x102233),x102235),x102231)))
% 202.92/202.79 [7246]~P18(x72462,x72465,x72464)+E(x72461,f179(f927(x72462,a918)))+E(x72463,f179(f927(x72462,a918)))+~P1(f318(f55(x72462),x72461))+~P1(f318(f55(x72462),x72463))+E(f318(x72464,f318(f318(f101(f927(x72462,a918)),x72463),x72461)),f318(f318(x72465,f318(x72464,x72463)),f318(x72464,x72461)))
% 202.92/202.79 [7836]~P152(x78361,x78363,x78364)+P1(f318(x78361,x78362))+~P1(f318(f318(f226(a1),x78364),f2(a1)))+~P1(f318(f318(f225(a1),x78365),f2(a1)))+~E(x78363,f318(f318(f73(a1),f318(f318(f74(a1),x78364),x78362)),x78365))+~P1(f318(f318(f226(a1),x78364),x78365))
% 202.92/202.79 [7837]~P151(x78371,x78373,x78374)+P1(f318(x78371,x78372))+~P1(f318(f318(f226(a1),x78374),f2(a1)))+~P1(f318(f318(f225(a1),x78372),f2(a1)))+~E(x78373,f318(f318(f73(a1),f318(f318(f74(a1),x78374),x78375)),x78372))+~P1(f318(f318(f226(a1),x78374),x78372))
% 202.92/202.79 [7880]~P152(x78801,x78803,x78804)+P1(f318(x78801,x78802))+~E(x78803,f318(f318(f73(a1),f318(f318(f74(a1),x78804),x78802)),x78805))+~P1(f318(f318(f225(a1),f2(a1)),x78805))+~P1(f318(f318(f226(a1),f2(a1)),x78804))+~P1(f318(f318(f226(a1),x78805),x78804))
% 202.92/202.79 [7881]~P151(x78811,x78813,x78814)+P1(f318(x78811,x78812))+~E(x78813,f318(f318(f73(a1),f318(f318(f74(a1),x78814),x78815)),x78812))+~P1(f318(f318(f225(a1),f2(a1)),x78812))+~P1(f318(f318(f226(a1),f2(a1)),x78814))+~P1(f318(f318(f226(a1),x78812),x78814))
% 202.92/202.79 [8822]P1(f318(f318(x88221,x88222),x88223))+~P1(f318(f318(x88221,f318(f318(f30(a1),x88224),x88225)),f39(a1,x88224,x88225)))+~P1(f318(f318(f226(a1),x88225),f2(a1)))+~P1(f318(f318(f225(a1),x88223),f2(a1)))+~E(x88224,f318(f318(f73(a1),f318(f318(f74(a1),x88225),x88222)),x88223))+~P1(f318(f318(f226(a1),x88225),x88223))
% 202.92/202.79 [8831]P1(f318(f318(x88311,x88312),x88313))+~P1(f318(f318(x88311,f318(f318(f30(a1),x88314),x88315)),f39(a1,x88314,x88315)))+~E(x88314,f318(f318(f73(a1),f318(f318(f74(a1),x88315),x88312)),x88313))+~P1(f318(f318(f225(a1),f2(a1)),x88313))+~P1(f318(f318(f226(a1),f2(a1)),x88315))+~P1(f318(f318(f226(a1),x88313),x88315))
% 202.92/202.79 [9095]E(x90951,x90952)+~P59(x90953,x90955,x90954)+~P1(f318(f318(f320(x90953),x90952),x90955))+~P1(f318(f318(f320(x90953),x90951),x90955))+P1(f318(f318(f320(f926(x90953,x90953)),f318(f318(f243(x90953,x90953),x90951),x90952)),x90954))+P1(f318(f318(f320(f926(x90953,x90953)),f318(f318(f243(x90953,x90953),x90952),x90951)),x90954))
% 202.92/202.79 [9915]~P113(x99151)+~P113(x99152)+~P42(x99152,x99151,x99153)+~P1(f318(f318(f225(x99152),x99155),f511(x99154,x99153,x99152,x99151,x99155)))+E(f229(x99151,f318(f318(f9(x99151,f927(x99151,a918),a918),f320(x99151)),f318(f301(x99152,x99151,x99153),x99154))),f318(x99153,f229(x99152,f318(f318(f9(x99152,f927(x99152,a918),a918),f320(x99152)),x99154))))+~P1(f318(f318(f320(x99152),x99155),x99154))
% 202.92/202.79 [9968]~P92(x99685)+~P83(x99685)+~P1(f318(f55(x99681),x99684))+P1(f318(f318(f225(x99685),f318(f318(f8(x99681,x99685),x99682),x99683)),f318(f318(f8(x99681,x99685),x99682),x99684)))+~P1(f318(f318(f225(f927(x99681,a918)),x99683),x99684))+P1(f318(f318(f320(x99681),f425(x99682,x99683,x99684,x99681,x99685)),f318(f318(f3(f927(x99681,a918)),x99684),x99683)))
% 202.92/202.79 [9984]~P113(x99841)+~P113(x99842)+~P42(x99842,x99841,x99843)+E(f229(x99841,f318(f318(f9(x99841,f927(x99841,a918),a918),f320(x99841)),f318(f301(x99842,x99841,x99843),x99844))),f318(x99843,f229(x99842,f318(f318(f9(x99842,f927(x99842,a918),a918),f320(x99842)),x99844))))+~P1(f318(f318(f320(x99842),x99845),x99844))+P1(f318(f318(f320(x99842),f511(x99844,x99843,x99842,x99841,x99845)),x99844))
% 202.92/202.79 [10062]E(x100621,f179(f927(x100622,a918)))+~P1(f318(f55(x100622),x100623))+~P1(f318(f55(x100622),x100621))+P1(f318(f318(f320(f926(f927(x100622,a918),f927(x100622,a918))),f318(f318(f243(f927(x100622,a918),f927(x100622,a918)),x100623),x100621)),f310(x100622,x100624)))+~P1(f318(f318(f320(x100622),x100625),x100621))+~P1(f318(f318(f320(f926(x100622,x100622)),f318(f318(f243(x100622,x100622),f549(x100624,x100621,x100623,x100622)),x100625)),x100624))
% 202.92/202.79 [10063]E(x100631,f179(f927(x100632,a918)))+~P1(f318(f55(x100632),x100633))+~P1(f318(f55(x100632),x100631))+P1(f318(f318(f320(f926(f927(x100632,a918),f927(x100632,a918))),f318(f318(f243(f927(x100632,a918),f927(x100632,a918)),x100633),x100631)),f310(x100632,x100634)))+~P1(f318(f318(f320(x100632),x100635),x100631))+~P1(f318(f318(f320(f926(x100632,x100632)),f318(f318(f243(x100632,x100632),f609(x100634,x100631,x100633,x100632)),x100635)),x100634))
% 202.92/202.79 [10227]~P67(x102271)+~E(f318(f318(f8(x102275,x102271),x102272),x102276),x102274)+~P1(f318(f55(x102275),x102276))+P1(f318(f318(f320(x102275),f519(x102273,x102274,x102272,x102276,x102275,x102271)),x102276))+P1(f318(f318(f225(x102271),f318(x102272,x102273)),x102274))+~P1(f318(f318(f320(x102275),x102273),x102276))
% 202.92/202.79 [10275]~P67(x102751)+~E(f318(f318(f8(x102755,x102751),x102752),x102756),x102754)+~P1(f318(f55(x102755),x102756))+~P1(f318(f318(f320(x102755),x102753),x102756))+~P1(f318(f318(f225(x102751),f2(x102751)),f318(x102752,f519(x102753,x102754,x102752,x102756,x102755,x102751))))+P1(f318(f318(f225(x102751),f318(x102752,x102753)),x102754))
% 202.92/202.79 [10413]~E(x104135,x104138)+~E(x104134,x104137)+~P3(x104131)+~P83(x104132)+E(f318(f318(f8(x104131,x104132),x104133),f318(f293(x104131,x104134),x104135)),f318(f318(f8(x104131,x104132),x104136),f318(f293(x104131,x104137),x104138)))+P1(f318(f318(f225(x104131),x104134),f432(x104133,x104136,x104135,x104138,x104134,x104137,x104131,x104132)))
% 202.92/202.79 [10429]~E(x104297,x104294)+~E(x104298,x104295)+~P3(x104291)+~P83(x104292)+~E(f318(x104293,f432(x104296,x104293,x104298,x104295,x104297,x104294,x104291,x104292)),f318(x104296,f432(x104296,x104293,x104298,x104295,x104297,x104294,x104291,x104292)))+E(f318(f318(f8(x104291,x104292),x104293),f318(f293(x104291,x104294),x104295)),f318(f318(f8(x104291,x104292),x104296),f318(f293(x104291,x104297),x104298)))
% 202.92/202.79 [10434]~E(x104344,x104347)+~E(x104345,x104348)+~P3(x104341)+~P83(x104342)+E(f318(f318(f8(x104341,x104342),x104343),f318(f293(x104341,x104344),x104345)),f318(f318(f8(x104341,x104342),x104346),f318(f293(x104341,x104347),x104348)))+P1(f318(f318(f226(x104341),f432(x104343,x104346,x104345,x104348,x104344,x104347,x104341,x104342)),x104345))
% 202.92/202.79 [10069]~P8(x100695,x100699,x100696)+~P8(x100691,x1006910,x100693)+~P12(x100691,x100695,f927(x100692,a918),x100693,x100696,x100698)+~P1(f318(f318(f320(x100695),x100697),x100699))+~P1(f318(f318(f320(x100691),x100694),x1006910))+E(f318(f318(f33(x100691,f927(x100692,a918)),f318(f276(x100691,x100691,x100693),f318(f318(f300(x100691),x100694),f179(f927(x100691,a918))))),f318(f318(f10(f927(x100695,f927(x100692,a918)),f927(x100692,a918),x100691),f318(f33(x100695,f927(x100692,a918)),f318(f276(x100695,x100695,x100696),f318(f318(f300(x100695),x100697),f179(f927(x100695,a918)))))),x100698)),f318(f318(x100698,x100694),x100697))
% 202.92/202.79 [5748]~P4(x57483)+~P13(x57483,x57482)+~P13(x57483,x57481)+E(x57481,x57482)+~E(f318(f163(x57483),x57481),f318(f163(x57483),x57482))+~P1(f318(f128(x57483),x57482))+~P1(f318(f128(x57483),x57481))
% 202.92/202.79 [5078]~P129(x50782)+~P130(x50782)+~P150(x50782)+~P121(x50782)+~E(x50783,f2(x50782))+E(x50781,f2(a920))+E(f318(f318(f235(x50782),x50783),x50781),f2(x50782))
% 202.92/202.79 [9354]E(x93541,f2(a920))+~E(x93542,f318(f318(f73(a920),f318(f318(f74(a920),f318(f242(a920,a920),x93543)),x93541)),f318(f247(a920,a920),x93543)))+P1(f318(f42(x93542,x93541),x93543))+~P1(f318(f318(f225(a920),f318(f247(a920,a920),x93543)),f2(a920)))+~P1(f318(f318(f225(a920),f2(a920)),f318(f247(a920,a920),x93543)))+~P1(f318(f318(f226(a920),x93541),f318(f247(a920,a920),x93543)))+~P1(f318(f318(f226(a920),f318(f247(a920,a920),x93543)),x93541))
% 202.92/202.79 [9363]~E(f318(f242(a920,a920),x93633),f2(a920))+~E(x93631,f318(f318(f73(a920),f318(f318(f74(a920),f318(f242(a920,a920),x93633)),x93632)),f318(f247(a920,a920),x93633)))+P1(f318(f42(x93631,x93632),x93633))+~P1(f318(f318(f225(a920),f318(f247(a920,a920),x93633)),f2(a920)))+~P1(f318(f318(f225(a920),f2(a920)),f318(f247(a920,a920),x93633)))+~P1(f318(f318(f226(a920),x93632),f318(f247(a920,a920),x93633)))+~P1(f318(f318(f226(a920),f318(f247(a920,a920),x93633)),x93632))
% 202.92/202.79 [8192]~P78(x81922)+E(x81921,f179(f927(x81922,a918)))+E(x81923,f179(f927(x81922,a918)))+~P1(f318(f55(x81922),x81921))+~P1(f318(f55(x81922),x81923))+~E(f318(f318(f92(f927(x81922,a918)),x81923),x81921),f179(f927(x81922,a918)))+E(f318(f318(f74(x81922),f318(f57(x81922,f74(x81922)),x81923)),f318(f57(x81922,f74(x81922)),x81921)),f318(f57(x81922,f74(x81922)),f318(f318(f101(f927(x81922,a918)),x81923),x81921)))
% 202.92/202.79 [7974]E(x79741,f2(a1))+E(f318(f318(f30(a1),x79742),x79741),x79743)+~P1(f318(f318(f225(a1),x79744),f2(a1)))+~E(x79742,f318(f318(f73(a1),f318(f318(f74(a1),x79741),x79743)),x79744))+~P1(f318(f318(f225(a1),f2(a1)),x79744))+~P1(f318(f318(f226(a1),x79744),x79741))+~P1(f318(f318(f226(a1),x79741),x79744))
% 202.92/202.79 [7982]E(f39(a1,x79822,x79821),x79823)+E(x79821,f2(a1))+~P1(f318(f318(f225(a1),x79823),f2(a1)))+~E(x79822,f318(f318(f73(a1),f318(f318(f74(a1),x79821),x79824)),x79823))+~P1(f318(f318(f225(a1),f2(a1)),x79823))+~P1(f318(f318(f226(a1),x79823),x79821))+~P1(f318(f318(f226(a1),x79821),x79823))
% 202.92/202.79 [7028]~P70(x70282)+E(x70281,f2(x70282))+E(x70283,f2(x70282))+~E(f318(f318(f30(x70282),x70284),x70283),f318(f318(f30(x70282),x70285),x70281))+E(f318(f318(f74(x70282),x70284),x70281),f318(f318(f74(x70282),x70283),x70285))+~P1(f318(f318(f278(x70282),x70281),x70285))+~P1(f318(f318(f278(x70282),x70283),x70284))
% 202.92/202.79 [7029]~P70(x70292)+E(x70291,f2(x70292))+E(x70293,f2(x70292))+~E(f318(f318(f74(x70292),x70294),x70293),f318(f318(f74(x70292),x70291),x70295))+E(f318(f318(f30(x70292),x70294),x70291),f318(f318(f30(x70292),x70295),x70293))+~P1(f318(f318(f278(x70292),x70291),x70294))+~P1(f318(f318(f278(x70292),x70293),x70295))
% 202.92/202.79 [7889]~P19(x78892,x78895,x78894)+E(x78891,f179(f927(x78892,a918)))+E(x78893,f179(f927(x78892,a918)))+~P1(f318(f55(x78892),x78891))+~P1(f318(f55(x78892),x78893))+~E(f318(f318(f92(f927(x78892,a918)),x78893),x78891),f179(f927(x78892,a918)))+E(f318(x78894,f318(f318(f101(f927(x78892,a918)),x78893),x78891)),f318(f318(x78895,f318(x78894,x78893)),f318(x78894,x78891)))
% 202.92/202.79 [9604]~P25(x96043,x96041,x96045,x96044)+~P25(x96041,x96043,x96046,x96042)+E(f318(f29(x96041),x96042),f318(f29(x96043),x96044))+~P1(f318(f55(x96043),x96044))+~P1(f318(f55(x96041),x96042))+~P1(f318(f318(f225(f927(x96043,a918)),f318(f301(x96041,x96043,x96046),x96042)),x96044))+~P1(f318(f318(f225(f927(x96041,a918)),f318(f301(x96043,x96041,x96045),x96044)),x96042))
% 202.92/202.79 [9546]~P1(f318(f318(f226(a1),f318(f318(f73(a1),f318(f318(f74(a1),x95465),x95461)),x95466)),f2(a1)))+~E(f318(f318(f73(a1),f318(f318(f74(a1),x95463),x95462)),x95464),f318(f318(f73(a1),f318(f318(f74(a1),x95465),x95461)),x95466))+~P1(f318(f318(f225(a1),f2(a1)),x95466))+~P1(f318(f318(f226(a1),f2(a1)),x95465))+~P1(f318(f318(f225(a1),x95465),x95463))+~P1(f318(f318(f226(a1),x95464),x95463))+P1(f318(f318(f225(a1),x95461),x95462))
% 202.92/202.79 [9304]~E(f318(f318(f73(a1),f318(f318(f74(a1),x93043),x93041)),x93044),f318(f318(f73(a1),f318(f318(f74(a1),x93045),x93042)),x93046))+~P1(f318(f318(f225(a1),f2(a1)),x93044))+~P1(f318(f318(f226(a1),f2(a1)),x93045))+~P1(f318(f318(f225(a1),x93045),x93043))+~P1(f318(f318(f226(a1),x93046),x93045))+P1(f318(f318(f225(a1),x93041),x93042))+~P1(f318(f318(f225(a1),f2(a1)),f318(f318(f73(a1),f318(f318(f74(a1),x93045),x93042)),x93046)))
% 202.92/202.79 [9485]~P136(x94851)+~E(f318(f318(f73(x94851),x94852),x94854),f71(x94851))+~P1(f318(f318(f225(x94851),x94855),x94856))+~P1(f318(f318(f225(x94851),x94853),x94856))+~P1(f318(f318(f225(x94851),f2(x94851)),x94854))+~P1(f318(f318(f225(x94851),f2(x94851)),x94852))+P1(f318(f318(f225(x94851),f318(f318(f73(x94851),f318(f318(f74(x94851),x94852),x94853)),f318(f318(f74(x94851),x94854),x94855))),x94856))
% 202.92/202.79 [9486]~P137(x94861)+~E(f318(f318(f73(x94861),x94862),x94864),f71(x94861))+~P1(f318(f318(f225(x94861),f2(x94861)),x94864))+~P1(f318(f318(f225(x94861),f2(x94861)),x94862))+~P1(f318(f318(f226(x94861),x94865),x94866))+~P1(f318(f318(f226(x94861),x94863),x94866))+P1(f318(f318(f226(x94861),f318(f318(f73(x94861),f318(f318(f74(x94861),x94862),x94863)),f318(f318(f74(x94861),x94864),x94865))),x94866))
% 202.92/202.79 [10323]~P8(x103237,x103236,x103235)+E(x103231,x103232)+~P11(x103237,f927(x103234,a918),x103235,x103233)+E(f318(x103233,f534(x103231,x103232,x103233,x103234,x103235,x103236,x103237)),f318(x103233,f535(x103231,x103232,x103233,x103234,x103235,x103236,x103237)))+~E(f318(f318(f33(x103237,f927(x103234,a918)),x103231),x103233),f318(f318(f33(x103237,f927(x103234,a918)),x103232),x103233))+~P1(f318(f318(f320(f927(x103237,a918)),x103232),f318(f318(f54(x103237),x103236),x103235)))+~P1(f318(f318(f320(f927(x103237,a918)),x103231),f318(f318(f54(x103237),x103236),x103235)))
% 202.92/202.79 [10368]~P8(x103683,x103687,x103686)+E(x103681,x103682)+~P11(x103683,f927(x103685,a918),x103686,x103684)+~E(f318(f318(f33(x103683,f927(x103685,a918)),x103681),x103684),f318(f318(f33(x103683,f927(x103685,a918)),x103682),x103684))+P1(f318(f318(f320(x103683),f535(x103681,x103682,x103684,x103685,x103686,x103687,x103683)),x103687))+~P1(f318(f318(f320(f927(x103683,a918)),x103682),f318(f318(f54(x103683),x103687),x103686)))+~P1(f318(f318(f320(f927(x103683,a918)),x103681),f318(f318(f54(x103683),x103687),x103686)))
% 202.92/202.79 [10369]~P8(x103693,x103697,x103696)+E(x103691,x103692)+~P11(x103693,f927(x103695,a918),x103696,x103694)+~E(f318(f318(f33(x103693,f927(x103695,a918)),x103691),x103694),f318(f318(f33(x103693,f927(x103695,a918)),x103692),x103694))+P1(f318(f318(f320(x103693),f534(x103691,x103692,x103694,x103695,x103696,x103697,x103693)),x103697))+~P1(f318(f318(f320(f927(x103693,a918)),x103692),f318(f318(f54(x103693),x103697),x103696)))+~P1(f318(f318(f320(f927(x103693,a918)),x103691),f318(f318(f54(x103693),x103697),x103696)))
% 202.92/202.79 [10450]E(x104501,x104502)+~P8(x104503,x104506,x104507)+~P11(x104503,f927(x104504,a918),x104507,x104505)+~E(f318(f318(f33(x104503,f927(x104504,a918)),x104501),x104505),f318(f318(f33(x104503,f927(x104504,a918)),x104502),x104505))+~P1(f318(f318(f320(f926(x104503,x104503)),f318(f318(f243(x104503,x104503),f535(x104501,x104502,x104505,x104504,x104507,x104506,x104503)),f534(x104501,x104502,x104505,x104504,x104507,x104506,x104503))),x104507))+~P1(f318(f318(f320(f927(x104503,a918)),x104502),f318(f318(f54(x104503),x104506),x104507)))+~P1(f318(f318(f320(f927(x104503,a918)),x104501),f318(f318(f54(x104503),x104506),x104507)))
% 202.92/202.79 [9303]~P8(x93031,x93037,x93034)+~E(x93035,x93036)+~P1(f318(f318(f320(x93031),x93033),x93036))+~P1(f318(f318(f320(x93031),x93032),x93035))+~P1(f318(f318(f320(f927(x93031,a918)),x93036),f318(f318(f54(x93031),x93037),x93034)))+~P1(f318(f318(f320(f927(x93031,a918)),x93035),f318(f318(f54(x93031),x93037),x93034)))+P1(f318(f318(f320(f926(x93031,x93031)),f318(f318(f243(x93031,x93031),x93032),x93033)),x93034))
% 202.92/202.79 [9442]E(x94421,x94422)+~P8(x94423,x94424,x94425)+~P1(f318(f318(f320(x94423),x94426),x94422))+~P1(f318(f318(f320(x94423),x94427),x94421))+~P1(f318(f318(f320(f927(x94423,a918)),x94422),f318(f318(f54(x94423),x94424),x94425)))+~P1(f318(f318(f320(f927(x94423,a918)),x94421),f318(f318(f54(x94423),x94424),x94425)))+~P1(f318(f318(f320(f926(x94423,x94423)),f318(f318(f243(x94423,x94423),x94427),x94426)),x94425))
% 202.92/202.79 [10478]~P8(x104789,x104788,x104787)+~P8(x104781,x1047811,x1047810)+~P12(x104781,x104789,f927(x104786,a918),x1047810,x104787,x104785)+P1(f318(f318(f320(x104781),f540(x104782,x104783,x104784,x104785,x104786,x104787,x104788,x104789,x1047810,x1047811,x104781)),x1047811))+~P1(f318(f318(f320(f927(x104789,a918)),x104783),f318(f318(f54(x104789),x104788),x104787)))+~P1(f318(f318(f320(f927(x104781,a918)),x104784),f318(f318(f54(x104781),x1047811),x1047810)))+P1(f318(f318(f320(f927(x104786,a918)),f318(f318(f33(x104781,f927(x104786,a918)),x104784),f318(f318(f10(f927(x104789,f927(x104786,a918)),f927(x104786,a918),x104781),f318(f33(x104789,f927(x104786,a918)),x104783)),x104785))),x104782))
% 202.92/202.79 [10479]~P8(x1047911,x1047910,x104799)+~P8(x104791,x104798,x104797)+~P12(x1047911,x104791,f927(x104796,a918),x104799,x104797,x104795)+P1(f318(f318(f320(x104791),f541(x104792,x104793,x104794,x104795,x104796,x104797,x104798,x104791,x104799,x1047910,x1047911)),x104798))+~P1(f318(f318(f320(f927(x1047911,a918)),x104794),f318(f318(f54(x1047911),x1047910),x104799)))+~P1(f318(f318(f320(f927(x104791,a918)),x104793),f318(f318(f54(x104791),x104798),x104797)))+P1(f318(f318(f320(f927(x104796,a918)),f318(f318(f33(x1047911,f927(x104796,a918)),x104794),f318(f318(f10(f927(x104791,f927(x104796,a918)),f927(x104796,a918),x1047911),f318(f33(x104791,f927(x104796,a918)),x104793)),x104795))),x104792))
% 202.92/202.79 [10480]~P8(x104802,x104808,x104809)+~P8(x104804,x1048010,x1048011)+~P12(x104802,x104804,f927(x104801,a918),x104809,x1048011,x104806)+~P1(f318(f318(f320(f927(x104802,a918)),x104803),f318(f318(f54(x104802),x104808),x104809)))+~P1(f318(f318(f320(f927(x104804,a918)),x104805),f318(f318(f54(x104804),x1048010),x1048011)))+~P1(f318(f318(f320(f927(x104801,a918)),f318(f318(x104806,f540(x104807,x104805,x104803,x104806,x104801,x1048011,x1048010,x104804,x104809,x104808,x104802)),f541(x104807,x104805,x104803,x104806,x104801,x1048011,x1048010,x104804,x104809,x104808,x104802))),x104807))+P1(f318(f318(f320(f927(x104801,a918)),f318(f318(f33(x104802,f927(x104801,a918)),x104803),f318(f318(f10(f927(x104804,f927(x104801,a918)),f927(x104801,a918),x104802),f318(f33(x104804,f927(x104801,a918)),x104805)),x104806))),x104807))
% 202.92/202.79 [9339]E(x93391,x93392)+~P4(x93394)+~P25(x93393,x93394,x93395,f318(f318(f101(f927(x93393,a918)),f318(f163(x93393),x93391)),f318(f163(x93393),x93392)))+~E(f318(f163(x93393),x93391),f318(f163(x93393),x93392))+~P13(x93394,f318(f318(f145(x93393,x93394),x93395),x93392))+~P13(x93394,f318(f318(f145(x93393,x93394),x93395),x93391))+~P1(f318(f128(x93394),f318(f318(f145(x93393,x93394),x93395),x93392)))+~P1(f318(f128(x93394),f318(f318(f145(x93393,x93394),x93395),x93391)))
% 202.92/202.79 %EqnAxiom
% 202.92/202.79 [1]E(x11,x11)
% 202.92/202.79 [2]E(x22,x21)+~E(x21,x22)
% 202.92/202.79 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 202.92/202.79 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 202.92/202.79 [5]~E(x51,x52)+E(f3(x51),f3(x52))
% 202.92/202.79 [6]~E(x61,x62)+E(f91(x61),f91(x62))
% 202.92/202.79 [7]~E(x71,x72)+E(f179(x71),f179(x72))
% 202.92/202.79 [8]~E(x81,x82)+E(f318(x81,x83),f318(x82,x83))
% 202.92/202.79 [9]~E(x91,x92)+E(f318(x93,x91),f318(x93,x92))
% 202.92/202.79 [10]~E(x101,x102)+E(f92(x101),f92(x102))
% 202.92/202.79 [11]~E(x111,x112)+E(f223(x111),f223(x112))
% 202.92/202.79 [12]~E(x121,x122)+E(f101(x121),f101(x122))
% 202.92/202.79 [13]~E(x131,x132)+E(f224(x131),f224(x132))
% 202.92/202.79 [14]~E(x141,x142)+E(f93(x141),f93(x142))
% 202.92/202.79 [15]~E(x151,x152)+E(f25(x151),f25(x152))
% 202.92/202.79 [16]~E(x161,x162)+E(f77(x161),f77(x162))
% 202.92/202.79 [17]~E(x171,x172)+E(f927(x171,x173),f927(x172,x173))
% 202.92/202.79 [18]~E(x181,x182)+E(f927(x183,x181),f927(x183,x182))
% 202.92/202.79 [19]~E(x191,x192)+E(f163(x191),f163(x192))
% 202.92/202.79 [20]~E(x201,x202)+E(f160(x201,x203,x204),f160(x202,x203,x204))
% 202.92/202.79 [21]~E(x211,x212)+E(f160(x213,x211,x214),f160(x213,x212,x214))
% 202.92/202.79 [22]~E(x221,x222)+E(f160(x223,x224,x221),f160(x223,x224,x222))
% 202.92/202.79 [23]~E(x231,x232)+E(f541(x231,x233,x234,x235,x236,x237,x238,x239,x2310,x2311,x2312),f541(x232,x233,x234,x235,x236,x237,x238,x239,x2310,x2311,x2312))
% 202.92/202.79 [24]~E(x241,x242)+E(f541(x243,x241,x244,x245,x246,x247,x248,x249,x2410,x2411,x2412),f541(x243,x242,x244,x245,x246,x247,x248,x249,x2410,x2411,x2412))
% 202.92/202.79 [25]~E(x251,x252)+E(f541(x253,x254,x251,x255,x256,x257,x258,x259,x2510,x2511,x2512),f541(x253,x254,x252,x255,x256,x257,x258,x259,x2510,x2511,x2512))
% 202.92/202.79 [26]~E(x261,x262)+E(f541(x263,x264,x265,x261,x266,x267,x268,x269,x2610,x2611,x2612),f541(x263,x264,x265,x262,x266,x267,x268,x269,x2610,x2611,x2612))
% 202.92/202.79 [27]~E(x271,x272)+E(f541(x273,x274,x275,x276,x271,x277,x278,x279,x2710,x2711,x2712),f541(x273,x274,x275,x276,x272,x277,x278,x279,x2710,x2711,x2712))
% 202.92/202.79 [28]~E(x281,x282)+E(f541(x283,x284,x285,x286,x287,x281,x288,x289,x2810,x2811,x2812),f541(x283,x284,x285,x286,x287,x282,x288,x289,x2810,x2811,x2812))
% 202.92/202.79 [29]~E(x291,x292)+E(f541(x293,x294,x295,x296,x297,x298,x291,x299,x2910,x2911,x2912),f541(x293,x294,x295,x296,x297,x298,x292,x299,x2910,x2911,x2912))
% 202.92/202.79 [30]~E(x301,x302)+E(f541(x303,x304,x305,x306,x307,x308,x309,x301,x3010,x3011,x3012),f541(x303,x304,x305,x306,x307,x308,x309,x302,x3010,x3011,x3012))
% 202.92/202.79 [31]~E(x311,x312)+E(f541(x313,x314,x315,x316,x317,x318,x319,x3110,x311,x3111,x3112),f541(x313,x314,x315,x316,x317,x318,x319,x3110,x312,x3111,x3112))
% 202.92/202.79 [32]~E(x321,x322)+E(f541(x323,x324,x325,x326,x327,x328,x329,x3210,x3211,x321,x3212),f541(x323,x324,x325,x326,x327,x328,x329,x3210,x3211,x322,x3212))
% 202.92/202.79 [33]~E(x331,x332)+E(f541(x333,x334,x335,x336,x337,x338,x339,x3310,x3311,x3312,x331),f541(x333,x334,x335,x336,x337,x338,x339,x3310,x3311,x3312,x332))
% 202.92/202.79 [34]~E(x341,x342)+E(f71(x341),f71(x342))
% 202.92/202.79 [35]~E(x351,x352)+E(f226(x351),f226(x352))
% 202.92/202.79 [36]~E(x361,x362)+E(f6(x361),f6(x362))
% 202.92/202.79 [37]~E(x371,x372)+E(f540(x371,x373,x374,x375,x376,x377,x378,x379,x3710,x3711,x3712),f540(x372,x373,x374,x375,x376,x377,x378,x379,x3710,x3711,x3712))
% 202.92/202.79 [38]~E(x381,x382)+E(f540(x383,x381,x384,x385,x386,x387,x388,x389,x3810,x3811,x3812),f540(x383,x382,x384,x385,x386,x387,x388,x389,x3810,x3811,x3812))
% 202.92/202.79 [39]~E(x391,x392)+E(f540(x393,x394,x391,x395,x396,x397,x398,x399,x3910,x3911,x3912),f540(x393,x394,x392,x395,x396,x397,x398,x399,x3910,x3911,x3912))
% 202.92/202.79 [40]~E(x401,x402)+E(f540(x403,x404,x405,x401,x406,x407,x408,x409,x4010,x4011,x4012),f540(x403,x404,x405,x402,x406,x407,x408,x409,x4010,x4011,x4012))
% 202.92/202.79 [41]~E(x411,x412)+E(f540(x413,x414,x415,x416,x411,x417,x418,x419,x4110,x4111,x4112),f540(x413,x414,x415,x416,x412,x417,x418,x419,x4110,x4111,x4112))
% 202.92/202.79 [42]~E(x421,x422)+E(f540(x423,x424,x425,x426,x427,x421,x428,x429,x4210,x4211,x4212),f540(x423,x424,x425,x426,x427,x422,x428,x429,x4210,x4211,x4212))
% 202.92/202.79 [43]~E(x431,x432)+E(f540(x433,x434,x435,x436,x437,x438,x431,x439,x4310,x4311,x4312),f540(x433,x434,x435,x436,x437,x438,x432,x439,x4310,x4311,x4312))
% 202.92/202.79 [44]~E(x441,x442)+E(f540(x443,x444,x445,x446,x447,x448,x449,x441,x4410,x4411,x4412),f540(x443,x444,x445,x446,x447,x448,x449,x442,x4410,x4411,x4412))
% 202.92/202.79 [45]~E(x451,x452)+E(f540(x453,x454,x455,x456,x457,x458,x459,x4510,x451,x4511,x4512),f540(x453,x454,x455,x456,x457,x458,x459,x4510,x452,x4511,x4512))
% 202.92/202.79 [46]~E(x461,x462)+E(f540(x463,x464,x465,x466,x467,x468,x469,x4610,x4611,x461,x4612),f540(x463,x464,x465,x466,x467,x468,x469,x4610,x4611,x462,x4612))
% 202.92/202.79 [47]~E(x471,x472)+E(f540(x473,x474,x475,x476,x477,x478,x479,x4710,x4711,x4712,x471),f540(x473,x474,x475,x476,x477,x478,x479,x4710,x4711,x4712,x472))
% 202.92/202.79 [48]~E(x481,x482)+E(f320(x481),f320(x482))
% 202.92/202.79 [49]~E(x491,x492)+E(f102(x491),f102(x492))
% 202.92/202.79 [50]~E(x501,x502)+E(f667(x501,x503,x504),f667(x502,x503,x504))
% 202.92/202.79 [51]~E(x511,x512)+E(f667(x513,x511,x514),f667(x513,x512,x514))
% 202.92/202.79 [52]~E(x521,x522)+E(f667(x523,x524,x521),f667(x523,x524,x522))
% 202.92/202.79 [53]~E(x531,x532)+E(f919(x531),f919(x532))
% 202.92/202.79 [54]~E(x541,x542)+E(f924(x541),f924(x542))
% 202.92/202.79 [55]~E(x551,x552)+E(f921(x551),f921(x552))
% 202.92/202.79 [56]~E(x561,x562)+E(f922(x561),f922(x562))
% 202.92/202.79 [57]~E(x571,x572)+E(f72(x571),f72(x572))
% 202.92/202.79 [58]~E(x581,x582)+E(f80(x581),f80(x582))
% 202.92/202.79 [59]~E(x591,x592)+E(f94(x591),f94(x592))
% 202.92/202.79 [60]~E(x601,x602)+E(f282(x601),f282(x602))
% 202.92/202.79 [61]~E(x611,x612)+E(f180(x611),f180(x612))
% 202.92/202.79 [62]~E(x621,x622)+E(f10(x621,x623,x624),f10(x622,x623,x624))
% 202.92/202.79 [63]~E(x631,x632)+E(f10(x633,x631,x634),f10(x633,x632,x634))
% 202.92/202.79 [64]~E(x641,x642)+E(f10(x643,x644,x641),f10(x643,x644,x642))
% 202.92/202.79 [65]~E(x651,x652)+E(f225(x651),f225(x652))
% 202.92/202.79 [66]~E(x661,x662)+E(f247(x661,x663),f247(x662,x663))
% 202.92/202.79 [67]~E(x671,x672)+E(f247(x673,x671),f247(x673,x672))
% 202.92/202.79 [68]~E(x681,x682)+E(f253(x681),f253(x682))
% 202.92/202.79 [69]~E(x691,x692)+E(f32(x691,x693),f32(x692,x693))
% 202.92/202.79 [70]~E(x701,x702)+E(f32(x703,x701),f32(x703,x702))
% 202.92/202.79 [71]~E(x711,x712)+E(f301(x711,x713,x714),f301(x712,x713,x714))
% 202.92/202.79 [72]~E(x721,x722)+E(f301(x723,x721,x724),f301(x723,x722,x724))
% 202.92/202.79 [73]~E(x731,x732)+E(f301(x733,x734,x731),f301(x733,x734,x732))
% 202.92/202.79 [74]~E(x741,x742)+E(f54(x741),f54(x742))
% 202.92/202.79 [75]~E(x751,x752)+E(f926(x751,x753),f926(x752,x753))
% 202.92/202.79 [76]~E(x761,x762)+E(f926(x763,x761),f926(x763,x762))
% 202.92/202.79 [77]~E(x771,x772)+E(f7(x771),f7(x772))
% 202.92/202.79 [78]~E(x781,x782)+E(f29(x781),f29(x782))
% 202.92/202.79 [79]~E(x791,x792)+E(f139(x791,x793,x794),f139(x792,x793,x794))
% 202.92/202.79 [80]~E(x801,x802)+E(f139(x803,x801,x804),f139(x803,x802,x804))
% 202.92/202.79 [81]~E(x811,x812)+E(f139(x813,x814,x811),f139(x813,x814,x812))
% 202.92/202.79 [82]~E(x821,x822)+E(f73(x821),f73(x822))
% 202.92/202.79 [83]~E(x831,x832)+E(f11(x831,x833),f11(x832,x833))
% 202.92/202.79 [84]~E(x841,x842)+E(f11(x843,x841),f11(x843,x842))
% 202.92/202.79 [85]~E(x851,x852)+E(f311(x851,x853,x854,x855),f311(x852,x853,x854,x855))
% 202.92/202.79 [86]~E(x861,x862)+E(f311(x863,x861,x864,x865),f311(x863,x862,x864,x865))
% 202.92/202.79 [87]~E(x871,x872)+E(f311(x873,x874,x871,x875),f311(x873,x874,x872,x875))
% 202.92/202.79 [88]~E(x881,x882)+E(f311(x883,x884,x885,x881),f311(x883,x884,x885,x882))
% 202.92/202.79 [89]~E(x891,x892)+E(f9(x891,x893,x894),f9(x892,x893,x894))
% 202.92/202.79 [90]~E(x901,x902)+E(f9(x903,x901,x904),f9(x903,x902,x904))
% 202.92/202.79 [91]~E(x911,x912)+E(f9(x913,x914,x911),f9(x913,x914,x912))
% 202.92/202.79 [92]~E(x921,x922)+E(f300(x921),f300(x922))
% 202.92/202.79 [93]~E(x931,x932)+E(f8(x931,x933),f8(x932,x933))
% 202.92/202.79 [94]~E(x941,x942)+E(f8(x943,x941),f8(x943,x942))
% 202.92/202.79 [95]~E(x951,x952)+E(f74(x951),f74(x952))
% 202.92/202.79 [96]~E(x961,x962)+E(f69(x961),f69(x962))
% 202.92/202.79 [97]~E(x971,x972)+E(f55(x971),f55(x972))
% 202.92/202.79 [98]~E(x981,x982)+E(f792(x981,x983,x984,x985,x986,x987,x988),f792(x982,x983,x984,x985,x986,x987,x988))
% 202.92/202.79 [99]~E(x991,x992)+E(f792(x993,x991,x994,x995,x996,x997,x998),f792(x993,x992,x994,x995,x996,x997,x998))
% 202.92/202.79 [100]~E(x1001,x1002)+E(f792(x1003,x1004,x1001,x1005,x1006,x1007,x1008),f792(x1003,x1004,x1002,x1005,x1006,x1007,x1008))
% 202.92/202.79 [101]~E(x1011,x1012)+E(f792(x1013,x1014,x1015,x1011,x1016,x1017,x1018),f792(x1013,x1014,x1015,x1012,x1016,x1017,x1018))
% 202.92/202.79 [102]~E(x1021,x1022)+E(f792(x1023,x1024,x1025,x1026,x1021,x1027,x1028),f792(x1023,x1024,x1025,x1026,x1022,x1027,x1028))
% 202.92/202.79 [103]~E(x1031,x1032)+E(f792(x1033,x1034,x1035,x1036,x1037,x1031,x1038),f792(x1033,x1034,x1035,x1036,x1037,x1032,x1038))
% 202.92/202.79 [104]~E(x1041,x1042)+E(f792(x1043,x1044,x1045,x1046,x1047,x1048,x1041),f792(x1043,x1044,x1045,x1046,x1047,x1048,x1042))
% 202.92/202.79 [105]~E(x1051,x1052)+E(f58(x1051,x1053,x1054),f58(x1052,x1053,x1054))
% 202.92/202.79 [106]~E(x1061,x1062)+E(f58(x1063,x1061,x1064),f58(x1063,x1062,x1064))
% 202.92/202.79 [107]~E(x1071,x1072)+E(f58(x1073,x1074,x1071),f58(x1073,x1074,x1072))
% 202.92/202.79 [108]~E(x1081,x1082)+E(f545(x1081,x1083,x1084,x1085,x1086),f545(x1082,x1083,x1084,x1085,x1086))
% 202.92/202.79 [109]~E(x1091,x1092)+E(f545(x1093,x1091,x1094,x1095,x1096),f545(x1093,x1092,x1094,x1095,x1096))
% 202.92/202.79 [110]~E(x1101,x1102)+E(f545(x1103,x1104,x1101,x1105,x1106),f545(x1103,x1104,x1102,x1105,x1106))
% 202.92/202.79 [111]~E(x1111,x1112)+E(f545(x1113,x1114,x1115,x1111,x1116),f545(x1113,x1114,x1115,x1112,x1116))
% 202.92/202.79 [112]~E(x1121,x1122)+E(f545(x1123,x1124,x1125,x1126,x1121),f545(x1123,x1124,x1125,x1126,x1122))
% 202.92/202.79 [113]~E(x1131,x1132)+E(f104(x1131),f104(x1132))
% 202.92/202.79 [114]~E(x1141,x1142)+E(f278(x1141),f278(x1142))
% 202.92/202.79 [115]~E(x1151,x1152)+E(f148(x1151,x1153),f148(x1152,x1153))
% 202.92/202.79 [116]~E(x1161,x1162)+E(f148(x1163,x1161),f148(x1163,x1162))
% 202.92/202.79 [117]~E(x1171,x1172)+E(f39(x1171,x1173,x1174),f39(x1172,x1173,x1174))
% 202.92/202.79 [118]~E(x1181,x1182)+E(f39(x1183,x1181,x1184),f39(x1183,x1182,x1184))
% 202.92/202.79 [119]~E(x1191,x1192)+E(f39(x1193,x1194,x1191),f39(x1193,x1194,x1192))
% 202.92/202.79 [120]~E(x1201,x1202)+E(f235(x1201),f235(x1202))
% 202.92/202.79 [121]~E(x1211,x1212)+E(f245(x1211,x1213),f245(x1212,x1213))
% 202.92/202.79 [122]~E(x1221,x1222)+E(f245(x1223,x1221),f245(x1223,x1222))
% 202.92/202.79 [123]~E(x1231,x1232)+E(f696(x1231,x1233,x1234),f696(x1232,x1233,x1234))
% 202.92/202.79 [124]~E(x1241,x1242)+E(f696(x1243,x1241,x1244),f696(x1243,x1242,x1244))
% 202.92/202.79 [125]~E(x1251,x1252)+E(f696(x1253,x1254,x1251),f696(x1253,x1254,x1252))
% 202.92/202.79 [126]~E(x1261,x1262)+E(f243(x1261,x1263),f243(x1262,x1263))
% 202.92/202.79 [127]~E(x1271,x1272)+E(f243(x1273,x1271),f243(x1273,x1272))
% 202.92/202.79 [128]~E(x1281,x1282)+E(f242(x1281,x1283),f242(x1282,x1283))
% 202.92/202.79 [129]~E(x1291,x1292)+E(f242(x1293,x1291),f242(x1293,x1292))
% 202.92/202.79 [130]~E(x1301,x1302)+E(f734(x1301,x1303),f734(x1302,x1303))
% 202.92/202.79 [131]~E(x1311,x1312)+E(f734(x1313,x1311),f734(x1313,x1312))
% 202.92/202.79 [132]~E(x1321,x1322)+E(f306(x1321,x1323),f306(x1322,x1323))
% 202.92/202.79 [133]~E(x1331,x1332)+E(f306(x1333,x1331),f306(x1333,x1332))
% 202.92/202.79 [134]~E(x1341,x1342)+E(f157(x1341,x1343,x1344),f157(x1342,x1343,x1344))
% 202.92/202.79 [135]~E(x1351,x1352)+E(f157(x1353,x1351,x1354),f157(x1353,x1352,x1354))
% 202.92/202.79 [136]~E(x1361,x1362)+E(f157(x1363,x1364,x1361),f157(x1363,x1364,x1362))
% 202.92/202.79 [137]~E(x1371,x1372)+E(f20(x1371,x1373,x1374),f20(x1372,x1373,x1374))
% 202.92/202.79 [138]~E(x1381,x1382)+E(f20(x1383,x1381,x1384),f20(x1383,x1382,x1384))
% 202.92/202.79 [139]~E(x1391,x1392)+E(f20(x1393,x1394,x1391),f20(x1393,x1394,x1392))
% 202.92/202.79 [140]~E(x1401,x1402)+E(f87(x1401,x1403),f87(x1402,x1403))
% 202.92/202.79 [141]~E(x1411,x1412)+E(f87(x1413,x1411),f87(x1413,x1412))
% 202.92/202.79 [142]~E(x1421,x1422)+E(f96(x1421),f96(x1422))
% 202.92/202.79 [143]~E(x1431,x1432)+E(f98(x1431),f98(x1432))
% 202.92/202.79 [144]~E(x1441,x1442)+E(f319(x1441),f319(x1442))
% 202.92/202.79 [145]~E(x1451,x1452)+E(f33(x1451,x1453),f33(x1452,x1453))
% 202.92/202.79 [146]~E(x1461,x1462)+E(f33(x1463,x1461),f33(x1463,x1462))
% 202.92/202.79 [147]~E(x1471,x1472)+E(f585(x1471),f585(x1472))
% 202.92/202.79 [148]~E(x1481,x1482)+E(f152(x1481,x1483),f152(x1482,x1483))
% 202.92/202.79 [149]~E(x1491,x1492)+E(f152(x1493,x1491),f152(x1493,x1492))
% 202.92/202.79 [150]~E(x1501,x1502)+E(f142(x1501),f142(x1502))
% 202.92/202.79 [151]~E(x1511,x1512)+E(f232(x1511,x1513),f232(x1512,x1513))
% 202.92/202.79 [152]~E(x1521,x1522)+E(f232(x1523,x1521),f232(x1523,x1522))
% 202.92/202.79 [153]~E(x1531,x1532)+E(f561(x1531,x1533,x1534,x1535),f561(x1532,x1533,x1534,x1535))
% 202.92/202.79 [154]~E(x1541,x1542)+E(f561(x1543,x1541,x1544,x1545),f561(x1543,x1542,x1544,x1545))
% 202.92/202.79 [155]~E(x1551,x1552)+E(f561(x1553,x1554,x1551,x1555),f561(x1553,x1554,x1552,x1555))
% 202.92/202.79 [156]~E(x1561,x1562)+E(f561(x1563,x1564,x1565,x1561),f561(x1563,x1564,x1565,x1562))
% 202.92/202.79 [157]~E(x1571,x1572)+E(f867(x1571,x1573,x1574),f867(x1572,x1573,x1574))
% 202.92/202.79 [158]~E(x1581,x1582)+E(f867(x1583,x1581,x1584),f867(x1583,x1582,x1584))
% 202.92/202.79 [159]~E(x1591,x1592)+E(f867(x1593,x1594,x1591),f867(x1593,x1594,x1592))
% 202.92/202.79 [160]~E(x1601,x1602)+E(f30(x1601),f30(x1602))
% 202.92/202.79 [161]~E(x1611,x1612)+E(f59(x1611,x1613,x1614),f59(x1612,x1613,x1614))
% 202.92/202.79 [162]~E(x1621,x1622)+E(f59(x1623,x1621,x1624),f59(x1623,x1622,x1624))
% 202.92/202.79 [163]~E(x1631,x1632)+E(f59(x1633,x1634,x1631),f59(x1633,x1634,x1632))
% 202.92/202.79 [164]~E(x1641,x1642)+E(f155(x1641),f155(x1642))
% 202.92/202.79 [165]~E(x1651,x1652)+E(f169(x1651,x1653),f169(x1652,x1653))
% 202.92/202.79 [166]~E(x1661,x1662)+E(f169(x1663,x1661),f169(x1663,x1662))
% 202.92/202.79 [167]~E(x1671,x1672)+E(f248(x1671,x1673,x1674),f248(x1672,x1673,x1674))
% 202.92/202.79 [168]~E(x1681,x1682)+E(f248(x1683,x1681,x1684),f248(x1683,x1682,x1684))
% 202.92/202.79 [169]~E(x1691,x1692)+E(f248(x1693,x1694,x1691),f248(x1693,x1694,x1692))
% 202.92/202.79 [170]~E(x1701,x1702)+E(f128(x1701),f128(x1702))
% 202.92/202.79 [171]~E(x1711,x1712)+E(f426(x1711,x1713,x1714,x1715,x1716),f426(x1712,x1713,x1714,x1715,x1716))
% 202.92/202.79 [172]~E(x1721,x1722)+E(f426(x1723,x1721,x1724,x1725,x1726),f426(x1723,x1722,x1724,x1725,x1726))
% 202.92/202.79 [173]~E(x1731,x1732)+E(f426(x1733,x1734,x1731,x1735,x1736),f426(x1733,x1734,x1732,x1735,x1736))
% 202.92/202.79 [174]~E(x1741,x1742)+E(f426(x1743,x1744,x1745,x1741,x1746),f426(x1743,x1744,x1745,x1742,x1746))
% 202.92/202.79 [175]~E(x1751,x1752)+E(f426(x1753,x1754,x1755,x1756,x1751),f426(x1753,x1754,x1755,x1756,x1752))
% 202.92/202.79 [176]~E(x1761,x1762)+E(f280(x1761,x1763,x1764),f280(x1762,x1763,x1764))
% 202.92/202.79 [177]~E(x1771,x1772)+E(f280(x1773,x1771,x1774),f280(x1773,x1772,x1774))
% 202.92/202.79 [178]~E(x1781,x1782)+E(f280(x1783,x1784,x1781),f280(x1783,x1784,x1782))
% 202.92/202.79 [179]~E(x1791,x1792)+E(f425(x1791,x1793,x1794,x1795,x1796),f425(x1792,x1793,x1794,x1795,x1796))
% 202.92/202.79 [180]~E(x1801,x1802)+E(f425(x1803,x1801,x1804,x1805,x1806),f425(x1803,x1802,x1804,x1805,x1806))
% 202.92/202.79 [181]~E(x1811,x1812)+E(f425(x1813,x1814,x1811,x1815,x1816),f425(x1813,x1814,x1812,x1815,x1816))
% 202.92/202.79 [182]~E(x1821,x1822)+E(f425(x1823,x1824,x1825,x1821,x1826),f425(x1823,x1824,x1825,x1822,x1826))
% 202.92/202.79 [183]~E(x1831,x1832)+E(f425(x1833,x1834,x1835,x1836,x1831),f425(x1833,x1834,x1835,x1836,x1832))
% 202.92/202.79 [184]~E(x1841,x1842)+E(f337(x1841,x1843),f337(x1842,x1843))
% 202.92/202.79 [185]~E(x1851,x1852)+E(f337(x1853,x1851),f337(x1853,x1852))
% 202.92/202.79 [186]~E(x1861,x1862)+E(f275(x1861,x1863),f275(x1862,x1863))
% 202.92/202.79 [187]~E(x1871,x1872)+E(f275(x1873,x1871),f275(x1873,x1872))
% 202.92/202.79 [188]~E(x1881,x1882)+E(f602(x1881,x1883),f602(x1882,x1883))
% 202.92/202.79 [189]~E(x1891,x1892)+E(f602(x1893,x1891),f602(x1893,x1892))
% 202.92/202.79 [190]~E(x1901,x1902)+E(f272(x1901),f272(x1902))
% 202.92/202.79 [191]~E(x1911,x1912)+E(f66(x1911,x1913,x1914,x1915),f66(x1912,x1913,x1914,x1915))
% 202.92/202.79 [192]~E(x1921,x1922)+E(f66(x1923,x1921,x1924,x1925),f66(x1923,x1922,x1924,x1925))
% 202.92/202.79 [193]~E(x1931,x1932)+E(f66(x1933,x1934,x1931,x1935),f66(x1933,x1934,x1932,x1935))
% 202.92/202.79 [194]~E(x1941,x1942)+E(f66(x1943,x1944,x1945,x1941),f66(x1943,x1944,x1945,x1942))
% 202.92/202.79 [195]~E(x1951,x1952)+E(f84(x1951,x1953,x1954,x1955),f84(x1952,x1953,x1954,x1955))
% 202.92/202.79 [196]~E(x1961,x1962)+E(f84(x1963,x1961,x1964,x1965),f84(x1963,x1962,x1964,x1965))
% 202.92/202.79 [197]~E(x1971,x1972)+E(f84(x1973,x1974,x1971,x1975),f84(x1973,x1974,x1972,x1975))
% 202.92/202.79 [198]~E(x1981,x1982)+E(f84(x1983,x1984,x1985,x1981),f84(x1983,x1984,x1985,x1982))
% 202.92/202.79 [199]~E(x1991,x1992)+E(f133(x1991,x1993,x1994,x1995),f133(x1992,x1993,x1994,x1995))
% 202.92/202.79 [200]~E(x2001,x2002)+E(f133(x2003,x2001,x2004,x2005),f133(x2003,x2002,x2004,x2005))
% 202.92/202.79 [201]~E(x2011,x2012)+E(f133(x2013,x2014,x2011,x2015),f133(x2013,x2014,x2012,x2015))
% 202.92/202.79 [202]~E(x2021,x2022)+E(f133(x2023,x2024,x2025,x2021),f133(x2023,x2024,x2025,x2022))
% 202.92/202.79 [203]~E(x2031,x2032)+E(f122(x2031,x2033,x2034,x2035),f122(x2032,x2033,x2034,x2035))
% 202.92/202.79 [204]~E(x2041,x2042)+E(f122(x2043,x2041,x2044,x2045),f122(x2043,x2042,x2044,x2045))
% 202.92/202.79 [205]~E(x2051,x2052)+E(f122(x2053,x2054,x2051,x2055),f122(x2053,x2054,x2052,x2055))
% 202.92/202.79 [206]~E(x2061,x2062)+E(f122(x2063,x2064,x2065,x2061),f122(x2063,x2064,x2065,x2062))
% 202.92/202.79 [207]~E(x2071,x2072)+E(f176(x2071,x2073,x2074,x2075),f176(x2072,x2073,x2074,x2075))
% 202.92/202.79 [208]~E(x2081,x2082)+E(f176(x2083,x2081,x2084,x2085),f176(x2083,x2082,x2084,x2085))
% 202.92/202.79 [209]~E(x2091,x2092)+E(f176(x2093,x2094,x2091,x2095),f176(x2093,x2094,x2092,x2095))
% 202.92/202.79 [210]~E(x2101,x2102)+E(f176(x2103,x2104,x2105,x2101),f176(x2103,x2104,x2105,x2102))
% 202.92/202.79 [211]~E(x2111,x2112)+E(f551(x2111,x2113,x2114),f551(x2112,x2113,x2114))
% 202.92/202.79 [212]~E(x2121,x2122)+E(f551(x2123,x2121,x2124),f551(x2123,x2122,x2124))
% 202.92/202.79 [213]~E(x2131,x2132)+E(f551(x2133,x2134,x2131),f551(x2133,x2134,x2132))
% 202.92/202.79 [214]~E(x2141,x2142)+E(f83(x2141,x2143),f83(x2142,x2143))
% 202.92/202.79 [215]~E(x2151,x2152)+E(f83(x2153,x2151),f83(x2153,x2152))
% 202.92/202.79 [216]~E(x2161,x2162)+E(f68(x2161,x2163,x2164,x2165,x2166),f68(x2162,x2163,x2164,x2165,x2166))
% 202.92/202.79 [217]~E(x2171,x2172)+E(f68(x2173,x2171,x2174,x2175,x2176),f68(x2173,x2172,x2174,x2175,x2176))
% 202.92/202.79 [218]~E(x2181,x2182)+E(f68(x2183,x2184,x2181,x2185,x2186),f68(x2183,x2184,x2182,x2185,x2186))
% 202.92/202.79 [219]~E(x2191,x2192)+E(f68(x2193,x2194,x2195,x2191,x2196),f68(x2193,x2194,x2195,x2192,x2196))
% 202.92/202.79 [220]~E(x2201,x2202)+E(f68(x2203,x2204,x2205,x2206,x2201),f68(x2203,x2204,x2205,x2206,x2202))
% 202.92/202.79 [221]~E(x2211,x2212)+E(f617(x2211,x2213,x2214),f617(x2212,x2213,x2214))
% 202.92/202.79 [222]~E(x2221,x2222)+E(f617(x2223,x2221,x2224),f617(x2223,x2222,x2224))
% 202.92/202.79 [223]~E(x2231,x2232)+E(f617(x2233,x2234,x2231),f617(x2233,x2234,x2232))
% 202.92/202.79 [224]~E(x2241,x2242)+E(f442(x2241,x2243,x2244,x2245),f442(x2242,x2243,x2244,x2245))
% 202.92/202.79 [225]~E(x2251,x2252)+E(f442(x2253,x2251,x2254,x2255),f442(x2253,x2252,x2254,x2255))
% 202.92/202.79 [226]~E(x2261,x2262)+E(f442(x2263,x2264,x2261,x2265),f442(x2263,x2264,x2262,x2265))
% 202.92/202.79 [227]~E(x2271,x2272)+E(f442(x2273,x2274,x2275,x2271),f442(x2273,x2274,x2275,x2272))
% 202.92/202.79 [228]~E(x2281,x2282)+E(f386(x2281,x2283,x2284),f386(x2282,x2283,x2284))
% 202.92/202.79 [229]~E(x2291,x2292)+E(f386(x2293,x2291,x2294),f386(x2293,x2292,x2294))
% 202.92/202.79 [230]~E(x2301,x2302)+E(f386(x2303,x2304,x2301),f386(x2303,x2304,x2302))
% 202.92/202.79 [231]~E(x2311,x2312)+E(f866(x2311,x2313,x2314),f866(x2312,x2313,x2314))
% 202.92/202.79 [232]~E(x2321,x2322)+E(f866(x2323,x2321,x2324),f866(x2323,x2322,x2324))
% 202.92/202.79 [233]~E(x2331,x2332)+E(f866(x2333,x2334,x2331),f866(x2333,x2334,x2332))
% 202.92/202.79 [234]~E(x2341,x2342)+E(f100(x2341),f100(x2342))
% 202.92/202.79 [235]~E(x2351,x2352)+E(f125(x2351),f125(x2352))
% 202.92/202.79 [236]~E(x2361,x2362)+E(f140(x2361,x2363,x2364,x2365,x2366),f140(x2362,x2363,x2364,x2365,x2366))
% 202.92/202.79 [237]~E(x2371,x2372)+E(f140(x2373,x2371,x2374,x2375,x2376),f140(x2373,x2372,x2374,x2375,x2376))
% 202.92/202.79 [238]~E(x2381,x2382)+E(f140(x2383,x2384,x2381,x2385,x2386),f140(x2383,x2384,x2382,x2385,x2386))
% 202.92/202.79 [239]~E(x2391,x2392)+E(f140(x2393,x2394,x2395,x2391,x2396),f140(x2393,x2394,x2395,x2392,x2396))
% 202.92/202.79 [240]~E(x2401,x2402)+E(f140(x2403,x2404,x2405,x2406,x2401),f140(x2403,x2404,x2405,x2406,x2402))
% 202.92/202.79 [241]~E(x2411,x2412)+E(f446(x2411,x2413,x2414,x2415),f446(x2412,x2413,x2414,x2415))
% 202.92/202.79 [242]~E(x2421,x2422)+E(f446(x2423,x2421,x2424,x2425),f446(x2423,x2422,x2424,x2425))
% 202.92/202.79 [243]~E(x2431,x2432)+E(f446(x2433,x2434,x2431,x2435),f446(x2433,x2434,x2432,x2435))
% 202.92/202.79 [244]~E(x2441,x2442)+E(f446(x2443,x2444,x2445,x2441),f446(x2443,x2444,x2445,x2442))
% 202.92/202.79 [245]~E(x2451,x2452)+E(f79(x2451,x2453),f79(x2452,x2453))
% 202.92/202.79 [246]~E(x2461,x2462)+E(f79(x2463,x2461),f79(x2463,x2462))
% 202.92/202.79 [247]~E(x2471,x2472)+E(f234(x2471,x2473,x2474),f234(x2472,x2473,x2474))
% 202.92/202.79 [248]~E(x2481,x2482)+E(f234(x2483,x2481,x2484),f234(x2483,x2482,x2484))
% 202.92/202.79 [249]~E(x2491,x2492)+E(f234(x2493,x2494,x2491),f234(x2493,x2494,x2492))
% 202.92/202.79 [250]~E(x2501,x2502)+E(f735(x2501,x2503),f735(x2502,x2503))
% 202.92/202.79 [251]~E(x2511,x2512)+E(f735(x2513,x2511),f735(x2513,x2512))
% 202.92/202.79 [252]~E(x2521,x2522)+E(f13(x2521,x2523,x2524),f13(x2522,x2523,x2524))
% 202.92/202.79 [253]~E(x2531,x2532)+E(f13(x2533,x2531,x2534),f13(x2533,x2532,x2534))
% 202.92/202.79 [254]~E(x2541,x2542)+E(f13(x2543,x2544,x2541),f13(x2543,x2544,x2542))
% 202.92/202.79 [255]~E(x2551,x2552)+E(f872(x2551,x2553,x2554),f872(x2552,x2553,x2554))
% 202.92/202.79 [256]~E(x2561,x2562)+E(f872(x2563,x2561,x2564),f872(x2563,x2562,x2564))
% 202.92/202.79 [257]~E(x2571,x2572)+E(f872(x2573,x2574,x2571),f872(x2573,x2574,x2572))
% 202.92/202.79 [258]~E(x2581,x2582)+E(f277(x2581,x2583),f277(x2582,x2583))
% 202.92/202.79 [259]~E(x2591,x2592)+E(f277(x2593,x2591),f277(x2593,x2592))
% 202.92/202.79 [260]~E(x2601,x2602)+E(f436(x2601,x2603,x2604),f436(x2602,x2603,x2604))
% 202.92/202.79 [261]~E(x2611,x2612)+E(f436(x2613,x2611,x2614),f436(x2613,x2612,x2614))
% 202.92/202.79 [262]~E(x2621,x2622)+E(f436(x2623,x2624,x2621),f436(x2623,x2624,x2622))
% 202.92/202.79 [263]~E(x2631,x2632)+E(f756(x2631,x2633,x2634),f756(x2632,x2633,x2634))
% 202.92/202.79 [264]~E(x2641,x2642)+E(f756(x2643,x2641,x2644),f756(x2643,x2642,x2644))
% 202.92/202.79 [265]~E(x2651,x2652)+E(f756(x2653,x2654,x2651),f756(x2653,x2654,x2652))
% 202.92/202.79 [266]~E(x2661,x2662)+E(f503(x2661,x2663,x2664),f503(x2662,x2663,x2664))
% 202.92/202.79 [267]~E(x2671,x2672)+E(f503(x2673,x2671,x2674),f503(x2673,x2672,x2674))
% 202.92/202.79 [268]~E(x2681,x2682)+E(f503(x2683,x2684,x2681),f503(x2683,x2684,x2682))
% 202.92/202.79 [269]~E(x2691,x2692)+E(f159(x2691),f159(x2692))
% 202.92/202.79 [270]~E(x2701,x2702)+E(f105(x2701,x2703),f105(x2702,x2703))
% 202.92/202.79 [271]~E(x2711,x2712)+E(f105(x2713,x2711),f105(x2713,x2712))
% 202.92/202.79 [272]~E(x2721,x2722)+E(f261(x2721,x2723),f261(x2722,x2723))
% 202.92/202.79 [273]~E(x2731,x2732)+E(f261(x2733,x2731),f261(x2733,x2732))
% 202.92/202.79 [274]~E(x2741,x2742)+E(f120(x2741),f120(x2742))
% 202.92/202.79 [275]~E(x2751,x2752)+E(f143(x2751,x2753),f143(x2752,x2753))
% 202.92/202.79 [276]~E(x2761,x2762)+E(f143(x2763,x2761),f143(x2763,x2762))
% 202.92/202.79 [277]~E(x2771,x2772)+E(f430(x2771,x2773,x2774,x2775),f430(x2772,x2773,x2774,x2775))
% 202.92/202.79 [278]~E(x2781,x2782)+E(f430(x2783,x2781,x2784,x2785),f430(x2783,x2782,x2784,x2785))
% 202.92/202.79 [279]~E(x2791,x2792)+E(f430(x2793,x2794,x2791,x2795),f430(x2793,x2794,x2792,x2795))
% 202.92/202.79 [280]~E(x2801,x2802)+E(f430(x2803,x2804,x2805,x2801),f430(x2803,x2804,x2805,x2802))
% 202.92/202.79 [281]~E(x2811,x2812)+E(f182(x2811),f182(x2812))
% 202.92/202.79 [282]~E(x2821,x2822)+E(f233(x2821),f233(x2822))
% 202.92/202.79 [283]~E(x2831,x2832)+E(f106(x2831),f106(x2832))
% 202.92/202.79 [284]~E(x2841,x2842)+E(f44(x2841,x2843),f44(x2842,x2843))
% 202.92/202.79 [285]~E(x2851,x2852)+E(f44(x2853,x2851),f44(x2853,x2852))
% 202.92/202.79 [286]~E(x2861,x2862)+E(f928(x2861,x2863),f928(x2862,x2863))
% 202.92/202.79 [287]~E(x2871,x2872)+E(f928(x2873,x2871),f928(x2873,x2872))
% 202.92/202.79 [288]~E(x2881,x2882)+E(f925(x2881,x2883),f925(x2882,x2883))
% 202.92/202.79 [289]~E(x2891,x2892)+E(f925(x2893,x2891),f925(x2893,x2892))
% 202.92/202.79 [290]~E(x2901,x2902)+E(f158(x2901),f158(x2902))
% 202.92/202.79 [291]~E(x2911,x2912)+E(f156(x2911),f156(x2912))
% 202.92/202.79 [292]~E(x2921,x2922)+E(f546(x2921),f546(x2922))
% 202.92/202.79 [293]~E(x2931,x2932)+E(f145(x2931,x2933),f145(x2932,x2933))
% 202.92/202.79 [294]~E(x2941,x2942)+E(f145(x2943,x2941),f145(x2943,x2942))
% 202.92/202.79 [295]~E(x2951,x2952)+E(f162(x2951),f162(x2952))
% 202.92/202.79 [296]~E(x2961,x2962)+E(f558(x2961,x2963,x2964),f558(x2962,x2963,x2964))
% 202.92/202.79 [297]~E(x2971,x2972)+E(f558(x2973,x2971,x2974),f558(x2973,x2972,x2974))
% 202.92/202.79 [298]~E(x2981,x2982)+E(f558(x2983,x2984,x2981),f558(x2983,x2984,x2982))
% 202.92/202.79 [299]~E(x2991,x2992)+E(f14(x2991,x2993,x2994),f14(x2992,x2993,x2994))
% 202.92/202.79 [300]~E(x3001,x3002)+E(f14(x3003,x3001,x3004),f14(x3003,x3002,x3004))
% 202.92/202.79 [301]~E(x3011,x3012)+E(f14(x3013,x3014,x3011),f14(x3013,x3014,x3012))
% 202.92/202.79 [302]~E(x3021,x3022)+E(f17(x3021,x3023),f17(x3022,x3023))
% 202.92/202.79 [303]~E(x3031,x3032)+E(f17(x3033,x3031),f17(x3033,x3032))
% 202.92/202.79 [304]~E(x3041,x3042)+E(f398(x3041,x3043,x3044),f398(x3042,x3043,x3044))
% 202.92/202.79 [305]~E(x3051,x3052)+E(f398(x3053,x3051,x3054),f398(x3053,x3052,x3054))
% 202.92/202.79 [306]~E(x3061,x3062)+E(f398(x3063,x3064,x3061),f398(x3063,x3064,x3062))
% 202.92/202.79 [307]~E(x3071,x3072)+E(f130(x3071,x3073),f130(x3072,x3073))
% 202.92/202.79 [308]~E(x3081,x3082)+E(f130(x3083,x3081),f130(x3083,x3082))
% 202.92/202.79 [309]~E(x3091,x3092)+E(f294(x3091,x3093,x3094),f294(x3092,x3093,x3094))
% 202.92/202.79 [310]~E(x3101,x3102)+E(f294(x3103,x3101,x3104),f294(x3103,x3102,x3104))
% 202.92/202.79 [311]~E(x3111,x3112)+E(f294(x3113,x3114,x3111),f294(x3113,x3114,x3112))
% 202.92/202.79 [312]~E(x3121,x3122)+E(f214(x3121,x3123,x3124,x3125,x3126),f214(x3122,x3123,x3124,x3125,x3126))
% 202.92/202.79 [313]~E(x3131,x3132)+E(f214(x3133,x3131,x3134,x3135,x3136),f214(x3133,x3132,x3134,x3135,x3136))
% 202.92/202.79 [314]~E(x3141,x3142)+E(f214(x3143,x3144,x3141,x3145,x3146),f214(x3143,x3144,x3142,x3145,x3146))
% 202.92/202.79 [315]~E(x3151,x3152)+E(f214(x3153,x3154,x3155,x3151,x3156),f214(x3153,x3154,x3155,x3152,x3156))
% 202.92/202.79 [316]~E(x3161,x3162)+E(f214(x3163,x3164,x3165,x3166,x3161),f214(x3163,x3164,x3165,x3166,x3162))
% 202.92/202.79 [317]~E(x3171,x3172)+E(f131(x3171,x3173,x3174),f131(x3172,x3173,x3174))
% 202.92/202.79 [318]~E(x3181,x3182)+E(f131(x3183,x3181,x3184),f131(x3183,x3182,x3184))
% 202.92/202.79 [319]~E(x3191,x3192)+E(f131(x3193,x3194,x3191),f131(x3193,x3194,x3192))
% 202.92/202.79 [320]~E(x3201,x3202)+E(f849(x3201,x3203,x3204,x3205,x3206,x3207),f849(x3202,x3203,x3204,x3205,x3206,x3207))
% 202.92/202.79 [321]~E(x3211,x3212)+E(f849(x3213,x3211,x3214,x3215,x3216,x3217),f849(x3213,x3212,x3214,x3215,x3216,x3217))
% 202.92/202.79 [322]~E(x3221,x3222)+E(f849(x3223,x3224,x3221,x3225,x3226,x3227),f849(x3223,x3224,x3222,x3225,x3226,x3227))
% 202.92/202.79 [323]~E(x3231,x3232)+E(f849(x3233,x3234,x3235,x3231,x3236,x3237),f849(x3233,x3234,x3235,x3232,x3236,x3237))
% 202.92/202.79 [324]~E(x3241,x3242)+E(f849(x3243,x3244,x3245,x3246,x3241,x3247),f849(x3243,x3244,x3245,x3246,x3242,x3247))
% 202.92/202.79 [325]~E(x3251,x3252)+E(f849(x3253,x3254,x3255,x3256,x3257,x3251),f849(x3253,x3254,x3255,x3256,x3257,x3252))
% 202.92/202.79 [326]~E(x3261,x3262)+E(f494(x3261,x3263),f494(x3262,x3263))
% 202.92/202.79 [327]~E(x3271,x3272)+E(f494(x3273,x3271),f494(x3273,x3272))
% 202.92/202.79 [328]~E(x3281,x3282)+E(f850(x3281,x3283,x3284,x3285,x3286,x3287),f850(x3282,x3283,x3284,x3285,x3286,x3287))
% 202.92/202.79 [329]~E(x3291,x3292)+E(f850(x3293,x3291,x3294,x3295,x3296,x3297),f850(x3293,x3292,x3294,x3295,x3296,x3297))
% 202.92/202.79 [330]~E(x3301,x3302)+E(f850(x3303,x3304,x3301,x3305,x3306,x3307),f850(x3303,x3304,x3302,x3305,x3306,x3307))
% 202.92/202.79 [331]~E(x3311,x3312)+E(f850(x3313,x3314,x3315,x3311,x3316,x3317),f850(x3313,x3314,x3315,x3312,x3316,x3317))
% 202.92/202.79 [332]~E(x3321,x3322)+E(f850(x3323,x3324,x3325,x3326,x3321,x3327),f850(x3323,x3324,x3325,x3326,x3322,x3327))
% 202.92/202.79 [333]~E(x3331,x3332)+E(f850(x3333,x3334,x3335,x3336,x3337,x3331),f850(x3333,x3334,x3335,x3336,x3337,x3332))
% 202.92/202.79 [334]~E(x3341,x3342)+E(f400(x3341,x3343,x3344,x3345,x3346),f400(x3342,x3343,x3344,x3345,x3346))
% 202.92/202.79 [335]~E(x3351,x3352)+E(f400(x3353,x3351,x3354,x3355,x3356),f400(x3353,x3352,x3354,x3355,x3356))
% 202.92/202.79 [336]~E(x3361,x3362)+E(f400(x3363,x3364,x3361,x3365,x3366),f400(x3363,x3364,x3362,x3365,x3366))
% 202.92/202.79 [337]~E(x3371,x3372)+E(f400(x3373,x3374,x3375,x3371,x3376),f400(x3373,x3374,x3375,x3372,x3376))
% 202.92/202.79 [338]~E(x3381,x3382)+E(f400(x3383,x3384,x3385,x3386,x3381),f400(x3383,x3384,x3385,x3386,x3382))
% 202.92/202.79 [339]~E(x3391,x3392)+E(f309(x3391,x3393),f309(x3392,x3393))
% 202.92/202.79 [340]~E(x3401,x3402)+E(f309(x3403,x3401),f309(x3403,x3402))
% 202.92/202.79 [341]~E(x3411,x3412)+E(f889(x3411),f889(x3412))
% 202.92/202.79 [342]~E(x3421,x3422)+E(f310(x3421,x3423),f310(x3422,x3423))
% 202.92/202.79 [343]~E(x3431,x3432)+E(f310(x3433,x3431),f310(x3433,x3432))
% 202.92/202.79 [344]~E(x3441,x3442)+E(f229(x3441,x3443),f229(x3442,x3443))
% 202.92/202.79 [345]~E(x3451,x3452)+E(f229(x3453,x3451),f229(x3453,x3452))
% 202.92/202.79 [346]~E(x3461,x3462)+E(f239(x3461,x3463),f239(x3462,x3463))
% 202.92/202.79 [347]~E(x3471,x3472)+E(f239(x3473,x3471),f239(x3473,x3472))
% 202.92/202.79 [348]~E(x3481,x3482)+E(f249(x3481,x3483,x3484,x3485,x3486,x3487),f249(x3482,x3483,x3484,x3485,x3486,x3487))
% 202.92/202.79 [349]~E(x3491,x3492)+E(f249(x3493,x3491,x3494,x3495,x3496,x3497),f249(x3493,x3492,x3494,x3495,x3496,x3497))
% 202.92/202.79 [350]~E(x3501,x3502)+E(f249(x3503,x3504,x3501,x3505,x3506,x3507),f249(x3503,x3504,x3502,x3505,x3506,x3507))
% 202.92/202.79 [351]~E(x3511,x3512)+E(f249(x3513,x3514,x3515,x3511,x3516,x3517),f249(x3513,x3514,x3515,x3512,x3516,x3517))
% 202.92/202.79 [352]~E(x3521,x3522)+E(f249(x3523,x3524,x3525,x3526,x3521,x3527),f249(x3523,x3524,x3525,x3526,x3522,x3527))
% 202.92/202.79 [353]~E(x3531,x3532)+E(f249(x3533,x3534,x3535,x3536,x3537,x3531),f249(x3533,x3534,x3535,x3536,x3537,x3532))
% 202.92/202.79 [354]~E(x3541,x3542)+E(f387(x3541,x3543,x3544),f387(x3542,x3543,x3544))
% 202.92/202.79 [355]~E(x3551,x3552)+E(f387(x3553,x3551,x3554),f387(x3553,x3552,x3554))
% 202.92/202.79 [356]~E(x3561,x3562)+E(f387(x3563,x3564,x3561),f387(x3563,x3564,x3562))
% 202.92/202.79 [357]~E(x3571,x3572)+E(f297(x3571,x3573,x3574),f297(x3572,x3573,x3574))
% 202.92/202.79 [358]~E(x3581,x3582)+E(f297(x3583,x3581,x3584),f297(x3583,x3582,x3584))
% 202.92/202.79 [359]~E(x3591,x3592)+E(f297(x3593,x3594,x3591),f297(x3593,x3594,x3592))
% 202.92/202.79 [360]~E(x3601,x3602)+E(f135(x3601,x3603),f135(x3602,x3603))
% 202.92/202.79 [361]~E(x3611,x3612)+E(f135(x3613,x3611),f135(x3613,x3612))
% 202.92/202.79 [362]~E(x3621,x3622)+E(f859(x3621,x3623,x3624,x3625,x3626,x3627),f859(x3622,x3623,x3624,x3625,x3626,x3627))
% 202.92/202.79 [363]~E(x3631,x3632)+E(f859(x3633,x3631,x3634,x3635,x3636,x3637),f859(x3633,x3632,x3634,x3635,x3636,x3637))
% 202.92/202.79 [364]~E(x3641,x3642)+E(f859(x3643,x3644,x3641,x3645,x3646,x3647),f859(x3643,x3644,x3642,x3645,x3646,x3647))
% 202.92/202.79 [365]~E(x3651,x3652)+E(f859(x3653,x3654,x3655,x3651,x3656,x3657),f859(x3653,x3654,x3655,x3652,x3656,x3657))
% 202.92/202.79 [366]~E(x3661,x3662)+E(f859(x3663,x3664,x3665,x3666,x3661,x3667),f859(x3663,x3664,x3665,x3666,x3662,x3667))
% 202.92/202.79 [367]~E(x3671,x3672)+E(f859(x3673,x3674,x3675,x3676,x3677,x3671),f859(x3673,x3674,x3675,x3676,x3677,x3672))
% 202.92/202.79 [368]~E(x3681,x3682)+E(f858(x3681,x3683,x3684,x3685,x3686,x3687),f858(x3682,x3683,x3684,x3685,x3686,x3687))
% 202.92/202.79 [369]~E(x3691,x3692)+E(f858(x3693,x3691,x3694,x3695,x3696,x3697),f858(x3693,x3692,x3694,x3695,x3696,x3697))
% 202.92/202.79 [370]~E(x3701,x3702)+E(f858(x3703,x3704,x3701,x3705,x3706,x3707),f858(x3703,x3704,x3702,x3705,x3706,x3707))
% 202.92/202.79 [371]~E(x3711,x3712)+E(f858(x3713,x3714,x3715,x3711,x3716,x3717),f858(x3713,x3714,x3715,x3712,x3716,x3717))
% 202.92/202.79 [372]~E(x3721,x3722)+E(f858(x3723,x3724,x3725,x3726,x3721,x3727),f858(x3723,x3724,x3725,x3726,x3722,x3727))
% 202.92/202.79 [373]~E(x3731,x3732)+E(f858(x3733,x3734,x3735,x3736,x3737,x3731),f858(x3733,x3734,x3735,x3736,x3737,x3732))
% 202.92/202.79 [374]~E(x3741,x3742)+E(f298(x3741,x3743),f298(x3742,x3743))
% 202.92/202.79 [375]~E(x3751,x3752)+E(f298(x3753,x3751),f298(x3753,x3752))
% 202.92/202.79 [376]~E(x3761,x3762)+E(f31(x3761,x3763),f31(x3762,x3763))
% 202.92/202.79 [377]~E(x3771,x3772)+E(f31(x3773,x3771),f31(x3773,x3772))
% 202.92/202.79 [378]~E(x3781,x3782)+E(f293(x3781,x3783),f293(x3782,x3783))
% 202.92/202.79 [379]~E(x3791,x3792)+E(f293(x3793,x3791),f293(x3793,x3792))
% 202.92/202.79 [380]~E(x3801,x3802)+E(f78(x3801,x3803),f78(x3802,x3803))
% 202.92/202.79 [381]~E(x3811,x3812)+E(f78(x3813,x3811),f78(x3813,x3812))
% 202.92/202.79 [382]~E(x3821,x3822)+E(f86(x3821,x3823),f86(x3822,x3823))
% 202.92/202.79 [383]~E(x3831,x3832)+E(f86(x3833,x3831),f86(x3833,x3832))
% 202.92/202.79 [384]~E(x3841,x3842)+E(f805(x3841,x3843),f805(x3842,x3843))
% 202.92/202.79 [385]~E(x3851,x3852)+E(f805(x3853,x3851),f805(x3853,x3852))
% 202.92/202.79 [386]~E(x3861,x3862)+E(f110(x3861),f110(x3862))
% 202.92/202.79 [387]~E(x3871,x3872)+E(f111(x3871,x3873),f111(x3872,x3873))
% 202.92/202.79 [388]~E(x3881,x3882)+E(f111(x3883,x3881),f111(x3883,x3882))
% 202.92/202.79 [389]~E(x3891,x3892)+E(f168(x3891,x3893,x3894),f168(x3892,x3893,x3894))
% 202.92/202.79 [390]~E(x3901,x3902)+E(f168(x3903,x3901,x3904),f168(x3903,x3902,x3904))
% 202.92/202.79 [391]~E(x3911,x3912)+E(f168(x3913,x3914,x3911),f168(x3913,x3914,x3912))
% 202.92/202.79 [392]~E(x3921,x3922)+E(f18(x3921,x3923),f18(x3922,x3923))
% 202.92/202.79 [393]~E(x3931,x3932)+E(f18(x3933,x3931),f18(x3933,x3932))
% 202.92/202.79 [394]~E(x3941,x3942)+E(f127(x3941,x3943),f127(x3942,x3943))
% 202.92/202.79 [395]~E(x3951,x3952)+E(f127(x3953,x3951),f127(x3953,x3952))
% 202.92/202.79 [396]~E(x3961,x3962)+E(f653(x3961,x3963,x3964,x3965,x3966,x3967),f653(x3962,x3963,x3964,x3965,x3966,x3967))
% 202.92/202.79 [397]~E(x3971,x3972)+E(f653(x3973,x3971,x3974,x3975,x3976,x3977),f653(x3973,x3972,x3974,x3975,x3976,x3977))
% 202.92/202.79 [398]~E(x3981,x3982)+E(f653(x3983,x3984,x3981,x3985,x3986,x3987),f653(x3983,x3984,x3982,x3985,x3986,x3987))
% 202.92/202.79 [399]~E(x3991,x3992)+E(f653(x3993,x3994,x3995,x3991,x3996,x3997),f653(x3993,x3994,x3995,x3992,x3996,x3997))
% 202.92/202.79 [400]~E(x4001,x4002)+E(f653(x4003,x4004,x4005,x4006,x4001,x4007),f653(x4003,x4004,x4005,x4006,x4002,x4007))
% 202.92/202.79 [401]~E(x4011,x4012)+E(f653(x4013,x4014,x4015,x4016,x4017,x4011),f653(x4013,x4014,x4015,x4016,x4017,x4012))
% 202.92/202.79 [402]~E(x4021,x4022)+E(f847(x4021,x4023,x4024,x4025,x4026,x4027,x4028,x4029),f847(x4022,x4023,x4024,x4025,x4026,x4027,x4028,x4029))
% 202.92/202.79 [403]~E(x4031,x4032)+E(f847(x4033,x4031,x4034,x4035,x4036,x4037,x4038,x4039),f847(x4033,x4032,x4034,x4035,x4036,x4037,x4038,x4039))
% 202.92/202.79 [404]~E(x4041,x4042)+E(f847(x4043,x4044,x4041,x4045,x4046,x4047,x4048,x4049),f847(x4043,x4044,x4042,x4045,x4046,x4047,x4048,x4049))
% 202.92/202.79 [405]~E(x4051,x4052)+E(f847(x4053,x4054,x4055,x4051,x4056,x4057,x4058,x4059),f847(x4053,x4054,x4055,x4052,x4056,x4057,x4058,x4059))
% 202.92/202.79 [406]~E(x4061,x4062)+E(f847(x4063,x4064,x4065,x4066,x4061,x4067,x4068,x4069),f847(x4063,x4064,x4065,x4066,x4062,x4067,x4068,x4069))
% 202.92/202.79 [407]~E(x4071,x4072)+E(f847(x4073,x4074,x4075,x4076,x4077,x4071,x4078,x4079),f847(x4073,x4074,x4075,x4076,x4077,x4072,x4078,x4079))
% 202.92/202.79 [408]~E(x4081,x4082)+E(f847(x4083,x4084,x4085,x4086,x4087,x4088,x4081,x4089),f847(x4083,x4084,x4085,x4086,x4087,x4088,x4082,x4089))
% 202.92/202.79 [409]~E(x4091,x4092)+E(f847(x4093,x4094,x4095,x4096,x4097,x4098,x4099,x4091),f847(x4093,x4094,x4095,x4096,x4097,x4098,x4099,x4092))
% 202.92/202.79 [410]~E(x4101,x4102)+E(f654(x4101,x4103,x4104,x4105,x4106,x4107),f654(x4102,x4103,x4104,x4105,x4106,x4107))
% 202.92/202.79 [411]~E(x4111,x4112)+E(f654(x4113,x4111,x4114,x4115,x4116,x4117),f654(x4113,x4112,x4114,x4115,x4116,x4117))
% 202.92/202.79 [412]~E(x4121,x4122)+E(f654(x4123,x4124,x4121,x4125,x4126,x4127),f654(x4123,x4124,x4122,x4125,x4126,x4127))
% 202.92/202.79 [413]~E(x4131,x4132)+E(f654(x4133,x4134,x4135,x4131,x4136,x4137),f654(x4133,x4134,x4135,x4132,x4136,x4137))
% 202.92/202.79 [414]~E(x4141,x4142)+E(f654(x4143,x4144,x4145,x4146,x4141,x4147),f654(x4143,x4144,x4145,x4146,x4142,x4147))
% 202.92/202.79 [415]~E(x4151,x4152)+E(f654(x4153,x4154,x4155,x4156,x4157,x4151),f654(x4153,x4154,x4155,x4156,x4157,x4152))
% 202.92/202.79 [416]~E(x4161,x4162)+E(f552(x4161,x4163),f552(x4162,x4163))
% 202.92/202.79 [417]~E(x4171,x4172)+E(f552(x4173,x4171),f552(x4173,x4172))
% 202.92/202.79 [418]~E(x4181,x4182)+E(f432(x4181,x4183,x4184,x4185,x4186,x4187,x4188,x4189),f432(x4182,x4183,x4184,x4185,x4186,x4187,x4188,x4189))
% 202.92/202.79 [419]~E(x4191,x4192)+E(f432(x4193,x4191,x4194,x4195,x4196,x4197,x4198,x4199),f432(x4193,x4192,x4194,x4195,x4196,x4197,x4198,x4199))
% 202.92/202.79 [420]~E(x4201,x4202)+E(f432(x4203,x4204,x4201,x4205,x4206,x4207,x4208,x4209),f432(x4203,x4204,x4202,x4205,x4206,x4207,x4208,x4209))
% 202.92/202.79 [421]~E(x4211,x4212)+E(f432(x4213,x4214,x4215,x4211,x4216,x4217,x4218,x4219),f432(x4213,x4214,x4215,x4212,x4216,x4217,x4218,x4219))
% 202.92/202.79 [422]~E(x4221,x4222)+E(f432(x4223,x4224,x4225,x4226,x4221,x4227,x4228,x4229),f432(x4223,x4224,x4225,x4226,x4222,x4227,x4228,x4229))
% 202.92/202.79 [423]~E(x4231,x4232)+E(f432(x4233,x4234,x4235,x4236,x4237,x4231,x4238,x4239),f432(x4233,x4234,x4235,x4236,x4237,x4232,x4238,x4239))
% 202.92/202.79 [424]~E(x4241,x4242)+E(f432(x4243,x4244,x4245,x4246,x4247,x4248,x4241,x4249),f432(x4243,x4244,x4245,x4246,x4247,x4248,x4242,x4249))
% 202.92/202.79 [425]~E(x4251,x4252)+E(f432(x4253,x4254,x4255,x4256,x4257,x4258,x4259,x4251),f432(x4253,x4254,x4255,x4256,x4257,x4258,x4259,x4252))
% 202.92/202.79 [426]~E(x4261,x4262)+E(f144(x4261,x4263),f144(x4262,x4263))
% 202.92/202.79 [427]~E(x4271,x4272)+E(f144(x4273,x4271),f144(x4273,x4272))
% 202.92/202.79 [428]~E(x4281,x4282)+E(f254(x4281,x4283),f254(x4282,x4283))
% 202.92/202.79 [429]~E(x4291,x4292)+E(f254(x4293,x4291),f254(x4293,x4292))
% 202.92/202.79 [430]~E(x4301,x4302)+E(f57(x4301,x4303),f57(x4302,x4303))
% 202.92/202.79 [431]~E(x4311,x4312)+E(f57(x4313,x4311),f57(x4313,x4312))
% 202.92/202.79 [432]~E(x4321,x4322)+E(f170(x4321,x4323),f170(x4322,x4323))
% 202.92/202.79 [433]~E(x4331,x4332)+E(f170(x4333,x4331),f170(x4333,x4332))
% 202.92/202.79 [434]~E(x4341,x4342)+E(f431(x4341,x4343,x4344,x4345,x4346,x4347),f431(x4342,x4343,x4344,x4345,x4346,x4347))
% 202.92/202.79 [435]~E(x4351,x4352)+E(f431(x4353,x4351,x4354,x4355,x4356,x4357),f431(x4353,x4352,x4354,x4355,x4356,x4357))
% 202.92/202.79 [436]~E(x4361,x4362)+E(f431(x4363,x4364,x4361,x4365,x4366,x4367),f431(x4363,x4364,x4362,x4365,x4366,x4367))
% 202.92/202.79 [437]~E(x4371,x4372)+E(f431(x4373,x4374,x4375,x4371,x4376,x4377),f431(x4373,x4374,x4375,x4372,x4376,x4377))
% 202.92/202.79 [438]~E(x4381,x4382)+E(f431(x4383,x4384,x4385,x4386,x4381,x4387),f431(x4383,x4384,x4385,x4386,x4382,x4387))
% 202.92/202.79 [439]~E(x4391,x4392)+E(f431(x4393,x4394,x4395,x4396,x4397,x4391),f431(x4393,x4394,x4395,x4396,x4397,x4392))
% 202.92/202.79 [440]~E(x4401,x4402)+E(f644(x4401,x4403,x4404,x4405),f644(x4402,x4403,x4404,x4405))
% 202.92/202.79 [441]~E(x4411,x4412)+E(f644(x4413,x4411,x4414,x4415),f644(x4413,x4412,x4414,x4415))
% 202.92/202.79 [442]~E(x4421,x4422)+E(f644(x4423,x4424,x4421,x4425),f644(x4423,x4424,x4422,x4425))
% 202.92/202.79 [443]~E(x4431,x4432)+E(f644(x4433,x4434,x4435,x4431),f644(x4433,x4434,x4435,x4432))
% 202.92/202.79 [444]~E(x4441,x4442)+E(f891(x4441,x4443),f891(x4442,x4443))
% 202.92/202.79 [445]~E(x4451,x4452)+E(f891(x4453,x4451),f891(x4453,x4452))
% 202.92/202.79 [446]~E(x4461,x4462)+E(f684(x4461,x4463,x4464,x4465,x4466),f684(x4462,x4463,x4464,x4465,x4466))
% 202.92/202.79 [447]~E(x4471,x4472)+E(f684(x4473,x4471,x4474,x4475,x4476),f684(x4473,x4472,x4474,x4475,x4476))
% 202.92/202.79 [448]~E(x4481,x4482)+E(f684(x4483,x4484,x4481,x4485,x4486),f684(x4483,x4484,x4482,x4485,x4486))
% 202.92/202.79 [449]~E(x4491,x4492)+E(f684(x4493,x4494,x4495,x4491,x4496),f684(x4493,x4494,x4495,x4492,x4496))
% 202.92/202.79 [450]~E(x4501,x4502)+E(f684(x4503,x4504,x4505,x4506,x4501),f684(x4503,x4504,x4505,x4506,x4502))
% 202.92/202.79 [451]~E(x4511,x4512)+E(f618(x4511,x4513),f618(x4512,x4513))
% 202.92/202.79 [452]~E(x4521,x4522)+E(f618(x4523,x4521),f618(x4523,x4522))
% 202.92/202.79 [453]~E(x4531,x4532)+E(f505(x4531,x4533,x4534),f505(x4532,x4533,x4534))
% 202.92/202.79 [454]~E(x4541,x4542)+E(f505(x4543,x4541,x4544),f505(x4543,x4542,x4544))
% 202.92/202.79 [455]~E(x4551,x4552)+E(f505(x4553,x4554,x4551),f505(x4553,x4554,x4552))
% 202.92/202.79 [456]~E(x4561,x4562)+E(f273(x4561),f273(x4562))
% 202.92/202.79 [457]~E(x4571,x4572)+E(f302(x4571,x4573,x4574),f302(x4572,x4573,x4574))
% 202.92/202.79 [458]~E(x4581,x4582)+E(f302(x4583,x4581,x4584),f302(x4583,x4582,x4584))
% 202.92/202.79 [459]~E(x4591,x4592)+E(f302(x4593,x4594,x4591),f302(x4593,x4594,x4592))
% 202.92/202.79 [460]~E(x4601,x4602)+E(f274(x4601),f274(x4602))
% 202.92/202.79 [461]~E(x4611,x4612)+E(f305(x4611),f305(x4612))
% 202.92/202.79 [462]~E(x4621,x4622)+E(f827(x4621,x4623),f827(x4622,x4623))
% 202.92/202.79 [463]~E(x4631,x4632)+E(f827(x4633,x4631),f827(x4633,x4632))
% 202.92/202.79 [464]~E(x4641,x4642)+E(f85(x4641),f85(x4642))
% 202.92/202.79 [465]~E(x4651,x4652)+E(f538(x4651,x4653,x4654),f538(x4652,x4653,x4654))
% 202.92/202.79 [466]~E(x4661,x4662)+E(f538(x4663,x4661,x4664),f538(x4663,x4662,x4664))
% 202.92/202.79 [467]~E(x4671,x4672)+E(f538(x4673,x4674,x4671),f538(x4673,x4674,x4672))
% 202.92/202.79 [468]~E(x4681,x4682)+E(f172(x4681,x4683),f172(x4682,x4683))
% 202.92/202.79 [469]~E(x4691,x4692)+E(f172(x4693,x4691),f172(x4693,x4692))
% 202.92/202.79 [470]~E(x4701,x4702)+E(f221(x4701,x4703,x4704),f221(x4702,x4703,x4704))
% 202.92/202.79 [471]~E(x4711,x4712)+E(f221(x4713,x4711,x4714),f221(x4713,x4712,x4714))
% 202.92/202.79 [472]~E(x4721,x4722)+E(f221(x4723,x4724,x4721),f221(x4723,x4724,x4722))
% 202.92/202.79 [473]~E(x4731,x4732)+E(f34(x4731,x4733),f34(x4732,x4733))
% 202.92/202.79 [474]~E(x4741,x4742)+E(f34(x4743,x4741),f34(x4743,x4742))
% 202.92/202.79 [475]~E(x4751,x4752)+E(f709(x4751,x4753),f709(x4752,x4753))
% 202.92/202.79 [476]~E(x4761,x4762)+E(f709(x4763,x4761),f709(x4763,x4762))
% 202.92/202.79 [477]~E(x4771,x4772)+E(f623(x4771,x4773,x4774),f623(x4772,x4773,x4774))
% 202.92/202.79 [478]~E(x4781,x4782)+E(f623(x4783,x4781,x4784),f623(x4783,x4782,x4784))
% 202.92/202.79 [479]~E(x4791,x4792)+E(f623(x4793,x4794,x4791),f623(x4793,x4794,x4792))
% 202.92/202.79 [480]~E(x4801,x4802)+E(f652(x4801,x4803,x4804,x4805,x4806,x4807),f652(x4802,x4803,x4804,x4805,x4806,x4807))
% 202.92/202.79 [481]~E(x4811,x4812)+E(f652(x4813,x4811,x4814,x4815,x4816,x4817),f652(x4813,x4812,x4814,x4815,x4816,x4817))
% 202.92/202.79 [482]~E(x4821,x4822)+E(f652(x4823,x4824,x4821,x4825,x4826,x4827),f652(x4823,x4824,x4822,x4825,x4826,x4827))
% 202.92/202.79 [483]~E(x4831,x4832)+E(f652(x4833,x4834,x4835,x4831,x4836,x4837),f652(x4833,x4834,x4835,x4832,x4836,x4837))
% 202.92/202.79 [484]~E(x4841,x4842)+E(f652(x4843,x4844,x4845,x4846,x4841,x4847),f652(x4843,x4844,x4845,x4846,x4842,x4847))
% 202.92/202.79 [485]~E(x4851,x4852)+E(f652(x4853,x4854,x4855,x4856,x4857,x4851),f652(x4853,x4854,x4855,x4856,x4857,x4852))
% 202.92/202.79 [486]~E(x4861,x4862)+E(f871(x4861,x4863,x4864),f871(x4862,x4863,x4864))
% 202.92/202.79 [487]~E(x4871,x4872)+E(f871(x4873,x4871,x4874),f871(x4873,x4872,x4874))
% 202.92/202.79 [488]~E(x4881,x4882)+E(f871(x4883,x4884,x4881),f871(x4883,x4884,x4882))
% 202.92/202.79 [489]~E(x4891,x4892)+E(f868(x4891,x4893,x4894),f868(x4892,x4893,x4894))
% 202.92/202.79 [490]~E(x4901,x4902)+E(f868(x4903,x4901,x4904),f868(x4903,x4902,x4904))
% 202.92/202.79 [491]~E(x4911,x4912)+E(f868(x4913,x4914,x4911),f868(x4913,x4914,x4912))
% 202.92/202.79 [492]~E(x4921,x4922)+E(f75(x4921,x4923),f75(x4922,x4923))
% 202.92/202.79 [493]~E(x4931,x4932)+E(f75(x4933,x4931),f75(x4933,x4932))
% 202.92/202.79 [494]~E(x4941,x4942)+E(f299(x4941),f299(x4942))
% 202.92/202.79 [495]~E(x4951,x4952)+E(f167(x4951,x4953,x4954),f167(x4952,x4953,x4954))
% 202.92/202.79 [496]~E(x4961,x4962)+E(f167(x4963,x4961,x4964),f167(x4963,x4962,x4964))
% 202.92/202.79 [497]~E(x4971,x4972)+E(f167(x4973,x4974,x4971),f167(x4973,x4974,x4972))
% 202.92/202.79 [498]~E(x4981,x4982)+E(f296(x4981,x4983,x4984),f296(x4982,x4983,x4984))
% 202.92/202.79 [499]~E(x4991,x4992)+E(f296(x4993,x4991,x4994),f296(x4993,x4992,x4994))
% 202.92/202.79 [500]~E(x5001,x5002)+E(f296(x5003,x5004,x5001),f296(x5003,x5004,x5002))
% 202.92/202.79 [501]~E(x5011,x5012)+E(f177(x5011),f177(x5012))
% 202.92/202.79 [502]~E(x5021,x5022)+E(f496(x5021,x5023,x5024),f496(x5022,x5023,x5024))
% 202.92/202.79 [503]~E(x5031,x5032)+E(f496(x5033,x5031,x5034),f496(x5033,x5032,x5034))
% 202.92/202.79 [504]~E(x5041,x5042)+E(f496(x5043,x5044,x5041),f496(x5043,x5044,x5042))
% 202.92/202.79 [505]~E(x5051,x5052)+E(f149(x5051,x5053),f149(x5052,x5053))
% 202.92/202.79 [506]~E(x5061,x5062)+E(f149(x5063,x5061),f149(x5063,x5062))
% 202.92/202.79 [507]~E(x5071,x5072)+E(f349(x5071,x5073,x5074),f349(x5072,x5073,x5074))
% 202.92/202.79 [508]~E(x5081,x5082)+E(f349(x5083,x5081,x5084),f349(x5083,x5082,x5084))
% 202.92/202.79 [509]~E(x5091,x5092)+E(f349(x5093,x5094,x5091),f349(x5093,x5094,x5092))
% 202.92/202.79 [510]~E(x5101,x5102)+E(f50(x5101),f50(x5102))
% 202.92/202.79 [511]~E(x5111,x5112)+E(f603(x5111,x5113,x5114),f603(x5112,x5113,x5114))
% 202.92/202.79 [512]~E(x5121,x5122)+E(f603(x5123,x5121,x5124),f603(x5123,x5122,x5124))
% 202.92/202.79 [513]~E(x5131,x5132)+E(f603(x5133,x5134,x5131),f603(x5133,x5134,x5132))
% 202.92/202.79 [514]~E(x5141,x5142)+E(f674(x5141,x5143,x5144,x5145),f674(x5142,x5143,x5144,x5145))
% 202.92/202.79 [515]~E(x5151,x5152)+E(f674(x5153,x5151,x5154,x5155),f674(x5153,x5152,x5154,x5155))
% 202.92/202.79 [516]~E(x5161,x5162)+E(f674(x5163,x5164,x5161,x5165),f674(x5163,x5164,x5162,x5165))
% 202.92/202.79 [517]~E(x5171,x5172)+E(f674(x5173,x5174,x5175,x5171),f674(x5173,x5174,x5175,x5172))
% 202.92/202.79 [518]~E(x5181,x5182)+E(f913(x5181,x5183,x5184,x5185),f913(x5182,x5183,x5184,x5185))
% 202.92/202.79 [519]~E(x5191,x5192)+E(f913(x5193,x5191,x5194,x5195),f913(x5193,x5192,x5194,x5195))
% 202.92/202.79 [520]~E(x5201,x5202)+E(f913(x5203,x5204,x5201,x5205),f913(x5203,x5204,x5202,x5205))
% 202.92/202.79 [521]~E(x5211,x5212)+E(f913(x5213,x5214,x5215,x5211),f913(x5213,x5214,x5215,x5212))
% 202.92/202.79 [522]~E(x5221,x5222)+E(f803(x5221,x5223,x5224,x5225,x5226),f803(x5222,x5223,x5224,x5225,x5226))
% 202.92/202.79 [523]~E(x5231,x5232)+E(f803(x5233,x5231,x5234,x5235,x5236),f803(x5233,x5232,x5234,x5235,x5236))
% 202.92/202.79 [524]~E(x5241,x5242)+E(f803(x5243,x5244,x5241,x5245,x5246),f803(x5243,x5244,x5242,x5245,x5246))
% 202.92/202.79 [525]~E(x5251,x5252)+E(f803(x5253,x5254,x5255,x5251,x5256),f803(x5253,x5254,x5255,x5252,x5256))
% 202.92/202.79 [526]~E(x5261,x5262)+E(f803(x5263,x5264,x5265,x5266,x5261),f803(x5263,x5264,x5265,x5266,x5262))
% 202.92/202.79 [527]~E(x5271,x5272)+E(f811(x5271,x5273,x5274,x5275),f811(x5272,x5273,x5274,x5275))
% 202.92/202.79 [528]~E(x5281,x5282)+E(f811(x5283,x5281,x5284,x5285),f811(x5283,x5282,x5284,x5285))
% 202.92/202.79 [529]~E(x5291,x5292)+E(f811(x5293,x5294,x5291,x5295),f811(x5293,x5294,x5292,x5295))
% 202.92/202.79 [530]~E(x5301,x5302)+E(f811(x5303,x5304,x5305,x5301),f811(x5303,x5304,x5305,x5302))
% 202.92/202.79 [531]~E(x5311,x5312)+E(f42(x5311,x5313),f42(x5312,x5313))
% 202.92/202.79 [532]~E(x5321,x5322)+E(f42(x5323,x5321),f42(x5323,x5322))
% 202.92/202.79 [533]~E(x5331,x5332)+E(f671(x5331,x5333),f671(x5332,x5333))
% 202.92/202.79 [534]~E(x5341,x5342)+E(f671(x5343,x5341),f671(x5343,x5342))
% 202.92/202.79 [535]~E(x5351,x5352)+E(f185(x5351,x5353),f185(x5352,x5353))
% 202.92/202.79 [536]~E(x5361,x5362)+E(f185(x5363,x5361),f185(x5363,x5362))
% 202.92/202.79 [537]~E(x5371,x5372)+E(f129(x5371),f129(x5372))
% 202.92/202.79 [538]~E(x5381,x5382)+E(f368(x5381,x5383,x5384),f368(x5382,x5383,x5384))
% 202.92/202.79 [539]~E(x5391,x5392)+E(f368(x5393,x5391,x5394),f368(x5393,x5392,x5394))
% 202.92/202.79 [540]~E(x5401,x5402)+E(f368(x5403,x5404,x5401),f368(x5403,x5404,x5402))
% 202.92/202.79 [541]~E(x5411,x5412)+E(f472(x5411,x5413,x5414),f472(x5412,x5413,x5414))
% 202.92/202.79 [542]~E(x5421,x5422)+E(f472(x5423,x5421,x5424),f472(x5423,x5422,x5424))
% 202.92/202.79 [543]~E(x5431,x5432)+E(f472(x5433,x5434,x5431),f472(x5433,x5434,x5432))
% 202.92/202.79 [544]~E(x5441,x5442)+E(f441(x5441,x5443,x5444,x5445),f441(x5442,x5443,x5444,x5445))
% 202.92/202.79 [545]~E(x5451,x5452)+E(f441(x5453,x5451,x5454,x5455),f441(x5453,x5452,x5454,x5455))
% 202.92/202.79 [546]~E(x5461,x5462)+E(f441(x5463,x5464,x5461,x5465),f441(x5463,x5464,x5462,x5465))
% 202.92/202.79 [547]~E(x5471,x5472)+E(f441(x5473,x5474,x5475,x5471),f441(x5473,x5474,x5475,x5472))
% 202.92/202.79 [548]~E(x5481,x5482)+E(f250(x5481,x5483,x5484,x5485),f250(x5482,x5483,x5484,x5485))
% 202.92/202.79 [549]~E(x5491,x5492)+E(f250(x5493,x5491,x5494,x5495),f250(x5493,x5492,x5494,x5495))
% 202.92/202.79 [550]~E(x5501,x5502)+E(f250(x5503,x5504,x5501,x5505),f250(x5503,x5504,x5502,x5505))
% 202.92/202.79 [551]~E(x5511,x5512)+E(f250(x5513,x5514,x5515,x5511),f250(x5513,x5514,x5515,x5512))
% 202.92/202.79 [552]~E(x5521,x5522)+E(f303(x5521,x5523),f303(x5522,x5523))
% 202.92/202.79 [553]~E(x5531,x5532)+E(f303(x5533,x5531),f303(x5533,x5532))
% 202.92/202.79 [554]~E(x5541,x5542)+E(f401(x5541,x5543,x5544,x5545,x5546),f401(x5542,x5543,x5544,x5545,x5546))
% 202.92/202.79 [555]~E(x5551,x5552)+E(f401(x5553,x5551,x5554,x5555,x5556),f401(x5553,x5552,x5554,x5555,x5556))
% 202.92/202.79 [556]~E(x5561,x5562)+E(f401(x5563,x5564,x5561,x5565,x5566),f401(x5563,x5564,x5562,x5565,x5566))
% 202.92/202.79 [557]~E(x5571,x5572)+E(f401(x5573,x5574,x5575,x5571,x5576),f401(x5573,x5574,x5575,x5572,x5576))
% 202.92/202.79 [558]~E(x5581,x5582)+E(f401(x5583,x5584,x5585,x5586,x5581),f401(x5583,x5584,x5585,x5586,x5582))
% 202.92/202.79 [559]~E(x5591,x5592)+E(f838(x5591,x5593,x5594,x5595),f838(x5592,x5593,x5594,x5595))
% 202.92/202.79 [560]~E(x5601,x5602)+E(f838(x5603,x5601,x5604,x5605),f838(x5603,x5602,x5604,x5605))
% 202.92/202.79 [561]~E(x5611,x5612)+E(f838(x5613,x5614,x5611,x5615),f838(x5613,x5614,x5612,x5615))
% 202.92/202.79 [562]~E(x5621,x5622)+E(f838(x5623,x5624,x5625,x5621),f838(x5623,x5624,x5625,x5622))
% 202.92/202.79 [563]~E(x5631,x5632)+E(f292(x5631),f292(x5632))
% 202.92/202.79 [564]~E(x5641,x5642)+E(f366(x5641,x5643,x5644,x5645),f366(x5642,x5643,x5644,x5645))
% 202.92/202.79 [565]~E(x5651,x5652)+E(f366(x5653,x5651,x5654,x5655),f366(x5653,x5652,x5654,x5655))
% 202.92/202.79 [566]~E(x5661,x5662)+E(f366(x5663,x5664,x5661,x5665),f366(x5663,x5664,x5662,x5665))
% 202.92/202.79 [567]~E(x5671,x5672)+E(f366(x5673,x5674,x5675,x5671),f366(x5673,x5674,x5675,x5672))
% 202.92/202.79 [568]~E(x5681,x5682)+E(f255(x5681,x5683),f255(x5682,x5683))
% 202.92/202.79 [569]~E(x5691,x5692)+E(f255(x5693,x5691),f255(x5693,x5692))
% 202.92/202.79 [570]~E(x5701,x5702)+E(f174(x5701,x5703),f174(x5702,x5703))
% 202.92/202.79 [571]~E(x5711,x5712)+E(f174(x5713,x5711),f174(x5713,x5712))
% 202.92/202.79 [572]~E(x5721,x5722)+E(f288(x5721,x5723,x5724,x5725,x5726),f288(x5722,x5723,x5724,x5725,x5726))
% 202.92/202.79 [573]~E(x5731,x5732)+E(f288(x5733,x5731,x5734,x5735,x5736),f288(x5733,x5732,x5734,x5735,x5736))
% 202.92/202.79 [574]~E(x5741,x5742)+E(f288(x5743,x5744,x5741,x5745,x5746),f288(x5743,x5744,x5742,x5745,x5746))
% 202.92/202.79 [575]~E(x5751,x5752)+E(f288(x5753,x5754,x5755,x5751,x5756),f288(x5753,x5754,x5755,x5752,x5756))
% 202.92/202.79 [576]~E(x5761,x5762)+E(f288(x5763,x5764,x5765,x5766,x5761),f288(x5763,x5764,x5765,x5766,x5762))
% 202.92/202.79 [577]~E(x5771,x5772)+E(f458(x5771,x5773,x5774),f458(x5772,x5773,x5774))
% 202.92/202.79 [578]~E(x5781,x5782)+E(f458(x5783,x5781,x5784),f458(x5783,x5782,x5784))
% 202.92/202.79 [579]~E(x5791,x5792)+E(f458(x5793,x5794,x5791),f458(x5793,x5794,x5792))
% 202.92/202.79 [580]~E(x5801,x5802)+E(f528(x5801,x5803,x5804,x5805),f528(x5802,x5803,x5804,x5805))
% 202.92/202.79 [581]~E(x5811,x5812)+E(f528(x5813,x5811,x5814,x5815),f528(x5813,x5812,x5814,x5815))
% 202.92/202.79 [582]~E(x5821,x5822)+E(f528(x5823,x5824,x5821,x5825),f528(x5823,x5824,x5822,x5825))
% 202.92/202.79 [583]~E(x5831,x5832)+E(f528(x5833,x5834,x5835,x5831),f528(x5833,x5834,x5835,x5832))
% 202.92/202.79 [584]~E(x5841,x5842)+E(f688(x5841,x5843,x5844,x5845),f688(x5842,x5843,x5844,x5845))
% 202.92/202.79 [585]~E(x5851,x5852)+E(f688(x5853,x5851,x5854,x5855),f688(x5853,x5852,x5854,x5855))
% 202.92/202.79 [586]~E(x5861,x5862)+E(f688(x5863,x5864,x5861,x5865),f688(x5863,x5864,x5862,x5865))
% 202.92/202.79 [587]~E(x5871,x5872)+E(f688(x5873,x5874,x5875,x5871),f688(x5873,x5874,x5875,x5872))
% 202.92/202.79 [588]~E(x5881,x5882)+E(f116(x5881,x5883),f116(x5882,x5883))
% 202.92/202.79 [589]~E(x5891,x5892)+E(f116(x5893,x5891),f116(x5893,x5892))
% 202.92/202.79 [590]~E(x5901,x5902)+E(f151(x5901,x5903),f151(x5902,x5903))
% 202.92/202.79 [591]~E(x5911,x5912)+E(f151(x5913,x5911),f151(x5913,x5912))
% 202.92/202.79 [592]~E(x5921,x5922)+E(f383(x5921,x5923,x5924),f383(x5922,x5923,x5924))
% 202.92/202.79 [593]~E(x5931,x5932)+E(f383(x5933,x5931,x5934),f383(x5933,x5932,x5934))
% 202.92/202.79 [594]~E(x5941,x5942)+E(f383(x5943,x5944,x5941),f383(x5943,x5944,x5942))
% 202.92/202.79 [595]~E(x5951,x5952)+E(f51(x5951),f51(x5952))
% 202.92/202.79 [596]~E(x5961,x5962)+E(f613(x5961,x5963,x5964,x5965,x5966,x5967),f613(x5962,x5963,x5964,x5965,x5966,x5967))
% 202.92/202.79 [597]~E(x5971,x5972)+E(f613(x5973,x5971,x5974,x5975,x5976,x5977),f613(x5973,x5972,x5974,x5975,x5976,x5977))
% 202.92/202.79 [598]~E(x5981,x5982)+E(f613(x5983,x5984,x5981,x5985,x5986,x5987),f613(x5983,x5984,x5982,x5985,x5986,x5987))
% 202.92/202.79 [599]~E(x5991,x5992)+E(f613(x5993,x5994,x5995,x5991,x5996,x5997),f613(x5993,x5994,x5995,x5992,x5996,x5997))
% 202.92/202.79 [600]~E(x6001,x6002)+E(f613(x6003,x6004,x6005,x6006,x6001,x6007),f613(x6003,x6004,x6005,x6006,x6002,x6007))
% 202.92/202.79 [601]~E(x6011,x6012)+E(f613(x6013,x6014,x6015,x6016,x6017,x6011),f613(x6013,x6014,x6015,x6016,x6017,x6012))
% 202.92/202.79 [602]~E(x6021,x6022)+E(f886(x6021,x6023,x6024),f886(x6022,x6023,x6024))
% 202.92/202.79 [603]~E(x6031,x6032)+E(f886(x6033,x6031,x6034),f886(x6033,x6032,x6034))
% 202.92/202.79 [604]~E(x6041,x6042)+E(f886(x6043,x6044,x6041),f886(x6043,x6044,x6042))
% 202.92/202.79 [605]~E(x6051,x6052)+E(f136(x6051,x6053),f136(x6052,x6053))
% 202.92/202.79 [606]~E(x6061,x6062)+E(f136(x6063,x6061),f136(x6063,x6062))
% 202.92/202.79 [607]~E(x6071,x6072)+E(f16(x6071,x6073),f16(x6072,x6073))
% 202.92/202.79 [608]~E(x6081,x6082)+E(f16(x6083,x6081),f16(x6083,x6082))
% 202.92/202.79 [609]~E(x6091,x6092)+E(f150(x6091,x6093),f150(x6092,x6093))
% 202.92/202.79 [610]~E(x6101,x6102)+E(f150(x6103,x6101),f150(x6103,x6102))
% 202.92/202.79 [611]~E(x6111,x6112)+E(f415(x6111,x6113,x6114,x6115),f415(x6112,x6113,x6114,x6115))
% 202.92/202.79 [612]~E(x6121,x6122)+E(f415(x6123,x6121,x6124,x6125),f415(x6123,x6122,x6124,x6125))
% 202.92/202.79 [613]~E(x6131,x6132)+E(f415(x6133,x6134,x6131,x6135),f415(x6133,x6134,x6132,x6135))
% 202.92/202.79 [614]~E(x6141,x6142)+E(f415(x6143,x6144,x6145,x6141),f415(x6143,x6144,x6145,x6142))
% 202.92/202.79 [615]~E(x6151,x6152)+E(f692(x6151,x6153,x6154,x6155,x6156),f692(x6152,x6153,x6154,x6155,x6156))
% 202.92/202.79 [616]~E(x6161,x6162)+E(f692(x6163,x6161,x6164,x6165,x6166),f692(x6163,x6162,x6164,x6165,x6166))
% 202.92/202.79 [617]~E(x6171,x6172)+E(f692(x6173,x6174,x6171,x6175,x6176),f692(x6173,x6174,x6172,x6175,x6176))
% 202.92/202.79 [618]~E(x6181,x6182)+E(f692(x6183,x6184,x6185,x6181,x6186),f692(x6183,x6184,x6185,x6182,x6186))
% 202.92/202.79 [619]~E(x6191,x6192)+E(f692(x6193,x6194,x6195,x6196,x6191),f692(x6193,x6194,x6195,x6196,x6192))
% 202.92/202.79 [620]~E(x6201,x6202)+E(f873(x6201,x6203,x6204),f873(x6202,x6203,x6204))
% 202.92/202.79 [621]~E(x6211,x6212)+E(f873(x6213,x6211,x6214),f873(x6213,x6212,x6214))
% 202.92/202.79 [622]~E(x6221,x6222)+E(f873(x6223,x6224,x6221),f873(x6223,x6224,x6222))
% 202.92/202.79 [623]~E(x6231,x6232)+E(f874(x6231,x6233,x6234),f874(x6232,x6233,x6234))
% 202.92/202.79 [624]~E(x6241,x6242)+E(f874(x6243,x6241,x6244),f874(x6243,x6242,x6244))
% 202.92/202.79 [625]~E(x6251,x6252)+E(f874(x6253,x6254,x6251),f874(x6253,x6254,x6252))
% 202.92/202.79 [626]~E(x6261,x6262)+E(f60(x6261,x6263,x6264,x6265,x6266),f60(x6262,x6263,x6264,x6265,x6266))
% 202.92/202.79 [627]~E(x6271,x6272)+E(f60(x6273,x6271,x6274,x6275,x6276),f60(x6273,x6272,x6274,x6275,x6276))
% 202.92/202.79 [628]~E(x6281,x6282)+E(f60(x6283,x6284,x6281,x6285,x6286),f60(x6283,x6284,x6282,x6285,x6286))
% 202.92/202.79 [629]~E(x6291,x6292)+E(f60(x6293,x6294,x6295,x6291,x6296),f60(x6293,x6294,x6295,x6292,x6296))
% 202.92/202.79 [630]~E(x6301,x6302)+E(f60(x6303,x6304,x6305,x6306,x6301),f60(x6303,x6304,x6305,x6306,x6302))
% 202.92/202.79 [631]~E(x6311,x6312)+E(f530(x6311),f530(x6312))
% 202.92/202.79 [632]~E(x6321,x6322)+E(f166(x6321),f166(x6322))
% 202.92/202.79 [633]~E(x6331,x6332)+E(f37(x6331),f37(x6332))
% 202.92/202.79 [634]~E(x6341,x6342)+E(f279(x6341,x6343),f279(x6342,x6343))
% 202.92/202.79 [635]~E(x6351,x6352)+E(f279(x6353,x6351),f279(x6353,x6352))
% 202.92/202.79 [636]~E(x6361,x6362)+E(f809(x6361),f809(x6362))
% 202.92/202.79 [637]~E(x6371,x6372)+E(f132(x6371),f132(x6372))
% 202.92/202.79 [638]~E(x6381,x6382)+E(f736(x6381,x6383),f736(x6382,x6383))
% 202.92/202.79 [639]~E(x6391,x6392)+E(f736(x6393,x6391),f736(x6393,x6392))
% 202.92/202.79 [640]~E(x6401,x6402)+E(f304(x6401,x6403,x6404,x6405),f304(x6402,x6403,x6404,x6405))
% 202.92/202.79 [641]~E(x6411,x6412)+E(f304(x6413,x6411,x6414,x6415),f304(x6413,x6412,x6414,x6415))
% 202.92/202.79 [642]~E(x6421,x6422)+E(f304(x6423,x6424,x6421,x6425),f304(x6423,x6424,x6422,x6425))
% 202.92/202.79 [643]~E(x6431,x6432)+E(f304(x6433,x6434,x6435,x6431),f304(x6433,x6434,x6435,x6432))
% 202.92/202.79 [644]~E(x6441,x6442)+E(f557(x6441,x6443,x6444,x6445,x6446,x6447),f557(x6442,x6443,x6444,x6445,x6446,x6447))
% 202.92/202.79 [645]~E(x6451,x6452)+E(f557(x6453,x6451,x6454,x6455,x6456,x6457),f557(x6453,x6452,x6454,x6455,x6456,x6457))
% 202.92/202.79 [646]~E(x6461,x6462)+E(f557(x6463,x6464,x6461,x6465,x6466,x6467),f557(x6463,x6464,x6462,x6465,x6466,x6467))
% 202.92/202.79 [647]~E(x6471,x6472)+E(f557(x6473,x6474,x6475,x6471,x6476,x6477),f557(x6473,x6474,x6475,x6472,x6476,x6477))
% 202.92/202.79 [648]~E(x6481,x6482)+E(f557(x6483,x6484,x6485,x6486,x6481,x6487),f557(x6483,x6484,x6485,x6486,x6482,x6487))
% 202.92/202.79 [649]~E(x6491,x6492)+E(f557(x6493,x6494,x6495,x6496,x6497,x6491),f557(x6493,x6494,x6495,x6496,x6497,x6492))
% 202.92/202.79 [650]~E(x6501,x6502)+E(f408(x6501,x6503,x6504,x6505,x6506),f408(x6502,x6503,x6504,x6505,x6506))
% 202.92/202.79 [651]~E(x6511,x6512)+E(f408(x6513,x6511,x6514,x6515,x6516),f408(x6513,x6512,x6514,x6515,x6516))
% 202.92/202.79 [652]~E(x6521,x6522)+E(f408(x6523,x6524,x6521,x6525,x6526),f408(x6523,x6524,x6522,x6525,x6526))
% 202.92/202.79 [653]~E(x6531,x6532)+E(f408(x6533,x6534,x6535,x6531,x6536),f408(x6533,x6534,x6535,x6532,x6536))
% 202.92/202.79 [654]~E(x6541,x6542)+E(f408(x6543,x6544,x6545,x6546,x6541),f408(x6543,x6544,x6545,x6546,x6542))
% 202.92/202.79 [655]~E(x6551,x6552)+E(f327(x6551),f327(x6552))
% 202.92/202.79 [656]~E(x6561,x6562)+E(f12(x6561,x6563),f12(x6562,x6563))
% 202.92/202.79 [657]~E(x6571,x6572)+E(f12(x6573,x6571),f12(x6573,x6572))
% 202.92/202.79 [658]~E(x6581,x6582)+E(f686(x6581,x6583,x6584,x6585),f686(x6582,x6583,x6584,x6585))
% 202.92/202.79 [659]~E(x6591,x6592)+E(f686(x6593,x6591,x6594,x6595),f686(x6593,x6592,x6594,x6595))
% 202.92/202.79 [660]~E(x6601,x6602)+E(f686(x6603,x6604,x6601,x6605),f686(x6603,x6604,x6602,x6605))
% 202.92/202.79 [661]~E(x6611,x6612)+E(f686(x6613,x6614,x6615,x6611),f686(x6613,x6614,x6615,x6612))
% 202.92/202.79 [662]~E(x6621,x6622)+E(f875(x6621,x6623,x6624,x6625),f875(x6622,x6623,x6624,x6625))
% 202.92/202.79 [663]~E(x6631,x6632)+E(f875(x6633,x6631,x6634,x6635),f875(x6633,x6632,x6634,x6635))
% 202.92/202.79 [664]~E(x6641,x6642)+E(f875(x6643,x6644,x6641,x6645),f875(x6643,x6644,x6642,x6645))
% 202.92/202.79 [665]~E(x6651,x6652)+E(f875(x6653,x6654,x6655,x6651),f875(x6653,x6654,x6655,x6652))
% 202.92/202.79 [666]~E(x6661,x6662)+E(f15(x6661,x6663),f15(x6662,x6663))
% 202.92/202.79 [667]~E(x6671,x6672)+E(f15(x6673,x6671),f15(x6673,x6672))
% 202.92/202.79 [668]~E(x6681,x6682)+E(f367(x6681,x6683,x6684),f367(x6682,x6683,x6684))
% 202.92/202.79 [669]~E(x6691,x6692)+E(f367(x6693,x6691,x6694),f367(x6693,x6692,x6694))
% 202.92/202.79 [670]~E(x6701,x6702)+E(f367(x6703,x6704,x6701),f367(x6703,x6704,x6702))
% 202.92/202.79 [671]~E(x6711,x6712)+E(f439(x6711,x6713,x6714),f439(x6712,x6713,x6714))
% 202.92/202.79 [672]~E(x6721,x6722)+E(f439(x6723,x6721,x6724),f439(x6723,x6722,x6724))
% 202.92/202.79 [673]~E(x6731,x6732)+E(f439(x6733,x6734,x6731),f439(x6733,x6734,x6732))
% 202.92/202.79 [674]~E(x6741,x6742)+E(f777(x6741,x6743,x6744),f777(x6742,x6743,x6744))
% 202.92/202.79 [675]~E(x6751,x6752)+E(f777(x6753,x6751,x6754),f777(x6753,x6752,x6754))
% 202.92/202.79 [676]~E(x6761,x6762)+E(f777(x6763,x6764,x6761),f777(x6763,x6764,x6762))
% 202.92/202.79 [677]~E(x6771,x6772)+E(f41(x6771,x6773),f41(x6772,x6773))
% 202.92/202.79 [678]~E(x6781,x6782)+E(f41(x6783,x6781),f41(x6783,x6782))
% 202.92/202.79 [679]~E(x6791,x6792)+E(f548(x6791,x6793),f548(x6792,x6793))
% 202.92/202.79 [680]~E(x6801,x6802)+E(f548(x6803,x6801),f548(x6803,x6802))
% 202.92/202.79 [681]~E(x6811,x6812)+E(f295(x6811),f295(x6812))
% 202.92/202.79 [682]~E(x6821,x6822)+E(f324(x6821),f324(x6822))
% 202.92/202.79 [683]~E(x6831,x6832)+E(f70(x6831,x6833,x6834,x6835),f70(x6832,x6833,x6834,x6835))
% 202.92/202.79 [684]~E(x6841,x6842)+E(f70(x6843,x6841,x6844,x6845),f70(x6843,x6842,x6844,x6845))
% 202.92/202.79 [685]~E(x6851,x6852)+E(f70(x6853,x6854,x6851,x6855),f70(x6853,x6854,x6852,x6855))
% 202.92/202.79 [686]~E(x6861,x6862)+E(f70(x6863,x6864,x6865,x6861),f70(x6863,x6864,x6865,x6862))
% 202.92/202.79 [687]~E(x6871,x6872)+E(f289(x6871,x6873,x6874),f289(x6872,x6873,x6874))
% 202.92/202.79 [688]~E(x6881,x6882)+E(f289(x6883,x6881,x6884),f289(x6883,x6882,x6884))
% 202.92/202.79 [689]~E(x6891,x6892)+E(f289(x6893,x6894,x6891),f289(x6893,x6894,x6892))
% 202.92/202.79 [690]~E(x6901,x6902)+E(f865(x6901,x6903,x6904),f865(x6902,x6903,x6904))
% 202.92/202.79 [691]~E(x6911,x6912)+E(f865(x6913,x6911,x6914),f865(x6913,x6912,x6914))
% 202.92/202.79 [692]~E(x6921,x6922)+E(f865(x6923,x6924,x6921),f865(x6923,x6924,x6922))
% 202.92/202.79 [693]~E(x6931,x6932)+E(f40(x6931,x6933),f40(x6932,x6933))
% 202.92/202.79 [694]~E(x6941,x6942)+E(f40(x6943,x6941),f40(x6943,x6942))
% 202.92/202.79 [695]~E(x6951,x6952)+E(f483(x6951,x6953,x6954,x6955,x6956),f483(x6952,x6953,x6954,x6955,x6956))
% 202.92/202.79 [696]~E(x6961,x6962)+E(f483(x6963,x6961,x6964,x6965,x6966),f483(x6963,x6962,x6964,x6965,x6966))
% 202.92/202.79 [697]~E(x6971,x6972)+E(f483(x6973,x6974,x6971,x6975,x6976),f483(x6973,x6974,x6972,x6975,x6976))
% 202.92/202.79 [698]~E(x6981,x6982)+E(f483(x6983,x6984,x6985,x6981,x6986),f483(x6983,x6984,x6985,x6982,x6986))
% 202.92/202.79 [699]~E(x6991,x6992)+E(f483(x6993,x6994,x6995,x6996,x6991),f483(x6993,x6994,x6995,x6996,x6992))
% 202.92/202.79 [700]~E(x7001,x7002)+E(f330(x7001,x7003,x7004),f330(x7002,x7003,x7004))
% 202.92/202.79 [701]~E(x7011,x7012)+E(f330(x7013,x7011,x7014),f330(x7013,x7012,x7014))
% 202.92/202.79 [702]~E(x7021,x7022)+E(f330(x7023,x7024,x7021),f330(x7023,x7024,x7022))
% 202.92/202.79 [703]~E(x7031,x7032)+E(f290(x7031,x7033,x7034,x7035),f290(x7032,x7033,x7034,x7035))
% 202.92/202.79 [704]~E(x7041,x7042)+E(f290(x7043,x7041,x7044,x7045),f290(x7043,x7042,x7044,x7045))
% 202.92/202.79 [705]~E(x7051,x7052)+E(f290(x7053,x7054,x7051,x7055),f290(x7053,x7054,x7052,x7055))
% 202.92/202.79 [706]~E(x7061,x7062)+E(f290(x7063,x7064,x7065,x7061),f290(x7063,x7064,x7065,x7062))
% 202.92/202.79 [707]~E(x7071,x7072)+E(f147(x7071,x7073,x7074,x7075),f147(x7072,x7073,x7074,x7075))
% 202.92/202.79 [708]~E(x7081,x7082)+E(f147(x7083,x7081,x7084,x7085),f147(x7083,x7082,x7084,x7085))
% 202.92/202.79 [709]~E(x7091,x7092)+E(f147(x7093,x7094,x7091,x7095),f147(x7093,x7094,x7092,x7095))
% 202.92/202.79 [710]~E(x7101,x7102)+E(f147(x7103,x7104,x7105,x7101),f147(x7103,x7104,x7105,x7102))
% 202.92/202.79 [711]~E(x7111,x7112)+E(f43(x7111,x7113),f43(x7112,x7113))
% 202.92/202.79 [712]~E(x7121,x7122)+E(f43(x7123,x7121),f43(x7123,x7122))
% 202.92/202.79 [713]~E(x7131,x7132)+E(f705(x7131,x7133,x7134,x7135,x7136),f705(x7132,x7133,x7134,x7135,x7136))
% 202.92/202.79 [714]~E(x7141,x7142)+E(f705(x7143,x7141,x7144,x7145,x7146),f705(x7143,x7142,x7144,x7145,x7146))
% 202.92/202.79 [715]~E(x7151,x7152)+E(f705(x7153,x7154,x7151,x7155,x7156),f705(x7153,x7154,x7152,x7155,x7156))
% 202.92/202.79 [716]~E(x7161,x7162)+E(f705(x7163,x7164,x7165,x7161,x7166),f705(x7163,x7164,x7165,x7162,x7166))
% 202.92/202.79 [717]~E(x7171,x7172)+E(f705(x7173,x7174,x7175,x7176,x7171),f705(x7173,x7174,x7175,x7176,x7172))
% 202.92/202.79 [718]~E(x7181,x7182)+E(f784(x7181,x7183,x7184,x7185),f784(x7182,x7183,x7184,x7185))
% 202.92/202.79 [719]~E(x7191,x7192)+E(f784(x7193,x7191,x7194,x7195),f784(x7193,x7192,x7194,x7195))
% 202.92/202.79 [720]~E(x7201,x7202)+E(f784(x7203,x7204,x7201,x7205),f784(x7203,x7204,x7202,x7205))
% 202.92/202.79 [721]~E(x7211,x7212)+E(f784(x7213,x7214,x7215,x7211),f784(x7213,x7214,x7215,x7212))
% 202.92/202.79 [722]~E(x7221,x7222)+E(f510(x7221,x7223,x7224),f510(x7222,x7223,x7224))
% 202.92/202.79 [723]~E(x7231,x7232)+E(f510(x7233,x7231,x7234),f510(x7233,x7232,x7234))
% 202.92/202.79 [724]~E(x7241,x7242)+E(f510(x7243,x7244,x7241),f510(x7243,x7244,x7242))
% 202.92/202.79 [725]~E(x7251,x7252)+E(f668(x7251,x7253,x7254),f668(x7252,x7253,x7254))
% 202.92/202.79 [726]~E(x7261,x7262)+E(f668(x7263,x7261,x7264),f668(x7263,x7262,x7264))
% 202.92/202.79 [727]~E(x7271,x7272)+E(f668(x7273,x7274,x7271),f668(x7273,x7274,x7272))
% 202.92/202.79 [728]~E(x7281,x7282)+E(f678(x7281,x7283),f678(x7282,x7283))
% 202.92/202.79 [729]~E(x7291,x7292)+E(f678(x7293,x7291),f678(x7293,x7292))
% 202.92/202.79 [730]~E(x7301,x7302)+E(f276(x7301,x7303,x7304),f276(x7302,x7303,x7304))
% 202.92/202.79 [731]~E(x7311,x7312)+E(f276(x7313,x7311,x7314),f276(x7313,x7312,x7314))
% 202.92/202.79 [732]~E(x7321,x7322)+E(f276(x7323,x7324,x7321),f276(x7323,x7324,x7322))
% 202.92/202.79 [733]~E(x7331,x7332)+E(f363(x7331,x7333,x7334),f363(x7332,x7333,x7334))
% 202.92/202.79 [734]~E(x7341,x7342)+E(f363(x7343,x7341,x7344),f363(x7343,x7342,x7344))
% 202.92/202.79 [735]~E(x7351,x7352)+E(f363(x7353,x7354,x7351),f363(x7353,x7354,x7352))
% 202.92/202.79 [736]~E(x7361,x7362)+E(f635(x7361,x7363,x7364),f635(x7362,x7363,x7364))
% 202.92/202.79 [737]~E(x7371,x7372)+E(f635(x7373,x7371,x7374),f635(x7373,x7372,x7374))
% 202.92/202.79 [738]~E(x7381,x7382)+E(f635(x7383,x7384,x7381),f635(x7383,x7384,x7382))
% 202.92/202.79 [739]~E(x7391,x7392)+E(f673(x7391,x7393,x7394,x7395),f673(x7392,x7393,x7394,x7395))
% 202.92/202.79 [740]~E(x7401,x7402)+E(f673(x7403,x7401,x7404,x7405),f673(x7403,x7402,x7404,x7405))
% 202.92/202.79 [741]~E(x7411,x7412)+E(f673(x7413,x7414,x7411,x7415),f673(x7413,x7414,x7412,x7415))
% 202.92/202.79 [742]~E(x7421,x7422)+E(f673(x7423,x7424,x7425,x7421),f673(x7423,x7424,x7425,x7422))
% 202.92/202.79 [743]~E(x7431,x7432)+E(f714(x7431,x7433),f714(x7432,x7433))
% 202.92/202.79 [744]~E(x7441,x7442)+E(f714(x7443,x7441),f714(x7443,x7442))
% 202.92/202.79 [745]~E(x7451,x7452)+E(f896(x7451,x7453,x7454,x7455),f896(x7452,x7453,x7454,x7455))
% 202.92/202.79 [746]~E(x7461,x7462)+E(f896(x7463,x7461,x7464,x7465),f896(x7463,x7462,x7464,x7465))
% 202.92/202.79 [747]~E(x7471,x7472)+E(f896(x7473,x7474,x7471,x7475),f896(x7473,x7474,x7472,x7475))
% 202.92/202.79 [748]~E(x7481,x7482)+E(f896(x7483,x7484,x7485,x7481),f896(x7483,x7484,x7485,x7482))
% 202.92/202.79 [749]~E(x7491,x7492)+E(f521(x7491,x7493,x7494,x7495,x7496,x7497,x7498,x7499),f521(x7492,x7493,x7494,x7495,x7496,x7497,x7498,x7499))
% 202.92/202.79 [750]~E(x7501,x7502)+E(f521(x7503,x7501,x7504,x7505,x7506,x7507,x7508,x7509),f521(x7503,x7502,x7504,x7505,x7506,x7507,x7508,x7509))
% 202.92/202.79 [751]~E(x7511,x7512)+E(f521(x7513,x7514,x7511,x7515,x7516,x7517,x7518,x7519),f521(x7513,x7514,x7512,x7515,x7516,x7517,x7518,x7519))
% 202.92/202.79 [752]~E(x7521,x7522)+E(f521(x7523,x7524,x7525,x7521,x7526,x7527,x7528,x7529),f521(x7523,x7524,x7525,x7522,x7526,x7527,x7528,x7529))
% 202.92/202.79 [753]~E(x7531,x7532)+E(f521(x7533,x7534,x7535,x7536,x7531,x7537,x7538,x7539),f521(x7533,x7534,x7535,x7536,x7532,x7537,x7538,x7539))
% 202.92/202.79 [754]~E(x7541,x7542)+E(f521(x7543,x7544,x7545,x7546,x7547,x7541,x7548,x7549),f521(x7543,x7544,x7545,x7546,x7547,x7542,x7548,x7549))
% 202.92/202.79 [755]~E(x7551,x7552)+E(f521(x7553,x7554,x7555,x7556,x7557,x7558,x7551,x7559),f521(x7553,x7554,x7555,x7556,x7557,x7558,x7552,x7559))
% 202.92/202.79 [756]~E(x7561,x7562)+E(f521(x7563,x7564,x7565,x7566,x7567,x7568,x7569,x7561),f521(x7563,x7564,x7565,x7566,x7567,x7568,x7569,x7562))
% 202.92/202.79 [757]~E(x7571,x7572)+E(f767(x7571,x7573,x7574),f767(x7572,x7573,x7574))
% 202.92/202.79 [758]~E(x7581,x7582)+E(f767(x7583,x7581,x7584),f767(x7583,x7582,x7584))
% 202.92/202.79 [759]~E(x7591,x7592)+E(f767(x7593,x7594,x7591),f767(x7593,x7594,x7592))
% 202.92/202.79 [760]~E(x7601,x7602)+E(f731(x7601,x7603),f731(x7602,x7603))
% 202.92/202.79 [761]~E(x7611,x7612)+E(f731(x7613,x7611),f731(x7613,x7612))
% 202.92/202.79 [762]~E(x7621,x7622)+E(f207(x7621,x7623),f207(x7622,x7623))
% 202.92/202.79 [763]~E(x7631,x7632)+E(f207(x7633,x7631),f207(x7633,x7632))
% 202.92/202.79 [764]~E(x7641,x7642)+E(f380(x7641,x7643,x7644),f380(x7642,x7643,x7644))
% 202.92/202.79 [765]~E(x7651,x7652)+E(f380(x7653,x7651,x7654),f380(x7653,x7652,x7654))
% 202.92/202.79 [766]~E(x7661,x7662)+E(f380(x7663,x7664,x7661),f380(x7663,x7664,x7662))
% 202.92/202.79 [767]~E(x7671,x7672)+E(f562(x7671,x7673,x7674,x7675,x7676,x7677),f562(x7672,x7673,x7674,x7675,x7676,x7677))
% 202.92/202.79 [768]~E(x7681,x7682)+E(f562(x7683,x7681,x7684,x7685,x7686,x7687),f562(x7683,x7682,x7684,x7685,x7686,x7687))
% 202.92/202.79 [769]~E(x7691,x7692)+E(f562(x7693,x7694,x7691,x7695,x7696,x7697),f562(x7693,x7694,x7692,x7695,x7696,x7697))
% 202.92/202.79 [770]~E(x7701,x7702)+E(f562(x7703,x7704,x7705,x7701,x7706,x7707),f562(x7703,x7704,x7705,x7702,x7706,x7707))
% 202.92/202.79 [771]~E(x7711,x7712)+E(f562(x7713,x7714,x7715,x7716,x7711,x7717),f562(x7713,x7714,x7715,x7716,x7712,x7717))
% 202.92/202.79 [772]~E(x7721,x7722)+E(f562(x7723,x7724,x7725,x7726,x7727,x7721),f562(x7723,x7724,x7725,x7726,x7727,x7722))
% 202.92/202.79 [773]~E(x7731,x7732)+E(f593(x7731,x7733,x7734),f593(x7732,x7733,x7734))
% 202.92/202.79 [774]~E(x7741,x7742)+E(f593(x7743,x7741,x7744),f593(x7743,x7742,x7744))
% 202.92/202.79 [775]~E(x7751,x7752)+E(f593(x7753,x7754,x7751),f593(x7753,x7754,x7752))
% 202.92/202.79 [776]~E(x7761,x7762)+E(f203(x7761),f203(x7762))
% 202.92/202.79 [777]~E(x7771,x7772)+E(f779(x7771,x7773,x7774,x7775),f779(x7772,x7773,x7774,x7775))
% 202.92/202.79 [778]~E(x7781,x7782)+E(f779(x7783,x7781,x7784,x7785),f779(x7783,x7782,x7784,x7785))
% 202.92/202.79 [779]~E(x7791,x7792)+E(f779(x7793,x7794,x7791,x7795),f779(x7793,x7794,x7792,x7795))
% 202.92/202.79 [780]~E(x7801,x7802)+E(f779(x7803,x7804,x7805,x7801),f779(x7803,x7804,x7805,x7802))
% 202.92/202.79 [781]~E(x7811,x7812)+E(f407(x7811,x7813,x7814,x7815,x7816),f407(x7812,x7813,x7814,x7815,x7816))
% 202.92/202.79 [782]~E(x7821,x7822)+E(f407(x7823,x7821,x7824,x7825,x7826),f407(x7823,x7822,x7824,x7825,x7826))
% 202.92/202.79 [783]~E(x7831,x7832)+E(f407(x7833,x7834,x7831,x7835,x7836),f407(x7833,x7834,x7832,x7835,x7836))
% 202.92/202.79 [784]~E(x7841,x7842)+E(f407(x7843,x7844,x7845,x7841,x7846),f407(x7843,x7844,x7845,x7842,x7846))
% 202.92/202.79 [785]~E(x7851,x7852)+E(f407(x7853,x7854,x7855,x7856,x7851),f407(x7853,x7854,x7855,x7856,x7852))
% 202.92/202.79 [786]~E(x7861,x7862)+E(f171(x7861),f171(x7862))
% 202.92/202.79 [787]~E(x7871,x7872)+E(f429(x7871,x7873,x7874),f429(x7872,x7873,x7874))
% 202.92/202.79 [788]~E(x7881,x7882)+E(f429(x7883,x7881,x7884),f429(x7883,x7882,x7884))
% 202.92/202.79 [789]~E(x7891,x7892)+E(f429(x7893,x7894,x7891),f429(x7893,x7894,x7892))
% 202.92/202.79 [790]~E(x7901,x7902)+E(f486(x7901,x7903,x7904,x7905,x7906),f486(x7902,x7903,x7904,x7905,x7906))
% 202.92/202.79 [791]~E(x7911,x7912)+E(f486(x7913,x7911,x7914,x7915,x7916),f486(x7913,x7912,x7914,x7915,x7916))
% 202.92/202.79 [792]~E(x7921,x7922)+E(f486(x7923,x7924,x7921,x7925,x7926),f486(x7923,x7924,x7922,x7925,x7926))
% 202.92/202.79 [793]~E(x7931,x7932)+E(f486(x7933,x7934,x7935,x7931,x7936),f486(x7933,x7934,x7935,x7932,x7936))
% 202.92/202.79 [794]~E(x7941,x7942)+E(f486(x7943,x7944,x7945,x7946,x7941),f486(x7943,x7944,x7945,x7946,x7942))
% 202.92/202.79 [795]~E(x7951,x7952)+E(f901(x7951,x7953),f901(x7952,x7953))
% 202.92/202.79 [796]~E(x7961,x7962)+E(f901(x7963,x7961),f901(x7963,x7962))
% 202.92/202.79 [797]~E(x7971,x7972)+E(f615(x7971,x7973,x7974),f615(x7972,x7973,x7974))
% 202.92/202.79 [798]~E(x7981,x7982)+E(f615(x7983,x7981,x7984),f615(x7983,x7982,x7984))
% 202.92/202.79 [799]~E(x7991,x7992)+E(f615(x7993,x7994,x7991),f615(x7993,x7994,x7992))
% 202.92/202.79 [800]~E(x8001,x8002)+E(f470(x8001,x8003,x8004,x8005),f470(x8002,x8003,x8004,x8005))
% 202.92/202.79 [801]~E(x8011,x8012)+E(f470(x8013,x8011,x8014,x8015),f470(x8013,x8012,x8014,x8015))
% 202.92/202.79 [802]~E(x8021,x8022)+E(f470(x8023,x8024,x8021,x8025),f470(x8023,x8024,x8022,x8025))
% 202.92/202.79 [803]~E(x8031,x8032)+E(f470(x8033,x8034,x8035,x8031),f470(x8033,x8034,x8035,x8032))
% 202.92/202.79 [804]~E(x8041,x8042)+E(f281(x8041,x8043,x8044,x8045),f281(x8042,x8043,x8044,x8045))
% 202.92/202.79 [805]~E(x8051,x8052)+E(f281(x8053,x8051,x8054,x8055),f281(x8053,x8052,x8054,x8055))
% 202.92/202.79 [806]~E(x8061,x8062)+E(f281(x8063,x8064,x8061,x8065),f281(x8063,x8064,x8062,x8065))
% 202.92/202.79 [807]~E(x8071,x8072)+E(f281(x8073,x8074,x8075,x8071),f281(x8073,x8074,x8075,x8072))
% 202.92/202.79 [808]~E(x8081,x8082)+E(f375(x8081,x8083,x8084),f375(x8082,x8083,x8084))
% 202.92/202.79 [809]~E(x8091,x8092)+E(f375(x8093,x8091,x8094),f375(x8093,x8092,x8094))
% 202.92/202.79 [810]~E(x8101,x8102)+E(f375(x8103,x8104,x8101),f375(x8103,x8104,x8102))
% 202.92/202.79 [811]~E(x8111,x8112)+E(f418(x8111,x8113,x8114,x8115),f418(x8112,x8113,x8114,x8115))
% 202.92/202.79 [812]~E(x8121,x8122)+E(f418(x8123,x8121,x8124,x8125),f418(x8123,x8122,x8124,x8125))
% 202.92/202.79 [813]~E(x8131,x8132)+E(f418(x8133,x8134,x8131,x8135),f418(x8133,x8134,x8132,x8135))
% 202.92/202.79 [814]~E(x8141,x8142)+E(f418(x8143,x8144,x8145,x8141),f418(x8143,x8144,x8145,x8142))
% 202.92/202.79 [815]~E(x8151,x8152)+E(f685(x8151,x8153,x8154,x8155),f685(x8152,x8153,x8154,x8155))
% 202.92/202.79 [816]~E(x8161,x8162)+E(f685(x8163,x8161,x8164,x8165),f685(x8163,x8162,x8164,x8165))
% 202.92/202.79 [817]~E(x8171,x8172)+E(f685(x8173,x8174,x8171,x8175),f685(x8173,x8174,x8172,x8175))
% 202.92/202.79 [818]~E(x8181,x8182)+E(f685(x8183,x8184,x8185,x8181),f685(x8183,x8184,x8185,x8182))
% 202.92/202.79 [819]~E(x8191,x8192)+E(f340(x8191,x8193,x8194),f340(x8192,x8193,x8194))
% 202.92/202.79 [820]~E(x8201,x8202)+E(f340(x8203,x8201,x8204),f340(x8203,x8202,x8204))
% 202.92/202.79 [821]~E(x8211,x8212)+E(f340(x8213,x8214,x8211),f340(x8213,x8214,x8212))
% 202.92/202.79 [822]~E(x8221,x8222)+E(f246(x8221,x8223,x8224,x8225),f246(x8222,x8223,x8224,x8225))
% 202.92/202.79 [823]~E(x8231,x8232)+E(f246(x8233,x8231,x8234,x8235),f246(x8233,x8232,x8234,x8235))
% 202.92/202.79 [824]~E(x8241,x8242)+E(f246(x8243,x8244,x8241,x8245),f246(x8243,x8244,x8242,x8245))
% 202.92/202.79 [825]~E(x8251,x8252)+E(f246(x8253,x8254,x8255,x8251),f246(x8253,x8254,x8255,x8252))
% 202.92/202.79 [826]~E(x8261,x8262)+E(f761(x8261,x8263,x8264),f761(x8262,x8263,x8264))
% 202.92/202.79 [827]~E(x8271,x8272)+E(f761(x8273,x8271,x8274),f761(x8273,x8272,x8274))
% 202.92/202.79 [828]~E(x8281,x8282)+E(f761(x8283,x8284,x8281),f761(x8283,x8284,x8282))
% 202.92/202.79 [829]~E(x8291,x8292)+E(f507(x8291,x8293,x8294),f507(x8292,x8293,x8294))
% 202.92/202.79 [830]~E(x8301,x8302)+E(f507(x8303,x8301,x8304),f507(x8303,x8302,x8304))
% 202.92/202.79 [831]~E(x8311,x8312)+E(f507(x8313,x8314,x8311),f507(x8313,x8314,x8312))
% 202.92/202.79 [832]~E(x8321,x8322)+E(f356(x8321,x8323,x8324),f356(x8322,x8323,x8324))
% 202.92/202.79 [833]~E(x8331,x8332)+E(f356(x8333,x8331,x8334),f356(x8333,x8332,x8334))
% 202.92/202.79 [834]~E(x8341,x8342)+E(f356(x8343,x8344,x8341),f356(x8343,x8344,x8342))
% 202.92/202.79 [835]~E(x8351,x8352)+E(f438(x8351,x8353,x8354),f438(x8352,x8353,x8354))
% 202.92/202.79 [836]~E(x8361,x8362)+E(f438(x8363,x8361,x8364),f438(x8363,x8362,x8364))
% 202.92/202.79 [837]~E(x8371,x8372)+E(f438(x8373,x8374,x8371),f438(x8373,x8374,x8372))
% 202.92/202.79 [838]~E(x8381,x8382)+E(f485(x8381,x8383,x8384,x8385,x8386),f485(x8382,x8383,x8384,x8385,x8386))
% 202.92/202.79 [839]~E(x8391,x8392)+E(f485(x8393,x8391,x8394,x8395,x8396),f485(x8393,x8392,x8394,x8395,x8396))
% 202.92/202.79 [840]~E(x8401,x8402)+E(f485(x8403,x8404,x8401,x8405,x8406),f485(x8403,x8404,x8402,x8405,x8406))
% 202.92/202.79 [841]~E(x8411,x8412)+E(f485(x8413,x8414,x8415,x8411,x8416),f485(x8413,x8414,x8415,x8412,x8416))
% 202.92/202.79 [842]~E(x8421,x8422)+E(f485(x8423,x8424,x8425,x8426,x8421),f485(x8423,x8424,x8425,x8426,x8422))
% 202.92/202.79 [843]~E(x8431,x8432)+E(f141(x8431,x8433,x8434,x8435),f141(x8432,x8433,x8434,x8435))
% 202.92/202.79 [844]~E(x8441,x8442)+E(f141(x8443,x8441,x8444,x8445),f141(x8443,x8442,x8444,x8445))
% 202.92/202.79 [845]~E(x8451,x8452)+E(f141(x8453,x8454,x8451,x8455),f141(x8453,x8454,x8452,x8455))
% 202.92/202.79 [846]~E(x8461,x8462)+E(f141(x8463,x8464,x8465,x8461),f141(x8463,x8464,x8465,x8462))
% 202.92/202.79 [847]~E(x8471,x8472)+E(f62(x8471,x8473,x8474),f62(x8472,x8473,x8474))
% 202.92/202.79 [848]~E(x8481,x8482)+E(f62(x8483,x8481,x8484),f62(x8483,x8482,x8484))
% 202.92/202.79 [849]~E(x8491,x8492)+E(f62(x8493,x8494,x8491),f62(x8493,x8494,x8492))
% 202.92/202.79 [850]~E(x8501,x8502)+E(f628(x8501,x8503),f628(x8502,x8503))
% 202.92/202.79 [851]~E(x8511,x8512)+E(f628(x8513,x8511),f628(x8513,x8512))
% 202.92/202.79 [852]~E(x8521,x8522)+E(f693(x8521,x8523,x8524),f693(x8522,x8523,x8524))
% 202.92/202.79 [853]~E(x8531,x8532)+E(f693(x8533,x8531,x8534),f693(x8533,x8532,x8534))
% 202.92/202.79 [854]~E(x8541,x8542)+E(f693(x8543,x8544,x8541),f693(x8543,x8544,x8542))
% 202.92/202.79 [855]~E(x8551,x8552)+E(f457(x8551,x8553,x8554),f457(x8552,x8553,x8554))
% 202.92/202.79 [856]~E(x8561,x8562)+E(f457(x8563,x8561,x8564),f457(x8563,x8562,x8564))
% 202.92/202.79 [857]~E(x8571,x8572)+E(f457(x8573,x8574,x8571),f457(x8573,x8574,x8572))
% 202.92/202.79 [858]~E(x8581,x8582)+E(f665(x8581,x8583,x8584),f665(x8582,x8583,x8584))
% 202.92/202.79 [859]~E(x8591,x8592)+E(f665(x8593,x8591,x8594),f665(x8593,x8592,x8594))
% 202.92/202.79 [860]~E(x8601,x8602)+E(f665(x8603,x8604,x8601),f665(x8603,x8604,x8602))
% 202.92/202.79 [861]~E(x8611,x8612)+E(f729(x8611,x8613),f729(x8612,x8613))
% 202.92/202.79 [862]~E(x8621,x8622)+E(f729(x8623,x8621),f729(x8623,x8622))
% 202.92/202.79 [863]~E(x8631,x8632)+E(f498(x8631,x8633,x8634),f498(x8632,x8633,x8634))
% 202.92/202.79 [864]~E(x8641,x8642)+E(f498(x8643,x8641,x8644),f498(x8643,x8642,x8644))
% 202.92/202.79 [865]~E(x8651,x8652)+E(f498(x8653,x8654,x8651),f498(x8653,x8654,x8652))
% 202.92/202.79 [866]~E(x8661,x8662)+E(f663(x8661,x8663,x8664),f663(x8662,x8663,x8664))
% 202.92/202.79 [867]~E(x8671,x8672)+E(f663(x8673,x8671,x8674),f663(x8673,x8672,x8674))
% 202.92/202.79 [868]~E(x8681,x8682)+E(f663(x8683,x8684,x8681),f663(x8683,x8684,x8682))
% 202.92/202.79 [869]~E(x8691,x8692)+E(f153(x8691,x8693),f153(x8692,x8693))
% 202.92/202.79 [870]~E(x8701,x8702)+E(f153(x8703,x8701),f153(x8703,x8702))
% 202.92/202.79 [871]~E(x8711,x8712)+E(f672(x8711,x8713,x8714,x8715),f672(x8712,x8713,x8714,x8715))
% 202.92/202.79 [872]~E(x8721,x8722)+E(f672(x8723,x8721,x8724,x8725),f672(x8723,x8722,x8724,x8725))
% 202.92/202.79 [873]~E(x8731,x8732)+E(f672(x8733,x8734,x8731,x8735),f672(x8733,x8734,x8732,x8735))
% 202.92/202.79 [874]~E(x8741,x8742)+E(f672(x8743,x8744,x8745,x8741),f672(x8743,x8744,x8745,x8742))
% 202.92/202.79 [875]~E(x8751,x8752)+E(f728(x8751,x8753,x8754,x8755),f728(x8752,x8753,x8754,x8755))
% 202.92/202.79 [876]~E(x8761,x8762)+E(f728(x8763,x8761,x8764,x8765),f728(x8763,x8762,x8764,x8765))
% 202.92/202.79 [877]~E(x8771,x8772)+E(f728(x8773,x8774,x8771,x8775),f728(x8773,x8774,x8772,x8775))
% 202.92/202.79 [878]~E(x8781,x8782)+E(f728(x8783,x8784,x8785,x8781),f728(x8783,x8784,x8785,x8782))
% 202.92/202.79 [879]~E(x8791,x8792)+E(f188(x8791,x8793,x8794,x8795),f188(x8792,x8793,x8794,x8795))
% 202.92/202.79 [880]~E(x8801,x8802)+E(f188(x8803,x8801,x8804,x8805),f188(x8803,x8802,x8804,x8805))
% 202.92/202.79 [881]~E(x8811,x8812)+E(f188(x8813,x8814,x8811,x8815),f188(x8813,x8814,x8812,x8815))
% 202.92/202.79 [882]~E(x8821,x8822)+E(f188(x8823,x8824,x8825,x8821),f188(x8823,x8824,x8825,x8822))
% 202.92/202.79 [883]~E(x8831,x8832)+E(f666(x8831,x8833,x8834,x8835),f666(x8832,x8833,x8834,x8835))
% 202.92/202.79 [884]~E(x8841,x8842)+E(f666(x8843,x8841,x8844,x8845),f666(x8843,x8842,x8844,x8845))
% 202.92/202.79 [885]~E(x8851,x8852)+E(f666(x8853,x8854,x8851,x8855),f666(x8853,x8854,x8852,x8855))
% 202.92/202.79 [886]~E(x8861,x8862)+E(f666(x8863,x8864,x8865,x8861),f666(x8863,x8864,x8865,x8862))
% 202.92/202.79 [887]~E(x8871,x8872)+E(f262(x8871,x8873,x8874,x8875),f262(x8872,x8873,x8874,x8875))
% 202.92/202.79 [888]~E(x8881,x8882)+E(f262(x8883,x8881,x8884,x8885),f262(x8883,x8882,x8884,x8885))
% 202.92/202.79 [889]~E(x8891,x8892)+E(f262(x8893,x8894,x8891,x8895),f262(x8893,x8894,x8892,x8895))
% 202.92/202.79 [890]~E(x8901,x8902)+E(f262(x8903,x8904,x8905,x8901),f262(x8903,x8904,x8905,x8902))
% 202.92/202.79 [891]~E(x8911,x8912)+E(f183(x8911,x8913),f183(x8912,x8913))
% 202.92/202.79 [892]~E(x8921,x8922)+E(f183(x8923,x8921),f183(x8923,x8922))
% 202.92/202.79 [893]~E(x8931,x8932)+E(f161(x8931,x8933,x8934),f161(x8932,x8933,x8934))
% 202.92/202.79 [894]~E(x8941,x8942)+E(f161(x8943,x8941,x8944),f161(x8943,x8942,x8944))
% 202.92/202.79 [895]~E(x8951,x8952)+E(f161(x8953,x8954,x8951),f161(x8953,x8954,x8952))
% 202.92/202.79 [896]~E(x8961,x8962)+E(f112(x8961,x8963),f112(x8962,x8963))
% 202.92/202.79 [897]~E(x8971,x8972)+E(f112(x8973,x8971),f112(x8973,x8972))
% 202.92/202.79 [898]~E(x8981,x8982)+E(f681(x8981,x8983,x8984,x8985,x8986),f681(x8982,x8983,x8984,x8985,x8986))
% 202.92/202.79 [899]~E(x8991,x8992)+E(f681(x8993,x8991,x8994,x8995,x8996),f681(x8993,x8992,x8994,x8995,x8996))
% 202.92/202.79 [900]~E(x9001,x9002)+E(f681(x9003,x9004,x9001,x9005,x9006),f681(x9003,x9004,x9002,x9005,x9006))
% 202.92/202.79 [901]~E(x9011,x9012)+E(f681(x9013,x9014,x9015,x9011,x9016),f681(x9013,x9014,x9015,x9012,x9016))
% 202.92/202.79 [902]~E(x9021,x9022)+E(f681(x9023,x9024,x9025,x9026,x9021),f681(x9023,x9024,x9025,x9026,x9022))
% 202.92/202.79 [903]~E(x9031,x9032)+E(f675(x9031,x9033),f675(x9032,x9033))
% 202.92/202.79 [904]~E(x9041,x9042)+E(f675(x9043,x9041),f675(x9043,x9042))
% 202.92/202.79 [905]~E(x9051,x9052)+E(f211(x9051,x9053,x9054,x9055),f211(x9052,x9053,x9054,x9055))
% 202.92/202.79 [906]~E(x9061,x9062)+E(f211(x9063,x9061,x9064,x9065),f211(x9063,x9062,x9064,x9065))
% 202.92/202.79 [907]~E(x9071,x9072)+E(f211(x9073,x9074,x9071,x9075),f211(x9073,x9074,x9072,x9075))
% 202.92/202.79 [908]~E(x9081,x9082)+E(f211(x9083,x9084,x9085,x9081),f211(x9083,x9084,x9085,x9082))
% 202.92/202.79 [909]~E(x9091,x9092)+E(f614(x9091,x9093,x9094,x9095,x9096,x9097),f614(x9092,x9093,x9094,x9095,x9096,x9097))
% 202.92/202.79 [910]~E(x9101,x9102)+E(f614(x9103,x9101,x9104,x9105,x9106,x9107),f614(x9103,x9102,x9104,x9105,x9106,x9107))
% 202.92/202.79 [911]~E(x9111,x9112)+E(f614(x9113,x9114,x9111,x9115,x9116,x9117),f614(x9113,x9114,x9112,x9115,x9116,x9117))
% 202.92/202.79 [912]~E(x9121,x9122)+E(f614(x9123,x9124,x9125,x9121,x9126,x9127),f614(x9123,x9124,x9125,x9122,x9126,x9127))
% 202.92/202.79 [913]~E(x9131,x9132)+E(f614(x9133,x9134,x9135,x9136,x9131,x9137),f614(x9133,x9134,x9135,x9136,x9132,x9137))
% 202.92/202.79 [914]~E(x9141,x9142)+E(f614(x9143,x9144,x9145,x9146,x9147,x9141),f614(x9143,x9144,x9145,x9146,x9147,x9142))
% 202.92/202.79 [915]~E(x9151,x9152)+E(f513(x9151,x9153,x9154,x9155,x9156),f513(x9152,x9153,x9154,x9155,x9156))
% 202.92/202.79 [916]~E(x9161,x9162)+E(f513(x9163,x9161,x9164,x9165,x9166),f513(x9163,x9162,x9164,x9165,x9166))
% 202.92/202.79 [917]~E(x9171,x9172)+E(f513(x9173,x9174,x9171,x9175,x9176),f513(x9173,x9174,x9172,x9175,x9176))
% 202.92/202.79 [918]~E(x9181,x9182)+E(f513(x9183,x9184,x9185,x9181,x9186),f513(x9183,x9184,x9185,x9182,x9186))
% 202.92/202.79 [919]~E(x9191,x9192)+E(f513(x9193,x9194,x9195,x9196,x9191),f513(x9193,x9194,x9195,x9196,x9192))
% 202.92/202.79 [920]~E(x9201,x9202)+E(f840(x9201,x9203,x9204),f840(x9202,x9203,x9204))
% 202.92/202.79 [921]~E(x9211,x9212)+E(f840(x9213,x9211,x9214),f840(x9213,x9212,x9214))
% 202.92/202.79 [922]~E(x9221,x9222)+E(f840(x9223,x9224,x9221),f840(x9223,x9224,x9222))
% 202.92/202.79 [923]~E(x9231,x9232)+E(f631(x9231,x9233,x9234,x9235,x9236),f631(x9232,x9233,x9234,x9235,x9236))
% 202.92/202.79 [924]~E(x9241,x9242)+E(f631(x9243,x9241,x9244,x9245,x9246),f631(x9243,x9242,x9244,x9245,x9246))
% 202.92/202.79 [925]~E(x9251,x9252)+E(f631(x9253,x9254,x9251,x9255,x9256),f631(x9253,x9254,x9252,x9255,x9256))
% 202.92/202.79 [926]~E(x9261,x9262)+E(f631(x9263,x9264,x9265,x9261,x9266),f631(x9263,x9264,x9265,x9262,x9266))
% 202.92/202.79 [927]~E(x9271,x9272)+E(f631(x9273,x9274,x9275,x9276,x9271),f631(x9273,x9274,x9275,x9276,x9272))
% 202.92/202.79 [928]~E(x9281,x9282)+E(f900(x9281,x9283,x9284,x9285),f900(x9282,x9283,x9284,x9285))
% 202.92/202.79 [929]~E(x9291,x9292)+E(f900(x9293,x9291,x9294,x9295),f900(x9293,x9292,x9294,x9295))
% 202.92/202.79 [930]~E(x9301,x9302)+E(f900(x9303,x9304,x9301,x9305),f900(x9303,x9304,x9302,x9305))
% 202.92/202.79 [931]~E(x9311,x9312)+E(f900(x9313,x9314,x9315,x9311),f900(x9313,x9314,x9315,x9312))
% 202.92/202.79 [932]~E(x9321,x9322)+E(f451(x9321,x9323,x9324),f451(x9322,x9323,x9324))
% 202.92/202.79 [933]~E(x9331,x9332)+E(f451(x9333,x9331,x9334),f451(x9333,x9332,x9334))
% 202.92/202.79 [934]~E(x9341,x9342)+E(f451(x9343,x9344,x9341),f451(x9343,x9344,x9342))
% 202.92/202.79 [935]~E(x9351,x9352)+E(f591(x9351,x9353,x9354),f591(x9352,x9353,x9354))
% 202.92/202.79 [936]~E(x9361,x9362)+E(f591(x9363,x9361,x9364),f591(x9363,x9362,x9364))
% 202.92/202.79 [937]~E(x9371,x9372)+E(f591(x9373,x9374,x9371),f591(x9373,x9374,x9372))
% 202.92/202.79 [938]~E(x9381,x9382)+E(f462(x9381,x9383,x9384,x9385),f462(x9382,x9383,x9384,x9385))
% 202.92/202.79 [939]~E(x9391,x9392)+E(f462(x9393,x9391,x9394,x9395),f462(x9393,x9392,x9394,x9395))
% 202.92/202.79 [940]~E(x9401,x9402)+E(f462(x9403,x9404,x9401,x9405),f462(x9403,x9404,x9402,x9405))
% 202.92/202.79 [941]~E(x9411,x9412)+E(f462(x9413,x9414,x9415,x9411),f462(x9413,x9414,x9415,x9412))
% 202.92/202.79 [942]~E(x9421,x9422)+E(f307(x9421,x9423),f307(x9422,x9423))
% 202.92/202.79 [943]~E(x9431,x9432)+E(f307(x9433,x9431),f307(x9433,x9432))
% 202.92/202.79 [944]~E(x9441,x9442)+E(f347(x9441,x9443),f347(x9442,x9443))
% 202.92/202.79 [945]~E(x9451,x9452)+E(f347(x9453,x9451),f347(x9453,x9452))
% 202.92/202.79 [946]~E(x9461,x9462)+E(f799(x9461,x9463,x9464),f799(x9462,x9463,x9464))
% 202.92/202.79 [947]~E(x9471,x9472)+E(f799(x9473,x9471,x9474),f799(x9473,x9472,x9474))
% 202.92/202.79 [948]~E(x9481,x9482)+E(f799(x9483,x9484,x9481),f799(x9483,x9484,x9482))
% 202.92/202.79 [949]~E(x9491,x9492)+E(f848(x9491,x9493,x9494,x9495),f848(x9492,x9493,x9494,x9495))
% 202.92/202.79 [950]~E(x9501,x9502)+E(f848(x9503,x9501,x9504,x9505),f848(x9503,x9502,x9504,x9505))
% 202.92/202.79 [951]~E(x9511,x9512)+E(f848(x9513,x9514,x9511,x9515),f848(x9513,x9514,x9512,x9515))
% 202.92/202.79 [952]~E(x9521,x9522)+E(f848(x9523,x9524,x9525,x9521),f848(x9523,x9524,x9525,x9522))
% 202.92/202.79 [953]~E(x9531,x9532)+E(f263(x9531,x9533),f263(x9532,x9533))
% 202.92/202.79 [954]~E(x9541,x9542)+E(f263(x9543,x9541),f263(x9543,x9542))
% 202.92/202.79 [955]~E(x9551,x9552)+E(f879(x9551,x9553,x9554,x9555,x9556),f879(x9552,x9553,x9554,x9555,x9556))
% 202.92/202.79 [956]~E(x9561,x9562)+E(f879(x9563,x9561,x9564,x9565,x9566),f879(x9563,x9562,x9564,x9565,x9566))
% 202.92/202.79 [957]~E(x9571,x9572)+E(f879(x9573,x9574,x9571,x9575,x9576),f879(x9573,x9574,x9572,x9575,x9576))
% 202.92/202.79 [958]~E(x9581,x9582)+E(f879(x9583,x9584,x9585,x9581,x9586),f879(x9583,x9584,x9585,x9582,x9586))
% 202.92/202.79 [959]~E(x9591,x9592)+E(f879(x9593,x9594,x9595,x9596,x9591),f879(x9593,x9594,x9595,x9596,x9592))
% 202.92/202.79 [960]~E(x9601,x9602)+E(f870(x9601,x9603,x9604),f870(x9602,x9603,x9604))
% 202.92/202.79 [961]~E(x9611,x9612)+E(f870(x9613,x9611,x9614),f870(x9613,x9612,x9614))
% 202.92/202.79 [962]~E(x9621,x9622)+E(f870(x9623,x9624,x9621),f870(x9623,x9624,x9622))
% 202.92/202.79 [963]~E(x9631,x9632)+E(f524(x9631),f524(x9632))
% 202.92/202.79 [964]~E(x9641,x9642)+E(f914(x9641,x9643,x9644,x9645),f914(x9642,x9643,x9644,x9645))
% 202.92/202.79 [965]~E(x9651,x9652)+E(f914(x9653,x9651,x9654,x9655),f914(x9653,x9652,x9654,x9655))
% 202.92/202.79 [966]~E(x9661,x9662)+E(f914(x9663,x9664,x9661,x9665),f914(x9663,x9664,x9662,x9665))
% 202.92/202.79 [967]~E(x9671,x9672)+E(f914(x9673,x9674,x9675,x9671),f914(x9673,x9674,x9675,x9672))
% 202.92/202.79 [968]~E(x9681,x9682)+E(f240(x9681,x9683,x9684),f240(x9682,x9683,x9684))
% 202.92/202.79 [969]~E(x9691,x9692)+E(f240(x9693,x9691,x9694),f240(x9693,x9692,x9694))
% 202.92/202.79 [970]~E(x9701,x9702)+E(f240(x9703,x9704,x9701),f240(x9703,x9704,x9702))
% 202.92/202.79 [971]~E(x9711,x9712)+E(f883(x9711,x9713),f883(x9712,x9713))
% 202.92/202.79 [972]~E(x9721,x9722)+E(f883(x9723,x9721),f883(x9723,x9722))
% 202.92/202.79 [973]~E(x9731,x9732)+E(f707(x9731,x9733,x9734),f707(x9732,x9733,x9734))
% 202.92/202.79 [974]~E(x9741,x9742)+E(f707(x9743,x9741,x9744),f707(x9743,x9742,x9744))
% 202.92/202.79 [975]~E(x9751,x9752)+E(f707(x9753,x9754,x9751),f707(x9753,x9754,x9752))
% 202.92/202.79 [976]~E(x9761,x9762)+E(f853(x9761,x9763,x9764,x9765,x9766,x9767,x9768,x9769),f853(x9762,x9763,x9764,x9765,x9766,x9767,x9768,x9769))
% 202.92/202.79 [977]~E(x9771,x9772)+E(f853(x9773,x9771,x9774,x9775,x9776,x9777,x9778,x9779),f853(x9773,x9772,x9774,x9775,x9776,x9777,x9778,x9779))
% 202.92/202.79 [978]~E(x9781,x9782)+E(f853(x9783,x9784,x9781,x9785,x9786,x9787,x9788,x9789),f853(x9783,x9784,x9782,x9785,x9786,x9787,x9788,x9789))
% 202.92/202.79 [979]~E(x9791,x9792)+E(f853(x9793,x9794,x9795,x9791,x9796,x9797,x9798,x9799),f853(x9793,x9794,x9795,x9792,x9796,x9797,x9798,x9799))
% 202.92/202.79 [980]~E(x9801,x9802)+E(f853(x9803,x9804,x9805,x9806,x9801,x9807,x9808,x9809),f853(x9803,x9804,x9805,x9806,x9802,x9807,x9808,x9809))
% 202.92/202.79 [981]~E(x9811,x9812)+E(f853(x9813,x9814,x9815,x9816,x9817,x9811,x9818,x9819),f853(x9813,x9814,x9815,x9816,x9817,x9812,x9818,x9819))
% 202.92/202.79 [982]~E(x9821,x9822)+E(f853(x9823,x9824,x9825,x9826,x9827,x9828,x9821,x9829),f853(x9823,x9824,x9825,x9826,x9827,x9828,x9822,x9829))
% 202.92/202.79 [983]~E(x9831,x9832)+E(f853(x9833,x9834,x9835,x9836,x9837,x9838,x9839,x9831),f853(x9833,x9834,x9835,x9836,x9837,x9838,x9839,x9832))
% 202.92/202.79 [984]~E(x9841,x9842)+E(f244(x9841,x9843,x9844,x9845,x9846),f244(x9842,x9843,x9844,x9845,x9846))
% 202.92/202.79 [985]~E(x9851,x9852)+E(f244(x9853,x9851,x9854,x9855,x9856),f244(x9853,x9852,x9854,x9855,x9856))
% 202.92/202.79 [986]~E(x9861,x9862)+E(f244(x9863,x9864,x9861,x9865,x9866),f244(x9863,x9864,x9862,x9865,x9866))
% 202.92/202.79 [987]~E(x9871,x9872)+E(f244(x9873,x9874,x9875,x9871,x9876),f244(x9873,x9874,x9875,x9872,x9876))
% 202.92/202.79 [988]~E(x9881,x9882)+E(f244(x9883,x9884,x9885,x9886,x9881),f244(x9883,x9884,x9885,x9886,x9882))
% 202.92/202.79 [989]~E(x9891,x9892)+E(f754(x9891,x9893),f754(x9892,x9893))
% 202.92/202.79 [990]~E(x9901,x9902)+E(f754(x9903,x9901),f754(x9903,x9902))
% 202.92/202.79 [991]~E(x9911,x9912)+E(f813(x9911,x9913),f813(x9912,x9913))
% 202.92/202.79 [992]~E(x9921,x9922)+E(f813(x9923,x9921),f813(x9923,x9922))
% 202.92/202.79 [993]~E(x9931,x9932)+E(f237(x9931,x9933,x9934,x9935,x9936,x9937),f237(x9932,x9933,x9934,x9935,x9936,x9937))
% 202.92/202.79 [994]~E(x9941,x9942)+E(f237(x9943,x9941,x9944,x9945,x9946,x9947),f237(x9943,x9942,x9944,x9945,x9946,x9947))
% 202.92/202.79 [995]~E(x9951,x9952)+E(f237(x9953,x9954,x9951,x9955,x9956,x9957),f237(x9953,x9954,x9952,x9955,x9956,x9957))
% 202.92/202.79 [996]~E(x9961,x9962)+E(f237(x9963,x9964,x9965,x9961,x9966,x9967),f237(x9963,x9964,x9965,x9962,x9966,x9967))
% 202.92/202.79 [997]~E(x9971,x9972)+E(f237(x9973,x9974,x9975,x9976,x9971,x9977),f237(x9973,x9974,x9975,x9976,x9972,x9977))
% 202.92/202.79 [998]~E(x9981,x9982)+E(f237(x9983,x9984,x9985,x9986,x9987,x9981),f237(x9983,x9984,x9985,x9986,x9987,x9982))
% 202.92/202.79 [999]~E(x9991,x9992)+E(f227(x9991,x9993),f227(x9992,x9993))
% 202.92/202.79 [1000]~E(x10001,x10002)+E(f227(x10003,x10001),f227(x10003,x10002))
% 202.92/202.79 [1001]~E(x10011,x10012)+E(f199(x10011),f199(x10012))
% 202.92/202.79 [1002]~E(x10021,x10022)+E(f508(x10021,x10023,x10024),f508(x10022,x10023,x10024))
% 202.92/202.79 [1003]~E(x10031,x10032)+E(f508(x10033,x10031,x10034),f508(x10033,x10032,x10034))
% 202.92/202.79 [1004]~E(x10041,x10042)+E(f508(x10043,x10044,x10041),f508(x10043,x10044,x10042))
% 202.92/202.79 [1005]~E(x10051,x10052)+E(f238(x10051,x10053,x10054),f238(x10052,x10053,x10054))
% 202.92/202.79 [1006]~E(x10061,x10062)+E(f238(x10063,x10061,x10064),f238(x10063,x10062,x10064))
% 202.92/202.79 [1007]~E(x10071,x10072)+E(f238(x10073,x10074,x10071),f238(x10073,x10074,x10072))
% 202.92/202.79 [1008]~E(x10081,x10082)+E(f422(x10081,x10083,x10084,x10085,x10086),f422(x10082,x10083,x10084,x10085,x10086))
% 202.92/202.79 [1009]~E(x10091,x10092)+E(f422(x10093,x10091,x10094,x10095,x10096),f422(x10093,x10092,x10094,x10095,x10096))
% 202.92/202.79 [1010]~E(x10101,x10102)+E(f422(x10103,x10104,x10101,x10105,x10106),f422(x10103,x10104,x10102,x10105,x10106))
% 202.92/202.79 [1011]~E(x10111,x10112)+E(f422(x10113,x10114,x10115,x10111,x10116),f422(x10113,x10114,x10115,x10112,x10116))
% 202.92/202.79 [1012]~E(x10121,x10122)+E(f422(x10123,x10124,x10125,x10126,x10121),f422(x10123,x10124,x10125,x10126,x10122))
% 202.92/202.79 [1013]~E(x10131,x10132)+E(f56(x10131,x10133,x10134),f56(x10132,x10133,x10134))
% 202.92/202.79 [1014]~E(x10141,x10142)+E(f56(x10143,x10141,x10144),f56(x10143,x10142,x10144))
% 202.92/202.79 [1015]~E(x10151,x10152)+E(f56(x10153,x10154,x10151),f56(x10153,x10154,x10152))
% 202.92/202.79 [1016]~E(x10161,x10162)+E(f443(x10161,x10163,x10164,x10165,x10166,x10167,x10168),f443(x10162,x10163,x10164,x10165,x10166,x10167,x10168))
% 202.92/202.79 [1017]~E(x10171,x10172)+E(f443(x10173,x10171,x10174,x10175,x10176,x10177,x10178),f443(x10173,x10172,x10174,x10175,x10176,x10177,x10178))
% 202.92/202.79 [1018]~E(x10181,x10182)+E(f443(x10183,x10184,x10181,x10185,x10186,x10187,x10188),f443(x10183,x10184,x10182,x10185,x10186,x10187,x10188))
% 202.92/202.79 [1019]~E(x10191,x10192)+E(f443(x10193,x10194,x10195,x10191,x10196,x10197,x10198),f443(x10193,x10194,x10195,x10192,x10196,x10197,x10198))
% 202.92/202.79 [1020]~E(x10201,x10202)+E(f443(x10203,x10204,x10205,x10206,x10201,x10207,x10208),f443(x10203,x10204,x10205,x10206,x10202,x10207,x10208))
% 202.92/202.79 [1021]~E(x10211,x10212)+E(f443(x10213,x10214,x10215,x10216,x10217,x10211,x10218),f443(x10213,x10214,x10215,x10216,x10217,x10212,x10218))
% 202.92/202.79 [1022]~E(x10221,x10222)+E(f443(x10223,x10224,x10225,x10226,x10227,x10228,x10221),f443(x10223,x10224,x10225,x10226,x10227,x10228,x10222))
% 202.92/202.79 [1023]~E(x10231,x10232)+E(f409(x10231,x10233,x10234,x10235,x10236),f409(x10232,x10233,x10234,x10235,x10236))
% 202.92/202.79 [1024]~E(x10241,x10242)+E(f409(x10243,x10241,x10244,x10245,x10246),f409(x10243,x10242,x10244,x10245,x10246))
% 202.92/202.79 [1025]~E(x10251,x10252)+E(f409(x10253,x10254,x10251,x10255,x10256),f409(x10253,x10254,x10252,x10255,x10256))
% 202.92/202.79 [1026]~E(x10261,x10262)+E(f409(x10263,x10264,x10265,x10261,x10266),f409(x10263,x10264,x10265,x10262,x10266))
% 202.92/202.79 [1027]~E(x10271,x10272)+E(f409(x10273,x10274,x10275,x10276,x10271),f409(x10273,x10274,x10275,x10276,x10272))
% 202.92/202.79 [1028]~E(x10281,x10282)+E(f365(x10281,x10283,x10284,x10285),f365(x10282,x10283,x10284,x10285))
% 202.92/202.79 [1029]~E(x10291,x10292)+E(f365(x10293,x10291,x10294,x10295),f365(x10293,x10292,x10294,x10295))
% 202.92/202.79 [1030]~E(x10301,x10302)+E(f365(x10303,x10304,x10301,x10305),f365(x10303,x10304,x10302,x10305))
% 202.92/202.79 [1031]~E(x10311,x10312)+E(f365(x10313,x10314,x10315,x10311),f365(x10313,x10314,x10315,x10312))
% 202.92/202.79 [1032]~E(x10321,x10322)+E(f791(x10321,x10323),f791(x10322,x10323))
% 202.92/202.79 [1033]~E(x10331,x10332)+E(f791(x10333,x10331),f791(x10333,x10332))
% 202.92/202.79 [1034]~E(x10341,x10342)+E(f175(x10341,x10343,x10344),f175(x10342,x10343,x10344))
% 202.92/202.79 [1035]~E(x10351,x10352)+E(f175(x10353,x10351,x10354),f175(x10353,x10352,x10354))
% 202.92/202.79 [1036]~E(x10361,x10362)+E(f175(x10363,x10364,x10361),f175(x10363,x10364,x10362))
% 202.92/202.79 [1037]~E(x10371,x10372)+E(f810(x10371),f810(x10372))
% 202.92/202.79 [1038]~E(x10381,x10382)+E(f399(x10381,x10383,x10384),f399(x10382,x10383,x10384))
% 202.92/202.79 [1039]~E(x10391,x10392)+E(f399(x10393,x10391,x10394),f399(x10393,x10392,x10394))
% 202.92/202.79 [1040]~E(x10401,x10402)+E(f399(x10403,x10404,x10401),f399(x10403,x10404,x10402))
% 202.92/202.79 [1041]~E(x10411,x10412)+E(f138(x10411,x10413),f138(x10412,x10413))
% 202.92/202.79 [1042]~E(x10421,x10422)+E(f138(x10423,x10421),f138(x10423,x10422))
% 202.92/202.79 [1043]~E(x10431,x10432)+E(f749(x10431,x10433,x10434,x10435,x10436),f749(x10432,x10433,x10434,x10435,x10436))
% 202.92/202.79 [1044]~E(x10441,x10442)+E(f749(x10443,x10441,x10444,x10445,x10446),f749(x10443,x10442,x10444,x10445,x10446))
% 202.92/202.79 [1045]~E(x10451,x10452)+E(f749(x10453,x10454,x10451,x10455,x10456),f749(x10453,x10454,x10452,x10455,x10456))
% 202.92/202.79 [1046]~E(x10461,x10462)+E(f749(x10463,x10464,x10465,x10461,x10466),f749(x10463,x10464,x10465,x10462,x10466))
% 202.92/202.79 [1047]~E(x10471,x10472)+E(f749(x10473,x10474,x10475,x10476,x10471),f749(x10473,x10474,x10475,x10476,x10472))
% 202.92/202.79 [1048]~E(x10481,x10482)+E(f117(x10481,x10483,x10484),f117(x10482,x10483,x10484))
% 202.92/202.79 [1049]~E(x10491,x10492)+E(f117(x10493,x10491,x10494),f117(x10493,x10492,x10494))
% 202.92/202.79 [1050]~E(x10501,x10502)+E(f117(x10503,x10504,x10501),f117(x10503,x10504,x10502))
% 202.92/202.79 [1051]~E(x10511,x10512)+E(f825(x10511,x10513,x10514),f825(x10512,x10513,x10514))
% 202.92/202.79 [1052]~E(x10521,x10522)+E(f825(x10523,x10521,x10524),f825(x10523,x10522,x10524))
% 202.92/202.79 [1053]~E(x10531,x10532)+E(f825(x10533,x10534,x10531),f825(x10533,x10534,x10532))
% 202.92/202.79 [1054]~E(x10541,x10542)+E(f453(x10541,x10543),f453(x10542,x10543))
% 202.92/202.79 [1055]~E(x10551,x10552)+E(f453(x10553,x10551),f453(x10553,x10552))
% 202.92/202.79 [1056]~E(x10561,x10562)+E(f700(x10561,x10563,x10564),f700(x10562,x10563,x10564))
% 202.92/202.79 [1057]~E(x10571,x10572)+E(f700(x10573,x10571,x10574),f700(x10573,x10572,x10574))
% 202.92/202.79 [1058]~E(x10581,x10582)+E(f700(x10583,x10584,x10581),f700(x10583,x10584,x10582))
% 202.92/202.79 [1059]~E(x10591,x10592)+E(f817(x10591,x10593,x10594,x10595,x10596,x10597),f817(x10592,x10593,x10594,x10595,x10596,x10597))
% 202.92/202.79 [1060]~E(x10601,x10602)+E(f817(x10603,x10601,x10604,x10605,x10606,x10607),f817(x10603,x10602,x10604,x10605,x10606,x10607))
% 202.92/202.79 [1061]~E(x10611,x10612)+E(f817(x10613,x10614,x10611,x10615,x10616,x10617),f817(x10613,x10614,x10612,x10615,x10616,x10617))
% 202.92/202.79 [1062]~E(x10621,x10622)+E(f817(x10623,x10624,x10625,x10621,x10626,x10627),f817(x10623,x10624,x10625,x10622,x10626,x10627))
% 202.92/202.79 [1063]~E(x10631,x10632)+E(f817(x10633,x10634,x10635,x10636,x10631,x10637),f817(x10633,x10634,x10635,x10636,x10632,x10637))
% 202.92/202.79 [1064]~E(x10641,x10642)+E(f817(x10643,x10644,x10645,x10646,x10647,x10641),f817(x10643,x10644,x10645,x10646,x10647,x10642))
% 202.92/202.79 [1065]~E(x10651,x10652)+E(f109(x10651,x10653,x10654),f109(x10652,x10653,x10654))
% 202.92/202.79 [1066]~E(x10661,x10662)+E(f109(x10663,x10661,x10664),f109(x10663,x10662,x10664))
% 202.92/202.79 [1067]~E(x10671,x10672)+E(f109(x10673,x10674,x10671),f109(x10673,x10674,x10672))
% 202.92/202.79 [1068]~E(x10681,x10682)+E(f830(x10681,x10683,x10684,x10685),f830(x10682,x10683,x10684,x10685))
% 202.92/202.79 [1069]~E(x10691,x10692)+E(f830(x10693,x10691,x10694,x10695),f830(x10693,x10692,x10694,x10695))
% 202.92/202.79 [1070]~E(x10701,x10702)+E(f830(x10703,x10704,x10701,x10705),f830(x10703,x10704,x10702,x10705))
% 202.92/202.79 [1071]~E(x10711,x10712)+E(f830(x10713,x10714,x10715,x10711),f830(x10713,x10714,x10715,x10712))
% 202.92/202.79 [1072]~E(x10721,x10722)+E(f604(x10721,x10723,x10724),f604(x10722,x10723,x10724))
% 202.92/202.79 [1073]~E(x10731,x10732)+E(f604(x10733,x10731,x10734),f604(x10733,x10732,x10734))
% 202.92/202.79 [1074]~E(x10741,x10742)+E(f604(x10743,x10744,x10741),f604(x10743,x10744,x10742))
% 202.92/202.79 [1075]~E(x10751,x10752)+E(f527(x10751),f527(x10752))
% 202.92/202.79 [1076]~E(x10761,x10762)+E(f47(x10761,x10763),f47(x10762,x10763))
% 202.92/202.79 [1077]~E(x10771,x10772)+E(f47(x10773,x10771),f47(x10773,x10772))
% 202.92/202.79 [1078]~E(x10781,x10782)+E(f804(x10781),f804(x10782))
% 202.92/202.79 [1079]~E(x10791,x10792)+E(f701(x10791,x10793,x10794),f701(x10792,x10793,x10794))
% 202.92/202.79 [1080]~E(x10801,x10802)+E(f701(x10803,x10801,x10804),f701(x10803,x10802,x10804))
% 202.92/202.79 [1081]~E(x10811,x10812)+E(f701(x10813,x10814,x10811),f701(x10813,x10814,x10812))
% 202.92/202.79 [1082]~E(x10821,x10822)+E(f843(x10821,x10823,x10824,x10825,x10826),f843(x10822,x10823,x10824,x10825,x10826))
% 202.92/202.79 [1083]~E(x10831,x10832)+E(f843(x10833,x10831,x10834,x10835,x10836),f843(x10833,x10832,x10834,x10835,x10836))
% 202.92/202.79 [1084]~E(x10841,x10842)+E(f843(x10843,x10844,x10841,x10845,x10846),f843(x10843,x10844,x10842,x10845,x10846))
% 202.92/202.79 [1085]~E(x10851,x10852)+E(f843(x10853,x10854,x10855,x10851,x10856),f843(x10853,x10854,x10855,x10852,x10856))
% 202.92/202.79 [1086]~E(x10861,x10862)+E(f843(x10863,x10864,x10865,x10866,x10861),f843(x10863,x10864,x10865,x10866,x10862))
% 202.92/202.79 [1087]~E(x10871,x10872)+E(f187(x10871,x10873,x10874,x10875),f187(x10872,x10873,x10874,x10875))
% 202.92/202.79 [1088]~E(x10881,x10882)+E(f187(x10883,x10881,x10884,x10885),f187(x10883,x10882,x10884,x10885))
% 202.92/202.79 [1089]~E(x10891,x10892)+E(f187(x10893,x10894,x10891,x10895),f187(x10893,x10894,x10892,x10895))
% 202.92/202.79 [1090]~E(x10901,x10902)+E(f187(x10903,x10904,x10905,x10901),f187(x10903,x10904,x10905,x10902))
% 202.92/202.79 [1091]~E(x10911,x10912)+E(f802(x10911,x10913,x10914,x10915),f802(x10912,x10913,x10914,x10915))
% 202.92/202.79 [1092]~E(x10921,x10922)+E(f802(x10923,x10921,x10924,x10925),f802(x10923,x10922,x10924,x10925))
% 202.92/202.79 [1093]~E(x10931,x10932)+E(f802(x10933,x10934,x10931,x10935),f802(x10933,x10934,x10932,x10935))
% 202.92/202.79 [1094]~E(x10941,x10942)+E(f802(x10943,x10944,x10945,x10941),f802(x10943,x10944,x10945,x10942))
% 202.92/202.79 [1095]~E(x10951,x10952)+E(f543(x10951,x10953,x10954,x10955,x10956),f543(x10952,x10953,x10954,x10955,x10956))
% 202.92/202.79 [1096]~E(x10961,x10962)+E(f543(x10963,x10961,x10964,x10965,x10966),f543(x10963,x10962,x10964,x10965,x10966))
% 202.92/202.79 [1097]~E(x10971,x10972)+E(f543(x10973,x10974,x10971,x10975,x10976),f543(x10973,x10974,x10972,x10975,x10976))
% 202.92/202.79 [1098]~E(x10981,x10982)+E(f543(x10983,x10984,x10985,x10981,x10986),f543(x10983,x10984,x10985,x10982,x10986))
% 202.92/202.79 [1099]~E(x10991,x10992)+E(f543(x10993,x10994,x10995,x10996,x10991),f543(x10993,x10994,x10995,x10996,x10992))
% 202.92/202.79 [1100]~E(x11001,x11002)+E(f477(x11001,x11003,x11004,x11005,x11006),f477(x11002,x11003,x11004,x11005,x11006))
% 202.92/202.79 [1101]~E(x11011,x11012)+E(f477(x11013,x11011,x11014,x11015,x11016),f477(x11013,x11012,x11014,x11015,x11016))
% 202.92/202.79 [1102]~E(x11021,x11022)+E(f477(x11023,x11024,x11021,x11025,x11026),f477(x11023,x11024,x11022,x11025,x11026))
% 202.92/202.79 [1103]~E(x11031,x11032)+E(f477(x11033,x11034,x11035,x11031,x11036),f477(x11033,x11034,x11035,x11032,x11036))
% 202.92/202.79 [1104]~E(x11041,x11042)+E(f477(x11043,x11044,x11045,x11046,x11041),f477(x11043,x11044,x11045,x11046,x11042))
% 202.92/202.79 [1105]~E(x11051,x11052)+E(f389(x11051,x11053,x11054,x11055),f389(x11052,x11053,x11054,x11055))
% 202.92/202.79 [1106]~E(x11061,x11062)+E(f389(x11063,x11061,x11064,x11065),f389(x11063,x11062,x11064,x11065))
% 202.92/202.79 [1107]~E(x11071,x11072)+E(f389(x11073,x11074,x11071,x11075),f389(x11073,x11074,x11072,x11075))
% 202.92/202.79 [1108]~E(x11081,x11082)+E(f389(x11083,x11084,x11085,x11081),f389(x11083,x11084,x11085,x11082))
% 202.92/202.79 [1109]~E(x11091,x11092)+E(f351(x11091,x11093,x11094),f351(x11092,x11093,x11094))
% 202.92/202.79 [1110]~E(x11101,x11102)+E(f351(x11103,x11101,x11104),f351(x11103,x11102,x11104))
% 202.92/202.79 [1111]~E(x11111,x11112)+E(f351(x11113,x11114,x11111),f351(x11113,x11114,x11112))
% 202.92/202.79 [1112]~E(x11121,x11122)+E(f594(x11121,x11123,x11124,x11125,x11126,x11127),f594(x11122,x11123,x11124,x11125,x11126,x11127))
% 202.92/202.79 [1113]~E(x11131,x11132)+E(f594(x11133,x11131,x11134,x11135,x11136,x11137),f594(x11133,x11132,x11134,x11135,x11136,x11137))
% 202.92/202.79 [1114]~E(x11141,x11142)+E(f594(x11143,x11144,x11141,x11145,x11146,x11147),f594(x11143,x11144,x11142,x11145,x11146,x11147))
% 202.92/202.79 [1115]~E(x11151,x11152)+E(f594(x11153,x11154,x11155,x11151,x11156,x11157),f594(x11153,x11154,x11155,x11152,x11156,x11157))
% 202.92/202.79 [1116]~E(x11161,x11162)+E(f594(x11163,x11164,x11165,x11166,x11161,x11167),f594(x11163,x11164,x11165,x11166,x11162,x11167))
% 202.92/202.79 [1117]~E(x11171,x11172)+E(f594(x11173,x11174,x11175,x11176,x11177,x11171),f594(x11173,x11174,x11175,x11176,x11177,x11172))
% 202.92/202.79 [1118]~E(x11181,x11182)+E(f119(x11181,x11183),f119(x11182,x11183))
% 202.92/202.79 [1119]~E(x11191,x11192)+E(f119(x11193,x11191),f119(x11193,x11192))
% 202.92/202.79 [1120]~E(x11201,x11202)+E(f123(x11201,x11203),f123(x11202,x11203))
% 202.92/202.79 [1121]~E(x11211,x11212)+E(f123(x11213,x11211),f123(x11213,x11212))
% 202.92/202.79 [1122]~E(x11221,x11222)+E(f619(x11221,x11223,x11224),f619(x11222,x11223,x11224))
% 202.92/202.79 [1123]~E(x11231,x11232)+E(f619(x11233,x11231,x11234),f619(x11233,x11232,x11234))
% 202.92/202.79 [1124]~E(x11241,x11242)+E(f619(x11243,x11244,x11241),f619(x11243,x11244,x11242))
% 202.92/202.79 [1125]~E(x11251,x11252)+E(f404(x11251,x11253,x11254),f404(x11252,x11253,x11254))
% 202.92/202.79 [1126]~E(x11261,x11262)+E(f404(x11263,x11261,x11264),f404(x11263,x11262,x11264))
% 202.92/202.79 [1127]~E(x11271,x11272)+E(f404(x11273,x11274,x11271),f404(x11273,x11274,x11272))
% 202.92/202.79 [1128]~E(x11281,x11282)+E(f259(x11281,x11283),f259(x11282,x11283))
% 202.92/202.79 [1129]~E(x11291,x11292)+E(f259(x11293,x11291),f259(x11293,x11292))
% 202.92/202.79 [1130]~E(x11301,x11302)+E(f716(x11301,x11303,x11304),f716(x11302,x11303,x11304))
% 202.92/202.79 [1131]~E(x11311,x11312)+E(f716(x11313,x11311,x11314),f716(x11313,x11312,x11314))
% 202.92/202.79 [1132]~E(x11321,x11322)+E(f716(x11323,x11324,x11321),f716(x11323,x11324,x11322))
% 202.92/202.79 [1133]~E(x11331,x11332)+E(f493(x11331,x11333,x11334),f493(x11332,x11333,x11334))
% 202.92/202.79 [1134]~E(x11341,x11342)+E(f493(x11343,x11341,x11344),f493(x11343,x11342,x11344))
% 202.92/202.79 [1135]~E(x11351,x11352)+E(f493(x11353,x11354,x11351),f493(x11353,x11354,x11352))
% 202.92/202.79 [1136]~E(x11361,x11362)+E(f134(x11361,x11363),f134(x11362,x11363))
% 202.92/202.79 [1137]~E(x11371,x11372)+E(f134(x11373,x11371),f134(x11373,x11372))
% 202.92/202.79 [1138]~E(x11381,x11382)+E(f397(x11381,x11383),f397(x11382,x11383))
% 202.92/202.79 [1139]~E(x11391,x11392)+E(f397(x11393,x11391),f397(x11393,x11392))
% 202.92/202.79 [1140]~E(x11401,x11402)+E(f146(x11401,x11403,x11404),f146(x11402,x11403,x11404))
% 202.92/202.79 [1141]~E(x11411,x11412)+E(f146(x11413,x11411,x11414),f146(x11413,x11412,x11414))
% 202.92/202.79 [1142]~E(x11421,x11422)+E(f146(x11423,x11424,x11421),f146(x11423,x11424,x11422))
% 202.92/202.79 [1143]~E(x11431,x11432)+E(f284(x11431,x11433),f284(x11432,x11433))
% 202.92/202.79 [1144]~E(x11441,x11442)+E(f284(x11443,x11441),f284(x11443,x11442))
% 202.92/202.79 [1145]~E(x11451,x11452)+E(f423(x11451,x11453,x11454,x11455,x11456),f423(x11452,x11453,x11454,x11455,x11456))
% 202.92/202.79 [1146]~E(x11461,x11462)+E(f423(x11463,x11461,x11464,x11465,x11466),f423(x11463,x11462,x11464,x11465,x11466))
% 202.92/202.79 [1147]~E(x11471,x11472)+E(f423(x11473,x11474,x11471,x11475,x11476),f423(x11473,x11474,x11472,x11475,x11476))
% 202.92/202.79 [1148]~E(x11481,x11482)+E(f423(x11483,x11484,x11485,x11481,x11486),f423(x11483,x11484,x11485,x11482,x11486))
% 202.92/202.79 [1149]~E(x11491,x11492)+E(f423(x11493,x11494,x11495,x11496,x11491),f423(x11493,x11494,x11495,x11496,x11492))
% 202.92/202.79 [1150]~E(x11501,x11502)+E(f769(x11501,x11503,x11504),f769(x11502,x11503,x11504))
% 202.92/202.79 [1151]~E(x11511,x11512)+E(f769(x11513,x11511,x11514),f769(x11513,x11512,x11514))
% 202.92/202.79 [1152]~E(x11521,x11522)+E(f769(x11523,x11524,x11521),f769(x11523,x11524,x11522))
% 202.92/202.79 [1153]~E(x11531,x11532)+E(f783(x11531,x11533,x11534,x11535),f783(x11532,x11533,x11534,x11535))
% 202.92/202.79 [1154]~E(x11541,x11542)+E(f783(x11543,x11541,x11544,x11545),f783(x11543,x11542,x11544,x11545))
% 202.92/202.79 [1155]~E(x11551,x11552)+E(f783(x11553,x11554,x11551,x11555),f783(x11553,x11554,x11552,x11555))
% 202.92/202.79 [1156]~E(x11561,x11562)+E(f783(x11563,x11564,x11565,x11561),f783(x11563,x11564,x11565,x11562))
% 202.92/202.79 [1157]~E(x11571,x11572)+E(f190(x11571,x11573),f190(x11572,x11573))
% 202.92/202.79 [1158]~E(x11581,x11582)+E(f190(x11583,x11581),f190(x11583,x11582))
% 202.92/202.79 [1159]~E(x11591,x11592)+E(f260(x11591,x11593),f260(x11592,x11593))
% 202.92/202.79 [1160]~E(x11601,x11602)+E(f260(x11603,x11601),f260(x11603,x11602))
% 202.92/202.79 [1161]~E(x11611,x11612)+E(f676(x11611),f676(x11612))
% 202.92/202.79 [1162]~E(x11621,x11622)+E(f622(x11621,x11623,x11624),f622(x11622,x11623,x11624))
% 202.92/202.79 [1163]~E(x11631,x11632)+E(f622(x11633,x11631,x11634),f622(x11633,x11632,x11634))
% 202.92/202.79 [1164]~E(x11641,x11642)+E(f622(x11643,x11644,x11641),f622(x11643,x11644,x11642))
% 202.92/202.79 [1165]~E(x11651,x11652)+E(f854(x11651,x11653,x11654,x11655,x11656,x11657,x11658,x11659),f854(x11652,x11653,x11654,x11655,x11656,x11657,x11658,x11659))
% 202.92/202.79 [1166]~E(x11661,x11662)+E(f854(x11663,x11661,x11664,x11665,x11666,x11667,x11668,x11669),f854(x11663,x11662,x11664,x11665,x11666,x11667,x11668,x11669))
% 202.92/202.79 [1167]~E(x11671,x11672)+E(f854(x11673,x11674,x11671,x11675,x11676,x11677,x11678,x11679),f854(x11673,x11674,x11672,x11675,x11676,x11677,x11678,x11679))
% 202.92/202.79 [1168]~E(x11681,x11682)+E(f854(x11683,x11684,x11685,x11681,x11686,x11687,x11688,x11689),f854(x11683,x11684,x11685,x11682,x11686,x11687,x11688,x11689))
% 202.92/202.79 [1169]~E(x11691,x11692)+E(f854(x11693,x11694,x11695,x11696,x11691,x11697,x11698,x11699),f854(x11693,x11694,x11695,x11696,x11692,x11697,x11698,x11699))
% 202.92/202.79 [1170]~E(x11701,x11702)+E(f854(x11703,x11704,x11705,x11706,x11707,x11701,x11708,x11709),f854(x11703,x11704,x11705,x11706,x11707,x11702,x11708,x11709))
% 202.92/202.79 [1171]~E(x11711,x11712)+E(f854(x11713,x11714,x11715,x11716,x11717,x11718,x11711,x11719),f854(x11713,x11714,x11715,x11716,x11717,x11718,x11712,x11719))
% 202.92/202.79 [1172]~E(x11721,x11722)+E(f854(x11723,x11724,x11725,x11726,x11727,x11728,x11729,x11721),f854(x11723,x11724,x11725,x11726,x11727,x11728,x11729,x11722))
% 202.92/202.79 [1173]~E(x11731,x11732)+E(f725(x11731,x11733),f725(x11732,x11733))
% 202.92/202.79 [1174]~E(x11741,x11742)+E(f725(x11743,x11741),f725(x11743,x11742))
% 202.92/202.79 [1175]~E(x11751,x11752)+E(f325(x11751),f325(x11752))
% 202.92/202.79 [1176]~E(x11761,x11762)+E(f264(x11761,x11763,x11764,x11765),f264(x11762,x11763,x11764,x11765))
% 202.92/202.79 [1177]~E(x11771,x11772)+E(f264(x11773,x11771,x11774,x11775),f264(x11773,x11772,x11774,x11775))
% 202.92/202.79 [1178]~E(x11781,x11782)+E(f264(x11783,x11784,x11781,x11785),f264(x11783,x11784,x11782,x11785))
% 202.92/202.79 [1179]~E(x11791,x11792)+E(f264(x11793,x11794,x11795,x11791),f264(x11793,x11794,x11795,x11792))
% 202.92/202.79 [1180]~E(x11801,x11802)+E(f107(x11801,x11803,x11804),f107(x11802,x11803,x11804))
% 202.92/202.79 [1181]~E(x11811,x11812)+E(f107(x11813,x11811,x11814),f107(x11813,x11812,x11814))
% 202.92/202.79 [1182]~E(x11821,x11822)+E(f107(x11823,x11824,x11821),f107(x11823,x11824,x11822))
% 202.92/202.79 [1183]~E(x11831,x11832)+E(f236(x11831,x11833,x11834),f236(x11832,x11833,x11834))
% 202.92/202.79 [1184]~E(x11841,x11842)+E(f236(x11843,x11841,x11844),f236(x11843,x11842,x11844))
% 202.92/202.79 [1185]~E(x11851,x11852)+E(f236(x11853,x11854,x11851),f236(x11853,x11854,x11852))
% 202.92/202.79 [1186]~E(x11861,x11862)+E(f406(x11861,x11863,x11864,x11865),f406(x11862,x11863,x11864,x11865))
% 202.92/202.79 [1187]~E(x11871,x11872)+E(f406(x11873,x11871,x11874,x11875),f406(x11873,x11872,x11874,x11875))
% 202.92/202.79 [1188]~E(x11881,x11882)+E(f406(x11883,x11884,x11881,x11885),f406(x11883,x11884,x11882,x11885))
% 202.92/202.79 [1189]~E(x11891,x11892)+E(f406(x11893,x11894,x11895,x11891),f406(x11893,x11894,x11895,x11892))
% 202.92/202.79 [1190]~E(x11901,x11902)+E(f206(x11901,x11903),f206(x11902,x11903))
% 202.92/202.79 [1191]~E(x11911,x11912)+E(f206(x11913,x11911),f206(x11913,x11912))
% 202.92/202.79 [1192]~E(x11921,x11922)+E(f542(x11921,x11923,x11924),f542(x11922,x11923,x11924))
% 202.92/202.79 [1193]~E(x11931,x11932)+E(f542(x11933,x11931,x11934),f542(x11933,x11932,x11934))
% 202.92/202.79 [1194]~E(x11941,x11942)+E(f542(x11943,x11944,x11941),f542(x11943,x11944,x11942))
% 202.92/202.79 [1195]~E(x11951,x11952)+E(f191(x11951),f191(x11952))
% 202.92/202.79 [1196]~E(x11961,x11962)+E(f806(x11961,x11963),f806(x11962,x11963))
% 202.92/202.79 [1197]~E(x11971,x11972)+E(f806(x11973,x11971),f806(x11973,x11972))
% 202.92/202.79 [1198]~E(x11981,x11982)+E(f855(x11981,x11983,x11984,x11985,x11986,x11987,x11988,x11989),f855(x11982,x11983,x11984,x11985,x11986,x11987,x11988,x11989))
% 202.92/202.79 [1199]~E(x11991,x11992)+E(f855(x11993,x11991,x11994,x11995,x11996,x11997,x11998,x11999),f855(x11993,x11992,x11994,x11995,x11996,x11997,x11998,x11999))
% 202.92/202.79 [1200]~E(x12001,x12002)+E(f855(x12003,x12004,x12001,x12005,x12006,x12007,x12008,x12009),f855(x12003,x12004,x12002,x12005,x12006,x12007,x12008,x12009))
% 202.92/202.79 [1201]~E(x12011,x12012)+E(f855(x12013,x12014,x12015,x12011,x12016,x12017,x12018,x12019),f855(x12013,x12014,x12015,x12012,x12016,x12017,x12018,x12019))
% 202.92/202.79 [1202]~E(x12021,x12022)+E(f855(x12023,x12024,x12025,x12026,x12021,x12027,x12028,x12029),f855(x12023,x12024,x12025,x12026,x12022,x12027,x12028,x12029))
% 202.92/202.79 [1203]~E(x12031,x12032)+E(f855(x12033,x12034,x12035,x12036,x12037,x12031,x12038,x12039),f855(x12033,x12034,x12035,x12036,x12037,x12032,x12038,x12039))
% 202.92/202.79 [1204]~E(x12041,x12042)+E(f855(x12043,x12044,x12045,x12046,x12047,x12048,x12041,x12049),f855(x12043,x12044,x12045,x12046,x12047,x12048,x12042,x12049))
% 202.92/202.79 [1205]~E(x12051,x12052)+E(f855(x12053,x12054,x12055,x12056,x12057,x12058,x12059,x12051),f855(x12053,x12054,x12055,x12056,x12057,x12058,x12059,x12052))
% 202.92/202.79 [1206]~E(x12061,x12062)+E(f164(x12061,x12063,x12064),f164(x12062,x12063,x12064))
% 202.92/202.79 [1207]~E(x12071,x12072)+E(f164(x12073,x12071,x12074),f164(x12073,x12072,x12074))
% 202.92/202.79 [1208]~E(x12081,x12082)+E(f164(x12083,x12084,x12081),f164(x12083,x12084,x12082))
% 202.92/202.79 [1209]~E(x12091,x12092)+E(f610(x12091,x12093,x12094,x12095,x12096),f610(x12092,x12093,x12094,x12095,x12096))
% 202.92/202.79 [1210]~E(x12101,x12102)+E(f610(x12103,x12101,x12104,x12105,x12106),f610(x12103,x12102,x12104,x12105,x12106))
% 202.92/202.79 [1211]~E(x12111,x12112)+E(f610(x12113,x12114,x12111,x12115,x12116),f610(x12113,x12114,x12112,x12115,x12116))
% 202.92/202.79 [1212]~E(x12121,x12122)+E(f610(x12123,x12124,x12125,x12121,x12126),f610(x12123,x12124,x12125,x12122,x12126))
% 202.92/202.79 [1213]~E(x12131,x12132)+E(f610(x12133,x12134,x12135,x12136,x12131),f610(x12133,x12134,x12135,x12136,x12132))
% 202.92/202.79 [1214]~E(x12141,x12142)+E(f378(x12141,x12143,x12144),f378(x12142,x12143,x12144))
% 202.92/202.79 [1215]~E(x12151,x12152)+E(f378(x12153,x12151,x12154),f378(x12153,x12152,x12154))
% 202.92/202.79 [1216]~E(x12161,x12162)+E(f378(x12163,x12164,x12161),f378(x12163,x12164,x12162))
% 202.92/202.79 [1217]~E(x12171,x12172)+E(f419(x12171,x12173,x12174,x12175),f419(x12172,x12173,x12174,x12175))
% 202.92/202.79 [1218]~E(x12181,x12182)+E(f419(x12183,x12181,x12184,x12185),f419(x12183,x12182,x12184,x12185))
% 202.92/202.79 [1219]~E(x12191,x12192)+E(f419(x12193,x12194,x12191,x12195),f419(x12193,x12194,x12192,x12195))
% 202.92/202.79 [1220]~E(x12201,x12202)+E(f419(x12203,x12204,x12205,x12201),f419(x12203,x12204,x12205,x12202))
% 202.92/202.79 [1221]~E(x12211,x12212)+E(f845(x12211,x12213,x12214,x12215,x12216,x12217,x12218,x12219),f845(x12212,x12213,x12214,x12215,x12216,x12217,x12218,x12219))
% 202.92/202.79 [1222]~E(x12221,x12222)+E(f845(x12223,x12221,x12224,x12225,x12226,x12227,x12228,x12229),f845(x12223,x12222,x12224,x12225,x12226,x12227,x12228,x12229))
% 202.92/202.79 [1223]~E(x12231,x12232)+E(f845(x12233,x12234,x12231,x12235,x12236,x12237,x12238,x12239),f845(x12233,x12234,x12232,x12235,x12236,x12237,x12238,x12239))
% 202.92/202.79 [1224]~E(x12241,x12242)+E(f845(x12243,x12244,x12245,x12241,x12246,x12247,x12248,x12249),f845(x12243,x12244,x12245,x12242,x12246,x12247,x12248,x12249))
% 202.92/202.79 [1225]~E(x12251,x12252)+E(f845(x12253,x12254,x12255,x12256,x12251,x12257,x12258,x12259),f845(x12253,x12254,x12255,x12256,x12252,x12257,x12258,x12259))
% 202.92/202.79 [1226]~E(x12261,x12262)+E(f845(x12263,x12264,x12265,x12266,x12267,x12261,x12268,x12269),f845(x12263,x12264,x12265,x12266,x12267,x12262,x12268,x12269))
% 202.92/202.79 [1227]~E(x12271,x12272)+E(f845(x12273,x12274,x12275,x12276,x12277,x12278,x12271,x12279),f845(x12273,x12274,x12275,x12276,x12277,x12278,x12272,x12279))
% 202.92/202.79 [1228]~E(x12281,x12282)+E(f845(x12283,x12284,x12285,x12286,x12287,x12288,x12289,x12281),f845(x12283,x12284,x12285,x12286,x12287,x12288,x12289,x12282))
% 202.92/202.79 [1229]~E(x12291,x12292)+E(f649(x12291,x12293,x12294,x12295,x12296),f649(x12292,x12293,x12294,x12295,x12296))
% 202.92/202.79 [1230]~E(x12301,x12302)+E(f649(x12303,x12301,x12304,x12305,x12306),f649(x12303,x12302,x12304,x12305,x12306))
% 202.92/202.79 [1231]~E(x12311,x12312)+E(f649(x12313,x12314,x12311,x12315,x12316),f649(x12313,x12314,x12312,x12315,x12316))
% 202.92/202.79 [1232]~E(x12321,x12322)+E(f649(x12323,x12324,x12325,x12321,x12326),f649(x12323,x12324,x12325,x12322,x12326))
% 202.92/202.79 [1233]~E(x12331,x12332)+E(f649(x12333,x12334,x12335,x12336,x12331),f649(x12333,x12334,x12335,x12336,x12332))
% 202.92/202.79 [1234]~E(x12341,x12342)+E(f339(x12341,x12343),f339(x12342,x12343))
% 202.92/202.79 [1235]~E(x12351,x12352)+E(f339(x12353,x12351),f339(x12353,x12352))
% 202.92/202.79 [1236]~E(x12361,x12362)+E(f909(x12361,x12363,x12364,x12365),f909(x12362,x12363,x12364,x12365))
% 202.92/202.79 [1237]~E(x12371,x12372)+E(f909(x12373,x12371,x12374,x12375),f909(x12373,x12372,x12374,x12375))
% 202.92/202.79 [1238]~E(x12381,x12382)+E(f909(x12383,x12384,x12381,x12385),f909(x12383,x12384,x12382,x12385))
% 202.92/202.79 [1239]~E(x12391,x12392)+E(f909(x12393,x12394,x12395,x12391),f909(x12393,x12394,x12395,x12392))
% 202.92/202.79 [1240]~E(x12401,x12402)+E(f53(x12401,x12403,x12404,x12405),f53(x12402,x12403,x12404,x12405))
% 202.92/202.79 [1241]~E(x12411,x12412)+E(f53(x12413,x12411,x12414,x12415),f53(x12413,x12412,x12414,x12415))
% 202.92/202.79 [1242]~E(x12421,x12422)+E(f53(x12423,x12424,x12421,x12425),f53(x12423,x12424,x12422,x12425))
% 202.92/202.79 [1243]~E(x12431,x12432)+E(f53(x12433,x12434,x12435,x12431),f53(x12433,x12434,x12435,x12432))
% 202.92/202.79 [1244]~E(x12441,x12442)+E(f657(x12441,x12443,x12444),f657(x12442,x12443,x12444))
% 202.92/202.79 [1245]~E(x12451,x12452)+E(f657(x12453,x12451,x12454),f657(x12453,x12452,x12454))
% 202.92/202.79 [1246]~E(x12461,x12462)+E(f657(x12463,x12464,x12461),f657(x12463,x12464,x12462))
% 202.92/202.79 [1247]~E(x12471,x12472)+E(f698(x12471,x12473,x12474,x12475,x12476),f698(x12472,x12473,x12474,x12475,x12476))
% 202.92/202.79 [1248]~E(x12481,x12482)+E(f698(x12483,x12481,x12484,x12485,x12486),f698(x12483,x12482,x12484,x12485,x12486))
% 202.92/202.79 [1249]~E(x12491,x12492)+E(f698(x12493,x12494,x12491,x12495,x12496),f698(x12493,x12494,x12492,x12495,x12496))
% 202.92/202.79 [1250]~E(x12501,x12502)+E(f698(x12503,x12504,x12505,x12501,x12506),f698(x12503,x12504,x12505,x12502,x12506))
% 202.92/202.79 [1251]~E(x12511,x12512)+E(f698(x12513,x12514,x12515,x12516,x12511),f698(x12513,x12514,x12515,x12516,x12512))
% 202.92/202.79 [1252]~E(x12521,x12522)+E(f509(x12521,x12523,x12524,x12525),f509(x12522,x12523,x12524,x12525))
% 202.92/202.79 [1253]~E(x12531,x12532)+E(f509(x12533,x12531,x12534,x12535),f509(x12533,x12532,x12534,x12535))
% 202.92/202.79 [1254]~E(x12541,x12542)+E(f509(x12543,x12544,x12541,x12545),f509(x12543,x12544,x12542,x12545))
% 202.92/202.79 [1255]~E(x12551,x12552)+E(f509(x12553,x12554,x12555,x12551),f509(x12553,x12554,x12555,x12552))
% 202.92/202.79 [1256]~E(x12561,x12562)+E(f205(x12561,x12563),f205(x12562,x12563))
% 202.92/202.79 [1257]~E(x12571,x12572)+E(f205(x12573,x12571),f205(x12573,x12572))
% 202.92/202.79 [1258]~E(x12581,x12582)+E(f572(x12581,x12583,x12584,x12585,x12586,x12587,x12588,x12589),f572(x12582,x12583,x12584,x12585,x12586,x12587,x12588,x12589))
% 202.92/202.79 [1259]~E(x12591,x12592)+E(f572(x12593,x12591,x12594,x12595,x12596,x12597,x12598,x12599),f572(x12593,x12592,x12594,x12595,x12596,x12597,x12598,x12599))
% 202.92/202.79 [1260]~E(x12601,x12602)+E(f572(x12603,x12604,x12601,x12605,x12606,x12607,x12608,x12609),f572(x12603,x12604,x12602,x12605,x12606,x12607,x12608,x12609))
% 202.92/202.79 [1261]~E(x12611,x12612)+E(f572(x12613,x12614,x12615,x12611,x12616,x12617,x12618,x12619),f572(x12613,x12614,x12615,x12612,x12616,x12617,x12618,x12619))
% 202.92/202.79 [1262]~E(x12621,x12622)+E(f572(x12623,x12624,x12625,x12626,x12621,x12627,x12628,x12629),f572(x12623,x12624,x12625,x12626,x12622,x12627,x12628,x12629))
% 202.92/202.79 [1263]~E(x12631,x12632)+E(f572(x12633,x12634,x12635,x12636,x12637,x12631,x12638,x12639),f572(x12633,x12634,x12635,x12636,x12637,x12632,x12638,x12639))
% 202.92/202.79 [1264]~E(x12641,x12642)+E(f572(x12643,x12644,x12645,x12646,x12647,x12648,x12641,x12649),f572(x12643,x12644,x12645,x12646,x12647,x12648,x12642,x12649))
% 202.92/202.79 [1265]~E(x12651,x12652)+E(f572(x12653,x12654,x12655,x12656,x12657,x12658,x12659,x12651),f572(x12653,x12654,x12655,x12656,x12657,x12658,x12659,x12652))
% 202.92/202.79 [1266]~E(x12661,x12662)+E(f539(x12661,x12663,x12664,x12665,x12666,x12667,x12668),f539(x12662,x12663,x12664,x12665,x12666,x12667,x12668))
% 202.92/202.79 [1267]~E(x12671,x12672)+E(f539(x12673,x12671,x12674,x12675,x12676,x12677,x12678),f539(x12673,x12672,x12674,x12675,x12676,x12677,x12678))
% 202.92/202.79 [1268]~E(x12681,x12682)+E(f539(x12683,x12684,x12681,x12685,x12686,x12687,x12688),f539(x12683,x12684,x12682,x12685,x12686,x12687,x12688))
% 202.92/202.79 [1269]~E(x12691,x12692)+E(f539(x12693,x12694,x12695,x12691,x12696,x12697,x12698),f539(x12693,x12694,x12695,x12692,x12696,x12697,x12698))
% 202.92/202.79 [1270]~E(x12701,x12702)+E(f539(x12703,x12704,x12705,x12706,x12701,x12707,x12708),f539(x12703,x12704,x12705,x12706,x12702,x12707,x12708))
% 202.92/202.79 [1271]~E(x12711,x12712)+E(f539(x12713,x12714,x12715,x12716,x12717,x12711,x12718),f539(x12713,x12714,x12715,x12716,x12717,x12712,x12718))
% 202.92/202.79 [1272]~E(x12721,x12722)+E(f539(x12723,x12724,x12725,x12726,x12727,x12728,x12721),f539(x12723,x12724,x12725,x12726,x12727,x12728,x12722))
% 202.92/202.79 [1273]~E(x12731,x12732)+E(f488(x12731,x12733,x12734,x12735,x12736),f488(x12732,x12733,x12734,x12735,x12736))
% 202.92/202.79 [1274]~E(x12741,x12742)+E(f488(x12743,x12741,x12744,x12745,x12746),f488(x12743,x12742,x12744,x12745,x12746))
% 202.92/202.79 [1275]~E(x12751,x12752)+E(f488(x12753,x12754,x12751,x12755,x12756),f488(x12753,x12754,x12752,x12755,x12756))
% 202.92/202.79 [1276]~E(x12761,x12762)+E(f488(x12763,x12764,x12765,x12761,x12766),f488(x12763,x12764,x12765,x12762,x12766))
% 202.92/202.79 [1277]~E(x12771,x12772)+E(f488(x12773,x12774,x12775,x12776,x12771),f488(x12773,x12774,x12775,x12776,x12772))
% 202.92/202.79 [1278]~E(x12781,x12782)+E(f394(x12781,x12783,x12784),f394(x12782,x12783,x12784))
% 202.92/202.79 [1279]~E(x12791,x12792)+E(f394(x12793,x12791,x12794),f394(x12793,x12792,x12794))
% 202.92/202.79 [1280]~E(x12801,x12802)+E(f394(x12803,x12804,x12801),f394(x12803,x12804,x12802))
% 202.92/202.79 [1281]~E(x12811,x12812)+E(f857(x12811,x12813,x12814,x12815,x12816,x12817,x12818),f857(x12812,x12813,x12814,x12815,x12816,x12817,x12818))
% 202.92/202.79 [1282]~E(x12821,x12822)+E(f857(x12823,x12821,x12824,x12825,x12826,x12827,x12828),f857(x12823,x12822,x12824,x12825,x12826,x12827,x12828))
% 202.92/202.79 [1283]~E(x12831,x12832)+E(f857(x12833,x12834,x12831,x12835,x12836,x12837,x12838),f857(x12833,x12834,x12832,x12835,x12836,x12837,x12838))
% 202.92/202.79 [1284]~E(x12841,x12842)+E(f857(x12843,x12844,x12845,x12841,x12846,x12847,x12848),f857(x12843,x12844,x12845,x12842,x12846,x12847,x12848))
% 202.92/202.79 [1285]~E(x12851,x12852)+E(f857(x12853,x12854,x12855,x12856,x12851,x12857,x12858),f857(x12853,x12854,x12855,x12856,x12852,x12857,x12858))
% 202.92/202.79 [1286]~E(x12861,x12862)+E(f857(x12863,x12864,x12865,x12866,x12867,x12861,x12868),f857(x12863,x12864,x12865,x12866,x12867,x12862,x12868))
% 202.92/202.79 [1287]~E(x12871,x12872)+E(f857(x12873,x12874,x12875,x12876,x12877,x12878,x12871),f857(x12873,x12874,x12875,x12876,x12877,x12878,x12872))
% 202.92/202.79 [1288]~E(x12881,x12882)+E(f395(x12881,x12883,x12884),f395(x12882,x12883,x12884))
% 202.92/202.79 [1289]~E(x12891,x12892)+E(f395(x12893,x12891,x12894),f395(x12893,x12892,x12894))
% 202.92/202.79 [1290]~E(x12901,x12902)+E(f395(x12903,x12904,x12901),f395(x12903,x12904,x12902))
% 202.92/202.79 [1291]~E(x12911,x12912)+E(f776(x12911,x12913,x12914),f776(x12912,x12913,x12914))
% 202.92/202.79 [1292]~E(x12921,x12922)+E(f776(x12923,x12921,x12924),f776(x12923,x12922,x12924))
% 202.92/202.79 [1293]~E(x12931,x12932)+E(f776(x12933,x12934,x12931),f776(x12933,x12934,x12932))
% 202.92/202.79 [1294]~E(x12941,x12942)+E(f537(x12941,x12943,x12944),f537(x12942,x12943,x12944))
% 202.92/202.79 [1295]~E(x12951,x12952)+E(f537(x12953,x12951,x12954),f537(x12953,x12952,x12954))
% 202.92/202.79 [1296]~E(x12961,x12962)+E(f537(x12963,x12964,x12961),f537(x12963,x12964,x12962))
% 202.92/202.79 [1297]~E(x12971,x12972)+E(f266(x12971,x12973),f266(x12972,x12973))
% 202.92/202.79 [1298]~E(x12981,x12982)+E(f266(x12983,x12981),f266(x12983,x12982))
% 202.92/202.79 [1299]~E(x12991,x12992)+E(f727(x12991,x12993,x12994,x12995),f727(x12992,x12993,x12994,x12995))
% 202.92/202.79 [1300]~E(x13001,x13002)+E(f727(x13003,x13001,x13004,x13005),f727(x13003,x13002,x13004,x13005))
% 202.92/202.79 [1301]~E(x13011,x13012)+E(f727(x13013,x13014,x13011,x13015),f727(x13013,x13014,x13012,x13015))
% 202.92/202.79 [1302]~E(x13021,x13022)+E(f727(x13023,x13024,x13025,x13021),f727(x13023,x13024,x13025,x13022))
% 202.92/202.79 [1303]~E(x13031,x13032)+E(f759(x13031,x13033,x13034),f759(x13032,x13033,x13034))
% 202.92/202.79 [1304]~E(x13041,x13042)+E(f759(x13043,x13041,x13044),f759(x13043,x13042,x13044))
% 202.92/202.79 [1305]~E(x13051,x13052)+E(f759(x13053,x13054,x13051),f759(x13053,x13054,x13052))
% 202.92/202.79 [1306]~E(x13061,x13062)+E(f724(x13061,x13063,x13064,x13065,x13066),f724(x13062,x13063,x13064,x13065,x13066))
% 202.92/202.79 [1307]~E(x13071,x13072)+E(f724(x13073,x13071,x13074,x13075,x13076),f724(x13073,x13072,x13074,x13075,x13076))
% 202.92/202.79 [1308]~E(x13081,x13082)+E(f724(x13083,x13084,x13081,x13085,x13086),f724(x13083,x13084,x13082,x13085,x13086))
% 202.92/202.79 [1309]~E(x13091,x13092)+E(f724(x13093,x13094,x13095,x13091,x13096),f724(x13093,x13094,x13095,x13092,x13096))
% 202.92/202.79 [1310]~E(x13101,x13102)+E(f724(x13103,x13104,x13105,x13106,x13101),f724(x13103,x13104,x13105,x13106,x13102))
% 202.92/202.79 [1311]~E(x13111,x13112)+E(f417(x13111,x13113,x13114,x13115),f417(x13112,x13113,x13114,x13115))
% 202.92/202.79 [1312]~E(x13121,x13122)+E(f417(x13123,x13121,x13124,x13125),f417(x13123,x13122,x13124,x13125))
% 202.92/202.79 [1313]~E(x13131,x13132)+E(f417(x13133,x13134,x13131,x13135),f417(x13133,x13134,x13132,x13135))
% 202.92/202.79 [1314]~E(x13141,x13142)+E(f417(x13143,x13144,x13145,x13141),f417(x13143,x13144,x13145,x13142))
% 202.92/202.79 [1315]~E(x13151,x13152)+E(f396(x13151,x13153),f396(x13152,x13153))
% 202.92/202.79 [1316]~E(x13161,x13162)+E(f396(x13163,x13161),f396(x13163,x13162))
% 202.92/202.79 [1317]~E(x13171,x13172)+E(f576(x13171,x13173,x13174),f576(x13172,x13173,x13174))
% 202.92/202.79 [1318]~E(x13181,x13182)+E(f576(x13183,x13181,x13184),f576(x13183,x13182,x13184))
% 202.92/202.79 [1319]~E(x13191,x13192)+E(f576(x13193,x13194,x13191),f576(x13193,x13194,x13192))
% 202.92/202.79 [1320]~E(x13201,x13202)+E(f902(x13201,x13203),f902(x13202,x13203))
% 202.92/202.79 [1321]~E(x13211,x13212)+E(f902(x13213,x13211),f902(x13213,x13212))
% 202.92/202.79 [1322]~E(x13221,x13222)+E(f344(x13221,x13223),f344(x13222,x13223))
% 202.92/202.79 [1323]~E(x13231,x13232)+E(f344(x13233,x13231),f344(x13233,x13232))
% 202.92/202.79 [1324]~E(x13241,x13242)+E(f751(x13241,x13243,x13244,x13245,x13246,x13247,x13248),f751(x13242,x13243,x13244,x13245,x13246,x13247,x13248))
% 202.92/202.79 [1325]~E(x13251,x13252)+E(f751(x13253,x13251,x13254,x13255,x13256,x13257,x13258),f751(x13253,x13252,x13254,x13255,x13256,x13257,x13258))
% 202.92/202.79 [1326]~E(x13261,x13262)+E(f751(x13263,x13264,x13261,x13265,x13266,x13267,x13268),f751(x13263,x13264,x13262,x13265,x13266,x13267,x13268))
% 202.92/202.79 [1327]~E(x13271,x13272)+E(f751(x13273,x13274,x13275,x13271,x13276,x13277,x13278),f751(x13273,x13274,x13275,x13272,x13276,x13277,x13278))
% 202.92/202.79 [1328]~E(x13281,x13282)+E(f751(x13283,x13284,x13285,x13286,x13281,x13287,x13288),f751(x13283,x13284,x13285,x13286,x13282,x13287,x13288))
% 202.92/202.79 [1329]~E(x13291,x13292)+E(f751(x13293,x13294,x13295,x13296,x13297,x13291,x13298),f751(x13293,x13294,x13295,x13296,x13297,x13292,x13298))
% 202.92/202.79 [1330]~E(x13301,x13302)+E(f751(x13303,x13304,x13305,x13306,x13307,x13308,x13301),f751(x13303,x13304,x13305,x13306,x13307,x13308,x13302))
% 202.92/202.79 [1331]~E(x13311,x13312)+E(f772(x13311,x13313,x13314),f772(x13312,x13313,x13314))
% 202.92/202.79 [1332]~E(x13321,x13322)+E(f772(x13323,x13321,x13324),f772(x13323,x13322,x13324))
% 202.92/202.79 [1333]~E(x13331,x13332)+E(f772(x13333,x13334,x13331),f772(x13333,x13334,x13332))
% 202.92/202.79 [1334]~E(x13341,x13342)+E(f790(x13341,x13343,x13344,x13345,x13346,x13347,x13348),f790(x13342,x13343,x13344,x13345,x13346,x13347,x13348))
% 202.92/202.79 [1335]~E(x13351,x13352)+E(f790(x13353,x13351,x13354,x13355,x13356,x13357,x13358),f790(x13353,x13352,x13354,x13355,x13356,x13357,x13358))
% 202.92/202.79 [1336]~E(x13361,x13362)+E(f790(x13363,x13364,x13361,x13365,x13366,x13367,x13368),f790(x13363,x13364,x13362,x13365,x13366,x13367,x13368))
% 202.92/202.79 [1337]~E(x13371,x13372)+E(f790(x13373,x13374,x13375,x13371,x13376,x13377,x13378),f790(x13373,x13374,x13375,x13372,x13376,x13377,x13378))
% 202.92/202.79 [1338]~E(x13381,x13382)+E(f790(x13383,x13384,x13385,x13386,x13381,x13387,x13388),f790(x13383,x13384,x13385,x13386,x13382,x13387,x13388))
% 202.92/202.79 [1339]~E(x13391,x13392)+E(f790(x13393,x13394,x13395,x13396,x13397,x13391,x13398),f790(x13393,x13394,x13395,x13396,x13397,x13392,x13398))
% 202.92/202.79 [1340]~E(x13401,x13402)+E(f790(x13403,x13404,x13405,x13406,x13407,x13408,x13401),f790(x13403,x13404,x13405,x13406,x13407,x13408,x13402))
% 202.92/202.79 [1341]~E(x13411,x13412)+E(f863(x13411),f863(x13412))
% 202.92/202.79 [1342]~E(x13421,x13422)+E(f522(x13421,x13423,x13424,x13425,x13426),f522(x13422,x13423,x13424,x13425,x13426))
% 202.92/202.79 [1343]~E(x13431,x13432)+E(f522(x13433,x13431,x13434,x13435,x13436),f522(x13433,x13432,x13434,x13435,x13436))
% 202.92/202.79 [1344]~E(x13441,x13442)+E(f522(x13443,x13444,x13441,x13445,x13446),f522(x13443,x13444,x13442,x13445,x13446))
% 202.92/202.79 [1345]~E(x13451,x13452)+E(f522(x13453,x13454,x13455,x13451,x13456),f522(x13453,x13454,x13455,x13452,x13456))
% 202.92/202.79 [1346]~E(x13461,x13462)+E(f522(x13463,x13464,x13465,x13466,x13461),f522(x13463,x13464,x13465,x13466,x13462))
% 202.92/202.79 [1347]~E(x13471,x13472)+E(f647(x13471,x13473,x13474,x13475,x13476),f647(x13472,x13473,x13474,x13475,x13476))
% 202.92/202.79 [1348]~E(x13481,x13482)+E(f647(x13483,x13481,x13484,x13485,x13486),f647(x13483,x13482,x13484,x13485,x13486))
% 202.92/202.79 [1349]~E(x13491,x13492)+E(f647(x13493,x13494,x13491,x13495,x13496),f647(x13493,x13494,x13492,x13495,x13496))
% 202.92/202.79 [1350]~E(x13501,x13502)+E(f647(x13503,x13504,x13505,x13501,x13506),f647(x13503,x13504,x13505,x13502,x13506))
% 202.92/202.79 [1351]~E(x13511,x13512)+E(f647(x13513,x13514,x13515,x13516,x13511),f647(x13513,x13514,x13515,x13516,x13512))
% 202.92/202.79 [1352]~E(x13521,x13522)+E(f699(x13521,x13523,x13524,x13525,x13526),f699(x13522,x13523,x13524,x13525,x13526))
% 202.92/202.79 [1353]~E(x13531,x13532)+E(f699(x13533,x13531,x13534,x13535,x13536),f699(x13533,x13532,x13534,x13535,x13536))
% 202.92/202.79 [1354]~E(x13541,x13542)+E(f699(x13543,x13544,x13541,x13545,x13546),f699(x13543,x13544,x13542,x13545,x13546))
% 202.92/202.79 [1355]~E(x13551,x13552)+E(f699(x13553,x13554,x13555,x13551,x13556),f699(x13553,x13554,x13555,x13552,x13556))
% 202.92/202.79 [1356]~E(x13561,x13562)+E(f699(x13563,x13564,x13565,x13566,x13561),f699(x13563,x13564,x13565,x13566,x13562))
% 202.92/202.79 [1357]~E(x13571,x13572)+E(f846(x13571,x13573,x13574,x13575,x13576,x13577,x13578,x13579),f846(x13572,x13573,x13574,x13575,x13576,x13577,x13578,x13579))
% 202.92/202.79 [1358]~E(x13581,x13582)+E(f846(x13583,x13581,x13584,x13585,x13586,x13587,x13588,x13589),f846(x13583,x13582,x13584,x13585,x13586,x13587,x13588,x13589))
% 202.92/202.79 [1359]~E(x13591,x13592)+E(f846(x13593,x13594,x13591,x13595,x13596,x13597,x13598,x13599),f846(x13593,x13594,x13592,x13595,x13596,x13597,x13598,x13599))
% 202.92/202.79 [1360]~E(x13601,x13602)+E(f846(x13603,x13604,x13605,x13601,x13606,x13607,x13608,x13609),f846(x13603,x13604,x13605,x13602,x13606,x13607,x13608,x13609))
% 202.92/202.79 [1361]~E(x13611,x13612)+E(f846(x13613,x13614,x13615,x13616,x13611,x13617,x13618,x13619),f846(x13613,x13614,x13615,x13616,x13612,x13617,x13618,x13619))
% 202.92/202.79 [1362]~E(x13621,x13622)+E(f846(x13623,x13624,x13625,x13626,x13627,x13621,x13628,x13629),f846(x13623,x13624,x13625,x13626,x13627,x13622,x13628,x13629))
% 202.92/202.79 [1363]~E(x13631,x13632)+E(f846(x13633,x13634,x13635,x13636,x13637,x13638,x13631,x13639),f846(x13633,x13634,x13635,x13636,x13637,x13638,x13632,x13639))
% 202.92/202.79 [1364]~E(x13641,x13642)+E(f846(x13643,x13644,x13645,x13646,x13647,x13648,x13649,x13641),f846(x13643,x13644,x13645,x13646,x13647,x13648,x13649,x13642))
% 202.92/202.79 [1365]~E(x13651,x13652)+E(f566(x13651,x13653,x13654,x13655,x13656),f566(x13652,x13653,x13654,x13655,x13656))
% 202.92/202.79 [1366]~E(x13661,x13662)+E(f566(x13663,x13661,x13664,x13665,x13666),f566(x13663,x13662,x13664,x13665,x13666))
% 202.92/202.79 [1367]~E(x13671,x13672)+E(f566(x13673,x13674,x13671,x13675,x13676),f566(x13673,x13674,x13672,x13675,x13676))
% 202.92/202.79 [1368]~E(x13681,x13682)+E(f566(x13683,x13684,x13685,x13681,x13686),f566(x13683,x13684,x13685,x13682,x13686))
% 202.92/202.79 [1369]~E(x13691,x13692)+E(f566(x13693,x13694,x13695,x13696,x13691),f566(x13693,x13694,x13695,x13696,x13692))
% 202.92/202.79 [1370]~E(x13701,x13702)+E(f713(x13701,x13703),f713(x13702,x13703))
% 202.92/202.79 [1371]~E(x13711,x13712)+E(f713(x13713,x13711),f713(x13713,x13712))
% 202.92/202.79 [1372]~E(x13721,x13722)+E(f837(x13721,x13723,x13724,x13725),f837(x13722,x13723,x13724,x13725))
% 202.92/202.79 [1373]~E(x13731,x13732)+E(f837(x13733,x13731,x13734,x13735),f837(x13733,x13732,x13734,x13735))
% 202.92/202.79 [1374]~E(x13741,x13742)+E(f837(x13743,x13744,x13741,x13745),f837(x13743,x13744,x13742,x13745))
% 202.92/202.79 [1375]~E(x13751,x13752)+E(f837(x13753,x13754,x13755,x13751),f837(x13753,x13754,x13755,x13752))
% 202.92/202.79 [1376]~E(x13761,x13762)+E(f916(x13761,x13763,x13764,x13765),f916(x13762,x13763,x13764,x13765))
% 202.92/202.79 [1377]~E(x13771,x13772)+E(f916(x13773,x13771,x13774,x13775),f916(x13773,x13772,x13774,x13775))
% 202.92/202.79 [1378]~E(x13781,x13782)+E(f916(x13783,x13784,x13781,x13785),f916(x13783,x13784,x13782,x13785))
% 202.92/202.79 [1379]~E(x13791,x13792)+E(f916(x13793,x13794,x13795,x13791),f916(x13793,x13794,x13795,x13792))
% 202.92/202.79 [1380]~E(x13801,x13802)+E(f626(x13801,x13803,x13804,x13805),f626(x13802,x13803,x13804,x13805))
% 202.92/202.79 [1381]~E(x13811,x13812)+E(f626(x13813,x13811,x13814,x13815),f626(x13813,x13812,x13814,x13815))
% 202.92/202.79 [1382]~E(x13821,x13822)+E(f626(x13823,x13824,x13821,x13825),f626(x13823,x13824,x13822,x13825))
% 202.92/202.79 [1383]~E(x13831,x13832)+E(f626(x13833,x13834,x13835,x13831),f626(x13833,x13834,x13835,x13832))
% 202.92/202.79 [1384]~E(x13841,x13842)+E(f480(x13841,x13843,x13844,x13845),f480(x13842,x13843,x13844,x13845))
% 202.92/202.79 [1385]~E(x13851,x13852)+E(f480(x13853,x13851,x13854,x13855),f480(x13853,x13852,x13854,x13855))
% 202.92/202.79 [1386]~E(x13861,x13862)+E(f480(x13863,x13864,x13861,x13865),f480(x13863,x13864,x13862,x13865))
% 202.92/202.79 [1387]~E(x13871,x13872)+E(f480(x13873,x13874,x13875,x13871),f480(x13873,x13874,x13875,x13872))
% 202.92/202.79 [1388]~E(x13881,x13882)+E(f201(x13881,x13883,x13884,x13885),f201(x13882,x13883,x13884,x13885))
% 202.92/202.79 [1389]~E(x13891,x13892)+E(f201(x13893,x13891,x13894,x13895),f201(x13893,x13892,x13894,x13895))
% 202.92/202.79 [1390]~E(x13901,x13902)+E(f201(x13903,x13904,x13901,x13905),f201(x13903,x13904,x13902,x13905))
% 202.92/202.79 [1391]~E(x13911,x13912)+E(f201(x13913,x13914,x13915,x13911),f201(x13913,x13914,x13915,x13912))
% 202.92/202.79 [1392]~E(x13921,x13922)+E(f831(x13921,x13923,x13924,x13925,x13926,x13927),f831(x13922,x13923,x13924,x13925,x13926,x13927))
% 202.92/202.79 [1393]~E(x13931,x13932)+E(f831(x13933,x13931,x13934,x13935,x13936,x13937),f831(x13933,x13932,x13934,x13935,x13936,x13937))
% 202.92/202.79 [1394]~E(x13941,x13942)+E(f831(x13943,x13944,x13941,x13945,x13946,x13947),f831(x13943,x13944,x13942,x13945,x13946,x13947))
% 202.92/202.79 [1395]~E(x13951,x13952)+E(f831(x13953,x13954,x13955,x13951,x13956,x13957),f831(x13953,x13954,x13955,x13952,x13956,x13957))
% 202.92/202.79 [1396]~E(x13961,x13962)+E(f831(x13963,x13964,x13965,x13966,x13961,x13967),f831(x13963,x13964,x13965,x13966,x13962,x13967))
% 202.92/202.79 [1397]~E(x13971,x13972)+E(f831(x13973,x13974,x13975,x13976,x13977,x13971),f831(x13973,x13974,x13975,x13976,x13977,x13972))
% 202.92/202.79 [1398]~E(x13981,x13982)+E(f833(x13981,x13983,x13984,x13985),f833(x13982,x13983,x13984,x13985))
% 202.92/202.79 [1399]~E(x13991,x13992)+E(f833(x13993,x13991,x13994,x13995),f833(x13993,x13992,x13994,x13995))
% 202.92/202.79 [1400]~E(x14001,x14002)+E(f833(x14003,x14004,x14001,x14005),f833(x14003,x14004,x14002,x14005))
% 202.92/202.79 [1401]~E(x14011,x14012)+E(f833(x14013,x14014,x14015,x14011),f833(x14013,x14014,x14015,x14012))
% 202.92/202.79 [1402]~E(x14021,x14022)+E(f499(x14021,x14023,x14024),f499(x14022,x14023,x14024))
% 202.92/202.79 [1403]~E(x14031,x14032)+E(f499(x14033,x14031,x14034),f499(x14033,x14032,x14034))
% 202.92/202.79 [1404]~E(x14041,x14042)+E(f499(x14043,x14044,x14041),f499(x14043,x14044,x14042))
% 202.92/202.79 [1405]~E(x14051,x14052)+E(f491(x14051,x14053,x14054),f491(x14052,x14053,x14054))
% 202.92/202.79 [1406]~E(x14061,x14062)+E(f491(x14063,x14061,x14064),f491(x14063,x14062,x14064))
% 202.92/202.79 [1407]~E(x14071,x14072)+E(f491(x14073,x14074,x14071),f491(x14073,x14074,x14072))
% 202.92/202.79 [1408]~E(x14081,x14082)+E(f885(x14081,x14083,x14084),f885(x14082,x14083,x14084))
% 202.92/202.79 [1409]~E(x14091,x14092)+E(f885(x14093,x14091,x14094),f885(x14093,x14092,x14094))
% 202.92/202.79 [1410]~E(x14101,x14102)+E(f885(x14103,x14104,x14101),f885(x14103,x14104,x14102))
% 202.92/202.79 [1411]~E(x14111,x14112)+E(f312(x14111,x14113,x14114),f312(x14112,x14113,x14114))
% 202.92/202.79 [1412]~E(x14121,x14122)+E(f312(x14123,x14121,x14124),f312(x14123,x14122,x14124))
% 202.92/202.79 [1413]~E(x14131,x14132)+E(f312(x14133,x14134,x14131),f312(x14133,x14134,x14132))
% 202.92/202.79 [1414]~E(x14141,x14142)+E(f338(x14141),f338(x14142))
% 202.92/202.79 [1415]~E(x14151,x14152)+E(f414(x14151,x14153,x14154,x14155),f414(x14152,x14153,x14154,x14155))
% 202.92/202.79 [1416]~E(x14161,x14162)+E(f414(x14163,x14161,x14164,x14165),f414(x14163,x14162,x14164,x14165))
% 202.92/202.79 [1417]~E(x14171,x14172)+E(f414(x14173,x14174,x14171,x14175),f414(x14173,x14174,x14172,x14175))
% 202.92/202.79 [1418]~E(x14181,x14182)+E(f414(x14183,x14184,x14185,x14181),f414(x14183,x14184,x14185,x14182))
% 202.92/202.79 [1419]~E(x14191,x14192)+E(f687(x14191,x14193,x14194,x14195),f687(x14192,x14193,x14194,x14195))
% 202.92/202.79 [1420]~E(x14201,x14202)+E(f687(x14203,x14201,x14204,x14205),f687(x14203,x14202,x14204,x14205))
% 202.92/202.79 [1421]~E(x14211,x14212)+E(f687(x14213,x14214,x14211,x14215),f687(x14213,x14214,x14212,x14215))
% 202.92/202.79 [1422]~E(x14221,x14222)+E(f687(x14223,x14224,x14225,x14221),f687(x14223,x14224,x14225,x14222))
% 202.92/202.79 [1423]~E(x14231,x14232)+E(f81(x14231),f81(x14232))
% 202.92/202.79 [1424]~E(x14241,x14242)+E(f712(x14241,x14243),f712(x14242,x14243))
% 202.92/202.79 [1425]~E(x14251,x14252)+E(f712(x14253,x14251),f712(x14253,x14252))
% 202.92/202.79 [1426]~E(x14261,x14262)+E(f332(x14261,x14263,x14264),f332(x14262,x14263,x14264))
% 202.92/202.79 [1427]~E(x14271,x14272)+E(f332(x14273,x14271,x14274),f332(x14273,x14272,x14274))
% 202.92/202.79 [1428]~E(x14281,x14282)+E(f332(x14283,x14284,x14281),f332(x14283,x14284,x14282))
% 202.92/202.79 [1429]~E(x14291,x14292)+E(f710(x14291,x14293),f710(x14292,x14293))
% 202.92/202.79 [1430]~E(x14301,x14302)+E(f710(x14303,x14301),f710(x14303,x14302))
% 202.92/202.79 [1431]~E(x14311,x14312)+E(f512(x14311,x14313,x14314,x14315,x14316,x14317),f512(x14312,x14313,x14314,x14315,x14316,x14317))
% 202.92/202.79 [1432]~E(x14321,x14322)+E(f512(x14323,x14321,x14324,x14325,x14326,x14327),f512(x14323,x14322,x14324,x14325,x14326,x14327))
% 202.92/202.79 [1433]~E(x14331,x14332)+E(f512(x14333,x14334,x14331,x14335,x14336,x14337),f512(x14333,x14334,x14332,x14335,x14336,x14337))
% 202.92/202.79 [1434]~E(x14341,x14342)+E(f512(x14343,x14344,x14345,x14341,x14346,x14347),f512(x14343,x14344,x14345,x14342,x14346,x14347))
% 202.92/202.79 [1435]~E(x14351,x14352)+E(f512(x14353,x14354,x14355,x14356,x14351,x14357),f512(x14353,x14354,x14355,x14356,x14352,x14357))
% 202.92/202.79 [1436]~E(x14361,x14362)+E(f512(x14363,x14364,x14365,x14366,x14367,x14361),f512(x14363,x14364,x14365,x14366,x14367,x14362))
% 202.92/202.79 [1437]~E(x14371,x14372)+E(f381(x14371,x14373),f381(x14372,x14373))
% 202.92/202.79 [1438]~E(x14381,x14382)+E(f381(x14383,x14381),f381(x14383,x14382))
% 202.92/202.79 [1439]~E(x14391,x14392)+E(f554(x14391,x14393),f554(x14392,x14393))
% 202.92/202.79 [1440]~E(x14401,x14402)+E(f554(x14403,x14401),f554(x14403,x14402))
% 202.92/202.79 [1441]~E(x14411,x14412)+E(f565(x14411,x14413,x14414,x14415),f565(x14412,x14413,x14414,x14415))
% 202.92/202.79 [1442]~E(x14421,x14422)+E(f565(x14423,x14421,x14424,x14425),f565(x14423,x14422,x14424,x14425))
% 202.92/202.79 [1443]~E(x14431,x14432)+E(f565(x14433,x14434,x14431,x14435),f565(x14433,x14434,x14432,x14435))
% 202.92/202.79 [1444]~E(x14441,x14442)+E(f565(x14443,x14444,x14445,x14441),f565(x14443,x14444,x14445,x14442))
% 202.92/202.79 [1445]~E(x14451,x14452)+E(f475(x14451,x14453,x14454,x14455,x14456),f475(x14452,x14453,x14454,x14455,x14456))
% 202.92/202.79 [1446]~E(x14461,x14462)+E(f475(x14463,x14461,x14464,x14465,x14466),f475(x14463,x14462,x14464,x14465,x14466))
% 202.92/202.79 [1447]~E(x14471,x14472)+E(f475(x14473,x14474,x14471,x14475,x14476),f475(x14473,x14474,x14472,x14475,x14476))
% 202.92/202.79 [1448]~E(x14481,x14482)+E(f475(x14483,x14484,x14485,x14481,x14486),f475(x14483,x14484,x14485,x14482,x14486))
% 202.92/202.79 [1449]~E(x14491,x14492)+E(f475(x14493,x14494,x14495,x14496,x14491),f475(x14493,x14494,x14495,x14496,x14492))
% 202.92/202.79 [1450]~E(x14501,x14502)+E(f703(x14501,x14503),f703(x14502,x14503))
% 202.92/202.79 [1451]~E(x14511,x14512)+E(f703(x14513,x14511),f703(x14513,x14512))
% 202.92/202.79 [1452]~E(x14521,x14522)+E(f782(x14521,x14523,x14524,x14525),f782(x14522,x14523,x14524,x14525))
% 202.92/202.79 [1453]~E(x14531,x14532)+E(f782(x14533,x14531,x14534,x14535),f782(x14533,x14532,x14534,x14535))
% 202.92/202.79 [1454]~E(x14541,x14542)+E(f782(x14543,x14544,x14541,x14545),f782(x14543,x14544,x14542,x14545))
% 202.92/202.79 [1455]~E(x14551,x14552)+E(f782(x14553,x14554,x14555,x14551),f782(x14553,x14554,x14555,x14552))
% 202.92/202.79 [1456]~E(x14561,x14562)+E(f656(x14561,x14563,x14564,x14565,x14566),f656(x14562,x14563,x14564,x14565,x14566))
% 202.92/202.79 [1457]~E(x14571,x14572)+E(f656(x14573,x14571,x14574,x14575,x14576),f656(x14573,x14572,x14574,x14575,x14576))
% 202.92/202.79 [1458]~E(x14581,x14582)+E(f656(x14583,x14584,x14581,x14585,x14586),f656(x14583,x14584,x14582,x14585,x14586))
% 202.92/202.79 [1459]~E(x14591,x14592)+E(f656(x14593,x14594,x14595,x14591,x14596),f656(x14593,x14594,x14595,x14592,x14596))
% 202.92/202.79 [1460]~E(x14601,x14602)+E(f656(x14603,x14604,x14605,x14606,x14601),f656(x14603,x14604,x14605,x14606,x14602))
% 202.92/202.79 [1461]~E(x14611,x14612)+E(f892(x14611,x14613,x14614,x14615),f892(x14612,x14613,x14614,x14615))
% 202.92/202.79 [1462]~E(x14621,x14622)+E(f892(x14623,x14621,x14624,x14625),f892(x14623,x14622,x14624,x14625))
% 202.92/202.79 [1463]~E(x14631,x14632)+E(f892(x14633,x14634,x14631,x14635),f892(x14633,x14634,x14632,x14635))
% 202.92/202.79 [1464]~E(x14641,x14642)+E(f892(x14643,x14644,x14645,x14641),f892(x14643,x14644,x14645,x14642))
% 202.92/202.79 [1465]~E(x14651,x14652)+E(f353(x14651,x14653,x14654),f353(x14652,x14653,x14654))
% 202.92/202.79 [1466]~E(x14661,x14662)+E(f353(x14663,x14661,x14664),f353(x14663,x14662,x14664))
% 202.92/202.79 [1467]~E(x14671,x14672)+E(f353(x14673,x14674,x14671),f353(x14673,x14674,x14672))
% 202.92/202.79 [1468]~E(x14681,x14682)+E(f241(x14681,x14683,x14684),f241(x14682,x14683,x14684))
% 202.92/202.79 [1469]~E(x14691,x14692)+E(f241(x14693,x14691,x14694),f241(x14693,x14692,x14694))
% 202.92/202.79 [1470]~E(x14701,x14702)+E(f241(x14703,x14704,x14701),f241(x14703,x14704,x14702))
% 202.92/202.79 [1471]~E(x14711,x14712)+E(f717(x14711,x14713,x14714),f717(x14712,x14713,x14714))
% 202.92/202.79 [1472]~E(x14721,x14722)+E(f717(x14723,x14721,x14724),f717(x14723,x14722,x14724))
% 202.92/202.79 [1473]~E(x14731,x14732)+E(f717(x14733,x14734,x14731),f717(x14733,x14734,x14732))
% 202.92/202.79 [1474]~E(x14741,x14742)+E(f370(x14741,x14743,x14744),f370(x14742,x14743,x14744))
% 202.92/202.79 [1475]~E(x14751,x14752)+E(f370(x14753,x14751,x14754),f370(x14753,x14752,x14754))
% 202.92/202.79 [1476]~E(x14761,x14762)+E(f370(x14763,x14764,x14761),f370(x14763,x14764,x14762))
% 202.92/202.79 [1477]~E(x14771,x14772)+E(f447(x14771,x14773,x14774),f447(x14772,x14773,x14774))
% 202.92/202.79 [1478]~E(x14781,x14782)+E(f447(x14783,x14781,x14784),f447(x14783,x14782,x14784))
% 202.92/202.79 [1479]~E(x14791,x14792)+E(f447(x14793,x14794,x14791),f447(x14793,x14794,x14792))
% 202.92/202.79 [1480]~E(x14801,x14802)+E(f502(x14801,x14803,x14804),f502(x14802,x14803,x14804))
% 202.92/202.79 [1481]~E(x14811,x14812)+E(f502(x14813,x14811,x14814),f502(x14813,x14812,x14814))
% 202.92/202.79 [1482]~E(x14821,x14822)+E(f502(x14823,x14824,x14821),f502(x14823,x14824,x14822))
% 202.92/202.79 [1483]~E(x14831,x14832)+E(f715(x14831,x14833,x14834),f715(x14832,x14833,x14834))
% 202.92/202.79 [1484]~E(x14841,x14842)+E(f715(x14843,x14841,x14844),f715(x14843,x14842,x14844))
% 202.92/202.79 [1485]~E(x14851,x14852)+E(f715(x14853,x14854,x14851),f715(x14853,x14854,x14852))
% 202.92/202.79 [1486]~E(x14861,x14862)+E(f876(x14861,x14863,x14864,x14865,x14866),f876(x14862,x14863,x14864,x14865,x14866))
% 202.92/202.79 [1487]~E(x14871,x14872)+E(f876(x14873,x14871,x14874,x14875,x14876),f876(x14873,x14872,x14874,x14875,x14876))
% 202.92/202.79 [1488]~E(x14881,x14882)+E(f876(x14883,x14884,x14881,x14885,x14886),f876(x14883,x14884,x14882,x14885,x14886))
% 202.92/202.79 [1489]~E(x14891,x14892)+E(f876(x14893,x14894,x14895,x14891,x14896),f876(x14893,x14894,x14895,x14892,x14896))
% 202.92/202.79 [1490]~E(x14901,x14902)+E(f876(x14903,x14904,x14905,x14906,x14901),f876(x14903,x14904,x14905,x14906,x14902))
% 202.92/202.79 [1491]~E(x14911,x14912)+E(f391(x14911,x14913),f391(x14912,x14913))
% 202.92/202.79 [1492]~E(x14921,x14922)+E(f391(x14923,x14921),f391(x14923,x14922))
% 202.92/202.79 [1493]~E(x14931,x14932)+E(f595(x14931,x14933,x14934,x14935,x14936,x14937),f595(x14932,x14933,x14934,x14935,x14936,x14937))
% 202.92/202.79 [1494]~E(x14941,x14942)+E(f595(x14943,x14941,x14944,x14945,x14946,x14947),f595(x14943,x14942,x14944,x14945,x14946,x14947))
% 202.92/202.79 [1495]~E(x14951,x14952)+E(f595(x14953,x14954,x14951,x14955,x14956,x14957),f595(x14953,x14954,x14952,x14955,x14956,x14957))
% 202.92/202.79 [1496]~E(x14961,x14962)+E(f595(x14963,x14964,x14965,x14961,x14966,x14967),f595(x14963,x14964,x14965,x14962,x14966,x14967))
% 202.92/202.79 [1497]~E(x14971,x14972)+E(f595(x14973,x14974,x14975,x14976,x14971,x14977),f595(x14973,x14974,x14975,x14976,x14972,x14977))
% 202.92/202.79 [1498]~E(x14981,x14982)+E(f595(x14983,x14984,x14985,x14986,x14987,x14981),f595(x14983,x14984,x14985,x14986,x14987,x14982))
% 202.92/202.79 [1499]~E(x14991,x14992)+E(f893(x14991,x14993,x14994,x14995),f893(x14992,x14993,x14994,x14995))
% 202.92/202.79 [1500]~E(x15001,x15002)+E(f893(x15003,x15001,x15004,x15005),f893(x15003,x15002,x15004,x15005))
% 202.92/202.79 [1501]~E(x15011,x15012)+E(f893(x15013,x15014,x15011,x15015),f893(x15013,x15014,x15012,x15015))
% 202.92/202.79 [1502]~E(x15021,x15022)+E(f893(x15023,x15024,x15025,x15021),f893(x15023,x15024,x15025,x15022))
% 202.92/202.79 [1503]~E(x15031,x15032)+E(f448(x15031,x15033,x15034,x15035),f448(x15032,x15033,x15034,x15035))
% 202.92/202.79 [1504]~E(x15041,x15042)+E(f448(x15043,x15041,x15044,x15045),f448(x15043,x15042,x15044,x15045))
% 202.92/202.79 [1505]~E(x15051,x15052)+E(f448(x15053,x15054,x15051,x15055),f448(x15053,x15054,x15052,x15055))
% 202.92/202.79 [1506]~E(x15061,x15062)+E(f448(x15063,x15064,x15065,x15061),f448(x15063,x15064,x15065,x15062))
% 202.92/202.79 [1507]~E(x15071,x15072)+E(f670(x15071,x15073),f670(x15072,x15073))
% 202.92/202.79 [1508]~E(x15081,x15082)+E(f670(x15083,x15081),f670(x15083,x15082))
% 202.92/202.79 [1509]~E(x15091,x15092)+E(f121(x15091,x15093,x15094,x15095),f121(x15092,x15093,x15094,x15095))
% 202.92/202.79 [1510]~E(x15101,x15102)+E(f121(x15103,x15101,x15104,x15105),f121(x15103,x15102,x15104,x15105))
% 202.92/202.79 [1511]~E(x15111,x15112)+E(f121(x15113,x15114,x15111,x15115),f121(x15113,x15114,x15112,x15115))
% 202.92/202.79 [1512]~E(x15121,x15122)+E(f121(x15123,x15124,x15125,x15121),f121(x15123,x15124,x15125,x15122))
% 202.92/202.79 [1513]~E(x15131,x15132)+E(f689(x15131,x15133),f689(x15132,x15133))
% 202.92/202.79 [1514]~E(x15141,x15142)+E(f689(x15143,x15141),f689(x15143,x15142))
% 202.92/202.79 [1515]~E(x15151,x15152)+E(f801(x15151,x15153,x15154,x15155,x15156,x15157,x15158),f801(x15152,x15153,x15154,x15155,x15156,x15157,x15158))
% 202.92/202.79 [1516]~E(x15161,x15162)+E(f801(x15163,x15161,x15164,x15165,x15166,x15167,x15168),f801(x15163,x15162,x15164,x15165,x15166,x15167,x15168))
% 202.92/202.79 [1517]~E(x15171,x15172)+E(f801(x15173,x15174,x15171,x15175,x15176,x15177,x15178),f801(x15173,x15174,x15172,x15175,x15176,x15177,x15178))
% 202.92/202.79 [1518]~E(x15181,x15182)+E(f801(x15183,x15184,x15185,x15181,x15186,x15187,x15188),f801(x15183,x15184,x15185,x15182,x15186,x15187,x15188))
% 202.92/202.79 [1519]~E(x15191,x15192)+E(f801(x15193,x15194,x15195,x15196,x15191,x15197,x15198),f801(x15193,x15194,x15195,x15196,x15192,x15197,x15198))
% 202.92/202.79 [1520]~E(x15201,x15202)+E(f801(x15203,x15204,x15205,x15206,x15207,x15201,x15208),f801(x15203,x15204,x15205,x15206,x15207,x15202,x15208))
% 202.92/202.79 [1521]~E(x15211,x15212)+E(f801(x15213,x15214,x15215,x15216,x15217,x15218,x15211),f801(x15213,x15214,x15215,x15216,x15217,x15218,x15212))
% 202.92/202.79 [1522]~E(x15221,x15222)+E(f897(x15221,x15223,x15224,x15225),f897(x15222,x15223,x15224,x15225))
% 202.92/202.79 [1523]~E(x15231,x15232)+E(f897(x15233,x15231,x15234,x15235),f897(x15233,x15232,x15234,x15235))
% 202.92/202.79 [1524]~E(x15241,x15242)+E(f897(x15243,x15244,x15241,x15245),f897(x15243,x15244,x15242,x15245))
% 202.92/202.79 [1525]~E(x15251,x15252)+E(f897(x15253,x15254,x15255,x15251),f897(x15253,x15254,x15255,x15252))
% 202.92/202.79 [1526]~E(x15261,x15262)+E(f773(x15261,x15263,x15264,x15265),f773(x15262,x15263,x15264,x15265))
% 202.92/202.79 [1527]~E(x15271,x15272)+E(f773(x15273,x15271,x15274,x15275),f773(x15273,x15272,x15274,x15275))
% 202.92/202.79 [1528]~E(x15281,x15282)+E(f773(x15283,x15284,x15281,x15285),f773(x15283,x15284,x15282,x15285))
% 202.92/202.79 [1529]~E(x15291,x15292)+E(f773(x15293,x15294,x15295,x15291),f773(x15293,x15294,x15295,x15292))
% 202.92/202.79 [1530]~E(x15301,x15302)+E(f680(x15301,x15303,x15304),f680(x15302,x15303,x15304))
% 202.92/202.79 [1531]~E(x15311,x15312)+E(f680(x15313,x15311,x15314),f680(x15313,x15312,x15314))
% 202.92/202.79 [1532]~E(x15321,x15322)+E(f680(x15323,x15324,x15321),f680(x15323,x15324,x15322))
% 202.92/202.79 [1533]~E(x15331,x15332)+E(f402(x15331,x15333,x15334,x15335,x15336,x15337,x15338),f402(x15332,x15333,x15334,x15335,x15336,x15337,x15338))
% 202.92/202.79 [1534]~E(x15341,x15342)+E(f402(x15343,x15341,x15344,x15345,x15346,x15347,x15348),f402(x15343,x15342,x15344,x15345,x15346,x15347,x15348))
% 202.92/202.79 [1535]~E(x15351,x15352)+E(f402(x15353,x15354,x15351,x15355,x15356,x15357,x15358),f402(x15353,x15354,x15352,x15355,x15356,x15357,x15358))
% 202.92/202.79 [1536]~E(x15361,x15362)+E(f402(x15363,x15364,x15365,x15361,x15366,x15367,x15368),f402(x15363,x15364,x15365,x15362,x15366,x15367,x15368))
% 202.92/202.79 [1537]~E(x15371,x15372)+E(f402(x15373,x15374,x15375,x15376,x15371,x15377,x15378),f402(x15373,x15374,x15375,x15376,x15372,x15377,x15378))
% 202.92/202.79 [1538]~E(x15381,x15382)+E(f402(x15383,x15384,x15385,x15386,x15387,x15381,x15388),f402(x15383,x15384,x15385,x15386,x15387,x15382,x15388))
% 202.92/202.79 [1539]~E(x15391,x15392)+E(f402(x15393,x15394,x15395,x15396,x15397,x15398,x15391),f402(x15393,x15394,x15395,x15396,x15397,x15398,x15392))
% 202.92/202.79 [1540]~E(x15401,x15402)+E(f706(x15401,x15403,x15404,x15405,x15406),f706(x15402,x15403,x15404,x15405,x15406))
% 202.92/202.79 [1541]~E(x15411,x15412)+E(f706(x15413,x15411,x15414,x15415,x15416),f706(x15413,x15412,x15414,x15415,x15416))
% 202.92/202.79 [1542]~E(x15421,x15422)+E(f706(x15423,x15424,x15421,x15425,x15426),f706(x15423,x15424,x15422,x15425,x15426))
% 202.92/202.79 [1543]~E(x15431,x15432)+E(f706(x15433,x15434,x15435,x15431,x15436),f706(x15433,x15434,x15435,x15432,x15436))
% 202.92/202.79 [1544]~E(x15441,x15442)+E(f706(x15443,x15444,x15445,x15446,x15441),f706(x15443,x15444,x15445,x15446,x15442))
% 202.92/202.79 [1545]~E(x15451,x15452)+E(f547(x15451,x15453,x15454,x15455),f547(x15452,x15453,x15454,x15455))
% 202.92/202.79 [1546]~E(x15461,x15462)+E(f547(x15463,x15461,x15464,x15465),f547(x15463,x15462,x15464,x15465))
% 202.92/202.79 [1547]~E(x15471,x15472)+E(f547(x15473,x15474,x15471,x15475),f547(x15473,x15474,x15472,x15475))
% 202.92/202.79 [1548]~E(x15481,x15482)+E(f547(x15483,x15484,x15485,x15481),f547(x15483,x15484,x15485,x15482))
% 202.92/202.79 [1549]~E(x15491,x15492)+E(f821(x15491,x15493,x15494,x15495),f821(x15492,x15493,x15494,x15495))
% 202.92/202.79 [1550]~E(x15501,x15502)+E(f821(x15503,x15501,x15504,x15505),f821(x15503,x15502,x15504,x15505))
% 202.92/202.79 [1551]~E(x15511,x15512)+E(f821(x15513,x15514,x15511,x15515),f821(x15513,x15514,x15512,x15515))
% 202.92/202.79 [1552]~E(x15521,x15522)+E(f821(x15523,x15524,x15525,x15521),f821(x15523,x15524,x15525,x15522))
% 202.92/202.79 [1553]~E(x15531,x15532)+E(f126(x15531),f126(x15532))
% 202.92/202.79 [1554]~E(x15541,x15542)+E(f287(x15541,x15543,x15544),f287(x15542,x15543,x15544))
% 202.92/202.79 [1555]~E(x15551,x15552)+E(f287(x15553,x15551,x15554),f287(x15553,x15552,x15554))
% 202.92/202.79 [1556]~E(x15561,x15562)+E(f287(x15563,x15564,x15561),f287(x15563,x15564,x15562))
% 202.92/202.79 [1557]~E(x15571,x15572)+E(f818(x15571,x15573,x15574,x15575,x15576,x15577),f818(x15572,x15573,x15574,x15575,x15576,x15577))
% 202.92/202.79 [1558]~E(x15581,x15582)+E(f818(x15583,x15581,x15584,x15585,x15586,x15587),f818(x15583,x15582,x15584,x15585,x15586,x15587))
% 202.92/202.79 [1559]~E(x15591,x15592)+E(f818(x15593,x15594,x15591,x15595,x15596,x15597),f818(x15593,x15594,x15592,x15595,x15596,x15597))
% 202.92/202.79 [1560]~E(x15601,x15602)+E(f818(x15603,x15604,x15605,x15601,x15606,x15607),f818(x15603,x15604,x15605,x15602,x15606,x15607))
% 202.92/202.79 [1561]~E(x15611,x15612)+E(f818(x15613,x15614,x15615,x15616,x15611,x15617),f818(x15613,x15614,x15615,x15616,x15612,x15617))
% 202.92/202.79 [1562]~E(x15621,x15622)+E(f818(x15623,x15624,x15625,x15626,x15627,x15621),f818(x15623,x15624,x15625,x15626,x15627,x15622))
% 202.92/202.79 [1563]~E(x15631,x15632)+E(f800(x15631,x15633,x15634,x15635),f800(x15632,x15633,x15634,x15635))
% 202.92/202.79 [1564]~E(x15641,x15642)+E(f800(x15643,x15641,x15644,x15645),f800(x15643,x15642,x15644,x15645))
% 202.92/202.79 [1565]~E(x15651,x15652)+E(f800(x15653,x15654,x15651,x15655),f800(x15653,x15654,x15652,x15655))
% 202.92/202.79 [1566]~E(x15661,x15662)+E(f800(x15663,x15664,x15665,x15661),f800(x15663,x15664,x15665,x15662))
% 202.92/202.79 [1567]~E(x15671,x15672)+E(f819(x15671,x15673,x15674,x15675,x15676,x15677),f819(x15672,x15673,x15674,x15675,x15676,x15677))
% 202.92/202.79 [1568]~E(x15681,x15682)+E(f819(x15683,x15681,x15684,x15685,x15686,x15687),f819(x15683,x15682,x15684,x15685,x15686,x15687))
% 202.92/202.79 [1569]~E(x15691,x15692)+E(f819(x15693,x15694,x15691,x15695,x15696,x15697),f819(x15693,x15694,x15692,x15695,x15696,x15697))
% 202.92/202.79 [1570]~E(x15701,x15702)+E(f819(x15703,x15704,x15705,x15701,x15706,x15707),f819(x15703,x15704,x15705,x15702,x15706,x15707))
% 202.92/202.79 [1571]~E(x15711,x15712)+E(f819(x15713,x15714,x15715,x15716,x15711,x15717),f819(x15713,x15714,x15715,x15716,x15712,x15717))
% 202.92/202.79 [1572]~E(x15721,x15722)+E(f819(x15723,x15724,x15725,x15726,x15727,x15721),f819(x15723,x15724,x15725,x15726,x15727,x15722))
% 202.92/202.79 [1573]~E(x15731,x15732)+E(f536(x15731,x15733,x15734),f536(x15732,x15733,x15734))
% 202.92/202.79 [1574]~E(x15741,x15742)+E(f536(x15743,x15741,x15744),f536(x15743,x15742,x15744))
% 202.92/202.79 [1575]~E(x15751,x15752)+E(f536(x15753,x15754,x15751),f536(x15753,x15754,x15752))
% 202.92/202.79 [1576]~E(x15761,x15762)+E(f785(x15761,x15763,x15764,x15765),f785(x15762,x15763,x15764,x15765))
% 202.92/202.79 [1577]~E(x15771,x15772)+E(f785(x15773,x15771,x15774,x15775),f785(x15773,x15772,x15774,x15775))
% 202.92/202.79 [1578]~E(x15781,x15782)+E(f785(x15783,x15784,x15781,x15785),f785(x15783,x15784,x15782,x15785))
% 202.92/202.79 [1579]~E(x15791,x15792)+E(f785(x15793,x15794,x15795,x15791),f785(x15793,x15794,x15795,x15792))
% 202.92/202.79 [1580]~E(x15801,x15802)+E(f630(x15801,x15803,x15804,x15805,x15806),f630(x15802,x15803,x15804,x15805,x15806))
% 202.92/202.79 [1581]~E(x15811,x15812)+E(f630(x15813,x15811,x15814,x15815,x15816),f630(x15813,x15812,x15814,x15815,x15816))
% 202.92/202.79 [1582]~E(x15821,x15822)+E(f630(x15823,x15824,x15821,x15825,x15826),f630(x15823,x15824,x15822,x15825,x15826))
% 202.92/202.79 [1583]~E(x15831,x15832)+E(f630(x15833,x15834,x15835,x15831,x15836),f630(x15833,x15834,x15835,x15832,x15836))
% 202.92/202.79 [1584]~E(x15841,x15842)+E(f630(x15843,x15844,x15845,x15846,x15841),f630(x15843,x15844,x15845,x15846,x15842))
% 202.92/202.79 [1585]~E(x15851,x15852)+E(f884(x15851,x15853,x15854),f884(x15852,x15853,x15854))
% 202.92/202.79 [1586]~E(x15861,x15862)+E(f884(x15863,x15861,x15864),f884(x15863,x15862,x15864))
% 202.92/202.79 [1587]~E(x15871,x15872)+E(f884(x15873,x15874,x15871),f884(x15873,x15874,x15872))
% 202.92/202.79 [1588]~E(x15881,x15882)+E(f218(x15881,x15883),f218(x15882,x15883))
% 202.92/202.79 [1589]~E(x15891,x15892)+E(f218(x15893,x15891),f218(x15893,x15892))
% 202.92/202.79 [1590]~E(x15901,x15902)+E(f625(x15901,x15903,x15904),f625(x15902,x15903,x15904))
% 202.92/202.79 [1591]~E(x15911,x15912)+E(f625(x15913,x15911,x15914),f625(x15913,x15912,x15914))
% 202.92/202.79 [1592]~E(x15921,x15922)+E(f625(x15923,x15924,x15921),f625(x15923,x15924,x15922))
% 202.92/202.79 [1593]~E(x15931,x15932)+E(f750(x15931,x15933,x15934,x15935,x15936),f750(x15932,x15933,x15934,x15935,x15936))
% 202.92/202.79 [1594]~E(x15941,x15942)+E(f750(x15943,x15941,x15944,x15945,x15946),f750(x15943,x15942,x15944,x15945,x15946))
% 202.92/202.79 [1595]~E(x15951,x15952)+E(f750(x15953,x15954,x15951,x15955,x15956),f750(x15953,x15954,x15952,x15955,x15956))
% 202.92/202.79 [1596]~E(x15961,x15962)+E(f750(x15963,x15964,x15965,x15961,x15966),f750(x15963,x15964,x15965,x15962,x15966))
% 202.92/202.79 [1597]~E(x15971,x15972)+E(f750(x15973,x15974,x15975,x15976,x15971),f750(x15973,x15974,x15975,x15976,x15972))
% 202.92/202.79 [1598]~E(x15981,x15982)+E(f21(x15981,x15983,x15984,x15985),f21(x15982,x15983,x15984,x15985))
% 202.92/202.79 [1599]~E(x15991,x15992)+E(f21(x15993,x15991,x15994,x15995),f21(x15993,x15992,x15994,x15995))
% 202.92/202.79 [1600]~E(x16001,x16002)+E(f21(x16003,x16004,x16001,x16005),f21(x16003,x16004,x16002,x16005))
% 202.92/202.79 [1601]~E(x16011,x16012)+E(f21(x16013,x16014,x16015,x16011),f21(x16013,x16014,x16015,x16012))
% 202.92/202.79 [1602]~E(x16021,x16022)+E(f466(x16021,x16023),f466(x16022,x16023))
% 202.92/202.79 [1603]~E(x16031,x16032)+E(f466(x16033,x16031),f466(x16033,x16032))
% 202.92/202.79 [1604]~E(x16041,x16042)+E(f379(x16041,x16043,x16044),f379(x16042,x16043,x16044))
% 202.92/202.79 [1605]~E(x16051,x16052)+E(f379(x16053,x16051,x16054),f379(x16053,x16052,x16054))
% 202.92/202.79 [1606]~E(x16061,x16062)+E(f379(x16063,x16064,x16061),f379(x16063,x16064,x16062))
% 202.92/202.79 [1607]~E(x16071,x16072)+E(f877(x16071,x16073,x16074,x16075),f877(x16072,x16073,x16074,x16075))
% 202.92/202.79 [1608]~E(x16081,x16082)+E(f877(x16083,x16081,x16084,x16085),f877(x16083,x16082,x16084,x16085))
% 202.92/202.79 [1609]~E(x16091,x16092)+E(f877(x16093,x16094,x16091,x16095),f877(x16093,x16094,x16092,x16095))
% 202.92/202.79 [1610]~E(x16101,x16102)+E(f877(x16103,x16104,x16105,x16101),f877(x16103,x16104,x16105,x16102))
% 202.92/202.79 [1611]~E(x16111,x16112)+E(f559(x16111,x16113),f559(x16112,x16113))
% 202.92/202.79 [1612]~E(x16121,x16122)+E(f559(x16123,x16121),f559(x16123,x16122))
% 202.92/202.79 [1613]~E(x16131,x16132)+E(f535(x16131,x16133,x16134,x16135,x16136,x16137,x16138),f535(x16132,x16133,x16134,x16135,x16136,x16137,x16138))
% 202.92/202.79 [1614]~E(x16141,x16142)+E(f535(x16143,x16141,x16144,x16145,x16146,x16147,x16148),f535(x16143,x16142,x16144,x16145,x16146,x16147,x16148))
% 202.92/202.79 [1615]~E(x16151,x16152)+E(f535(x16153,x16154,x16151,x16155,x16156,x16157,x16158),f535(x16153,x16154,x16152,x16155,x16156,x16157,x16158))
% 202.92/202.79 [1616]~E(x16161,x16162)+E(f535(x16163,x16164,x16165,x16161,x16166,x16167,x16168),f535(x16163,x16164,x16165,x16162,x16166,x16167,x16168))
% 202.92/202.79 [1617]~E(x16171,x16172)+E(f535(x16173,x16174,x16175,x16176,x16171,x16177,x16178),f535(x16173,x16174,x16175,x16176,x16172,x16177,x16178))
% 202.92/202.79 [1618]~E(x16181,x16182)+E(f535(x16183,x16184,x16185,x16186,x16187,x16181,x16188),f535(x16183,x16184,x16185,x16186,x16187,x16182,x16188))
% 202.92/202.79 [1619]~E(x16191,x16192)+E(f535(x16193,x16194,x16195,x16196,x16197,x16198,x16191),f535(x16193,x16194,x16195,x16196,x16197,x16198,x16192))
% 202.92/202.79 [1620]~E(x16201,x16202)+E(f599(x16201,x16203,x16204),f599(x16202,x16203,x16204))
% 202.92/202.79 [1621]~E(x16211,x16212)+E(f599(x16213,x16211,x16214),f599(x16213,x16212,x16214))
% 202.92/202.79 [1622]~E(x16221,x16222)+E(f599(x16223,x16224,x16221),f599(x16223,x16224,x16222))
% 202.92/202.79 [1623]~E(x16231,x16232)+E(f655(x16231,x16233,x16234,x16235),f655(x16232,x16233,x16234,x16235))
% 202.92/202.79 [1624]~E(x16241,x16242)+E(f655(x16243,x16241,x16244,x16245),f655(x16243,x16242,x16244,x16245))
% 202.92/202.79 [1625]~E(x16251,x16252)+E(f655(x16253,x16254,x16251,x16255),f655(x16253,x16254,x16252,x16255))
% 202.92/202.79 [1626]~E(x16261,x16262)+E(f655(x16263,x16264,x16265,x16261),f655(x16263,x16264,x16265,x16262))
% 202.92/202.79 [1627]~E(x16271,x16272)+E(f851(x16271,x16273,x16274,x16275,x16276,x16277,x16278,x16279),f851(x16272,x16273,x16274,x16275,x16276,x16277,x16278,x16279))
% 202.92/202.79 [1628]~E(x16281,x16282)+E(f851(x16283,x16281,x16284,x16285,x16286,x16287,x16288,x16289),f851(x16283,x16282,x16284,x16285,x16286,x16287,x16288,x16289))
% 202.92/202.79 [1629]~E(x16291,x16292)+E(f851(x16293,x16294,x16291,x16295,x16296,x16297,x16298,x16299),f851(x16293,x16294,x16292,x16295,x16296,x16297,x16298,x16299))
% 202.92/202.79 [1630]~E(x16301,x16302)+E(f851(x16303,x16304,x16305,x16301,x16306,x16307,x16308,x16309),f851(x16303,x16304,x16305,x16302,x16306,x16307,x16308,x16309))
% 202.92/202.79 [1631]~E(x16311,x16312)+E(f851(x16313,x16314,x16315,x16316,x16311,x16317,x16318,x16319),f851(x16313,x16314,x16315,x16316,x16312,x16317,x16318,x16319))
% 202.92/202.79 [1632]~E(x16321,x16322)+E(f851(x16323,x16324,x16325,x16326,x16327,x16321,x16328,x16329),f851(x16323,x16324,x16325,x16326,x16327,x16322,x16328,x16329))
% 202.92/202.79 [1633]~E(x16331,x16332)+E(f851(x16333,x16334,x16335,x16336,x16337,x16338,x16331,x16339),f851(x16333,x16334,x16335,x16336,x16337,x16338,x16332,x16339))
% 202.92/202.79 [1634]~E(x16341,x16342)+E(f851(x16343,x16344,x16345,x16346,x16347,x16348,x16349,x16341),f851(x16343,x16344,x16345,x16346,x16347,x16348,x16349,x16342))
% 202.92/202.79 [1635]~E(x16351,x16352)+E(f357(x16351,x16353,x16354),f357(x16352,x16353,x16354))
% 202.92/202.79 [1636]~E(x16361,x16362)+E(f357(x16363,x16361,x16364),f357(x16363,x16362,x16364))
% 202.92/202.79 [1637]~E(x16371,x16372)+E(f357(x16373,x16374,x16371),f357(x16373,x16374,x16372))
% 202.92/202.79 [1638]~E(x16381,x16382)+E(f835(x16381,x16383,x16384),f835(x16382,x16383,x16384))
% 202.92/202.79 [1639]~E(x16391,x16392)+E(f835(x16393,x16391,x16394),f835(x16393,x16392,x16394))
% 202.92/202.79 [1640]~E(x16401,x16402)+E(f835(x16403,x16404,x16401),f835(x16403,x16404,x16402))
% 202.92/202.79 [1641]~E(x16411,x16412)+E(f691(x16411,x16413),f691(x16412,x16413))
% 202.92/202.79 [1642]~E(x16421,x16422)+E(f691(x16423,x16421),f691(x16423,x16422))
% 202.92/202.79 [1643]~E(x16431,x16432)+E(f744(x16431,x16433),f744(x16432,x16433))
% 202.92/202.79 [1644]~E(x16441,x16442)+E(f744(x16443,x16441),f744(x16443,x16442))
% 202.92/202.79 [1645]~E(x16451,x16452)+E(f291(x16451,x16453,x16454,x16455,x16456),f291(x16452,x16453,x16454,x16455,x16456))
% 202.92/202.79 [1646]~E(x16461,x16462)+E(f291(x16463,x16461,x16464,x16465,x16466),f291(x16463,x16462,x16464,x16465,x16466))
% 202.92/202.79 [1647]~E(x16471,x16472)+E(f291(x16473,x16474,x16471,x16475,x16476),f291(x16473,x16474,x16472,x16475,x16476))
% 202.92/202.79 [1648]~E(x16481,x16482)+E(f291(x16483,x16484,x16485,x16481,x16486),f291(x16483,x16484,x16485,x16482,x16486))
% 202.92/202.79 [1649]~E(x16491,x16492)+E(f291(x16493,x16494,x16495,x16496,x16491),f291(x16493,x16494,x16495,x16496,x16492))
% 202.92/202.79 [1650]~E(x16501,x16502)+E(f697(x16501,x16503,x16504,x16505,x16506),f697(x16502,x16503,x16504,x16505,x16506))
% 202.92/202.79 [1651]~E(x16511,x16512)+E(f697(x16513,x16511,x16514,x16515,x16516),f697(x16513,x16512,x16514,x16515,x16516))
% 202.92/202.79 [1652]~E(x16521,x16522)+E(f697(x16523,x16524,x16521,x16525,x16526),f697(x16523,x16524,x16522,x16525,x16526))
% 202.92/202.79 [1653]~E(x16531,x16532)+E(f697(x16533,x16534,x16535,x16531,x16536),f697(x16533,x16534,x16535,x16532,x16536))
% 202.92/202.79 [1654]~E(x16541,x16542)+E(f697(x16543,x16544,x16545,x16546,x16541),f697(x16543,x16544,x16545,x16546,x16542))
% 202.92/202.79 [1655]~E(x16551,x16552)+E(f137(x16551,x16553),f137(x16552,x16553))
% 202.92/202.79 [1656]~E(x16561,x16562)+E(f137(x16563,x16561),f137(x16563,x16562))
% 202.92/202.79 [1657]~E(x16571,x16572)+E(f165(x16571,x16573,x16574),f165(x16572,x16573,x16574))
% 202.92/202.79 [1658]~E(x16581,x16582)+E(f165(x16583,x16581,x16584),f165(x16583,x16582,x16584))
% 202.92/202.79 [1659]~E(x16591,x16592)+E(f165(x16593,x16594,x16591),f165(x16593,x16594,x16592))
% 202.92/202.79 [1660]~E(x16601,x16602)+E(f605(x16601,x16603,x16604),f605(x16602,x16603,x16604))
% 202.92/202.79 [1661]~E(x16611,x16612)+E(f605(x16613,x16611,x16614),f605(x16613,x16612,x16614))
% 202.92/202.79 [1662]~E(x16621,x16622)+E(f605(x16623,x16624,x16621),f605(x16623,x16624,x16622))
% 202.92/202.79 [1663]~E(x16631,x16632)+E(f481(x16631,x16633,x16634,x16635),f481(x16632,x16633,x16634,x16635))
% 202.92/202.79 [1664]~E(x16641,x16642)+E(f481(x16643,x16641,x16644,x16645),f481(x16643,x16642,x16644,x16645))
% 202.92/202.79 [1665]~E(x16651,x16652)+E(f481(x16653,x16654,x16651,x16655),f481(x16653,x16654,x16652,x16655))
% 202.92/202.79 [1666]~E(x16661,x16662)+E(f481(x16663,x16664,x16665,x16661),f481(x16663,x16664,x16665,x16662))
% 202.92/202.79 [1667]~E(x16671,x16672)+E(f517(x16671,x16673,x16674,x16675),f517(x16672,x16673,x16674,x16675))
% 202.92/202.79 [1668]~E(x16681,x16682)+E(f517(x16683,x16681,x16684,x16685),f517(x16683,x16682,x16684,x16685))
% 202.92/202.79 [1669]~E(x16691,x16692)+E(f517(x16693,x16694,x16691,x16695),f517(x16693,x16694,x16692,x16695))
% 202.92/202.79 [1670]~E(x16701,x16702)+E(f517(x16703,x16704,x16705,x16701),f517(x16703,x16704,x16705,x16702))
% 202.92/202.79 [1671]~E(x16711,x16712)+E(f497(x16711,x16713,x16714),f497(x16712,x16713,x16714))
% 202.92/202.79 [1672]~E(x16721,x16722)+E(f497(x16723,x16721,x16724),f497(x16723,x16722,x16724))
% 202.92/202.79 [1673]~E(x16731,x16732)+E(f497(x16733,x16734,x16731),f497(x16733,x16734,x16732))
% 202.92/202.79 [1674]~E(x16741,x16742)+E(f492(x16741,x16743,x16744,x16745,x16746,x16747,x16748),f492(x16742,x16743,x16744,x16745,x16746,x16747,x16748))
% 202.92/202.79 [1675]~E(x16751,x16752)+E(f492(x16753,x16751,x16754,x16755,x16756,x16757,x16758),f492(x16753,x16752,x16754,x16755,x16756,x16757,x16758))
% 202.92/202.79 [1676]~E(x16761,x16762)+E(f492(x16763,x16764,x16761,x16765,x16766,x16767,x16768),f492(x16763,x16764,x16762,x16765,x16766,x16767,x16768))
% 202.92/202.79 [1677]~E(x16771,x16772)+E(f492(x16773,x16774,x16775,x16771,x16776,x16777,x16778),f492(x16773,x16774,x16775,x16772,x16776,x16777,x16778))
% 202.92/202.79 [1678]~E(x16781,x16782)+E(f492(x16783,x16784,x16785,x16786,x16781,x16787,x16788),f492(x16783,x16784,x16785,x16786,x16782,x16787,x16788))
% 202.92/202.79 [1679]~E(x16791,x16792)+E(f492(x16793,x16794,x16795,x16796,x16797,x16791,x16798),f492(x16793,x16794,x16795,x16796,x16797,x16792,x16798))
% 202.92/202.79 [1680]~E(x16801,x16802)+E(f492(x16803,x16804,x16805,x16806,x16807,x16808,x16801),f492(x16803,x16804,x16805,x16806,x16807,x16808,x16802))
% 202.92/202.79 [1681]~E(x16811,x16812)+E(f828(x16811,x16813),f828(x16812,x16813))
% 202.92/202.79 [1682]~E(x16821,x16822)+E(f828(x16823,x16821),f828(x16823,x16822))
% 202.92/202.79 [1683]~E(x16831,x16832)+E(f529(x16831,x16833,x16834,x16835,x16836),f529(x16832,x16833,x16834,x16835,x16836))
% 202.92/202.79 [1684]~E(x16841,x16842)+E(f529(x16843,x16841,x16844,x16845,x16846),f529(x16843,x16842,x16844,x16845,x16846))
% 202.92/202.79 [1685]~E(x16851,x16852)+E(f529(x16853,x16854,x16851,x16855,x16856),f529(x16853,x16854,x16852,x16855,x16856))
% 202.92/202.79 [1686]~E(x16861,x16862)+E(f529(x16863,x16864,x16865,x16861,x16866),f529(x16863,x16864,x16865,x16862,x16866))
% 202.92/202.79 [1687]~E(x16871,x16872)+E(f529(x16873,x16874,x16875,x16876,x16871),f529(x16873,x16874,x16875,x16876,x16872))
% 202.92/202.79 [1688]~E(x16881,x16882)+E(f633(x16881,x16883,x16884,x16885,x16886),f633(x16882,x16883,x16884,x16885,x16886))
% 202.92/202.79 [1689]~E(x16891,x16892)+E(f633(x16893,x16891,x16894,x16895,x16896),f633(x16893,x16892,x16894,x16895,x16896))
% 202.92/202.79 [1690]~E(x16901,x16902)+E(f633(x16903,x16904,x16901,x16905,x16906),f633(x16903,x16904,x16902,x16905,x16906))
% 202.92/202.79 [1691]~E(x16911,x16912)+E(f633(x16913,x16914,x16915,x16911,x16916),f633(x16913,x16914,x16915,x16912,x16916))
% 202.92/202.79 [1692]~E(x16921,x16922)+E(f633(x16923,x16924,x16925,x16926,x16921),f633(x16923,x16924,x16925,x16926,x16922))
% 202.92/202.79 [1693]~E(x16931,x16932)+E(f444(x16931,x16933,x16934,x16935,x16936,x16937,x16938),f444(x16932,x16933,x16934,x16935,x16936,x16937,x16938))
% 202.92/202.79 [1694]~E(x16941,x16942)+E(f444(x16943,x16941,x16944,x16945,x16946,x16947,x16948),f444(x16943,x16942,x16944,x16945,x16946,x16947,x16948))
% 202.92/202.79 [1695]~E(x16951,x16952)+E(f444(x16953,x16954,x16951,x16955,x16956,x16957,x16958),f444(x16953,x16954,x16952,x16955,x16956,x16957,x16958))
% 202.92/202.79 [1696]~E(x16961,x16962)+E(f444(x16963,x16964,x16965,x16961,x16966,x16967,x16968),f444(x16963,x16964,x16965,x16962,x16966,x16967,x16968))
% 202.92/202.79 [1697]~E(x16971,x16972)+E(f444(x16973,x16974,x16975,x16976,x16971,x16977,x16978),f444(x16973,x16974,x16975,x16976,x16972,x16977,x16978))
% 202.92/202.79 [1698]~E(x16981,x16982)+E(f444(x16983,x16984,x16985,x16986,x16987,x16981,x16988),f444(x16983,x16984,x16985,x16986,x16987,x16982,x16988))
% 202.92/202.79 [1699]~E(x16991,x16992)+E(f444(x16993,x16994,x16995,x16996,x16997,x16998,x16991),f444(x16993,x16994,x16995,x16996,x16997,x16998,x16992))
% 202.92/202.79 [1700]~E(x17001,x17002)+E(f49(x17001,x17003,x17004),f49(x17002,x17003,x17004))
% 202.92/202.79 [1701]~E(x17011,x17012)+E(f49(x17013,x17011,x17014),f49(x17013,x17012,x17014))
% 202.92/202.79 [1702]~E(x17021,x17022)+E(f49(x17023,x17024,x17021),f49(x17023,x17024,x17022))
% 202.92/202.79 [1703]~E(x17031,x17032)+E(f256(x17031,x17033,x17034),f256(x17032,x17033,x17034))
% 202.92/202.79 [1704]~E(x17041,x17042)+E(f256(x17043,x17041,x17044),f256(x17043,x17042,x17044))
% 202.92/202.79 [1705]~E(x17051,x17052)+E(f256(x17053,x17054,x17051),f256(x17053,x17054,x17052))
% 202.92/202.79 [1706]~E(x17061,x17062)+E(f841(x17061,x17063,x17064,x17065),f841(x17062,x17063,x17064,x17065))
% 202.92/202.79 [1707]~E(x17071,x17072)+E(f841(x17073,x17071,x17074,x17075),f841(x17073,x17072,x17074,x17075))
% 202.92/202.79 [1708]~E(x17081,x17082)+E(f841(x17083,x17084,x17081,x17085),f841(x17083,x17084,x17082,x17085))
% 202.92/202.79 [1709]~E(x17091,x17092)+E(f841(x17093,x17094,x17095,x17091),f841(x17093,x17094,x17095,x17092))
% 202.92/202.79 [1710]~E(x17101,x17102)+E(f428(x17101,x17103,x17104,x17105),f428(x17102,x17103,x17104,x17105))
% 202.92/202.79 [1711]~E(x17111,x17112)+E(f428(x17113,x17111,x17114,x17115),f428(x17113,x17112,x17114,x17115))
% 202.92/202.79 [1712]~E(x17121,x17122)+E(f428(x17123,x17124,x17121,x17125),f428(x17123,x17124,x17122,x17125))
% 202.92/202.79 [1713]~E(x17131,x17132)+E(f428(x17133,x17134,x17135,x17131),f428(x17133,x17134,x17135,x17132))
% 202.92/202.79 [1714]~E(x17141,x17142)+E(f257(x17141,x17143),f257(x17142,x17143))
% 202.92/202.79 [1715]~E(x17151,x17152)+E(f257(x17153,x17151),f257(x17153,x17152))
% 202.92/202.79 [1716]~E(x17161,x17162)+E(f412(x17161,x17163,x17164),f412(x17162,x17163,x17164))
% 202.92/202.79 [1717]~E(x17171,x17172)+E(f412(x17173,x17171,x17174),f412(x17173,x17172,x17174))
% 202.92/202.79 [1718]~E(x17181,x17182)+E(f412(x17183,x17184,x17181),f412(x17183,x17184,x17182))
% 202.92/202.79 [1719]~E(x17191,x17192)+E(f789(x17191,x17193,x17194,x17195,x17196,x17197,x17198),f789(x17192,x17193,x17194,x17195,x17196,x17197,x17198))
% 202.92/202.79 [1720]~E(x17201,x17202)+E(f789(x17203,x17201,x17204,x17205,x17206,x17207,x17208),f789(x17203,x17202,x17204,x17205,x17206,x17207,x17208))
% 202.92/202.79 [1721]~E(x17211,x17212)+E(f789(x17213,x17214,x17211,x17215,x17216,x17217,x17218),f789(x17213,x17214,x17212,x17215,x17216,x17217,x17218))
% 202.92/202.79 [1722]~E(x17221,x17222)+E(f789(x17223,x17224,x17225,x17221,x17226,x17227,x17228),f789(x17223,x17224,x17225,x17222,x17226,x17227,x17228))
% 202.92/202.79 [1723]~E(x17231,x17232)+E(f789(x17233,x17234,x17235,x17236,x17231,x17237,x17238),f789(x17233,x17234,x17235,x17236,x17232,x17237,x17238))
% 202.92/202.79 [1724]~E(x17241,x17242)+E(f789(x17243,x17244,x17245,x17246,x17247,x17241,x17248),f789(x17243,x17244,x17245,x17246,x17247,x17242,x17248))
% 202.92/202.79 [1725]~E(x17251,x17252)+E(f789(x17253,x17254,x17255,x17256,x17257,x17258,x17251),f789(x17253,x17254,x17255,x17256,x17257,x17258,x17252))
% 202.92/202.79 [1726]~E(x17261,x17262)+E(f348(x17261),f348(x17262))
% 202.92/202.79 [1727]~E(x17271,x17272)+E(f581(x17271,x17273,x17274,x17275),f581(x17272,x17273,x17274,x17275))
% 202.92/202.79 [1728]~E(x17281,x17282)+E(f581(x17283,x17281,x17284,x17285),f581(x17283,x17282,x17284,x17285))
% 202.92/202.79 [1729]~E(x17291,x17292)+E(f581(x17293,x17294,x17291,x17295),f581(x17293,x17294,x17292,x17295))
% 202.92/202.79 [1730]~E(x17301,x17302)+E(f581(x17303,x17304,x17305,x17301),f581(x17303,x17304,x17305,x17302))
% 202.92/202.79 [1731]~E(x17311,x17312)+E(f577(x17311,x17313),f577(x17312,x17313))
% 202.92/202.79 [1732]~E(x17321,x17322)+E(f577(x17323,x17321),f577(x17323,x17322))
% 202.92/202.79 [1733]~E(x17331,x17332)+E(f702(x17331,x17333),f702(x17332,x17333))
% 202.92/202.79 [1734]~E(x17341,x17342)+E(f702(x17343,x17341),f702(x17343,x17342))
% 202.92/202.79 [1735]~E(x17351,x17352)+E(f596(x17351,x17353,x17354,x17355,x17356,x17357),f596(x17352,x17353,x17354,x17355,x17356,x17357))
% 202.92/202.79 [1736]~E(x17361,x17362)+E(f596(x17363,x17361,x17364,x17365,x17366,x17367),f596(x17363,x17362,x17364,x17365,x17366,x17367))
% 202.92/202.79 [1737]~E(x17371,x17372)+E(f596(x17373,x17374,x17371,x17375,x17376,x17377),f596(x17373,x17374,x17372,x17375,x17376,x17377))
% 202.92/202.79 [1738]~E(x17381,x17382)+E(f596(x17383,x17384,x17385,x17381,x17386,x17387),f596(x17383,x17384,x17385,x17382,x17386,x17387))
% 202.92/202.79 [1739]~E(x17391,x17392)+E(f596(x17393,x17394,x17395,x17396,x17391,x17397),f596(x17393,x17394,x17395,x17396,x17392,x17397))
% 202.92/202.79 [1740]~E(x17401,x17402)+E(f596(x17403,x17404,x17405,x17406,x17407,x17401),f596(x17403,x17404,x17405,x17406,x17407,x17402))
% 202.92/202.79 [1741]~E(x17411,x17412)+E(f569(x17411,x17413),f569(x17412,x17413))
% 202.92/202.79 [1742]~E(x17421,x17422)+E(f569(x17423,x17421),f569(x17423,x17422))
% 202.92/202.79 [1743]~E(x17431,x17432)+E(f450(x17431,x17433,x17434),f450(x17432,x17433,x17434))
% 202.92/202.79 [1744]~E(x17441,x17442)+E(f450(x17443,x17441,x17444),f450(x17443,x17442,x17444))
% 202.92/202.79 [1745]~E(x17451,x17452)+E(f450(x17453,x17454,x17451),f450(x17453,x17454,x17452))
% 202.92/202.79 [1746]~E(x17461,x17462)+E(f905(x17461,x17463),f905(x17462,x17463))
% 202.92/202.79 [1747]~E(x17471,x17472)+E(f905(x17473,x17471),f905(x17473,x17472))
% 202.92/202.79 [1748]~E(x17481,x17482)+E(f113(x17481,x17483,x17484,x17485),f113(x17482,x17483,x17484,x17485))
% 202.92/202.79 [1749]~E(x17491,x17492)+E(f113(x17493,x17491,x17494,x17495),f113(x17493,x17492,x17494,x17495))
% 202.92/202.79 [1750]~E(x17501,x17502)+E(f113(x17503,x17504,x17501,x17505),f113(x17503,x17504,x17502,x17505))
% 202.92/202.79 [1751]~E(x17511,x17512)+E(f113(x17513,x17514,x17515,x17511),f113(x17513,x17514,x17515,x17512))
% 202.92/202.79 [1752]~E(x17521,x17522)+E(f584(x17521,x17523,x17524,x17525),f584(x17522,x17523,x17524,x17525))
% 202.92/202.79 [1753]~E(x17531,x17532)+E(f584(x17533,x17531,x17534,x17535),f584(x17533,x17532,x17534,x17535))
% 202.92/202.79 [1754]~E(x17541,x17542)+E(f584(x17543,x17544,x17541,x17545),f584(x17543,x17544,x17542,x17545))
% 202.92/202.79 [1755]~E(x17551,x17552)+E(f584(x17553,x17554,x17555,x17551),f584(x17553,x17554,x17555,x17552))
% 202.92/202.79 [1756]~E(x17561,x17562)+E(f200(x17561,x17563,x17564,x17565),f200(x17562,x17563,x17564,x17565))
% 202.92/202.79 [1757]~E(x17571,x17572)+E(f200(x17573,x17571,x17574,x17575),f200(x17573,x17572,x17574,x17575))
% 202.92/202.79 [1758]~E(x17581,x17582)+E(f200(x17583,x17584,x17581,x17585),f200(x17583,x17584,x17582,x17585))
% 202.92/202.79 [1759]~E(x17591,x17592)+E(f200(x17593,x17594,x17595,x17591),f200(x17593,x17594,x17595,x17592))
% 202.92/202.79 [1760]~E(x17601,x17602)+E(f489(x17601,x17603,x17604,x17605,x17606,x17607,x17608),f489(x17602,x17603,x17604,x17605,x17606,x17607,x17608))
% 202.92/202.79 [1761]~E(x17611,x17612)+E(f489(x17613,x17611,x17614,x17615,x17616,x17617,x17618),f489(x17613,x17612,x17614,x17615,x17616,x17617,x17618))
% 202.92/202.79 [1762]~E(x17621,x17622)+E(f489(x17623,x17624,x17621,x17625,x17626,x17627,x17628),f489(x17623,x17624,x17622,x17625,x17626,x17627,x17628))
% 202.92/202.79 [1763]~E(x17631,x17632)+E(f489(x17633,x17634,x17635,x17631,x17636,x17637,x17638),f489(x17633,x17634,x17635,x17632,x17636,x17637,x17638))
% 202.92/202.79 [1764]~E(x17641,x17642)+E(f489(x17643,x17644,x17645,x17646,x17641,x17647,x17648),f489(x17643,x17644,x17645,x17646,x17642,x17647,x17648))
% 202.92/202.79 [1765]~E(x17651,x17652)+E(f489(x17653,x17654,x17655,x17656,x17657,x17651,x17658),f489(x17653,x17654,x17655,x17656,x17657,x17652,x17658))
% 202.92/202.79 [1766]~E(x17661,x17662)+E(f489(x17663,x17664,x17665,x17666,x17667,x17668,x17661),f489(x17663,x17664,x17665,x17666,x17667,x17668,x17662))
% 202.92/202.79 [1767]~E(x17671,x17672)+E(f815(x17671,x17673),f815(x17672,x17673))
% 202.92/202.79 [1768]~E(x17681,x17682)+E(f815(x17683,x17681),f815(x17683,x17682))
% 202.92/202.79 [1769]~E(x17691,x17692)+E(f115(x17691),f115(x17692))
% 202.92/202.79 [1770]~E(x17701,x17702)+E(f217(x17701,x17703,x17704,x17705,x17706),f217(x17702,x17703,x17704,x17705,x17706))
% 202.92/202.79 [1771]~E(x17711,x17712)+E(f217(x17713,x17711,x17714,x17715,x17716),f217(x17713,x17712,x17714,x17715,x17716))
% 202.92/202.79 [1772]~E(x17721,x17722)+E(f217(x17723,x17724,x17721,x17725,x17726),f217(x17723,x17724,x17722,x17725,x17726))
% 202.92/202.79 [1773]~E(x17731,x17732)+E(f217(x17733,x17734,x17735,x17731,x17736),f217(x17733,x17734,x17735,x17732,x17736))
% 202.92/202.79 [1774]~E(x17741,x17742)+E(f217(x17743,x17744,x17745,x17746,x17741),f217(x17743,x17744,x17745,x17746,x17742))
% 202.92/202.79 [1775]~E(x17751,x17752)+E(f880(x17751,x17753,x17754,x17755,x17756),f880(x17752,x17753,x17754,x17755,x17756))
% 202.92/202.79 [1776]~E(x17761,x17762)+E(f880(x17763,x17761,x17764,x17765,x17766),f880(x17763,x17762,x17764,x17765,x17766))
% 202.92/202.79 [1777]~E(x17771,x17772)+E(f880(x17773,x17774,x17771,x17775,x17776),f880(x17773,x17774,x17772,x17775,x17776))
% 202.92/202.79 [1778]~E(x17781,x17782)+E(f880(x17783,x17784,x17785,x17781,x17786),f880(x17783,x17784,x17785,x17782,x17786))
% 202.92/202.79 [1779]~E(x17791,x17792)+E(f880(x17793,x17794,x17795,x17796,x17791),f880(x17793,x17794,x17795,x17796,x17792))
% 202.92/202.79 [1780]~E(x17801,x17802)+E(f621(x17801,x17803,x17804),f621(x17802,x17803,x17804))
% 202.92/202.79 [1781]~E(x17811,x17812)+E(f621(x17813,x17811,x17814),f621(x17813,x17812,x17814))
% 202.92/202.79 [1782]~E(x17821,x17822)+E(f621(x17823,x17824,x17821),f621(x17823,x17824,x17822))
% 202.92/202.79 [1783]~E(x17831,x17832)+E(f434(x17831,x17833,x17834,x17835),f434(x17832,x17833,x17834,x17835))
% 202.92/202.79 [1784]~E(x17841,x17842)+E(f434(x17843,x17841,x17844,x17845),f434(x17843,x17842,x17844,x17845))
% 202.92/202.79 [1785]~E(x17851,x17852)+E(f434(x17853,x17854,x17851,x17855),f434(x17853,x17854,x17852,x17855))
% 202.92/202.79 [1786]~E(x17861,x17862)+E(f434(x17863,x17864,x17865,x17861),f434(x17863,x17864,x17865,x17862))
% 202.92/202.79 [1787]~E(x17871,x17872)+E(f856(x17871,x17873,x17874,x17875,x17876,x17877,x17878),f856(x17872,x17873,x17874,x17875,x17876,x17877,x17878))
% 202.92/202.79 [1788]~E(x17881,x17882)+E(f856(x17883,x17881,x17884,x17885,x17886,x17887,x17888),f856(x17883,x17882,x17884,x17885,x17886,x17887,x17888))
% 202.92/202.79 [1789]~E(x17891,x17892)+E(f856(x17893,x17894,x17891,x17895,x17896,x17897,x17898),f856(x17893,x17894,x17892,x17895,x17896,x17897,x17898))
% 202.92/202.79 [1790]~E(x17901,x17902)+E(f856(x17903,x17904,x17905,x17901,x17906,x17907,x17908),f856(x17903,x17904,x17905,x17902,x17906,x17907,x17908))
% 202.92/202.79 [1791]~E(x17911,x17912)+E(f856(x17913,x17914,x17915,x17916,x17911,x17917,x17918),f856(x17913,x17914,x17915,x17916,x17912,x17917,x17918))
% 202.92/202.79 [1792]~E(x17921,x17922)+E(f856(x17923,x17924,x17925,x17926,x17927,x17921,x17928),f856(x17923,x17924,x17925,x17926,x17927,x17922,x17928))
% 202.92/202.79 [1793]~E(x17931,x17932)+E(f856(x17933,x17934,x17935,x17936,x17937,x17938,x17931),f856(x17933,x17934,x17935,x17936,x17937,x17938,x17932))
% 202.92/202.79 [1794]~E(x17941,x17942)+E(f589(x17941,x17943,x17944,x17945),f589(x17942,x17943,x17944,x17945))
% 202.92/202.79 [1795]~E(x17951,x17952)+E(f589(x17953,x17951,x17954,x17955),f589(x17953,x17952,x17954,x17955))
% 202.92/202.79 [1796]~E(x17961,x17962)+E(f589(x17963,x17964,x17961,x17965),f589(x17963,x17964,x17962,x17965))
% 202.92/202.79 [1797]~E(x17971,x17972)+E(f589(x17973,x17974,x17975,x17971),f589(x17973,x17974,x17975,x17972))
% 202.92/202.79 [1798]~E(x17981,x17982)+E(f721(x17981,x17983,x17984),f721(x17982,x17983,x17984))
% 202.92/202.79 [1799]~E(x17991,x17992)+E(f721(x17993,x17991,x17994),f721(x17993,x17992,x17994))
% 202.92/202.79 [1800]~E(x18001,x18002)+E(f721(x18003,x18004,x18001),f721(x18003,x18004,x18002))
% 202.92/202.79 [1801]~E(x18011,x18012)+E(f781(x18011,x18013,x18014,x18015),f781(x18012,x18013,x18014,x18015))
% 202.92/202.79 [1802]~E(x18021,x18022)+E(f781(x18023,x18021,x18024,x18025),f781(x18023,x18022,x18024,x18025))
% 202.92/202.79 [1803]~E(x18031,x18032)+E(f781(x18033,x18034,x18031,x18035),f781(x18033,x18034,x18032,x18035))
% 202.92/202.79 [1804]~E(x18041,x18042)+E(f781(x18043,x18044,x18045,x18041),f781(x18043,x18044,x18045,x18042))
% 202.92/202.79 [1805]~E(x18051,x18052)+E(f362(x18051,x18053,x18054,x18055,x18056),f362(x18052,x18053,x18054,x18055,x18056))
% 202.92/202.79 [1806]~E(x18061,x18062)+E(f362(x18063,x18061,x18064,x18065,x18066),f362(x18063,x18062,x18064,x18065,x18066))
% 202.92/202.79 [1807]~E(x18071,x18072)+E(f362(x18073,x18074,x18071,x18075,x18076),f362(x18073,x18074,x18072,x18075,x18076))
% 202.92/202.79 [1808]~E(x18081,x18082)+E(f362(x18083,x18084,x18085,x18081,x18086),f362(x18083,x18084,x18085,x18082,x18086))
% 202.92/202.79 [1809]~E(x18091,x18092)+E(f362(x18093,x18094,x18095,x18096,x18091),f362(x18093,x18094,x18095,x18096,x18092))
% 202.92/202.79 [1810]~E(x18101,x18102)+E(f473(x18101,x18103,x18104),f473(x18102,x18103,x18104))
% 202.92/202.79 [1811]~E(x18111,x18112)+E(f473(x18113,x18111,x18114),f473(x18113,x18112,x18114))
% 202.92/202.79 [1812]~E(x18121,x18122)+E(f473(x18123,x18124,x18121),f473(x18123,x18124,x18122))
% 202.92/202.79 [1813]~E(x18131,x18132)+E(f899(x18131,x18133,x18134,x18135),f899(x18132,x18133,x18134,x18135))
% 202.92/202.79 [1814]~E(x18141,x18142)+E(f899(x18143,x18141,x18144,x18145),f899(x18143,x18142,x18144,x18145))
% 202.92/202.79 [1815]~E(x18151,x18152)+E(f899(x18153,x18154,x18151,x18155),f899(x18153,x18154,x18152,x18155))
% 202.92/202.79 [1816]~E(x18161,x18162)+E(f899(x18163,x18164,x18165,x18161),f899(x18163,x18164,x18165,x18162))
% 202.92/202.79 [1817]~E(x18171,x18172)+E(f906(x18171,x18173,x18174,x18175),f906(x18172,x18173,x18174,x18175))
% 202.92/202.79 [1818]~E(x18181,x18182)+E(f906(x18183,x18181,x18184,x18185),f906(x18183,x18182,x18184,x18185))
% 202.92/202.79 [1819]~E(x18191,x18192)+E(f906(x18193,x18194,x18191,x18195),f906(x18193,x18194,x18192,x18195))
% 202.92/202.79 [1820]~E(x18201,x18202)+E(f906(x18203,x18204,x18205,x18201),f906(x18203,x18204,x18205,x18202))
% 202.92/202.79 [1821]~E(x18211,x18212)+E(f722(x18211,x18213),f722(x18212,x18213))
% 202.92/202.79 [1822]~E(x18221,x18222)+E(f722(x18223,x18221),f722(x18223,x18222))
% 202.92/202.79 [1823]~E(x18231,x18232)+E(f36(x18231),f36(x18232))
% 202.92/202.79 [1824]~E(x18241,x18242)+E(f718(x18241,x18243,x18244),f718(x18242,x18243,x18244))
% 202.92/202.79 [1825]~E(x18251,x18252)+E(f718(x18253,x18251,x18254),f718(x18253,x18252,x18254))
% 202.92/202.79 [1826]~E(x18261,x18262)+E(f718(x18263,x18264,x18261),f718(x18263,x18264,x18262))
% 202.92/202.79 [1827]~E(x18271,x18272)+E(f794(x18271,x18273,x18274,x18275,x18276,x18277,x18278),f794(x18272,x18273,x18274,x18275,x18276,x18277,x18278))
% 202.92/202.79 [1828]~E(x18281,x18282)+E(f794(x18283,x18281,x18284,x18285,x18286,x18287,x18288),f794(x18283,x18282,x18284,x18285,x18286,x18287,x18288))
% 202.92/202.79 [1829]~E(x18291,x18292)+E(f794(x18293,x18294,x18291,x18295,x18296,x18297,x18298),f794(x18293,x18294,x18292,x18295,x18296,x18297,x18298))
% 202.92/202.79 [1830]~E(x18301,x18302)+E(f794(x18303,x18304,x18305,x18301,x18306,x18307,x18308),f794(x18303,x18304,x18305,x18302,x18306,x18307,x18308))
% 202.92/202.79 [1831]~E(x18311,x18312)+E(f794(x18313,x18314,x18315,x18316,x18311,x18317,x18318),f794(x18313,x18314,x18315,x18316,x18312,x18317,x18318))
% 202.92/202.79 [1832]~E(x18321,x18322)+E(f794(x18323,x18324,x18325,x18326,x18327,x18321,x18328),f794(x18323,x18324,x18325,x18326,x18327,x18322,x18328))
% 202.92/202.79 [1833]~E(x18331,x18332)+E(f794(x18333,x18334,x18335,x18336,x18337,x18338,x18331),f794(x18333,x18334,x18335,x18336,x18337,x18338,x18332))
% 202.92/202.79 [1834]~E(x18341,x18342)+E(f601(x18341,x18343),f601(x18342,x18343))
% 202.92/202.79 [1835]~E(x18351,x18352)+E(f601(x18353,x18351),f601(x18353,x18352))
% 202.92/202.79 [1836]~E(x18361,x18362)+E(f745(x18361,x18363,x18364,x18365),f745(x18362,x18363,x18364,x18365))
% 202.92/202.79 [1837]~E(x18371,x18372)+E(f745(x18373,x18371,x18374,x18375),f745(x18373,x18372,x18374,x18375))
% 202.92/202.79 [1838]~E(x18381,x18382)+E(f745(x18383,x18384,x18381,x18385),f745(x18383,x18384,x18382,x18385))
% 202.92/202.79 [1839]~E(x18391,x18392)+E(f745(x18393,x18394,x18395,x18391),f745(x18393,x18394,x18395,x18392))
% 202.92/202.79 [1840]~E(x18401,x18402)+E(f910(x18401,x18403,x18404,x18405),f910(x18402,x18403,x18404,x18405))
% 202.92/202.79 [1841]~E(x18411,x18412)+E(f910(x18413,x18411,x18414,x18415),f910(x18413,x18412,x18414,x18415))
% 202.92/202.79 [1842]~E(x18421,x18422)+E(f910(x18423,x18424,x18421,x18425),f910(x18423,x18424,x18422,x18425))
% 202.92/202.79 [1843]~E(x18431,x18432)+E(f910(x18433,x18434,x18435,x18431),f910(x18433,x18434,x18435,x18432))
% 202.92/202.79 [1844]~E(x18441,x18442)+E(f23(x18441,x18443),f23(x18442,x18443))
% 202.92/202.79 [1845]~E(x18451,x18452)+E(f23(x18453,x18451),f23(x18453,x18452))
% 202.92/202.79 [1846]~E(x18461,x18462)+E(f609(x18461,x18463,x18464,x18465),f609(x18462,x18463,x18464,x18465))
% 202.92/202.79 [1847]~E(x18471,x18472)+E(f609(x18473,x18471,x18474,x18475),f609(x18473,x18472,x18474,x18475))
% 202.92/202.79 [1848]~E(x18481,x18482)+E(f609(x18483,x18484,x18481,x18485),f609(x18483,x18484,x18482,x18485))
% 202.92/202.79 [1849]~E(x18491,x18492)+E(f609(x18493,x18494,x18495,x18491),f609(x18493,x18494,x18495,x18492))
% 202.92/202.79 [1850]~E(x18501,x18502)+E(f465(x18501,x18503),f465(x18502,x18503))
% 202.92/202.79 [1851]~E(x18511,x18512)+E(f465(x18513,x18511),f465(x18513,x18512))
% 202.92/202.79 [1852]~E(x18521,x18522)+E(f350(x18521,x18523),f350(x18522,x18523))
% 202.92/202.79 [1853]~E(x18531,x18532)+E(f350(x18533,x18531),f350(x18533,x18532))
% 202.92/202.79 [1854]~E(x18541,x18542)+E(f882(x18541,x18543),f882(x18542,x18543))
% 202.92/202.79 [1855]~E(x18551,x18552)+E(f882(x18553,x18551),f882(x18553,x18552))
% 202.92/202.79 [1856]~E(x18561,x18562)+E(f392(x18561,x18563),f392(x18562,x18563))
% 202.92/202.79 [1857]~E(x18571,x18572)+E(f392(x18573,x18571),f392(x18573,x18572))
% 202.92/202.79 [1858]~E(x18581,x18582)+E(f192(x18581),f192(x18582))
% 202.92/202.79 [1859]~E(x18591,x18592)+E(f683(x18591,x18593,x18594,x18595,x18596),f683(x18592,x18593,x18594,x18595,x18596))
% 202.92/202.79 [1860]~E(x18601,x18602)+E(f683(x18603,x18601,x18604,x18605,x18606),f683(x18603,x18602,x18604,x18605,x18606))
% 202.92/202.79 [1861]~E(x18611,x18612)+E(f683(x18613,x18614,x18611,x18615,x18616),f683(x18613,x18614,x18612,x18615,x18616))
% 202.92/202.79 [1862]~E(x18621,x18622)+E(f683(x18623,x18624,x18625,x18621,x18626),f683(x18623,x18624,x18625,x18622,x18626))
% 202.92/202.79 [1863]~E(x18631,x18632)+E(f683(x18633,x18634,x18635,x18636,x18631),f683(x18633,x18634,x18635,x18636,x18632))
% 202.92/202.79 [1864]~E(x18641,x18642)+E(f403(x18641,x18643,x18644),f403(x18642,x18643,x18644))
% 202.92/202.79 [1865]~E(x18651,x18652)+E(f403(x18653,x18651,x18654),f403(x18653,x18652,x18654))
% 202.92/202.79 [1866]~E(x18661,x18662)+E(f403(x18663,x18664,x18661),f403(x18663,x18664,x18662))
% 202.92/202.79 [1867]~E(x18671,x18672)+E(f752(x18671,x18673,x18674,x18675,x18676,x18677,x18678),f752(x18672,x18673,x18674,x18675,x18676,x18677,x18678))
% 202.92/202.79 [1868]~E(x18681,x18682)+E(f752(x18683,x18681,x18684,x18685,x18686,x18687,x18688),f752(x18683,x18682,x18684,x18685,x18686,x18687,x18688))
% 202.92/202.79 [1869]~E(x18691,x18692)+E(f752(x18693,x18694,x18691,x18695,x18696,x18697,x18698),f752(x18693,x18694,x18692,x18695,x18696,x18697,x18698))
% 202.92/202.79 [1870]~E(x18701,x18702)+E(f752(x18703,x18704,x18705,x18701,x18706,x18707,x18708),f752(x18703,x18704,x18705,x18702,x18706,x18707,x18708))
% 202.92/202.79 [1871]~E(x18711,x18712)+E(f752(x18713,x18714,x18715,x18716,x18711,x18717,x18718),f752(x18713,x18714,x18715,x18716,x18712,x18717,x18718))
% 202.92/202.79 [1872]~E(x18721,x18722)+E(f752(x18723,x18724,x18725,x18726,x18727,x18721,x18728),f752(x18723,x18724,x18725,x18726,x18727,x18722,x18728))
% 202.92/202.79 [1873]~E(x18731,x18732)+E(f752(x18733,x18734,x18735,x18736,x18737,x18738,x18731),f752(x18733,x18734,x18735,x18736,x18737,x18738,x18732))
% 202.92/202.79 [1874]~E(x18741,x18742)+E(f193(x18741,x18743),f193(x18742,x18743))
% 202.92/202.79 [1875]~E(x18751,x18752)+E(f193(x18753,x18751),f193(x18753,x18752))
% 202.92/202.79 [1876]~E(x18761,x18762)+E(f500(x18761,x18763,x18764),f500(x18762,x18763,x18764))
% 202.92/202.79 [1877]~E(x18771,x18772)+E(f500(x18773,x18771,x18774),f500(x18773,x18772,x18774))
% 202.92/202.79 [1878]~E(x18781,x18782)+E(f500(x18783,x18784,x18781),f500(x18783,x18784,x18782))
% 202.92/202.79 [1879]~E(x18791,x18792)+E(f382(x18791,x18793),f382(x18792,x18793))
% 202.92/202.79 [1880]~E(x18801,x18802)+E(f382(x18803,x18801),f382(x18803,x18802))
% 202.92/202.79 [1881]~E(x18811,x18812)+E(f726(x18811,x18813,x18814),f726(x18812,x18813,x18814))
% 202.92/202.79 [1882]~E(x18821,x18822)+E(f726(x18823,x18821,x18824),f726(x18823,x18822,x18824))
% 202.92/202.79 [1883]~E(x18831,x18832)+E(f726(x18833,x18834,x18831),f726(x18833,x18834,x18832))
% 202.92/202.79 [1884]~E(x18841,x18842)+E(f474(x18841,x18843,x18844,x18845),f474(x18842,x18843,x18844,x18845))
% 202.92/202.79 [1885]~E(x18851,x18852)+E(f474(x18853,x18851,x18854,x18855),f474(x18853,x18852,x18854,x18855))
% 202.92/202.79 [1886]~E(x18861,x18862)+E(f474(x18863,x18864,x18861,x18865),f474(x18863,x18864,x18862,x18865))
% 202.92/202.79 [1887]~E(x18871,x18872)+E(f474(x18873,x18874,x18875,x18871),f474(x18873,x18874,x18875,x18872))
% 202.92/202.79 [1888]~E(x18881,x18882)+E(f35(x18881),f35(x18882))
% 202.92/202.79 [1889]~E(x18891,x18892)+E(f108(x18891,x18893,x18894),f108(x18892,x18893,x18894))
% 202.92/202.79 [1890]~E(x18901,x18902)+E(f108(x18903,x18901,x18904),f108(x18903,x18902,x18904))
% 202.92/202.79 [1891]~E(x18911,x18912)+E(f108(x18913,x18914,x18911),f108(x18913,x18914,x18912))
% 202.92/202.79 [1892]~E(x18921,x18922)+E(f377(x18921,x18923,x18924),f377(x18922,x18923,x18924))
% 202.92/202.79 [1893]~E(x18931,x18932)+E(f377(x18933,x18931,x18934),f377(x18933,x18932,x18934))
% 202.92/202.79 [1894]~E(x18941,x18942)+E(f377(x18943,x18944,x18941),f377(x18943,x18944,x18942))
% 202.92/202.79 [1895]~E(x18951,x18952)+E(f48(x18951,x18953),f48(x18952,x18953))
% 202.92/202.79 [1896]~E(x18961,x18962)+E(f48(x18963,x18961),f48(x18963,x18962))
% 202.92/202.79 [1897]~E(x18971,x18972)+E(f384(x18971,x18973,x18974),f384(x18972,x18973,x18974))
% 202.92/202.79 [1898]~E(x18981,x18982)+E(f384(x18983,x18981,x18984),f384(x18983,x18982,x18984))
% 202.92/202.79 [1899]~E(x18991,x18992)+E(f384(x18993,x18994,x18991),f384(x18993,x18994,x18992))
% 202.92/202.79 [1900]~E(x19001,x19002)+E(f606(x19001,x19003,x19004,x19005,x19006,x19007),f606(x19002,x19003,x19004,x19005,x19006,x19007))
% 202.92/202.79 [1901]~E(x19011,x19012)+E(f606(x19013,x19011,x19014,x19015,x19016,x19017),f606(x19013,x19012,x19014,x19015,x19016,x19017))
% 202.92/202.79 [1902]~E(x19021,x19022)+E(f606(x19023,x19024,x19021,x19025,x19026,x19027),f606(x19023,x19024,x19022,x19025,x19026,x19027))
% 202.92/202.79 [1903]~E(x19031,x19032)+E(f606(x19033,x19034,x19035,x19031,x19036,x19037),f606(x19033,x19034,x19035,x19032,x19036,x19037))
% 202.92/202.79 [1904]~E(x19041,x19042)+E(f606(x19043,x19044,x19045,x19046,x19041,x19047),f606(x19043,x19044,x19045,x19046,x19042,x19047))
% 202.92/202.79 [1905]~E(x19051,x19052)+E(f606(x19053,x19054,x19055,x19056,x19057,x19051),f606(x19053,x19054,x19055,x19056,x19057,x19052))
% 202.92/202.79 [1906]~E(x19061,x19062)+E(f763(x19061,x19063,x19064),f763(x19062,x19063,x19064))
% 202.92/202.79 [1907]~E(x19071,x19072)+E(f763(x19073,x19071,x19074),f763(x19073,x19072,x19074))
% 202.92/202.79 [1908]~E(x19081,x19082)+E(f763(x19083,x19084,x19081),f763(x19083,x19084,x19082))
% 202.92/202.79 [1909]~E(x19091,x19092)+E(f514(x19091,x19093,x19094),f514(x19092,x19093,x19094))
% 202.92/202.79 [1910]~E(x19101,x19102)+E(f514(x19103,x19101,x19104),f514(x19103,x19102,x19104))
% 202.92/202.79 [1911]~E(x19111,x19112)+E(f514(x19113,x19114,x19111),f514(x19113,x19114,x19112))
% 202.92/202.79 [1912]~E(x19121,x19122)+E(f219(x19121,x19123,x19124),f219(x19122,x19123,x19124))
% 202.92/202.79 [1913]~E(x19131,x19132)+E(f219(x19133,x19131,x19134),f219(x19133,x19132,x19134))
% 202.92/202.79 [1914]~E(x19141,x19142)+E(f219(x19143,x19144,x19141),f219(x19143,x19144,x19142))
% 202.92/202.79 [1915]~E(x19151,x19152)+E(f556(x19151,x19153,x19154),f556(x19152,x19153,x19154))
% 202.92/202.79 [1916]~E(x19161,x19162)+E(f556(x19163,x19161,x19164),f556(x19163,x19162,x19164))
% 202.92/202.79 [1917]~E(x19171,x19172)+E(f556(x19173,x19174,x19171),f556(x19173,x19174,x19172))
% 202.92/202.79 [1918]~E(x19181,x19182)+E(f534(x19181,x19183,x19184,x19185,x19186,x19187,x19188),f534(x19182,x19183,x19184,x19185,x19186,x19187,x19188))
% 202.92/202.79 [1919]~E(x19191,x19192)+E(f534(x19193,x19191,x19194,x19195,x19196,x19197,x19198),f534(x19193,x19192,x19194,x19195,x19196,x19197,x19198))
% 202.92/202.79 [1920]~E(x19201,x19202)+E(f534(x19203,x19204,x19201,x19205,x19206,x19207,x19208),f534(x19203,x19204,x19202,x19205,x19206,x19207,x19208))
% 202.92/202.79 [1921]~E(x19211,x19212)+E(f534(x19213,x19214,x19215,x19211,x19216,x19217,x19218),f534(x19213,x19214,x19215,x19212,x19216,x19217,x19218))
% 202.92/202.79 [1922]~E(x19221,x19222)+E(f534(x19223,x19224,x19225,x19226,x19221,x19227,x19228),f534(x19223,x19224,x19225,x19226,x19222,x19227,x19228))
% 202.92/202.79 [1923]~E(x19231,x19232)+E(f534(x19233,x19234,x19235,x19236,x19237,x19231,x19238),f534(x19233,x19234,x19235,x19236,x19237,x19232,x19238))
% 202.92/202.79 [1924]~E(x19241,x19242)+E(f534(x19243,x19244,x19245,x19246,x19247,x19248,x19241),f534(x19243,x19244,x19245,x19246,x19247,x19248,x19242))
% 202.92/202.79 [1925]~E(x19251,x19252)+E(f476(x19251,x19253,x19254,x19255,x19256),f476(x19252,x19253,x19254,x19255,x19256))
% 202.92/202.79 [1926]~E(x19261,x19262)+E(f476(x19263,x19261,x19264,x19265,x19266),f476(x19263,x19262,x19264,x19265,x19266))
% 202.92/202.79 [1927]~E(x19271,x19272)+E(f476(x19273,x19274,x19271,x19275,x19276),f476(x19273,x19274,x19272,x19275,x19276))
% 202.92/202.79 [1928]~E(x19281,x19282)+E(f476(x19283,x19284,x19285,x19281,x19286),f476(x19283,x19284,x19285,x19282,x19286))
% 202.92/202.79 [1929]~E(x19291,x19292)+E(f476(x19293,x19294,x19295,x19296,x19291),f476(x19293,x19294,x19295,x19296,x19292))
% 202.92/202.79 [1930]~E(x19301,x19302)+E(f611(x19301,x19303,x19304,x19305,x19306),f611(x19302,x19303,x19304,x19305,x19306))
% 202.92/202.79 [1931]~E(x19311,x19312)+E(f611(x19313,x19311,x19314,x19315,x19316),f611(x19313,x19312,x19314,x19315,x19316))
% 202.92/202.79 [1932]~E(x19321,x19322)+E(f611(x19323,x19324,x19321,x19325,x19326),f611(x19323,x19324,x19322,x19325,x19326))
% 202.92/202.79 [1933]~E(x19331,x19332)+E(f611(x19333,x19334,x19335,x19331,x19336),f611(x19333,x19334,x19335,x19332,x19336))
% 202.92/202.79 [1934]~E(x19341,x19342)+E(f611(x19343,x19344,x19345,x19346,x19341),f611(x19343,x19344,x19345,x19346,x19342))
% 202.92/202.79 [1935]~E(x19351,x19352)+E(f860(x19351,x19353,x19354,x19355,x19356,x19357,x19358),f860(x19352,x19353,x19354,x19355,x19356,x19357,x19358))
% 202.92/202.79 [1936]~E(x19361,x19362)+E(f860(x19363,x19361,x19364,x19365,x19366,x19367,x19368),f860(x19363,x19362,x19364,x19365,x19366,x19367,x19368))
% 202.92/202.79 [1937]~E(x19371,x19372)+E(f860(x19373,x19374,x19371,x19375,x19376,x19377,x19378),f860(x19373,x19374,x19372,x19375,x19376,x19377,x19378))
% 202.92/202.79 [1938]~E(x19381,x19382)+E(f860(x19383,x19384,x19385,x19381,x19386,x19387,x19388),f860(x19383,x19384,x19385,x19382,x19386,x19387,x19388))
% 202.92/202.79 [1939]~E(x19391,x19392)+E(f860(x19393,x19394,x19395,x19396,x19391,x19397,x19398),f860(x19393,x19394,x19395,x19396,x19392,x19397,x19398))
% 202.92/202.79 [1940]~E(x19401,x19402)+E(f860(x19403,x19404,x19405,x19406,x19407,x19401,x19408),f860(x19403,x19404,x19405,x19406,x19407,x19402,x19408))
% 202.92/202.79 [1941]~E(x19411,x19412)+E(f860(x19413,x19414,x19415,x19416,x19417,x19418,x19411),f860(x19413,x19414,x19415,x19416,x19417,x19418,x19412))
% 202.92/202.79 [1942]~E(x19421,x19422)+E(f440(x19421,x19423,x19424,x19425),f440(x19422,x19423,x19424,x19425))
% 202.92/202.79 [1943]~E(x19431,x19432)+E(f440(x19433,x19431,x19434,x19435),f440(x19433,x19432,x19434,x19435))
% 202.92/202.79 [1944]~E(x19441,x19442)+E(f440(x19443,x19444,x19441,x19445),f440(x19443,x19444,x19442,x19445))
% 202.92/202.79 [1945]~E(x19451,x19452)+E(f440(x19453,x19454,x19455,x19451),f440(x19453,x19454,x19455,x19452))
% 202.92/202.79 [1946]~E(x19461,x19462)+E(f732(x19461,x19463),f732(x19462,x19463))
% 202.92/202.79 [1947]~E(x19471,x19472)+E(f732(x19473,x19471),f732(x19473,x19472))
% 202.92/202.79 [1948]~E(x19481,x19482)+E(f762(x19481,x19483,x19484),f762(x19482,x19483,x19484))
% 202.92/202.79 [1949]~E(x19491,x19492)+E(f762(x19493,x19491,x19494),f762(x19493,x19492,x19494))
% 202.92/202.79 [1950]~E(x19501,x19502)+E(f762(x19503,x19504,x19501),f762(x19503,x19504,x19502))
% 202.92/202.79 [1951]~E(x19511,x19512)+E(f413(x19511,x19513,x19514),f413(x19512,x19513,x19514))
% 202.92/202.79 [1952]~E(x19521,x19522)+E(f413(x19523,x19521,x19524),f413(x19523,x19522,x19524))
% 202.92/202.79 [1953]~E(x19531,x19532)+E(f413(x19533,x19534,x19531),f413(x19533,x19534,x19532))
% 202.92/202.79 [1954]~E(x19541,x19542)+E(f643(x19541,x19543,x19544,x19545,x19546),f643(x19542,x19543,x19544,x19545,x19546))
% 202.92/202.79 [1955]~E(x19551,x19552)+E(f643(x19553,x19551,x19554,x19555,x19556),f643(x19553,x19552,x19554,x19555,x19556))
% 202.92/202.80 [1956]~E(x19561,x19562)+E(f643(x19563,x19564,x19561,x19565,x19566),f643(x19563,x19564,x19562,x19565,x19566))
% 202.92/202.80 [1957]~E(x19571,x19572)+E(f643(x19573,x19574,x19575,x19571,x19576),f643(x19573,x19574,x19575,x19572,x19576))
% 202.92/202.80 [1958]~E(x19581,x19582)+E(f643(x19583,x19584,x19585,x19586,x19581),f643(x19583,x19584,x19585,x19586,x19582))
% 202.92/202.80 [1959]~E(x19591,x19592)+E(f839(x19591,x19593,x19594),f839(x19592,x19593,x19594))
% 202.92/202.80 [1960]~E(x19601,x19602)+E(f839(x19603,x19601,x19604),f839(x19603,x19602,x19604))
% 202.92/202.80 [1961]~E(x19611,x19612)+E(f839(x19613,x19614,x19611),f839(x19613,x19614,x19612))
% 202.92/202.80 [1962]~E(x19621,x19622)+E(f573(x19621,x19623,x19624,x19625),f573(x19622,x19623,x19624,x19625))
% 202.92/202.80 [1963]~E(x19631,x19632)+E(f573(x19633,x19631,x19634,x19635),f573(x19633,x19632,x19634,x19635))
% 202.92/202.80 [1964]~E(x19641,x19642)+E(f573(x19643,x19644,x19641,x19645),f573(x19643,x19644,x19642,x19645))
% 202.92/202.80 [1965]~E(x19651,x19652)+E(f573(x19653,x19654,x19655,x19651),f573(x19653,x19654,x19655,x19652))
% 202.92/202.80 [1966]~E(x19661,x19662)+E(f322(x19661,x19663,x19664,x19665),f322(x19662,x19663,x19664,x19665))
% 202.92/202.80 [1967]~E(x19671,x19672)+E(f322(x19673,x19671,x19674,x19675),f322(x19673,x19672,x19674,x19675))
% 202.92/202.80 [1968]~E(x19681,x19682)+E(f322(x19683,x19684,x19681,x19685),f322(x19683,x19684,x19682,x19685))
% 202.92/202.80 [1969]~E(x19691,x19692)+E(f322(x19693,x19694,x19695,x19691),f322(x19693,x19694,x19695,x19692))
% 202.92/202.80 [1970]~E(x19701,x19702)+E(f570(x19701,x19703,x19704,x19705),f570(x19702,x19703,x19704,x19705))
% 202.92/202.80 [1971]~E(x19711,x19712)+E(f570(x19713,x19711,x19714,x19715),f570(x19713,x19712,x19714,x19715))
% 202.92/202.80 [1972]~E(x19721,x19722)+E(f570(x19723,x19724,x19721,x19725),f570(x19723,x19724,x19722,x19725))
% 202.92/202.80 [1973]~E(x19731,x19732)+E(f570(x19733,x19734,x19735,x19731),f570(x19733,x19734,x19735,x19732))
% 202.92/202.80 [1974]~E(x19741,x19742)+E(f286(x19741,x19743,x19744),f286(x19742,x19743,x19744))
% 202.92/202.80 [1975]~E(x19751,x19752)+E(f286(x19753,x19751,x19754),f286(x19753,x19752,x19754))
% 202.92/202.80 [1976]~E(x19761,x19762)+E(f286(x19763,x19764,x19761),f286(x19763,x19764,x19762))
% 202.92/202.80 [1977]~E(x19771,x19772)+E(f733(x19771,x19773,x19774,x19775),f733(x19772,x19773,x19774,x19775))
% 202.92/202.80 [1978]~E(x19781,x19782)+E(f733(x19783,x19781,x19784,x19785),f733(x19783,x19782,x19784,x19785))
% 202.92/202.80 [1979]~E(x19791,x19792)+E(f733(x19793,x19794,x19791,x19795),f733(x19793,x19794,x19792,x19795))
% 202.92/202.80 [1980]~E(x19801,x19802)+E(f733(x19803,x19804,x19805,x19801),f733(x19803,x19804,x19805,x19802))
% 202.92/202.80 [1981]~E(x19811,x19812)+E(f582(x19811,x19813,x19814,x19815),f582(x19812,x19813,x19814,x19815))
% 202.92/202.80 [1982]~E(x19821,x19822)+E(f582(x19823,x19821,x19824,x19825),f582(x19823,x19822,x19824,x19825))
% 202.92/202.80 [1983]~E(x19831,x19832)+E(f582(x19833,x19834,x19831,x19835),f582(x19833,x19834,x19832,x19835))
% 202.92/202.80 [1984]~E(x19841,x19842)+E(f582(x19843,x19844,x19845,x19841),f582(x19843,x19844,x19845,x19842))
% 202.92/202.80 [1985]~E(x19851,x19852)+E(f641(x19851,x19853,x19854,x19855,x19856),f641(x19852,x19853,x19854,x19855,x19856))
% 202.92/202.80 [1986]~E(x19861,x19862)+E(f641(x19863,x19861,x19864,x19865,x19866),f641(x19863,x19862,x19864,x19865,x19866))
% 202.92/202.80 [1987]~E(x19871,x19872)+E(f641(x19873,x19874,x19871,x19875,x19876),f641(x19873,x19874,x19872,x19875,x19876))
% 202.92/202.80 [1988]~E(x19881,x19882)+E(f641(x19883,x19884,x19885,x19881,x19886),f641(x19883,x19884,x19885,x19882,x19886))
% 202.92/202.80 [1989]~E(x19891,x19892)+E(f641(x19893,x19894,x19895,x19896,x19891),f641(x19893,x19894,x19895,x19896,x19892))
% 202.92/202.80 [1990]~E(x19901,x19902)+E(f410(x19901,x19903,x19904,x19905,x19906),f410(x19902,x19903,x19904,x19905,x19906))
% 202.92/202.80 [1991]~E(x19911,x19912)+E(f410(x19913,x19911,x19914,x19915,x19916),f410(x19913,x19912,x19914,x19915,x19916))
% 202.92/202.80 [1992]~E(x19921,x19922)+E(f410(x19923,x19924,x19921,x19925,x19926),f410(x19923,x19924,x19922,x19925,x19926))
% 202.92/202.80 [1993]~E(x19931,x19932)+E(f410(x19933,x19934,x19935,x19931,x19936),f410(x19933,x19934,x19935,x19932,x19936))
% 202.92/202.80 [1994]~E(x19941,x19942)+E(f410(x19943,x19944,x19945,x19946,x19941),f410(x19943,x19944,x19945,x19946,x19942))
% 202.92/202.80 [1995]~E(x19951,x19952)+E(f195(x19951),f195(x19952))
% 202.92/202.80 [1996]~E(x19961,x19962)+E(f376(x19961,x19963,x19964),f376(x19962,x19963,x19964))
% 202.92/202.80 [1997]~E(x19971,x19972)+E(f376(x19973,x19971,x19974),f376(x19973,x19972,x19974))
% 202.92/202.80 [1998]~E(x19981,x19982)+E(f376(x19983,x19984,x19981),f376(x19983,x19984,x19982))
% 202.92/202.80 [1999]~E(x19991,x19992)+E(f616(x19991,x19993,x19994),f616(x19992,x19993,x19994))
% 202.92/202.80 [2000]~E(x20001,x20002)+E(f616(x20003,x20001,x20004),f616(x20003,x20002,x20004))
% 202.92/202.80 [2001]~E(x20011,x20012)+E(f616(x20013,x20014,x20011),f616(x20013,x20014,x20012))
% 202.92/202.80 [2002]~E(x20021,x20022)+E(f661(x20021,x20023,x20024,x20025,x20026),f661(x20022,x20023,x20024,x20025,x20026))
% 202.92/202.80 [2003]~E(x20031,x20032)+E(f661(x20033,x20031,x20034,x20035,x20036),f661(x20033,x20032,x20034,x20035,x20036))
% 202.92/202.80 [2004]~E(x20041,x20042)+E(f661(x20043,x20044,x20041,x20045,x20046),f661(x20043,x20044,x20042,x20045,x20046))
% 202.92/202.80 [2005]~E(x20051,x20052)+E(f661(x20053,x20054,x20055,x20051,x20056),f661(x20053,x20054,x20055,x20052,x20056))
% 202.92/202.80 [2006]~E(x20061,x20062)+E(f661(x20063,x20064,x20065,x20066,x20061),f661(x20063,x20064,x20065,x20066,x20062))
% 202.92/202.80 [2007]~E(x20071,x20072)+E(f369(x20071,x20073,x20074),f369(x20072,x20073,x20074))
% 202.92/202.80 [2008]~E(x20081,x20082)+E(f369(x20083,x20081,x20084),f369(x20083,x20082,x20084))
% 202.92/202.80 [2009]~E(x20091,x20092)+E(f369(x20093,x20094,x20091),f369(x20093,x20094,x20092))
% 202.92/202.80 [2010]~E(x20101,x20102)+E(f361(x20101,x20103,x20104,x20105,x20106),f361(x20102,x20103,x20104,x20105,x20106))
% 202.92/202.80 [2011]~E(x20111,x20112)+E(f361(x20113,x20111,x20114,x20115,x20116),f361(x20113,x20112,x20114,x20115,x20116))
% 202.92/202.80 [2012]~E(x20121,x20122)+E(f361(x20123,x20124,x20121,x20125,x20126),f361(x20123,x20124,x20122,x20125,x20126))
% 202.92/202.80 [2013]~E(x20131,x20132)+E(f361(x20133,x20134,x20135,x20131,x20136),f361(x20133,x20134,x20135,x20132,x20136))
% 202.92/202.80 [2014]~E(x20141,x20142)+E(f361(x20143,x20144,x20145,x20146,x20141),f361(x20143,x20144,x20145,x20146,x20142))
% 202.92/202.80 [2015]~E(x20151,x20152)+E(f567(x20151,x20153,x20154,x20155,x20156,x20157),f567(x20152,x20153,x20154,x20155,x20156,x20157))
% 202.92/202.80 [2016]~E(x20161,x20162)+E(f567(x20163,x20161,x20164,x20165,x20166,x20167),f567(x20163,x20162,x20164,x20165,x20166,x20167))
% 202.92/202.80 [2017]~E(x20171,x20172)+E(f567(x20173,x20174,x20171,x20175,x20176,x20177),f567(x20173,x20174,x20172,x20175,x20176,x20177))
% 202.92/202.80 [2018]~E(x20181,x20182)+E(f567(x20183,x20184,x20185,x20181,x20186,x20187),f567(x20183,x20184,x20185,x20182,x20186,x20187))
% 202.92/202.80 [2019]~E(x20191,x20192)+E(f567(x20193,x20194,x20195,x20196,x20191,x20197),f567(x20193,x20194,x20195,x20196,x20192,x20197))
% 202.92/202.80 [2020]~E(x20201,x20202)+E(f567(x20203,x20204,x20205,x20206,x20207,x20201),f567(x20203,x20204,x20205,x20206,x20207,x20202))
% 202.92/202.80 [2021]~E(x20211,x20212)+E(f433(x20211,x20213,x20214,x20215,x20216,x20217,x20218,x20219),f433(x20212,x20213,x20214,x20215,x20216,x20217,x20218,x20219))
% 202.92/202.80 [2022]~E(x20221,x20222)+E(f433(x20223,x20221,x20224,x20225,x20226,x20227,x20228,x20229),f433(x20223,x20222,x20224,x20225,x20226,x20227,x20228,x20229))
% 202.92/202.80 [2023]~E(x20231,x20232)+E(f433(x20233,x20234,x20231,x20235,x20236,x20237,x20238,x20239),f433(x20233,x20234,x20232,x20235,x20236,x20237,x20238,x20239))
% 202.92/202.80 [2024]~E(x20241,x20242)+E(f433(x20243,x20244,x20245,x20241,x20246,x20247,x20248,x20249),f433(x20243,x20244,x20245,x20242,x20246,x20247,x20248,x20249))
% 202.92/202.80 [2025]~E(x20251,x20252)+E(f433(x20253,x20254,x20255,x20256,x20251,x20257,x20258,x20259),f433(x20253,x20254,x20255,x20256,x20252,x20257,x20258,x20259))
% 202.92/202.80 [2026]~E(x20261,x20262)+E(f433(x20263,x20264,x20265,x20266,x20267,x20261,x20268,x20269),f433(x20263,x20264,x20265,x20266,x20267,x20262,x20268,x20269))
% 202.92/202.80 [2027]~E(x20271,x20272)+E(f433(x20273,x20274,x20275,x20276,x20277,x20278,x20271,x20279),f433(x20273,x20274,x20275,x20276,x20277,x20278,x20272,x20279))
% 202.92/202.80 [2028]~E(x20281,x20282)+E(f433(x20283,x20284,x20285,x20286,x20287,x20288,x20289,x20281),f433(x20283,x20284,x20285,x20286,x20287,x20288,x20289,x20282))
% 202.92/202.80 [2029]~E(x20291,x20292)+E(f416(x20291,x20293,x20294),f416(x20292,x20293,x20294))
% 202.92/202.80 [2030]~E(x20301,x20302)+E(f416(x20303,x20301,x20304),f416(x20303,x20302,x20304))
% 202.92/202.80 [2031]~E(x20311,x20312)+E(f416(x20313,x20314,x20311),f416(x20313,x20314,x20312))
% 202.92/202.80 [2032]~E(x20321,x20322)+E(f329(x20321,x20323,x20324),f329(x20322,x20323,x20324))
% 202.92/202.80 [2033]~E(x20331,x20332)+E(f329(x20333,x20331,x20334),f329(x20333,x20332,x20334))
% 202.92/202.80 [2034]~E(x20341,x20342)+E(f329(x20343,x20344,x20341),f329(x20343,x20344,x20342))
% 202.92/202.80 [2035]~E(x20351,x20352)+E(f437(x20351,x20353,x20354),f437(x20352,x20353,x20354))
% 202.92/202.80 [2036]~E(x20361,x20362)+E(f437(x20363,x20361,x20364),f437(x20363,x20362,x20364))
% 202.92/202.80 [2037]~E(x20371,x20372)+E(f437(x20373,x20374,x20371),f437(x20373,x20374,x20372))
% 202.92/202.80 [2038]~E(x20381,x20382)+E(f758(x20381,x20383,x20384),f758(x20382,x20383,x20384))
% 202.92/202.80 [2039]~E(x20391,x20392)+E(f758(x20393,x20391,x20394),f758(x20393,x20392,x20394))
% 202.92/202.80 [2040]~E(x20401,x20402)+E(f758(x20403,x20404,x20401),f758(x20403,x20404,x20402))
% 202.92/202.80 [2041]~E(x20411,x20412)+E(f482(x20411,x20413,x20414,x20415,x20416),f482(x20412,x20413,x20414,x20415,x20416))
% 202.92/202.80 [2042]~E(x20421,x20422)+E(f482(x20423,x20421,x20424,x20425,x20426),f482(x20423,x20422,x20424,x20425,x20426))
% 202.92/202.80 [2043]~E(x20431,x20432)+E(f482(x20433,x20434,x20431,x20435,x20436),f482(x20433,x20434,x20432,x20435,x20436))
% 202.92/202.80 [2044]~E(x20441,x20442)+E(f482(x20443,x20444,x20445,x20441,x20446),f482(x20443,x20444,x20445,x20442,x20446))
% 202.92/202.80 [2045]~E(x20451,x20452)+E(f482(x20453,x20454,x20455,x20456,x20451),f482(x20453,x20454,x20455,x20456,x20452))
% 202.92/202.80 [2046]~E(x20461,x20462)+E(f639(x20461,x20463,x20464,x20465,x20466),f639(x20462,x20463,x20464,x20465,x20466))
% 202.92/202.80 [2047]~E(x20471,x20472)+E(f639(x20473,x20471,x20474,x20475,x20476),f639(x20473,x20472,x20474,x20475,x20476))
% 202.92/202.80 [2048]~E(x20481,x20482)+E(f639(x20483,x20484,x20481,x20485,x20486),f639(x20483,x20484,x20482,x20485,x20486))
% 202.92/202.80 [2049]~E(x20491,x20492)+E(f639(x20493,x20494,x20495,x20491,x20496),f639(x20493,x20494,x20495,x20492,x20496))
% 202.92/202.80 [2050]~E(x20501,x20502)+E(f639(x20503,x20504,x20505,x20506,x20501),f639(x20503,x20504,x20505,x20506,x20502))
% 202.92/202.80 [2051]~E(x20511,x20512)+E(f704(x20511,x20513,x20514,x20515),f704(x20512,x20513,x20514,x20515))
% 202.92/202.80 [2052]~E(x20521,x20522)+E(f704(x20523,x20521,x20524,x20525),f704(x20523,x20522,x20524,x20525))
% 202.92/202.80 [2053]~E(x20531,x20532)+E(f704(x20533,x20534,x20531,x20535),f704(x20533,x20534,x20532,x20535))
% 202.92/202.80 [2054]~E(x20541,x20542)+E(f704(x20543,x20544,x20545,x20541),f704(x20543,x20544,x20545,x20542))
% 202.92/202.80 [2055]~E(x20551,x20552)+E(f456(x20551,x20553),f456(x20552,x20553))
% 202.92/202.80 [2056]~E(x20561,x20562)+E(f456(x20563,x20561),f456(x20563,x20562))
% 202.92/202.80 [2057]~E(x20571,x20572)+E(f495(x20571,x20573,x20574),f495(x20572,x20573,x20574))
% 202.92/202.80 [2058]~E(x20581,x20582)+E(f495(x20583,x20581,x20584),f495(x20583,x20582,x20584))
% 202.92/202.80 [2059]~E(x20591,x20592)+E(f495(x20593,x20594,x20591),f495(x20593,x20594,x20592))
% 202.92/202.80 [2060]~E(x20601,x20602)+E(f252(x20601,x20603,x20604,x20605,x20606),f252(x20602,x20603,x20604,x20605,x20606))
% 202.92/202.80 [2061]~E(x20611,x20612)+E(f252(x20613,x20611,x20614,x20615,x20616),f252(x20613,x20612,x20614,x20615,x20616))
% 202.92/202.80 [2062]~E(x20621,x20622)+E(f252(x20623,x20624,x20621,x20625,x20626),f252(x20623,x20624,x20622,x20625,x20626))
% 202.92/202.80 [2063]~E(x20631,x20632)+E(f252(x20633,x20634,x20635,x20631,x20636),f252(x20633,x20634,x20635,x20632,x20636))
% 202.92/202.80 [2064]~E(x20641,x20642)+E(f252(x20643,x20644,x20645,x20646,x20641),f252(x20643,x20644,x20645,x20646,x20642))
% 202.92/202.80 [2065]~E(x20651,x20652)+E(f355(x20651,x20653,x20654),f355(x20652,x20653,x20654))
% 202.92/202.80 [2066]~E(x20661,x20662)+E(f355(x20663,x20661,x20664),f355(x20663,x20662,x20664))
% 202.92/202.80 [2067]~E(x20671,x20672)+E(f355(x20673,x20674,x20671),f355(x20673,x20674,x20672))
% 202.92/202.80 [2068]~E(x20681,x20682)+E(f592(x20681,x20683,x20684),f592(x20682,x20683,x20684))
% 202.92/202.80 [2069]~E(x20691,x20692)+E(f592(x20693,x20691,x20694),f592(x20693,x20692,x20694))
% 202.92/202.80 [2070]~E(x20701,x20702)+E(f592(x20703,x20704,x20701),f592(x20703,x20704,x20702))
% 202.92/202.80 [2071]~E(x20711,x20712)+E(f730(x20711,x20713),f730(x20712,x20713))
% 202.92/202.80 [2072]~E(x20721,x20722)+E(f730(x20723,x20721),f730(x20723,x20722))
% 202.92/202.80 [2073]~E(x20731,x20732)+E(f915(x20731,x20733,x20734,x20735),f915(x20732,x20733,x20734,x20735))
% 202.92/202.80 [2074]~E(x20741,x20742)+E(f915(x20743,x20741,x20744,x20745),f915(x20743,x20742,x20744,x20745))
% 202.92/202.80 [2075]~E(x20751,x20752)+E(f915(x20753,x20754,x20751,x20755),f915(x20753,x20754,x20752,x20755))
% 202.92/202.80 [2076]~E(x20761,x20762)+E(f915(x20763,x20764,x20765,x20761),f915(x20763,x20764,x20765,x20762))
% 202.92/202.80 [2077]~E(x20771,x20772)+E(f209(x20771,x20773),f209(x20772,x20773))
% 202.92/202.80 [2078]~E(x20781,x20782)+E(f209(x20783,x20781),f209(x20783,x20782))
% 202.92/202.80 [2079]~E(x20791,x20792)+E(f336(x20791),f336(x20792))
% 202.92/202.80 [2080]~E(x20801,x20802)+E(f575(x20801,x20803),f575(x20802,x20803))
% 202.92/202.80 [2081]~E(x20811,x20812)+E(f575(x20813,x20811),f575(x20813,x20812))
% 202.92/202.80 [2082]~E(x20821,x20822)+E(f770(x20821,x20823,x20824),f770(x20822,x20823,x20824))
% 202.92/202.80 [2083]~E(x20831,x20832)+E(f770(x20833,x20831,x20834),f770(x20833,x20832,x20834))
% 202.92/202.80 [2084]~E(x20841,x20842)+E(f770(x20843,x20844,x20841),f770(x20843,x20844,x20842))
% 202.92/202.80 [2085]~E(x20851,x20852)+E(f533(x20851,x20853,x20854,x20855),f533(x20852,x20853,x20854,x20855))
% 202.92/202.80 [2086]~E(x20861,x20862)+E(f533(x20863,x20861,x20864,x20865),f533(x20863,x20862,x20864,x20865))
% 202.92/202.80 [2087]~E(x20871,x20872)+E(f533(x20873,x20874,x20871,x20875),f533(x20873,x20874,x20872,x20875))
% 202.92/202.80 [2088]~E(x20881,x20882)+E(f533(x20883,x20884,x20885,x20881),f533(x20883,x20884,x20885,x20882))
% 202.92/202.80 [2089]~E(x20891,x20892)+E(f634(x20891,x20893,x20894,x20895,x20896),f634(x20892,x20893,x20894,x20895,x20896))
% 202.92/202.80 [2090]~E(x20901,x20902)+E(f634(x20903,x20901,x20904,x20905,x20906),f634(x20903,x20902,x20904,x20905,x20906))
% 202.92/202.80 [2091]~E(x20911,x20912)+E(f634(x20913,x20914,x20911,x20915,x20916),f634(x20913,x20914,x20912,x20915,x20916))
% 202.92/202.80 [2092]~E(x20921,x20922)+E(f634(x20923,x20924,x20925,x20921,x20926),f634(x20923,x20924,x20925,x20922,x20926))
% 202.92/202.80 [2093]~E(x20931,x20932)+E(f634(x20933,x20934,x20935,x20936,x20931),f634(x20933,x20934,x20935,x20936,x20932))
% 202.92/202.80 [2094]~E(x20941,x20942)+E(f793(x20941,x20943,x20944,x20945,x20946,x20947,x20948),f793(x20942,x20943,x20944,x20945,x20946,x20947,x20948))
% 202.92/202.80 [2095]~E(x20951,x20952)+E(f793(x20953,x20951,x20954,x20955,x20956,x20957,x20958),f793(x20953,x20952,x20954,x20955,x20956,x20957,x20958))
% 202.92/202.80 [2096]~E(x20961,x20962)+E(f793(x20963,x20964,x20961,x20965,x20966,x20967,x20968),f793(x20963,x20964,x20962,x20965,x20966,x20967,x20968))
% 202.92/202.80 [2097]~E(x20971,x20972)+E(f793(x20973,x20974,x20975,x20971,x20976,x20977,x20978),f793(x20973,x20974,x20975,x20972,x20976,x20977,x20978))
% 202.92/202.80 [2098]~E(x20981,x20982)+E(f793(x20983,x20984,x20985,x20986,x20981,x20987,x20988),f793(x20983,x20984,x20985,x20986,x20982,x20987,x20988))
% 202.92/202.80 [2099]~E(x20991,x20992)+E(f793(x20993,x20994,x20995,x20996,x20997,x20991,x20998),f793(x20993,x20994,x20995,x20996,x20997,x20992,x20998))
% 202.92/202.80 [2100]~E(x21001,x21002)+E(f793(x21003,x21004,x21005,x21006,x21007,x21008,x21001),f793(x21003,x21004,x21005,x21006,x21007,x21008,x21002))
% 202.92/202.80 [2101]~E(x21011,x21012)+E(f405(x21011,x21013,x21014),f405(x21012,x21013,x21014))
% 202.92/202.80 [2102]~E(x21021,x21022)+E(f405(x21023,x21021,x21024),f405(x21023,x21022,x21024))
% 202.92/202.80 [2103]~E(x21031,x21032)+E(f405(x21033,x21034,x21031),f405(x21033,x21034,x21032))
% 202.92/202.80 [2104]~E(x21041,x21042)+E(f194(x21041,x21043,x21044),f194(x21042,x21043,x21044))
% 202.92/202.80 [2105]~E(x21051,x21052)+E(f194(x21053,x21051,x21054),f194(x21053,x21052,x21054))
% 202.92/202.80 [2106]~E(x21061,x21062)+E(f194(x21063,x21064,x21061),f194(x21063,x21064,x21062))
% 202.92/202.80 [2107]~E(x21071,x21072)+E(f333(x21071,x21073,x21074),f333(x21072,x21073,x21074))
% 202.92/202.80 [2108]~E(x21081,x21082)+E(f333(x21083,x21081,x21084),f333(x21083,x21082,x21084))
% 202.92/202.80 [2109]~E(x21091,x21092)+E(f333(x21093,x21094,x21091),f333(x21093,x21094,x21092))
% 202.92/202.80 [2110]~E(x21101,x21102)+E(f258(x21101),f258(x21102))
% 202.92/202.80 [2111]~E(x21111,x21112)+E(f269(x21111),f269(x21112))
% 202.92/202.80 [2112]~E(x21121,x21122)+E(f487(x21121,x21123,x21124,x21125,x21126),f487(x21122,x21123,x21124,x21125,x21126))
% 202.92/202.80 [2113]~E(x21131,x21132)+E(f487(x21133,x21131,x21134,x21135,x21136),f487(x21133,x21132,x21134,x21135,x21136))
% 202.92/202.80 [2114]~E(x21141,x21142)+E(f487(x21143,x21144,x21141,x21145,x21146),f487(x21143,x21144,x21142,x21145,x21146))
% 202.92/202.80 [2115]~E(x21151,x21152)+E(f487(x21153,x21154,x21155,x21151,x21156),f487(x21153,x21154,x21155,x21152,x21156))
% 202.92/202.80 [2116]~E(x21161,x21162)+E(f487(x21163,x21164,x21165,x21166,x21161),f487(x21163,x21164,x21165,x21166,x21162))
% 202.92/202.80 [2117]~E(x21171,x21172)+E(f743(x21171,x21173),f743(x21172,x21173))
% 202.92/202.80 [2118]~E(x21181,x21182)+E(f743(x21183,x21181),f743(x21183,x21182))
% 202.92/202.80 [2119]~E(x21191,x21192)+E(f869(x21191,x21193,x21194,x21195),f869(x21192,x21193,x21194,x21195))
% 202.92/202.80 [2120]~E(x21201,x21202)+E(f869(x21203,x21201,x21204,x21205),f869(x21203,x21202,x21204,x21205))
% 202.92/202.80 [2121]~E(x21211,x21212)+E(f869(x21213,x21214,x21211,x21215),f869(x21213,x21214,x21212,x21215))
% 202.92/202.80 [2122]~E(x21221,x21222)+E(f869(x21223,x21224,x21225,x21221),f869(x21223,x21224,x21225,x21222))
% 202.92/202.80 [2123]~E(x21231,x21232)+E(f506(x21231,x21233,x21234),f506(x21232,x21233,x21234))
% 202.92/202.80 [2124]~E(x21241,x21242)+E(f506(x21243,x21241,x21244),f506(x21243,x21242,x21244))
% 202.92/202.80 [2125]~E(x21251,x21252)+E(f506(x21253,x21254,x21251),f506(x21253,x21254,x21252))
% 202.92/202.80 [2126]~E(x21261,x21262)+E(f455(x21261,x21263),f455(x21262,x21263))
% 202.92/202.80 [2127]~E(x21271,x21272)+E(f455(x21273,x21271),f455(x21273,x21272))
% 202.92/202.80 [2128]~E(x21281,x21282)+E(f607(x21281,x21283,x21284),f607(x21282,x21283,x21284))
% 202.92/202.80 [2129]~E(x21291,x21292)+E(f607(x21293,x21291,x21294),f607(x21293,x21292,x21294))
% 202.92/202.80 [2130]~E(x21301,x21302)+E(f607(x21303,x21304,x21301),f607(x21303,x21304,x21302))
% 202.92/202.80 [2131]~E(x21311,x21312)+E(f516(x21311,x21313,x21314),f516(x21312,x21313,x21314))
% 202.92/202.80 [2132]~E(x21321,x21322)+E(f516(x21323,x21321,x21324),f516(x21323,x21322,x21324))
% 202.92/202.80 [2133]~E(x21331,x21332)+E(f516(x21333,x21334,x21331),f516(x21333,x21334,x21332))
% 202.92/202.80 [2134]~E(x21341,x21342)+E(f774(x21341,x21343,x21344,x21345),f774(x21342,x21343,x21344,x21345))
% 202.92/202.80 [2135]~E(x21351,x21352)+E(f774(x21353,x21351,x21354,x21355),f774(x21353,x21352,x21354,x21355))
% 202.92/202.80 [2136]~E(x21361,x21362)+E(f774(x21363,x21364,x21361,x21365),f774(x21363,x21364,x21362,x21365))
% 202.92/202.80 [2137]~E(x21371,x21372)+E(f774(x21373,x21374,x21375,x21371),f774(x21373,x21374,x21375,x21372))
% 202.92/202.80 [2138]~E(x21381,x21382)+E(f358(x21381,x21383,x21384,x21385),f358(x21382,x21383,x21384,x21385))
% 202.92/202.80 [2139]~E(x21391,x21392)+E(f358(x21393,x21391,x21394,x21395),f358(x21393,x21392,x21394,x21395))
% 202.92/202.80 [2140]~E(x21401,x21402)+E(f358(x21403,x21404,x21401,x21405),f358(x21403,x21404,x21402,x21405))
% 202.92/202.80 [2141]~E(x21411,x21412)+E(f358(x21413,x21414,x21415,x21411),f358(x21413,x21414,x21415,x21412))
% 202.92/202.80 [2142]~E(x21421,x21422)+E(f719(x21421,x21423,x21424),f719(x21422,x21423,x21424))
% 202.92/202.80 [2143]~E(x21431,x21432)+E(f719(x21433,x21431,x21434),f719(x21433,x21432,x21434))
% 202.92/202.80 [2144]~E(x21441,x21442)+E(f719(x21443,x21444,x21441),f719(x21443,x21444,x21442))
% 202.92/202.80 [2145]~E(x21451,x21452)+E(f746(x21451,x21453,x21454,x21455,x21456),f746(x21452,x21453,x21454,x21455,x21456))
% 202.92/202.80 [2146]~E(x21461,x21462)+E(f746(x21463,x21461,x21464,x21465,x21466),f746(x21463,x21462,x21464,x21465,x21466))
% 202.92/202.80 [2147]~E(x21471,x21472)+E(f746(x21473,x21474,x21471,x21475,x21476),f746(x21473,x21474,x21472,x21475,x21476))
% 202.92/202.80 [2148]~E(x21481,x21482)+E(f746(x21483,x21484,x21485,x21481,x21486),f746(x21483,x21484,x21485,x21482,x21486))
% 202.92/202.80 [2149]~E(x21491,x21492)+E(f746(x21493,x21494,x21495,x21496,x21491),f746(x21493,x21494,x21495,x21496,x21492))
% 202.92/202.80 [2150]~E(x21501,x21502)+E(f742(x21501,x21503,x21504),f742(x21502,x21503,x21504))
% 202.92/202.80 [2151]~E(x21511,x21512)+E(f742(x21513,x21511,x21514),f742(x21513,x21512,x21514))
% 202.92/202.80 [2152]~E(x21521,x21522)+E(f742(x21523,x21524,x21521),f742(x21523,x21524,x21522))
% 202.92/202.80 [2153]~E(x21531,x21532)+E(f525(x21531),f525(x21532))
% 202.92/202.80 [2154]~E(x21541,x21542)+E(f740(x21541,x21543,x21544,x21545,x21546),f740(x21542,x21543,x21544,x21545,x21546))
% 202.92/202.80 [2155]~E(x21551,x21552)+E(f740(x21553,x21551,x21554,x21555,x21556),f740(x21553,x21552,x21554,x21555,x21556))
% 202.92/202.80 [2156]~E(x21561,x21562)+E(f740(x21563,x21564,x21561,x21565,x21566),f740(x21563,x21564,x21562,x21565,x21566))
% 202.92/202.80 [2157]~E(x21571,x21572)+E(f740(x21573,x21574,x21575,x21571,x21576),f740(x21573,x21574,x21575,x21572,x21576))
% 202.92/202.80 [2158]~E(x21581,x21582)+E(f740(x21583,x21584,x21585,x21586,x21581),f740(x21583,x21584,x21585,x21586,x21582))
% 202.92/202.80 [2159]~E(x21591,x21592)+E(f181(x21591,x21593,x21594,x21595),f181(x21592,x21593,x21594,x21595))
% 202.92/202.80 [2160]~E(x21601,x21602)+E(f181(x21603,x21601,x21604,x21605),f181(x21603,x21602,x21604,x21605))
% 202.92/202.80 [2161]~E(x21611,x21612)+E(f181(x21613,x21614,x21611,x21615),f181(x21613,x21614,x21612,x21615))
% 202.92/202.80 [2162]~E(x21621,x21622)+E(f181(x21623,x21624,x21625,x21621),f181(x21623,x21624,x21625,x21622))
% 202.92/202.80 [2163]~E(x21631,x21632)+E(f154(x21631,x21633,x21634,x21635),f154(x21632,x21633,x21634,x21635))
% 202.92/202.80 [2164]~E(x21641,x21642)+E(f154(x21643,x21641,x21644,x21645),f154(x21643,x21642,x21644,x21645))
% 202.92/202.80 [2165]~E(x21651,x21652)+E(f154(x21653,x21654,x21651,x21655),f154(x21653,x21654,x21652,x21655))
% 202.92/202.80 [2166]~E(x21661,x21662)+E(f154(x21663,x21664,x21665,x21661),f154(x21663,x21664,x21665,x21662))
% 202.92/202.80 [2167]~E(x21671,x21672)+E(f842(x21671,x21673,x21674,x21675,x21676),f842(x21672,x21673,x21674,x21675,x21676))
% 202.92/202.80 [2168]~E(x21681,x21682)+E(f842(x21683,x21681,x21684,x21685,x21686),f842(x21683,x21682,x21684,x21685,x21686))
% 202.92/202.80 [2169]~E(x21691,x21692)+E(f842(x21693,x21694,x21691,x21695,x21696),f842(x21693,x21694,x21692,x21695,x21696))
% 202.92/202.80 [2170]~E(x21701,x21702)+E(f842(x21703,x21704,x21705,x21701,x21706),f842(x21703,x21704,x21705,x21702,x21706))
% 202.92/202.80 [2171]~E(x21711,x21712)+E(f842(x21713,x21714,x21715,x21716,x21711),f842(x21713,x21714,x21715,x21716,x21712))
% 202.92/202.80 [2172]~E(x21721,x21722)+E(f747(x21721,x21723,x21724,x21725,x21726),f747(x21722,x21723,x21724,x21725,x21726))
% 202.92/202.80 [2173]~E(x21731,x21732)+E(f747(x21733,x21731,x21734,x21735,x21736),f747(x21733,x21732,x21734,x21735,x21736))
% 202.92/202.80 [2174]~E(x21741,x21742)+E(f747(x21743,x21744,x21741,x21745,x21746),f747(x21743,x21744,x21742,x21745,x21746))
% 202.92/202.80 [2175]~E(x21751,x21752)+E(f747(x21753,x21754,x21755,x21751,x21756),f747(x21753,x21754,x21755,x21752,x21756))
% 202.92/202.80 [2176]~E(x21761,x21762)+E(f747(x21763,x21764,x21765,x21766,x21761),f747(x21763,x21764,x21765,x21766,x21762))
% 202.92/202.80 [2177]~E(x21771,x21772)+E(f748(x21771,x21773,x21774,x21775,x21776),f748(x21772,x21773,x21774,x21775,x21776))
% 202.92/202.80 [2178]~E(x21781,x21782)+E(f748(x21783,x21781,x21784,x21785,x21786),f748(x21783,x21782,x21784,x21785,x21786))
% 202.92/202.80 [2179]~E(x21791,x21792)+E(f748(x21793,x21794,x21791,x21795,x21796),f748(x21793,x21794,x21792,x21795,x21796))
% 202.92/202.80 [2180]~E(x21801,x21802)+E(f748(x21803,x21804,x21805,x21801,x21806),f748(x21803,x21804,x21805,x21802,x21806))
% 202.92/202.80 [2181]~E(x21811,x21812)+E(f748(x21813,x21814,x21815,x21816,x21811),f748(x21813,x21814,x21815,x21816,x21812))
% 202.92/202.80 [2182]~E(x21821,x21822)+E(f360(x21821,x21823,x21824,x21825,x21826),f360(x21822,x21823,x21824,x21825,x21826))
% 202.92/202.80 [2183]~E(x21831,x21832)+E(f360(x21833,x21831,x21834,x21835,x21836),f360(x21833,x21832,x21834,x21835,x21836))
% 202.92/202.80 [2184]~E(x21841,x21842)+E(f360(x21843,x21844,x21841,x21845,x21846),f360(x21843,x21844,x21842,x21845,x21846))
% 202.92/202.80 [2185]~E(x21851,x21852)+E(f360(x21853,x21854,x21855,x21851,x21856),f360(x21853,x21854,x21855,x21852,x21856))
% 202.92/202.80 [2186]~E(x21861,x21862)+E(f360(x21863,x21864,x21865,x21866,x21861),f360(x21863,x21864,x21865,x21866,x21862))
% 202.92/202.80 [2187]~E(x21871,x21872)+E(f890(x21871,x21873),f890(x21872,x21873))
% 202.92/202.80 [2188]~E(x21881,x21882)+E(f890(x21883,x21881),f890(x21883,x21882))
% 202.92/202.80 [2189]~E(x21891,x21892)+E(f427(x21891,x21893,x21894,x21895,x21896),f427(x21892,x21893,x21894,x21895,x21896))
% 202.92/202.80 [2190]~E(x21901,x21902)+E(f427(x21903,x21901,x21904,x21905,x21906),f427(x21903,x21902,x21904,x21905,x21906))
% 202.92/202.80 [2191]~E(x21911,x21912)+E(f427(x21913,x21914,x21911,x21915,x21916),f427(x21913,x21914,x21912,x21915,x21916))
% 202.92/202.80 [2192]~E(x21921,x21922)+E(f427(x21923,x21924,x21925,x21921,x21926),f427(x21923,x21924,x21925,x21922,x21926))
% 202.92/202.80 [2193]~E(x21931,x21932)+E(f427(x21933,x21934,x21935,x21936,x21931),f427(x21933,x21934,x21935,x21936,x21932))
% 202.92/202.80 [2194]~E(x21941,x21942)+E(f283(x21941,x21943),f283(x21942,x21943))
% 202.92/202.80 [2195]~E(x21951,x21952)+E(f283(x21953,x21951),f283(x21953,x21952))
% 202.92/202.80 [2196]~E(x21961,x21962)+E(f435(x21961,x21963),f435(x21962,x21963))
% 202.92/202.80 [2197]~E(x21971,x21972)+E(f435(x21973,x21971),f435(x21973,x21972))
% 202.92/202.80 [2198]~E(x21981,x21982)+E(f679(x21981,x21983,x21984),f679(x21982,x21983,x21984))
% 202.92/202.80 [2199]~E(x21991,x21992)+E(f679(x21993,x21991,x21994),f679(x21993,x21992,x21994))
% 202.92/202.80 [2200]~E(x22001,x22002)+E(f679(x22003,x22004,x22001),f679(x22003,x22004,x22002))
% 202.92/202.80 [2201]~E(x22011,x22012)+E(f216(x22011,x22013,x22014,x22015,x22016),f216(x22012,x22013,x22014,x22015,x22016))
% 202.92/202.80 [2202]~E(x22021,x22022)+E(f216(x22023,x22021,x22024,x22025,x22026),f216(x22023,x22022,x22024,x22025,x22026))
% 202.92/202.80 [2203]~E(x22031,x22032)+E(f216(x22033,x22034,x22031,x22035,x22036),f216(x22033,x22034,x22032,x22035,x22036))
% 202.92/202.80 [2204]~E(x22041,x22042)+E(f216(x22043,x22044,x22045,x22041,x22046),f216(x22043,x22044,x22045,x22042,x22046))
% 202.92/202.80 [2205]~E(x22051,x22052)+E(f216(x22053,x22054,x22055,x22056,x22051),f216(x22053,x22054,x22055,x22056,x22052))
% 202.92/202.80 [2206]~E(x22061,x22062)+E(f832(x22061,x22063,x22064,x22065,x22066),f832(x22062,x22063,x22064,x22065,x22066))
% 202.92/202.80 [2207]~E(x22071,x22072)+E(f832(x22073,x22071,x22074,x22075,x22076),f832(x22073,x22072,x22074,x22075,x22076))
% 202.92/202.80 [2208]~E(x22081,x22082)+E(f832(x22083,x22084,x22081,x22085,x22086),f832(x22083,x22084,x22082,x22085,x22086))
% 202.92/202.80 [2209]~E(x22091,x22092)+E(f832(x22093,x22094,x22095,x22091,x22096),f832(x22093,x22094,x22095,x22092,x22096))
% 202.92/202.80 [2210]~E(x22101,x22102)+E(f832(x22103,x22104,x22105,x22106,x22101),f832(x22103,x22104,x22105,x22106,x22102))
% 202.92/202.80 [2211]~E(x22111,x22112)+E(f881(x22111,x22113),f881(x22112,x22113))
% 202.92/202.80 [2212]~E(x22121,x22122)+E(f881(x22123,x22121),f881(x22123,x22122))
% 202.92/202.80 [2213]~E(x22131,x22132)+E(f452(x22131,x22133,x22134),f452(x22132,x22133,x22134))
% 202.92/202.80 [2214]~E(x22141,x22142)+E(f452(x22143,x22141,x22144),f452(x22143,x22142,x22144))
% 202.92/202.80 [2215]~E(x22151,x22152)+E(f452(x22153,x22154,x22151),f452(x22153,x22154,x22152))
% 202.92/202.80 [2216]~E(x22161,x22162)+E(f632(x22161,x22163,x22164,x22165,x22166),f632(x22162,x22163,x22164,x22165,x22166))
% 202.92/202.80 [2217]~E(x22171,x22172)+E(f632(x22173,x22171,x22174,x22175,x22176),f632(x22173,x22172,x22174,x22175,x22176))
% 202.92/202.80 [2218]~E(x22181,x22182)+E(f632(x22183,x22184,x22181,x22185,x22186),f632(x22183,x22184,x22182,x22185,x22186))
% 202.92/202.80 [2219]~E(x22191,x22192)+E(f632(x22193,x22194,x22195,x22191,x22196),f632(x22193,x22194,x22195,x22192,x22196))
% 202.92/202.80 [2220]~E(x22201,x22202)+E(f632(x22203,x22204,x22205,x22206,x22201),f632(x22203,x22204,x22205,x22206,x22202))
% 202.92/202.80 [2221]~E(x22211,x22212)+E(f553(x22211,x22213),f553(x22212,x22213))
% 202.92/202.80 [2222]~E(x22221,x22222)+E(f553(x22223,x22221),f553(x22223,x22222))
% 202.92/202.80 [2223]~E(x22231,x22232)+E(f904(x22231,x22233,x22234,x22235),f904(x22232,x22233,x22234,x22235))
% 202.92/202.80 [2224]~E(x22241,x22242)+E(f904(x22243,x22241,x22244,x22245),f904(x22243,x22242,x22244,x22245))
% 202.92/202.80 [2225]~E(x22251,x22252)+E(f904(x22253,x22254,x22251,x22255),f904(x22253,x22254,x22252,x22255))
% 202.92/202.80 [2226]~E(x22261,x22262)+E(f904(x22263,x22264,x22265,x22261),f904(x22263,x22264,x22265,x22262))
% 202.92/202.80 [2227]~E(x22271,x22272)+E(f519(x22271,x22273,x22274,x22275,x22276,x22277),f519(x22272,x22273,x22274,x22275,x22276,x22277))
% 202.92/202.80 [2228]~E(x22281,x22282)+E(f519(x22283,x22281,x22284,x22285,x22286,x22287),f519(x22283,x22282,x22284,x22285,x22286,x22287))
% 202.92/202.80 [2229]~E(x22291,x22292)+E(f519(x22293,x22294,x22291,x22295,x22296,x22297),f519(x22293,x22294,x22292,x22295,x22296,x22297))
% 202.92/202.80 [2230]~E(x22301,x22302)+E(f519(x22303,x22304,x22305,x22301,x22306,x22307),f519(x22303,x22304,x22305,x22302,x22306,x22307))
% 202.92/202.80 [2231]~E(x22311,x22312)+E(f519(x22313,x22314,x22315,x22316,x22311,x22317),f519(x22313,x22314,x22315,x22316,x22312,x22317))
% 202.92/202.80 [2232]~E(x22321,x22322)+E(f519(x22323,x22324,x22325,x22326,x22327,x22321),f519(x22323,x22324,x22325,x22326,x22327,x22322))
% 202.92/202.80 [2233]~E(x22331,x22332)+E(f682(x22331,x22333,x22334,x22335,x22336),f682(x22332,x22333,x22334,x22335,x22336))
% 202.92/202.80 [2234]~E(x22341,x22342)+E(f682(x22343,x22341,x22344,x22345,x22346),f682(x22343,x22342,x22344,x22345,x22346))
% 202.92/202.80 [2235]~E(x22351,x22352)+E(f682(x22353,x22354,x22351,x22355,x22356),f682(x22353,x22354,x22352,x22355,x22356))
% 202.92/202.80 [2236]~E(x22361,x22362)+E(f682(x22363,x22364,x22365,x22361,x22366),f682(x22363,x22364,x22365,x22362,x22366))
% 202.92/202.80 [2237]~E(x22371,x22372)+E(f682(x22373,x22374,x22375,x22376,x22371),f682(x22373,x22374,x22375,x22376,x22372))
% 202.92/202.80 [2238]~E(x22381,x22382)+E(f549(x22381,x22383,x22384,x22385),f549(x22382,x22383,x22384,x22385))
% 202.92/202.80 [2239]~E(x22391,x22392)+E(f549(x22393,x22391,x22394,x22395),f549(x22393,x22392,x22394,x22395))
% 202.92/202.80 [2240]~E(x22401,x22402)+E(f549(x22403,x22404,x22401,x22405),f549(x22403,x22404,x22402,x22405))
% 202.92/202.80 [2241]~E(x22411,x22412)+E(f549(x22413,x22414,x22415,x22411),f549(x22413,x22414,x22415,x22412))
% 202.92/202.80 [2242]~E(x22421,x22422)+E(f587(x22421,x22423),f587(x22422,x22423))
% 202.92/202.80 [2243]~E(x22431,x22432)+E(f587(x22433,x22431),f587(x22433,x22432))
% 202.92/202.80 [2244]~E(x22441,x22442)+E(f371(x22441,x22443,x22444),f371(x22442,x22443,x22444))
% 202.92/202.80 [2245]~E(x22451,x22452)+E(f371(x22453,x22451,x22454),f371(x22453,x22452,x22454))
% 202.92/202.80 [2246]~E(x22461,x22462)+E(f371(x22463,x22464,x22461),f371(x22463,x22464,x22462))
% 202.92/202.80 [2247]~E(x22471,x22472)+E(f757(x22471,x22473,x22474,x22475),f757(x22472,x22473,x22474,x22475))
% 202.92/202.80 [2248]~E(x22481,x22482)+E(f757(x22483,x22481,x22484,x22485),f757(x22483,x22482,x22484,x22485))
% 202.92/202.80 [2249]~E(x22491,x22492)+E(f757(x22493,x22494,x22491,x22495),f757(x22493,x22494,x22492,x22495))
% 202.92/202.80 [2250]~E(x22501,x22502)+E(f757(x22503,x22504,x22505,x22501),f757(x22503,x22504,x22505,x22502))
% 202.92/202.80 [2251]~E(x22511,x22512)+E(f523(x22511,x22513),f523(x22512,x22513))
% 202.92/202.80 [2252]~E(x22521,x22522)+E(f523(x22523,x22521),f523(x22523,x22522))
% 202.92/202.80 [2253]~E(x22531,x22532)+E(f898(x22531,x22533,x22534,x22535),f898(x22532,x22533,x22534,x22535))
% 202.92/202.80 [2254]~E(x22541,x22542)+E(f898(x22543,x22541,x22544,x22545),f898(x22543,x22542,x22544,x22545))
% 202.92/202.80 [2255]~E(x22551,x22552)+E(f898(x22553,x22554,x22551,x22555),f898(x22553,x22554,x22552,x22555))
% 202.92/202.80 [2256]~E(x22561,x22562)+E(f898(x22563,x22564,x22565,x22561),f898(x22563,x22564,x22565,x22562))
% 202.92/202.80 [2257]~E(x22571,x22572)+E(f908(x22571,x22573,x22574,x22575),f908(x22572,x22573,x22574,x22575))
% 202.92/202.80 [2258]~E(x22581,x22582)+E(f908(x22583,x22581,x22584,x22585),f908(x22583,x22582,x22584,x22585))
% 202.92/202.80 [2259]~E(x22591,x22592)+E(f908(x22593,x22594,x22591,x22595),f908(x22593,x22594,x22592,x22595))
% 202.92/202.80 [2260]~E(x22601,x22602)+E(f908(x22603,x22604,x22605,x22601),f908(x22603,x22604,x22605,x22602))
% 202.92/202.80 [2261]~E(x22611,x22612)+E(f501(x22611,x22613,x22614),f501(x22612,x22613,x22614))
% 202.92/202.80 [2262]~E(x22621,x22622)+E(f501(x22623,x22621,x22624),f501(x22623,x22622,x22624))
% 202.92/202.80 [2263]~E(x22631,x22632)+E(f501(x22633,x22634,x22631),f501(x22633,x22634,x22632))
% 202.92/202.80 [2264]~E(x22641,x22642)+E(f624(x22641,x22643,x22644),f624(x22642,x22643,x22644))
% 202.92/202.80 [2265]~E(x22651,x22652)+E(f624(x22653,x22651,x22654),f624(x22653,x22652,x22654))
% 202.92/202.80 [2266]~E(x22661,x22662)+E(f624(x22663,x22664,x22661),f624(x22663,x22664,x22662))
% 202.92/202.80 [2267]~E(x22671,x22672)+E(f648(x22671,x22673),f648(x22672,x22673))
% 202.92/202.80 [2268]~E(x22681,x22682)+E(f648(x22683,x22681),f648(x22683,x22682))
% 202.92/202.80 [2269]~E(x22691,x22692)+E(f564(x22691,x22693,x22694,x22695,x22696,x22697),f564(x22692,x22693,x22694,x22695,x22696,x22697))
% 202.92/202.80 [2270]~E(x22701,x22702)+E(f564(x22703,x22701,x22704,x22705,x22706,x22707),f564(x22703,x22702,x22704,x22705,x22706,x22707))
% 202.92/202.80 [2271]~E(x22711,x22712)+E(f564(x22713,x22714,x22711,x22715,x22716,x22717),f564(x22713,x22714,x22712,x22715,x22716,x22717))
% 202.92/202.80 [2272]~E(x22721,x22722)+E(f564(x22723,x22724,x22725,x22721,x22726,x22727),f564(x22723,x22724,x22725,x22722,x22726,x22727))
% 202.92/202.80 [2273]~E(x22731,x22732)+E(f564(x22733,x22734,x22735,x22736,x22731,x22737),f564(x22733,x22734,x22735,x22736,x22732,x22737))
% 202.92/202.80 [2274]~E(x22741,x22742)+E(f564(x22743,x22744,x22745,x22746,x22747,x22741),f564(x22743,x22744,x22745,x22746,x22747,x22742))
% 202.92/202.80 [2275]~E(x22751,x22752)+E(f844(x22751,x22753,x22754,x22755,x22756,x22757),f844(x22752,x22753,x22754,x22755,x22756,x22757))
% 202.92/202.80 [2276]~E(x22761,x22762)+E(f844(x22763,x22761,x22764,x22765,x22766,x22767),f844(x22763,x22762,x22764,x22765,x22766,x22767))
% 202.92/202.80 [2277]~E(x22771,x22772)+E(f844(x22773,x22774,x22771,x22775,x22776,x22777),f844(x22773,x22774,x22772,x22775,x22776,x22777))
% 202.92/202.80 [2278]~E(x22781,x22782)+E(f844(x22783,x22784,x22785,x22781,x22786,x22787),f844(x22783,x22784,x22785,x22782,x22786,x22787))
% 202.92/202.80 [2279]~E(x22791,x22792)+E(f844(x22793,x22794,x22795,x22796,x22791,x22797),f844(x22793,x22794,x22795,x22796,x22792,x22797))
% 202.92/202.80 [2280]~E(x22801,x22802)+E(f844(x22803,x22804,x22805,x22806,x22807,x22801),f844(x22803,x22804,x22805,x22806,x22807,x22802))
% 202.92/202.80 [2281]~E(x22811,x22812)+E(f228(x22811,x22813),f228(x22812,x22813))
% 202.92/202.80 [2282]~E(x22821,x22822)+E(f228(x22823,x22821),f228(x22823,x22822))
% 202.92/202.80 [2283]~E(x22831,x22832)+E(f775(x22831,x22833,x22834,x22835),f775(x22832,x22833,x22834,x22835))
% 202.92/202.80 [2284]~E(x22841,x22842)+E(f775(x22843,x22841,x22844,x22845),f775(x22843,x22842,x22844,x22845))
% 202.92/202.80 [2285]~E(x22851,x22852)+E(f775(x22853,x22854,x22851,x22855),f775(x22853,x22854,x22852,x22855))
% 202.92/202.80 [2286]~E(x22861,x22862)+E(f775(x22863,x22864,x22865,x22861),f775(x22863,x22864,x22865,x22862))
% 202.92/202.80 [2287]~E(x22871,x22872)+E(f677(x22871,x22873,x22874,x22875),f677(x22872,x22873,x22874,x22875))
% 202.92/202.80 [2288]~E(x22881,x22882)+E(f677(x22883,x22881,x22884,x22885),f677(x22883,x22882,x22884,x22885))
% 202.92/202.80 [2289]~E(x22891,x22892)+E(f677(x22893,x22894,x22891,x22895),f677(x22893,x22894,x22892,x22895))
% 202.92/202.80 [2290]~E(x22901,x22902)+E(f677(x22903,x22904,x22905,x22901),f677(x22903,x22904,x22905,x22902))
% 202.92/202.80 [2291]~E(x22911,x22912)+E(f627(x22911,x22913,x22914),f627(x22912,x22913,x22914))
% 202.92/202.80 [2292]~E(x22921,x22922)+E(f627(x22923,x22921,x22924),f627(x22923,x22922,x22924))
% 202.92/202.80 [2293]~E(x22931,x22932)+E(f627(x22933,x22934,x22931),f627(x22933,x22934,x22932))
% 202.92/202.80 [2294]~E(x22941,x22942)+E(f532(x22941,x22943,x22944),f532(x22942,x22943,x22944))
% 202.92/202.80 [2295]~E(x22951,x22952)+E(f532(x22953,x22951,x22954),f532(x22953,x22952,x22954))
% 202.92/202.80 [2296]~E(x22961,x22962)+E(f532(x22963,x22964,x22961),f532(x22963,x22964,x22962))
% 202.92/202.80 [2297]~E(x22971,x22972)+E(f574(x22971,x22973,x22974,x22975),f574(x22972,x22973,x22974,x22975))
% 202.92/202.80 [2298]~E(x22981,x22982)+E(f574(x22983,x22981,x22984,x22985),f574(x22983,x22982,x22984,x22985))
% 202.92/202.80 [2299]~E(x22991,x22992)+E(f574(x22993,x22994,x22991,x22995),f574(x22993,x22994,x22992,x22995))
% 202.92/202.80 [2300]~E(x23001,x23002)+E(f574(x23003,x23004,x23005,x23001),f574(x23003,x23004,x23005,x23002))
% 202.92/202.80 [2301]~E(x23011,x23012)+E(f771(x23011,x23013,x23014),f771(x23012,x23013,x23014))
% 202.92/202.80 [2302]~E(x23021,x23022)+E(f771(x23023,x23021,x23024),f771(x23023,x23022,x23024))
% 202.92/202.80 [2303]~E(x23031,x23032)+E(f771(x23033,x23034,x23031),f771(x23033,x23034,x23032))
% 202.92/202.80 [2304]~E(x23041,x23042)+E(f903(x23041,x23043,x23044,x23045),f903(x23042,x23043,x23044,x23045))
% 202.92/202.80 [2305]~E(x23051,x23052)+E(f903(x23053,x23051,x23054,x23055),f903(x23053,x23052,x23054,x23055))
% 202.92/202.80 [2306]~E(x23061,x23062)+E(f903(x23063,x23064,x23061,x23065),f903(x23063,x23064,x23062,x23065))
% 202.92/202.80 [2307]~E(x23071,x23072)+E(f903(x23073,x23074,x23075,x23071),f903(x23073,x23074,x23075,x23072))
% 202.92/202.80 [2308]~E(x23081,x23082)+E(f421(x23081,x23083,x23084,x23085,x23086),f421(x23082,x23083,x23084,x23085,x23086))
% 202.92/202.80 [2309]~E(x23091,x23092)+E(f421(x23093,x23091,x23094,x23095,x23096),f421(x23093,x23092,x23094,x23095,x23096))
% 202.92/202.80 [2310]~E(x23101,x23102)+E(f421(x23103,x23104,x23101,x23105,x23106),f421(x23103,x23104,x23102,x23105,x23106))
% 202.92/202.80 [2311]~E(x23111,x23112)+E(f421(x23113,x23114,x23115,x23111,x23116),f421(x23113,x23114,x23115,x23112,x23116))
% 202.92/202.80 [2312]~E(x23121,x23122)+E(f421(x23123,x23124,x23125,x23126,x23121),f421(x23123,x23124,x23125,x23126,x23122))
% 202.92/202.80 [2313]~E(x23131,x23132)+E(f467(x23131,x23133),f467(x23132,x23133))
% 202.92/202.80 [2314]~E(x23141,x23142)+E(f467(x23143,x23141),f467(x23143,x23142))
% 202.92/202.80 [2315]~E(x23151,x23152)+E(f588(x23151,x23153,x23154),f588(x23152,x23153,x23154))
% 202.92/202.80 [2316]~E(x23161,x23162)+E(f588(x23163,x23161,x23164),f588(x23163,x23162,x23164))
% 202.92/202.80 [2317]~E(x23171,x23172)+E(f588(x23173,x23174,x23171),f588(x23173,x23174,x23172))
% 202.92/202.80 [2318]~E(x23181,x23182)+E(f555(x23181,x23183,x23184),f555(x23182,x23183,x23184))
% 202.92/202.80 [2319]~E(x23191,x23192)+E(f555(x23193,x23191,x23194),f555(x23193,x23192,x23194))
% 202.92/202.80 [2320]~E(x23201,x23202)+E(f555(x23203,x23204,x23201),f555(x23203,x23204,x23202))
% 202.92/202.80 [2321]~E(x23211,x23212)+E(f787(x23211,x23213,x23214),f787(x23212,x23213,x23214))
% 202.92/202.80 [2322]~E(x23221,x23222)+E(f787(x23223,x23221,x23224),f787(x23223,x23222,x23224))
% 202.92/202.80 [2323]~E(x23231,x23232)+E(f787(x23233,x23234,x23231),f787(x23233,x23234,x23232))
% 202.92/202.80 [2324]~E(x23241,x23242)+E(f471(x23241,x23243,x23244),f471(x23242,x23243,x23244))
% 202.92/202.80 [2325]~E(x23251,x23252)+E(f471(x23253,x23251,x23254),f471(x23253,x23252,x23254))
% 202.92/202.80 [2326]~E(x23261,x23262)+E(f471(x23263,x23264,x23261),f471(x23263,x23264,x23262))
% 202.92/202.80 [2327]~E(x23271,x23272)+E(f186(x23271,x23273,x23274,x23275),f186(x23272,x23273,x23274,x23275))
% 202.92/202.80 [2328]~E(x23281,x23282)+E(f186(x23283,x23281,x23284,x23285),f186(x23283,x23282,x23284,x23285))
% 202.92/202.80 [2329]~E(x23291,x23292)+E(f186(x23293,x23294,x23291,x23295),f186(x23293,x23294,x23292,x23295))
% 202.92/202.80 [2330]~E(x23301,x23302)+E(f186(x23303,x23304,x23305,x23301),f186(x23303,x23304,x23305,x23302))
% 202.92/202.80 [2331]~E(x23311,x23312)+E(f796(x23311,x23313),f796(x23312,x23313))
% 202.92/202.80 [2332]~E(x23321,x23322)+E(f796(x23323,x23321),f796(x23323,x23322))
% 202.92/202.80 [2333]~E(x23331,x23332)+E(f461(x23331,x23333,x23334),f461(x23332,x23333,x23334))
% 202.92/202.80 [2334]~E(x23341,x23342)+E(f461(x23343,x23341,x23344),f461(x23343,x23342,x23344))
% 202.92/202.80 [2335]~E(x23351,x23352)+E(f461(x23353,x23354,x23351),f461(x23353,x23354,x23352))
% 202.92/202.80 [2336]~E(x23361,x23362)+E(f741(x23361,x23363),f741(x23362,x23363))
% 202.92/202.80 [2337]~E(x23371,x23372)+E(f741(x23373,x23371),f741(x23373,x23372))
% 202.92/202.80 [2338]~E(x23381,x23382)+E(f650(x23381,x23383,x23384,x23385),f650(x23382,x23383,x23384,x23385))
% 202.92/202.80 [2339]~E(x23391,x23392)+E(f650(x23393,x23391,x23394,x23395),f650(x23393,x23392,x23394,x23395))
% 202.92/202.80 [2340]~E(x23401,x23402)+E(f650(x23403,x23404,x23401,x23405),f650(x23403,x23404,x23402,x23405))
% 202.92/202.80 [2341]~E(x23411,x23412)+E(f650(x23413,x23414,x23415,x23411),f650(x23413,x23414,x23415,x23412))
% 202.92/202.80 [2342]~E(x23421,x23422)+E(f454(x23421,x23423),f454(x23422,x23423))
% 202.92/202.80 [2343]~E(x23431,x23432)+E(f454(x23433,x23431),f454(x23433,x23432))
% 202.92/202.80 [2344]~E(x23441,x23442)+E(f659(x23441,x23443,x23444,x23445,x23446),f659(x23442,x23443,x23444,x23445,x23446))
% 202.92/202.80 [2345]~E(x23451,x23452)+E(f659(x23453,x23451,x23454,x23455,x23456),f659(x23453,x23452,x23454,x23455,x23456))
% 202.92/202.80 [2346]~E(x23461,x23462)+E(f659(x23463,x23464,x23461,x23465,x23466),f659(x23463,x23464,x23462,x23465,x23466))
% 202.92/202.80 [2347]~E(x23471,x23472)+E(f659(x23473,x23474,x23475,x23471,x23476),f659(x23473,x23474,x23475,x23472,x23476))
% 202.92/202.80 [2348]~E(x23481,x23482)+E(f659(x23483,x23484,x23485,x23486,x23481),f659(x23483,x23484,x23485,x23486,x23482))
% 202.92/202.80 [2349]~E(x23491,x23492)+E(f798(x23491,x23493,x23494),f798(x23492,x23493,x23494))
% 202.92/202.80 [2350]~E(x23501,x23502)+E(f798(x23503,x23501,x23504),f798(x23503,x23502,x23504))
% 202.92/202.80 [2351]~E(x23511,x23512)+E(f798(x23513,x23514,x23511),f798(x23513,x23514,x23512))
% 202.92/202.80 [2352]~E(x23521,x23522)+E(f878(x23521,x23523,x23524,x23525,x23526),f878(x23522,x23523,x23524,x23525,x23526))
% 202.92/202.80 [2353]~E(x23531,x23532)+E(f878(x23533,x23531,x23534,x23535,x23536),f878(x23533,x23532,x23534,x23535,x23536))
% 202.92/202.80 [2354]~E(x23541,x23542)+E(f878(x23543,x23544,x23541,x23545,x23546),f878(x23543,x23544,x23542,x23545,x23546))
% 202.92/202.80 [2355]~E(x23551,x23552)+E(f878(x23553,x23554,x23555,x23551,x23556),f878(x23553,x23554,x23555,x23552,x23556))
% 202.92/202.80 [2356]~E(x23561,x23562)+E(f878(x23563,x23564,x23565,x23566,x23561),f878(x23563,x23564,x23565,x23566,x23562))
% 202.92/202.80 [2357]~E(x23571,x23572)+E(f612(x23571,x23573,x23574,x23575,x23576),f612(x23572,x23573,x23574,x23575,x23576))
% 202.92/202.80 [2358]~E(x23581,x23582)+E(f612(x23583,x23581,x23584,x23585,x23586),f612(x23583,x23582,x23584,x23585,x23586))
% 202.92/202.80 [2359]~E(x23591,x23592)+E(f612(x23593,x23594,x23591,x23595,x23596),f612(x23593,x23594,x23592,x23595,x23596))
% 202.92/202.80 [2360]~E(x23601,x23602)+E(f612(x23603,x23604,x23605,x23601,x23606),f612(x23603,x23604,x23605,x23602,x23606))
% 202.92/202.80 [2361]~E(x23611,x23612)+E(f612(x23613,x23614,x23615,x23616,x23611),f612(x23613,x23614,x23615,x23616,x23612))
% 202.92/202.80 [2362]~E(x23621,x23622)+E(f737(x23621,x23623,x23624,x23625,x23626,x23627,x23628,x23629),f737(x23622,x23623,x23624,x23625,x23626,x23627,x23628,x23629))
% 202.92/202.80 [2363]~E(x23631,x23632)+E(f737(x23633,x23631,x23634,x23635,x23636,x23637,x23638,x23639),f737(x23633,x23632,x23634,x23635,x23636,x23637,x23638,x23639))
% 202.92/202.80 [2364]~E(x23641,x23642)+E(f737(x23643,x23644,x23641,x23645,x23646,x23647,x23648,x23649),f737(x23643,x23644,x23642,x23645,x23646,x23647,x23648,x23649))
% 202.92/202.80 [2365]~E(x23651,x23652)+E(f737(x23653,x23654,x23655,x23651,x23656,x23657,x23658,x23659),f737(x23653,x23654,x23655,x23652,x23656,x23657,x23658,x23659))
% 202.92/202.80 [2366]~E(x23661,x23662)+E(f737(x23663,x23664,x23665,x23666,x23661,x23667,x23668,x23669),f737(x23663,x23664,x23665,x23666,x23662,x23667,x23668,x23669))
% 202.92/202.80 [2367]~E(x23671,x23672)+E(f737(x23673,x23674,x23675,x23676,x23677,x23671,x23678,x23679),f737(x23673,x23674,x23675,x23676,x23677,x23672,x23678,x23679))
% 202.92/202.80 [2368]~E(x23681,x23682)+E(f737(x23683,x23684,x23685,x23686,x23687,x23688,x23681,x23689),f737(x23683,x23684,x23685,x23686,x23687,x23688,x23682,x23689))
% 202.92/202.80 [2369]~E(x23691,x23692)+E(f737(x23693,x23694,x23695,x23696,x23697,x23698,x23699,x23691),f737(x23693,x23694,x23695,x23696,x23697,x23698,x23699,x23692))
% 202.92/202.80 [2370]~E(x23701,x23702)+E(f271(x23701,x23703,x23704,x23705),f271(x23702,x23703,x23704,x23705))
% 202.92/202.80 [2371]~E(x23711,x23712)+E(f271(x23713,x23711,x23714,x23715),f271(x23713,x23712,x23714,x23715))
% 202.92/202.80 [2372]~E(x23721,x23722)+E(f271(x23723,x23724,x23721,x23725),f271(x23723,x23724,x23722,x23725))
% 202.92/202.80 [2373]~E(x23731,x23732)+E(f271(x23733,x23734,x23735,x23731),f271(x23733,x23734,x23735,x23732))
% 202.92/202.80 [2374]~E(x23741,x23742)+E(f445(x23741,x23743,x23744,x23745),f445(x23742,x23743,x23744,x23745))
% 202.92/202.80 [2375]~E(x23751,x23752)+E(f445(x23753,x23751,x23754,x23755),f445(x23753,x23752,x23754,x23755))
% 202.92/202.80 [2376]~E(x23761,x23762)+E(f445(x23763,x23764,x23761,x23765),f445(x23763,x23764,x23762,x23765))
% 202.92/202.80 [2377]~E(x23771,x23772)+E(f445(x23773,x23774,x23775,x23771),f445(x23773,x23774,x23775,x23772))
% 202.92/202.80 [2378]~E(x23781,x23782)+E(f544(x23781,x23783,x23784,x23785),f544(x23782,x23783,x23784,x23785))
% 202.92/202.80 [2379]~E(x23791,x23792)+E(f544(x23793,x23791,x23794,x23795),f544(x23793,x23792,x23794,x23795))
% 202.92/202.80 [2380]~E(x23801,x23802)+E(f544(x23803,x23804,x23801,x23805),f544(x23803,x23804,x23802,x23805))
% 202.92/202.80 [2381]~E(x23811,x23812)+E(f544(x23813,x23814,x23815,x23811),f544(x23813,x23814,x23815,x23812))
% 202.92/202.80 [2382]~E(x23821,x23822)+E(f326(x23821),f326(x23822))
% 202.92/202.80 [2383]~E(x23831,x23832)+E(f579(x23831,x23833,x23834,x23835),f579(x23832,x23833,x23834,x23835))
% 202.92/202.80 [2384]~E(x23841,x23842)+E(f579(x23843,x23841,x23844,x23845),f579(x23843,x23842,x23844,x23845))
% 202.92/202.80 [2385]~E(x23851,x23852)+E(f579(x23853,x23854,x23851,x23855),f579(x23853,x23854,x23852,x23855))
% 202.92/202.80 [2386]~E(x23861,x23862)+E(f579(x23863,x23864,x23865,x23861),f579(x23863,x23864,x23865,x23862))
% 202.92/202.80 [2387]~E(x23871,x23872)+E(f469(x23871,x23873,x23874),f469(x23872,x23873,x23874))
% 202.92/202.80 [2388]~E(x23881,x23882)+E(f469(x23883,x23881,x23884),f469(x23883,x23882,x23884))
% 202.92/202.80 [2389]~E(x23891,x23892)+E(f469(x23893,x23894,x23891),f469(x23893,x23894,x23892))
% 202.92/202.80 [2390]~E(x23901,x23902)+E(f459(x23901,x23903,x23904),f459(x23902,x23903,x23904))
% 202.92/202.80 [2391]~E(x23911,x23912)+E(f459(x23913,x23911,x23914),f459(x23913,x23912,x23914))
% 202.92/202.80 [2392]~E(x23921,x23922)+E(f459(x23923,x23924,x23921),f459(x23923,x23924,x23922))
% 202.92/202.80 [2393]~E(x23931,x23932)+E(f520(x23931,x23933,x23934,x23935,x23936,x23937,x23938,x23939),f520(x23932,x23933,x23934,x23935,x23936,x23937,x23938,x23939))
% 202.92/202.80 [2394]~E(x23941,x23942)+E(f520(x23943,x23941,x23944,x23945,x23946,x23947,x23948,x23949),f520(x23943,x23942,x23944,x23945,x23946,x23947,x23948,x23949))
% 202.92/202.80 [2395]~E(x23951,x23952)+E(f520(x23953,x23954,x23951,x23955,x23956,x23957,x23958,x23959),f520(x23953,x23954,x23952,x23955,x23956,x23957,x23958,x23959))
% 202.92/202.80 [2396]~E(x23961,x23962)+E(f520(x23963,x23964,x23965,x23961,x23966,x23967,x23968,x23969),f520(x23963,x23964,x23965,x23962,x23966,x23967,x23968,x23969))
% 202.92/202.80 [2397]~E(x23971,x23972)+E(f520(x23973,x23974,x23975,x23976,x23971,x23977,x23978,x23979),f520(x23973,x23974,x23975,x23976,x23972,x23977,x23978,x23979))
% 202.92/202.80 [2398]~E(x23981,x23982)+E(f520(x23983,x23984,x23985,x23986,x23987,x23981,x23988,x23989),f520(x23983,x23984,x23985,x23986,x23987,x23982,x23988,x23989))
% 202.92/202.80 [2399]~E(x23991,x23992)+E(f520(x23993,x23994,x23995,x23996,x23997,x23998,x23991,x23999),f520(x23993,x23994,x23995,x23996,x23997,x23998,x23992,x23999))
% 202.92/202.80 [2400]~E(x24001,x24002)+E(f520(x24003,x24004,x24005,x24006,x24007,x24008,x24009,x24001),f520(x24003,x24004,x24005,x24006,x24007,x24008,x24009,x24002))
% 202.92/202.80 [2401]~E(x24011,x24012)+E(f852(x24011,x24013,x24014,x24015,x24016,x24017,x24018,x24019),f852(x24012,x24013,x24014,x24015,x24016,x24017,x24018,x24019))
% 202.92/202.80 [2402]~E(x24021,x24022)+E(f852(x24023,x24021,x24024,x24025,x24026,x24027,x24028,x24029),f852(x24023,x24022,x24024,x24025,x24026,x24027,x24028,x24029))
% 202.92/202.80 [2403]~E(x24031,x24032)+E(f852(x24033,x24034,x24031,x24035,x24036,x24037,x24038,x24039),f852(x24033,x24034,x24032,x24035,x24036,x24037,x24038,x24039))
% 202.92/202.80 [2404]~E(x24041,x24042)+E(f852(x24043,x24044,x24045,x24041,x24046,x24047,x24048,x24049),f852(x24043,x24044,x24045,x24042,x24046,x24047,x24048,x24049))
% 202.92/202.80 [2405]~E(x24051,x24052)+E(f852(x24053,x24054,x24055,x24056,x24051,x24057,x24058,x24059),f852(x24053,x24054,x24055,x24056,x24052,x24057,x24058,x24059))
% 202.92/202.80 [2406]~E(x24061,x24062)+E(f852(x24063,x24064,x24065,x24066,x24067,x24061,x24068,x24069),f852(x24063,x24064,x24065,x24066,x24067,x24062,x24068,x24069))
% 202.92/202.80 [2407]~E(x24071,x24072)+E(f852(x24073,x24074,x24075,x24076,x24077,x24078,x24071,x24079),f852(x24073,x24074,x24075,x24076,x24077,x24078,x24072,x24079))
% 202.92/202.80 [2408]~E(x24081,x24082)+E(f852(x24083,x24084,x24085,x24086,x24087,x24088,x24089,x24081),f852(x24083,x24084,x24085,x24086,x24087,x24088,x24089,x24082))
% 202.92/202.80 [2409]~E(x24091,x24092)+E(f711(x24091,x24093),f711(x24092,x24093))
% 202.92/202.80 [2410]~E(x24101,x24102)+E(f711(x24103,x24101),f711(x24103,x24102))
% 202.92/202.80 [2411]~E(x24111,x24112)+E(f388(x24111,x24113,x24114),f388(x24112,x24113,x24114))
% 202.92/202.80 [2412]~E(x24121,x24122)+E(f388(x24123,x24121,x24124),f388(x24123,x24122,x24124))
% 202.92/202.80 [2413]~E(x24131,x24132)+E(f388(x24133,x24134,x24131),f388(x24133,x24134,x24132))
% 202.92/202.80 [2414]~E(x24141,x24142)+E(f760(x24141,x24143,x24144),f760(x24142,x24143,x24144))
% 202.92/202.80 [2415]~E(x24151,x24152)+E(f760(x24153,x24151,x24154),f760(x24153,x24152,x24154))
% 202.92/202.80 [2416]~E(x24161,x24162)+E(f760(x24163,x24164,x24161),f760(x24163,x24164,x24162))
% 202.92/202.80 [2417]~E(x24171,x24172)+E(f808(x24171,x24173),f808(x24172,x24173))
% 202.92/202.80 [2418]~E(x24181,x24182)+E(f808(x24183,x24181),f808(x24183,x24182))
% 202.92/202.80 [2419]~E(x24191,x24192)+E(f449(x24191,x24193,x24194),f449(x24192,x24193,x24194))
% 202.92/202.80 [2420]~E(x24201,x24202)+E(f449(x24203,x24201,x24204),f449(x24203,x24202,x24204))
% 202.92/202.80 [2421]~E(x24211,x24212)+E(f449(x24213,x24214,x24211),f449(x24213,x24214,x24212))
% 202.92/202.80 [2422]~E(x24221,x24222)+E(f807(x24221,x24223),f807(x24222,x24223))
% 202.92/202.80 [2423]~E(x24231,x24232)+E(f807(x24233,x24231),f807(x24233,x24232))
% 202.92/202.80 [2424]~E(x24241,x24242)+E(f636(x24241,x24243),f636(x24242,x24243))
% 202.92/202.80 [2425]~E(x24251,x24252)+E(f636(x24253,x24251),f636(x24253,x24252))
% 202.92/202.80 [2426]~E(x24261,x24262)+E(f479(x24261,x24263,x24264),f479(x24262,x24263,x24264))
% 202.92/202.80 [2427]~E(x24271,x24272)+E(f479(x24273,x24271,x24274),f479(x24273,x24272,x24274))
% 202.92/202.80 [2428]~E(x24281,x24282)+E(f479(x24283,x24284,x24281),f479(x24283,x24284,x24282))
% 202.92/202.80 [2429]~E(x24291,x24292)+E(f640(x24291,x24293,x24294,x24295,x24296),f640(x24292,x24293,x24294,x24295,x24296))
% 202.92/202.80 [2430]~E(x24301,x24302)+E(f640(x24303,x24301,x24304,x24305,x24306),f640(x24303,x24302,x24304,x24305,x24306))
% 202.92/202.80 [2431]~E(x24311,x24312)+E(f640(x24313,x24314,x24311,x24315,x24316),f640(x24313,x24314,x24312,x24315,x24316))
% 202.92/202.80 [2432]~E(x24321,x24322)+E(f640(x24323,x24324,x24325,x24321,x24326),f640(x24323,x24324,x24325,x24322,x24326))
% 202.92/202.80 [2433]~E(x24331,x24332)+E(f640(x24333,x24334,x24335,x24336,x24331),f640(x24333,x24334,x24335,x24336,x24332))
% 202.92/202.80 [2434]~E(x24341,x24342)+E(f662(x24341,x24343,x24344),f662(x24342,x24343,x24344))
% 202.92/202.80 [2435]~E(x24351,x24352)+E(f662(x24353,x24351,x24354),f662(x24353,x24352,x24354))
% 202.92/202.80 [2436]~E(x24361,x24362)+E(f662(x24363,x24364,x24361),f662(x24363,x24364,x24362))
% 202.92/202.80 [2437]~E(x24371,x24372)+E(f658(x24371,x24373,x24374,x24375),f658(x24372,x24373,x24374,x24375))
% 202.92/202.80 [2438]~E(x24381,x24382)+E(f658(x24383,x24381,x24384,x24385),f658(x24383,x24382,x24384,x24385))
% 202.92/202.80 [2439]~E(x24391,x24392)+E(f658(x24393,x24394,x24391,x24395),f658(x24393,x24394,x24392,x24395))
% 202.92/202.80 [2440]~E(x24401,x24402)+E(f658(x24403,x24404,x24405,x24401),f658(x24403,x24404,x24405,x24402))
% 202.92/202.80 [2441]~E(x24411,x24412)+E(f372(x24411,x24413,x24414,x24415),f372(x24412,x24413,x24414,x24415))
% 202.92/202.80 [2442]~E(x24421,x24422)+E(f372(x24423,x24421,x24424,x24425),f372(x24423,x24422,x24424,x24425))
% 202.92/202.80 [2443]~E(x24431,x24432)+E(f372(x24433,x24434,x24431,x24435),f372(x24433,x24434,x24432,x24435))
% 202.92/202.80 [2444]~E(x24441,x24442)+E(f372(x24443,x24444,x24445,x24441),f372(x24443,x24444,x24445,x24442))
% 202.92/202.80 [2445]~E(x24451,x24452)+E(f738(x24451,x24453),f738(x24452,x24453))
% 202.92/202.80 [2446]~E(x24461,x24462)+E(f738(x24463,x24461),f738(x24463,x24462))
% 202.92/202.80 [2447]~E(x24471,x24472)+E(f836(x24471,x24473,x24474,x24475),f836(x24472,x24473,x24474,x24475))
% 202.92/202.80 [2448]~E(x24481,x24482)+E(f836(x24483,x24481,x24484,x24485),f836(x24483,x24482,x24484,x24485))
% 202.92/202.80 [2449]~E(x24491,x24492)+E(f836(x24493,x24494,x24491,x24495),f836(x24493,x24494,x24492,x24495))
% 202.92/202.80 [2450]~E(x24501,x24502)+E(f836(x24503,x24504,x24505,x24501),f836(x24503,x24504,x24505,x24502))
% 202.92/202.80 [2451]~E(x24511,x24512)+E(f864(x24511,x24513),f864(x24512,x24513))
% 202.92/202.80 [2452]~E(x24521,x24522)+E(f864(x24523,x24521),f864(x24523,x24522))
% 202.92/202.80 [2453]~E(x24531,x24532)+E(f464(x24531,x24533,x24534),f464(x24532,x24533,x24534))
% 202.92/202.80 [2454]~E(x24541,x24542)+E(f464(x24543,x24541,x24544),f464(x24543,x24542,x24544))
% 202.92/202.80 [2455]~E(x24551,x24552)+E(f464(x24553,x24554,x24551),f464(x24553,x24554,x24552))
% 202.92/202.80 [2456]~E(x24561,x24562)+E(f270(x24561,x24563,x24564,x24565),f270(x24562,x24563,x24564,x24565))
% 202.92/202.80 [2457]~E(x24571,x24572)+E(f270(x24573,x24571,x24574,x24575),f270(x24573,x24572,x24574,x24575))
% 202.92/202.80 [2458]~E(x24581,x24582)+E(f270(x24583,x24584,x24581,x24585),f270(x24583,x24584,x24582,x24585))
% 202.92/202.80 [2459]~E(x24591,x24592)+E(f270(x24593,x24594,x24595,x24591),f270(x24593,x24594,x24595,x24592))
% 202.92/202.80 [2460]~E(x24601,x24602)+E(f323(x24601),f323(x24602))
% 202.92/202.80 [2461]~E(x24611,x24612)+E(f67(x24611,x24613),f67(x24612,x24613))
% 202.92/202.80 [2462]~E(x24621,x24622)+E(f67(x24623,x24621),f67(x24623,x24622))
% 202.92/202.80 [2463]~E(x24631,x24632)+E(f816(x24631,x24633,x24634,x24635,x24636),f816(x24632,x24633,x24634,x24635,x24636))
% 202.92/202.80 [2464]~E(x24641,x24642)+E(f816(x24643,x24641,x24644,x24645,x24646),f816(x24643,x24642,x24644,x24645,x24646))
% 202.92/202.80 [2465]~E(x24651,x24652)+E(f816(x24653,x24654,x24651,x24655,x24656),f816(x24653,x24654,x24652,x24655,x24656))
% 202.92/202.80 [2466]~E(x24661,x24662)+E(f816(x24663,x24664,x24665,x24661,x24666),f816(x24663,x24664,x24665,x24662,x24666))
% 202.92/202.80 [2467]~E(x24671,x24672)+E(f816(x24673,x24674,x24675,x24676,x24671),f816(x24673,x24674,x24675,x24676,x24672))
% 202.92/202.80 [2468]~E(x24681,x24682)+E(f373(x24681,x24683,x24684,x24685),f373(x24682,x24683,x24684,x24685))
% 202.92/202.80 [2469]~E(x24691,x24692)+E(f373(x24693,x24691,x24694,x24695),f373(x24693,x24692,x24694,x24695))
% 202.92/202.80 [2470]~E(x24701,x24702)+E(f373(x24703,x24704,x24701,x24705),f373(x24703,x24704,x24702,x24705))
% 202.92/202.80 [2471]~E(x24711,x24712)+E(f373(x24713,x24714,x24715,x24711),f373(x24713,x24714,x24715,x24712))
% 202.92/202.80 [2472]~E(x24721,x24722)+E(f708(x24721,x24723,x24724),f708(x24722,x24723,x24724))
% 202.92/202.80 [2473]~E(x24731,x24732)+E(f708(x24733,x24731,x24734),f708(x24733,x24732,x24734))
% 202.92/202.80 [2474]~E(x24741,x24742)+E(f708(x24743,x24744,x24741),f708(x24743,x24744,x24742))
% 202.92/202.80 [2475]~E(x24751,x24752)+E(f196(x24751,x24753,x24754,x24755),f196(x24752,x24753,x24754,x24755))
% 202.92/202.80 [2476]~E(x24761,x24762)+E(f196(x24763,x24761,x24764,x24765),f196(x24763,x24762,x24764,x24765))
% 202.92/202.80 [2477]~E(x24771,x24772)+E(f196(x24773,x24774,x24771,x24775),f196(x24773,x24774,x24772,x24775))
% 202.92/202.80 [2478]~E(x24781,x24782)+E(f196(x24783,x24784,x24785,x24781),f196(x24783,x24784,x24785,x24782))
% 202.92/202.80 [2479]~E(x24791,x24792)+E(f597(x24791,x24793,x24794,x24795,x24796,x24797),f597(x24792,x24793,x24794,x24795,x24796,x24797))
% 202.92/202.80 [2480]~E(x24801,x24802)+E(f597(x24803,x24801,x24804,x24805,x24806,x24807),f597(x24803,x24802,x24804,x24805,x24806,x24807))
% 202.92/202.80 [2481]~E(x24811,x24812)+E(f597(x24813,x24814,x24811,x24815,x24816,x24817),f597(x24813,x24814,x24812,x24815,x24816,x24817))
% 202.92/202.80 [2482]~E(x24821,x24822)+E(f597(x24823,x24824,x24825,x24821,x24826,x24827),f597(x24823,x24824,x24825,x24822,x24826,x24827))
% 202.92/202.80 [2483]~E(x24831,x24832)+E(f597(x24833,x24834,x24835,x24836,x24831,x24837),f597(x24833,x24834,x24835,x24836,x24832,x24837))
% 202.92/202.80 [2484]~E(x24841,x24842)+E(f597(x24843,x24844,x24845,x24846,x24847,x24841),f597(x24843,x24844,x24845,x24846,x24847,x24842))
% 202.92/202.80 [2485]~E(x24851,x24852)+E(f660(x24851,x24853,x24854,x24855,x24856),f660(x24852,x24853,x24854,x24855,x24856))
% 202.92/202.80 [2486]~E(x24861,x24862)+E(f660(x24863,x24861,x24864,x24865,x24866),f660(x24863,x24862,x24864,x24865,x24866))
% 202.92/202.80 [2487]~E(x24871,x24872)+E(f660(x24873,x24874,x24871,x24875,x24876),f660(x24873,x24874,x24872,x24875,x24876))
% 202.92/202.80 [2488]~E(x24881,x24882)+E(f660(x24883,x24884,x24885,x24881,x24886),f660(x24883,x24884,x24885,x24882,x24886))
% 202.92/202.80 [2489]~E(x24891,x24892)+E(f660(x24893,x24894,x24895,x24896,x24891),f660(x24893,x24894,x24895,x24896,x24892))
% 202.92/202.80 [2490]~E(x24901,x24902)+E(f342(x24901,x24903,x24904),f342(x24902,x24903,x24904))
% 202.92/202.80 [2491]~E(x24911,x24912)+E(f342(x24913,x24911,x24914),f342(x24913,x24912,x24914))
% 202.92/202.80 [2492]~E(x24921,x24922)+E(f342(x24923,x24924,x24921),f342(x24923,x24924,x24922))
% 202.92/202.80 [2493]~E(x24931,x24932)+E(f202(x24931,x24933,x24934,x24935,x24936,x24937,x24938),f202(x24932,x24933,x24934,x24935,x24936,x24937,x24938))
% 202.92/202.80 [2494]~E(x24941,x24942)+E(f202(x24943,x24941,x24944,x24945,x24946,x24947,x24948),f202(x24943,x24942,x24944,x24945,x24946,x24947,x24948))
% 202.92/202.80 [2495]~E(x24951,x24952)+E(f202(x24953,x24954,x24951,x24955,x24956,x24957,x24958),f202(x24953,x24954,x24952,x24955,x24956,x24957,x24958))
% 202.92/202.80 [2496]~E(x24961,x24962)+E(f202(x24963,x24964,x24965,x24961,x24966,x24967,x24968),f202(x24963,x24964,x24965,x24962,x24966,x24967,x24968))
% 202.92/202.80 [2497]~E(x24971,x24972)+E(f202(x24973,x24974,x24975,x24976,x24971,x24977,x24978),f202(x24973,x24974,x24975,x24976,x24972,x24977,x24978))
% 202.92/202.80 [2498]~E(x24981,x24982)+E(f202(x24983,x24984,x24985,x24986,x24987,x24981,x24988),f202(x24983,x24984,x24985,x24986,x24987,x24982,x24988))
% 202.92/202.80 [2499]~E(x24991,x24992)+E(f202(x24993,x24994,x24995,x24996,x24997,x24998,x24991),f202(x24993,x24994,x24995,x24996,x24997,x24998,x24992))
% 202.92/202.80 [2500]~E(x25001,x25002)+E(f515(x25001,x25003,x25004,x25005,x25006),f515(x25002,x25003,x25004,x25005,x25006))
% 202.92/202.80 [2501]~E(x25011,x25012)+E(f515(x25013,x25011,x25014,x25015,x25016),f515(x25013,x25012,x25014,x25015,x25016))
% 202.92/202.80 [2502]~E(x25021,x25022)+E(f515(x25023,x25024,x25021,x25025,x25026),f515(x25023,x25024,x25022,x25025,x25026))
% 202.92/202.80 [2503]~E(x25031,x25032)+E(f515(x25033,x25034,x25035,x25031,x25036),f515(x25033,x25034,x25035,x25032,x25036))
% 202.92/202.80 [2504]~E(x25041,x25042)+E(f515(x25043,x25044,x25045,x25046,x25041),f515(x25043,x25044,x25045,x25046,x25042))
% 202.92/202.80 [2505]~E(x25051,x25052)+E(f19(x25051,x25053,x25054,x25055),f19(x25052,x25053,x25054,x25055))
% 202.92/202.80 [2506]~E(x25061,x25062)+E(f19(x25063,x25061,x25064,x25065),f19(x25063,x25062,x25064,x25065))
% 202.92/202.80 [2507]~E(x25071,x25072)+E(f19(x25073,x25074,x25071,x25075),f19(x25073,x25074,x25072,x25075))
% 202.92/202.80 [2508]~E(x25081,x25082)+E(f19(x25083,x25084,x25085,x25081),f19(x25083,x25084,x25085,x25082))
% 202.92/202.80 [2509]~E(x25091,x25092)+E(f265(x25091,x25093,x25094),f265(x25092,x25093,x25094))
% 202.92/202.80 [2510]~E(x25101,x25102)+E(f265(x25103,x25101,x25104),f265(x25103,x25102,x25104))
% 202.92/202.80 [2511]~E(x25111,x25112)+E(f265(x25113,x25114,x25111),f265(x25113,x25114,x25112))
% 202.92/202.80 [2512]~E(x25121,x25122)+E(f907(x25121,x25123,x25124,x25125),f907(x25122,x25123,x25124,x25125))
% 202.92/202.80 [2513]~E(x25131,x25132)+E(f907(x25133,x25131,x25134,x25135),f907(x25133,x25132,x25134,x25135))
% 202.92/202.80 [2514]~E(x25141,x25142)+E(f907(x25143,x25144,x25141,x25145),f907(x25143,x25144,x25142,x25145))
% 202.92/202.80 [2515]~E(x25151,x25152)+E(f907(x25153,x25154,x25155,x25151),f907(x25153,x25154,x25155,x25152))
% 202.92/202.80 [2516]~E(x25161,x25162)+E(f268(x25161,x25163,x25164,x25165),f268(x25162,x25163,x25164,x25165))
% 202.92/202.80 [2517]~E(x25171,x25172)+E(f268(x25173,x25171,x25174,x25175),f268(x25173,x25172,x25174,x25175))
% 202.92/202.80 [2518]~E(x25181,x25182)+E(f268(x25183,x25184,x25181,x25185),f268(x25183,x25184,x25182,x25185))
% 202.92/202.80 [2519]~E(x25191,x25192)+E(f268(x25193,x25194,x25195,x25191),f268(x25193,x25194,x25195,x25192))
% 202.92/202.80 [2520]~E(x25201,x25202)+E(f335(x25201),f335(x25202))
% 202.92/202.80 [2521]~E(x25211,x25212)+E(f374(x25211,x25213,x25214),f374(x25212,x25213,x25214))
% 202.92/202.80 [2522]~E(x25221,x25222)+E(f374(x25223,x25221,x25224),f374(x25223,x25222,x25224))
% 202.92/202.80 [2523]~E(x25231,x25232)+E(f374(x25233,x25234,x25231),f374(x25233,x25234,x25232))
% 202.92/202.80 [2524]~E(x25241,x25242)+E(f894(x25241,x25243,x25244,x25245),f894(x25242,x25243,x25244,x25245))
% 202.92/202.80 [2525]~E(x25251,x25252)+E(f894(x25253,x25251,x25254,x25255),f894(x25253,x25252,x25254,x25255))
% 202.92/202.80 [2526]~E(x25261,x25262)+E(f894(x25263,x25264,x25261,x25265),f894(x25263,x25264,x25262,x25265))
% 202.92/202.80 [2527]~E(x25271,x25272)+E(f894(x25273,x25274,x25275,x25271),f894(x25273,x25274,x25275,x25272))
% 202.92/202.80 [2528]~E(x25281,x25282)+E(f220(x25281,x25283,x25284,x25285),f220(x25282,x25283,x25284,x25285))
% 202.92/202.80 [2529]~E(x25291,x25292)+E(f220(x25293,x25291,x25294,x25295),f220(x25293,x25292,x25294,x25295))
% 202.92/202.80 [2530]~E(x25301,x25302)+E(f220(x25303,x25304,x25301,x25305),f220(x25303,x25304,x25302,x25305))
% 202.92/202.80 [2531]~E(x25311,x25312)+E(f220(x25313,x25314,x25315,x25311),f220(x25313,x25314,x25315,x25312))
% 202.92/202.80 [2532]~E(x25321,x25322)+E(f664(x25321,x25323,x25324),f664(x25322,x25323,x25324))
% 202.92/202.80 [2533]~E(x25331,x25332)+E(f664(x25333,x25331,x25334),f664(x25333,x25332,x25334))
% 202.92/202.80 [2534]~E(x25341,x25342)+E(f664(x25343,x25344,x25341),f664(x25343,x25344,x25342))
% 202.92/202.80 [2535]~E(x25351,x25352)+E(f895(x25351,x25353,x25354,x25355),f895(x25352,x25353,x25354,x25355))
% 202.92/202.80 [2536]~E(x25361,x25362)+E(f895(x25363,x25361,x25364,x25365),f895(x25363,x25362,x25364,x25365))
% 202.92/202.80 [2537]~E(x25371,x25372)+E(f895(x25373,x25374,x25371,x25375),f895(x25373,x25374,x25372,x25375))
% 202.92/202.80 [2538]~E(x25381,x25382)+E(f895(x25383,x25384,x25385,x25381),f895(x25383,x25384,x25385,x25382))
% 202.92/202.80 [2539]~E(x25391,x25392)+E(f797(x25391,x25393,x25394,x25395),f797(x25392,x25393,x25394,x25395))
% 202.92/202.80 [2540]~E(x25401,x25402)+E(f797(x25403,x25401,x25404,x25405),f797(x25403,x25402,x25404,x25405))
% 202.92/202.80 [2541]~E(x25411,x25412)+E(f797(x25413,x25414,x25411,x25415),f797(x25413,x25414,x25412,x25415))
% 202.92/202.80 [2542]~E(x25421,x25422)+E(f797(x25423,x25424,x25425,x25421),f797(x25423,x25424,x25425,x25422))
% 202.92/202.80 [2543]~E(x25431,x25432)+E(f590(x25431,x25433),f590(x25432,x25433))
% 202.92/202.80 [2544]~E(x25441,x25442)+E(f590(x25443,x25441),f590(x25443,x25442))
% 202.92/202.80 [2545]~E(x25451,x25452)+E(f820(x25451,x25453),f820(x25452,x25453))
% 202.92/202.80 [2546]~E(x25461,x25462)+E(f820(x25463,x25461),f820(x25463,x25462))
% 202.92/202.80 [2547]~E(x25471,x25472)+E(f352(x25471,x25473,x25474),f352(x25472,x25473,x25474))
% 202.92/202.80 [2548]~E(x25481,x25482)+E(f352(x25483,x25481,x25484),f352(x25483,x25482,x25484))
% 202.92/202.80 [2549]~E(x25491,x25492)+E(f352(x25493,x25494,x25491),f352(x25493,x25494,x25492))
% 202.92/202.80 [2550]~E(x25501,x25502)+E(f669(x25501,x25503,x25504,x25505),f669(x25502,x25503,x25504,x25505))
% 202.92/202.80 [2551]~E(x25511,x25512)+E(f669(x25513,x25511,x25514,x25515),f669(x25513,x25512,x25514,x25515))
% 202.92/202.80 [2552]~E(x25521,x25522)+E(f669(x25523,x25524,x25521,x25525),f669(x25523,x25524,x25522,x25525))
% 202.92/202.80 [2553]~E(x25531,x25532)+E(f669(x25533,x25534,x25535,x25531),f669(x25533,x25534,x25535,x25532))
% 202.92/202.80 [2554]~E(x25541,x25542)+E(f620(x25541,x25543,x25544,x25545,x25546),f620(x25542,x25543,x25544,x25545,x25546))
% 202.92/202.80 [2555]~E(x25551,x25552)+E(f620(x25553,x25551,x25554,x25555,x25556),f620(x25553,x25552,x25554,x25555,x25556))
% 202.92/202.80 [2556]~E(x25561,x25562)+E(f620(x25563,x25564,x25561,x25565,x25566),f620(x25563,x25564,x25562,x25565,x25566))
% 202.92/202.80 [2557]~E(x25571,x25572)+E(f620(x25573,x25574,x25575,x25571,x25576),f620(x25573,x25574,x25575,x25572,x25576))
% 202.92/202.80 [2558]~E(x25581,x25582)+E(f620(x25583,x25584,x25585,x25586,x25581),f620(x25583,x25584,x25585,x25586,x25582))
% 202.92/202.80 [2559]~E(x25591,x25592)+E(f912(x25591,x25593,x25594,x25595),f912(x25592,x25593,x25594,x25595))
% 202.92/202.80 [2560]~E(x25601,x25602)+E(f912(x25603,x25601,x25604,x25605),f912(x25603,x25602,x25604,x25605))
% 202.92/202.80 [2561]~E(x25611,x25612)+E(f912(x25613,x25614,x25611,x25615),f912(x25613,x25614,x25612,x25615))
% 202.92/202.80 [2562]~E(x25621,x25622)+E(f912(x25623,x25624,x25625,x25621),f912(x25623,x25624,x25625,x25622))
% 202.92/202.80 [2563]~E(x25631,x25632)+E(f468(x25631,x25633),f468(x25632,x25633))
% 202.92/202.80 [2564]~E(x25641,x25642)+E(f468(x25643,x25641),f468(x25643,x25642))
% 202.92/202.80 [2565]~E(x25651,x25652)+E(f862(x25651),f862(x25652))
% 202.92/202.80 [2566]~E(x25661,x25662)+E(f354(x25661,x25663),f354(x25662,x25663))
% 202.92/202.80 [2567]~E(x25671,x25672)+E(f354(x25673,x25671),f354(x25673,x25672))
% 202.92/202.80 [2568]~E(x25681,x25682)+E(f424(x25681,x25683,x25684,x25685,x25686),f424(x25682,x25683,x25684,x25685,x25686))
% 202.92/202.80 [2569]~E(x25691,x25692)+E(f424(x25693,x25691,x25694,x25695,x25696),f424(x25693,x25692,x25694,x25695,x25696))
% 202.92/202.80 [2570]~E(x25701,x25702)+E(f424(x25703,x25704,x25701,x25705,x25706),f424(x25703,x25704,x25702,x25705,x25706))
% 202.92/202.80 [2571]~E(x25711,x25712)+E(f424(x25713,x25714,x25715,x25711,x25716),f424(x25713,x25714,x25715,x25712,x25716))
% 202.92/202.80 [2572]~E(x25721,x25722)+E(f424(x25723,x25724,x25725,x25726,x25721),f424(x25723,x25724,x25725,x25726,x25722))
% 202.92/202.80 [2573]~E(x25731,x25732)+E(f645(x25731,x25733,x25734,x25735),f645(x25732,x25733,x25734,x25735))
% 202.92/202.80 [2574]~E(x25741,x25742)+E(f645(x25743,x25741,x25744,x25745),f645(x25743,x25742,x25744,x25745))
% 202.92/202.80 [2575]~E(x25751,x25752)+E(f645(x25753,x25754,x25751,x25755),f645(x25753,x25754,x25752,x25755))
% 202.92/202.80 [2576]~E(x25761,x25762)+E(f645(x25763,x25764,x25765,x25761),f645(x25763,x25764,x25765,x25762))
% 202.92/202.80 [2577]~E(x25771,x25772)+E(f608(x25771,x25773,x25774,x25775),f608(x25772,x25773,x25774,x25775))
% 202.92/202.80 [2578]~E(x25781,x25782)+E(f608(x25783,x25781,x25784,x25785),f608(x25783,x25782,x25784,x25785))
% 202.92/202.80 [2579]~E(x25791,x25792)+E(f608(x25793,x25794,x25791,x25795),f608(x25793,x25794,x25792,x25795))
% 202.92/202.80 [2580]~E(x25801,x25802)+E(f608(x25803,x25804,x25805,x25801),f608(x25803,x25804,x25805,x25802))
% 202.92/202.80 [2581]~E(x25811,x25812)+E(f568(x25811,x25813,x25814,x25815,x25816),f568(x25812,x25813,x25814,x25815,x25816))
% 202.92/202.80 [2582]~E(x25821,x25822)+E(f568(x25823,x25821,x25824,x25825,x25826),f568(x25823,x25822,x25824,x25825,x25826))
% 202.92/202.80 [2583]~E(x25831,x25832)+E(f568(x25833,x25834,x25831,x25835,x25836),f568(x25833,x25834,x25832,x25835,x25836))
% 202.92/202.80 [2584]~E(x25841,x25842)+E(f568(x25843,x25844,x25845,x25841,x25846),f568(x25843,x25844,x25845,x25842,x25846))
% 202.92/202.80 [2585]~E(x25851,x25852)+E(f568(x25853,x25854,x25855,x25856,x25851),f568(x25853,x25854,x25855,x25856,x25852))
% 202.92/202.80 [2586]~E(x25861,x25862)+E(f222(x25861,x25863,x25864,x25865),f222(x25862,x25863,x25864,x25865))
% 202.92/202.80 [2587]~E(x25871,x25872)+E(f222(x25873,x25871,x25874,x25875),f222(x25873,x25872,x25874,x25875))
% 202.92/202.80 [2588]~E(x25881,x25882)+E(f222(x25883,x25884,x25881,x25885),f222(x25883,x25884,x25882,x25885))
% 202.92/202.80 [2589]~E(x25891,x25892)+E(f222(x25893,x25894,x25895,x25891),f222(x25893,x25894,x25895,x25892))
% 202.92/202.80 [2590]~E(x25901,x25902)+E(f61(x25901,x25903,x25904),f61(x25902,x25903,x25904))
% 202.92/202.80 [2591]~E(x25911,x25912)+E(f61(x25913,x25911,x25914),f61(x25913,x25912,x25914))
% 202.92/202.80 [2592]~E(x25921,x25922)+E(f61(x25923,x25924,x25921),f61(x25923,x25924,x25922))
% 202.92/202.80 [2593]~E(x25931,x25932)+E(f460(x25931,x25933,x25934),f460(x25932,x25933,x25934))
% 202.92/202.80 [2594]~E(x25941,x25942)+E(f460(x25943,x25941,x25944),f460(x25943,x25942,x25944))
% 202.92/202.80 [2595]~E(x25951,x25952)+E(f460(x25953,x25954,x25951),f460(x25953,x25954,x25952))
% 202.92/202.80 [2596]~E(x25961,x25962)+E(f824(x25961,x25963,x25964),f824(x25962,x25963,x25964))
% 202.92/202.80 [2597]~E(x25971,x25972)+E(f824(x25973,x25971,x25974),f824(x25973,x25972,x25974))
% 202.92/202.80 [2598]~E(x25981,x25982)+E(f824(x25983,x25984,x25981),f824(x25983,x25984,x25982))
% 202.92/202.80 [2599]~E(x25991,x25992)+E(f638(x25991,x25993,x25994,x25995,x25996),f638(x25992,x25993,x25994,x25995,x25996))
% 202.92/202.80 [2600]~E(x26001,x26002)+E(f638(x26003,x26001,x26004,x26005,x26006),f638(x26003,x26002,x26004,x26005,x26006))
% 202.92/202.80 [2601]~E(x26011,x26012)+E(f638(x26013,x26014,x26011,x26015,x26016),f638(x26013,x26014,x26012,x26015,x26016))
% 202.92/202.80 [2602]~E(x26021,x26022)+E(f638(x26023,x26024,x26025,x26021,x26026),f638(x26023,x26024,x26025,x26022,x26026))
% 202.92/202.80 [2603]~E(x26031,x26032)+E(f638(x26033,x26034,x26035,x26036,x26031),f638(x26033,x26034,x26035,x26036,x26032))
% 202.92/202.80 [2604]~E(x26041,x26042)+E(f911(x26041,x26043,x26044,x26045),f911(x26042,x26043,x26044,x26045))
% 202.92/202.80 [2605]~E(x26051,x26052)+E(f911(x26053,x26051,x26054,x26055),f911(x26053,x26052,x26054,x26055))
% 202.92/202.80 [2606]~E(x26061,x26062)+E(f911(x26063,x26064,x26061,x26065),f911(x26063,x26064,x26062,x26065))
% 202.92/202.80 [2607]~E(x26071,x26072)+E(f911(x26073,x26074,x26075,x26071),f911(x26073,x26074,x26075,x26072))
% 202.92/202.80 [2608]~E(x26081,x26082)+E(f887(x26081),f887(x26082))
% 202.92/202.80 [2609]~E(x26091,x26092)+E(f888(x26091,x26093),f888(x26092,x26093))
% 202.92/202.80 [2610]~E(x26101,x26102)+E(f888(x26103,x26101),f888(x26103,x26102))
% 202.92/202.80 [2611]~E(x26111,x26112)+E(f334(x26111,x26113,x26114),f334(x26112,x26113,x26114))
% 202.92/202.80 [2612]~E(x26121,x26122)+E(f334(x26123,x26121,x26124),f334(x26123,x26122,x26124))
% 202.92/202.80 [2613]~E(x26131,x26132)+E(f334(x26133,x26134,x26131),f334(x26133,x26134,x26132))
% 202.92/202.80 [2614]~E(x26141,x26142)+E(f251(x26141,x26143,x26144,x26145,x26146),f251(x26142,x26143,x26144,x26145,x26146))
% 202.92/202.80 [2615]~E(x26151,x26152)+E(f251(x26153,x26151,x26154,x26155,x26156),f251(x26153,x26152,x26154,x26155,x26156))
% 202.92/202.80 [2616]~E(x26161,x26162)+E(f251(x26163,x26164,x26161,x26165,x26166),f251(x26163,x26164,x26162,x26165,x26166))
% 202.92/202.80 [2617]~E(x26171,x26172)+E(f251(x26173,x26174,x26175,x26171,x26176),f251(x26173,x26174,x26175,x26172,x26176))
% 202.92/202.80 [2618]~E(x26181,x26182)+E(f251(x26183,x26184,x26185,x26186,x26181),f251(x26183,x26184,x26185,x26186,x26182))
% 202.92/202.80 [2619]~E(x26191,x26192)+E(f38(x26191),f38(x26192))
% 202.92/202.80 [2620]~E(x26201,x26202)+E(f723(x26201,x26203,x26204),f723(x26202,x26203,x26204))
% 202.92/202.80 [2621]~E(x26211,x26212)+E(f723(x26213,x26211,x26214),f723(x26213,x26212,x26214))
% 202.92/202.80 [2622]~E(x26221,x26222)+E(f723(x26223,x26224,x26221),f723(x26223,x26224,x26222))
% 202.92/202.80 [2623]~E(x26231,x26232)+E(f861(x26231,x26233,x26234),f861(x26232,x26233,x26234))
% 202.92/202.80 [2624]~E(x26241,x26242)+E(f861(x26243,x26241,x26244),f861(x26243,x26242,x26244))
% 202.92/202.80 [2625]~E(x26251,x26252)+E(f861(x26253,x26254,x26251),f861(x26253,x26254,x26252))
% 202.92/202.80 [2626]~E(x26261,x26262)+E(f518(x26261,x26263,x26264,x26265,x26266,x26267),f518(x26262,x26263,x26264,x26265,x26266,x26267))
% 202.92/202.80 [2627]~E(x26271,x26272)+E(f518(x26273,x26271,x26274,x26275,x26276,x26277),f518(x26273,x26272,x26274,x26275,x26276,x26277))
% 202.92/202.80 [2628]~E(x26281,x26282)+E(f518(x26283,x26284,x26281,x26285,x26286,x26287),f518(x26283,x26284,x26282,x26285,x26286,x26287))
% 202.92/202.80 [2629]~E(x26291,x26292)+E(f518(x26293,x26294,x26295,x26291,x26296,x26297),f518(x26293,x26294,x26295,x26292,x26296,x26297))
% 202.92/202.80 [2630]~E(x26301,x26302)+E(f518(x26303,x26304,x26305,x26306,x26301,x26307),f518(x26303,x26304,x26305,x26306,x26302,x26307))
% 202.92/202.80 [2631]~E(x26311,x26312)+E(f518(x26313,x26314,x26315,x26316,x26317,x26311),f518(x26313,x26314,x26315,x26316,x26317,x26312))
% 202.92/202.80 [2632]~E(x26321,x26322)+E(f285(x26321,x26323,x26324),f285(x26322,x26323,x26324))
% 202.92/202.80 [2633]~E(x26331,x26332)+E(f285(x26333,x26331,x26334),f285(x26333,x26332,x26334))
% 202.92/202.80 [2634]~E(x26341,x26342)+E(f285(x26343,x26344,x26341),f285(x26343,x26344,x26342))
% 202.92/202.80 [2635]~E(x26351,x26352)+E(f646(x26351,x26353,x26354,x26355),f646(x26352,x26353,x26354,x26355))
% 202.92/202.80 [2636]~E(x26361,x26362)+E(f646(x26363,x26361,x26364,x26365),f646(x26363,x26362,x26364,x26365))
% 202.92/202.80 [2637]~E(x26371,x26372)+E(f646(x26373,x26374,x26371,x26375),f646(x26373,x26374,x26372,x26375))
% 202.92/202.80 [2638]~E(x26381,x26382)+E(f646(x26383,x26384,x26385,x26381),f646(x26383,x26384,x26385,x26382))
% 202.92/202.80 [2639]~E(x26391,x26392)+E(f694(x26391,x26393,x26394),f694(x26392,x26393,x26394))
% 202.92/202.80 [2640]~E(x26401,x26402)+E(f694(x26403,x26401,x26404),f694(x26403,x26402,x26404))
% 202.92/202.80 [2641]~E(x26411,x26412)+E(f694(x26413,x26414,x26411),f694(x26413,x26414,x26412))
% 202.92/202.80 [2642]~E(x26421,x26422)+E(f411(x26421,x26423,x26424,x26425,x26426),f411(x26422,x26423,x26424,x26425,x26426))
% 202.92/202.80 [2643]~E(x26431,x26432)+E(f411(x26433,x26431,x26434,x26435,x26436),f411(x26433,x26432,x26434,x26435,x26436))
% 202.92/202.80 [2644]~E(x26441,x26442)+E(f411(x26443,x26444,x26441,x26445,x26446),f411(x26443,x26444,x26442,x26445,x26446))
% 202.92/202.80 [2645]~E(x26451,x26452)+E(f411(x26453,x26454,x26455,x26451,x26456),f411(x26453,x26454,x26455,x26452,x26456))
% 202.92/202.80 [2646]~E(x26461,x26462)+E(f411(x26463,x26464,x26465,x26466,x26461),f411(x26463,x26464,x26465,x26466,x26462))
% 202.92/202.80 [2647]~E(x26471,x26472)+E(f364(x26471,x26473,x26474,x26475,x26476),f364(x26472,x26473,x26474,x26475,x26476))
% 202.92/202.80 [2648]~E(x26481,x26482)+E(f364(x26483,x26481,x26484,x26485,x26486),f364(x26483,x26482,x26484,x26485,x26486))
% 202.92/202.80 [2649]~E(x26491,x26492)+E(f364(x26493,x26494,x26491,x26495,x26496),f364(x26493,x26494,x26492,x26495,x26496))
% 202.92/202.80 [2650]~E(x26501,x26502)+E(f364(x26503,x26504,x26505,x26501,x26506),f364(x26503,x26504,x26505,x26502,x26506))
% 202.92/202.80 [2651]~E(x26511,x26512)+E(f364(x26513,x26514,x26515,x26516,x26511),f364(x26513,x26514,x26515,x26516,x26512))
% 202.92/202.80 [2652]~E(x26521,x26522)+E(f526(x26521),f526(x26522))
% 202.92/202.80 [2653]~E(x26531,x26532)+E(f586(x26531),f586(x26532))
% 202.92/202.80 [2654]~E(x26541,x26542)+E(f598(x26541,x26543),f598(x26542,x26543))
% 202.92/202.80 [2655]~E(x26551,x26552)+E(f598(x26553,x26551),f598(x26553,x26552))
% 202.92/202.80 [2656]~E(x26561,x26562)+E(f331(x26561,x26563,x26564),f331(x26562,x26563,x26564))
% 202.92/202.80 [2657]~E(x26571,x26572)+E(f331(x26573,x26571,x26574),f331(x26573,x26572,x26574))
% 202.92/202.80 [2658]~E(x26581,x26582)+E(f331(x26583,x26584,x26581),f331(x26583,x26584,x26582))
% 202.92/202.80 [2659]~E(x26591,x26592)+E(f359(x26591,x26593,x26594),f359(x26592,x26593,x26594))
% 202.92/202.80 [2660]~E(x26601,x26602)+E(f359(x26603,x26601,x26604),f359(x26603,x26602,x26604))
% 202.92/202.80 [2661]~E(x26611,x26612)+E(f359(x26613,x26614,x26611),f359(x26613,x26614,x26612))
% 202.92/202.80 [2662]~E(x26621,x26622)+E(f637(x26621,x26623,x26624,x26625),f637(x26622,x26623,x26624,x26625))
% 202.92/202.80 [2663]~E(x26631,x26632)+E(f637(x26633,x26631,x26634,x26635),f637(x26633,x26632,x26634,x26635))
% 202.92/202.80 [2664]~E(x26641,x26642)+E(f637(x26643,x26644,x26641,x26645),f637(x26643,x26644,x26642,x26645))
% 202.92/202.80 [2665]~E(x26651,x26652)+E(f637(x26653,x26654,x26655,x26651),f637(x26653,x26654,x26655,x26652))
% 202.92/202.80 [2666]~E(x26661,x26662)+E(f780(x26661,x26663),f780(x26662,x26663))
% 202.92/202.80 [2667]~E(x26671,x26672)+E(f780(x26673,x26671),f780(x26673,x26672))
% 202.92/202.80 [2668]~E(x26681,x26682)+E(f786(x26681),f786(x26682))
% 202.92/202.80 [2669]~E(x26691,x26692)+E(f826(x26691,x26693),f826(x26692,x26693))
% 202.92/202.80 [2670]~E(x26701,x26702)+E(f826(x26703,x26701),f826(x26703,x26702))
% 202.92/202.80 [2671]~E(x26711,x26712)+E(f343(x26711,x26713),f343(x26712,x26713))
% 202.92/202.80 [2672]~E(x26721,x26722)+E(f343(x26723,x26721),f343(x26723,x26722))
% 202.92/202.80 [2673]~E(x26731,x26732)+E(f197(x26731,x26733,x26734,x26735),f197(x26732,x26733,x26734,x26735))
% 202.92/202.80 [2674]~E(x26741,x26742)+E(f197(x26743,x26741,x26744,x26745),f197(x26743,x26742,x26744,x26745))
% 202.92/202.80 [2675]~E(x26751,x26752)+E(f197(x26753,x26754,x26751,x26755),f197(x26753,x26754,x26752,x26755))
% 202.92/202.80 [2676]~E(x26761,x26762)+E(f197(x26763,x26764,x26765,x26761),f197(x26763,x26764,x26765,x26762))
% 202.92/202.80 [2677]~E(x26771,x26772)+E(f788(x26771,x26773),f788(x26772,x26773))
% 202.92/202.80 [2678]~E(x26781,x26782)+E(f788(x26783,x26781),f788(x26783,x26782))
% 202.92/202.80 [2679]~E(x26791,x26792)+E(f778(x26791,x26793,x26794,x26795,x26796),f778(x26792,x26793,x26794,x26795,x26796))
% 202.92/202.80 [2680]~E(x26801,x26802)+E(f778(x26803,x26801,x26804,x26805,x26806),f778(x26803,x26802,x26804,x26805,x26806))
% 202.92/202.80 [2681]~E(x26811,x26812)+E(f778(x26813,x26814,x26811,x26815,x26816),f778(x26813,x26814,x26812,x26815,x26816))
% 202.92/202.80 [2682]~E(x26821,x26822)+E(f778(x26823,x26824,x26825,x26821,x26826),f778(x26823,x26824,x26825,x26822,x26826))
% 202.92/202.80 [2683]~E(x26831,x26832)+E(f778(x26833,x26834,x26835,x26836,x26831),f778(x26833,x26834,x26835,x26836,x26832))
% 202.92/202.80 [2684]~E(x26841,x26842)+E(f563(x26841,x26843,x26844,x26845,x26846,x26847),f563(x26842,x26843,x26844,x26845,x26846,x26847))
% 202.92/202.80 [2685]~E(x26851,x26852)+E(f563(x26853,x26851,x26854,x26855,x26856,x26857),f563(x26853,x26852,x26854,x26855,x26856,x26857))
% 202.92/202.80 [2686]~E(x26861,x26862)+E(f563(x26863,x26864,x26861,x26865,x26866,x26867),f563(x26863,x26864,x26862,x26865,x26866,x26867))
% 202.92/202.80 [2687]~E(x26871,x26872)+E(f563(x26873,x26874,x26875,x26871,x26876,x26877),f563(x26873,x26874,x26875,x26872,x26876,x26877))
% 202.92/202.80 [2688]~E(x26881,x26882)+E(f563(x26883,x26884,x26885,x26886,x26881,x26887),f563(x26883,x26884,x26885,x26886,x26882,x26887))
% 202.92/202.80 [2689]~E(x26891,x26892)+E(f563(x26893,x26894,x26895,x26896,x26897,x26891),f563(x26893,x26894,x26895,x26896,x26897,x26892))
% 202.92/202.80 [2690]~E(x26901,x26902)+E(f571(x26901,x26903,x26904,x26905,x26906,x26907,x26908,x26909),f571(x26902,x26903,x26904,x26905,x26906,x26907,x26908,x26909))
% 202.92/202.80 [2691]~E(x26911,x26912)+E(f571(x26913,x26911,x26914,x26915,x26916,x26917,x26918,x26919),f571(x26913,x26912,x26914,x26915,x26916,x26917,x26918,x26919))
% 202.92/202.80 [2692]~E(x26921,x26922)+E(f571(x26923,x26924,x26921,x26925,x26926,x26927,x26928,x26929),f571(x26923,x26924,x26922,x26925,x26926,x26927,x26928,x26929))
% 202.92/202.80 [2693]~E(x26931,x26932)+E(f571(x26933,x26934,x26935,x26931,x26936,x26937,x26938,x26939),f571(x26933,x26934,x26935,x26932,x26936,x26937,x26938,x26939))
% 202.92/202.80 [2694]~E(x26941,x26942)+E(f571(x26943,x26944,x26945,x26946,x26941,x26947,x26948,x26949),f571(x26943,x26944,x26945,x26946,x26942,x26947,x26948,x26949))
% 202.92/202.80 [2695]~E(x26951,x26952)+E(f571(x26953,x26954,x26955,x26956,x26957,x26951,x26958,x26959),f571(x26953,x26954,x26955,x26956,x26957,x26952,x26958,x26959))
% 202.92/202.80 [2696]~E(x26961,x26962)+E(f571(x26963,x26964,x26965,x26966,x26967,x26968,x26961,x26969),f571(x26963,x26964,x26965,x26966,x26967,x26968,x26962,x26969))
% 202.92/202.80 [2697]~E(x26971,x26972)+E(f571(x26973,x26974,x26975,x26976,x26977,x26978,x26979,x26971),f571(x26973,x26974,x26975,x26976,x26977,x26978,x26979,x26972))
% 202.92/202.80 [2698]~E(x26981,x26982)+E(f341(x26981,x26983),f341(x26982,x26983))
% 202.92/202.80 [2699]~E(x26991,x26992)+E(f341(x26993,x26991),f341(x26993,x26992))
% 202.92/202.80 [2700]~E(x27001,x27002)+E(f345(x27001),f345(x27002))
% 202.92/202.80 [2701]~E(x27011,x27012)+E(f812(x27011),f812(x27012))
% 202.92/202.80 [2702]~E(x27021,x27022)+E(f198(x27021,x27023,x27024,x27025,x27026,x27027,x27028),f198(x27022,x27023,x27024,x27025,x27026,x27027,x27028))
% 202.92/202.80 [2703]~E(x27031,x27032)+E(f198(x27033,x27031,x27034,x27035,x27036,x27037,x27038),f198(x27033,x27032,x27034,x27035,x27036,x27037,x27038))
% 202.92/202.80 [2704]~E(x27041,x27042)+E(f198(x27043,x27044,x27041,x27045,x27046,x27047,x27048),f198(x27043,x27044,x27042,x27045,x27046,x27047,x27048))
% 202.92/202.80 [2705]~E(x27051,x27052)+E(f198(x27053,x27054,x27055,x27051,x27056,x27057,x27058),f198(x27053,x27054,x27055,x27052,x27056,x27057,x27058))
% 202.92/202.80 [2706]~E(x27061,x27062)+E(f198(x27063,x27064,x27065,x27066,x27061,x27067,x27068),f198(x27063,x27064,x27065,x27066,x27062,x27067,x27068))
% 202.92/202.80 [2707]~E(x27071,x27072)+E(f198(x27073,x27074,x27075,x27076,x27077,x27071,x27078),f198(x27073,x27074,x27075,x27076,x27077,x27072,x27078))
% 202.92/202.80 [2708]~E(x27081,x27082)+E(f198(x27083,x27084,x27085,x27086,x27087,x27088,x27081),f198(x27083,x27084,x27085,x27086,x27087,x27088,x27082))
% 202.92/202.80 [2709]~E(x27091,x27092)+E(f420(x27091,x27093,x27094,x27095,x27096),f420(x27092,x27093,x27094,x27095,x27096))
% 202.92/202.80 [2710]~E(x27101,x27102)+E(f420(x27103,x27101,x27104,x27105,x27106),f420(x27103,x27102,x27104,x27105,x27106))
% 202.92/202.80 [2711]~E(x27111,x27112)+E(f420(x27113,x27114,x27111,x27115,x27116),f420(x27113,x27114,x27112,x27115,x27116))
% 202.92/202.80 [2712]~E(x27121,x27122)+E(f420(x27123,x27124,x27125,x27121,x27126),f420(x27123,x27124,x27125,x27122,x27126))
% 202.92/202.80 [2713]~E(x27131,x27132)+E(f420(x27133,x27134,x27135,x27136,x27131),f420(x27133,x27134,x27135,x27136,x27132))
% 202.92/202.80 [2714]~E(x27141,x27142)+E(f720(x27141,x27143),f720(x27142,x27143))
% 202.92/202.80 [2715]~E(x27151,x27152)+E(f720(x27153,x27151),f720(x27153,x27152))
% 202.92/202.80 [2716]~E(x27161,x27162)+E(f390(x27161,x27163,x27164),f390(x27162,x27163,x27164))
% 202.92/202.80 [2717]~E(x27171,x27172)+E(f390(x27173,x27171,x27174),f390(x27173,x27172,x27174))
% 202.92/202.80 [2718]~E(x27181,x27182)+E(f390(x27183,x27184,x27181),f390(x27183,x27184,x27182))
% 202.92/202.80 [2719]~E(x27191,x27192)+E(f531(x27191,x27193,x27194),f531(x27192,x27193,x27194))
% 202.92/202.80 [2720]~E(x27201,x27202)+E(f531(x27203,x27201,x27204),f531(x27203,x27202,x27204))
% 202.92/202.80 [2721]~E(x27211,x27212)+E(f531(x27213,x27214,x27211),f531(x27213,x27214,x27212))
% 202.92/202.80 [2722]~E(x27221,x27222)+E(f393(x27221,x27223,x27224),f393(x27222,x27223,x27224))
% 202.92/202.80 [2723]~E(x27231,x27232)+E(f393(x27233,x27231,x27234),f393(x27233,x27232,x27234))
% 202.92/202.80 [2724]~E(x27241,x27242)+E(f393(x27243,x27244,x27241),f393(x27243,x27244,x27242))
% 202.92/202.80 [2725]~E(x27251,x27252)+E(f795(x27251,x27253),f795(x27252,x27253))
% 202.92/202.80 [2726]~E(x27261,x27262)+E(f795(x27263,x27261),f795(x27263,x27262))
% 202.92/202.80 [2727]~E(x27271,x27272)+E(f578(x27271,x27273,x27274),f578(x27272,x27273,x27274))
% 202.92/202.80 [2728]~E(x27281,x27282)+E(f578(x27283,x27281,x27284),f578(x27283,x27282,x27284))
% 202.92/202.80 [2729]~E(x27291,x27292)+E(f578(x27293,x27294,x27291),f578(x27293,x27294,x27292))
% 202.92/202.80 [2730]~E(x27301,x27302)+E(f478(x27301,x27303,x27304,x27305),f478(x27302,x27303,x27304,x27305))
% 202.92/202.80 [2731]~E(x27311,x27312)+E(f478(x27313,x27311,x27314,x27315),f478(x27313,x27312,x27314,x27315))
% 202.92/202.80 [2732]~E(x27321,x27322)+E(f478(x27323,x27324,x27321,x27325),f478(x27323,x27324,x27322,x27325))
% 202.92/202.80 [2733]~E(x27331,x27332)+E(f478(x27333,x27334,x27335,x27331),f478(x27333,x27334,x27335,x27332))
% 202.92/202.80 [2734]~E(x27341,x27342)+E(f504(x27341,x27343,x27344),f504(x27342,x27343,x27344))
% 202.92/202.80 [2735]~E(x27351,x27352)+E(f504(x27353,x27351,x27354),f504(x27353,x27352,x27354))
% 202.92/202.80 [2736]~E(x27361,x27362)+E(f504(x27363,x27364,x27361),f504(x27363,x27364,x27362))
% 202.92/202.80 [2737]~E(x27371,x27372)+E(f511(x27371,x27373,x27374,x27375,x27376),f511(x27372,x27373,x27374,x27375,x27376))
% 202.92/202.80 [2738]~E(x27381,x27382)+E(f511(x27383,x27381,x27384,x27385,x27386),f511(x27383,x27382,x27384,x27385,x27386))
% 202.92/202.80 [2739]~E(x27391,x27392)+E(f511(x27393,x27394,x27391,x27395,x27396),f511(x27393,x27394,x27392,x27395,x27396))
% 202.92/202.80 [2740]~E(x27401,x27402)+E(f511(x27403,x27404,x27405,x27401,x27406),f511(x27403,x27404,x27405,x27402,x27406))
% 202.92/202.80 [2741]~E(x27411,x27412)+E(f511(x27413,x27414,x27415,x27416,x27411),f511(x27413,x27414,x27415,x27416,x27412))
% 202.92/202.80 [2742]~E(x27421,x27422)+E(f385(x27421,x27423,x27424,x27425),f385(x27422,x27423,x27424,x27425))
% 202.92/202.80 [2743]~E(x27431,x27432)+E(f385(x27433,x27431,x27434,x27435),f385(x27433,x27432,x27434,x27435))
% 202.92/202.80 [2744]~E(x27441,x27442)+E(f385(x27443,x27444,x27441,x27445),f385(x27443,x27444,x27442,x27445))
% 202.92/202.80 [2745]~E(x27451,x27452)+E(f385(x27453,x27454,x27455,x27451),f385(x27453,x27454,x27455,x27452))
% 202.92/202.80 [2746]~E(x27461,x27462)+E(f215(x27461,x27463,x27464,x27465,x27466),f215(x27462,x27463,x27464,x27465,x27466))
% 202.92/202.80 [2747]~E(x27471,x27472)+E(f215(x27473,x27471,x27474,x27475,x27476),f215(x27473,x27472,x27474,x27475,x27476))
% 202.92/202.80 [2748]~E(x27481,x27482)+E(f215(x27483,x27484,x27481,x27485,x27486),f215(x27483,x27484,x27482,x27485,x27486))
% 202.92/202.80 [2749]~E(x27491,x27492)+E(f215(x27493,x27494,x27495,x27491,x27496),f215(x27493,x27494,x27495,x27492,x27496))
% 202.92/202.80 [2750]~E(x27501,x27502)+E(f215(x27503,x27504,x27505,x27506,x27501),f215(x27503,x27504,x27505,x27506,x27502))
% 202.92/202.80 [2751]~E(x27511,x27512)+E(f814(x27511,x27513,x27514),f814(x27512,x27513,x27514))
% 202.92/202.80 [2752]~E(x27521,x27522)+E(f814(x27523,x27521,x27524),f814(x27523,x27522,x27524))
% 202.92/202.80 [2753]~E(x27531,x27532)+E(f814(x27533,x27534,x27531),f814(x27533,x27534,x27532))
% 202.92/202.80 [2754]~E(x27541,x27542)+E(f766(x27541,x27543,x27544),f766(x27542,x27543,x27544))
% 202.92/202.80 [2755]~E(x27551,x27552)+E(f766(x27553,x27551,x27554),f766(x27553,x27552,x27554))
% 202.92/202.80 [2756]~E(x27561,x27562)+E(f766(x27563,x27564,x27561),f766(x27563,x27564,x27562))
% 202.92/202.80 [2757]~E(x27571,x27572)+E(f118(x27571,x27573,x27574,x27575,x27576),f118(x27572,x27573,x27574,x27575,x27576))
% 202.92/202.80 [2758]~E(x27581,x27582)+E(f118(x27583,x27581,x27584,x27585,x27586),f118(x27583,x27582,x27584,x27585,x27586))
% 202.92/202.80 [2759]~E(x27591,x27592)+E(f118(x27593,x27594,x27591,x27595,x27596),f118(x27593,x27594,x27592,x27595,x27596))
% 202.92/202.80 [2760]~E(x27601,x27602)+E(f118(x27603,x27604,x27605,x27601,x27606),f118(x27603,x27604,x27605,x27602,x27606))
% 202.92/202.80 [2761]~E(x27611,x27612)+E(f118(x27613,x27614,x27615,x27616,x27611),f118(x27613,x27614,x27615,x27616,x27612))
% 202.92/202.80 [2762]~E(x27621,x27622)+E(f346(x27621,x27623,x27624,x27625),f346(x27622,x27623,x27624,x27625))
% 202.92/202.80 [2763]~E(x27631,x27632)+E(f346(x27633,x27631,x27634,x27635),f346(x27633,x27632,x27634,x27635))
% 202.92/202.80 [2764]~E(x27641,x27642)+E(f346(x27643,x27644,x27641,x27645),f346(x27643,x27644,x27642,x27645))
% 202.92/202.80 [2765]~E(x27651,x27652)+E(f346(x27653,x27654,x27655,x27651),f346(x27653,x27654,x27655,x27652))
% 202.92/202.80 [2766]~E(x27661,x27662)+E(f484(x27661,x27663,x27664,x27665,x27666),f484(x27662,x27663,x27664,x27665,x27666))
% 202.92/202.80 [2767]~E(x27671,x27672)+E(f484(x27673,x27671,x27674,x27675,x27676),f484(x27673,x27672,x27674,x27675,x27676))
% 202.92/202.80 [2768]~E(x27681,x27682)+E(f484(x27683,x27684,x27681,x27685,x27686),f484(x27683,x27684,x27682,x27685,x27686))
% 202.92/202.80 [2769]~E(x27691,x27692)+E(f484(x27693,x27694,x27695,x27691,x27696),f484(x27693,x27694,x27695,x27692,x27696))
% 202.92/202.80 [2770]~E(x27701,x27702)+E(f484(x27703,x27704,x27705,x27706,x27701),f484(x27703,x27704,x27705,x27706,x27702))
% 202.92/202.80 [2771]~E(x27711,x27712)+E(f580(x27711,x27713,x27714,x27715),f580(x27712,x27713,x27714,x27715))
% 202.92/202.80 [2772]~E(x27721,x27722)+E(f580(x27723,x27721,x27724,x27725),f580(x27723,x27722,x27724,x27725))
% 202.92/202.80 [2773]~E(x27731,x27732)+E(f580(x27733,x27734,x27731,x27735),f580(x27733,x27734,x27732,x27735))
% 202.92/202.80 [2774]~E(x27741,x27742)+E(f580(x27743,x27744,x27745,x27741),f580(x27743,x27744,x27745,x27742))
% 202.92/202.80 [2775]~E(x27751,x27752)+E(f753(x27751,x27753),f753(x27752,x27753))
% 202.92/202.80 [2776]~E(x27761,x27762)+E(f753(x27763,x27761),f753(x27763,x27762))
% 202.92/202.80 [2777]~E(x27771,x27772)+E(f765(x27771,x27773,x27774),f765(x27772,x27773,x27774))
% 202.92/202.80 [2778]~E(x27781,x27782)+E(f765(x27783,x27781,x27784),f765(x27783,x27782,x27784))
% 202.92/202.80 [2779]~E(x27791,x27792)+E(f765(x27793,x27794,x27791),f765(x27793,x27794,x27792))
% 202.92/202.80 [2780]~E(x27801,x27802)+E(f600(x27801,x27803,x27804),f600(x27802,x27803,x27804))
% 202.92/202.80 [2781]~E(x27811,x27812)+E(f600(x27813,x27811,x27814),f600(x27813,x27812,x27814))
% 202.92/202.80 [2782]~E(x27821,x27822)+E(f600(x27823,x27824,x27821),f600(x27823,x27824,x27822))
% 202.92/202.80 [2783]~E(x27831,x27832)+E(f213(x27831,x27833,x27834),f213(x27832,x27833,x27834))
% 202.92/202.80 [2784]~E(x27841,x27842)+E(f213(x27843,x27841,x27844),f213(x27843,x27842,x27844))
% 202.92/202.80 [2785]~E(x27851,x27852)+E(f213(x27853,x27854,x27851),f213(x27853,x27854,x27852))
% 202.92/202.80 [2786]~E(x27861,x27862)+E(f463(x27861,x27863,x27864),f463(x27862,x27863,x27864))
% 202.92/202.80 [2787]~E(x27871,x27872)+E(f463(x27873,x27871,x27874),f463(x27873,x27872,x27874))
% 202.92/202.80 [2788]~E(x27881,x27882)+E(f463(x27883,x27884,x27881),f463(x27883,x27884,x27882))
% 202.92/202.80 [2789]~E(x27891,x27892)+E(f490(x27891,x27893),f490(x27892,x27893))
% 202.92/202.80 [2790]~E(x27901,x27902)+E(f490(x27903,x27901),f490(x27903,x27902))
% 202.92/202.80 [2791]~E(x27911,x27912)+E(f189(x27911,x27913,x27914,x27915),f189(x27912,x27913,x27914,x27915))
% 202.92/202.80 [2792]~E(x27921,x27922)+E(f189(x27923,x27921,x27924,x27925),f189(x27923,x27922,x27924,x27925))
% 202.92/202.80 [2793]~E(x27931,x27932)+E(f189(x27933,x27934,x27931,x27935),f189(x27933,x27934,x27932,x27935))
% 202.92/202.80 [2794]~E(x27941,x27942)+E(f189(x27943,x27944,x27945,x27941),f189(x27943,x27944,x27945,x27942))
% 202.92/202.80 [2795]~E(x27951,x27952)+E(f764(x27951,x27953,x27954),f764(x27952,x27953,x27954))
% 202.92/202.80 [2796]~E(x27961,x27962)+E(f764(x27963,x27961,x27964),f764(x27963,x27962,x27964))
% 202.92/202.80 [2797]~E(x27971,x27972)+E(f764(x27973,x27974,x27971),f764(x27973,x27974,x27972))
% 202.92/202.80 [2798]~E(x27981,x27982)+E(f690(x27981,x27983,x27984),f690(x27982,x27983,x27984))
% 202.92/202.80 [2799]~E(x27991,x27992)+E(f690(x27993,x27991,x27994),f690(x27993,x27992,x27994))
% 202.92/202.80 [2800]~E(x28001,x28002)+E(f690(x28003,x28004,x28001),f690(x28003,x28004,x28002))
% 202.92/202.80 [2801]~E(x28011,x28012)+E(f267(x28011,x28013,x28014,x28015),f267(x28012,x28013,x28014,x28015))
% 202.92/202.80 [2802]~E(x28021,x28022)+E(f267(x28023,x28021,x28024,x28025),f267(x28023,x28022,x28024,x28025))
% 202.92/202.80 [2803]~E(x28031,x28032)+E(f267(x28033,x28034,x28031,x28035),f267(x28033,x28034,x28032,x28035))
% 202.92/202.80 [2804]~E(x28041,x28042)+E(f267(x28043,x28044,x28045,x28041),f267(x28043,x28044,x28045,x28042))
% 202.92/202.80 [2805]~E(x28051,x28052)+E(f642(x28051,x28053,x28054,x28055,x28056),f642(x28052,x28053,x28054,x28055,x28056))
% 202.92/202.80 [2806]~E(x28061,x28062)+E(f642(x28063,x28061,x28064,x28065,x28066),f642(x28063,x28062,x28064,x28065,x28066))
% 202.92/202.80 [2807]~E(x28071,x28072)+E(f642(x28073,x28074,x28071,x28075,x28076),f642(x28073,x28074,x28072,x28075,x28076))
% 202.92/202.80 [2808]~E(x28081,x28082)+E(f642(x28083,x28084,x28085,x28081,x28086),f642(x28083,x28084,x28085,x28082,x28086))
% 202.92/202.80 [2809]~E(x28091,x28092)+E(f642(x28093,x28094,x28095,x28096,x28091),f642(x28093,x28094,x28095,x28096,x28092))
% 202.92/202.80 [2810]~E(x28101,x28102)+E(f328(x28101),f328(x28102))
% 202.92/202.80 [2811]~E(x28111,x28112)+E(f739(x28111,x28113,x28114,x28115),f739(x28112,x28113,x28114,x28115))
% 202.92/202.80 [2812]~E(x28121,x28122)+E(f739(x28123,x28121,x28124,x28125),f739(x28123,x28122,x28124,x28125))
% 202.92/202.80 [2813]~E(x28131,x28132)+E(f739(x28133,x28134,x28131,x28135),f739(x28133,x28134,x28132,x28135))
% 202.92/202.80 [2814]~E(x28141,x28142)+E(f739(x28143,x28144,x28145,x28141),f739(x28143,x28144,x28145,x28142))
% 202.92/202.80 [2815]~E(x28151,x28152)+E(f829(x28151,x28153,x28154,x28155),f829(x28152,x28153,x28154,x28155))
% 202.92/202.80 [2816]~E(x28161,x28162)+E(f829(x28163,x28161,x28164,x28165),f829(x28163,x28162,x28164,x28165))
% 202.92/202.80 [2817]~E(x28171,x28172)+E(f829(x28173,x28174,x28171,x28175),f829(x28173,x28174,x28172,x28175))
% 202.92/202.80 [2818]~E(x28181,x28182)+E(f829(x28183,x28184,x28185,x28181),f829(x28183,x28184,x28185,x28182))
% 202.92/202.80 [2819]~E(x28191,x28192)+E(f629(x28191,x28193,x28194),f629(x28192,x28193,x28194))
% 202.92/202.80 [2820]~E(x28201,x28202)+E(f629(x28203,x28201,x28204),f629(x28203,x28202,x28204))
% 202.92/202.80 [2821]~E(x28211,x28212)+E(f629(x28213,x28214,x28211),f629(x28213,x28214,x28212))
% 202.92/202.80 [2822]~E(x28221,x28222)+E(f651(x28221,x28223),f651(x28222,x28223))
% 202.92/202.80 [2823]~E(x28231,x28232)+E(f651(x28233,x28231),f651(x28233,x28232))
% 202.92/202.80 [2824]~E(x28241,x28242)+E(f755(x28241,x28243),f755(x28242,x28243))
% 202.92/202.80 [2825]~E(x28251,x28252)+E(f755(x28253,x28251),f755(x28253,x28252))
% 202.92/202.80 [2826]~E(x28261,x28262)+E(f560(x28261,x28263,x28264,x28265),f560(x28262,x28263,x28264,x28265))
% 202.92/202.80 [2827]~E(x28271,x28272)+E(f560(x28273,x28271,x28274,x28275),f560(x28273,x28272,x28274,x28275))
% 202.92/202.80 [2828]~E(x28281,x28282)+E(f560(x28283,x28284,x28281,x28285),f560(x28283,x28284,x28282,x28285))
% 202.92/202.80 [2829]~E(x28291,x28292)+E(f560(x28293,x28294,x28295,x28291),f560(x28293,x28294,x28295,x28292))
% 202.92/202.80 [2830]~E(x28301,x28302)+E(f114(x28301),f114(x28302))
% 202.92/202.80 [2831]~E(x28311,x28312)+E(f834(x28311),f834(x28312))
% 202.92/202.80 [2832]~E(x28321,x28322)+E(f550(x28321,x28323,x28324,x28325,x28326,x28327),f550(x28322,x28323,x28324,x28325,x28326,x28327))
% 202.92/202.80 [2833]~E(x28331,x28332)+E(f550(x28333,x28331,x28334,x28335,x28336,x28337),f550(x28333,x28332,x28334,x28335,x28336,x28337))
% 202.92/202.80 [2834]~E(x28341,x28342)+E(f550(x28343,x28344,x28341,x28345,x28346,x28347),f550(x28343,x28344,x28342,x28345,x28346,x28347))
% 202.92/202.80 [2835]~E(x28351,x28352)+E(f550(x28353,x28354,x28355,x28351,x28356,x28357),f550(x28353,x28354,x28355,x28352,x28356,x28357))
% 202.92/202.80 [2836]~E(x28361,x28362)+E(f550(x28363,x28364,x28365,x28366,x28361,x28367),f550(x28363,x28364,x28365,x28366,x28362,x28367))
% 202.92/202.80 [2837]~E(x28371,x28372)+E(f550(x28373,x28374,x28375,x28376,x28377,x28371),f550(x28373,x28374,x28375,x28376,x28377,x28372))
% 202.92/202.80 [2838]~E(x28381,x28382)+E(f768(x28381,x28383,x28384),f768(x28382,x28383,x28384))
% 202.92/202.80 [2839]~E(x28391,x28392)+E(f768(x28393,x28391,x28394),f768(x28393,x28392,x28394))
% 202.92/202.80 [2840]~E(x28401,x28402)+E(f768(x28403,x28404,x28401),f768(x28403,x28404,x28402))
% 202.92/202.80 [2841]~E(x28411,x28412)+E(f695(x28411,x28413,x28414),f695(x28412,x28413,x28414))
% 202.92/202.80 [2842]~E(x28421,x28422)+E(f695(x28423,x28421,x28424),f695(x28423,x28422,x28424))
% 202.92/202.80 [2843]~E(x28431,x28432)+E(f695(x28433,x28434,x28431),f695(x28433,x28434,x28432))
% 202.92/202.80 [2844]~E(x28441,x28442)+E(f583(x28441,x28443),f583(x28442,x28443))
% 202.92/202.80 [2845]~E(x28451,x28452)+E(f583(x28453,x28451),f583(x28453,x28452))
% 202.92/202.80 [2846]~P1(x28461)+P1(x28462)+~E(x28461,x28462)
% 202.92/202.80 [2847]~P2(x28471)+P2(x28472)+~E(x28471,x28472)
% 202.92/202.80 [2848]~P113(x28481)+P113(x28482)+~E(x28481,x28482)
% 202.92/202.80 [2849]~P4(x28491)+P4(x28492)+~E(x28491,x28492)
% 202.92/202.80 [2850]P52(x28502,x28503,x28504)+~E(x28501,x28502)+~P52(x28501,x28503,x28504)
% 202.92/202.80 [2851]P52(x28513,x28512,x28514)+~E(x28511,x28512)+~P52(x28513,x28511,x28514)
% 202.92/202.80 [2852]P52(x28523,x28524,x28522)+~E(x28521,x28522)+~P52(x28523,x28524,x28521)
% 202.92/202.80 [2853]~P3(x28531)+P3(x28532)+~E(x28531,x28532)
% 202.92/202.80 [2854]P25(x28542,x28543,x28544,x28545)+~E(x28541,x28542)+~P25(x28541,x28543,x28544,x28545)
% 202.92/202.80 [2855]P25(x28553,x28552,x28554,x28555)+~E(x28551,x28552)+~P25(x28553,x28551,x28554,x28555)
% 202.92/202.80 [2856]P25(x28563,x28564,x28562,x28565)+~E(x28561,x28562)+~P25(x28563,x28564,x28561,x28565)
% 202.92/202.80 [2857]P25(x28573,x28574,x28575,x28572)+~E(x28571,x28572)+~P25(x28573,x28574,x28575,x28571)
% 202.92/202.80 [2858]P152(x28582,x28583,x28584)+~E(x28581,x28582)+~P152(x28581,x28583,x28584)
% 202.92/202.80 [2859]P152(x28593,x28592,x28594)+~E(x28591,x28592)+~P152(x28593,x28591,x28594)
% 202.92/202.80 [2860]P152(x28603,x28604,x28602)+~E(x28601,x28602)+~P152(x28603,x28604,x28601)
% 202.92/202.80 [2861]P17(x28612,x28613,x28614)+~E(x28611,x28612)+~P17(x28611,x28613,x28614)
% 202.92/202.80 [2862]P17(x28623,x28622,x28624)+~E(x28621,x28622)+~P17(x28623,x28621,x28624)
% 202.92/202.80 [2863]P17(x28633,x28634,x28632)+~E(x28631,x28632)+~P17(x28633,x28634,x28631)
% 202.92/202.80 [2864]~P67(x28641)+P67(x28642)+~E(x28641,x28642)
% 202.92/202.80 [2865]~P93(x28651)+P93(x28652)+~E(x28651,x28652)
% 202.92/202.80 [2866]~P100(x28661)+P100(x28662)+~E(x28661,x28662)
% 202.92/202.80 [2867]~P104(x28671)+P104(x28672)+~E(x28671,x28672)
% 202.92/202.80 [2868]~P83(x28681)+P83(x28682)+~E(x28681,x28682)
% 202.92/202.80 [2869]~P78(x28691)+P78(x28692)+~E(x28691,x28692)
% 202.92/202.80 [2870]~P118(x28701)+P118(x28702)+~E(x28701,x28702)
% 202.92/202.80 [2871]~P5(x28711)+P5(x28712)+~E(x28711,x28712)
% 202.92/202.80 [2872]~P114(x28721)+P114(x28722)+~E(x28721,x28722)
% 202.92/202.80 [2873]~P64(x28731)+P64(x28732)+~E(x28731,x28732)
% 202.92/202.80 [2874]P37(x28742,x28743,x28744)+~E(x28741,x28742)+~P37(x28741,x28743,x28744)
% 202.92/202.80 [2875]P37(x28753,x28752,x28754)+~E(x28751,x28752)+~P37(x28753,x28751,x28754)
% 202.92/202.80 [2876]P37(x28763,x28764,x28762)+~E(x28761,x28762)+~P37(x28763,x28764,x28761)
% 202.92/202.80 [2877]~P115(x28771)+P115(x28772)+~E(x28771,x28772)
% 202.92/202.80 [2878]P28(x28782,x28783,x28784)+~E(x28781,x28782)+~P28(x28781,x28783,x28784)
% 202.92/202.80 [2879]P28(x28793,x28792,x28794)+~E(x28791,x28792)+~P28(x28793,x28791,x28794)
% 202.92/202.80 [2880]P28(x28803,x28804,x28802)+~E(x28801,x28802)+~P28(x28803,x28804,x28801)
% 202.92/202.80 [2881]~P76(x28811)+P76(x28812)+~E(x28811,x28812)
% 202.92/202.80 [2882]~P65(x28821)+P65(x28822)+~E(x28821,x28822)
% 202.92/202.80 [2883]~P103(x28831)+P103(x28832)+~E(x28831,x28832)
% 202.92/202.80 [2884]~P101(x28841)+P101(x28842)+~E(x28841,x28842)
% 202.92/202.80 [2885]P53(x28852,x28853)+~E(x28851,x28852)+~P53(x28851,x28853)
% 202.92/202.80 [2886]P53(x28863,x28862)+~E(x28861,x28862)+~P53(x28863,x28861)
% 202.92/202.80 [2887]~P109(x28871)+P109(x28872)+~E(x28871,x28872)
% 202.92/202.80 [2888]P61(x28882,x28883)+~E(x28881,x28882)+~P61(x28881,x28883)
% 202.92/202.80 [2889]P61(x28893,x28892)+~E(x28891,x28892)+~P61(x28893,x28891)
% 202.92/202.80 [2890]~P132(x28901)+P132(x28902)+~E(x28901,x28902)
% 202.92/202.80 [2891]P51(x28912,x28913)+~E(x28911,x28912)+~P51(x28911,x28913)
% 202.92/202.80 [2892]P51(x28923,x28922)+~E(x28921,x28922)+~P51(x28923,x28921)
% 202.92/202.80 [2893]P56(x28932,x28933,x28934)+~E(x28931,x28932)+~P56(x28931,x28933,x28934)
% 202.92/202.80 [2894]P56(x28943,x28942,x28944)+~E(x28941,x28942)+~P56(x28943,x28941,x28944)
% 202.92/202.80 [2895]P56(x28953,x28954,x28952)+~E(x28951,x28952)+~P56(x28953,x28954,x28951)
% 202.92/202.80 [2896]~P84(x28961)+P84(x28962)+~E(x28961,x28962)
% 202.92/202.80 [2897]~P105(x28971)+P105(x28972)+~E(x28971,x28972)
% 202.92/202.80 [2898]~P107(x28981)+P107(x28982)+~E(x28981,x28982)
% 202.92/202.80 [2899]~P95(x28991)+P95(x28992)+~E(x28991,x28992)
% 202.92/202.80 [2900]~P116(x29001)+P116(x29002)+~E(x29001,x29002)
% 202.92/202.80 [2901]~P108(x29011)+P108(x29012)+~E(x29011,x29012)
% 202.92/202.80 [2902]~P66(x29021)+P66(x29022)+~E(x29021,x29022)
% 202.92/202.80 [2903]P151(x29032,x29033,x29034)+~E(x29031,x29032)+~P151(x29031,x29033,x29034)
% 202.92/202.80 [2904]P151(x29043,x29042,x29044)+~E(x29041,x29042)+~P151(x29043,x29041,x29044)
% 202.92/202.80 [2905]P151(x29053,x29054,x29052)+~E(x29051,x29052)+~P151(x29053,x29054,x29051)
% 202.92/202.80 [2906]P13(x29062,x29063)+~E(x29061,x29062)+~P13(x29061,x29063)
% 202.92/202.80 [2907]P13(x29073,x29072)+~E(x29071,x29072)+~P13(x29073,x29071)
% 202.92/202.80 [2908]~P68(x29081)+P68(x29082)+~E(x29081,x29082)
% 202.92/202.80 [2909]~P85(x29091)+P85(x29092)+~E(x29091,x29092)
% 202.92/202.80 [2910]P7(x29102,x29103)+~E(x29101,x29102)+~P7(x29101,x29103)
% 202.92/202.80 [2911]P7(x29113,x29112)+~E(x29111,x29112)+~P7(x29113,x29111)
% 202.92/202.80 [2912]P36(x29122,x29123,x29124,x29125,x29126)+~E(x29121,x29122)+~P36(x29121,x29123,x29124,x29125,x29126)
% 202.92/202.80 [2913]P36(x29133,x29132,x29134,x29135,x29136)+~E(x29131,x29132)+~P36(x29133,x29131,x29134,x29135,x29136)
% 202.92/202.80 [2914]P36(x29143,x29144,x29142,x29145,x29146)+~E(x29141,x29142)+~P36(x29143,x29144,x29141,x29145,x29146)
% 202.92/202.80 [2915]P36(x29153,x29154,x29155,x29152,x29156)+~E(x29151,x29152)+~P36(x29153,x29154,x29155,x29151,x29156)
% 202.92/202.80 [2916]P36(x29163,x29164,x29165,x29166,x29162)+~E(x29161,x29162)+~P36(x29163,x29164,x29165,x29166,x29161)
% 202.92/202.80 [2917]P42(x29172,x29173,x29174)+~E(x29171,x29172)+~P42(x29171,x29173,x29174)
% 202.92/202.80 [2918]P42(x29183,x29182,x29184)+~E(x29181,x29182)+~P42(x29183,x29181,x29184)
% 202.92/202.80 [2919]P42(x29193,x29194,x29192)+~E(x29191,x29192)+~P42(x29193,x29194,x29191)
% 202.92/202.80 [2920]~P69(x29201)+P69(x29202)+~E(x29201,x29202)
% 202.92/202.80 [2921]~P98(x29211)+P98(x29212)+~E(x29211,x29212)
% 202.92/202.80 [2922]P35(x29222,x29223,x29224)+~E(x29221,x29222)+~P35(x29221,x29223,x29224)
% 202.92/202.80 [2923]P35(x29233,x29232,x29234)+~E(x29231,x29232)+~P35(x29233,x29231,x29234)
% 202.92/202.80 [2924]P35(x29243,x29244,x29242)+~E(x29241,x29242)+~P35(x29243,x29244,x29241)
% 202.92/202.80 [2925]P16(x29252,x29253)+~E(x29251,x29252)+~P16(x29251,x29253)
% 202.92/202.80 [2926]P16(x29263,x29262)+~E(x29261,x29262)+~P16(x29263,x29261)
% 202.92/202.80 [2927]~P86(x29271)+P86(x29272)+~E(x29271,x29272)
% 202.92/202.80 [2928]P19(x29282,x29283,x29284)+~E(x29281,x29282)+~P19(x29281,x29283,x29284)
% 202.92/202.80 [2929]P19(x29293,x29292,x29294)+~E(x29291,x29292)+~P19(x29293,x29291,x29294)
% 202.92/202.80 [2930]P19(x29303,x29304,x29302)+~E(x29301,x29302)+~P19(x29303,x29304,x29301)
% 202.92/202.80 [2931]P20(x29312,x29313,x29314,x29315)+~E(x29311,x29312)+~P20(x29311,x29313,x29314,x29315)
% 202.92/202.80 [2932]P20(x29323,x29322,x29324,x29325)+~E(x29321,x29322)+~P20(x29323,x29321,x29324,x29325)
% 202.92/202.80 [2933]P20(x29333,x29334,x29332,x29335)+~E(x29331,x29332)+~P20(x29333,x29334,x29331,x29335)
% 202.92/202.80 [2934]P20(x29343,x29344,x29345,x29342)+~E(x29341,x29342)+~P20(x29343,x29344,x29345,x29341)
% 202.92/202.80 [2935]~P122(x29351)+P122(x29352)+~E(x29351,x29352)
% 202.92/202.80 [2936]~P135(x29361)+P135(x29362)+~E(x29361,x29362)
% 202.92/202.80 [2937]~P129(x29371)+P129(x29372)+~E(x29371,x29372)
% 202.92/202.80 [2938]P39(x29382,x29383)+~E(x29381,x29382)+~P39(x29381,x29383)
% 202.92/202.80 [2939]P39(x29393,x29392)+~E(x29391,x29392)+~P39(x29393,x29391)
% 202.92/202.80 [2940]P8(x29402,x29403,x29404)+~E(x29401,x29402)+~P8(x29401,x29403,x29404)
% 202.92/202.80 [2941]P8(x29413,x29412,x29414)+~E(x29411,x29412)+~P8(x29413,x29411,x29414)
% 202.92/202.80 [2942]P8(x29423,x29424,x29422)+~E(x29421,x29422)+~P8(x29423,x29424,x29421)
% 202.92/202.80 [2943]~P138(x29431)+P138(x29432)+~E(x29431,x29432)
% 202.92/202.80 [2944]~P130(x29441)+P130(x29442)+~E(x29441,x29442)
% 202.92/202.80 [2945]P26(x29452,x29453,x29454,x29455,x29456)+~E(x29451,x29452)+~P26(x29451,x29453,x29454,x29455,x29456)
% 202.92/202.80 [2946]P26(x29463,x29462,x29464,x29465,x29466)+~E(x29461,x29462)+~P26(x29463,x29461,x29464,x29465,x29466)
% 202.92/202.80 [2947]P26(x29473,x29474,x29472,x29475,x29476)+~E(x29471,x29472)+~P26(x29473,x29474,x29471,x29475,x29476)
% 202.92/202.80 [2948]P26(x29483,x29484,x29485,x29482,x29486)+~E(x29481,x29482)+~P26(x29483,x29484,x29485,x29481,x29486)
% 202.92/202.80 [2949]P26(x29493,x29494,x29495,x29496,x29492)+~E(x29491,x29492)+~P26(x29493,x29494,x29495,x29496,x29491)
% 202.92/202.80 [2950]~P145(x29501)+P145(x29502)+~E(x29501,x29502)
% 202.92/202.80 [2951]~P117(x29511)+P117(x29512)+~E(x29511,x29512)
% 202.92/202.80 [2952]~P139(x29521)+P139(x29522)+~E(x29521,x29522)
% 202.92/202.80 [2953]~P140(x29531)+P140(x29532)+~E(x29531,x29532)
% 202.92/202.80 [2954]P31(x29542,x29543,x29544)+~E(x29541,x29542)+~P31(x29541,x29543,x29544)
% 202.92/202.80 [2955]P31(x29553,x29552,x29554)+~E(x29551,x29552)+~P31(x29553,x29551,x29554)
% 202.92/202.80 [2956]P31(x29563,x29564,x29562)+~E(x29561,x29562)+~P31(x29563,x29564,x29561)
% 202.92/202.80 [2957]P33(x29572,x29573,x29574)+~E(x29571,x29572)+~P33(x29571,x29573,x29574)
% 202.92/202.80 [2958]P33(x29583,x29582,x29584)+~E(x29581,x29582)+~P33(x29583,x29581,x29584)
% 202.92/202.80 [2959]P33(x29593,x29594,x29592)+~E(x29591,x29592)+~P33(x29593,x29594,x29591)
% 202.92/202.80 [2960]~P141(x29601)+P141(x29602)+~E(x29601,x29602)
% 202.92/202.80 [2961]~P143(x29611)+P143(x29612)+~E(x29611,x29612)
% 202.92/202.80 [2962]~P111(x29621)+P111(x29622)+~E(x29621,x29622)
% 202.92/202.80 [2963]~P70(x29631)+P70(x29632)+~E(x29631,x29632)
% 202.92/202.80 [2964]~P142(x29641)+P142(x29642)+~E(x29641,x29642)
% 202.92/202.80 [2965]P60(x29652,x29653,x29654,x29655,x29656)+~E(x29651,x29652)+~P60(x29651,x29653,x29654,x29655,x29656)
% 202.92/202.80 [2966]P60(x29663,x29662,x29664,x29665,x29666)+~E(x29661,x29662)+~P60(x29663,x29661,x29664,x29665,x29666)
% 202.92/202.80 [2967]P60(x29673,x29674,x29672,x29675,x29676)+~E(x29671,x29672)+~P60(x29673,x29674,x29671,x29675,x29676)
% 202.92/202.80 [2968]P60(x29683,x29684,x29685,x29682,x29686)+~E(x29681,x29682)+~P60(x29683,x29684,x29685,x29681,x29686)
% 202.92/202.80 [2969]P60(x29693,x29694,x29695,x29696,x29692)+~E(x29691,x29692)+~P60(x29693,x29694,x29695,x29696,x29691)
% 202.92/202.80 [2970]~P77(x29701)+P77(x29702)+~E(x29701,x29702)
% 202.92/202.80 [2971]~P131(x29711)+P131(x29712)+~E(x29711,x29712)
% 202.92/202.80 [2972]P10(x29722,x29723,x29724,x29725,x29726)+~E(x29721,x29722)+~P10(x29721,x29723,x29724,x29725,x29726)
% 202.92/202.80 [2973]P10(x29733,x29732,x29734,x29735,x29736)+~E(x29731,x29732)+~P10(x29733,x29731,x29734,x29735,x29736)
% 202.92/202.80 [2974]P10(x29743,x29744,x29742,x29745,x29746)+~E(x29741,x29742)+~P10(x29743,x29744,x29741,x29745,x29746)
% 202.92/202.80 [2975]P10(x29753,x29754,x29755,x29752,x29756)+~E(x29751,x29752)+~P10(x29753,x29754,x29755,x29751,x29756)
% 202.92/202.80 [2976]P10(x29763,x29764,x29765,x29766,x29762)+~E(x29761,x29762)+~P10(x29763,x29764,x29765,x29766,x29761)
% 202.92/202.80 [2977]~P133(x29771)+P133(x29772)+~E(x29771,x29772)
% 202.92/202.80 [2978]P12(x29782,x29783,x29784,x29785,x29786,x29787)+~E(x29781,x29782)+~P12(x29781,x29783,x29784,x29785,x29786,x29787)
% 202.92/202.80 [2979]P12(x29793,x29792,x29794,x29795,x29796,x29797)+~E(x29791,x29792)+~P12(x29793,x29791,x29794,x29795,x29796,x29797)
% 202.92/202.80 [2980]P12(x29803,x29804,x29802,x29805,x29806,x29807)+~E(x29801,x29802)+~P12(x29803,x29804,x29801,x29805,x29806,x29807)
% 202.92/202.80 [2981]P12(x29813,x29814,x29815,x29812,x29816,x29817)+~E(x29811,x29812)+~P12(x29813,x29814,x29815,x29811,x29816,x29817)
% 202.92/202.80 [2982]P12(x29823,x29824,x29825,x29826,x29822,x29827)+~E(x29821,x29822)+~P12(x29823,x29824,x29825,x29826,x29821,x29827)
% 202.92/202.80 [2983]P12(x29833,x29834,x29835,x29836,x29837,x29832)+~E(x29831,x29832)+~P12(x29833,x29834,x29835,x29836,x29837,x29831)
% 202.92/202.80 [2984]P23(x29842,x29843,x29844,x29845,x29846,x29847)+~E(x29841,x29842)+~P23(x29841,x29843,x29844,x29845,x29846,x29847)
% 202.92/202.80 [2985]P23(x29853,x29852,x29854,x29855,x29856,x29857)+~E(x29851,x29852)+~P23(x29853,x29851,x29854,x29855,x29856,x29857)
% 202.92/202.80 [2986]P23(x29863,x29864,x29862,x29865,x29866,x29867)+~E(x29861,x29862)+~P23(x29863,x29864,x29861,x29865,x29866,x29867)
% 202.92/202.80 [2987]P23(x29873,x29874,x29875,x29872,x29876,x29877)+~E(x29871,x29872)+~P23(x29873,x29874,x29875,x29871,x29876,x29877)
% 202.92/202.80 [2988]P23(x29883,x29884,x29885,x29886,x29882,x29887)+~E(x29881,x29882)+~P23(x29883,x29884,x29885,x29886,x29881,x29887)
% 202.92/202.80 [2989]P23(x29893,x29894,x29895,x29896,x29897,x29892)+~E(x29891,x29892)+~P23(x29893,x29894,x29895,x29896,x29897,x29891)
% 202.92/202.80 [2990]~P127(x29901)+P127(x29902)+~E(x29901,x29902)
% 202.92/202.80 [2991]~P74(x29911)+P74(x29912)+~E(x29911,x29912)
% 202.92/202.80 [2992]~P146(x29921)+P146(x29922)+~E(x29921,x29922)
% 202.92/202.80 [2993]~P134(x29931)+P134(x29932)+~E(x29931,x29932)
% 202.92/202.80 [2994]P41(x29942,x29943)+~E(x29941,x29942)+~P41(x29941,x29943)
% 202.92/202.80 [2995]P41(x29953,x29952)+~E(x29951,x29952)+~P41(x29953,x29951)
% 202.92/202.80 [2996]P32(x29962,x29963,x29964)+~E(x29961,x29962)+~P32(x29961,x29963,x29964)
% 202.92/202.80 [2997]P32(x29973,x29972,x29974)+~E(x29971,x29972)+~P32(x29973,x29971,x29974)
% 202.92/202.80 [2998]P32(x29983,x29984,x29982)+~E(x29981,x29982)+~P32(x29983,x29984,x29981)
% 202.92/202.80 [2999]~P92(x29991)+P92(x29992)+~E(x29991,x29992)
% 202.92/202.80 [3000]P30(x30002,x30003)+~E(x30001,x30002)+~P30(x30001,x30003)
% 202.92/202.80 [3001]P30(x30013,x30012)+~E(x30011,x30012)+~P30(x30013,x30011)
% 202.92/202.80 [3002]~P89(x30021)+P89(x30022)+~E(x30021,x30022)
% 202.92/202.80 [3003]P11(x30032,x30033,x30034,x30035)+~E(x30031,x30032)+~P11(x30031,x30033,x30034,x30035)
% 202.92/202.80 [3004]P11(x30043,x30042,x30044,x30045)+~E(x30041,x30042)+~P11(x30043,x30041,x30044,x30045)
% 202.92/202.80 [3005]P11(x30053,x30054,x30052,x30055)+~E(x30051,x30052)+~P11(x30053,x30054,x30051,x30055)
% 202.92/202.80 [3006]P11(x30063,x30064,x30065,x30062)+~E(x30061,x30062)+~P11(x30063,x30064,x30065,x30061)
% 202.92/202.80 [3007]~P91(x30071)+P91(x30072)+~E(x30071,x30072)
% 202.92/202.80 [3008]P55(x30082,x30083)+~E(x30081,x30082)+~P55(x30081,x30083)
% 202.92/202.80 [3009]P55(x30093,x30092)+~E(x30091,x30092)+~P55(x30093,x30091)
% 202.92/202.80 [3010]~P110(x30101)+P110(x30102)+~E(x30101,x30102)
% 202.92/202.80 [3011]P58(x30112,x30113,x30114)+~E(x30111,x30112)+~P58(x30111,x30113,x30114)
% 202.92/202.80 [3012]P58(x30123,x30122,x30124)+~E(x30121,x30122)+~P58(x30123,x30121,x30124)
% 202.92/202.80 [3013]P58(x30133,x30134,x30132)+~E(x30131,x30132)+~P58(x30133,x30134,x30131)
% 202.92/202.80 [3014]P54(x30142,x30143)+~E(x30141,x30142)+~P54(x30141,x30143)
% 202.92/202.80 [3015]P54(x30153,x30152)+~E(x30151,x30152)+~P54(x30153,x30151)
% 202.92/202.80 [3016]~P80(x30161)+P80(x30162)+~E(x30161,x30162)
% 202.92/202.80 [3017]P45(x30172,x30173,x30174,x30175,x30176,x30177)+~E(x30171,x30172)+~P45(x30171,x30173,x30174,x30175,x30176,x30177)
% 202.92/202.80 [3018]P45(x30183,x30182,x30184,x30185,x30186,x30187)+~E(x30181,x30182)+~P45(x30183,x30181,x30184,x30185,x30186,x30187)
% 202.92/202.80 [3019]P45(x30193,x30194,x30192,x30195,x30196,x30197)+~E(x30191,x30192)+~P45(x30193,x30194,x30191,x30195,x30196,x30197)
% 202.92/202.80 [3020]P45(x30203,x30204,x30205,x30202,x30206,x30207)+~E(x30201,x30202)+~P45(x30203,x30204,x30205,x30201,x30206,x30207)
% 202.92/202.80 [3021]P45(x30213,x30214,x30215,x30216,x30212,x30217)+~E(x30211,x30212)+~P45(x30213,x30214,x30215,x30216,x30211,x30217)
% 202.92/202.80 [3022]P45(x30223,x30224,x30225,x30226,x30227,x30222)+~E(x30221,x30222)+~P45(x30223,x30224,x30225,x30226,x30227,x30221)
% 202.92/202.80 [3023]~P149(x30231)+P149(x30232)+~E(x30231,x30232)
% 202.92/202.80 [3024]~P81(x30241)+P81(x30242)+~E(x30241,x30242)
% 202.92/202.80 [3025]~P90(x30251)+P90(x30252)+~E(x30251,x30252)
% 202.92/202.80 [3026]P27(x30262,x30263)+~E(x30261,x30262)+~P27(x30261,x30263)
% 202.92/202.80 [3027]P27(x30273,x30272)+~E(x30271,x30272)+~P27(x30273,x30271)
% 202.92/202.80 [3028]~P79(x30281)+P79(x30282)+~E(x30281,x30282)
% 202.92/202.80 [3029]~P38(x30291)+P38(x30292)+~E(x30291,x30292)
% 202.92/202.80 [3030]~P124(x30301)+P124(x30302)+~E(x30301,x30302)
% 202.92/202.80 [3031]~P88(x30311)+P88(x30312)+~E(x30311,x30312)
% 202.92/202.80 [3032]P40(x30322,x30323)+~E(x30321,x30322)+~P40(x30321,x30323)
% 202.92/202.80 [3033]P40(x30333,x30332)+~E(x30331,x30332)+~P40(x30333,x30331)
% 202.92/202.80 [3034]~P6(x30341)+P6(x30342)+~E(x30341,x30342)
% 202.92/202.80 [3035]P59(x30352,x30353,x30354)+~E(x30351,x30352)+~P59(x30351,x30353,x30354)
% 202.92/202.80 [3036]P59(x30363,x30362,x30364)+~E(x30361,x30362)+~P59(x30363,x30361,x30364)
% 202.92/202.80 [3037]P59(x30373,x30374,x30372)+~E(x30371,x30372)+~P59(x30373,x30374,x30371)
% 202.92/202.80 [3038]P18(x30382,x30383,x30384)+~E(x30381,x30382)+~P18(x30381,x30383,x30384)
% 202.92/202.80 [3039]P18(x30393,x30392,x30394)+~E(x30391,x30392)+~P18(x30393,x30391,x30394)
% 202.92/202.80 [3040]P18(x30403,x30404,x30402)+~E(x30401,x30402)+~P18(x30403,x30404,x30401)
% 202.92/202.80 [3041]~P72(x30411)+P72(x30412)+~E(x30411,x30412)
% 202.92/202.80 [3042]~P147(x30421)+P147(x30422)+~E(x30421,x30422)
% 202.92/202.80 [3043]~P75(x30431)+P75(x30432)+~E(x30431,x30432)
% 202.92/202.80 [3044]~P43(x30441)+P43(x30442)+~E(x30441,x30442)
% 202.92/202.80 [3045]P29(x30452,x30453,x30454)+~E(x30451,x30452)+~P29(x30451,x30453,x30454)
% 202.92/202.80 [3046]P29(x30463,x30462,x30464)+~E(x30461,x30462)+~P29(x30463,x30461,x30464)
% 202.92/202.80 [3047]P29(x30473,x30474,x30472)+~E(x30471,x30472)+~P29(x30473,x30474,x30471)
% 202.92/202.80 [3048]P14(x30482,x30483,x30484)+~E(x30481,x30482)+~P14(x30481,x30483,x30484)
% 202.92/202.80 [3049]P14(x30493,x30492,x30494)+~E(x30491,x30492)+~P14(x30493,x30491,x30494)
% 202.92/202.80 [3050]P14(x30503,x30504,x30502)+~E(x30501,x30502)+~P14(x30503,x30504,x30501)
% 202.92/202.80 [3051]~P73(x30511)+P73(x30512)+~E(x30511,x30512)
% 202.92/202.80 [3052]~P121(x30521)+P121(x30522)+~E(x30521,x30522)
% 202.92/202.80 [3053]~P148(x30531)+P148(x30532)+~E(x30531,x30532)
% 202.92/202.80 [3054]P46(x30542,x30543)+~E(x30541,x30542)+~P46(x30541,x30543)
% 202.92/202.80 [3055]P46(x30553,x30552)+~E(x30551,x30552)+~P46(x30553,x30551)
% 202.92/202.80 [3056]~P102(x30561)+P102(x30562)+~E(x30561,x30562)
% 202.92/202.80 [3057]~P125(x30571)+P125(x30572)+~E(x30571,x30572)
% 202.92/202.80 [3058]~P94(x30581)+P94(x30582)+~E(x30581,x30582)
% 202.92/202.80 [3059]P21(x30592,x30593,x30594,x30595)+~E(x30591,x30592)+~P21(x30591,x30593,x30594,x30595)
% 202.92/202.80 [3060]P21(x30603,x30602,x30604,x30605)+~E(x30601,x30602)+~P21(x30603,x30601,x30604,x30605)
% 202.92/202.80 [3061]P21(x30613,x30614,x30612,x30615)+~E(x30611,x30612)+~P21(x30613,x30614,x30611,x30615)
% 202.92/202.80 [3062]P21(x30623,x30624,x30625,x30622)+~E(x30621,x30622)+~P21(x30623,x30624,x30625,x30621)
% 202.92/202.80 [3063]~P99(x30631)+P99(x30632)+~E(x30631,x30632)
% 202.92/202.80 [3064]~P119(x30641)+P119(x30642)+~E(x30641,x30642)
% 202.92/202.80 [3065]P44(x30652,x30653,x30654,x30655)+~E(x30651,x30652)+~P44(x30651,x30653,x30654,x30655)
% 202.92/202.80 [3066]P44(x30663,x30662,x30664,x30665)+~E(x30661,x30662)+~P44(x30663,x30661,x30664,x30665)
% 202.92/202.80 [3067]P44(x30673,x30674,x30672,x30675)+~E(x30671,x30672)+~P44(x30673,x30674,x30671,x30675)
% 202.92/202.80 [3068]P44(x30683,x30684,x30685,x30682)+~E(x30681,x30682)+~P44(x30683,x30684,x30685,x30681)
% 202.92/202.80 [3069]~P150(x30691)+P150(x30692)+~E(x30691,x30692)
% 202.92/202.80 [3070]~P71(x30701)+P71(x30702)+~E(x30701,x30702)
% 202.92/202.80 [3071]~P123(x30711)+P123(x30712)+~E(x30711,x30712)
% 202.92/202.80 [3072]P62(x30722,x30723,x30724,x30725)+~E(x30721,x30722)+~P62(x30721,x30723,x30724,x30725)
% 202.92/202.80 [3073]P62(x30733,x30732,x30734,x30735)+~E(x30731,x30732)+~P62(x30733,x30731,x30734,x30735)
% 202.92/202.80 [3074]P62(x30743,x30744,x30742,x30745)+~E(x30741,x30742)+~P62(x30743,x30744,x30741,x30745)
% 202.92/202.80 [3075]P62(x30753,x30754,x30755,x30752)+~E(x30751,x30752)+~P62(x30753,x30754,x30755,x30751)
% 202.92/202.80 [3076]P63(x30762,x30763)+~E(x30761,x30762)+~P63(x30761,x30763)
% 202.92/202.80 [3077]P63(x30773,x30772)+~E(x30771,x30772)+~P63(x30773,x30771)
% 202.92/202.80 [3078]P15(x30782,x30783,x30784)+~E(x30781,x30782)+~P15(x30781,x30783,x30784)
% 202.92/202.80 [3079]P15(x30793,x30792,x30794)+~E(x30791,x30792)+~P15(x30793,x30791,x30794)
% 202.92/202.80 [3080]P15(x30803,x30804,x30802)+~E(x30801,x30802)+~P15(x30803,x30804,x30801)
% 202.92/202.80 [3081]P34(x30812,x30813,x30814,x30815)+~E(x30811,x30812)+~P34(x30811,x30813,x30814,x30815)
% 202.92/202.80 [3082]P34(x30823,x30822,x30824,x30825)+~E(x30821,x30822)+~P34(x30823,x30821,x30824,x30825)
% 202.92/202.80 [3083]P34(x30833,x30834,x30832,x30835)+~E(x30831,x30832)+~P34(x30833,x30834,x30831,x30835)
% 202.92/202.80 [3084]P34(x30843,x30844,x30845,x30842)+~E(x30841,x30842)+~P34(x30843,x30844,x30845,x30841)
% 202.92/202.80 [3085]P9(x30852,x30853,x30854)+~E(x30851,x30852)+~P9(x30851,x30853,x30854)
% 202.92/202.80 [3086]P9(x30863,x30862,x30864)+~E(x30861,x30862)+~P9(x30863,x30861,x30864)
% 202.92/202.80 [3087]P9(x30873,x30874,x30872)+~E(x30871,x30872)+~P9(x30873,x30874,x30871)
% 202.92/202.80 [3088]P57(x30882,x30883)+~E(x30881,x30882)+~P57(x30881,x30883)
% 202.92/202.80 [3089]P57(x30893,x30892)+~E(x30891,x30892)+~P57(x30893,x30891)
% 202.92/202.80 [3090]~P128(x30901)+P128(x30902)+~E(x30901,x30902)
% 202.92/202.80 [3091]~P126(x30911)+P126(x30912)+~E(x30911,x30912)
% 202.92/202.80 [3092]P48(x30922,x30923)+~E(x30921,x30922)+~P48(x30921,x30923)
% 202.92/202.80 [3093]P48(x30933,x30932)+~E(x30931,x30932)+~P48(x30933,x30931)
% 202.92/202.80 [3094]P22(x30942,x30943,x30944,x30945,x30946)+~E(x30941,x30942)+~P22(x30941,x30943,x30944,x30945,x30946)
% 202.92/202.80 [3095]P22(x30953,x30952,x30954,x30955,x30956)+~E(x30951,x30952)+~P22(x30953,x30951,x30954,x30955,x30956)
% 202.92/202.80 [3096]P22(x30963,x30964,x30962,x30965,x30966)+~E(x30961,x30962)+~P22(x30963,x30964,x30961,x30965,x30966)
% 202.92/202.80 [3097]P22(x30973,x30974,x30975,x30972,x30976)+~E(x30971,x30972)+~P22(x30973,x30974,x30975,x30971,x30976)
% 202.92/202.80 [3098]P22(x30983,x30984,x30985,x30986,x30982)+~E(x30981,x30982)+~P22(x30983,x30984,x30985,x30986,x30981)
% 202.92/202.80 [3099]~P136(x30991)+P136(x30992)+~E(x30991,x30992)
% 202.92/202.80 [3100]~P137(x31001)+P137(x31002)+~E(x31001,x31002)
% 202.92/202.80 [3101]~P120(x31011)+P120(x31012)+~E(x31011,x31012)
% 202.92/202.80 [3102]P50(x31022,x31023,x31024)+~E(x31021,x31022)+~P50(x31021,x31023,x31024)
% 202.92/202.80 [3103]P50(x31033,x31032,x31034)+~E(x31031,x31032)+~P50(x31033,x31031,x31034)
% 202.92/202.80 [3104]P50(x31043,x31044,x31042)+~E(x31041,x31042)+~P50(x31043,x31044,x31041)
% 202.92/202.80 [3105]~P144(x31051)+P144(x31052)+~E(x31051,x31052)
% 202.92/202.80 [3106]~P112(x31061)+P112(x31062)+~E(x31061,x31062)
% 202.92/202.80 [3107]P24(x31072,x31073,x31074,x31075,x31076,x31077)+~E(x31071,x31072)+~P24(x31071,x31073,x31074,x31075,x31076,x31077)
% 202.92/202.80 [3108]P24(x31083,x31082,x31084,x31085,x31086,x31087)+~E(x31081,x31082)+~P24(x31083,x31081,x31084,x31085,x31086,x31087)
% 202.92/202.80 [3109]P24(x31093,x31094,x31092,x31095,x31096,x31097)+~E(x31091,x31092)+~P24(x31093,x31094,x31091,x31095,x31096,x31097)
% 202.92/202.80 [3110]P24(x31103,x31104,x31105,x31102,x31106,x31107)+~E(x31101,x31102)+~P24(x31103,x31104,x31105,x31101,x31106,x31107)
% 202.92/202.80 [3111]P24(x31113,x31114,x31115,x31116,x31112,x31117)+~E(x31111,x31112)+~P24(x31113,x31114,x31115,x31116,x31111,x31117)
% 202.92/202.80 [3112]P24(x31123,x31124,x31125,x31126,x31127,x31122)+~E(x31121,x31122)+~P24(x31123,x31124,x31125,x31126,x31127,x31121)
% 202.92/202.80 [3113]P49(x31132,x31133,x31134)+~E(x31131,x31132)+~P49(x31131,x31133,x31134)
% 202.92/202.80 [3114]P49(x31143,x31142,x31144)+~E(x31141,x31142)+~P49(x31143,x31141,x31144)
% 202.92/202.80 [3115]P49(x31153,x31154,x31152)+~E(x31151,x31152)+~P49(x31153,x31154,x31151)
% 202.92/202.80 [3116]~P96(x31161)+P96(x31162)+~E(x31161,x31162)
% 202.92/202.80 [3117]~P106(x31171)+P106(x31172)+~E(x31171,x31172)
% 202.92/202.80 [3118]~P87(x31181)+P87(x31182)+~E(x31181,x31182)
% 202.92/202.80 [3119]~P97(x31191)+P97(x31192)+~E(x31191,x31192)
% 202.92/202.80 [3120]~P82(x31201)+P82(x31202)+~E(x31201,x31202)
% 202.92/202.80 [3121]~P47(x31211)+P47(x31212)+~E(x31211,x31212)
% 202.92/202.80
% 202.92/202.80 %-------------------------------------------
% 202.92/202.85 cnf(10484,plain,
% 202.92/202.85 (~E(f318(a103,x104841),x104841)),
% 202.92/202.85 inference(rename_variables,[],[4661])).
% 202.92/202.85 cnf(10494,plain,
% 202.92/202.85 (~E(f318(a103,x104941),x104941)),
% 202.92/202.85 inference(rename_variables,[],[4661])).
% 202.92/202.85 cnf(10507,plain,
% 202.92/202.85 (~E(f318(a103,x105071),x105071)),
% 202.92/202.85 inference(rename_variables,[],[4661])).
% 202.92/202.85 cnf(10512,plain,
% 202.92/202.85 (~P1(f318(f318(f163(x105121),f104(x105121)),x105122))),
% 202.92/202.85 inference(rename_variables,[],[4702])).
% 202.92/202.85 cnf(10515,plain,
% 202.92/202.85 (~P1(f318(f318(f163(x105151),f104(x105151)),x105152))),
% 202.92/202.85 inference(rename_variables,[],[4702])).
% 202.92/202.85 cnf(10518,plain,
% 202.92/202.85 (~E(f318(a103,x105181),x105181)),
% 202.92/202.85 inference(rename_variables,[],[4661])).
% 202.92/202.85 cnf(10521,plain,
% 202.92/202.85 (~E(f318(a103,x105211),x105211)),
% 202.92/202.85 inference(rename_variables,[],[4661])).
% 202.92/202.85 cnf(10524,plain,
% 202.92/202.85 (~P1(f318(f318(f226(a920),x105241),f2(a920)))),
% 202.92/202.85 inference(rename_variables,[],[4699])).
% 202.92/202.85 cnf(10527,plain,
% 202.92/202.85 (~P1(f318(f318(f226(a920),x105271),f2(a920)))),
% 202.92/202.85 inference(rename_variables,[],[4699])).
% 202.92/202.85 cnf(10544,plain,
% 202.92/202.85 (~P1(f318(f318(f225(a920),f318(a103,x105441)),x105441))),
% 202.92/202.85 inference(rename_variables,[],[4703])).
% 202.92/202.85 cnf(10547,plain,
% 202.92/202.85 (~E(f318(f318(f142(x105471),x105472),x105473),x105473)),
% 202.92/202.85 inference(rename_variables,[],[4675])).
% 202.92/202.85 cnf(10553,plain,
% 202.92/202.85 (~P1(f318(f318(f226(a920),x105531),f2(a920)))),
% 202.92/202.85 inference(rename_variables,[],[4699])).
% 202.92/202.85 cnf(10555,plain,
% 202.92/202.85 (E(f39(a920,f318(f275(x105551,x105551),f254(x105551,f318(f318(f74(a920),x105552),x105553))),x105552),f2(a920))),
% 202.92/202.85 inference(scs_inference,[],[4661,10484,10494,10507,10518,3313,3479,3353,3416,3349,3376,3359,4675,3502,4699,10524,10527,4696,4669,4702,10512,4703,4700,3495,4688,4719,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220])).
% 202.92/202.85 cnf(10556,plain,
% 202.92/202.85 (E(f318(f275(x105561,x105561),f254(x105561,x105562)),x105562)),
% 202.92/202.85 inference(rename_variables,[],[3479])).
% 202.92/202.85 cnf(10559,plain,
% 202.92/202.85 (E(f318(f275(x105591,x105591),f254(x105591,x105592)),x105592)),
% 202.92/202.85 inference(rename_variables,[],[3479])).
% 202.92/202.85 cnf(10564,plain,
% 202.92/202.85 (~P1(f318(f318(f226(a920),x105641),x105641))),
% 202.92/202.85 inference(rename_variables,[],[4695])).
% 202.92/202.85 cnf(10569,plain,
% 202.92/202.85 (~P1(f318(f318(f226(a920),f318(f318(f73(a920),x105691),x105692)),x105692))),
% 202.92/202.85 inference(rename_variables,[],[4717])).
% 202.92/202.85 cnf(10572,plain,
% 202.92/202.85 (~P1(f318(f318(f226(a920),f318(f318(f73(a920),x105721),x105722)),x105722))),
% 202.92/202.85 inference(rename_variables,[],[4717])).
% 202.92/202.85 cnf(10579,plain,
% 202.92/202.85 (~E(x105791,f318(a103,x105791))),
% 202.92/202.85 inference(scs_inference,[],[4661,10484,10494,10507,10518,3313,3479,10556,3353,3416,3349,3376,3359,4675,3586,3502,4699,10524,10527,4696,4669,4702,10512,4695,4703,4327,4700,3495,4688,4719,4717,10569,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335])).
% 202.92/202.85 cnf(10593,plain,
% 202.92/202.85 (~P1(f318(f318(f226(a920),x105931),x105931))),
% 202.92/202.85 inference(rename_variables,[],[4695])).
% 202.92/202.85 cnf(10596,plain,
% 202.92/202.85 (P1(f318(f318(f225(a920),f39(a920,x105961,x105962)),x105961))),
% 202.92/202.85 inference(rename_variables,[],[3969])).
% 202.92/202.85 cnf(10617,plain,
% 202.92/202.85 (E(f318(f29(a920),f318(f273(a920),x106171)),x106171)),
% 202.92/202.85 inference(rename_variables,[],[3414])).
% 202.92/202.85 cnf(10625,plain,
% 202.92/202.85 (~E(f318(a103,x106251),x106251)),
% 202.92/202.85 inference(rename_variables,[],[4661])).
% 202.92/202.85 cnf(10628,plain,
% 202.92/202.85 (~E(f318(a103,x106281),x106281)),
% 202.92/202.85 inference(rename_variables,[],[4661])).
% 202.92/202.85 cnf(10631,plain,
% 202.92/202.85 (~E(f318(a103,x106311),x106311)),
% 202.92/202.85 inference(rename_variables,[],[4661])).
% 202.92/202.85 cnf(10633,plain,
% 202.92/202.85 (P1(f318(a184,a88))),
% 202.92/202.85 inference(scs_inference,[],[4661,10484,10494,10507,10518,10521,10625,10628,3313,3479,10556,3353,3416,3349,3376,3359,3449,4675,3414,4722,3434,3586,3502,4699,10524,10527,4094,3521,4696,4669,4702,10512,4695,10564,10593,3611,4030,3969,4703,10544,4327,4700,4687,3495,4688,4719,4717,10569,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474])).
% 202.92/202.85 cnf(10636,plain,
% 202.92/202.85 (P1(f318(f318(f226(a920),x106361),f318(a103,x106361)))),
% 202.92/202.85 inference(rename_variables,[],[3586])).
% 202.92/202.85 cnf(10645,plain,
% 202.92/202.85 (P1(f318(f318(f225(a920),x106451),x106451))),
% 202.92/202.85 inference(rename_variables,[],[3518])).
% 202.92/202.85 cnf(10652,plain,
% 202.92/202.85 (E(f318(f275(x106521,x106521),f254(x106521,x106522)),x106522)),
% 202.92/202.85 inference(rename_variables,[],[3479])).
% 202.92/202.85 cnf(10655,plain,
% 202.92/202.85 (E(f318(f275(x106551,x106551),f254(x106551,x106552)),x106552)),
% 202.92/202.85 inference(rename_variables,[],[3479])).
% 202.92/202.85 cnf(10676,plain,
% 202.92/202.85 (~P1(f318(f318(f226(a920),x106761),f2(a920)))),
% 202.92/202.85 inference(rename_variables,[],[4699])).
% 202.92/202.85 cnf(10679,plain,
% 202.92/202.85 (P1(f318(f318(f225(f927(x106791,a918)),x106792),f233(f927(x106791,a918))))),
% 202.92/202.85 inference(rename_variables,[],[3895])).
% 202.92/202.85 cnf(10684,plain,
% 202.92/202.85 (~P1(f318(f318(f163(x106841),f104(x106841)),x106842))),
% 202.92/202.85 inference(rename_variables,[],[4702])).
% 202.92/202.85 cnf(10713,plain,
% 202.92/202.85 (~E(f318(f318(f142(x107131),x107132),x107133),x107133)),
% 202.92/202.85 inference(rename_variables,[],[4675])).
% 202.92/202.85 cnf(10716,plain,
% 202.92/202.85 (~E(f318(a103,x107161),f2(a920))),
% 202.92/202.85 inference(rename_variables,[],[4667])).
% 202.92/202.85 cnf(10727,plain,
% 202.92/202.85 (P1(f318(f318(f225(a1),x107271),x107271))),
% 202.92/202.85 inference(rename_variables,[],[3519])).
% 202.92/202.85 cnf(10732,plain,
% 202.92/202.85 (~E(f318(a103,x107321),x107321)),
% 202.92/202.85 inference(rename_variables,[],[4661])).
% 202.92/202.85 cnf(10735,plain,
% 202.92/202.85 (~P1(f318(f318(f179(f927(x107351,f927(x107352,a918))),x107353),x107354))),
% 202.92/202.85 inference(rename_variables,[],[4720])).
% 202.92/202.85 cnf(10742,plain,
% 202.92/202.85 (P1(f318(f318(f225(a920),x107421),x107421))),
% 202.92/202.85 inference(rename_variables,[],[3518])).
% 202.92/202.85 cnf(10755,plain,
% 202.92/202.85 (P1(f318(f318(f226(a920),x107551),f318(a103,x107551)))),
% 202.92/202.85 inference(rename_variables,[],[3586])).
% 202.92/202.85 cnf(10776,plain,
% 202.92/202.85 (P1(f318(f318(f225(f927(x107761,a918)),x107762),f233(f927(x107761,a918))))),
% 202.92/202.85 inference(rename_variables,[],[3895])).
% 202.92/202.85 cnf(10779,plain,
% 202.92/202.85 (~P1(f318(f318(f163(x107791),f104(x107791)),x107792))),
% 202.92/202.85 inference(rename_variables,[],[4702])).
% 202.92/202.85 cnf(10798,plain,
% 202.92/202.85 (~P1(f318(f318(f163(x107981),f104(x107981)),x107982))),
% 202.92/202.85 inference(rename_variables,[],[4702])).
% 202.92/202.85 cnf(10805,plain,
% 202.92/202.85 (~P1(f318(f318(f163(x108051),f104(x108051)),x108052))),
% 202.92/202.85 inference(rename_variables,[],[4702])).
% 202.92/202.85 cnf(10813,plain,
% 202.92/202.85 (E(f318(f318(f235(a920),f318(f94(a920),a88)),x108131),f318(f318(f235(a920),f2(a920)),x108131))),
% 202.92/202.85 inference(scs_inference,[],[3562,4661,10484,10494,10507,10518,10521,10625,10628,10631,4667,3313,3479,10556,10559,10652,3353,3416,3349,3376,3359,3983,3449,4675,10547,3414,4722,3434,3877,3586,10636,10755,3502,4699,10524,10527,10553,10676,4710,3951,4094,3546,3547,3521,4696,4669,4702,10512,10515,10684,10779,10798,4236,3895,10679,3518,10645,10742,3519,4695,10564,10593,3611,4030,3969,10596,4703,10544,4327,4700,4687,4691,3495,3499,4688,4719,4720,3992,4717,10569,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993])).
% 202.92/202.85 cnf(10816,plain,
% 202.92/202.85 (~E(f318(a103,x108161),f2(a920))),
% 202.92/202.85 inference(rename_variables,[],[4667])).
% 202.92/202.85 cnf(10821,plain,
% 202.92/202.85 (P1(f318(f318(f225(a920),x108211),x108211))),
% 202.92/202.85 inference(rename_variables,[],[3518])).
% 202.92/202.85 cnf(10824,plain,
% 202.92/202.85 (P1(f318(f318(f320(x108241),x108242),f233(f927(x108241,a918))))),
% 202.92/202.85 inference(rename_variables,[],[3669])).
% 202.92/202.85 cnf(10831,plain,
% 202.92/202.85 (~P1(f318(f318(f163(x108311),f104(x108311)),x108312))),
% 202.92/202.85 inference(rename_variables,[],[4702])).
% 202.92/202.85 cnf(10836,plain,
% 202.92/202.85 (P1(f318(f318(f226(a920),x108361),f318(a103,x108361)))),
% 202.92/202.85 inference(rename_variables,[],[3586])).
% 202.92/202.85 cnf(10839,plain,
% 202.92/202.85 (~P1(f318(f318(f163(x108391),f104(x108391)),x108392))),
% 202.92/202.85 inference(rename_variables,[],[4702])).
% 202.92/202.85 cnf(10842,plain,
% 202.92/202.85 (~P1(f318(f318(f163(x108421),f104(x108421)),x108422))),
% 202.92/202.85 inference(rename_variables,[],[4702])).
% 202.92/202.85 cnf(10845,plain,
% 202.92/202.85 (~P1(f318(f56(x108451,x108452,f179(f927(x108451,a918))),x108453))),
% 202.92/202.85 inference(rename_variables,[],[4716])).
% 202.92/202.85 cnf(10848,plain,
% 202.92/202.85 (~P1(f318(f56(x108481,x108482,f179(f927(x108481,a918))),x108483))),
% 202.92/202.85 inference(rename_variables,[],[4716])).
% 202.92/202.85 cnf(10851,plain,
% 202.92/202.85 (~P1(f318(f318(f179(f927(x108511,f927(x108512,a918))),x108513),x108514))),
% 202.92/202.85 inference(rename_variables,[],[4720])).
% 202.92/202.85 cnf(10854,plain,
% 202.92/202.85 (~P1(f318(f318(f226(a920),x108541),f2(a920)))),
% 202.92/202.85 inference(rename_variables,[],[4699])).
% 202.92/202.85 cnf(10859,plain,
% 202.92/202.85 (~P1(f318(f318(f163(x108591),f104(x108591)),x108592))),
% 202.92/202.85 inference(rename_variables,[],[4702])).
% 202.92/202.85 cnf(10870,plain,
% 202.92/202.85 (~E(f318(a103,x108701),x108701)),
% 202.92/202.85 inference(rename_variables,[],[4661])).
% 202.92/202.85 cnf(10888,plain,
% 202.92/202.85 (P1(f318(f318(f226(a90),f318(a5,x108881)),f318(a5,f318(a103,x108881))))),
% 202.92/202.85 inference(scs_inference,[],[3562,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,4667,10716,3313,3479,10556,10559,10652,3353,3416,3349,3376,3359,3983,3449,4675,10547,3414,4722,3434,3877,3586,10636,10755,10836,3964,3502,4699,10524,10527,10553,10676,4710,3951,4094,3546,3547,3521,4696,4669,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,4236,3895,10679,3518,10645,10742,10821,3519,4695,10564,10593,3669,3611,4030,3969,10596,4703,10544,4327,4700,4687,4691,3495,3499,4688,4716,10845,4719,4720,10735,3992,4717,10569,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264])).
% 202.92/202.85 cnf(10895,plain,
% 202.92/202.85 (P1(f318(f318(f225(a920),x108951),x108951))),
% 202.92/202.85 inference(rename_variables,[],[3518])).
% 202.92/202.85 cnf(10898,plain,
% 202.92/202.85 (P1(f318(f318(f225(a920),x108981),f318(f318(f74(a920),x108981),x108981)))),
% 202.92/202.85 inference(rename_variables,[],[3776])).
% 202.92/202.85 cnf(10900,plain,
% 202.92/202.85 (P1(f318(f318(f226(a920),x109001),f318(f318(f74(a920),f318(a103,x109001)),f318(a103,x109001))))),
% 202.92/202.85 inference(scs_inference,[],[3562,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,4667,10716,3313,3479,10556,10559,10652,3353,3416,3349,3376,3359,3983,3449,4675,10547,3414,4722,3434,3877,3586,10636,10755,10836,3964,3502,4699,10524,10527,10553,10676,4710,3951,4094,3546,3547,3521,4696,4669,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,4236,3895,10679,3518,10645,10742,10821,3519,4695,10564,10593,3669,3611,4030,3969,10596,4703,10544,4327,4700,4687,4691,3495,3499,4688,4716,10845,3776,10898,4719,4720,10735,3992,4717,10569,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288])).
% 202.92/202.85 cnf(10901,plain,
% 202.92/202.85 (P1(f318(f318(f225(a920),x109011),f318(f318(f74(a920),x109011),x109011)))),
% 202.92/202.85 inference(rename_variables,[],[3776])).
% 202.92/202.85 cnf(10904,plain,
% 202.92/202.85 (P1(f318(f318(f226(a920),x109041),f318(a103,f318(f318(f73(a920),x109042),x109041))))),
% 202.92/202.85 inference(rename_variables,[],[3962])).
% 202.92/202.85 cnf(10909,plain,
% 202.92/202.85 (P1(f318(f318(f226(a920),x109091),f318(a103,x109091)))),
% 202.92/202.85 inference(rename_variables,[],[3586])).
% 202.92/202.85 cnf(10912,plain,
% 202.92/202.85 (P1(f318(f318(f226(a920),x109121),f318(a103,x109121)))),
% 202.92/202.85 inference(rename_variables,[],[3586])).
% 202.92/202.85 cnf(10915,plain,
% 202.92/202.85 (P1(f318(f318(f320(x109151),x109152),f233(f927(x109151,a918))))),
% 202.92/202.85 inference(rename_variables,[],[3669])).
% 202.92/202.85 cnf(10934,plain,
% 202.92/202.85 (~P1(f318(f318(f225(a920),f318(a103,x109341)),x109341))),
% 202.92/202.85 inference(rename_variables,[],[4703])).
% 202.92/202.85 cnf(10937,plain,
% 202.92/202.85 (~P1(f318(f318(f225(a920),f318(a103,x109371)),x109371))),
% 202.92/202.85 inference(rename_variables,[],[4703])).
% 202.92/202.85 cnf(10940,plain,
% 202.92/202.85 (~P1(f318(f318(f226(a920),f318(f318(f73(a920),x109401),x109402)),x109402))),
% 202.92/202.85 inference(rename_variables,[],[4717])).
% 202.92/202.85 cnf(10943,plain,
% 202.92/202.85 (~P1(f318(f318(f226(a920),f318(f318(f73(a920),x109431),x109432)),x109432))),
% 202.92/202.85 inference(rename_variables,[],[4717])).
% 202.92/202.85 cnf(10946,plain,
% 202.92/202.85 (P1(f318(f233(f927(x109461,a918)),x109462))),
% 202.92/202.85 inference(rename_variables,[],[3579])).
% 202.92/202.85 cnf(10949,plain,
% 202.92/202.85 (E(f318(f29(a920),f318(f273(a920),x109491)),x109491)),
% 202.92/202.85 inference(rename_variables,[],[3414])).
% 202.92/202.85 cnf(10952,plain,
% 202.92/202.85 (P1(f318(f318(f226(a920),x109521),f318(a103,x109521)))),
% 202.92/202.85 inference(rename_variables,[],[3586])).
% 202.92/202.85 cnf(10959,plain,
% 202.92/202.85 (P1(f318(f318(f225(a920),x109591),x109591))),
% 202.92/202.85 inference(rename_variables,[],[3518])).
% 202.92/202.85 cnf(10964,plain,
% 202.92/202.85 (P1(f318(f318(f225(a1),x109641),x109641))),
% 202.92/202.85 inference(rename_variables,[],[3519])).
% 202.92/202.85 cnf(10973,plain,
% 202.92/202.85 (E(f318(f275(x109731,x109731),f254(x109731,x109732)),x109732)),
% 202.92/202.85 inference(rename_variables,[],[3479])).
% 202.92/202.85 cnf(10976,plain,
% 202.92/202.85 (P1(f318(f233(f927(x109761,a918)),x109762))),
% 202.92/202.85 inference(rename_variables,[],[3579])).
% 202.92/202.85 cnf(10979,plain,
% 202.92/202.85 (P1(f318(f233(f927(x109791,a918)),x109792))),
% 202.92/202.85 inference(rename_variables,[],[3579])).
% 202.92/202.85 cnf(10982,plain,
% 202.92/202.85 (P1(f318(f318(f225(a920),f2(a920)),x109821))),
% 202.92/202.85 inference(rename_variables,[],[3539])).
% 202.92/202.85 cnf(10985,plain,
% 202.92/202.85 (P1(f318(f318(f225(f927(x109851,a918)),f179(f927(x109851,a918))),x109852))),
% 202.92/202.85 inference(rename_variables,[],[3961])).
% 202.92/202.85 cnf(10988,plain,
% 202.92/202.85 (P1(f318(f233(f927(x109881,a918)),x109882))),
% 202.92/202.85 inference(rename_variables,[],[3579])).
% 202.92/202.85 cnf(10991,plain,
% 202.92/202.85 (P1(f318(f233(f927(x109911,a918)),x109912))),
% 202.92/202.85 inference(rename_variables,[],[3579])).
% 202.92/202.85 cnf(10993,plain,
% 202.92/202.85 (~P1(f318(f318(f225(a920),f318(f318(f74(a920),f318(a103,x109931)),f318(a103,x109931))),x109931))),
% 202.92/202.85 inference(scs_inference,[],[3562,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,4667,10716,3313,3479,10556,10559,10652,10655,3353,3416,3349,3376,3359,3983,3449,4675,10547,3414,10617,4722,3434,3877,3812,3586,10636,10755,10836,10909,10912,3964,3502,4699,10524,10527,10553,10676,4710,3951,3722,4094,3546,3547,3521,4696,4669,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,4236,3895,10679,3518,10645,10742,10821,10895,3519,10727,4695,10564,10593,3669,10824,3579,10946,10976,10979,10988,3611,4030,3969,10596,4703,10544,10934,3539,4327,4700,4687,4691,3495,3499,4688,4716,10845,4721,3961,3776,10898,10901,4719,4720,10735,3992,4717,10569,10572,10940,3962,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497,6499,6505])).
% 202.92/202.85 cnf(10994,plain,
% 202.92/202.85 (P1(f318(f318(f225(a920),x109941),f318(f318(f74(a920),x109941),x109941)))),
% 202.92/202.85 inference(rename_variables,[],[3776])).
% 202.92/202.85 cnf(10998,plain,
% 202.92/202.85 (E(f318(f159(x109981),f164(x109982,f318(f318(f125(x109981),f318(f159(x109981),x109983)),f318(f318(f142(x109981),x109984),f104(x109981))),f104(x109982))),f318(f318(f142(x109981),x109984),x109983))),
% 202.92/202.85 inference(scs_inference,[],[3562,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,4667,10716,3313,3479,10556,10559,10652,10655,3456,3353,3416,3349,3376,3359,3983,3449,4675,10547,3414,10617,4722,3434,3877,3812,3586,10636,10755,10836,10909,10912,3964,3502,4699,10524,10527,10553,10676,4710,3951,3722,4094,3546,3547,3521,4696,4669,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,4236,3895,10679,3518,10645,10742,10821,10895,3519,10727,4695,10564,10593,3669,10824,3579,10946,10976,10979,10988,3611,4030,3969,10596,4703,10544,10934,3539,4327,4700,4687,4691,3495,3499,4688,4716,10845,4721,3961,3776,10898,10901,4719,4720,10735,3992,4717,10569,10572,10940,3962,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497,6499,6505,6510,6544])).
% 202.92/202.85 cnf(11003,plain,
% 202.92/202.85 (~P1(f318(f318(f225(a920),f318(a103,f318(a103,f318(f318(f73(a920),x110031),x110032)))),f318(a103,x110032)))),
% 202.92/202.85 inference(scs_inference,[],[3562,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,4667,10716,3313,3479,10556,10559,10652,10655,3456,3353,3416,3349,3376,3359,3983,3449,4675,10547,3414,10617,4722,3434,3877,3812,3586,10636,10755,10836,10909,10912,10952,3964,3502,4699,10524,10527,10553,10676,4710,3951,3722,4094,3546,3547,3521,4696,4669,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,4236,3895,10679,3518,10645,10742,10821,10895,3519,10727,4695,10564,10593,3669,10824,3579,10946,10976,10979,10988,3611,4030,3969,10596,4703,10544,10934,3539,4327,4700,4687,4691,3495,3499,4688,4716,10845,4721,3961,3776,10898,10901,4719,4720,10735,3992,4717,10569,10572,10940,3962,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497,6499,6505,6510,6544,6545,6548])).
% 202.92/202.85 cnf(11011,plain,
% 202.92/202.85 (~P1(f318(f318(f226(a90),f318(a5,x110111)),f318(a5,f2(a920))))),
% 202.92/202.85 inference(scs_inference,[],[3562,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,4667,10716,3313,3479,10556,10559,10652,10655,3456,3353,3416,3349,3376,3359,3983,3449,4675,10547,3414,10617,4722,3434,3877,3812,3586,10636,10755,10836,10909,10912,10952,3964,3502,4699,10524,10527,10553,10676,10854,4710,3951,3722,4094,3546,3547,3521,4696,4669,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,4236,3895,10679,3518,10645,10742,10821,10895,3519,10727,4695,10564,10593,3669,10824,3579,10946,10976,10979,10988,3611,4030,3969,10596,4703,10544,10934,10937,3539,4327,4700,4687,4691,3495,3499,4688,4716,10845,4721,3961,3776,10898,10901,4719,4720,10735,3992,4717,10569,10572,10940,3962,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497,6499,6505,6510,6544,6545,6548,6549,6550,6552,6553])).
% 202.92/202.85 cnf(11013,plain,
% 202.92/202.85 (~P1(f318(f318(f226(a920),f318(a95,a76)),f318(a95,a88)))),
% 202.92/202.85 inference(scs_inference,[],[3562,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,4667,10716,3313,3479,10556,10559,10652,10655,3456,3353,3416,3349,3376,3359,3983,3449,4675,10547,3414,10617,4722,3434,3877,3812,3586,10636,10755,10836,10909,10912,10952,3964,3502,4699,10524,10527,10553,10676,10854,4710,3951,3722,4094,3546,3547,3521,4696,4669,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,4236,3895,10679,3518,10645,10742,10821,10895,3519,10727,4695,10564,10593,3669,10824,3579,10946,10976,10979,10988,3611,4030,3969,10596,4703,10544,10934,10937,3539,4327,4700,4687,4691,3495,3499,4690,4688,4716,10845,4721,3961,3776,10898,10901,4719,4720,10735,3992,4717,10569,10572,10940,3962,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497,6499,6505,6510,6544,6545,6548,6549,6550,6552,6553,6554])).
% 202.92/202.85 cnf(11034,plain,
% 202.92/202.85 (P1(f318(f318(f225(a920),x110341),x110341))),
% 202.92/202.85 inference(rename_variables,[],[3518])).
% 202.92/202.85 cnf(11045,plain,
% 202.92/202.85 (~P1(f318(f318(f163(x110451),f104(x110451)),x110452))),
% 202.92/202.85 inference(rename_variables,[],[4702])).
% 202.92/202.85 cnf(11052,plain,
% 202.92/202.85 (P1(f318(f318(f226(a920),x110521),f318(a103,x110521)))),
% 202.92/202.85 inference(rename_variables,[],[3586])).
% 202.92/202.85 cnf(11054,plain,
% 202.92/202.85 (P1(f318(f318(f226(a1),f318(f318(f3(a1),x110541),f71(a1))),x110541))),
% 202.92/202.85 inference(scs_inference,[],[3562,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,4667,10716,3313,3479,10556,10559,10652,10655,3456,3353,3416,3349,3376,3359,3983,3449,4675,10547,3414,10617,4722,3434,3877,3812,3586,10636,10755,10836,10909,10912,10952,3964,3502,4699,10524,10527,10553,10676,10854,4710,3951,3722,4094,3546,3547,3521,4696,4669,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,10859,4236,3895,10679,3518,10645,10742,10821,10895,10959,11034,3519,10727,10964,4695,10564,10593,3669,10824,4706,3579,10946,10976,10979,10988,3611,4030,3969,10596,4703,10544,10934,10937,3539,4327,4700,4687,4691,3495,3499,4690,4688,4716,10845,4721,3961,3776,10898,10901,4719,4720,10735,3992,4717,10569,10572,10940,3962,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497,6499,6505,6510,6544,6545,6548,6549,6550,6552,6553,6554,6555,6564,6597,6598,6607,6629,6630,6652,6654,6666,6667,6673,6703,6705,6720,6758,6761,6762,6820])).
% 202.92/202.85 cnf(11055,plain,
% 202.92/202.85 (P1(f318(f318(f225(a1),x110551),x110551))),
% 202.92/202.85 inference(rename_variables,[],[3519])).
% 202.92/202.85 cnf(11060,plain,
% 202.92/202.85 (~P1(f318(f318(f226(a920),x110601),f2(a920)))),
% 202.92/202.85 inference(rename_variables,[],[4699])).
% 202.92/202.85 cnf(11075,plain,
% 202.92/202.85 (~P1(f318(f318(f226(a920),x110751),f2(a920)))),
% 202.92/202.85 inference(rename_variables,[],[4699])).
% 202.92/202.85 cnf(11078,plain,
% 202.92/202.85 (~P1(f318(f318(f226(f927(x110781,a918)),x110782),f179(f927(x110781,a918))))),
% 202.92/202.85 inference(rename_variables,[],[4714])).
% 202.92/202.85 cnf(11081,plain,
% 202.92/202.85 (P1(f318(f318(f225(a920),x110811),x110811))),
% 202.92/202.85 inference(rename_variables,[],[3518])).
% 202.92/202.85 cnf(11084,plain,
% 202.92/202.85 (P1(f318(f318(f225(a920),x110841),x110841))),
% 202.92/202.85 inference(rename_variables,[],[3518])).
% 202.92/202.85 cnf(11099,plain,
% 202.92/202.85 (~P1(f318(f318(f226(a920),x110991),x110991))),
% 202.92/202.85 inference(rename_variables,[],[4695])).
% 202.92/202.85 cnf(11108,plain,
% 202.92/202.85 (~P1(f318(f318(f320(x111081),x111082),f179(f927(x111081,a918))))),
% 202.92/202.85 inference(rename_variables,[],[4706])).
% 202.92/202.85 cnf(11115,plain,
% 202.92/202.85 (P1(f318(f318(f225(a920),x111151),x111151))),
% 202.92/202.85 inference(rename_variables,[],[3518])).
% 202.92/202.85 cnf(11118,plain,
% 202.92/202.85 (~P1(f318(f318(f320(x111181),x111182),f179(f927(x111181,a918))))),
% 202.92/202.85 inference(rename_variables,[],[4706])).
% 202.92/202.85 cnf(11121,plain,
% 202.92/202.85 (P1(f318(f318(f225(f927(x111211,a918)),f318(f301(x111212,x111211,x111213),f318(f302(x111212,x111211,x111213),x111214))),x111214))),
% 202.92/202.85 inference(rename_variables,[],[4382])).
% 202.92/202.85 cnf(11130,plain,
% 202.92/202.85 (P1(f318(f318(f225(f927(x111301,a918)),f318(f163(x111301),f318(f127(x111301,x111302),x111303))),f318(f163(x111301),x111303)))),
% 202.92/202.85 inference(rename_variables,[],[4155])).
% 202.92/202.85 cnf(11133,plain,
% 202.92/202.85 (E(f318(f301(x111331,x111331,f7(x111331)),x111332),x111332)),
% 202.92/202.85 inference(rename_variables,[],[3575])).
% 202.92/202.85 cnf(11138,plain,
% 202.92/202.85 (P1(f318(f318(f225(a920),f2(a920)),x111381))),
% 202.92/202.85 inference(rename_variables,[],[3539])).
% 202.92/202.85 cnf(11141,plain,
% 202.92/202.85 (P1(f318(f318(f225(a920),x111411),x111411))),
% 202.92/202.85 inference(rename_variables,[],[3518])).
% 202.92/202.85 cnf(11144,plain,
% 202.92/202.85 (~P1(f318(f318(f226(a920),x111441),x111441))),
% 202.92/202.85 inference(rename_variables,[],[4695])).
% 202.92/202.85 cnf(11153,plain,
% 202.92/202.85 (~P1(f318(f318(f226(a920),x111531),x111531))),
% 202.92/202.85 inference(rename_variables,[],[4695])).
% 202.92/202.85 cnf(11164,plain,
% 202.92/202.85 (P1(f318(f318(f225(a920),x111641),f318(f318(f74(a920),x111641),x111641)))),
% 202.92/202.85 inference(rename_variables,[],[3776])).
% 202.92/202.85 cnf(11170,plain,
% 202.92/202.85 (P1(f318(f318(f226(a920),x111701),f318(a103,f318(f318(f73(a920),x111702),x111701))))),
% 202.92/202.85 inference(rename_variables,[],[3962])).
% 202.92/202.85 cnf(11177,plain,
% 202.92/202.85 (P1(f318(f318(f225(a920),x111771),x111771))),
% 202.92/202.85 inference(rename_variables,[],[3518])).
% 202.92/202.85 cnf(11180,plain,
% 202.92/202.85 (P1(f318(f318(f225(a1),x111801),x111801))),
% 202.92/202.85 inference(rename_variables,[],[3519])).
% 202.92/202.85 cnf(11183,plain,
% 202.92/202.85 (~E(f318(a103,x111831),x111831)),
% 202.92/202.85 inference(rename_variables,[],[4661])).
% 202.92/202.85 cnf(11187,plain,
% 202.92/202.85 (P1(f318(f318(f320(f926(x111871,x111871)),x111872),f298(x111871,f233(f927(f926(x111871,x111871),a918)))))),
% 202.92/202.85 inference(scs_inference,[],[3562,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,10870,4667,10716,3313,3479,10556,10559,10652,10655,3456,3353,3416,3349,3376,3359,3983,3575,3449,4675,10547,3414,10617,4722,3434,3877,3812,3586,10636,10755,10836,10909,10912,10952,11052,3964,3502,4699,10524,10527,10553,10676,10854,11060,11075,4710,3951,3722,4094,3546,3547,3521,4696,4669,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,10859,4248,4155,4236,3895,10679,4714,3518,10645,10742,10821,10895,10959,11034,11081,11084,11115,11141,3519,10727,10964,11055,3520,4695,10564,10593,11099,11144,3669,10824,10915,4706,11108,11118,3579,10946,10976,10979,10988,3611,4030,3969,10596,4703,10544,10934,10937,3539,10982,4327,4700,4687,4691,3495,3499,4690,4688,4716,10845,4721,3961,3776,10898,10901,10994,11164,4719,4720,10735,4382,3992,4717,10569,10572,10940,3962,10904,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497,6499,6505,6510,6544,6545,6548,6549,6550,6552,6553,6554,6555,6564,6597,6598,6607,6629,6630,6652,6654,6666,6667,6673,6703,6705,6720,6758,6761,6762,6820,6843,6888,6903,6910,6919,6920,6921,6922,6941,6942,6949,6961,6964,6966,6967,6968,6970,6972,6986,6997,6998,6999,7013,7070,7081,7083,7087,7106,7107,7142,7149,7154,7185,7215,7272,7301,7359,7380,7390,7394,7454,7464,7524,7526,7540,7549,7550,7551,7569,7573,7575,7620,7630,7633,7648])).
% 202.92/202.85 cnf(11188,plain,
% 202.92/202.85 (P1(f318(f318(f320(x111881),x111882),f233(f927(x111881,a918))))),
% 202.92/202.85 inference(rename_variables,[],[3669])).
% 202.92/202.85 cnf(11193,plain,
% 202.92/202.85 (~P1(f318(f318(f226(a920),x111931),f2(a920)))),
% 202.92/202.85 inference(rename_variables,[],[4699])).
% 202.92/202.85 cnf(11195,plain,
% 202.92/202.85 (P1(f318(f318(f225(f927(x111951,a918)),x111952),f31(f927(x111951,a918),f318(f299(x111951),x111952))))),
% 202.92/202.85 inference(scs_inference,[],[3562,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,10870,4667,10716,3313,3479,10556,10559,10652,10655,3456,3353,3416,3349,3376,3359,3983,3575,3449,4675,10547,3414,10617,4722,3434,3877,3812,3586,10636,10755,10836,10909,10912,10952,11052,3964,3502,4699,10524,10527,10553,10676,10854,11060,11075,4710,3951,3722,4094,3546,3547,3521,4696,4669,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,10859,4248,4155,11130,3878,4236,3895,10679,4714,3518,10645,10742,10821,10895,10959,11034,11081,11084,11115,11141,3519,10727,10964,11055,3520,4695,10564,10593,11099,11144,3669,10824,10915,4706,11108,11118,3579,10946,10976,10979,10988,3611,4030,3969,10596,4703,10544,10934,10937,3539,10982,4327,4700,4687,4691,3495,3499,4690,4688,4716,10845,4721,3961,3776,10898,10901,10994,11164,4719,4720,10735,4382,3992,4717,10569,10572,10940,3962,10904,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497,6499,6505,6510,6544,6545,6548,6549,6550,6552,6553,6554,6555,6564,6597,6598,6607,6629,6630,6652,6654,6666,6667,6673,6703,6705,6720,6758,6761,6762,6820,6843,6888,6903,6910,6919,6920,6921,6922,6941,6942,6949,6961,6964,6966,6967,6968,6970,6972,6986,6997,6998,6999,7013,7070,7081,7083,7087,7106,7107,7142,7149,7154,7185,7215,7272,7301,7359,7380,7390,7394,7454,7464,7524,7526,7540,7549,7550,7551,7569,7573,7575,7620,7630,7633,7648,7695,7697,7700])).
% 202.92/202.85 cnf(11208,plain,
% 202.92/202.85 (P1(f318(f318(f225(a920),f2(a920)),x112081))),
% 202.92/202.85 inference(rename_variables,[],[3539])).
% 202.92/202.85 cnf(11215,plain,
% 202.92/202.85 (P1(f318(f318(f225(a920),x112151),x112151))),
% 202.92/202.85 inference(rename_variables,[],[3518])).
% 202.92/202.85 cnf(11224,plain,
% 202.92/202.85 (~P1(f318(f318(f320(x112241),x112242),f179(f927(x112241,a918))))),
% 202.92/202.85 inference(rename_variables,[],[4706])).
% 202.92/202.85 cnf(11226,plain,
% 202.92/202.85 (P1(f318(f318(f225(f927(x112261,a918)),f32(f927(x112261,a918),f318(f299(x112261),x112262))),x112262))),
% 202.92/202.85 inference(scs_inference,[],[3562,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,10870,4667,10716,3313,3479,10556,10559,10652,10655,3456,3353,3416,3349,3376,3359,3983,3575,3449,4675,10547,3414,10617,4722,3434,3877,3812,4026,3586,10636,10755,10836,10909,10912,10952,11052,3964,3502,4699,10524,10527,10553,10676,10854,11060,11075,4710,3951,3722,4094,3546,3547,3521,4696,4669,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,10859,4248,4155,11130,3878,4236,3895,10679,4714,3518,10645,10742,10821,10895,10959,11034,11081,11084,11115,11141,11177,3519,10727,10964,11055,3520,4695,10564,10593,11099,11144,3669,10824,10915,11188,4706,11108,11118,3579,10946,10976,10979,10988,3611,4030,3969,10596,4703,10544,10934,10937,3539,10982,11138,4327,4700,4038,4687,4691,3495,3499,4690,4688,4716,10845,4721,3961,3776,10898,10901,10994,11164,4719,4720,10735,4382,3992,4717,10569,10572,10940,3962,10904,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497,6499,6505,6510,6544,6545,6548,6549,6550,6552,6553,6554,6555,6564,6597,6598,6607,6629,6630,6652,6654,6666,6667,6673,6703,6705,6720,6758,6761,6762,6820,6843,6888,6903,6910,6919,6920,6921,6922,6941,6942,6949,6961,6964,6966,6967,6968,6970,6972,6986,6997,6998,6999,7013,7070,7081,7083,7087,7106,7107,7142,7149,7154,7185,7215,7272,7301,7359,7380,7390,7394,7454,7464,7524,7526,7540,7549,7550,7551,7569,7573,7575,7620,7630,7633,7648,7695,7697,7700,7743,7744,7762,7832,7850,7875,7898,7910,7924,7935,7946,7947,7973,7975])).
% 202.92/202.85 cnf(11231,plain,
% 202.92/202.85 (P1(f318(f318(f320(f921(x112311)),x112312),f152(x112311,f233(f927(x112311,a918)))))),
% 202.92/202.85 inference(scs_inference,[],[3562,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,10870,4667,10716,3313,3479,10556,10559,10652,10655,3456,3353,3416,3349,3376,3359,3983,3575,3449,4675,10547,3414,10617,4722,3434,3877,3812,4026,3586,10636,10755,10836,10909,10912,10952,11052,3964,3502,4699,10524,10527,10553,10676,10854,11060,11075,4710,3951,3722,4094,3546,3547,3521,4696,4669,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,10859,4248,4155,11130,3878,4236,3895,10679,4714,3518,10645,10742,10821,10895,10959,11034,11081,11084,11115,11141,11177,3519,10727,10964,11055,3520,4695,10564,10593,11099,11144,3669,10824,10915,11188,4706,11108,11118,3579,10946,10976,10979,10988,3611,4030,3969,10596,4703,10544,10934,10937,3539,10982,11138,4327,4700,4038,4687,4691,3495,3499,4690,4688,4716,10845,4721,3961,3776,10898,10901,10994,11164,4719,4720,10735,4382,3992,4717,10569,10572,10940,3962,10904,4221,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497,6499,6505,6510,6544,6545,6548,6549,6550,6552,6553,6554,6555,6564,6597,6598,6607,6629,6630,6652,6654,6666,6667,6673,6703,6705,6720,6758,6761,6762,6820,6843,6888,6903,6910,6919,6920,6921,6922,6941,6942,6949,6961,6964,6966,6967,6968,6970,6972,6986,6997,6998,6999,7013,7070,7081,7083,7087,7106,7107,7142,7149,7154,7185,7215,7272,7301,7359,7380,7390,7394,7454,7464,7524,7526,7540,7549,7550,7551,7569,7573,7575,7620,7630,7633,7648,7695,7697,7700,7743,7744,7762,7832,7850,7875,7898,7910,7924,7935,7946,7947,7973,7975,7977,7986])).
% 202.92/202.85 cnf(11232,plain,
% 202.92/202.85 (P1(f318(f318(f320(x112321),x112322),f233(f927(x112321,a918))))),
% 202.92/202.85 inference(rename_variables,[],[3669])).
% 202.92/202.85 cnf(11235,plain,
% 202.92/202.85 (~P1(f318(f318(f320(f926(f921(x112351),f921(x112351))),f318(f318(f243(f921(x112351),f921(x112351)),x112352),f104(x112351))),f136(x112351,x112353)))),
% 202.92/202.85 inference(rename_variables,[],[4722])).
% 202.92/202.85 cnf(11241,plain,
% 202.92/202.85 (P33(x112411,f318(f278(a920),f318(a103,f2(a920))),x112412)),
% 202.92/202.85 inference(scs_inference,[],[3562,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,10870,4667,10716,3313,3479,10556,10559,10652,10655,3456,3353,3416,3349,3376,3359,3983,3575,3449,4675,10547,3414,10617,4722,3434,3877,3812,4026,3586,10636,10755,10836,10909,10912,10952,11052,3964,3502,4699,10524,10527,10553,10676,10854,11060,11075,4710,3951,3722,4094,3546,3547,3521,4696,4669,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,10859,4248,4155,11130,3878,4236,3895,10679,4714,3518,10645,10742,10821,10895,10959,11034,11081,11084,11115,11141,11177,3519,10727,10964,11055,3520,4695,10564,10593,11099,11144,3669,10824,10915,11188,4706,11108,11118,11224,3579,10946,10976,10979,10988,3611,4030,3969,10596,4703,10544,10934,10937,3539,10982,11138,4327,4700,4038,4687,4691,3495,3499,4690,4688,4716,10845,4721,3961,3670,3776,10898,10901,10994,11164,4719,4720,10735,4382,3992,4717,10569,10572,10940,3962,10904,4221,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497,6499,6505,6510,6544,6545,6548,6549,6550,6552,6553,6554,6555,6564,6597,6598,6607,6629,6630,6652,6654,6666,6667,6673,6703,6705,6720,6758,6761,6762,6820,6843,6888,6903,6910,6919,6920,6921,6922,6941,6942,6949,6961,6964,6966,6967,6968,6970,6972,6986,6997,6998,6999,7013,7070,7081,7083,7087,7106,7107,7142,7149,7154,7185,7215,7272,7301,7359,7380,7390,7394,7454,7464,7524,7526,7540,7549,7550,7551,7569,7573,7575,7620,7630,7633,7648,7695,7697,7700,7743,7744,7762,7832,7850,7875,7898,7910,7924,7935,7946,7947,7973,7975,7977,7986,8025,8037,8062,8089])).
% 202.92/202.85 cnf(11244,plain,
% 202.92/202.85 (~P1(f318(f318(f320(f926(x112441,x112441)),x112442),f254(x112441,f179(f927(x112441,a918)))))),
% 202.92/202.85 inference(scs_inference,[],[3562,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,10870,4667,10716,3313,3479,10556,10559,10652,10655,3456,3353,3416,3349,3376,3359,3983,3575,3449,4675,10547,3414,10617,4722,3434,3877,3812,4026,3586,10636,10755,10836,10909,10912,10952,11052,3964,3502,4699,10524,10527,10553,10676,10854,11060,11075,4710,3951,3722,4094,3546,3547,3521,4696,4669,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,10859,4248,4155,11130,3878,4236,3895,10679,4714,3518,10645,10742,10821,10895,10959,11034,11081,11084,11115,11141,11177,3519,10727,10964,11055,3520,4695,10564,10593,11099,11144,3669,10824,10915,11188,4706,11108,11118,11224,3579,10946,10976,10979,10988,3611,4030,3969,10596,4703,10544,10934,10937,3539,10982,11138,4327,4700,4038,4687,4691,3495,3499,4690,4688,4716,10845,4721,3961,3670,3776,10898,10901,10994,11164,4719,4720,10735,4382,3992,4717,10569,10572,10940,3962,10904,4221,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497,6499,6505,6510,6544,6545,6548,6549,6550,6552,6553,6554,6555,6564,6597,6598,6607,6629,6630,6652,6654,6666,6667,6673,6703,6705,6720,6758,6761,6762,6820,6843,6888,6903,6910,6919,6920,6921,6922,6941,6942,6949,6961,6964,6966,6967,6968,6970,6972,6986,6997,6998,6999,7013,7070,7081,7083,7087,7106,7107,7142,7149,7154,7185,7215,7272,7301,7359,7380,7390,7394,7454,7464,7524,7526,7540,7549,7550,7551,7569,7573,7575,7620,7630,7633,7648,7695,7697,7700,7743,7744,7762,7832,7850,7875,7898,7910,7924,7935,7946,7947,7973,7975,7977,7986,8025,8037,8062,8089,8122])).
% 202.92/202.85 cnf(11245,plain,
% 202.92/202.85 (~P1(f318(f318(f320(x112451),x112452),f179(f927(x112451,a918))))),
% 202.92/202.85 inference(rename_variables,[],[4706])).
% 202.92/202.85 cnf(11247,plain,
% 202.92/202.85 (~P1(f318(f318(f320(x112471),x112472),f318(f302(x112471,x112473,x112474),f179(f927(x112473,a918)))))),
% 202.92/202.85 inference(scs_inference,[],[3562,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,10870,4667,10716,3313,3479,10556,10559,10652,10655,3456,3353,3416,3349,3376,3359,3983,3575,3449,4675,10547,3414,10617,4722,3434,3877,3812,4026,3586,10636,10755,10836,10909,10912,10952,11052,3964,3502,4699,10524,10527,10553,10676,10854,11060,11075,4710,3951,3722,4094,3546,3547,3521,4696,4669,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,10859,4248,4155,11130,3878,4236,3895,10679,4714,3518,10645,10742,10821,10895,10959,11034,11081,11084,11115,11141,11177,3519,10727,10964,11055,3520,4695,10564,10593,11099,11144,3669,10824,10915,11188,4706,11108,11118,11224,11245,3579,10946,10976,10979,10988,3611,4030,3969,10596,4703,10544,10934,10937,3539,10982,11138,4327,4700,4038,4687,4691,3495,3499,4690,4688,4716,10845,4721,3961,3670,3776,10898,10901,10994,11164,4719,4720,10735,4382,3992,4717,10569,10572,10940,3962,10904,4221,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497,6499,6505,6510,6544,6545,6548,6549,6550,6552,6553,6554,6555,6564,6597,6598,6607,6629,6630,6652,6654,6666,6667,6673,6703,6705,6720,6758,6761,6762,6820,6843,6888,6903,6910,6919,6920,6921,6922,6941,6942,6949,6961,6964,6966,6967,6968,6970,6972,6986,6997,6998,6999,7013,7070,7081,7083,7087,7106,7107,7142,7149,7154,7185,7215,7272,7301,7359,7380,7390,7394,7454,7464,7524,7526,7540,7549,7550,7551,7569,7573,7575,7620,7630,7633,7648,7695,7697,7700,7743,7744,7762,7832,7850,7875,7898,7910,7924,7935,7946,7947,7973,7975,7977,7986,8025,8037,8062,8089,8122,8154])).
% 202.92/202.85 cnf(11248,plain,
% 202.92/202.85 (~P1(f318(f318(f320(x112481),x112482),f179(f927(x112481,a918))))),
% 202.92/202.85 inference(rename_variables,[],[4706])).
% 202.92/202.85 cnf(11251,plain,
% 202.92/202.85 (P1(f318(f318(f225(f927(x112511,a918)),x112512),f318(f318(f300(x112511),x112513),x112512)))),
% 202.92/202.85 inference(rename_variables,[],[3959])).
% 202.92/202.85 cnf(11254,plain,
% 202.92/202.85 (P1(f318(f318(f225(a920),x112541),x112541))),
% 202.92/202.85 inference(rename_variables,[],[3518])).
% 202.92/202.85 cnf(11257,plain,
% 202.92/202.85 (P1(f318(f318(f225(f927(x112571,a918)),x112572),f318(f318(f300(x112571),x112573),x112572)))),
% 202.92/202.85 inference(rename_variables,[],[3959])).
% 202.92/202.85 cnf(11260,plain,
% 202.92/202.85 (E(f318(f301(x112601,x112601,f7(x112601)),x112602),x112602)),
% 202.92/202.85 inference(rename_variables,[],[3575])).
% 202.92/202.85 cnf(11262,plain,
% 202.92/202.85 (P36(x112621,x112622,x112623,f105(x112621,f104(x112621)),f104(x112622))),
% 202.92/202.85 inference(scs_inference,[],[3562,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,10870,4667,10716,3313,3363,3479,10556,10559,10652,10655,3456,3353,3416,3349,3376,3359,3983,3575,11133,3449,4675,10547,3414,10617,4722,3434,3877,3812,4026,3586,10636,10755,10836,10909,10912,10952,11052,3964,3502,4699,10524,10527,10553,10676,10854,11060,11075,4710,3951,3722,4094,3546,3547,3521,4696,4669,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,10859,4248,4155,11130,3878,4236,3895,10679,4714,3518,10645,10742,10821,10895,10959,11034,11081,11084,11115,11141,11177,11215,3519,10727,10964,11055,3520,4695,10564,10593,11099,11144,3669,10824,10915,11188,4706,11108,11118,11224,11245,3579,10946,10976,10979,10988,3611,4030,3969,10596,4703,10544,10934,10937,3539,10982,11138,4327,4700,4038,4687,4691,3495,3499,4690,4688,4716,10845,4721,3959,11251,3961,3670,3776,10898,10901,10994,11164,4719,4720,10735,4382,3992,4717,10569,10572,10940,3962,10904,4221,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497,6499,6505,6510,6544,6545,6548,6549,6550,6552,6553,6554,6555,6564,6597,6598,6607,6629,6630,6652,6654,6666,6667,6673,6703,6705,6720,6758,6761,6762,6820,6843,6888,6903,6910,6919,6920,6921,6922,6941,6942,6949,6961,6964,6966,6967,6968,6970,6972,6986,6997,6998,6999,7013,7070,7081,7083,7087,7106,7107,7142,7149,7154,7185,7215,7272,7301,7359,7380,7390,7394,7454,7464,7524,7526,7540,7549,7550,7551,7569,7573,7575,7620,7630,7633,7648,7695,7697,7700,7743,7744,7762,7832,7850,7875,7898,7910,7924,7935,7946,7947,7973,7975,7977,7986,8025,8037,8062,8089,8122,8154,8188,8227,8243,8245,8261])).
% 202.92/202.85 cnf(11275,plain,
% 202.92/202.85 (P1(f318(f318(f225(f927(x112751,a918)),x112752),f318(f318(f300(x112751),x112753),x112752)))),
% 202.92/202.85 inference(rename_variables,[],[3959])).
% 202.92/202.85 cnf(11286,plain,
% 202.92/202.85 (~E(f318(a103,x112861),f2(a920))),
% 202.92/202.85 inference(rename_variables,[],[4667])).
% 202.92/202.85 cnf(11289,plain,
% 202.92/202.85 (~P1(f318(f318(f163(x112891),f104(x112891)),x112892))),
% 202.92/202.85 inference(rename_variables,[],[4702])).
% 202.92/202.85 cnf(11293,plain,
% 202.92/202.85 (~P1(f318(f318(f320(f926(a920,a920)),f318(f318(f243(a920,a920),f318(a103,x112931)),x112931)),f298(a920,a308)))),
% 202.92/202.85 inference(scs_inference,[],[3562,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,10870,4667,10716,10816,3313,3363,3479,10556,10559,10652,10655,3456,3353,3416,3349,3376,3359,3983,3575,11133,3449,4675,10547,3414,10617,4722,3434,3877,3812,4026,3586,10636,10755,10836,10909,10912,10952,11052,3964,3502,4699,10524,10527,10553,10676,10854,11060,11075,4710,3951,3722,4094,3546,3547,3521,4696,4669,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,10859,11045,4248,4155,11130,3878,4236,3895,10679,4714,3518,10645,10742,10821,10895,10959,11034,11081,11084,11115,11141,11177,11215,3519,10727,10964,11055,3520,4695,10564,10593,11099,11144,3669,10824,10915,11188,11232,4706,11108,11118,11224,11245,3579,10946,10976,10979,10988,3611,4030,3969,10596,4703,10544,10934,10937,3539,10982,11138,4327,4700,4038,4687,4691,3495,3499,4690,4688,4716,10845,4721,4112,3959,11251,11257,3961,3670,3776,10898,10901,10994,11164,4719,4720,10735,4382,3992,4717,10569,10572,10940,3962,10904,4221,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497,6499,6505,6510,6544,6545,6548,6549,6550,6552,6553,6554,6555,6564,6597,6598,6607,6629,6630,6652,6654,6666,6667,6673,6703,6705,6720,6758,6761,6762,6820,6843,6888,6903,6910,6919,6920,6921,6922,6941,6942,6949,6961,6964,6966,6967,6968,6970,6972,6986,6997,6998,6999,7013,7070,7081,7083,7087,7106,7107,7142,7149,7154,7185,7215,7272,7301,7359,7380,7390,7394,7454,7464,7524,7526,7540,7549,7550,7551,7569,7573,7575,7620,7630,7633,7648,7695,7697,7700,7743,7744,7762,7832,7850,7875,7898,7910,7924,7935,7946,7947,7973,7975,7977,7986,8025,8037,8062,8089,8122,8154,8188,8227,8243,8245,8261,8262,8330,8341,8408,8432,8451,8478,8517,8518,8536,8575,8577,8579,8586])).
% 202.92/202.85 cnf(11302,plain,
% 202.92/202.85 (P1(f318(f318(f226(a920),x113021),f318(a103,x113021)))),
% 202.92/202.85 inference(rename_variables,[],[3586])).
% 202.92/202.85 cnf(11312,plain,
% 202.92/202.85 (~E(f318(f301(x113121,f927(x113121,a918),x113122),x113123),f318(f299(x113121),x113123))),
% 202.92/202.85 inference(rename_variables,[],[4704])).
% 202.92/202.85 cnf(11315,plain,
% 202.92/202.85 (~P1(f318(f318(f320(x113151),x113152),f179(f927(x113151,a918))))),
% 202.92/202.85 inference(rename_variables,[],[4706])).
% 202.92/202.85 cnf(11318,plain,
% 202.92/202.85 (~P1(f318(f318(f320(x113181),x113182),f179(f927(x113181,a918))))),
% 202.92/202.85 inference(rename_variables,[],[4706])).
% 202.92/202.85 cnf(11321,plain,
% 202.92/202.85 (~P1(f318(f318(f320(f926(x113211,x113211)),f318(f318(f243(x113211,x113211),x113212),x113213)),f144(x113211,f104(f927(x113211,a920)))))),
% 202.92/202.85 inference(rename_variables,[],[4721])).
% 202.92/202.85 cnf(11324,plain,
% 202.92/202.85 (~P1(f318(f318(f320(f926(x113241,x113241)),f318(f318(f243(x113241,x113241),x113242),x113243)),f144(x113241,f104(f927(x113241,a920)))))),
% 202.92/202.85 inference(rename_variables,[],[4721])).
% 202.92/202.85 cnf(11329,plain,
% 202.92/202.85 (~P1(f318(f318(f320(x113291),x113292),f179(f927(x113291,a918))))),
% 202.92/202.85 inference(rename_variables,[],[4706])).
% 202.92/202.85 cnf(11332,plain,
% 202.92/202.85 (P1(f318(f318(f320(f926(x113321,x113321)),f318(f318(f243(x113321,x113321),x113322),x113322)),f298(x113321,x113323)))),
% 202.92/202.85 inference(rename_variables,[],[4146])).
% 202.92/202.85 cnf(11335,plain,
% 202.92/202.85 (P1(f318(f318(f225(f927(x113351,a918)),f318(f163(x113351),f167(x113351,x113352,x113353))),f318(f163(x113351),x113352)))),
% 202.92/202.85 inference(rename_variables,[],[4202])).
% 202.92/202.85 cnf(11338,plain,
% 202.92/202.85 (P1(f318(f318(f225(f927(x113381,a918)),x113382),f233(f927(x113381,a918))))),
% 202.92/202.85 inference(rename_variables,[],[3895])).
% 202.92/202.85 cnf(11354,plain,
% 202.92/202.85 (P1(f318(f318(f225(f927(x113541,a918)),f179(f927(x113541,a918))),x113542))),
% 202.92/202.85 inference(rename_variables,[],[3961])).
% 202.92/202.85 cnf(11365,plain,
% 202.92/202.85 (~P1(f318(f318(f320(f926(f921(x113651),f921(x113651))),f318(f318(f243(f921(x113651),f921(x113651)),x113652),f104(x113651))),f138(x113651,x113653)))),
% 202.92/202.85 inference(rename_variables,[],[4723])).
% 202.92/202.85 cnf(11376,plain,
% 202.92/202.85 (~E(f318(a103,x113761),x113761)),
% 202.92/202.85 inference(rename_variables,[],[4661])).
% 202.92/202.85 cnf(11379,plain,
% 202.92/202.85 (~E(f318(a103,x113791),x113791)),
% 202.92/202.85 inference(rename_variables,[],[4661])).
% 202.92/202.85 cnf(11383,plain,
% 202.92/202.85 (P1(f318(f318(f320(f926(f921(x113831),f921(x113831))),f318(f318(f243(f921(x113831),f921(x113831)),f104(x113831)),f104(x113831))),f318(f318(f280(f921(x113831),f921(x113831),f921(x113831)),f149(x113831,x113832)),f298(f921(x113831),f149(x113831,x113832)))))),
% 202.92/202.85 inference(scs_inference,[],[3562,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,10870,11183,11376,11379,4667,10716,10816,3313,3363,3479,10556,10559,10652,10655,3456,3971,3353,3416,3349,3376,3359,3983,3575,11133,3449,4144,4675,10547,4704,3414,10617,4286,4146,4722,11235,4723,3434,3877,3812,4026,3586,10636,10755,10836,10909,10912,10952,11052,3964,3502,4699,10524,10527,10553,10676,10854,11060,11075,11193,4710,3951,3722,4094,3546,3547,3521,4696,4669,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,10859,11045,4248,4155,11130,4202,3878,4236,3895,10679,10776,4714,3518,10645,10742,10821,10895,10959,11034,11081,11084,11115,11141,11177,11215,3519,10727,10964,11055,3520,4695,10564,10593,11099,11144,3669,10824,10915,11188,11232,4706,11108,11118,11224,11245,11248,11315,11318,3579,10946,10976,10979,10988,3611,4030,3969,10596,4703,10544,10934,10937,3539,10982,11138,4327,4700,4038,4687,4691,3495,3499,4690,4688,4716,10845,4721,11321,4112,3959,11251,11257,3961,10985,3670,3776,10898,10901,10994,11164,4719,4720,10735,4382,3992,4717,10569,10572,10940,3962,10904,4221,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497,6499,6505,6510,6544,6545,6548,6549,6550,6552,6553,6554,6555,6564,6597,6598,6607,6629,6630,6652,6654,6666,6667,6673,6703,6705,6720,6758,6761,6762,6820,6843,6888,6903,6910,6919,6920,6921,6922,6941,6942,6949,6961,6964,6966,6967,6968,6970,6972,6986,6997,6998,6999,7013,7070,7081,7083,7087,7106,7107,7142,7149,7154,7185,7215,7272,7301,7359,7380,7390,7394,7454,7464,7524,7526,7540,7549,7550,7551,7569,7573,7575,7620,7630,7633,7648,7695,7697,7700,7743,7744,7762,7832,7850,7875,7898,7910,7924,7935,7946,7947,7973,7975,7977,7986,8025,8037,8062,8089,8122,8154,8188,8227,8243,8245,8261,8262,8330,8341,8408,8432,8451,8478,8517,8518,8536,8575,8577,8579,8586,8601,8605,8620,8643,8651,8653,8663,8668,8672,8673,8674,8675,8676,8677,8699,8713,8714,8732,8733,8738,8739,8740,8741,8742,8760,8761,8762,8773,8786,8789,8800,8805,8807,8809,8810,8811,8818])).
% 202.92/202.85 cnf(11386,plain,
% 202.92/202.85 (~E(f318(a103,x113861),f2(a920))),
% 202.92/202.85 inference(rename_variables,[],[4667])).
% 202.92/202.85 cnf(11388,plain,
% 202.92/202.85 (E(f318(x113881,f318(f84(x113882,x113883,f233(f927(x113882,a918)),x113881),f318(x113881,x113884))),f318(x113881,x113884))),
% 202.92/202.85 inference(scs_inference,[],[3562,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,10870,11183,11376,11379,4667,10716,10816,11286,3313,3363,3479,10556,10559,10652,10655,3456,3971,3353,3416,3349,3376,3359,3983,3575,11133,3449,4144,4675,10547,4704,3414,10617,4286,4146,4722,11235,4723,3434,3877,3812,4026,3586,10636,10755,10836,10909,10912,10952,11052,3964,3502,4699,10524,10527,10553,10676,10854,11060,11075,11193,4710,3951,3722,4094,3546,3547,3521,4696,4669,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,10859,11045,4248,4155,11130,4202,3878,4236,3895,10679,10776,4714,3518,10645,10742,10821,10895,10959,11034,11081,11084,11115,11141,11177,11215,3519,10727,10964,11055,3520,4695,10564,10593,11099,11144,3669,10824,10915,11188,11232,4706,11108,11118,11224,11245,11248,11315,11318,3579,10946,10976,10979,10988,3611,4030,3969,10596,4703,10544,10934,10937,3539,10982,11138,4327,4700,4038,4687,4691,3495,3499,4690,4688,4716,10845,4721,11321,4112,3959,11251,11257,3961,10985,3670,3776,10898,10901,10994,11164,4719,4720,10735,4382,3992,4717,10569,10572,10940,3962,10904,4221,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497,6499,6505,6510,6544,6545,6548,6549,6550,6552,6553,6554,6555,6564,6597,6598,6607,6629,6630,6652,6654,6666,6667,6673,6703,6705,6720,6758,6761,6762,6820,6843,6888,6903,6910,6919,6920,6921,6922,6941,6942,6949,6961,6964,6966,6967,6968,6970,6972,6986,6997,6998,6999,7013,7070,7081,7083,7087,7106,7107,7142,7149,7154,7185,7215,7272,7301,7359,7380,7390,7394,7454,7464,7524,7526,7540,7549,7550,7551,7569,7573,7575,7620,7630,7633,7648,7695,7697,7700,7743,7744,7762,7832,7850,7875,7898,7910,7924,7935,7946,7947,7973,7975,7977,7986,8025,8037,8062,8089,8122,8154,8188,8227,8243,8245,8261,8262,8330,8341,8408,8432,8451,8478,8517,8518,8536,8575,8577,8579,8586,8601,8605,8620,8643,8651,8653,8663,8668,8672,8673,8674,8675,8676,8677,8699,8713,8714,8732,8733,8738,8739,8740,8741,8742,8760,8761,8762,8773,8786,8789,8800,8805,8807,8809,8810,8811,8818,8824,8832])).
% 202.92/202.85 cnf(11391,plain,
% 202.92/202.85 (P1(f318(f318(f225(f927(x113911,a918)),x113912),x113912))),
% 202.92/202.85 inference(rename_variables,[],[3809])).
% 202.92/202.85 cnf(11398,plain,
% 202.92/202.85 (~E(f318(a103,x113981),x113981)),
% 202.92/202.85 inference(rename_variables,[],[4661])).
% 202.92/202.85 cnf(11401,plain,
% 202.92/202.85 (~E(f318(a103,x114011),x114011)),
% 202.92/202.85 inference(rename_variables,[],[4661])).
% 202.92/202.85 cnf(11403,plain,
% 202.92/202.85 (~P26(x114031,f927(x114031,a918),x114032,x114033,f318(f299(x114031),x114033))),
% 202.92/202.85 inference(scs_inference,[],[3562,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,10870,11183,11376,11379,11398,4667,10716,10816,11286,3313,3363,3479,10556,10559,10652,10655,3456,3971,3353,3416,3349,3376,3359,3983,3575,11133,3449,4144,4675,10547,4704,11312,3414,10617,4286,4146,4722,11235,4723,3434,3877,3812,4026,3586,10636,10755,10836,10909,10912,10952,11052,3964,3502,4699,10524,10527,10553,10676,10854,11060,11075,11193,4710,3951,3722,4094,3546,3547,3521,4696,4669,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,10859,11045,4248,4155,11130,4202,3878,4236,3895,10679,10776,4714,3518,10645,10742,10821,10895,10959,11034,11081,11084,11115,11141,11177,11215,3519,10727,10964,11055,3520,4695,10564,10593,11099,11144,3669,10824,10915,11188,11232,4706,11108,11118,11224,11245,11248,11315,11318,3579,10946,10976,10979,10988,3611,4030,3969,10596,4703,10544,10934,10937,3539,10982,11138,4327,4700,4038,4687,4691,3495,3499,4690,4688,4716,10845,4721,11321,4112,3959,11251,11257,3809,3961,10985,3670,3776,10898,10901,10994,11164,4719,4720,10735,4382,3992,4717,10569,10572,10940,3962,10904,4221,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497,6499,6505,6510,6544,6545,6548,6549,6550,6552,6553,6554,6555,6564,6597,6598,6607,6629,6630,6652,6654,6666,6667,6673,6703,6705,6720,6758,6761,6762,6820,6843,6888,6903,6910,6919,6920,6921,6922,6941,6942,6949,6961,6964,6966,6967,6968,6970,6972,6986,6997,6998,6999,7013,7070,7081,7083,7087,7106,7107,7142,7149,7154,7185,7215,7272,7301,7359,7380,7390,7394,7454,7464,7524,7526,7540,7549,7550,7551,7569,7573,7575,7620,7630,7633,7648,7695,7697,7700,7743,7744,7762,7832,7850,7875,7898,7910,7924,7935,7946,7947,7973,7975,7977,7986,8025,8037,8062,8089,8122,8154,8188,8227,8243,8245,8261,8262,8330,8341,8408,8432,8451,8478,8517,8518,8536,8575,8577,8579,8586,8601,8605,8620,8643,8651,8653,8663,8668,8672,8673,8674,8675,8676,8677,8699,8713,8714,8732,8733,8738,8739,8740,8741,8742,8760,8761,8762,8773,8786,8789,8800,8805,8807,8809,8810,8811,8818,8824,8832,8835,8852,8853,8862,8863,8871])).
% 202.92/202.85 cnf(11406,plain,
% 202.92/202.85 (P25(x114061,x114061,f7(x114061),x114062)),
% 202.92/202.85 inference(rename_variables,[],[3753])).
% 202.92/202.85 cnf(11411,plain,
% 202.92/202.85 (~E(f318(f301(x114111,f927(x114111,a918),x114112),x114113),f318(f299(x114111),x114113))),
% 202.92/202.85 inference(rename_variables,[],[4704])).
% 202.92/202.85 cnf(11416,plain,
% 202.92/202.85 (P1(f318(f318(f225(f927(x114161,a918)),x114162),f233(f927(x114161,a918))))),
% 202.92/202.85 inference(rename_variables,[],[3895])).
% 202.92/202.85 cnf(11432,plain,
% 202.92/202.85 (~P1(f318(f318(f320(x114321),x114322),f179(f927(x114321,a918))))),
% 202.92/202.85 inference(rename_variables,[],[4706])).
% 202.92/202.85 cnf(11435,plain,
% 202.92/202.85 (~P1(f318(f318(f225(a920),f318(a103,x114351)),x114351))),
% 202.92/202.85 inference(rename_variables,[],[4703])).
% 202.92/202.85 cnf(11442,plain,
% 202.92/202.85 (~P1(f318(f318(f320(x114421),x114422),f179(f927(x114421,a918))))),
% 202.92/202.85 inference(rename_variables,[],[4706])).
% 202.92/202.85 cnf(11450,plain,
% 202.92/202.85 (~P1(f318(f318(f320(a920),f318(a103,f318(f133(a920,a920,f73(a920),f2(a920)),x114501))),f318(f163(a920),x114501)))),
% 202.92/202.85 inference(scs_inference,[],[3562,3753,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,10870,11183,11376,11379,11398,4667,10716,10816,11286,3313,3363,3479,10556,10559,10652,10655,3456,3971,3353,3416,3349,3376,3359,3983,3575,11133,3449,4144,4675,10547,4704,11312,3622,3414,10617,4286,4146,4722,11235,4723,3434,3877,3812,4026,3586,10636,10755,10836,10909,10912,10952,11052,11302,3964,3502,4699,10524,10527,10553,10676,10854,11060,11075,11193,4710,3951,3722,4094,3546,3547,3521,4696,4669,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,10859,11045,4248,4155,11130,4202,3878,4236,3895,10679,10776,11338,4714,3518,10645,10742,10821,10895,10959,11034,11081,11084,11115,11141,11177,11215,3519,10727,10964,11055,3520,4695,10564,10593,11099,11144,3669,10824,10915,11188,11232,4706,11108,11118,11224,11245,11248,11315,11318,11329,11432,3579,10946,10976,10979,10988,3611,4030,3969,10596,4703,10544,10934,10937,11435,3539,10982,11138,4327,4700,4038,4687,4691,3495,3499,4690,4688,4716,10845,4721,11321,4112,3959,11251,11257,3809,3961,10985,3670,3776,10898,10901,10994,11164,4719,4720,10735,4382,3992,4717,10569,10572,10940,3962,10904,4221,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497,6499,6505,6510,6544,6545,6548,6549,6550,6552,6553,6554,6555,6564,6597,6598,6607,6629,6630,6652,6654,6666,6667,6673,6703,6705,6720,6758,6761,6762,6820,6843,6888,6903,6910,6919,6920,6921,6922,6941,6942,6949,6961,6964,6966,6967,6968,6970,6972,6986,6997,6998,6999,7013,7070,7081,7083,7087,7106,7107,7142,7149,7154,7185,7215,7272,7301,7359,7380,7390,7394,7454,7464,7524,7526,7540,7549,7550,7551,7569,7573,7575,7620,7630,7633,7648,7695,7697,7700,7743,7744,7762,7832,7850,7875,7898,7910,7924,7935,7946,7947,7973,7975,7977,7986,8025,8037,8062,8089,8122,8154,8188,8227,8243,8245,8261,8262,8330,8341,8408,8432,8451,8478,8517,8518,8536,8575,8577,8579,8586,8601,8605,8620,8643,8651,8653,8663,8668,8672,8673,8674,8675,8676,8677,8699,8713,8714,8732,8733,8738,8739,8740,8741,8742,8760,8761,8762,8773,8786,8789,8800,8805,8807,8809,8810,8811,8818,8824,8832,8835,8852,8853,8862,8863,8871,8890,8903,8907,8928,8950,8951,8954,8955,8961,8971,8972,8995,9006,9016,9017,9018,9021,9044,9045,9056])).
% 202.92/202.85 cnf(11451,plain,
% 202.92/202.85 (~P1(f318(f318(f225(a920),f318(a103,x114511)),x114511))),
% 202.92/202.85 inference(rename_variables,[],[4703])).
% 202.92/202.85 cnf(11454,plain,
% 202.92/202.85 (~P1(f318(f318(f320(x114541),x114542),f179(f927(x114541,a918))))),
% 202.92/202.85 inference(rename_variables,[],[4706])).
% 202.92/202.85 cnf(11463,plain,
% 202.92/202.85 (P1(f318(f318(f320(f926(x114631,x114631)),f318(f318(f243(x114631,x114631),x114632),x114632)),f298(x114631,x114633)))),
% 202.92/202.85 inference(rename_variables,[],[4146])).
% 202.92/202.85 cnf(11466,plain,
% 202.92/202.85 (P1(f318(f318(f320(x114661),x114662),f233(f927(x114661,a918))))),
% 202.92/202.85 inference(rename_variables,[],[3669])).
% 202.92/202.85 cnf(11469,plain,
% 202.92/202.85 (P1(f318(f318(f320(x114691),x114692),f233(f927(x114691,a918))))),
% 202.92/202.85 inference(rename_variables,[],[3669])).
% 202.92/202.85 cnf(11476,plain,
% 202.92/202.85 (~P1(f318(f318(f320(f926(f921(x114761),f921(x114761))),f318(f318(f243(f921(x114761),f921(x114761)),x114762),f104(x114761))),f136(x114761,x114763)))),
% 202.92/202.85 inference(rename_variables,[],[4722])).
% 202.92/202.85 cnf(11479,plain,
% 202.92/202.85 (~P1(f318(f318(f320(f926(f921(x114791),f921(x114791))),f318(f318(f243(f921(x114791),f921(x114791)),x114792),f104(x114791))),f138(x114791,x114793)))),
% 202.92/202.85 inference(rename_variables,[],[4723])).
% 202.92/202.85 cnf(11482,plain,
% 202.92/202.85 (~P1(f318(f318(f320(f926(f921(x114821),f921(x114821))),f318(f318(f243(f921(x114821),f921(x114821)),x114822),f104(x114821))),f148(x114821,x114823)))),
% 202.92/202.85 inference(rename_variables,[],[4724])).
% 202.92/202.85 cnf(11484,plain,
% 202.92/202.85 (~P1(f318(f318(f320(f926(f921(x114841),f921(x114841))),f318(f318(f243(f921(x114841),f921(x114841)),f104(x114841)),x114842)),f318(f277(f921(x114841),f921(x114841)),f136(x114841,x114843))))),
% 202.92/202.85 inference(scs_inference,[],[3562,3753,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,10870,11183,11376,11379,11398,4667,10716,10816,11286,3313,3363,3479,10556,10559,10652,10655,3456,3971,3353,3416,3349,3376,3359,3983,3575,11133,3449,4144,4675,10547,4704,11312,3622,3414,10617,4286,4146,11332,4722,11235,11476,4723,11365,4724,3434,3877,3812,4026,3586,10636,10755,10836,10909,10912,10952,11052,11302,3964,3502,4699,10524,10527,10553,10676,10854,11060,11075,11193,4710,3951,3722,4094,3546,3547,3521,4696,4669,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,10859,11045,4248,4155,11130,4202,3878,4236,3895,10679,10776,11338,4714,3518,10645,10742,10821,10895,10959,11034,11081,11084,11115,11141,11177,11215,3519,10727,10964,11055,3520,4695,10564,10593,11099,11144,3669,10824,10915,11188,11232,11466,4706,11108,11118,11224,11245,11248,11315,11318,11329,11432,11442,3579,10946,10976,10979,10988,3611,4030,3969,10596,4703,10544,10934,10937,11435,3539,10982,11138,4327,4700,4038,4687,4691,3495,3499,4690,4688,4716,10845,4721,11321,4112,3959,11251,11257,3809,3961,10985,3670,3776,10898,10901,10994,11164,4719,4720,10735,4382,3992,4717,10569,10572,10940,3962,10904,4221,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497,6499,6505,6510,6544,6545,6548,6549,6550,6552,6553,6554,6555,6564,6597,6598,6607,6629,6630,6652,6654,6666,6667,6673,6703,6705,6720,6758,6761,6762,6820,6843,6888,6903,6910,6919,6920,6921,6922,6941,6942,6949,6961,6964,6966,6967,6968,6970,6972,6986,6997,6998,6999,7013,7070,7081,7083,7087,7106,7107,7142,7149,7154,7185,7215,7272,7301,7359,7380,7390,7394,7454,7464,7524,7526,7540,7549,7550,7551,7569,7573,7575,7620,7630,7633,7648,7695,7697,7700,7743,7744,7762,7832,7850,7875,7898,7910,7924,7935,7946,7947,7973,7975,7977,7986,8025,8037,8062,8089,8122,8154,8188,8227,8243,8245,8261,8262,8330,8341,8408,8432,8451,8478,8517,8518,8536,8575,8577,8579,8586,8601,8605,8620,8643,8651,8653,8663,8668,8672,8673,8674,8675,8676,8677,8699,8713,8714,8732,8733,8738,8739,8740,8741,8742,8760,8761,8762,8773,8786,8789,8800,8805,8807,8809,8810,8811,8818,8824,8832,8835,8852,8853,8862,8863,8871,8890,8903,8907,8928,8950,8951,8954,8955,8961,8971,8972,8995,9006,9016,9017,9018,9021,9044,9045,9056,9108,9118,9120,9136,9148,9149,9150,9161,9227,9258,9259,9260,9275])).
% 202.92/202.85 cnf(11487,plain,
% 202.92/202.85 (~P1(f318(f318(f226(f927(x114871,a918)),x114872),f179(f927(x114871,a918))))),
% 202.92/202.85 inference(rename_variables,[],[4714])).
% 202.92/202.85 cnf(11489,plain,
% 202.92/202.85 (~P1(f318(f318(f320(x114891),x114892),f318(f301(x114893,x114891,x114894),f179(f927(x114893,a918)))))),
% 202.92/202.85 inference(scs_inference,[],[3562,3753,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,10870,11183,11376,11379,11398,4667,10716,10816,11286,3313,3363,3479,10556,10559,10652,10655,3456,3971,3353,3416,3349,3376,3359,3983,3575,11133,3449,4144,4675,10547,4704,11312,3622,3414,10617,4286,4146,11332,4722,11235,11476,4723,11365,4724,3434,3877,3812,4026,3586,10636,10755,10836,10909,10912,10952,11052,11302,3964,3502,4699,10524,10527,10553,10676,10854,11060,11075,11193,4710,3951,3722,4094,3546,3547,3521,4696,4669,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,10859,11045,4248,4155,11130,4202,3878,4236,3895,10679,10776,11338,4714,11078,3518,10645,10742,10821,10895,10959,11034,11081,11084,11115,11141,11177,11215,3519,10727,10964,11055,3520,4695,10564,10593,11099,11144,3669,10824,10915,11188,11232,11466,4706,11108,11118,11224,11245,11248,11315,11318,11329,11432,11442,11454,3579,10946,10976,10979,10988,3611,4030,3969,10596,4703,10544,10934,10937,11435,3539,10982,11138,4327,4700,4038,4687,4691,3495,3499,4690,4688,4716,10845,4721,11321,4112,3959,11251,11257,3809,3961,10985,3670,3776,10898,10901,10994,11164,4719,4720,10735,4382,3992,4717,10569,10572,10940,3962,10904,4221,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497,6499,6505,6510,6544,6545,6548,6549,6550,6552,6553,6554,6555,6564,6597,6598,6607,6629,6630,6652,6654,6666,6667,6673,6703,6705,6720,6758,6761,6762,6820,6843,6888,6903,6910,6919,6920,6921,6922,6941,6942,6949,6961,6964,6966,6967,6968,6970,6972,6986,6997,6998,6999,7013,7070,7081,7083,7087,7106,7107,7142,7149,7154,7185,7215,7272,7301,7359,7380,7390,7394,7454,7464,7524,7526,7540,7549,7550,7551,7569,7573,7575,7620,7630,7633,7648,7695,7697,7700,7743,7744,7762,7832,7850,7875,7898,7910,7924,7935,7946,7947,7973,7975,7977,7986,8025,8037,8062,8089,8122,8154,8188,8227,8243,8245,8261,8262,8330,8341,8408,8432,8451,8478,8517,8518,8536,8575,8577,8579,8586,8601,8605,8620,8643,8651,8653,8663,8668,8672,8673,8674,8675,8676,8677,8699,8713,8714,8732,8733,8738,8739,8740,8741,8742,8760,8761,8762,8773,8786,8789,8800,8805,8807,8809,8810,8811,8818,8824,8832,8835,8852,8853,8862,8863,8871,8890,8903,8907,8928,8950,8951,8954,8955,8961,8971,8972,8995,9006,9016,9017,9018,9021,9044,9045,9056,9108,9118,9120,9136,9148,9149,9150,9161,9227,9258,9259,9260,9275,9292,9300])).
% 202.92/202.85 cnf(11490,plain,
% 202.92/202.85 (~P1(f318(f318(f320(x114901),x114902),f179(f927(x114901,a918))))),
% 202.92/202.85 inference(rename_variables,[],[4706])).
% 202.92/202.85 cnf(11494,plain,
% 202.92/202.85 (P1(f318(f318(f225(f927(x114941,a918)),x114942),f318(f318(f101(f927(x114941,a918)),x114943),f233(f927(x114941,a918)))))),
% 202.92/202.85 inference(scs_inference,[],[3562,3753,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,10870,11183,11376,11379,11398,4667,10716,10816,11286,3313,3363,3479,10556,10559,10652,10655,3456,3971,3353,3416,3349,3376,3359,3983,3575,11133,3449,4144,4675,10547,4704,11312,3622,3414,10617,4286,4146,11332,4722,11235,11476,4723,11365,4724,3434,3877,3812,4026,3586,10636,10755,10836,10909,10912,10952,11052,11302,3964,3502,4699,10524,10527,10553,10676,10854,11060,11075,11193,4710,3951,3722,4094,3546,3547,3521,4696,4669,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,10859,11045,4248,4155,11130,4202,3878,4236,3895,10679,10776,11338,11416,4714,11078,3518,10645,10742,10821,10895,10959,11034,11081,11084,11115,11141,11177,11215,3519,10727,10964,11055,3520,4695,10564,10593,11099,11144,3669,10824,10915,11188,11232,11466,4706,11108,11118,11224,11245,11248,11315,11318,11329,11432,11442,11454,3579,10946,10976,10979,10988,3611,4030,3969,10596,4703,10544,10934,10937,11435,3539,10982,11138,4327,4700,4038,4687,4691,3495,3499,4690,4688,4716,10845,4721,11321,4112,3959,11251,11257,3809,3961,10985,3670,3776,10898,10901,10994,11164,4719,4720,10735,4382,3992,4717,10569,10572,10940,3962,10904,4221,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497,6499,6505,6510,6544,6545,6548,6549,6550,6552,6553,6554,6555,6564,6597,6598,6607,6629,6630,6652,6654,6666,6667,6673,6703,6705,6720,6758,6761,6762,6820,6843,6888,6903,6910,6919,6920,6921,6922,6941,6942,6949,6961,6964,6966,6967,6968,6970,6972,6986,6997,6998,6999,7013,7070,7081,7083,7087,7106,7107,7142,7149,7154,7185,7215,7272,7301,7359,7380,7390,7394,7454,7464,7524,7526,7540,7549,7550,7551,7569,7573,7575,7620,7630,7633,7648,7695,7697,7700,7743,7744,7762,7832,7850,7875,7898,7910,7924,7935,7946,7947,7973,7975,7977,7986,8025,8037,8062,8089,8122,8154,8188,8227,8243,8245,8261,8262,8330,8341,8408,8432,8451,8478,8517,8518,8536,8575,8577,8579,8586,8601,8605,8620,8643,8651,8653,8663,8668,8672,8673,8674,8675,8676,8677,8699,8713,8714,8732,8733,8738,8739,8740,8741,8742,8760,8761,8762,8773,8786,8789,8800,8805,8807,8809,8810,8811,8818,8824,8832,8835,8852,8853,8862,8863,8871,8890,8903,8907,8928,8950,8951,8954,8955,8961,8971,8972,8995,9006,9016,9017,9018,9021,9044,9045,9056,9108,9118,9120,9136,9148,9149,9150,9161,9227,9258,9259,9260,9275,9292,9300,9328,9329])).
% 202.92/202.85 cnf(11495,plain,
% 202.92/202.85 (P1(f318(f318(f225(f927(x114951,a918)),x114952),f233(f927(x114951,a918))))),
% 202.92/202.85 inference(rename_variables,[],[3895])).
% 202.92/202.85 cnf(11497,plain,
% 202.92/202.85 (~P61(f921(x114971),f149(x114971,x114972))),
% 202.92/202.85 inference(scs_inference,[],[3562,3753,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,10870,11183,11376,11379,11398,4667,10716,10816,11286,3313,3363,3479,10556,10559,10652,10655,3456,3971,3353,3416,3349,3376,3359,3983,3575,11133,3449,4144,4675,10547,4704,11312,3622,3414,10617,4286,4146,11332,4722,11235,11476,4723,11365,4724,3434,3877,3812,4026,3586,10636,10755,10836,10909,10912,10952,11052,11302,3964,3502,4699,10524,10527,10553,10676,10854,11060,11075,11193,4710,3951,3722,4094,3546,3547,3521,4696,4669,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,10859,11045,4248,4155,11130,4202,3878,4236,3895,10679,10776,11338,11416,4714,11078,3518,10645,10742,10821,10895,10959,11034,11081,11084,11115,11141,11177,11215,3519,10727,10964,11055,3520,4695,10564,10593,11099,11144,3669,10824,10915,11188,11232,11466,4706,11108,11118,11224,11245,11248,11315,11318,11329,11432,11442,11454,3579,10946,10976,10979,10988,3611,4030,3969,10596,4703,10544,10934,10937,11435,3539,10982,11138,4327,4700,4038,4687,4691,3495,3499,4690,4688,4716,10845,4721,11321,4112,3959,11251,11257,3809,3961,10985,3670,3776,10898,10901,10994,11164,4719,4720,10735,4382,3992,4717,10569,10572,10940,3962,10904,4221,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497,6499,6505,6510,6544,6545,6548,6549,6550,6552,6553,6554,6555,6564,6597,6598,6607,6629,6630,6652,6654,6666,6667,6673,6703,6705,6720,6758,6761,6762,6820,6843,6888,6903,6910,6919,6920,6921,6922,6941,6942,6949,6961,6964,6966,6967,6968,6970,6972,6986,6997,6998,6999,7013,7070,7081,7083,7087,7106,7107,7142,7149,7154,7185,7215,7272,7301,7359,7380,7390,7394,7454,7464,7524,7526,7540,7549,7550,7551,7569,7573,7575,7620,7630,7633,7648,7695,7697,7700,7743,7744,7762,7832,7850,7875,7898,7910,7924,7935,7946,7947,7973,7975,7977,7986,8025,8037,8062,8089,8122,8154,8188,8227,8243,8245,8261,8262,8330,8341,8408,8432,8451,8478,8517,8518,8536,8575,8577,8579,8586,8601,8605,8620,8643,8651,8653,8663,8668,8672,8673,8674,8675,8676,8677,8699,8713,8714,8732,8733,8738,8739,8740,8741,8742,8760,8761,8762,8773,8786,8789,8800,8805,8807,8809,8810,8811,8818,8824,8832,8835,8852,8853,8862,8863,8871,8890,8903,8907,8928,8950,8951,8954,8955,8961,8971,8972,8995,9006,9016,9017,9018,9021,9044,9045,9056,9108,9118,9120,9136,9148,9149,9150,9161,9227,9258,9259,9260,9275,9292,9300,9328,9329,9400])).
% 202.92/202.85 cnf(11501,plain,
% 202.92/202.85 (~P1(f318(f318(f246(x115011,x115012,a918,f318(f163(x115013),f104(x115013))),x115014),x115015))),
% 202.92/202.85 inference(scs_inference,[],[3562,3753,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,10870,11183,11376,11379,11398,4667,10716,10816,11286,3313,3363,3479,10556,10559,10652,10655,3456,3971,3353,3416,3349,3376,3359,3983,3575,11133,3449,4144,4675,10547,4704,11312,3622,3414,10617,4286,4146,11332,4722,11235,11476,4723,11365,4724,3434,3877,3812,4026,3586,10636,10755,10836,10909,10912,10952,11052,11302,3964,3502,4699,10524,10527,10553,10676,10854,11060,11075,11193,4710,3951,3722,4094,3546,3547,3521,4696,4669,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,10859,11045,11289,4248,4155,11130,4202,3878,4236,3895,10679,10776,11338,11416,4714,11078,3518,10645,10742,10821,10895,10959,11034,11081,11084,11115,11141,11177,11215,3519,10727,10964,11055,3520,4695,10564,10593,11099,11144,3669,10824,10915,11188,11232,11466,4706,11108,11118,11224,11245,11248,11315,11318,11329,11432,11442,11454,3579,10946,10976,10979,10988,3611,4030,3969,10596,4703,10544,10934,10937,11435,3539,10982,11138,4327,4700,4038,4687,4691,3495,3499,4690,4688,4716,10845,4721,11321,4112,3959,11251,11257,3809,3961,10985,3670,3776,10898,10901,10994,11164,4719,4720,10735,4382,3992,4717,10569,10572,10940,3962,10904,4221,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497,6499,6505,6510,6544,6545,6548,6549,6550,6552,6553,6554,6555,6564,6597,6598,6607,6629,6630,6652,6654,6666,6667,6673,6703,6705,6720,6758,6761,6762,6820,6843,6888,6903,6910,6919,6920,6921,6922,6941,6942,6949,6961,6964,6966,6967,6968,6970,6972,6986,6997,6998,6999,7013,7070,7081,7083,7087,7106,7107,7142,7149,7154,7185,7215,7272,7301,7359,7380,7390,7394,7454,7464,7524,7526,7540,7549,7550,7551,7569,7573,7575,7620,7630,7633,7648,7695,7697,7700,7743,7744,7762,7832,7850,7875,7898,7910,7924,7935,7946,7947,7973,7975,7977,7986,8025,8037,8062,8089,8122,8154,8188,8227,8243,8245,8261,8262,8330,8341,8408,8432,8451,8478,8517,8518,8536,8575,8577,8579,8586,8601,8605,8620,8643,8651,8653,8663,8668,8672,8673,8674,8675,8676,8677,8699,8713,8714,8732,8733,8738,8739,8740,8741,8742,8760,8761,8762,8773,8786,8789,8800,8805,8807,8809,8810,8811,8818,8824,8832,8835,8852,8853,8862,8863,8871,8890,8903,8907,8928,8950,8951,8954,8955,8961,8971,8972,8995,9006,9016,9017,9018,9021,9044,9045,9056,9108,9118,9120,9136,9148,9149,9150,9161,9227,9258,9259,9260,9275,9292,9300,9328,9329,9400,9433,9439])).
% 202.92/202.85 cnf(11502,plain,
% 202.92/202.85 (~P1(f318(f318(f163(x115021),f104(x115021)),x115022))),
% 202.92/202.85 inference(rename_variables,[],[4702])).
% 202.92/202.85 cnf(11507,plain,
% 202.92/202.85 (~P1(f318(f318(f320(x115071),x115072),f179(f927(x115071,a918))))),
% 202.92/202.85 inference(rename_variables,[],[4706])).
% 202.92/202.85 cnf(11510,plain,
% 202.92/202.85 (~P1(f318(f318(f320(f926(x115101,x115101)),f318(f318(f243(x115101,x115101),x115102),x115103)),f144(x115101,f104(f927(x115101,a920)))))),
% 202.92/202.85 inference(rename_variables,[],[4721])).
% 202.92/202.85 cnf(11513,plain,
% 202.92/202.85 (P1(f318(f318(f225(f927(x115131,a918)),x115132),x115132))),
% 202.92/202.85 inference(rename_variables,[],[3809])).
% 202.92/202.85 cnf(11516,plain,
% 202.92/202.85 (~P1(f318(f318(f320(x115161),x115162),f179(f927(x115161,a918))))),
% 202.92/202.85 inference(rename_variables,[],[4706])).
% 202.92/202.85 cnf(11518,plain,
% 202.92/202.85 (P1(f318(f318(f225(f927(x115181,a918)),f318(f276(x115182,x115181,f179(f927(f926(x115182,x115181),a918))),x115183)),x115184))),
% 202.92/202.85 inference(scs_inference,[],[3562,3753,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,10870,11183,11376,11379,11398,4667,10716,10816,11286,3313,3363,3479,10556,10559,10652,10655,3456,3971,3353,3416,3349,3376,3359,3983,3575,11133,3449,4144,4675,10547,4704,11312,3622,3414,10617,4286,4146,11332,4722,11235,11476,4723,11365,4724,3434,3877,3812,4026,3586,10636,10755,10836,10909,10912,10952,11052,11302,3964,3502,4699,10524,10527,10553,10676,10854,11060,11075,11193,4710,3951,3722,4094,3546,3547,3521,4696,4669,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,10859,11045,11289,4248,4155,11130,4202,3878,4236,3895,10679,10776,11338,11416,4714,11078,3518,10645,10742,10821,10895,10959,11034,11081,11084,11115,11141,11177,11215,3519,10727,10964,11055,3520,4695,10564,10593,11099,11144,3669,10824,10915,11188,11232,11466,4706,11108,11118,11224,11245,11248,11315,11318,11329,11432,11442,11454,11490,11507,3579,10946,10976,10979,10988,3611,4030,3969,10596,4703,10544,10934,10937,11435,3539,10982,11138,4327,4700,4038,4687,4691,3495,3499,4690,4688,4716,10845,4721,11321,11324,4112,3959,11251,11257,3809,11391,3961,10985,11354,3670,3776,10898,10901,10994,11164,4719,4720,10735,4382,3992,4717,10569,10572,10940,3962,10904,4221,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497,6499,6505,6510,6544,6545,6548,6549,6550,6552,6553,6554,6555,6564,6597,6598,6607,6629,6630,6652,6654,6666,6667,6673,6703,6705,6720,6758,6761,6762,6820,6843,6888,6903,6910,6919,6920,6921,6922,6941,6942,6949,6961,6964,6966,6967,6968,6970,6972,6986,6997,6998,6999,7013,7070,7081,7083,7087,7106,7107,7142,7149,7154,7185,7215,7272,7301,7359,7380,7390,7394,7454,7464,7524,7526,7540,7549,7550,7551,7569,7573,7575,7620,7630,7633,7648,7695,7697,7700,7743,7744,7762,7832,7850,7875,7898,7910,7924,7935,7946,7947,7973,7975,7977,7986,8025,8037,8062,8089,8122,8154,8188,8227,8243,8245,8261,8262,8330,8341,8408,8432,8451,8478,8517,8518,8536,8575,8577,8579,8586,8601,8605,8620,8643,8651,8653,8663,8668,8672,8673,8674,8675,8676,8677,8699,8713,8714,8732,8733,8738,8739,8740,8741,8742,8760,8761,8762,8773,8786,8789,8800,8805,8807,8809,8810,8811,8818,8824,8832,8835,8852,8853,8862,8863,8871,8890,8903,8907,8928,8950,8951,8954,8955,8961,8971,8972,8995,9006,9016,9017,9018,9021,9044,9045,9056,9108,9118,9120,9136,9148,9149,9150,9161,9227,9258,9259,9260,9275,9292,9300,9328,9329,9400,9433,9439,9449,9450,9451,9461,9490,9506])).
% 202.92/202.85 cnf(11519,plain,
% 202.92/202.85 (P1(f318(f318(f225(f927(x115191,a918)),f179(f927(x115191,a918))),x115192))),
% 202.92/202.85 inference(rename_variables,[],[3961])).
% 202.92/202.85 cnf(11522,plain,
% 202.92/202.85 (P1(f318(f318(f320(f926(x115221,x115221)),f318(f318(f243(x115221,x115221),x115222),x115222)),f298(x115221,x115223)))),
% 202.92/202.85 inference(rename_variables,[],[4146])).
% 202.92/202.85 cnf(11524,plain,
% 202.92/202.85 (~P36(x115241,x115242,x115243,f318(f318(f145(x115244,x115241),x115245),f318(a103,f104(x115244))),f104(x115242))),
% 202.92/202.85 inference(scs_inference,[],[3562,3753,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,10870,11183,11376,11379,11398,4667,10716,10816,11286,3313,3363,3479,10556,10559,10652,10655,3456,3971,3353,3416,3349,3376,3359,3983,3575,11133,3449,4144,4675,10547,4704,11312,3622,3414,10617,4286,4146,11332,11463,4722,11235,11476,4723,11365,4724,3434,3877,3812,4026,3586,10636,10755,10836,10909,10912,10952,11052,11302,3964,3502,4699,10524,10527,10553,10676,10854,11060,11075,11193,4710,3951,3722,4094,3546,3547,3521,4696,4669,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,10859,11045,11289,4248,4155,11130,4202,3878,4236,3895,10679,10776,11338,11416,4714,11078,3518,10645,10742,10821,10895,10959,11034,11081,11084,11115,11141,11177,11215,3519,10727,10964,11055,3520,4695,10564,10593,11099,11144,3669,10824,10915,11188,11232,11466,4706,11108,11118,11224,11245,11248,11315,11318,11329,11432,11442,11454,11490,11507,3579,10946,10976,10979,10988,3611,4030,3969,10596,4703,10544,10934,10937,11435,3539,10982,11138,4327,4700,4038,4687,4691,3495,3499,4690,4688,4716,10845,4721,11321,11324,4112,3959,11251,11257,3809,11391,3961,10985,11354,3670,3776,10898,10901,10994,11164,4719,4720,10735,4382,3992,4717,10569,10572,10940,3962,10904,4221,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497,6499,6505,6510,6544,6545,6548,6549,6550,6552,6553,6554,6555,6564,6597,6598,6607,6629,6630,6652,6654,6666,6667,6673,6703,6705,6720,6758,6761,6762,6820,6843,6888,6903,6910,6919,6920,6921,6922,6941,6942,6949,6961,6964,6966,6967,6968,6970,6972,6986,6997,6998,6999,7013,7070,7081,7083,7087,7106,7107,7142,7149,7154,7185,7215,7272,7301,7359,7380,7390,7394,7454,7464,7524,7526,7540,7549,7550,7551,7569,7573,7575,7620,7630,7633,7648,7695,7697,7700,7743,7744,7762,7832,7850,7875,7898,7910,7924,7935,7946,7947,7973,7975,7977,7986,8025,8037,8062,8089,8122,8154,8188,8227,8243,8245,8261,8262,8330,8341,8408,8432,8451,8478,8517,8518,8536,8575,8577,8579,8586,8601,8605,8620,8643,8651,8653,8663,8668,8672,8673,8674,8675,8676,8677,8699,8713,8714,8732,8733,8738,8739,8740,8741,8742,8760,8761,8762,8773,8786,8789,8800,8805,8807,8809,8810,8811,8818,8824,8832,8835,8852,8853,8862,8863,8871,8890,8903,8907,8928,8950,8951,8954,8955,8961,8971,8972,8995,9006,9016,9017,9018,9021,9044,9045,9056,9108,9118,9120,9136,9148,9149,9150,9161,9227,9258,9259,9260,9275,9292,9300,9328,9329,9400,9433,9439,9449,9450,9451,9461,9490,9506,9510,9514])).
% 202.92/202.85 cnf(11528,plain,
% 202.92/202.85 (P36(x115281,x115282,x115283,f318(f318(f145(x115284,x115281),x115285),f105(x115284,f104(x115284))),f104(x115282))),
% 202.92/202.85 inference(scs_inference,[],[3562,3753,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,10870,11183,11376,11379,11398,4667,10716,10816,11286,3313,3363,3479,10556,10559,10652,10655,3456,3971,3353,3416,3349,3376,3359,3983,3575,11133,3449,4144,4675,10547,4704,11312,3622,3414,10617,4286,4146,11332,11463,4722,11235,11476,4723,11365,4724,3434,3877,3812,4026,3586,10636,10755,10836,10909,10912,10952,11052,11302,3964,3502,4699,10524,10527,10553,10676,10854,11060,11075,11193,4710,3951,3722,4094,3546,3547,3521,4696,4669,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,10859,11045,11289,4248,4155,11130,4202,3878,4236,3895,10679,10776,11338,11416,4714,11078,3518,10645,10742,10821,10895,10959,11034,11081,11084,11115,11141,11177,11215,3519,10727,10964,11055,3520,4695,10564,10593,11099,11144,3669,10824,10915,11188,11232,11466,4706,11108,11118,11224,11245,11248,11315,11318,11329,11432,11442,11454,11490,11507,3579,10946,10976,10979,10988,3611,4030,3969,10596,4703,10544,10934,10937,11435,3539,10982,11138,4327,4700,4038,4687,4691,3495,3499,4690,4688,4716,10845,4721,11321,11324,4112,3959,11251,11257,3809,11391,3961,10985,11354,3670,3776,10898,10901,10994,11164,4719,4720,10735,4382,3992,4717,10569,10572,10940,3962,10904,4221,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497,6499,6505,6510,6544,6545,6548,6549,6550,6552,6553,6554,6555,6564,6597,6598,6607,6629,6630,6652,6654,6666,6667,6673,6703,6705,6720,6758,6761,6762,6820,6843,6888,6903,6910,6919,6920,6921,6922,6941,6942,6949,6961,6964,6966,6967,6968,6970,6972,6986,6997,6998,6999,7013,7070,7081,7083,7087,7106,7107,7142,7149,7154,7185,7215,7272,7301,7359,7380,7390,7394,7454,7464,7524,7526,7540,7549,7550,7551,7569,7573,7575,7620,7630,7633,7648,7695,7697,7700,7743,7744,7762,7832,7850,7875,7898,7910,7924,7935,7946,7947,7973,7975,7977,7986,8025,8037,8062,8089,8122,8154,8188,8227,8243,8245,8261,8262,8330,8341,8408,8432,8451,8478,8517,8518,8536,8575,8577,8579,8586,8601,8605,8620,8643,8651,8653,8663,8668,8672,8673,8674,8675,8676,8677,8699,8713,8714,8732,8733,8738,8739,8740,8741,8742,8760,8761,8762,8773,8786,8789,8800,8805,8807,8809,8810,8811,8818,8824,8832,8835,8852,8853,8862,8863,8871,8890,8903,8907,8928,8950,8951,8954,8955,8961,8971,8972,8995,9006,9016,9017,9018,9021,9044,9045,9056,9108,9118,9120,9136,9148,9149,9150,9161,9227,9258,9259,9260,9275,9292,9300,9328,9329,9400,9433,9439,9449,9450,9451,9461,9490,9506,9510,9514,9537,9538])).
% 202.92/202.85 cnf(11533,plain,
% 202.92/202.85 (~P1(f318(f318(f320(f926(f921(x115331),f921(x115331))),f318(f318(f243(f921(x115331),f921(x115331)),x115332),f104(x115331))),f148(x115331,x115333)))),
% 202.92/202.85 inference(rename_variables,[],[4724])).
% 202.92/202.85 cnf(11540,plain,
% 202.92/202.85 (~P1(f318(f318(f320(f926(f921(x115401),f921(x115401))),f318(f318(f243(f921(x115401),f921(x115401)),f104(x115401)),x115402)),f136(x115401,x115403)))),
% 202.92/202.85 inference(rename_variables,[],[4725])).
% 202.92/202.85 cnf(11545,plain,
% 202.92/202.85 (~P1(f318(f318(f320(f926(f927(x115451,a918),f927(x115451,a918))),f318(f318(f243(f927(x115451,a918),f927(x115451,a918)),x115452),f179(f927(x115451,a918)))),f305(x115451)))),
% 202.92/202.85 inference(scs_inference,[],[3562,3753,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,10870,11183,11376,11379,11398,4667,10716,10816,11286,3313,3363,3479,10556,10559,10652,10655,3456,3971,3353,3416,3349,3376,3359,3983,3575,11133,3449,4144,4675,10547,4704,11312,3622,3414,10617,4286,4146,11332,11463,4722,11235,11476,4723,11365,4724,11482,4725,4726,3434,3877,3812,4026,3586,10636,10755,10836,10909,10912,10952,11052,11302,3964,3502,4699,10524,10527,10553,10676,10854,11060,11075,11193,4710,3951,3722,4094,3546,3547,3521,4696,4669,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,10859,11045,11289,4248,4155,11130,4202,3878,4236,3895,10679,10776,11338,11416,4714,11078,11487,3518,10645,10742,10821,10895,10959,11034,11081,11084,11115,11141,11177,11215,3519,10727,10964,11055,3520,4695,10564,10593,11099,11144,3669,10824,10915,11188,11232,11466,4706,11108,11118,11224,11245,11248,11315,11318,11329,11432,11442,11454,11490,11507,11516,3579,10946,10976,10979,10988,3611,4030,3969,10596,4703,10544,10934,10937,11435,3539,10982,11138,4327,4700,4038,4687,4691,3495,3499,4690,4688,4716,10845,4721,11321,11324,4112,3959,11251,11257,3809,11391,3961,10985,11354,3670,3776,10898,10901,10994,11164,4719,4720,10735,4382,3992,4717,10569,10572,10940,3962,10904,4221,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497,6499,6505,6510,6544,6545,6548,6549,6550,6552,6553,6554,6555,6564,6597,6598,6607,6629,6630,6652,6654,6666,6667,6673,6703,6705,6720,6758,6761,6762,6820,6843,6888,6903,6910,6919,6920,6921,6922,6941,6942,6949,6961,6964,6966,6967,6968,6970,6972,6986,6997,6998,6999,7013,7070,7081,7083,7087,7106,7107,7142,7149,7154,7185,7215,7272,7301,7359,7380,7390,7394,7454,7464,7524,7526,7540,7549,7550,7551,7569,7573,7575,7620,7630,7633,7648,7695,7697,7700,7743,7744,7762,7832,7850,7875,7898,7910,7924,7935,7946,7947,7973,7975,7977,7986,8025,8037,8062,8089,8122,8154,8188,8227,8243,8245,8261,8262,8330,8341,8408,8432,8451,8478,8517,8518,8536,8575,8577,8579,8586,8601,8605,8620,8643,8651,8653,8663,8668,8672,8673,8674,8675,8676,8677,8699,8713,8714,8732,8733,8738,8739,8740,8741,8742,8760,8761,8762,8773,8786,8789,8800,8805,8807,8809,8810,8811,8818,8824,8832,8835,8852,8853,8862,8863,8871,8890,8903,8907,8928,8950,8951,8954,8955,8961,8971,8972,8995,9006,9016,9017,9018,9021,9044,9045,9056,9108,9118,9120,9136,9148,9149,9150,9161,9227,9258,9259,9260,9275,9292,9300,9328,9329,9400,9433,9439,9449,9450,9451,9461,9490,9506,9510,9514,9537,9538,9565,9630,9635,9638,9671,9672,9673])).
% 202.92/202.85 cnf(11548,plain,
% 202.92/202.85 (P1(f318(f318(f320(x115481),x115482),f233(f927(x115481,a918))))),
% 202.92/202.85 inference(rename_variables,[],[3669])).
% 202.92/202.85 cnf(11553,plain,
% 202.92/202.85 (P1(f318(f318(f225(f927(x115531,a918)),f179(f927(x115531,a918))),x115532))),
% 202.92/202.85 inference(rename_variables,[],[3961])).
% 202.92/202.85 cnf(11556,plain,
% 202.92/202.85 (~P1(f318(f318(f320(x115561),x115562),f179(f927(x115561,a918))))),
% 202.92/202.85 inference(rename_variables,[],[4706])).
% 202.92/202.85 cnf(11559,plain,
% 202.92/202.85 (P1(f318(f318(f225(f927(x115591,a918)),x115592),f233(f927(x115591,a918))))),
% 202.92/202.85 inference(rename_variables,[],[3895])).
% 202.92/202.85 cnf(11563,plain,
% 202.92/202.85 (P1(f318(f318(f225(f927(x115631,a918)),f318(f276(x115632,x115631,x115633),f179(f927(x115632,a918)))),x115634))),
% 202.92/202.85 inference(scs_inference,[],[3562,3753,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,10870,11183,11376,11379,11398,4667,10716,10816,11286,3313,3363,3479,10556,10559,10652,10655,3456,3971,3353,3416,3349,3376,3359,3983,3575,11133,3449,4144,4675,10547,4704,11312,3622,3414,10617,4286,4146,11332,11463,4722,11235,11476,4723,11365,4724,11482,4725,4726,3434,3877,3812,4026,3586,10636,10755,10836,10909,10912,10952,11052,11302,3964,3502,4699,10524,10527,10553,10676,10854,11060,11075,11193,4710,3951,3722,4094,3546,3547,3521,4696,4669,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,10859,11045,11289,4248,4155,11130,4202,3878,4236,3895,10679,10776,11338,11416,11495,4714,11078,11487,3518,10645,10742,10821,10895,10959,11034,11081,11084,11115,11141,11177,11215,3519,10727,10964,11055,3520,4695,10564,10593,11099,11144,3669,10824,10915,11188,11232,11466,11469,4706,11108,11118,11224,11245,11248,11315,11318,11329,11432,11442,11454,11490,11507,11516,3579,10946,10976,10979,10988,3611,4030,3969,10596,4703,10544,10934,10937,11435,3539,10982,11138,4327,4700,4038,4687,4691,3495,3499,4690,4688,4716,10845,4721,11321,11324,4112,3959,11251,11257,3809,11391,3961,10985,11354,11519,11553,3670,3776,10898,10901,10994,11164,4719,4720,10735,4382,4290,3992,4717,10569,10572,10940,3962,10904,4221,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497,6499,6505,6510,6544,6545,6548,6549,6550,6552,6553,6554,6555,6564,6597,6598,6607,6629,6630,6652,6654,6666,6667,6673,6703,6705,6720,6758,6761,6762,6820,6843,6888,6903,6910,6919,6920,6921,6922,6941,6942,6949,6961,6964,6966,6967,6968,6970,6972,6986,6997,6998,6999,7013,7070,7081,7083,7087,7106,7107,7142,7149,7154,7185,7215,7272,7301,7359,7380,7390,7394,7454,7464,7524,7526,7540,7549,7550,7551,7569,7573,7575,7620,7630,7633,7648,7695,7697,7700,7743,7744,7762,7832,7850,7875,7898,7910,7924,7935,7946,7947,7973,7975,7977,7986,8025,8037,8062,8089,8122,8154,8188,8227,8243,8245,8261,8262,8330,8341,8408,8432,8451,8478,8517,8518,8536,8575,8577,8579,8586,8601,8605,8620,8643,8651,8653,8663,8668,8672,8673,8674,8675,8676,8677,8699,8713,8714,8732,8733,8738,8739,8740,8741,8742,8760,8761,8762,8773,8786,8789,8800,8805,8807,8809,8810,8811,8818,8824,8832,8835,8852,8853,8862,8863,8871,8890,8903,8907,8928,8950,8951,8954,8955,8961,8971,8972,8995,9006,9016,9017,9018,9021,9044,9045,9056,9108,9118,9120,9136,9148,9149,9150,9161,9227,9258,9259,9260,9275,9292,9300,9328,9329,9400,9433,9439,9449,9450,9451,9461,9490,9506,9510,9514,9537,9538,9565,9630,9635,9638,9671,9672,9673,9697,9698,9714,9735,9741,9753,9778])).
% 202.92/202.85 cnf(11564,plain,
% 202.92/202.85 (P1(f318(f318(f225(f927(x115641,a918)),f179(f927(x115641,a918))),x115642))),
% 202.92/202.85 inference(rename_variables,[],[3961])).
% 202.92/202.85 cnf(11566,plain,
% 202.92/202.85 (~P1(f318(f60(a920,x115661,x115662,x115663,f233(f927(a920,a918))),x115664))),
% 202.92/202.85 inference(scs_inference,[],[3562,3753,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,10870,11183,11376,11379,11398,4667,10716,10816,11286,3313,3363,3479,10556,10559,10652,10655,3456,3971,3353,3416,3349,3376,3359,3983,3575,11133,3449,4144,4675,10547,4704,11312,3622,3414,10617,4286,4146,11332,11463,4722,11235,11476,4723,11365,4724,11482,4725,4726,3434,3877,3812,4026,3586,10636,10755,10836,10909,10912,10952,11052,11302,3964,3502,4699,10524,10527,10553,10676,10854,11060,11075,11193,4710,3951,3722,4094,3546,3547,3521,4696,4669,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,10859,11045,11289,4248,4155,11130,4202,3878,4236,3895,10679,10776,11338,11416,11495,4714,11078,11487,3518,10645,10742,10821,10895,10959,11034,11081,11084,11115,11141,11177,11215,3519,10727,10964,11055,3520,4695,10564,10593,11099,11144,3669,10824,10915,11188,11232,11466,11469,4706,11108,11118,11224,11245,11248,11315,11318,11329,11432,11442,11454,11490,11507,11516,3579,10946,10976,10979,10988,3611,4030,3969,10596,4703,10544,10934,10937,11435,3539,10982,11138,4327,4700,4038,4687,4691,3495,3499,4690,4688,4716,10845,4721,11321,11324,4112,3959,11251,11257,3809,11391,3961,10985,11354,11519,11553,3670,3776,10898,10901,10994,11164,4719,4720,10735,4382,4290,3992,4717,10569,10572,10940,3962,10904,4221,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497,6499,6505,6510,6544,6545,6548,6549,6550,6552,6553,6554,6555,6564,6597,6598,6607,6629,6630,6652,6654,6666,6667,6673,6703,6705,6720,6758,6761,6762,6820,6843,6888,6903,6910,6919,6920,6921,6922,6941,6942,6949,6961,6964,6966,6967,6968,6970,6972,6986,6997,6998,6999,7013,7070,7081,7083,7087,7106,7107,7142,7149,7154,7185,7215,7272,7301,7359,7380,7390,7394,7454,7464,7524,7526,7540,7549,7550,7551,7569,7573,7575,7620,7630,7633,7648,7695,7697,7700,7743,7744,7762,7832,7850,7875,7898,7910,7924,7935,7946,7947,7973,7975,7977,7986,8025,8037,8062,8089,8122,8154,8188,8227,8243,8245,8261,8262,8330,8341,8408,8432,8451,8478,8517,8518,8536,8575,8577,8579,8586,8601,8605,8620,8643,8651,8653,8663,8668,8672,8673,8674,8675,8676,8677,8699,8713,8714,8732,8733,8738,8739,8740,8741,8742,8760,8761,8762,8773,8786,8789,8800,8805,8807,8809,8810,8811,8818,8824,8832,8835,8852,8853,8862,8863,8871,8890,8903,8907,8928,8950,8951,8954,8955,8961,8971,8972,8995,9006,9016,9017,9018,9021,9044,9045,9056,9108,9118,9120,9136,9148,9149,9150,9161,9227,9258,9259,9260,9275,9292,9300,9328,9329,9400,9433,9439,9449,9450,9451,9461,9490,9506,9510,9514,9537,9538,9565,9630,9635,9638,9671,9672,9673,9697,9698,9714,9735,9741,9753,9778,9799])).
% 202.92/202.85 cnf(11577,plain,
% 202.92/202.85 (P1(f318(f233(f927(x115771,a918)),x115772))),
% 202.92/202.85 inference(rename_variables,[],[3579])).
% 202.92/202.85 cnf(11585,plain,
% 202.92/202.85 (~P1(f318(f318(f320(f926(f921(x115851),f921(x115851))),f318(f318(f243(f921(x115851),f921(x115851)),x115852),f104(x115851))),f136(x115851,x115853)))),
% 202.92/202.85 inference(rename_variables,[],[4722])).
% 202.92/202.85 cnf(11588,plain,
% 202.92/202.85 (~P1(f318(f318(f320(f926(f921(x115881),f921(x115881))),f318(f318(f243(f921(x115881),f921(x115881)),x115882),f104(x115881))),f138(x115881,x115883)))),
% 202.92/202.85 inference(rename_variables,[],[4723])).
% 202.92/202.85 cnf(11591,plain,
% 202.92/202.85 (~E(f318(f318(f142(x115911),x115912),x115913),x115913)),
% 202.92/202.85 inference(rename_variables,[],[4675])).
% 202.92/202.85 cnf(11594,plain,
% 202.92/202.85 (~E(f318(a103,x115941),x115941)),
% 202.92/202.85 inference(rename_variables,[],[4661])).
% 202.92/202.85 cnf(11597,plain,
% 202.92/202.85 (~P1(f318(f318(f320(x115971),x115972),f179(f927(x115971,a918))))),
% 202.92/202.85 inference(rename_variables,[],[4706])).
% 202.92/202.85 cnf(11602,plain,
% 202.92/202.85 (~P1(f318(f318(f320(x116021),x116022),f179(f927(x116021,a918))))),
% 202.92/202.85 inference(rename_variables,[],[4706])).
% 202.92/202.85 cnf(11605,plain,
% 202.92/202.85 (~P1(f318(f318(f320(x116051),x116052),f179(f927(x116051,a918))))),
% 202.92/202.85 inference(rename_variables,[],[4706])).
% 202.92/202.85 cnf(11608,plain,
% 202.92/202.85 (P1(f318(f318(f320(f926(f921(x116081),f921(x116081))),f318(f318(f243(f921(x116081),f921(x116081)),x116082),x116082)),f149(x116081,f298(x116081,x116083))))),
% 202.92/202.85 inference(rename_variables,[],[4279])).
% 202.92/202.85 cnf(11611,plain,
% 202.92/202.85 (~P1(f318(f318(f320(f926(f921(x116111),f921(x116111))),f318(f318(f243(f921(x116111),f921(x116111)),x116112),f104(x116111))),f136(x116111,x116113)))),
% 202.92/202.85 inference(rename_variables,[],[4722])).
% 202.92/202.85 cnf(11621,plain,
% 202.92/202.85 (~P1(f318(f318(f320(f926(x116211,x116211)),f318(f318(f243(x116211,x116211),x116212),x116213)),f144(x116211,f104(f927(x116211,a920)))))),
% 202.92/202.85 inference(rename_variables,[],[4721])).
% 202.92/202.85 cnf(11624,plain,
% 202.92/202.85 (~P1(f318(f318(f320(x116241),x116242),f179(f927(x116241,a918))))),
% 202.92/202.85 inference(rename_variables,[],[4706])).
% 202.92/202.85 cnf(11627,plain,
% 202.92/202.85 (~P1(f318(f318(f320(x116271),x116272),f179(f927(x116271,a918))))),
% 202.92/202.85 inference(rename_variables,[],[4706])).
% 202.92/202.85 cnf(11630,plain,
% 202.92/202.85 (P1(f318(f318(f320(x116301),x116302),f233(f927(x116301,a918))))),
% 202.92/202.85 inference(rename_variables,[],[3669])).
% 202.92/202.85 cnf(11633,plain,
% 202.92/202.85 (~P1(f318(f318(f226(a920),x116331),f2(a920)))),
% 202.92/202.85 inference(rename_variables,[],[4699])).
% 202.92/202.85 cnf(11638,plain,
% 202.92/202.85 (~P1(f318(f318(f320(f926(x116381,x116381)),f318(f318(f243(x116381,x116381),x116382),x116383)),f144(x116381,f104(f927(x116381,a920)))))),
% 202.92/202.85 inference(rename_variables,[],[4721])).
% 202.92/202.85 cnf(11647,plain,
% 202.92/202.85 (~E(f318(f301(x116471,f927(x116471,a918),x116472),x116473),f318(f299(x116471),x116473))),
% 202.92/202.85 inference(rename_variables,[],[4704])).
% 202.92/202.85 cnf(11650,plain,
% 202.92/202.85 (~E(f318(f301(x116501,f927(x116501,a918),x116502),x116503),f318(f299(x116501),x116503))),
% 202.92/202.85 inference(rename_variables,[],[4704])).
% 202.92/202.85 cnf(11652,plain,
% 202.92/202.85 (E(f318(f318(f243(a920,a920),f652(f298(a920,a308),a308,a920,f318(f318(f243(a920,a920),x116521),f318(a103,x116521)),a920,a920)),f653(f298(a920,a308),a308,a920,f318(f318(f243(a920,a920),x116521),f318(a103,x116521)),a920,a920)),f318(f318(f243(a920,a920),x116521),f318(a103,x116521)))),
% 202.92/202.85 inference(scs_inference,[],[3562,3753,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,10870,11183,11376,11379,11398,11401,4667,10716,10816,11286,3313,3363,3479,10556,10559,10652,10655,3456,3971,3353,3416,3349,3376,3359,3983,3575,11133,3449,4144,4675,10547,10713,4704,11312,11411,11647,3622,3414,10617,4286,4146,11332,11463,4722,11235,11476,11585,4723,11365,11479,4724,11482,4725,11540,4726,3434,3877,3812,4026,3586,10636,10755,10836,10909,10912,10952,11052,11302,3964,3502,4699,10524,10527,10553,10676,10854,11060,11075,11193,4710,3951,3722,4094,3546,3547,3521,4696,4669,4279,11608,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,10859,11045,11289,4248,4155,11130,4202,3878,4236,3895,10679,10776,11338,11416,11495,4714,11078,11487,3518,10645,10742,10821,10895,10959,11034,11081,11084,11115,11141,11177,11215,3519,10727,10964,11055,3520,4695,10564,10593,11099,11144,3669,10824,10915,11188,11232,11466,11469,11548,4706,11108,11118,11224,11245,11248,11315,11318,11329,11432,11442,11454,11490,11507,11516,11556,11597,11602,11605,11624,3579,10946,10976,10979,10988,10991,3611,4030,3969,10596,4703,10544,10934,10937,11435,3539,10982,11138,4327,4700,4038,4687,4691,3495,3499,4690,4688,4716,10845,4721,11321,11324,11510,11621,4112,3959,11251,11257,3809,11391,3961,10985,11354,11519,11553,3670,3776,10898,10901,10994,11164,4719,4720,10735,4382,4290,3992,4717,10569,10572,10940,3962,10904,4221,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497,6499,6505,6510,6544,6545,6548,6549,6550,6552,6553,6554,6555,6564,6597,6598,6607,6629,6630,6652,6654,6666,6667,6673,6703,6705,6720,6758,6761,6762,6820,6843,6888,6903,6910,6919,6920,6921,6922,6941,6942,6949,6961,6964,6966,6967,6968,6970,6972,6986,6997,6998,6999,7013,7070,7081,7083,7087,7106,7107,7142,7149,7154,7185,7215,7272,7301,7359,7380,7390,7394,7454,7464,7524,7526,7540,7549,7550,7551,7569,7573,7575,7620,7630,7633,7648,7695,7697,7700,7743,7744,7762,7832,7850,7875,7898,7910,7924,7935,7946,7947,7973,7975,7977,7986,8025,8037,8062,8089,8122,8154,8188,8227,8243,8245,8261,8262,8330,8341,8408,8432,8451,8478,8517,8518,8536,8575,8577,8579,8586,8601,8605,8620,8643,8651,8653,8663,8668,8672,8673,8674,8675,8676,8677,8699,8713,8714,8732,8733,8738,8739,8740,8741,8742,8760,8761,8762,8773,8786,8789,8800,8805,8807,8809,8810,8811,8818,8824,8832,8835,8852,8853,8862,8863,8871,8890,8903,8907,8928,8950,8951,8954,8955,8961,8971,8972,8995,9006,9016,9017,9018,9021,9044,9045,9056,9108,9118,9120,9136,9148,9149,9150,9161,9227,9258,9259,9260,9275,9292,9300,9328,9329,9400,9433,9439,9449,9450,9451,9461,9490,9506,9510,9514,9537,9538,9565,9630,9635,9638,9671,9672,9673,9697,9698,9714,9735,9741,9753,9778,9799,9808,9809,9810,9811,9827,9829,9834,9864,9865,9871,9872,9918,9919,9930,9931,9955,9974,9976,9977,9986,9991,10000,10025,10059,10061,10065,10115,10149,10159,10161,10165,10166,10168])).
% 202.92/202.85 cnf(11655,plain,
% 202.92/202.85 (~P1(f318(f318(f320(f926(f921(x116551),f921(x116551))),f318(f318(f243(f921(x116551),f921(x116551)),x116552),f104(x116551))),f136(x116551,x116553)))),
% 202.92/202.85 inference(rename_variables,[],[4722])).
% 202.92/202.85 cnf(11661,plain,
% 202.92/202.85 (~P1(f318(f318(f320(f926(f921(x116611),f921(x116611))),f318(f318(f243(f921(x116611),f921(x116611)),x116612),f104(x116611))),f136(x116611,x116613)))),
% 202.92/202.85 inference(rename_variables,[],[4722])).
% 202.92/202.85 cnf(11664,plain,
% 202.92/202.85 (~P1(f318(f318(f320(x116641),x116642),f179(f927(x116641,a918))))),
% 202.92/202.85 inference(rename_variables,[],[4706])).
% 202.92/202.85 cnf(11666,plain,
% 202.92/202.85 (P1(f318(f318(f320(f926(x116661,x116662)),f318(f318(f243(x116661,x116662),f318(x116663,x116664)),f318(x116665,x116664))),f318(f301(f926(x116666,x116666),f926(x116661,x116662),f249(x116666,x116661,x116666,x116662,x116663,x116665)),f298(x116666,x116667))))),
% 202.92/202.85 inference(scs_inference,[],[3562,3753,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,10870,11183,11376,11379,11398,11401,4667,10716,10816,11286,3313,3363,3479,10556,10559,10652,10655,3456,3971,3353,3416,3349,3376,3359,3983,3575,11133,3449,4144,4675,10547,10713,4704,11312,11411,11647,3622,3414,10617,4286,4146,11332,11463,11522,4722,11235,11476,11585,11611,11655,4723,11365,11479,11588,4724,11482,4725,11540,4726,3434,3877,3812,4026,3586,10636,10755,10836,10909,10912,10952,11052,11302,3964,3502,4699,10524,10527,10553,10676,10854,11060,11075,11193,4710,3951,3722,4094,3546,3547,3521,4696,4669,4279,11608,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,10859,11045,11289,4248,4155,11130,4202,3878,4236,3895,10679,10776,11338,11416,11495,4714,11078,11487,3518,10645,10742,10821,10895,10959,11034,11081,11084,11115,11141,11177,11215,3519,10727,10964,11055,3520,4695,10564,10593,11099,11144,3669,10824,10915,11188,11232,11466,11469,11548,4706,11108,11118,11224,11245,11248,11315,11318,11329,11432,11442,11454,11490,11507,11516,11556,11597,11602,11605,11624,11627,3579,10946,10976,10979,10988,10991,3611,4030,3969,10596,4703,10544,10934,10937,11435,3539,10982,11138,4327,4700,4038,4687,4691,3495,3499,4690,4688,4716,10845,4721,11321,11324,11510,11621,4112,3959,11251,11257,3809,11391,3961,10985,11354,11519,11553,3670,3776,10898,10901,10994,11164,4719,4720,10735,4382,4290,3992,4717,10569,10572,10940,3962,10904,4221,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497,6499,6505,6510,6544,6545,6548,6549,6550,6552,6553,6554,6555,6564,6597,6598,6607,6629,6630,6652,6654,6666,6667,6673,6703,6705,6720,6758,6761,6762,6820,6843,6888,6903,6910,6919,6920,6921,6922,6941,6942,6949,6961,6964,6966,6967,6968,6970,6972,6986,6997,6998,6999,7013,7070,7081,7083,7087,7106,7107,7142,7149,7154,7185,7215,7272,7301,7359,7380,7390,7394,7454,7464,7524,7526,7540,7549,7550,7551,7569,7573,7575,7620,7630,7633,7648,7695,7697,7700,7743,7744,7762,7832,7850,7875,7898,7910,7924,7935,7946,7947,7973,7975,7977,7986,8025,8037,8062,8089,8122,8154,8188,8227,8243,8245,8261,8262,8330,8341,8408,8432,8451,8478,8517,8518,8536,8575,8577,8579,8586,8601,8605,8620,8643,8651,8653,8663,8668,8672,8673,8674,8675,8676,8677,8699,8713,8714,8732,8733,8738,8739,8740,8741,8742,8760,8761,8762,8773,8786,8789,8800,8805,8807,8809,8810,8811,8818,8824,8832,8835,8852,8853,8862,8863,8871,8890,8903,8907,8928,8950,8951,8954,8955,8961,8971,8972,8995,9006,9016,9017,9018,9021,9044,9045,9056,9108,9118,9120,9136,9148,9149,9150,9161,9227,9258,9259,9260,9275,9292,9300,9328,9329,9400,9433,9439,9449,9450,9451,9461,9490,9506,9510,9514,9537,9538,9565,9630,9635,9638,9671,9672,9673,9697,9698,9714,9735,9741,9753,9778,9799,9808,9809,9810,9811,9827,9829,9834,9864,9865,9871,9872,9918,9919,9930,9931,9955,9974,9976,9977,9986,9991,10000,10025,10059,10061,10065,10115,10149,10159,10161,10165,10166,10168,10177,10178,10198,10203,10297])).
% 202.92/202.85 cnf(11669,plain,
% 202.92/202.85 (~P1(f318(f318(f320(x116691),x116692),f179(f927(x116691,a918))))),
% 202.92/202.85 inference(rename_variables,[],[4706])).
% 202.92/202.85 cnf(11672,plain,
% 202.92/202.85 (~P1(f318(f318(f320(x116721),x116722),f179(f927(x116721,a918))))),
% 202.92/202.85 inference(rename_variables,[],[4706])).
% 202.92/202.85 cnf(11675,plain,
% 202.92/202.85 (~P1(f318(f318(f320(x116751),x116752),f179(f927(x116751,a918))))),
% 202.92/202.85 inference(rename_variables,[],[4706])).
% 202.92/202.85 cnf(11678,plain,
% 202.92/202.85 (~P1(f318(f318(f320(x116781),x116782),f179(f927(x116781,a918))))),
% 202.92/202.85 inference(rename_variables,[],[4706])).
% 202.92/202.85 cnf(11681,plain,
% 202.92/202.85 (P1(f318(f318(f320(x116811),f318(x116812,x116813)),f318(f301(x116814,x116811,x116812),f233(f927(x116814,a918)))))),
% 202.92/202.85 inference(rename_variables,[],[4112])).
% 202.92/202.85 cnf(11684,plain,
% 202.92/202.85 (~P1(f318(f318(f320(f926(x116841,x116841)),f318(f318(f243(x116841,x116841),x116842),x116843)),f144(x116841,f104(f927(x116841,a920)))))),
% 202.92/202.85 inference(rename_variables,[],[4721])).
% 202.92/202.85 cnf(11692,plain,
% 202.92/202.85 (E(f105(x116921,f104(x116921)),f104(x116921))),
% 202.92/202.85 inference(rename_variables,[],[3363])).
% 202.92/202.85 cnf(11695,plain,
% 202.92/202.85 (~E(f318(a103,x116951),x116951)),
% 202.92/202.85 inference(rename_variables,[],[4661])).
% 202.92/202.85 cnf(11702,plain,
% 202.92/202.85 (~E(f318(a103,x117021),x117021)),
% 202.92/202.85 inference(rename_variables,[],[4661])).
% 202.92/202.85 cnf(11707,plain,
% 202.92/202.85 (E(f318(f275(x117071,x117071),f254(x117071,x117072)),x117072)),
% 202.92/202.85 inference(rename_variables,[],[3479])).
% 202.92/202.85 cnf(11710,plain,
% 202.92/202.85 (E(f318(f275(x117101,x117101),f254(x117101,x117102)),x117102)),
% 202.92/202.85 inference(rename_variables,[],[3479])).
% 202.92/202.85 cnf(11716,plain,
% 202.92/202.85 (~E(f318(a103,x117161),x117161)),
% 202.92/202.85 inference(rename_variables,[],[4661])).
% 202.92/202.85 cnf(11721,plain,
% 202.92/202.85 (~E(f318(f318(f73(a1),x117211),x117211),a88)),
% 202.92/202.85 inference(rename_variables,[],[4672])).
% 202.92/202.85 cnf(11728,plain,
% 202.92/202.85 (E(f318(f318(f3(a920),f2(a920)),x117281),f2(a920))),
% 202.92/202.85 inference(rename_variables,[],[3435])).
% 202.92/202.85 cnf(11731,plain,
% 202.92/202.85 (~P1(f318(f318(f226(a920),x117311),f2(a920)))),
% 202.92/202.85 inference(rename_variables,[],[4699])).
% 202.92/202.85 cnf(11738,plain,
% 202.92/202.85 (E(f318(f318(f73(a1),f318(f318(f74(a1),x117381),f318(f318(f30(a1),x117382),x117381))),f39(a1,x117382,x117381)),x117382)),
% 202.92/202.85 inference(rename_variables,[],[4062])).
% 202.92/202.85 cnf(11762,plain,
% 202.92/202.85 (~E(f318(a103,x117621),x117621)),
% 202.92/202.85 inference(rename_variables,[],[4661])).
% 202.92/202.85 cnf(11765,plain,
% 202.92/202.85 (~E(f318(a103,x117651),x117651)),
% 202.92/202.85 inference(rename_variables,[],[4661])).
% 202.92/202.85 cnf(11787,plain,
% 202.92/202.85 (~E(f318(a103,x117871),x117871)),
% 202.92/202.85 inference(rename_variables,[],[4661])).
% 202.92/202.85 cnf(11790,plain,
% 202.92/202.85 (~E(f318(f318(f142(x117901),x117902),x117903),x117903)),
% 202.92/202.85 inference(rename_variables,[],[4675])).
% 202.92/202.85 cnf(11797,plain,
% 202.92/202.85 (~P1(f318(f318(f163(x117971),f104(x117971)),x117972))),
% 202.92/202.85 inference(rename_variables,[],[4702])).
% 202.92/202.85 cnf(11803,plain,
% 202.92/202.85 (P1(f318(f318(f226(a920),f2(a920)),f318(a103,x118031)))),
% 202.92/202.85 inference(rename_variables,[],[3598])).
% 202.92/202.85 cnf(11804,plain,
% 202.92/202.85 (~E(f318(a103,x118041),x118041)),
% 202.92/202.85 inference(rename_variables,[],[4661])).
% 202.92/202.85 cnf(11807,plain,
% 202.92/202.85 (P1(f318(f318(f320(x118071),x118072),f233(f927(x118071,a918))))),
% 202.92/202.85 inference(rename_variables,[],[3669])).
% 202.92/202.85 cnf(11819,plain,
% 202.92/202.85 (~E(f318(a103,x118191),x118191)),
% 202.92/202.85 inference(rename_variables,[],[4661])).
% 202.92/202.85 cnf(11822,plain,
% 202.92/202.85 (P1(f318(f318(f225(a1),x118221),x118221))),
% 202.92/202.85 inference(rename_variables,[],[3519])).
% 202.92/202.85 cnf(11829,plain,
% 202.92/202.85 (P1(f318(f60(x118291,x118292,x118293,x118294,f179(f927(x118291,a918))),x118294))),
% 202.92/202.85 inference(rename_variables,[],[4421])).
% 202.92/202.85 cnf(11830,plain,
% 202.92/202.85 (E(f318(f275(x118301,x118301),f254(x118301,x118302)),x118302)),
% 202.92/202.85 inference(rename_variables,[],[3479])).
% 202.92/202.85 cnf(11843,plain,
% 202.92/202.85 (~P1(f318(f318(f226(a920),f318(f318(f73(a920),x118431),x118432)),x118432))),
% 202.92/202.85 inference(rename_variables,[],[4717])).
% 202.92/202.85 cnf(11846,plain,
% 202.92/202.85 (~P1(f318(f318(f226(a1),f318(f91(a1),x118461)),f2(a1)))),
% 202.92/202.85 inference(rename_variables,[],[4710])).
% 202.92/202.85 cnf(11860,plain,
% 202.92/202.85 (~E(f318(f318(f92(a920),f318(a103,x118601)),x118601),f318(a103,x118601))),
% 202.92/202.85 inference(scs_inference,[],[3562,3753,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,10870,11183,11376,11379,11398,11401,11594,11695,11702,11716,11762,11765,11787,11804,3439,4667,10716,10816,11286,3128,3134,3138,3139,3141,3145,3146,3150,3156,3166,3175,3176,3219,3237,3243,3244,3257,3270,3283,3299,3410,3313,4659,3363,11692,3479,10556,10559,10652,10655,10973,11707,11710,3456,3971,3353,4062,11738,3416,3349,3376,3359,3983,3575,11133,3449,4144,4675,10547,10713,11591,4704,11312,11411,11647,11650,3622,3413,3414,10617,10949,3331,3435,11728,4286,4146,11332,11463,11522,4722,11235,11476,11585,11611,11655,11661,4723,11365,11479,11588,4724,11482,4725,11540,4726,3434,3877,4672,3812,4026,3586,10636,10755,10836,10909,10912,10952,11052,11302,3964,3502,3598,4699,10524,10527,10553,10676,10854,11060,11075,11193,11633,11731,4710,3951,3722,4094,3546,3547,3521,4696,4669,3706,4711,4279,11608,3835,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,10859,11045,11289,11502,4248,4155,11130,4202,3878,4236,3895,10679,10776,11338,11416,11495,4714,11078,11487,3518,10645,10742,10821,10895,10959,11034,11081,11084,11115,11141,11177,11215,3519,10727,10964,11055,11180,3520,4695,10564,10593,11099,11144,3669,10824,10915,11188,11232,11466,11469,11548,11630,4706,11108,11118,11224,11245,11248,11315,11318,11329,11432,11442,11454,11490,11507,11516,11556,11597,11602,11605,11624,11627,11664,11669,11672,11675,3579,10946,10976,10979,10988,10991,3611,4030,3969,10596,4703,10544,10934,10937,11435,11451,3539,10982,11138,4327,4700,4038,4687,4691,3495,3499,4690,4688,4421,4716,10845,10848,4721,11321,11324,11510,11621,11638,4112,3959,11251,11257,3809,11391,3961,10985,11354,11519,11553,3670,3776,10898,10901,10994,11164,4719,4720,10735,4382,4290,3992,4717,10569,10572,10940,10943,3962,10904,4221,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497,6499,6505,6510,6544,6545,6548,6549,6550,6552,6553,6554,6555,6564,6597,6598,6607,6629,6630,6652,6654,6666,6667,6673,6703,6705,6720,6758,6761,6762,6820,6843,6888,6903,6910,6919,6920,6921,6922,6941,6942,6949,6961,6964,6966,6967,6968,6970,6972,6986,6997,6998,6999,7013,7070,7081,7083,7087,7106,7107,7142,7149,7154,7185,7215,7272,7301,7359,7380,7390,7394,7454,7464,7524,7526,7540,7549,7550,7551,7569,7573,7575,7620,7630,7633,7648,7695,7697,7700,7743,7744,7762,7832,7850,7875,7898,7910,7924,7935,7946,7947,7973,7975,7977,7986,8025,8037,8062,8089,8122,8154,8188,8227,8243,8245,8261,8262,8330,8341,8408,8432,8451,8478,8517,8518,8536,8575,8577,8579,8586,8601,8605,8620,8643,8651,8653,8663,8668,8672,8673,8674,8675,8676,8677,8699,8713,8714,8732,8733,8738,8739,8740,8741,8742,8760,8761,8762,8773,8786,8789,8800,8805,8807,8809,8810,8811,8818,8824,8832,8835,8852,8853,8862,8863,8871,8890,8903,8907,8928,8950,8951,8954,8955,8961,8971,8972,8995,9006,9016,9017,9018,9021,9044,9045,9056,9108,9118,9120,9136,9148,9149,9150,9161,9227,9258,9259,9260,9275,9292,9300,9328,9329,9400,9433,9439,9449,9450,9451,9461,9490,9506,9510,9514,9537,9538,9565,9630,9635,9638,9671,9672,9673,9697,9698,9714,9735,9741,9753,9778,9799,9808,9809,9810,9811,9827,9829,9834,9864,9865,9871,9872,9918,9919,9930,9931,9955,9974,9976,9977,9986,9991,10000,10025,10059,10061,10065,10115,10149,10159,10161,10165,10166,10168,10177,10178,10198,10203,10297,10384,10385,10386,10387,10449,10468,2,8,9,4746,4747,4765,4807,4808,4810,4833,4835,4836,4846,4891,4893,4941,5071,5072,5086,5110,5165,5166,5172,5173,5175,5177,5186,5189,5190,5198,5211,5212,5218,5239,5240,5261,5266,5267,5268,5269,5273,5281,5284,5292,5293,5294,5350,5355,5356,5361,5367,5397,5407,5412,5422,5440,5441,5448,5449,5451,5462,5480,5482,5483,5490,5497,5498,5510,5511,5512,5513,5515,5516,5521])).
% 202.92/202.85 cnf(11869,plain,
% 202.92/202.85 (E(f318(f275(x118691,x118691),f254(x118691,x118692)),x118692)),
% 202.92/202.85 inference(rename_variables,[],[3479])).
% 202.92/202.85 cnf(11874,plain,
% 202.92/202.85 (E(f318(f275(x118741,x118741),f254(x118741,x118742)),x118742)),
% 202.92/202.85 inference(rename_variables,[],[3479])).
% 202.92/202.85 cnf(11877,plain,
% 202.92/202.85 (~P1(f318(f318(f226(a1),f318(f91(a1),x118771)),f2(a1)))),
% 202.92/202.85 inference(rename_variables,[],[4710])).
% 202.92/202.85 cnf(11882,plain,
% 202.92/202.85 (~E(f318(a103,x118821),x118821)),
% 202.92/202.85 inference(rename_variables,[],[4661])).
% 202.92/202.85 cnf(11891,plain,
% 202.92/202.85 (~P1(f318(f318(f163(x118911),f104(x118911)),x118912))),
% 202.92/202.85 inference(rename_variables,[],[4702])).
% 202.92/202.85 cnf(11912,plain,
% 202.92/202.85 (~P1(f318(f318(f226(a1),f318(f91(a1),x119121)),f2(a1)))),
% 202.92/202.85 inference(rename_variables,[],[4710])).
% 202.92/202.85 cnf(11915,plain,
% 202.92/202.85 (~P1(f318(f318(f226(a920),x119151),f2(a920)))),
% 202.92/202.85 inference(rename_variables,[],[4699])).
% 202.92/202.85 cnf(11916,plain,
% 202.92/202.85 (P1(f318(f318(f226(a920),x119161),f318(a103,x119161)))),
% 202.92/202.85 inference(rename_variables,[],[3586])).
% 202.92/202.85 cnf(11919,plain,
% 202.92/202.85 (~P1(f318(f318(f226(a1),f318(f91(a1),x119191)),f2(a1)))),
% 202.92/202.85 inference(rename_variables,[],[4710])).
% 202.92/202.85 cnf(11922,plain,
% 202.92/202.85 (~P1(f318(f318(f320(x119221),x119222),f179(f927(x119221,a918))))),
% 202.92/202.85 inference(rename_variables,[],[4706])).
% 202.92/202.85 cnf(11923,plain,
% 202.92/202.85 (P1(f318(f318(f320(f927(x119231,a918)),x119232),f318(f299(x119231),x119232)))),
% 202.92/202.85 inference(rename_variables,[],[3878])).
% 202.92/202.85 cnf(11938,plain,
% 202.92/202.85 (~P1(f318(f318(f225(a920),f318(a103,x119381)),x119381))),
% 202.92/202.85 inference(rename_variables,[],[4703])).
% 202.92/202.85 cnf(11939,plain,
% 202.92/202.85 (~E(f318(a103,x119391),x119391)),
% 202.92/202.85 inference(rename_variables,[],[4661])).
% 202.92/202.85 cnf(11949,plain,
% 202.92/202.85 (~P1(f318(f318(f226(a920),f318(f318(f73(a920),x119491),x119492)),x119491))),
% 202.92/202.85 inference(rename_variables,[],[4718])).
% 202.92/202.85 cnf(11952,plain,
% 202.92/202.85 (~P1(f318(f318(f226(a1),f318(f91(a1),x119521)),f2(a1)))),
% 202.92/202.85 inference(rename_variables,[],[4710])).
% 202.92/202.85 cnf(11955,plain,
% 202.92/202.85 (~E(f318(a103,x119551),x119551)),
% 202.92/202.85 inference(rename_variables,[],[4661])).
% 202.92/202.85 cnf(11968,plain,
% 202.92/202.85 (P1(f318(f318(f320(x119681),x119682),f318(f318(f300(x119681),x119682),x119683)))),
% 202.92/202.85 inference(rename_variables,[],[3825])).
% 202.92/202.85 cnf(11969,plain,
% 202.92/202.85 (~P1(f318(f318(f225(a1),f2(a1)),f318(f72(a1),f318(f91(a1),f318(a103,x119691)))))),
% 202.92/202.85 inference(rename_variables,[],[4719])).
% 202.92/202.85 cnf(11972,plain,
% 202.92/202.85 (P1(f318(f318(f226(a920),f318(f318(f3(a920),x119721),x119722)),f318(a103,x119721)))),
% 202.92/202.85 inference(rename_variables,[],[3964])).
% 202.92/202.85 cnf(11975,plain,
% 202.92/202.85 (P1(f318(f318(f225(a920),f39(a920,x119751,x119752)),x119751))),
% 202.92/202.85 inference(rename_variables,[],[3969])).
% 202.92/202.85 cnf(11981,plain,
% 202.92/202.85 (E(f318(f275(x119811,x119811),f254(x119811,x119812)),x119812)),
% 202.92/202.85 inference(rename_variables,[],[3479])).
% 202.92/202.85 cnf(11986,plain,
% 202.92/202.85 (E(f318(f318(f125(x119861),f160(x119861,x119862,x119863)),f160(x119861,x119864,x119863)),f318(f318(f125(x119861),f160(x119861,x119864,x119863)),f160(x119861,x119862,x119863)))),
% 202.92/202.85 inference(rename_variables,[],[4076])).
% 202.92/202.85 cnf(11991,plain,
% 202.92/202.85 (~P1(f318(f318(f225(a920),f318(a103,x119911)),x119911))),
% 202.92/202.85 inference(rename_variables,[],[4703])).
% 202.92/202.85 cnf(12000,plain,
% 202.92/202.85 (~P1(f318(f318(f226(a920),x120001),x120001))),
% 202.92/202.85 inference(rename_variables,[],[4695])).
% 202.92/202.85 cnf(12003,plain,
% 202.92/202.85 (P1(f318(f318(f225(a920),f39(a920,x120031,x120032)),x120031))),
% 202.92/202.85 inference(rename_variables,[],[3969])).
% 202.92/202.85 cnf(12004,plain,
% 202.92/202.85 (P1(f318(f318(f225(a920),f2(a920)),x120041))),
% 202.92/202.85 inference(rename_variables,[],[3539])).
% 202.92/202.85 cnf(12006,plain,
% 202.92/202.85 (~P1(f318(f318(f225(a1),f71(a1)),f2(a1)))),
% 202.92/202.85 inference(scs_inference,[],[3562,3753,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,10870,11183,11376,11379,11398,11401,11594,11695,11702,11716,11762,11765,11787,11804,11819,11882,11939,3439,4667,10716,10816,11286,3127,3128,3134,3135,3138,3139,3141,3145,3146,3150,3151,3153,3154,3156,3166,3175,3176,3219,3237,3243,3244,3257,3270,3277,3283,3299,3410,3313,4659,4076,11986,3363,11692,3479,10556,10559,10652,10655,10973,11707,11710,11830,11869,11874,3456,3971,3353,3715,4062,11738,3416,3349,3376,3372,3359,3983,3575,11133,3449,4144,4675,10547,10713,11591,4704,11312,11411,11647,11650,3622,3413,3414,10617,10949,3674,3331,3435,11728,4286,4146,11332,11463,11522,4722,11235,11476,11585,11611,11655,11661,4723,11365,11479,11588,4724,11482,4725,11540,4726,3434,3877,4557,4558,4672,3812,4026,3586,10636,10755,10836,10909,10912,10952,11052,11302,11916,3964,3502,3598,4699,10524,10527,10553,10676,10854,11060,11075,11193,11633,11731,4710,11846,11877,11912,11919,3951,3722,4094,3546,3547,3521,4696,4669,3706,4711,4279,11608,3835,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,10859,11045,11289,11502,11797,4248,4155,11130,4202,3878,4236,3895,10679,10776,11338,11416,11495,4714,11078,11487,3518,10645,10742,10821,10895,10959,11034,11081,11084,11115,11141,11177,11215,3519,10727,10964,11055,11180,3520,4695,10564,10593,11099,11144,11153,3669,10824,10915,11188,11232,11466,11469,11548,11630,4706,11108,11118,11224,11245,11248,11315,11318,11329,11432,11442,11454,11490,11507,11516,11556,11597,11602,11605,11624,11627,11664,11669,11672,11675,11678,3579,10946,10976,10979,10988,10991,3618,3611,4030,3969,10596,11975,4703,10544,10934,10937,11435,11451,11938,3539,10982,11138,11208,4327,4700,4038,4687,4691,3495,3499,4690,4688,3825,4421,4716,10845,10848,4721,11321,11324,11510,11621,11638,4112,3959,11251,11257,3809,11391,3961,10985,11354,11519,11553,3670,3776,10898,10901,10994,11164,4719,4720,10735,4382,4290,3992,4717,10569,10572,10940,10943,4718,3962,10904,4221,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497,6499,6505,6510,6544,6545,6548,6549,6550,6552,6553,6554,6555,6564,6597,6598,6607,6629,6630,6652,6654,6666,6667,6673,6703,6705,6720,6758,6761,6762,6820,6843,6888,6903,6910,6919,6920,6921,6922,6941,6942,6949,6961,6964,6966,6967,6968,6970,6972,6986,6997,6998,6999,7013,7070,7081,7083,7087,7106,7107,7142,7149,7154,7185,7215,7272,7301,7359,7380,7390,7394,7454,7464,7524,7526,7540,7549,7550,7551,7569,7573,7575,7620,7630,7633,7648,7695,7697,7700,7743,7744,7762,7832,7850,7875,7898,7910,7924,7935,7946,7947,7973,7975,7977,7986,8025,8037,8062,8089,8122,8154,8188,8227,8243,8245,8261,8262,8330,8341,8408,8432,8451,8478,8517,8518,8536,8575,8577,8579,8586,8601,8605,8620,8643,8651,8653,8663,8668,8672,8673,8674,8675,8676,8677,8699,8713,8714,8732,8733,8738,8739,8740,8741,8742,8760,8761,8762,8773,8786,8789,8800,8805,8807,8809,8810,8811,8818,8824,8832,8835,8852,8853,8862,8863,8871,8890,8903,8907,8928,8950,8951,8954,8955,8961,8971,8972,8995,9006,9016,9017,9018,9021,9044,9045,9056,9108,9118,9120,9136,9148,9149,9150,9161,9227,9258,9259,9260,9275,9292,9300,9328,9329,9400,9433,9439,9449,9450,9451,9461,9490,9506,9510,9514,9537,9538,9565,9630,9635,9638,9671,9672,9673,9697,9698,9714,9735,9741,9753,9778,9799,9808,9809,9810,9811,9827,9829,9834,9864,9865,9871,9872,9918,9919,9930,9931,9955,9974,9976,9977,9986,9991,10000,10025,10059,10061,10065,10115,10149,10159,10161,10165,10166,10168,10177,10178,10198,10203,10297,10384,10385,10386,10387,10449,10468,2,8,9,4746,4747,4765,4807,4808,4810,4833,4835,4836,4846,4891,4893,4941,5071,5072,5086,5110,5165,5166,5172,5173,5175,5177,5186,5189,5190,5198,5211,5212,5218,5239,5240,5261,5266,5267,5268,5269,5273,5281,5284,5292,5293,5294,5350,5355,5356,5361,5367,5397,5407,5412,5422,5440,5441,5448,5449,5451,5462,5480,5482,5483,5490,5497,5498,5510,5511,5512,5513,5515,5516,5521,5522,5523,5524,5554,5555,5556,5564,5565,5566,5567,5610,5615,5617,5653,5655,5656,5658,5659,5661,5662,5664,5673,5678,5679,5680,5682,5684,5685,5686,5687,5688,5689,5698,5708,5711,5722,5738,5739,5742,5753,5756,5757,5758,5785,5795,5811,5812,5821,5822,5824,5826,5831,5866,5871,5873,5932,5967,5968])).
% 202.92/202.85 cnf(12021,plain,
% 202.92/202.85 (~P1(f318(f318(f226(a920),x120211),x120211))),
% 202.92/202.85 inference(rename_variables,[],[4695])).
% 202.92/202.85 cnf(12024,plain,
% 202.92/202.85 (P1(f318(f318(f320(x120241),f318(x120242,x120243)),f318(f301(x120244,x120241,x120242),f233(f927(x120244,a918)))))),
% 202.92/202.85 inference(rename_variables,[],[4112])).
% 202.92/202.85 cnf(12025,plain,
% 202.92/202.85 (~P1(f318(f318(f225(a920),f318(a103,x120251)),x120251))),
% 202.92/202.85 inference(rename_variables,[],[4703])).
% 202.92/202.85 cnf(12028,plain,
% 202.92/202.85 (P1(f318(f318(f320(x120281),f318(x120282,x120283)),f318(f301(x120284,x120281,x120282),f233(f927(x120284,a918)))))),
% 202.92/202.85 inference(rename_variables,[],[4112])).
% 202.92/202.85 cnf(12029,plain,
% 202.92/202.85 (~P1(f318(f318(f226(a920),f318(f318(f73(a920),x120291),x120292)),x120292))),
% 202.92/202.85 inference(rename_variables,[],[4717])).
% 202.92/202.85 cnf(12034,plain,
% 202.92/202.85 (~P1(f318(f318(f226(a920),f318(f318(f73(a920),x120341),x120342)),x120341))),
% 202.92/202.85 inference(rename_variables,[],[4718])).
% 202.92/202.85 cnf(12037,plain,
% 202.92/202.85 (~P1(f318(f318(f163(x120371),f104(x120371)),x120372))),
% 202.92/202.85 inference(rename_variables,[],[4702])).
% 202.92/202.85 cnf(12040,plain,
% 202.92/202.85 (P1(f318(f318(f225(a920),x120401),x120401))),
% 202.92/202.85 inference(rename_variables,[],[3518])).
% 202.92/202.85 cnf(12048,plain,
% 202.92/202.85 (~P37(x120481,x120482,f104(x120481))),
% 202.92/202.85 inference(rename_variables,[],[4682])).
% 202.92/202.85 cnf(12051,plain,
% 202.92/202.85 (P1(f318(f318(f320(x120511),x120512),f318(f318(f300(x120511),x120512),x120513)))),
% 202.92/202.85 inference(rename_variables,[],[3825])).
% 202.92/202.85 cnf(12064,plain,
% 202.92/202.85 (~P1(f318(f318(f320(x120641),x120642),f179(f927(x120641,a918))))),
% 202.92/202.85 inference(rename_variables,[],[4706])).
% 202.92/202.85 cnf(12067,plain,
% 202.92/202.85 (E(f318(f318(f18(x120671,x120672),x120673),x120674),x120673)),
% 202.92/202.85 inference(rename_variables,[],[3509])).
% 202.92/202.85 cnf(12070,plain,
% 202.92/202.85 (E(f318(f318(f18(x120701,x120702),x120703),x120704),x120703)),
% 202.92/202.85 inference(rename_variables,[],[3509])).
% 202.92/202.85 cnf(12082,plain,
% 202.92/202.85 (P1(f318(f318(f226(a920),f2(a920)),f318(a103,x120821)))),
% 202.92/202.85 inference(rename_variables,[],[3598])).
% 202.92/202.85 cnf(12085,plain,
% 202.92/202.85 (P1(f318(f318(f225(a920),x120851),x120851))),
% 202.92/202.85 inference(rename_variables,[],[3518])).
% 202.92/202.85 cnf(12088,plain,
% 202.92/202.85 (P1(f318(f55(x120881),f318(f163(x120881),x120882)))),
% 202.92/202.85 inference(rename_variables,[],[3557])).
% 202.92/202.85 cnf(12091,plain,
% 202.92/202.85 (P1(f318(f55(x120911),f318(f163(x120911),x120912)))),
% 202.92/202.85 inference(rename_variables,[],[3557])).
% 202.92/202.85 cnf(12094,plain,
% 202.92/202.85 (P1(f318(f318(f225(a1),f318(f72(a1),f318(f91(a1),x120941))),f318(f91(a1),x120942)))),
% 202.92/202.85 inference(rename_variables,[],[3993])).
% 202.92/202.85 cnf(12097,plain,
% 202.92/202.85 (~P1(f318(f318(f320(x120971),x120972),f179(f927(x120971,a918))))),
% 202.92/202.85 inference(rename_variables,[],[4706])).
% 202.92/202.85 cnf(12111,plain,
% 202.92/202.85 (~P1(f318(f318(f320(a920),f2(a920)),f318(f295(a920),x121111)))),
% 202.92/202.85 inference(scs_inference,[],[3562,3753,4681,4682,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,10870,11183,11376,11379,11398,11401,11594,11695,11702,11716,11762,11765,11787,11804,11819,11882,11939,3439,4667,10716,10816,11286,3127,3128,3131,3134,3135,3138,3139,3141,3145,3146,3150,3151,3153,3154,3156,3166,3175,3176,3219,3237,3243,3244,3257,3270,3274,3277,3283,3299,3410,3313,4659,4076,11986,3363,11692,3479,10556,10559,10652,10655,10973,11707,11710,11830,11869,11874,3456,3971,3353,3715,4062,11738,3416,3349,3376,3372,3359,3983,3575,11133,3449,4144,4675,10547,10713,11591,3509,12067,4704,11312,11411,11647,11650,3622,3413,3414,10617,10949,3674,3331,3435,11728,4286,4146,11332,11463,11522,4722,11235,11476,11585,11611,11655,11661,4723,11365,11479,11588,4724,11482,4725,11540,4726,3434,3877,4557,4558,4672,3812,4026,3586,10636,10755,10836,10909,10912,10952,11052,11302,11916,3964,11972,3502,3598,11803,4699,10524,10527,10553,10676,10854,11060,11075,11193,11633,11731,11915,4710,11846,11877,11912,11919,3951,3722,4094,3546,3547,3521,4696,4669,3706,4711,4279,11608,3835,3557,12088,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,10859,11045,11289,11502,11797,11891,4248,4155,11130,4202,3878,4236,3895,10679,10776,11338,11416,11495,4714,11078,11487,3518,10645,10742,10821,10895,10959,11034,11081,11084,11115,11141,11177,11215,11254,12040,3519,10727,10964,11055,11180,3520,3594,4695,10564,10593,11099,11144,11153,12000,3669,10824,10915,11188,11232,11466,11469,11548,11630,4706,11108,11118,11224,11245,11248,11315,11318,11329,11432,11442,11454,11490,11507,11516,11556,11597,11602,11605,11624,11627,11664,11669,11672,11675,11678,11922,12064,3579,10946,10976,10979,10988,10991,3618,3611,4030,3969,10596,11975,4703,10544,10934,10937,11435,11451,11938,11991,12025,3539,10982,11138,11208,3993,4327,4700,4038,4687,4691,3495,3499,4690,4688,3825,11968,4421,4716,10845,10848,4721,11321,11324,11510,11621,11638,4112,11681,12024,3959,11251,11257,3809,11391,3961,10985,11354,11519,11553,3670,3776,10898,10901,10994,11164,4719,11969,4720,10735,4382,4290,3992,3937,4717,10569,10572,10940,10943,11843,4718,11949,3962,10904,4221,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497,6499,6505,6510,6544,6545,6548,6549,6550,6552,6553,6554,6555,6564,6597,6598,6607,6629,6630,6652,6654,6666,6667,6673,6703,6705,6720,6758,6761,6762,6820,6843,6888,6903,6910,6919,6920,6921,6922,6941,6942,6949,6961,6964,6966,6967,6968,6970,6972,6986,6997,6998,6999,7013,7070,7081,7083,7087,7106,7107,7142,7149,7154,7185,7215,7272,7301,7359,7380,7390,7394,7454,7464,7524,7526,7540,7549,7550,7551,7569,7573,7575,7620,7630,7633,7648,7695,7697,7700,7743,7744,7762,7832,7850,7875,7898,7910,7924,7935,7946,7947,7973,7975,7977,7986,8025,8037,8062,8089,8122,8154,8188,8227,8243,8245,8261,8262,8330,8341,8408,8432,8451,8478,8517,8518,8536,8575,8577,8579,8586,8601,8605,8620,8643,8651,8653,8663,8668,8672,8673,8674,8675,8676,8677,8699,8713,8714,8732,8733,8738,8739,8740,8741,8742,8760,8761,8762,8773,8786,8789,8800,8805,8807,8809,8810,8811,8818,8824,8832,8835,8852,8853,8862,8863,8871,8890,8903,8907,8928,8950,8951,8954,8955,8961,8971,8972,8995,9006,9016,9017,9018,9021,9044,9045,9056,9108,9118,9120,9136,9148,9149,9150,9161,9227,9258,9259,9260,9275,9292,9300,9328,9329,9400,9433,9439,9449,9450,9451,9461,9490,9506,9510,9514,9537,9538,9565,9630,9635,9638,9671,9672,9673,9697,9698,9714,9735,9741,9753,9778,9799,9808,9809,9810,9811,9827,9829,9834,9864,9865,9871,9872,9918,9919,9930,9931,9955,9974,9976,9977,9986,9991,10000,10025,10059,10061,10065,10115,10149,10159,10161,10165,10166,10168,10177,10178,10198,10203,10297,10384,10385,10386,10387,10449,10468,2,8,9,4746,4747,4765,4807,4808,4810,4833,4835,4836,4846,4891,4893,4941,5071,5072,5086,5110,5165,5166,5172,5173,5175,5177,5186,5189,5190,5198,5211,5212,5218,5239,5240,5261,5266,5267,5268,5269,5273,5281,5284,5292,5293,5294,5350,5355,5356,5361,5367,5397,5407,5412,5422,5440,5441,5448,5449,5451,5462,5480,5482,5483,5490,5497,5498,5510,5511,5512,5513,5515,5516,5521,5522,5523,5524,5554,5555,5556,5564,5565,5566,5567,5610,5615,5617,5653,5655,5656,5658,5659,5661,5662,5664,5673,5678,5679,5680,5682,5684,5685,5686,5687,5688,5689,5698,5708,5711,5722,5738,5739,5742,5753,5756,5757,5758,5785,5795,5811,5812,5821,5822,5824,5826,5831,5866,5871,5873,5932,5967,5968,5973,5979,5982,5983,5984,5985,6005,6010,6011,6020,6042,6075,6094,6095,6099,6100,6102,6125,6129,6132,6133,6134,6150,6165,6166,6198,6199,6203,6224,6227,6230,6252,6253,6281,6284,6293,6303,6311,6315,6323,6324,6325])).
% 202.92/202.85 cnf(12113,plain,
% 202.92/202.85 (~P1(f318(f318(f320(a920),x121131),f318(f273(a920),f2(a920))))),
% 202.92/202.85 inference(scs_inference,[],[3562,3753,4681,4682,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,10870,11183,11376,11379,11398,11401,11594,11695,11702,11716,11762,11765,11787,11804,11819,11882,11939,3439,4667,10716,10816,11286,3127,3128,3131,3134,3135,3138,3139,3141,3145,3146,3150,3151,3153,3154,3156,3166,3175,3176,3219,3237,3243,3244,3257,3270,3274,3277,3283,3299,3410,3313,4659,4076,11986,3363,11692,3479,10556,10559,10652,10655,10973,11707,11710,11830,11869,11874,3456,3971,3353,3715,4062,11738,3416,3349,3376,3372,3359,3983,3575,11133,3449,4144,4675,10547,10713,11591,3509,12067,4704,11312,11411,11647,11650,3622,3413,3414,10617,10949,3674,3331,3435,11728,4286,4146,11332,11463,11522,4722,11235,11476,11585,11611,11655,11661,4723,11365,11479,11588,4724,11482,4725,11540,4726,3434,3877,4557,4558,4672,3812,4026,3586,10636,10755,10836,10909,10912,10952,11052,11302,11916,3964,11972,3502,3598,11803,4699,10524,10527,10553,10676,10854,11060,11075,11193,11633,11731,11915,4710,11846,11877,11912,11919,3951,3722,4094,3546,3547,3521,4696,4669,3706,4711,4279,11608,3835,3557,12088,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,10859,11045,11289,11502,11797,11891,4248,4155,11130,4202,3878,4236,3895,10679,10776,11338,11416,11495,4714,11078,11487,3518,10645,10742,10821,10895,10959,11034,11081,11084,11115,11141,11177,11215,11254,12040,3519,10727,10964,11055,11180,3520,3594,4695,10564,10593,11099,11144,11153,12000,3669,10824,10915,11188,11232,11466,11469,11548,11630,4706,11108,11118,11224,11245,11248,11315,11318,11329,11432,11442,11454,11490,11507,11516,11556,11597,11602,11605,11624,11627,11664,11669,11672,11675,11678,11922,12064,3579,10946,10976,10979,10988,10991,3618,3611,4030,3969,10596,11975,4703,10544,10934,10937,11435,11451,11938,11991,12025,3539,10982,11138,11208,3993,4327,4700,4038,4687,4691,3495,3499,4690,4688,3825,11968,4421,4716,10845,10848,4721,11321,11324,11510,11621,11638,4112,11681,12024,3959,11251,11257,3809,11391,3961,10985,11354,11519,11553,3670,3776,10898,10901,10994,11164,4719,11969,4720,10735,4382,4290,3992,3937,4717,10569,10572,10940,10943,11843,4718,11949,3962,10904,4221,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497,6499,6505,6510,6544,6545,6548,6549,6550,6552,6553,6554,6555,6564,6597,6598,6607,6629,6630,6652,6654,6666,6667,6673,6703,6705,6720,6758,6761,6762,6820,6843,6888,6903,6910,6919,6920,6921,6922,6941,6942,6949,6961,6964,6966,6967,6968,6970,6972,6986,6997,6998,6999,7013,7070,7081,7083,7087,7106,7107,7142,7149,7154,7185,7215,7272,7301,7359,7380,7390,7394,7454,7464,7524,7526,7540,7549,7550,7551,7569,7573,7575,7620,7630,7633,7648,7695,7697,7700,7743,7744,7762,7832,7850,7875,7898,7910,7924,7935,7946,7947,7973,7975,7977,7986,8025,8037,8062,8089,8122,8154,8188,8227,8243,8245,8261,8262,8330,8341,8408,8432,8451,8478,8517,8518,8536,8575,8577,8579,8586,8601,8605,8620,8643,8651,8653,8663,8668,8672,8673,8674,8675,8676,8677,8699,8713,8714,8732,8733,8738,8739,8740,8741,8742,8760,8761,8762,8773,8786,8789,8800,8805,8807,8809,8810,8811,8818,8824,8832,8835,8852,8853,8862,8863,8871,8890,8903,8907,8928,8950,8951,8954,8955,8961,8971,8972,8995,9006,9016,9017,9018,9021,9044,9045,9056,9108,9118,9120,9136,9148,9149,9150,9161,9227,9258,9259,9260,9275,9292,9300,9328,9329,9400,9433,9439,9449,9450,9451,9461,9490,9506,9510,9514,9537,9538,9565,9630,9635,9638,9671,9672,9673,9697,9698,9714,9735,9741,9753,9778,9799,9808,9809,9810,9811,9827,9829,9834,9864,9865,9871,9872,9918,9919,9930,9931,9955,9974,9976,9977,9986,9991,10000,10025,10059,10061,10065,10115,10149,10159,10161,10165,10166,10168,10177,10178,10198,10203,10297,10384,10385,10386,10387,10449,10468,2,8,9,4746,4747,4765,4807,4808,4810,4833,4835,4836,4846,4891,4893,4941,5071,5072,5086,5110,5165,5166,5172,5173,5175,5177,5186,5189,5190,5198,5211,5212,5218,5239,5240,5261,5266,5267,5268,5269,5273,5281,5284,5292,5293,5294,5350,5355,5356,5361,5367,5397,5407,5412,5422,5440,5441,5448,5449,5451,5462,5480,5482,5483,5490,5497,5498,5510,5511,5512,5513,5515,5516,5521,5522,5523,5524,5554,5555,5556,5564,5565,5566,5567,5610,5615,5617,5653,5655,5656,5658,5659,5661,5662,5664,5673,5678,5679,5680,5682,5684,5685,5686,5687,5688,5689,5698,5708,5711,5722,5738,5739,5742,5753,5756,5757,5758,5785,5795,5811,5812,5821,5822,5824,5826,5831,5866,5871,5873,5932,5967,5968,5973,5979,5982,5983,5984,5985,6005,6010,6011,6020,6042,6075,6094,6095,6099,6100,6102,6125,6129,6132,6133,6134,6150,6165,6166,6198,6199,6203,6224,6227,6230,6252,6253,6281,6284,6293,6303,6311,6315,6323,6324,6325,6326])).
% 202.92/202.85 cnf(12115,plain,
% 202.92/202.85 (P1(f318(f318(f225(a1),f39(a920,x121151,f179(a920))),x121151))),
% 202.92/202.85 inference(scs_inference,[],[3562,3753,4681,4682,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,10870,11183,11376,11379,11398,11401,11594,11695,11702,11716,11762,11765,11787,11804,11819,11882,11939,3439,4667,10716,10816,11286,3127,3128,3131,3134,3135,3138,3139,3141,3145,3146,3150,3151,3153,3154,3156,3166,3175,3176,3219,3237,3243,3244,3257,3270,3274,3277,3283,3299,3410,3313,4659,4076,11986,3363,11692,3479,10556,10559,10652,10655,10973,11707,11710,11830,11869,11874,3456,3971,3353,3715,4062,11738,3416,3349,3376,3372,3359,3983,3575,11133,3449,4144,4675,10547,10713,11591,3509,12067,4704,11312,11411,11647,11650,3622,3413,3414,10617,10949,3674,3331,3435,11728,4286,4146,11332,11463,11522,4722,11235,11476,11585,11611,11655,11661,4723,11365,11479,11588,4724,11482,4725,11540,4726,3434,3877,4557,4558,4672,3812,4026,3586,10636,10755,10836,10909,10912,10952,11052,11302,11916,3964,11972,3502,3598,11803,4699,10524,10527,10553,10676,10854,11060,11075,11193,11633,11731,11915,4710,11846,11877,11912,11919,3951,3722,4094,3546,3547,3521,4696,4669,3706,4711,4279,11608,3835,3557,12088,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,10859,11045,11289,11502,11797,11891,4248,4155,11130,4202,3878,4236,3895,10679,10776,11338,11416,11495,4714,11078,11487,3518,10645,10742,10821,10895,10959,11034,11081,11084,11115,11141,11177,11215,11254,12040,3519,10727,10964,11055,11180,11822,3520,3594,4695,10564,10593,11099,11144,11153,12000,3669,10824,10915,11188,11232,11466,11469,11548,11630,4706,11108,11118,11224,11245,11248,11315,11318,11329,11432,11442,11454,11490,11507,11516,11556,11597,11602,11605,11624,11627,11664,11669,11672,11675,11678,11922,12064,3579,10946,10976,10979,10988,10991,3618,3611,4030,3969,10596,11975,4703,10544,10934,10937,11435,11451,11938,11991,12025,3539,10982,11138,11208,3993,4327,4700,4038,4687,4691,3495,3499,4690,4688,3825,11968,4421,4716,10845,10848,4721,11321,11324,11510,11621,11638,4112,11681,12024,3959,11251,11257,3809,11391,3961,10985,11354,11519,11553,3670,3776,10898,10901,10994,11164,4719,11969,4720,10735,4382,4290,3992,3937,4717,10569,10572,10940,10943,11843,4718,11949,3962,10904,4221,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497,6499,6505,6510,6544,6545,6548,6549,6550,6552,6553,6554,6555,6564,6597,6598,6607,6629,6630,6652,6654,6666,6667,6673,6703,6705,6720,6758,6761,6762,6820,6843,6888,6903,6910,6919,6920,6921,6922,6941,6942,6949,6961,6964,6966,6967,6968,6970,6972,6986,6997,6998,6999,7013,7070,7081,7083,7087,7106,7107,7142,7149,7154,7185,7215,7272,7301,7359,7380,7390,7394,7454,7464,7524,7526,7540,7549,7550,7551,7569,7573,7575,7620,7630,7633,7648,7695,7697,7700,7743,7744,7762,7832,7850,7875,7898,7910,7924,7935,7946,7947,7973,7975,7977,7986,8025,8037,8062,8089,8122,8154,8188,8227,8243,8245,8261,8262,8330,8341,8408,8432,8451,8478,8517,8518,8536,8575,8577,8579,8586,8601,8605,8620,8643,8651,8653,8663,8668,8672,8673,8674,8675,8676,8677,8699,8713,8714,8732,8733,8738,8739,8740,8741,8742,8760,8761,8762,8773,8786,8789,8800,8805,8807,8809,8810,8811,8818,8824,8832,8835,8852,8853,8862,8863,8871,8890,8903,8907,8928,8950,8951,8954,8955,8961,8971,8972,8995,9006,9016,9017,9018,9021,9044,9045,9056,9108,9118,9120,9136,9148,9149,9150,9161,9227,9258,9259,9260,9275,9292,9300,9328,9329,9400,9433,9439,9449,9450,9451,9461,9490,9506,9510,9514,9537,9538,9565,9630,9635,9638,9671,9672,9673,9697,9698,9714,9735,9741,9753,9778,9799,9808,9809,9810,9811,9827,9829,9834,9864,9865,9871,9872,9918,9919,9930,9931,9955,9974,9976,9977,9986,9991,10000,10025,10059,10061,10065,10115,10149,10159,10161,10165,10166,10168,10177,10178,10198,10203,10297,10384,10385,10386,10387,10449,10468,2,8,9,4746,4747,4765,4807,4808,4810,4833,4835,4836,4846,4891,4893,4941,5071,5072,5086,5110,5165,5166,5172,5173,5175,5177,5186,5189,5190,5198,5211,5212,5218,5239,5240,5261,5266,5267,5268,5269,5273,5281,5284,5292,5293,5294,5350,5355,5356,5361,5367,5397,5407,5412,5422,5440,5441,5448,5449,5451,5462,5480,5482,5483,5490,5497,5498,5510,5511,5512,5513,5515,5516,5521,5522,5523,5524,5554,5555,5556,5564,5565,5566,5567,5610,5615,5617,5653,5655,5656,5658,5659,5661,5662,5664,5673,5678,5679,5680,5682,5684,5685,5686,5687,5688,5689,5698,5708,5711,5722,5738,5739,5742,5753,5756,5757,5758,5785,5795,5811,5812,5821,5822,5824,5826,5831,5866,5871,5873,5932,5967,5968,5973,5979,5982,5983,5984,5985,6005,6010,6011,6020,6042,6075,6094,6095,6099,6100,6102,6125,6129,6132,6133,6134,6150,6165,6166,6198,6199,6203,6224,6227,6230,6252,6253,6281,6284,6293,6303,6311,6315,6323,6324,6325,6326,6358])).
% 202.92/202.85 cnf(12116,plain,
% 202.92/202.85 (P1(f318(f318(f225(a1),x121161),x121161))),
% 202.92/202.85 inference(rename_variables,[],[3519])).
% 202.92/202.85 cnf(12119,plain,
% 202.92/202.85 (P1(f318(f318(f225(a1),x121191),x121191))),
% 202.92/202.85 inference(rename_variables,[],[3519])).
% 202.92/202.85 cnf(12130,plain,
% 202.92/202.85 (P1(f318(f318(f225(a1),x121301),x121301))),
% 202.92/202.85 inference(rename_variables,[],[3519])).
% 202.92/202.85 cnf(12133,plain,
% 202.92/202.85 (~P1(f318(f318(f226(a920),x121331),f2(a920)))),
% 202.92/202.85 inference(rename_variables,[],[4699])).
% 202.92/202.85 cnf(12138,plain,
% 202.92/202.85 (~P1(f318(f318(f226(a920),x121381),f2(a920)))),
% 202.92/202.85 inference(rename_variables,[],[4699])).
% 202.92/202.85 cnf(12147,plain,
% 202.92/202.85 (P1(f318(f318(f225(a920),f2(a920)),x121471))),
% 202.92/202.85 inference(rename_variables,[],[3539])).
% 202.92/202.85 cnf(12148,plain,
% 202.92/202.85 (~P1(f318(f318(f225(a920),f318(a103,x121481)),x121481))),
% 202.92/202.85 inference(rename_variables,[],[4703])).
% 202.92/202.85 cnf(12151,plain,
% 202.92/202.85 (~P1(f318(f318(f163(x121511),f104(x121511)),x121512))),
% 202.92/202.85 inference(rename_variables,[],[4702])).
% 202.92/202.85 cnf(12154,plain,
% 202.92/202.85 (~P1(f318(f318(f163(x121541),f104(x121541)),x121542))),
% 202.92/202.85 inference(rename_variables,[],[4702])).
% 202.92/202.85 cnf(12170,plain,
% 202.92/202.85 (P1(f318(f318(f226(a1),f318(f72(a1),f71(a1))),f2(a1)))),
% 202.92/202.85 inference(scs_inference,[],[3562,3753,4681,4682,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,10870,11183,11376,11379,11398,11401,11594,11695,11702,11716,11762,11765,11787,11804,11819,11882,11939,3439,4667,10716,10816,11286,3127,3128,3131,3134,3135,3138,3139,3141,3145,3146,3150,3151,3153,3154,3156,3165,3166,3175,3176,3213,3219,3237,3243,3244,3257,3270,3273,3274,3277,3283,3299,3410,3313,4659,4076,11986,3363,11692,3479,10556,10559,10652,10655,10973,11707,11710,11830,11869,11874,3456,3971,3353,3715,4062,11738,3416,3349,3376,3372,3359,3983,3575,11133,3449,4144,4675,10547,10713,11591,3509,12067,4704,11312,11411,11647,11650,3622,3413,3414,10617,10949,3674,3331,3435,11728,4286,4146,11332,11463,11522,4722,11235,11476,11585,11611,11655,11661,4723,11365,11479,11588,4724,11482,4725,11540,4726,3434,3877,4557,4558,4672,3812,4026,3586,10636,10755,10836,10909,10912,10952,11052,11302,11916,3964,11972,3502,3598,11803,4699,10524,10527,10553,10676,10854,11060,11075,11193,11633,11731,11915,12133,12138,4710,11846,11877,11912,11919,11952,3951,3722,4094,3546,3547,3521,4696,4669,3706,4711,4279,11608,3835,3557,12088,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,10859,11045,11289,11502,11797,11891,12037,12151,4248,4155,11130,4202,3878,4236,3895,10679,10776,11338,11416,11495,4714,11078,11487,3518,10645,10742,10821,10895,10959,11034,11081,11084,11115,11141,11177,11215,11254,12040,3519,10727,10964,11055,11180,11822,12116,12119,3520,3594,4695,10564,10593,11099,11144,11153,12000,3669,10824,10915,11188,11232,11466,11469,11548,11630,4706,11108,11118,11224,11245,11248,11315,11318,11329,11432,11442,11454,11490,11507,11516,11556,11597,11602,11605,11624,11627,11664,11669,11672,11675,11678,11922,12064,3579,10946,10976,10979,10988,10991,3618,3611,4030,3969,10596,11975,12003,4703,10544,10934,10937,11435,11451,11938,11991,12025,3539,10982,11138,11208,12004,3993,4327,4700,4038,4687,4691,3495,3499,4690,4688,3825,11968,4421,4716,10845,10848,4721,11321,11324,11510,11621,11638,4112,11681,12024,3959,11251,11257,3809,11391,3961,10985,11354,11519,11553,3670,3776,10898,10901,10994,11164,4719,11969,4720,10735,4382,4290,3992,3937,4717,10569,10572,10940,10943,11843,4718,11949,3962,10904,4221,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497,6499,6505,6510,6544,6545,6548,6549,6550,6552,6553,6554,6555,6564,6597,6598,6607,6629,6630,6652,6654,6666,6667,6673,6703,6705,6720,6758,6761,6762,6820,6843,6888,6903,6910,6919,6920,6921,6922,6941,6942,6949,6961,6964,6966,6967,6968,6970,6972,6986,6997,6998,6999,7013,7070,7081,7083,7087,7106,7107,7142,7149,7154,7185,7215,7272,7301,7359,7380,7390,7394,7454,7464,7524,7526,7540,7549,7550,7551,7569,7573,7575,7620,7630,7633,7648,7695,7697,7700,7743,7744,7762,7832,7850,7875,7898,7910,7924,7935,7946,7947,7973,7975,7977,7986,8025,8037,8062,8089,8122,8154,8188,8227,8243,8245,8261,8262,8330,8341,8408,8432,8451,8478,8517,8518,8536,8575,8577,8579,8586,8601,8605,8620,8643,8651,8653,8663,8668,8672,8673,8674,8675,8676,8677,8699,8713,8714,8732,8733,8738,8739,8740,8741,8742,8760,8761,8762,8773,8786,8789,8800,8805,8807,8809,8810,8811,8818,8824,8832,8835,8852,8853,8862,8863,8871,8890,8903,8907,8928,8950,8951,8954,8955,8961,8971,8972,8995,9006,9016,9017,9018,9021,9044,9045,9056,9108,9118,9120,9136,9148,9149,9150,9161,9227,9258,9259,9260,9275,9292,9300,9328,9329,9400,9433,9439,9449,9450,9451,9461,9490,9506,9510,9514,9537,9538,9565,9630,9635,9638,9671,9672,9673,9697,9698,9714,9735,9741,9753,9778,9799,9808,9809,9810,9811,9827,9829,9834,9864,9865,9871,9872,9918,9919,9930,9931,9955,9974,9976,9977,9986,9991,10000,10025,10059,10061,10065,10115,10149,10159,10161,10165,10166,10168,10177,10178,10198,10203,10297,10384,10385,10386,10387,10449,10468,2,8,9,4746,4747,4765,4807,4808,4810,4833,4835,4836,4846,4891,4893,4941,5071,5072,5086,5110,5165,5166,5172,5173,5175,5177,5186,5189,5190,5198,5211,5212,5218,5239,5240,5261,5266,5267,5268,5269,5273,5281,5284,5292,5293,5294,5350,5355,5356,5361,5367,5397,5407,5412,5422,5440,5441,5448,5449,5451,5462,5480,5482,5483,5490,5497,5498,5510,5511,5512,5513,5515,5516,5521,5522,5523,5524,5554,5555,5556,5564,5565,5566,5567,5610,5615,5617,5653,5655,5656,5658,5659,5661,5662,5664,5673,5678,5679,5680,5682,5684,5685,5686,5687,5688,5689,5698,5708,5711,5722,5738,5739,5742,5753,5756,5757,5758,5785,5795,5811,5812,5821,5822,5824,5826,5831,5866,5871,5873,5932,5967,5968,5973,5979,5982,5983,5984,5985,6005,6010,6011,6020,6042,6075,6094,6095,6099,6100,6102,6125,6129,6132,6133,6134,6150,6165,6166,6198,6199,6203,6224,6227,6230,6252,6253,6281,6284,6293,6303,6311,6315,6323,6324,6325,6326,6358,6376,6428,6465,6467,6468,6490,6491,6498,6502,6503,6506,6521,6536,6557,6558,6565,6575,6590,6610,6617,6619,6634,6635])).
% 202.92/202.85 cnf(12173,plain,
% 202.92/202.85 (~P1(f318(f318(f225(a920),f318(a103,x121731)),x121731))),
% 202.92/202.85 inference(rename_variables,[],[4703])).
% 202.92/202.85 cnf(12176,plain,
% 202.92/202.85 (~P1(f318(f318(f225(a920),f318(a103,x121761)),x121761))),
% 202.92/202.85 inference(rename_variables,[],[4703])).
% 202.92/202.85 cnf(12179,plain,
% 202.92/202.85 (~P1(f318(f318(f225(a920),f318(a103,x121791)),x121791))),
% 202.92/202.85 inference(rename_variables,[],[4703])).
% 202.92/202.85 cnf(12182,plain,
% 202.92/202.85 (~P1(f318(f318(f225(a920),f318(a103,x121821)),x121821))),
% 202.92/202.85 inference(rename_variables,[],[4703])).
% 202.92/202.85 cnf(12185,plain,
% 202.92/202.85 (~P1(f318(f318(f226(a920),x121851),x121851))),
% 202.92/202.85 inference(rename_variables,[],[4695])).
% 202.92/202.85 cnf(12188,plain,
% 202.92/202.85 (~P1(f318(f318(f226(a920),x121881),x121881))),
% 202.92/202.85 inference(rename_variables,[],[4695])).
% 202.92/202.85 cnf(12191,plain,
% 202.92/202.85 (~P1(f318(f318(f226(a920),x121911),x121911))),
% 202.92/202.85 inference(rename_variables,[],[4695])).
% 202.92/202.85 cnf(12194,plain,
% 202.92/202.85 (~P1(f318(f318(f226(a920),x121941),x121941))),
% 202.92/202.85 inference(rename_variables,[],[4695])).
% 202.92/202.85 cnf(12210,plain,
% 202.92/202.85 (P1(f318(f318(f225(a920),f318(f318(f3(a920),x122101),f318(a103,x122101))),f2(a920)))),
% 202.92/202.85 inference(scs_inference,[],[3562,3753,4681,4682,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,10870,11183,11376,11379,11398,11401,11594,11695,11702,11716,11762,11765,11787,11804,11819,11882,11939,3439,4667,10716,10816,11286,3127,3128,3131,3134,3135,3138,3139,3141,3145,3146,3150,3151,3153,3154,3156,3165,3166,3175,3176,3213,3219,3237,3243,3244,3257,3270,3273,3274,3277,3283,3299,3410,3313,4659,4076,11986,3363,11692,3479,10556,10559,10652,10655,10973,11707,11710,11830,11869,11874,3456,3971,3353,3715,4062,11738,3416,3349,3376,3372,3359,3983,3575,11133,3449,4144,4675,10547,10713,11591,3509,12067,4704,11312,11411,11647,11650,3622,3413,3414,10617,10949,3674,3331,3435,11728,4286,4146,11332,11463,11522,4722,11235,11476,11585,11611,11655,11661,4723,11365,11479,11588,4724,11482,4725,11540,4726,3434,3877,4557,4558,4672,3812,4026,3586,10636,10755,10836,10909,10912,10952,11052,11302,11916,3964,11972,3502,3598,11803,4699,10524,10527,10553,10676,10854,11060,11075,11193,11633,11731,11915,12133,12138,4710,11846,11877,11912,11919,11952,3951,3722,4094,3546,3547,3521,4696,4669,3706,4711,4279,11608,3835,3557,12088,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,10859,11045,11289,11502,11797,11891,12037,12151,4248,4155,11130,4202,3878,4236,3895,10679,10776,11338,11416,11495,4714,11078,11487,3518,10645,10742,10821,10895,10959,11034,11081,11084,11115,11141,11177,11215,11254,12040,12085,3519,10727,10964,11055,11180,11822,12116,12119,3520,3594,4695,10564,10593,11099,11144,11153,12000,12021,12185,12188,12191,3669,10824,10915,11188,11232,11466,11469,11548,11630,4706,11108,11118,11224,11245,11248,11315,11318,11329,11432,11442,11454,11490,11507,11516,11556,11597,11602,11605,11624,11627,11664,11669,11672,11675,11678,11922,12064,3579,10946,10976,10979,10988,10991,3618,3611,4030,3969,10596,11975,12003,4703,10544,10934,10937,11435,11451,11938,11991,12025,12148,12173,12176,12179,3539,10982,11138,11208,12004,3993,4327,4700,4038,4687,4691,3495,3499,4690,4688,3825,11968,4421,4716,10845,10848,4721,11321,11324,11510,11621,11638,4112,11681,12024,3959,11251,11257,3809,11391,3961,10985,11354,11519,11553,3670,3776,10898,10901,10994,11164,4719,11969,4720,10735,4382,4290,3992,3937,4717,10569,10572,10940,10943,11843,4718,11949,3962,10904,4221,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497,6499,6505,6510,6544,6545,6548,6549,6550,6552,6553,6554,6555,6564,6597,6598,6607,6629,6630,6652,6654,6666,6667,6673,6703,6705,6720,6758,6761,6762,6820,6843,6888,6903,6910,6919,6920,6921,6922,6941,6942,6949,6961,6964,6966,6967,6968,6970,6972,6986,6997,6998,6999,7013,7070,7081,7083,7087,7106,7107,7142,7149,7154,7185,7215,7272,7301,7359,7380,7390,7394,7454,7464,7524,7526,7540,7549,7550,7551,7569,7573,7575,7620,7630,7633,7648,7695,7697,7700,7743,7744,7762,7832,7850,7875,7898,7910,7924,7935,7946,7947,7973,7975,7977,7986,8025,8037,8062,8089,8122,8154,8188,8227,8243,8245,8261,8262,8330,8341,8408,8432,8451,8478,8517,8518,8536,8575,8577,8579,8586,8601,8605,8620,8643,8651,8653,8663,8668,8672,8673,8674,8675,8676,8677,8699,8713,8714,8732,8733,8738,8739,8740,8741,8742,8760,8761,8762,8773,8786,8789,8800,8805,8807,8809,8810,8811,8818,8824,8832,8835,8852,8853,8862,8863,8871,8890,8903,8907,8928,8950,8951,8954,8955,8961,8971,8972,8995,9006,9016,9017,9018,9021,9044,9045,9056,9108,9118,9120,9136,9148,9149,9150,9161,9227,9258,9259,9260,9275,9292,9300,9328,9329,9400,9433,9439,9449,9450,9451,9461,9490,9506,9510,9514,9537,9538,9565,9630,9635,9638,9671,9672,9673,9697,9698,9714,9735,9741,9753,9778,9799,9808,9809,9810,9811,9827,9829,9834,9864,9865,9871,9872,9918,9919,9930,9931,9955,9974,9976,9977,9986,9991,10000,10025,10059,10061,10065,10115,10149,10159,10161,10165,10166,10168,10177,10178,10198,10203,10297,10384,10385,10386,10387,10449,10468,2,8,9,4746,4747,4765,4807,4808,4810,4833,4835,4836,4846,4891,4893,4941,5071,5072,5086,5110,5165,5166,5172,5173,5175,5177,5186,5189,5190,5198,5211,5212,5218,5239,5240,5261,5266,5267,5268,5269,5273,5281,5284,5292,5293,5294,5350,5355,5356,5361,5367,5397,5407,5412,5422,5440,5441,5448,5449,5451,5462,5480,5482,5483,5490,5497,5498,5510,5511,5512,5513,5515,5516,5521,5522,5523,5524,5554,5555,5556,5564,5565,5566,5567,5610,5615,5617,5653,5655,5656,5658,5659,5661,5662,5664,5673,5678,5679,5680,5682,5684,5685,5686,5687,5688,5689,5698,5708,5711,5722,5738,5739,5742,5753,5756,5757,5758,5785,5795,5811,5812,5821,5822,5824,5826,5831,5866,5871,5873,5932,5967,5968,5973,5979,5982,5983,5984,5985,6005,6010,6011,6020,6042,6075,6094,6095,6099,6100,6102,6125,6129,6132,6133,6134,6150,6165,6166,6198,6199,6203,6224,6227,6230,6252,6253,6281,6284,6293,6303,6311,6315,6323,6324,6325,6326,6358,6376,6428,6465,6467,6468,6490,6491,6498,6502,6503,6506,6521,6536,6557,6558,6565,6575,6590,6610,6617,6619,6634,6635,6638,6639,6641,6643,6644,6645,6647,6649,6653,6659,6660,6662,6663,6669,6671,6713])).
% 202.92/202.85 cnf(12211,plain,
% 202.92/202.85 (P1(f318(f318(f225(a920),x122111),x122111))),
% 202.92/202.85 inference(rename_variables,[],[3518])).
% 202.92/202.85 cnf(12214,plain,
% 202.92/202.85 (P25(a920,a920,a103,x122141)),
% 202.92/202.85 inference(rename_variables,[],[3721])).
% 202.92/202.85 cnf(12216,plain,
% 202.92/202.85 (P1(f318(f318(f225(a1),x122161),f318(f69(a1),x122161)))),
% 202.92/202.85 inference(scs_inference,[],[3562,3753,4681,4682,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,10870,11183,11376,11379,11398,11401,11594,11695,11702,11716,11762,11765,11787,11804,11819,11882,11939,3721,3439,4667,10716,10816,11286,3127,3128,3131,3134,3135,3138,3139,3141,3145,3146,3150,3151,3153,3154,3156,3165,3166,3175,3176,3213,3219,3237,3243,3244,3257,3270,3273,3274,3277,3283,3299,3410,3313,4659,4076,11986,3363,11692,3479,10556,10559,10652,10655,10973,11707,11710,11830,11869,11874,3456,3971,3353,3715,4062,11738,3416,3349,3376,3372,3359,3983,3575,11133,3449,4144,4675,10547,10713,11591,3509,12067,4704,11312,11411,11647,11650,3622,3413,3414,10617,10949,3674,3331,3435,11728,4286,4146,11332,11463,11522,4722,11235,11476,11585,11611,11655,11661,4723,11365,11479,11588,4724,11482,4725,11540,4726,3434,3877,4557,4558,4672,3812,4026,3586,10636,10755,10836,10909,10912,10952,11052,11302,11916,3964,11972,3502,3598,11803,4699,10524,10527,10553,10676,10854,11060,11075,11193,11633,11731,11915,12133,12138,4710,11846,11877,11912,11919,11952,3951,3722,4094,3546,3547,3521,4696,4669,3706,4711,4279,11608,3835,3557,12088,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,10859,11045,11289,11502,11797,11891,12037,12151,4248,4155,11130,4202,3878,4236,3895,10679,10776,11338,11416,11495,4714,11078,11487,3518,10645,10742,10821,10895,10959,11034,11081,11084,11115,11141,11177,11215,11254,12040,12085,3519,10727,10964,11055,11180,11822,12116,12119,12130,3520,3594,4695,10564,10593,11099,11144,11153,12000,12021,12185,12188,12191,3669,10824,10915,11188,11232,11466,11469,11548,11630,4706,11108,11118,11224,11245,11248,11315,11318,11329,11432,11442,11454,11490,11507,11516,11556,11597,11602,11605,11624,11627,11664,11669,11672,11675,11678,11922,12064,3579,10946,10976,10979,10988,10991,3618,3611,4030,3969,10596,11975,12003,4703,10544,10934,10937,11435,11451,11938,11991,12025,12148,12173,12176,12179,3539,10982,11138,11208,12004,3993,4327,4700,4038,4687,4691,3495,3499,4690,4688,3825,11968,4421,4716,10845,10848,4721,11321,11324,11510,11621,11638,4112,11681,12024,3959,11251,11257,3809,11391,3961,10985,11354,11519,11553,3670,3776,10898,10901,10994,11164,4719,11969,4720,10735,4382,4290,3992,3937,4717,10569,10572,10940,10943,11843,4718,11949,3962,10904,4221,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497,6499,6505,6510,6544,6545,6548,6549,6550,6552,6553,6554,6555,6564,6597,6598,6607,6629,6630,6652,6654,6666,6667,6673,6703,6705,6720,6758,6761,6762,6820,6843,6888,6903,6910,6919,6920,6921,6922,6941,6942,6949,6961,6964,6966,6967,6968,6970,6972,6986,6997,6998,6999,7013,7070,7081,7083,7087,7106,7107,7142,7149,7154,7185,7215,7272,7301,7359,7380,7390,7394,7454,7464,7524,7526,7540,7549,7550,7551,7569,7573,7575,7620,7630,7633,7648,7695,7697,7700,7743,7744,7762,7832,7850,7875,7898,7910,7924,7935,7946,7947,7973,7975,7977,7986,8025,8037,8062,8089,8122,8154,8188,8227,8243,8245,8261,8262,8330,8341,8408,8432,8451,8478,8517,8518,8536,8575,8577,8579,8586,8601,8605,8620,8643,8651,8653,8663,8668,8672,8673,8674,8675,8676,8677,8699,8713,8714,8732,8733,8738,8739,8740,8741,8742,8760,8761,8762,8773,8786,8789,8800,8805,8807,8809,8810,8811,8818,8824,8832,8835,8852,8853,8862,8863,8871,8890,8903,8907,8928,8950,8951,8954,8955,8961,8971,8972,8995,9006,9016,9017,9018,9021,9044,9045,9056,9108,9118,9120,9136,9148,9149,9150,9161,9227,9258,9259,9260,9275,9292,9300,9328,9329,9400,9433,9439,9449,9450,9451,9461,9490,9506,9510,9514,9537,9538,9565,9630,9635,9638,9671,9672,9673,9697,9698,9714,9735,9741,9753,9778,9799,9808,9809,9810,9811,9827,9829,9834,9864,9865,9871,9872,9918,9919,9930,9931,9955,9974,9976,9977,9986,9991,10000,10025,10059,10061,10065,10115,10149,10159,10161,10165,10166,10168,10177,10178,10198,10203,10297,10384,10385,10386,10387,10449,10468,2,8,9,4746,4747,4765,4807,4808,4810,4833,4835,4836,4846,4891,4893,4941,5071,5072,5086,5110,5165,5166,5172,5173,5175,5177,5186,5189,5190,5198,5211,5212,5218,5239,5240,5261,5266,5267,5268,5269,5273,5281,5284,5292,5293,5294,5350,5355,5356,5361,5367,5397,5407,5412,5422,5440,5441,5448,5449,5451,5462,5480,5482,5483,5490,5497,5498,5510,5511,5512,5513,5515,5516,5521,5522,5523,5524,5554,5555,5556,5564,5565,5566,5567,5610,5615,5617,5653,5655,5656,5658,5659,5661,5662,5664,5673,5678,5679,5680,5682,5684,5685,5686,5687,5688,5689,5698,5708,5711,5722,5738,5739,5742,5753,5756,5757,5758,5785,5795,5811,5812,5821,5822,5824,5826,5831,5866,5871,5873,5932,5967,5968,5973,5979,5982,5983,5984,5985,6005,6010,6011,6020,6042,6075,6094,6095,6099,6100,6102,6125,6129,6132,6133,6134,6150,6165,6166,6198,6199,6203,6224,6227,6230,6252,6253,6281,6284,6293,6303,6311,6315,6323,6324,6325,6326,6358,6376,6428,6465,6467,6468,6490,6491,6498,6502,6503,6506,6521,6536,6557,6558,6565,6575,6590,6610,6617,6619,6634,6635,6638,6639,6641,6643,6644,6645,6647,6649,6653,6659,6660,6662,6663,6669,6671,6713,6719,6734])).
% 202.92/202.85 cnf(12217,plain,
% 202.92/202.85 (P1(f318(f318(f225(a1),x122171),x122171))),
% 202.92/202.85 inference(rename_variables,[],[3519])).
% 202.92/202.85 cnf(12228,plain,
% 202.92/202.85 (P1(f318(f318(f225(a1),x122281),x122281))),
% 202.92/202.85 inference(rename_variables,[],[3519])).
% 202.92/202.85 cnf(12230,plain,
% 202.92/202.85 (~P1(f318(f318(f163(x122301),f318(f127(x122301,x122302),f104(x122301))),x122303))),
% 202.92/202.85 inference(scs_inference,[],[3562,3753,4681,4682,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,10870,11183,11376,11379,11398,11401,11594,11695,11702,11716,11762,11765,11787,11804,11819,11882,11939,3721,3439,4667,10716,10816,11286,3127,3128,3131,3134,3135,3138,3139,3141,3145,3146,3150,3151,3153,3154,3156,3165,3166,3175,3176,3213,3219,3237,3243,3244,3257,3270,3273,3274,3277,3283,3299,3410,3313,4659,4076,11986,3363,11692,3479,10556,10559,10652,10655,10973,11707,11710,11830,11869,11874,3456,3971,3353,3715,4062,11738,3416,3349,3376,3372,3359,3983,3575,11133,3449,4144,4675,10547,10713,11591,3509,12067,4704,11312,11411,11647,11650,3622,3413,3414,10617,10949,3674,3331,3435,11728,4286,4146,11332,11463,11522,4722,11235,11476,11585,11611,11655,11661,4723,11365,11479,11588,4724,11482,4725,11540,4726,3434,3877,4557,4558,4672,3812,4026,3586,10636,10755,10836,10909,10912,10952,11052,11302,11916,3964,11972,3502,3598,11803,4699,10524,10527,10553,10676,10854,11060,11075,11193,11633,11731,11915,12133,12138,4710,11846,11877,11912,11919,11952,3951,3722,4094,3546,3547,3521,4696,4669,3706,4711,4279,11608,3835,3557,12088,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,10859,11045,11289,11502,11797,11891,12037,12151,12154,4248,4155,11130,4202,3878,4236,3895,10679,10776,11338,11416,11495,4714,11078,11487,3518,10645,10742,10821,10895,10959,11034,11081,11084,11115,11141,11177,11215,11254,12040,12085,3519,10727,10964,11055,11180,11822,12116,12119,12130,12217,3520,3594,4695,10564,10593,11099,11144,11153,12000,12021,12185,12188,12191,3669,10824,10915,11188,11232,11466,11469,11548,11630,4706,11108,11118,11224,11245,11248,11315,11318,11329,11432,11442,11454,11490,11507,11516,11556,11597,11602,11605,11624,11627,11664,11669,11672,11675,11678,11922,12064,3579,10946,10976,10979,10988,10991,3618,3611,4030,3969,10596,11975,12003,4703,10544,10934,10937,11435,11451,11938,11991,12025,12148,12173,12176,12179,3539,10982,11138,11208,12004,3993,4327,4700,4038,4687,4691,3495,3499,4690,4688,3825,11968,4421,4716,10845,10848,4721,11321,11324,11510,11621,11638,4112,11681,12024,3959,11251,11257,3809,11391,3961,10985,11354,11519,11553,3670,3776,10898,10901,10994,11164,4719,11969,4720,10735,4382,4290,3992,3937,4717,10569,10572,10940,10943,11843,4718,11949,3962,10904,4221,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497,6499,6505,6510,6544,6545,6548,6549,6550,6552,6553,6554,6555,6564,6597,6598,6607,6629,6630,6652,6654,6666,6667,6673,6703,6705,6720,6758,6761,6762,6820,6843,6888,6903,6910,6919,6920,6921,6922,6941,6942,6949,6961,6964,6966,6967,6968,6970,6972,6986,6997,6998,6999,7013,7070,7081,7083,7087,7106,7107,7142,7149,7154,7185,7215,7272,7301,7359,7380,7390,7394,7454,7464,7524,7526,7540,7549,7550,7551,7569,7573,7575,7620,7630,7633,7648,7695,7697,7700,7743,7744,7762,7832,7850,7875,7898,7910,7924,7935,7946,7947,7973,7975,7977,7986,8025,8037,8062,8089,8122,8154,8188,8227,8243,8245,8261,8262,8330,8341,8408,8432,8451,8478,8517,8518,8536,8575,8577,8579,8586,8601,8605,8620,8643,8651,8653,8663,8668,8672,8673,8674,8675,8676,8677,8699,8713,8714,8732,8733,8738,8739,8740,8741,8742,8760,8761,8762,8773,8786,8789,8800,8805,8807,8809,8810,8811,8818,8824,8832,8835,8852,8853,8862,8863,8871,8890,8903,8907,8928,8950,8951,8954,8955,8961,8971,8972,8995,9006,9016,9017,9018,9021,9044,9045,9056,9108,9118,9120,9136,9148,9149,9150,9161,9227,9258,9259,9260,9275,9292,9300,9328,9329,9400,9433,9439,9449,9450,9451,9461,9490,9506,9510,9514,9537,9538,9565,9630,9635,9638,9671,9672,9673,9697,9698,9714,9735,9741,9753,9778,9799,9808,9809,9810,9811,9827,9829,9834,9864,9865,9871,9872,9918,9919,9930,9931,9955,9974,9976,9977,9986,9991,10000,10025,10059,10061,10065,10115,10149,10159,10161,10165,10166,10168,10177,10178,10198,10203,10297,10384,10385,10386,10387,10449,10468,2,8,9,4746,4747,4765,4807,4808,4810,4833,4835,4836,4846,4891,4893,4941,5071,5072,5086,5110,5165,5166,5172,5173,5175,5177,5186,5189,5190,5198,5211,5212,5218,5239,5240,5261,5266,5267,5268,5269,5273,5281,5284,5292,5293,5294,5350,5355,5356,5361,5367,5397,5407,5412,5422,5440,5441,5448,5449,5451,5462,5480,5482,5483,5490,5497,5498,5510,5511,5512,5513,5515,5516,5521,5522,5523,5524,5554,5555,5556,5564,5565,5566,5567,5610,5615,5617,5653,5655,5656,5658,5659,5661,5662,5664,5673,5678,5679,5680,5682,5684,5685,5686,5687,5688,5689,5698,5708,5711,5722,5738,5739,5742,5753,5756,5757,5758,5785,5795,5811,5812,5821,5822,5824,5826,5831,5866,5871,5873,5932,5967,5968,5973,5979,5982,5983,5984,5985,6005,6010,6011,6020,6042,6075,6094,6095,6099,6100,6102,6125,6129,6132,6133,6134,6150,6165,6166,6198,6199,6203,6224,6227,6230,6252,6253,6281,6284,6293,6303,6311,6315,6323,6324,6325,6326,6358,6376,6428,6465,6467,6468,6490,6491,6498,6502,6503,6506,6521,6536,6557,6558,6565,6575,6590,6610,6617,6619,6634,6635,6638,6639,6641,6643,6644,6645,6647,6649,6653,6659,6660,6662,6663,6669,6671,6713,6719,6734,6737,6738,6739,6776,6781,6783])).
% 202.92/202.85 cnf(12231,plain,
% 202.92/202.85 (P1(f318(f318(f225(f927(x122311,a918)),f318(f163(x122311),f318(f127(x122311,x122312),x122313))),f318(f163(x122311),x122313)))),
% 202.92/202.85 inference(rename_variables,[],[4155])).
% 202.92/202.85 cnf(12238,plain,
% 202.92/202.85 (P1(f318(f318(f226(a920),x122381),f318(a103,x122381)))),
% 202.92/202.85 inference(rename_variables,[],[3586])).
% 202.92/202.85 cnf(12241,plain,
% 202.92/202.85 (P1(f318(f318(f320(f927(x122411,a918)),x122412),f318(f299(x122411),x122412)))),
% 202.92/202.85 inference(rename_variables,[],[3878])).
% 202.92/202.85 cnf(12242,plain,
% 202.92/202.85 (~E(f318(a103,x122421),x122421)),
% 202.92/202.85 inference(rename_variables,[],[4661])).
% 202.92/202.85 cnf(12247,plain,
% 202.92/202.85 (P1(f318(f318(f225(a1),x122471),x122471))),
% 202.92/202.85 inference(rename_variables,[],[3519])).
% 202.92/202.85 cnf(12252,plain,
% 202.92/202.85 (P1(f318(f318(f225(a1),x122521),x122521))),
% 202.92/202.85 inference(rename_variables,[],[3519])).
% 202.92/202.85 cnf(12263,plain,
% 202.92/202.85 (P1(f318(f318(f225(f927(x122631,a918)),x122632),f318(f318(f300(x122631),x122633),x122632)))),
% 202.92/202.85 inference(rename_variables,[],[3959])).
% 202.92/202.85 cnf(12266,plain,
% 202.92/202.85 (P1(f318(f318(f225(a920),x122661),x122661))),
% 202.92/202.85 inference(rename_variables,[],[3518])).
% 202.92/202.85 cnf(12267,plain,
% 202.92/202.85 (~E(f318(a103,x122671),x122671)),
% 202.92/202.85 inference(rename_variables,[],[4661])).
% 202.92/202.85 cnf(12282,plain,
% 202.92/202.85 (~P1(f318(f318(f226(a920),x122821),x122821))),
% 202.92/202.85 inference(rename_variables,[],[4695])).
% 202.92/202.85 cnf(12283,plain,
% 202.92/202.85 (~E(f318(a103,x122831),x122831)),
% 202.92/202.85 inference(rename_variables,[],[4661])).
% 202.92/202.85 cnf(12286,plain,
% 202.92/202.85 (P1(f318(f318(f225(a920),x122861),x122861))),
% 202.92/202.85 inference(rename_variables,[],[3518])).
% 202.92/202.85 cnf(12289,plain,
% 202.92/202.85 (P1(f318(f318(f225(a920),x122891),x122891))),
% 202.92/202.85 inference(rename_variables,[],[3518])).
% 202.92/202.85 cnf(12292,plain,
% 202.92/202.85 (P1(f318(f318(f225(a920),x122921),x122921))),
% 202.92/202.85 inference(rename_variables,[],[3518])).
% 202.92/202.85 cnf(12295,plain,
% 202.92/202.85 (P1(f318(f318(f225(a920),x122951),x122951))),
% 202.92/202.85 inference(rename_variables,[],[3518])).
% 202.92/202.85 cnf(12297,plain,
% 202.92/202.85 (P1(f318(f318(f226(a920),f318(a95,f2(a1))),f318(a103,x122971)))),
% 202.92/202.85 inference(scs_inference,[],[3562,3753,4681,4682,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,10870,11183,11376,11379,11398,11401,11594,11695,11702,11716,11762,11765,11787,11804,11819,11882,11939,11955,12242,12267,3721,3439,4667,10716,10816,11286,4673,3127,3128,3131,3134,3135,3138,3139,3141,3145,3146,3150,3151,3153,3154,3156,3165,3166,3175,3176,3213,3219,3237,3243,3244,3257,3270,3273,3274,3277,3283,3299,3410,3313,4659,4076,11986,3363,11692,3479,10556,10559,10652,10655,10973,11707,11710,11830,11869,11874,3456,3971,3353,3715,4062,11738,3416,3349,3376,3372,3359,3983,3575,11133,3449,4144,4675,10547,10713,11591,3509,12067,4704,11312,11411,11647,11650,3622,3413,3414,10617,10949,3674,3331,3435,11728,4286,4146,11332,11463,11522,4722,11235,11476,11585,11611,11655,11661,4723,11365,11479,11588,4724,11482,4725,11540,4726,3434,3877,4557,4558,4672,3812,4026,3586,10636,10755,10836,10909,10912,10952,11052,11302,11916,12238,3964,11972,3502,3598,11803,4699,10524,10527,10553,10676,10854,11060,11075,11193,11633,11731,11915,12133,12138,4710,11846,11877,11912,11919,11952,3951,3722,4094,3546,3547,3521,4696,4669,3706,4711,4279,11608,3835,3557,12088,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,10859,11045,11289,11502,11797,11891,12037,12151,12154,4248,4155,11130,4202,3878,11923,4236,3895,10679,10776,11338,11416,11495,4714,11078,11487,3518,10645,10742,10821,10895,10959,11034,11081,11084,11115,11141,11177,11215,11254,12040,12085,12211,12266,12286,12289,12292,3519,10727,10964,11055,11180,11822,12116,12119,12130,12217,12228,12247,12252,3520,3594,4695,10564,10593,11099,11144,11153,12000,12021,12185,12188,12191,12194,3669,10824,10915,11188,11232,11466,11469,11548,11630,4706,11108,11118,11224,11245,11248,11315,11318,11329,11432,11442,11454,11490,11507,11516,11556,11597,11602,11605,11624,11627,11664,11669,11672,11675,11678,11922,12064,3579,10946,10976,10979,10988,10991,3618,3611,4030,3969,10596,11975,12003,4703,10544,10934,10937,11435,11451,11938,11991,12025,12148,12173,12176,12179,3539,10982,11138,11208,12004,3993,4327,4700,4038,4687,4691,3495,3499,4690,4688,3825,11968,4421,4716,10845,10848,4721,11321,11324,11510,11621,11638,4112,11681,12024,3959,11251,11257,11275,3809,11391,3961,10985,11354,11519,11553,3670,3776,10898,10901,10994,11164,4719,11969,4720,10735,4382,4290,3992,3937,4717,10569,10572,10940,10943,11843,4718,11949,3962,10904,4221,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497,6499,6505,6510,6544,6545,6548,6549,6550,6552,6553,6554,6555,6564,6597,6598,6607,6629,6630,6652,6654,6666,6667,6673,6703,6705,6720,6758,6761,6762,6820,6843,6888,6903,6910,6919,6920,6921,6922,6941,6942,6949,6961,6964,6966,6967,6968,6970,6972,6986,6997,6998,6999,7013,7070,7081,7083,7087,7106,7107,7142,7149,7154,7185,7215,7272,7301,7359,7380,7390,7394,7454,7464,7524,7526,7540,7549,7550,7551,7569,7573,7575,7620,7630,7633,7648,7695,7697,7700,7743,7744,7762,7832,7850,7875,7898,7910,7924,7935,7946,7947,7973,7975,7977,7986,8025,8037,8062,8089,8122,8154,8188,8227,8243,8245,8261,8262,8330,8341,8408,8432,8451,8478,8517,8518,8536,8575,8577,8579,8586,8601,8605,8620,8643,8651,8653,8663,8668,8672,8673,8674,8675,8676,8677,8699,8713,8714,8732,8733,8738,8739,8740,8741,8742,8760,8761,8762,8773,8786,8789,8800,8805,8807,8809,8810,8811,8818,8824,8832,8835,8852,8853,8862,8863,8871,8890,8903,8907,8928,8950,8951,8954,8955,8961,8971,8972,8995,9006,9016,9017,9018,9021,9044,9045,9056,9108,9118,9120,9136,9148,9149,9150,9161,9227,9258,9259,9260,9275,9292,9300,9328,9329,9400,9433,9439,9449,9450,9451,9461,9490,9506,9510,9514,9537,9538,9565,9630,9635,9638,9671,9672,9673,9697,9698,9714,9735,9741,9753,9778,9799,9808,9809,9810,9811,9827,9829,9834,9864,9865,9871,9872,9918,9919,9930,9931,9955,9974,9976,9977,9986,9991,10000,10025,10059,10061,10065,10115,10149,10159,10161,10165,10166,10168,10177,10178,10198,10203,10297,10384,10385,10386,10387,10449,10468,2,8,9,4746,4747,4765,4807,4808,4810,4833,4835,4836,4846,4891,4893,4941,5071,5072,5086,5110,5165,5166,5172,5173,5175,5177,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% 202.92/202.85 cnf(12298,plain,
% 202.92/202.85 (P1(f318(f318(f225(a1),x122981),x122981))),
% 202.92/202.85 inference(rename_variables,[],[3519])).
% 202.92/202.85 cnf(12301,plain,
% 202.92/202.85 (~P1(f318(f318(f226(a920),x123011),x123011))),
% 202.92/202.85 inference(rename_variables,[],[4695])).
% 202.92/202.85 cnf(12304,plain,
% 202.92/202.85 (~P1(f318(f318(f226(a920),x123041),x123041))),
% 202.92/202.85 inference(rename_variables,[],[4695])).
% 202.92/202.85 cnf(12305,plain,
% 202.92/202.85 (P1(f318(f318(f226(a920),x123051),f318(a103,x123051)))),
% 202.92/202.85 inference(rename_variables,[],[3586])).
% 202.92/202.85 cnf(12312,plain,
% 202.92/202.85 (~E(f318(a103,x123121),x123121)),
% 202.92/202.85 inference(rename_variables,[],[4661])).
% 202.92/202.85 cnf(12317,plain,
% 202.92/202.85 (~P1(f318(f318(f226(a920),x123171),x123171))),
% 202.92/202.85 inference(rename_variables,[],[4695])).
% 202.92/202.85 cnf(12318,plain,
% 202.92/202.85 (~E(f318(a103,x123181),x123181)),
% 202.92/202.85 inference(rename_variables,[],[4661])).
% 202.92/202.85 cnf(12321,plain,
% 202.92/202.85 (P1(f318(f318(f225(a1),x123211),x123211))),
% 202.92/202.85 inference(rename_variables,[],[3519])).
% 202.92/202.85 cnf(12338,plain,
% 202.92/202.85 (P1(f318(f318(f225(a1),x123381),x123381))),
% 202.92/202.85 inference(rename_variables,[],[3519])).
% 202.92/202.85 cnf(12343,plain,
% 202.92/202.85 (P1(f318(f318(f225(a920),f2(a920)),x123431))),
% 202.92/202.85 inference(rename_variables,[],[3539])).
% 202.92/202.85 cnf(12359,plain,
% 202.92/202.85 (~P1(f318(f318(f226(a920),x123591),f2(a920)))),
% 202.92/202.85 inference(rename_variables,[],[4699])).
% 202.92/202.85 cnf(12362,plain,
% 202.92/202.85 (~P1(f318(f318(f226(a920),x123621),f2(a920)))),
% 202.92/202.85 inference(rename_variables,[],[4699])).
% 202.92/202.85 cnf(12365,plain,
% 202.92/202.85 (~P1(f318(f318(f320(x123651),x123652),f179(f927(x123651,a918))))),
% 202.92/202.85 inference(rename_variables,[],[4706])).
% 202.92/202.85 cnf(12368,plain,
% 202.92/202.85 (~P1(f318(f318(f320(x123681),x123682),f179(f927(x123681,a918))))),
% 202.92/202.85 inference(rename_variables,[],[4706])).
% 202.92/202.85 cnf(12370,plain,
% 202.92/202.85 (~P1(f318(f318(f226(a920),x123701),f318(f318(f92(a920),x123702),x123701)))),
% 202.92/202.85 inference(scs_inference,[],[3562,3753,4681,4682,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,10870,11183,11376,11379,11398,11401,11594,11695,11702,11716,11762,11765,11787,11804,11819,11882,11939,11955,12242,12267,12283,12312,3721,3439,4667,10716,10816,11286,4673,3127,3128,3131,3134,3135,3138,3139,3141,3145,3146,3150,3151,3153,3154,3156,3165,3166,3175,3176,3213,3219,3237,3243,3244,3257,3270,3273,3274,3277,3283,3299,3410,3313,4659,4076,11986,3363,11692,3479,10556,10559,10652,10655,10973,11707,11710,11830,11869,11874,3456,3465,3971,4272,3353,3715,4062,11738,3416,3349,3376,3372,3359,3983,3575,11133,3449,4144,4675,10547,10713,11591,3509,12067,4704,11312,11411,11647,11650,3622,3413,3414,10617,10949,3674,3331,3435,11728,4286,4146,11332,11463,11522,4722,11235,11476,11585,11611,11655,11661,4723,11365,11479,11588,4724,11482,4725,11540,4726,3434,3877,4557,4558,4672,3812,4026,3586,10636,10755,10836,10909,10912,10952,11052,11302,11916,12238,3964,11972,3502,3598,11803,4699,10524,10527,10553,10676,10854,11060,11075,11193,11633,11731,11915,12133,12138,12359,4710,11846,11877,11912,11919,11952,3951,3722,4094,3546,3547,3521,4696,4669,3706,4711,4279,11608,3835,3557,12088,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,10859,11045,11289,11502,11797,11891,12037,12151,12154,4248,4155,11130,4202,3878,11923,4236,3895,10679,10776,11338,11416,11495,4714,11078,11487,3518,10645,10742,10821,10895,10959,11034,11081,11084,11115,11141,11177,11215,11254,12040,12085,12211,12266,12286,12289,12292,12295,3519,10727,10964,11055,11180,11822,12116,12119,12130,12217,12228,12247,12252,12298,12321,3520,3594,4695,10564,10593,11099,11144,11153,12000,12021,12185,12188,12191,12194,12282,12301,12304,12317,3669,10824,10915,11188,11232,11466,11469,11548,11630,4706,11108,11118,11224,11245,11248,11315,11318,11329,11432,11442,11454,11490,11507,11516,11556,11597,11602,11605,11624,11627,11664,11669,11672,11675,11678,11922,12064,12097,12365,3579,10946,10976,10979,10988,10991,3618,3611,4030,3969,10596,11975,12003,4703,10544,10934,10937,11435,11451,11938,11991,12025,12148,12173,12176,12179,12182,3539,10982,11138,11208,12004,12147,3993,4327,4700,4004,4038,4687,4691,3495,3499,4690,4688,3825,11968,4421,4716,10845,10848,4721,11321,11324,11510,11621,11638,4112,11681,12024,3959,11251,11257,11275,3809,11391,3961,10985,11354,11519,11553,3670,3776,10898,10901,10994,11164,4719,11969,4720,10735,4382,4290,3992,3937,4717,10569,10572,10940,10943,11843,4718,11949,3962,10904,4221,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497,6499,6505,6510,6544,6545,6548,6549,6550,6552,6553,6554,6555,6564,6597,6598,6607,6629,6630,6652,6654,6666,6667,6673,6703,6705,6720,6758,6761,6762,6820,6843,6888,6903,6910,6919,6920,6921,6922,6941,6942,6949,6961,6964,6966,6967,6968,6970,6972,6986,6997,6998,6999,7013,7070,7081,7083,7087,7106,7107,7142,7149,7154,7185,7215,7272,7301,7359,7380,7390,7394,7454,7464,7524,7526,7540,7549,7550,7551,7569,7573,7575,7620,7630,7633,7648,7695,7697,7700,7743,7744,7762,7832,7850,7875,7898,7910,7924,7935,7946,7947,7973,7975,7977,7986,8025,8037,8062,8089,8122,8154,8188,8227,8243,8245,8261,8262,8330,8341,8408,8432,8451,8478,8517,8518,8536,8575,8577,8579,8586,8601,8605,8620,8643,8651,8653,8663,8668,8672,8673,8674,8675,8676,8677,8699,8713,8714,8732,8733,8738,8739,8740,8741,8742,8760,8761,8762,8773,8786,8789,8800,8805,8807,8809,8810,8811,8818,8824,8832,8835,8852,8853,8862,8863,8871,8890,8903,8907,8928,8950,8951,8954,8955,8961,8971,8972,8995,9006,9016,9017,9018,9021,9044,9045,9056,9108,9118,9120,9136,9148,9149,9150,9161,9227,9258,9259,9260,9275,9292,9300,9328,9329,9400,9433,9439,9449,9450,9451,9461,9490,9506,9510,9514,9537,9538,9565,9630,9635,9638,9671,9672,9673,9697,9698,9714,9735,9741,9753,9778,9799,9808,9809,9810,9811,9827,9829,9834,9864,9865,9871,9872,9918,9919,9930,9931,9955,9974,9976,9977,9986,9991,10000,10025,10059,10061,10065,10115,10149,10159,10161,10165,10166,10168,10177,10178,10198,10203,10297,10384,10385,10386,10387,10449,10468,2,8,9,4746,4747,4765,4807,4808,4810,4833,4835,4836,4846,4891,4893,4941,5071,5072,5086,5110,5165,5166,5172,5173,5175,5177,5186,5189,5190,5198,5211,5212,5218,5239,5240,5261,5266,5267,5268,5269,5273,5281,5284,5292,5293,5294,5350,5355,5356,5361,5367,5397,5407,5412,5422,5440,5441,5448,5449,5451,5462,5480,5482,5483,5490,5497,5498,5510,5511,5512,5513,5515,5516,5521,5522,5523,5524,5554,5555,5556,5564,5565,5566,5567,5610,5615,5617,5653,5655,5656,5658,5659,5661,5662,5664,5673,5678,5679,5680,5682,5684,5685,5686,5687,5688,5689,5698,5708,5711,5722,5738,5739,5742,5753,5756,5757,5758,5785,5795,5811,5812,5821,5822,5824,5826,5831,5866,5871,5873,5932,5967,5968,5973,5979,5982,5983,5984,5985,6005,6010,6011,6020,6042,6075,6094,6095,6099,6100,6102,6125,6129,6132,6133,6134,6150,6165,6166,6198,6199,6203,6224,6227,6230,6252,6253,6281,6284,6293,6303,6311,6315,6323,6324,6325,6326,6358,6376,6428,6465,6467,6468,6490,6491,6498,6502,6503,6506,6521,6536,6557,6558,6565,6575,6590,6610,6617,6619,6634,6635,6638,6639,6641,6643,6644,6645,6647,6649,6653,6659,6660,6662,6663,6669,6671,6713,6719,6734,6737,6738,6739,6776,6781,6783,6788,6789,6799,6802,6815,6838,6839,6841,6842,6854,6860,6880,6883,6904,6923,6932,6935,6936,6937,6943,6957,6976,6978,6980,6982,6987,6993,6995,7010,7015,7016,7055,7056,7057,7072,7073,7075,7076,7097,7098,7113,7140,7162,7174,7176,7178,7180,7181,7212,7213,7214,7218,7219,7226])).
% 202.92/202.85 cnf(12371,plain,
% 202.92/202.85 (~P1(f318(f318(f226(a920),x123711),x123711))),
% 202.92/202.85 inference(rename_variables,[],[4695])).
% 202.92/202.85 cnf(12373,plain,
% 202.92/202.85 (~P1(f318(f318(f226(a920),x123731),f318(f318(f92(a920),x123731),x123732)))),
% 202.92/202.85 inference(scs_inference,[],[3562,3753,4681,4682,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,10870,11183,11376,11379,11398,11401,11594,11695,11702,11716,11762,11765,11787,11804,11819,11882,11939,11955,12242,12267,12283,12312,3721,3439,4667,10716,10816,11286,4673,3127,3128,3131,3134,3135,3138,3139,3141,3145,3146,3150,3151,3153,3154,3156,3165,3166,3175,3176,3213,3219,3237,3243,3244,3257,3270,3273,3274,3277,3283,3299,3410,3313,4659,4076,11986,3363,11692,3479,10556,10559,10652,10655,10973,11707,11710,11830,11869,11874,3456,3465,3971,4272,3353,3715,4062,11738,3416,3349,3376,3372,3359,3983,3575,11133,3449,4144,4675,10547,10713,11591,3509,12067,4704,11312,11411,11647,11650,3622,3413,3414,10617,10949,3674,3331,3435,11728,4286,4146,11332,11463,11522,4722,11235,11476,11585,11611,11655,11661,4723,11365,11479,11588,4724,11482,4725,11540,4726,3434,3877,4557,4558,4672,3812,4026,3586,10636,10755,10836,10909,10912,10952,11052,11302,11916,12238,3964,11972,3502,3598,11803,4699,10524,10527,10553,10676,10854,11060,11075,11193,11633,11731,11915,12133,12138,12359,4710,11846,11877,11912,11919,11952,3951,3722,4094,3546,3547,3521,4696,4669,3706,4711,4279,11608,3835,3557,12088,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,10859,11045,11289,11502,11797,11891,12037,12151,12154,4248,4155,11130,4202,3878,11923,4236,3895,10679,10776,11338,11416,11495,4714,11078,11487,3518,10645,10742,10821,10895,10959,11034,11081,11084,11115,11141,11177,11215,11254,12040,12085,12211,12266,12286,12289,12292,12295,3519,10727,10964,11055,11180,11822,12116,12119,12130,12217,12228,12247,12252,12298,12321,3520,3594,4695,10564,10593,11099,11144,11153,12000,12021,12185,12188,12191,12194,12282,12301,12304,12317,12371,3669,10824,10915,11188,11232,11466,11469,11548,11630,4706,11108,11118,11224,11245,11248,11315,11318,11329,11432,11442,11454,11490,11507,11516,11556,11597,11602,11605,11624,11627,11664,11669,11672,11675,11678,11922,12064,12097,12365,3579,10946,10976,10979,10988,10991,3618,3611,4030,3969,10596,11975,12003,4703,10544,10934,10937,11435,11451,11938,11991,12025,12148,12173,12176,12179,12182,3539,10982,11138,11208,12004,12147,3993,4327,4700,4004,4038,4687,4691,3495,3499,4690,4688,3825,11968,4421,4716,10845,10848,4721,11321,11324,11510,11621,11638,4112,11681,12024,3959,11251,11257,11275,3809,11391,3961,10985,11354,11519,11553,3670,3776,10898,10901,10994,11164,4719,11969,4720,10735,4382,4290,3992,3937,4717,10569,10572,10940,10943,11843,4718,11949,3962,10904,4221,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497,6499,6505,6510,6544,6545,6548,6549,6550,6552,6553,6554,6555,6564,6597,6598,6607,6629,6630,6652,6654,6666,6667,6673,6703,6705,6720,6758,6761,6762,6820,6843,6888,6903,6910,6919,6920,6921,6922,6941,6942,6949,6961,6964,6966,6967,6968,6970,6972,6986,6997,6998,6999,7013,7070,7081,7083,7087,7106,7107,7142,7149,7154,7185,7215,7272,7301,7359,7380,7390,7394,7454,7464,7524,7526,7540,7549,7550,7551,7569,7573,7575,7620,7630,7633,7648,7695,7697,7700,7743,7744,7762,7832,7850,7875,7898,7910,7924,7935,7946,7947,7973,7975,7977,7986,8025,8037,8062,8089,8122,8154,8188,8227,8243,8245,8261,8262,8330,8341,8408,8432,8451,8478,8517,8518,8536,8575,8577,8579,8586,8601,8605,8620,8643,8651,8653,8663,8668,8672,8673,8674,8675,8676,8677,8699,8713,8714,8732,8733,8738,8739,8740,8741,8742,8760,8761,8762,8773,8786,8789,8800,8805,8807,8809,8810,8811,8818,8824,8832,8835,8852,8853,8862,8863,8871,8890,8903,8907,8928,8950,8951,8954,8955,8961,8971,8972,8995,9006,9016,9017,9018,9021,9044,9045,9056,9108,9118,9120,9136,9148,9149,9150,9161,9227,9258,9259,9260,9275,9292,9300,9328,9329,9400,9433,9439,9449,9450,9451,9461,9490,9506,9510,9514,9537,9538,9565,9630,9635,9638,9671,9672,9673,9697,9698,9714,9735,9741,9753,9778,9799,9808,9809,9810,9811,9827,9829,9834,9864,9865,9871,9872,9918,9919,9930,9931,9955,9974,9976,9977,9986,9991,10000,10025,10059,10061,10065,10115,10149,10159,10161,10165,10166,10168,10177,10178,10198,10203,10297,10384,10385,10386,10387,10449,10468,2,8,9,4746,4747,4765,4807,4808,4810,4833,4835,4836,4846,4891,4893,4941,5071,5072,5086,5110,5165,5166,5172,5173,5175,5177,5186,5189,5190,5198,5211,5212,5218,5239,5240,5261,5266,5267,5268,5269,5273,5281,5284,5292,5293,5294,5350,5355,5356,5361,5367,5397,5407,5412,5422,5440,5441,5448,5449,5451,5462,5480,5482,5483,5490,5497,5498,5510,5511,5512,5513,5515,5516,5521,5522,5523,5524,5554,5555,5556,5564,5565,5566,5567,5610,5615,5617,5653,5655,5656,5658,5659,5661,5662,5664,5673,5678,5679,5680,5682,5684,5685,5686,5687,5688,5689,5698,5708,5711,5722,5738,5739,5742,5753,5756,5757,5758,5785,5795,5811,5812,5821,5822,5824,5826,5831,5866,5871,5873,5932,5967,5968,5973,5979,5982,5983,5984,5985,6005,6010,6011,6020,6042,6075,6094,6095,6099,6100,6102,6125,6129,6132,6133,6134,6150,6165,6166,6198,6199,6203,6224,6227,6230,6252,6253,6281,6284,6293,6303,6311,6315,6323,6324,6325,6326,6358,6376,6428,6465,6467,6468,6490,6491,6498,6502,6503,6506,6521,6536,6557,6558,6565,6575,6590,6610,6617,6619,6634,6635,6638,6639,6641,6643,6644,6645,6647,6649,6653,6659,6660,6662,6663,6669,6671,6713,6719,6734,6737,6738,6739,6776,6781,6783,6788,6789,6799,6802,6815,6838,6839,6841,6842,6854,6860,6880,6883,6904,6923,6932,6935,6936,6937,6943,6957,6976,6978,6980,6982,6987,6993,6995,7010,7015,7016,7055,7056,7057,7072,7073,7075,7076,7097,7098,7113,7140,7162,7174,7176,7178,7180,7181,7212,7213,7214,7218,7219,7226,7227])).
% 202.92/202.85 cnf(12374,plain,
% 202.92/202.85 (~P1(f318(f318(f226(a920),x123741),x123741))),
% 202.92/202.85 inference(rename_variables,[],[4695])).
% 202.92/202.85 cnf(12377,plain,
% 202.92/202.85 (~P1(f318(f318(f226(a920),x123771),x123771))),
% 202.92/202.85 inference(rename_variables,[],[4695])).
% 202.92/202.85 cnf(12380,plain,
% 202.92/202.85 (~P1(f318(f318(f226(a920),x123801),x123801))),
% 202.92/202.85 inference(rename_variables,[],[4695])).
% 202.92/202.85 cnf(12383,plain,
% 202.92/202.85 (P1(f318(f318(f226(a920),x123831),f318(a103,x123831)))),
% 202.92/202.85 inference(rename_variables,[],[3586])).
% 202.92/202.85 cnf(12390,plain,
% 202.92/202.85 (P1(f318(f318(f320(f927(x123901,a918)),x123902),f318(f299(x123901),x123902)))),
% 202.92/202.85 inference(rename_variables,[],[3878])).
% 202.92/202.85 cnf(12395,plain,
% 202.92/202.85 (P1(f318(f318(f225(f927(x123951,a918)),x123952),f318(f318(f300(x123951),x123953),x123952)))),
% 202.92/202.85 inference(rename_variables,[],[3959])).
% 202.92/202.85 cnf(12402,plain,
% 202.92/202.85 (~P1(f318(f318(f320(x124021),x124022),f179(f927(x124021,a918))))),
% 202.92/202.85 inference(rename_variables,[],[4706])).
% 202.92/202.85 cnf(12411,plain,
% 202.92/202.85 (P1(f318(f318(f225(f927(x124111,a918)),x124112),f233(f927(x124111,a918))))),
% 202.92/202.85 inference(rename_variables,[],[3895])).
% 202.92/202.85 cnf(12412,plain,
% 202.92/202.85 (~E(f318(a103,x124121),x124121)),
% 202.92/202.85 inference(rename_variables,[],[4661])).
% 202.92/202.85 cnf(12415,plain,
% 202.92/202.85 (P1(f318(f318(f225(f927(x124151,a918)),x124152),f233(f927(x124151,a918))))),
% 202.92/202.85 inference(rename_variables,[],[3895])).
% 202.92/202.85 cnf(12418,plain,
% 202.92/202.85 (P1(f318(f318(f225(f927(x124181,a918)),f318(f163(x124181),f318(f127(x124181,x124182),x124183))),f318(f163(x124181),x124183)))),
% 202.92/202.85 inference(rename_variables,[],[4155])).
% 202.92/202.85 cnf(12424,plain,
% 202.92/202.85 (P1(f318(f318(f226(a920),x124241),f318(a103,x124241)))),
% 202.92/202.85 inference(rename_variables,[],[3586])).
% 202.92/202.85 cnf(12432,plain,
% 202.92/202.85 (~P1(f318(f318(f320(f926(x124321,x124321)),x124322),f144(x124321,f104(f927(x124321,a920)))))),
% 202.92/202.85 inference(scs_inference,[],[3562,3753,4681,4682,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,10870,11183,11376,11379,11398,11401,11594,11695,11702,11716,11762,11765,11787,11804,11819,11882,11939,11955,12242,12267,12283,12312,12318,3721,3439,4667,10716,10816,11286,4673,3127,3128,3130,3131,3134,3135,3138,3139,3141,3145,3146,3150,3151,3153,3154,3156,3165,3166,3175,3176,3213,3219,3237,3243,3244,3257,3270,3273,3274,3277,3283,3299,3409,3410,3313,4659,4076,11986,3363,11692,3479,10556,10559,10652,10655,10973,11707,11710,11830,11869,11874,11981,3456,3465,3971,4272,3353,3715,4062,11738,3416,3349,3376,3372,3359,3983,3575,11133,3449,4144,4675,10547,10713,11591,3509,12067,4704,11312,11411,11647,11650,3622,3413,3414,10617,10949,3674,3331,3435,11728,4286,4146,11332,11463,11522,4722,11235,11476,11585,11611,11655,11661,4723,11365,11479,11588,4724,11482,4725,11540,4726,3434,3877,4557,4558,4672,3812,4026,3699,3954,3586,10636,10755,10836,10909,10912,10952,11052,11302,11916,12238,12305,12383,3964,11972,3502,3598,11803,3775,4699,10524,10527,10553,10676,10854,11060,11075,11193,11633,11731,11915,12133,12138,12359,4710,11846,11877,11912,11919,11952,3951,3722,4094,3546,3547,3521,4696,4669,3706,4711,4279,11608,3835,3557,12088,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,10859,11045,11289,11502,11797,11891,12037,12151,12154,4248,4155,11130,12231,4202,3878,11923,12241,4236,3895,10679,10776,11338,11416,11495,11559,12411,4714,11078,11487,3518,10645,10742,10821,10895,10959,11034,11081,11084,11115,11141,11177,11215,11254,12040,12085,12211,12266,12286,12289,12292,12295,3519,10727,10964,11055,11180,11822,12116,12119,12130,12217,12228,12247,12252,12298,12321,3520,3594,4695,10564,10593,11099,11144,11153,12000,12021,12185,12188,12191,12194,12282,12301,12304,12317,12371,12374,12377,3669,10824,10915,11188,11232,11466,11469,11548,11630,4706,11108,11118,11224,11245,11248,11315,11318,11329,11432,11442,11454,11490,11507,11516,11556,11597,11602,11605,11624,11627,11664,11669,11672,11675,11678,11922,12064,12097,12365,12368,3579,10946,10976,10979,10988,10991,3618,3611,4030,3969,10596,11975,12003,4703,10544,10934,10937,11435,11451,11938,11991,12025,12148,12173,12176,12179,12182,3539,10982,11138,11208,12004,12147,3993,4327,4700,4004,4038,4687,4691,3495,3499,4690,4688,3825,11968,4421,4716,10845,10848,4721,11321,11324,11510,11621,11638,4112,11681,12024,3959,11251,11257,11275,12263,3809,11391,3961,10985,11354,11519,11553,3670,3776,10898,10901,10994,11164,4719,11969,4720,10735,4382,4290,3992,3937,4717,10569,10572,10940,10943,11843,4718,11949,3962,10904,4221,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497,6499,6505,6510,6544,6545,6548,6549,6550,6552,6553,6554,6555,6564,6597,6598,6607,6629,6630,6652,6654,6666,6667,6673,6703,6705,6720,6758,6761,6762,6820,6843,6888,6903,6910,6919,6920,6921,6922,6941,6942,6949,6961,6964,6966,6967,6968,6970,6972,6986,6997,6998,6999,7013,7070,7081,7083,7087,7106,7107,7142,7149,7154,7185,7215,7272,7301,7359,7380,7390,7394,7454,7464,7524,7526,7540,7549,7550,7551,7569,7573,7575,7620,7630,7633,7648,7695,7697,7700,7743,7744,7762,7832,7850,7875,7898,7910,7924,7935,7946,7947,7973,7975,7977,7986,8025,8037,8062,8089,8122,8154,8188,8227,8243,8245,8261,8262,8330,8341,8408,8432,8451,8478,8517,8518,8536,8575,8577,8579,8586,8601,8605,8620,8643,8651,8653,8663,8668,8672,8673,8674,8675,8676,8677,8699,8713,8714,8732,8733,8738,8739,8740,8741,8742,8760,8761,8762,8773,8786,8789,8800,8805,8807,8809,8810,8811,8818,8824,8832,8835,8852,8853,8862,8863,8871,8890,8903,8907,8928,8950,8951,8954,8955,8961,8971,8972,8995,9006,9016,9017,9018,9021,9044,9045,9056,9108,9118,9120,9136,9148,9149,9150,9161,9227,9258,9259,9260,9275,9292,9300,9328,9329,9400,9433,9439,9449,9450,9451,9461,9490,9506,9510,9514,9537,9538,9565,9630,9635,9638,9671,9672,9673,9697,9698,9714,9735,9741,9753,9778,9799,9808,9809,9810,9811,9827,9829,9834,9864,9865,9871,9872,9918,9919,9930,9931,9955,9974,9976,9977,9986,9991,10000,10025,10059,10061,10065,10115,10149,10159,10161,101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% 202.92/202.85 cnf(12433,plain,
% 202.92/202.85 (E(f318(f275(x124331,x124331),f254(x124331,x124332)),x124332)),
% 202.92/202.85 inference(rename_variables,[],[3479])).
% 202.92/202.85 cnf(12444,plain,
% 202.92/202.85 (~P1(f318(f318(f225(a920),f318(a103,x124441)),x124441))),
% 202.92/202.85 inference(rename_variables,[],[4703])).
% 202.92/202.85 cnf(12445,plain,
% 202.92/202.85 (~P1(f318(f318(f226(a920),x124451),f2(a920)))),
% 202.92/202.85 inference(rename_variables,[],[4699])).
% 202.92/202.85 cnf(12448,plain,
% 202.92/202.85 (P1(f318(f55(x124481),f179(f927(x124481,a918))))),
% 202.92/202.85 inference(rename_variables,[],[3594])).
% 202.92/202.85 cnf(12449,plain,
% 202.92/202.85 (~P1(f318(f318(f320(x124491),x124492),f179(f927(x124491,a918))))),
% 202.92/202.85 inference(rename_variables,[],[4706])).
% 202.92/202.85 cnf(12456,plain,
% 202.92/202.85 (P1(f318(f318(f225(f927(x124561,a918)),f318(f163(x124561),f167(x124561,x124562,x124563))),f318(f163(x124561),x124562)))),
% 202.92/202.85 inference(rename_variables,[],[4202])).
% 202.92/202.85 cnf(12459,plain,
% 202.92/202.85 (P25(x124591,x124591,f7(x124591),x124592)),
% 202.92/202.85 inference(rename_variables,[],[3753])).
% 202.92/202.85 cnf(12464,plain,
% 202.92/202.85 (P1(f318(f318(f320(f927(x124641,a918)),x124642),f318(f299(x124641),x124642)))),
% 202.92/202.85 inference(rename_variables,[],[3878])).
% 202.92/202.85 cnf(12473,plain,
% 202.92/202.85 (P1(f318(f318(f225(a920),x124731),x124731))),
% 202.92/202.85 inference(rename_variables,[],[3518])).
% 202.92/202.85 cnf(12476,plain,
% 202.92/202.85 (~P1(f318(f318(f320(x124761),x124762),f179(f927(x124761,a918))))),
% 202.92/202.85 inference(rename_variables,[],[4706])).
% 202.92/202.85 cnf(12479,plain,
% 202.92/202.85 (P1(f318(f318(f225(f927(x124791,a918)),x124792),f318(f318(f300(x124791),x124793),x124792)))),
% 202.92/202.85 inference(rename_variables,[],[3959])).
% 202.92/202.85 cnf(12480,plain,
% 202.92/202.85 (P1(f318(f318(f225(f927(x124801,a918)),x124802),f233(f927(x124801,a918))))),
% 202.92/202.85 inference(rename_variables,[],[3895])).
% 202.92/202.85 cnf(12487,plain,
% 202.92/202.85 (P1(f318(f318(f225(a920),x124871),x124871))),
% 202.92/202.85 inference(rename_variables,[],[3518])).
% 202.92/202.85 cnf(12490,plain,
% 202.92/202.85 (P1(f318(f318(f225(a920),x124901),x124901))),
% 202.92/202.85 inference(rename_variables,[],[3518])).
% 202.92/202.85 cnf(12493,plain,
% 202.92/202.85 (P1(f318(f318(f225(a920),x124931),x124931))),
% 202.92/202.85 inference(rename_variables,[],[3518])).
% 202.92/202.85 cnf(12496,plain,
% 202.92/202.85 (P1(f318(f318(f225(a920),x124961),x124961))),
% 202.92/202.85 inference(rename_variables,[],[3518])).
% 202.92/202.85 cnf(12499,plain,
% 202.92/202.85 (P1(f318(f318(f226(a920),x124991),f318(a103,x124991)))),
% 202.92/202.85 inference(rename_variables,[],[3586])).
% 202.92/202.85 cnf(12502,plain,
% 202.92/202.85 (P1(f318(f318(f226(a920),x125021),f318(a103,x125021)))),
% 202.92/202.85 inference(rename_variables,[],[3586])).
% 202.92/202.85 cnf(12505,plain,
% 202.92/202.85 (P1(f318(f318(f278(a920),x125051),x125051))),
% 202.92/202.85 inference(rename_variables,[],[3520])).
% 202.92/202.85 cnf(12508,plain,
% 202.92/202.85 (P1(f318(f318(f278(a920),x125081),x125081))),
% 202.92/202.85 inference(rename_variables,[],[3520])).
% 202.92/202.85 cnf(12511,plain,
% 202.92/202.85 (P1(f318(f318(f225(f927(x125111,a918)),x125112),x125112))),
% 202.92/202.85 inference(rename_variables,[],[3809])).
% 202.92/202.85 cnf(12513,plain,
% 202.92/202.85 (~P1(f318(f318(f225(a1),f318(f318(f3(a1),a76),a88)),f2(a1)))),
% 202.92/202.85 inference(scs_inference,[],[3562,3753,11406,4681,4682,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,10870,11183,11376,11379,11398,11401,11594,11695,11702,11716,11762,11765,11787,11804,11819,11882,11939,11955,12242,12267,12283,12312,12318,3721,3439,4667,10716,10816,11286,4673,3127,3128,3130,3131,3134,3135,3137,3138,3139,3141,3145,3146,3150,3151,3153,3154,3156,3165,3166,3175,3176,3210,3213,3219,3237,3243,3244,3257,3270,3273,3274,3277,3283,3299,3409,3410,3313,4659,4076,11986,3363,11692,3479,10556,10559,10652,10655,10973,11707,11710,11830,11869,11874,11981,3456,3465,3971,4272,3353,3715,4062,11738,3416,3349,3376,3372,3359,3983,3575,11133,3449,4144,4675,10547,10713,11591,3509,12067,4704,11312,11411,11647,11650,3622,3413,3414,10617,10949,3674,3331,3435,11728,4286,4146,11332,11463,11522,4722,11235,11476,11585,11611,11655,11661,4723,11365,11479,11588,4724,11482,4725,11540,4726,3434,3877,4557,4558,4672,3812,4026,3699,3954,3586,10636,10755,10836,10909,10912,10952,11052,11302,11916,12238,12305,12383,12424,12499,3964,11972,3502,3598,11803,3775,4699,10524,10527,10553,10676,10854,11060,11075,11193,11633,11731,11915,12133,12138,12359,12362,4710,11846,11877,11912,11919,11952,3951,3722,4094,3546,3547,3521,4696,4669,3706,4711,4279,11608,3835,3557,12088,12091,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,10859,11045,11289,11502,11797,11891,12037,12151,12154,4248,4155,11130,12231,4202,11335,3878,11923,12241,12390,4236,3895,10679,10776,11338,11416,11495,11559,12411,12415,4714,11078,11487,3518,10645,10742,10821,10895,10959,11034,11081,11084,11115,11141,11177,11215,11254,12040,12085,12211,12266,12286,12289,12292,12295,12473,12487,12490,12493,3519,10727,10964,11055,11180,11822,12116,12119,12130,12217,12228,12247,12252,12298,12321,3520,12505,3594,12448,4695,10564,10593,11099,11144,11153,12000,12021,12185,12188,12191,12194,12282,12301,12304,12317,12371,12374,12377,3669,10824,10915,11188,11232,11466,11469,11548,11630,4706,11108,11118,11224,11245,11248,11315,11318,11329,11432,11442,11454,11490,11507,11516,11556,11597,11602,11605,11624,11627,11664,11669,11672,11675,11678,11922,12064,12097,12365,12368,12402,12449,3579,10946,10976,10979,10988,10991,3618,3611,4030,3969,10596,11975,12003,4703,10544,10934,10937,11435,11451,11938,11991,12025,12148,12173,12176,12179,12182,3539,10982,11138,11208,12004,12147,3993,4327,4700,4004,4038,4687,4691,3495,3499,4690,4688,3825,11968,4421,4716,10845,10848,4721,11321,11324,11510,11621,11638,4112,11681,12024,3959,11251,11257,11275,12263,12395,3809,11391,11513,3961,10985,11354,11519,11553,3670,3776,10898,10901,10994,11164,4719,11969,4720,10735,4382,4290,3992,3937,4717,10569,10572,10940,10943,11843,4718,11949,3962,10904,4221,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497,6499,6505,6510,6544,6545,6548,6549,6550,6552,6553,6554,6555,6564,6597,6598,6607,6629,6630,6652,6654,6666,6667,6673,6703,6705,6720,6758,6761,6762,6820,6843,6888,6903,6910,6919,6920,6921,6922,6941,6942,6949,6961,6964,6966,6967,6968,6970,6972,6986,6997,6998,6999,7013,7070,7081,7083,7087,7106,7107,7142,7149,7154,7185,7215,7272,7301,7359,7380,7390,7394,7454,7464,7524,7526,7540,7549,7550,7551,7569,7573,7575,7620,7630,7633,7648,7695,7697,7700,7743,7744,7762,7832,7850,7875,7898,7910,7924,7935,7946,7947,7973,7975,7977,7986,8025,8037,8062,8089,8122,8154,8188,8227,8243,8245,8261,8262,8330,8341,8408,8432,8451,8478,8517,8518,8536,8575,8577,8579,8586,8601,8605,8620,8643,8651,8653,8663,8668,8672,8673,8674,8675,8676,8677,8699,8713,8714,8732,8733,8738,8739,8740,8741,8742,8760,8761,8762,8773,8786,8789,8800,8805,8807,8809,8810,8811,8818,8824,8832,8835,8852,8853,8862,8863,8871,8890,8903,8907,8928,8950,8951,8954,8955,8961,8971,8972,8995,9006,9016,9017,9018,9021,9044,9045,9056,9108,9118,9120,9136,9148,9149,9150,9161,9227,9258,9259,9260,9275,9292,9300,9328,9329,9400,9433,9439,9449,9450,9451,9461,9490,9506,9510,9514,9537,9538,9565,9630,9635,9638,9671,9672,9673,9697,9698,9714,9735,9741,9753,9778,9799,9808,9809,9810,9811,9827,9829,9834,9864,9865,9871,9872,9918,9919,9930,9931,9955,9974,9976,9977,9986,9991,10000,10025,10059,10061,10065,10115,10149,10159,10161,10165,10166,10168,10177,10178,10198,10203,10297,10384,10385,10386,10387,10449,10468,2,8,9,4746,4747,4765,4807,4808,4810,4833,4835,4836,4846,4891,4893,4941,5071,5072,5086,5110,5165,5166,5172,5173,5175,5177,5186,5189,5190,5198,5211,5212,5218,5239,5240,5261,5266,5267,5268,5269,5273,5281,5284,5292,5293,5294,5350,5355,5356,5361,5367,5397,5407,5412,5422,5440,5441,5448,5449,5451,5462,5480,5482,5483,5490,5497,5498,5510,5511,5512,5513,5515,5516,5521,5522,5523,5524,5554,5555,5556,5564,5565,5566,5567,5610,5615,5617,5653,5655,5656,5658,5659,5661,5662,5664,5673,5678,5679,5680,5682,5684,5685,5686,5687,5688,5689,5698,5708,5711,5722,5738,5739,5742,5753,5756,5757,5758,5785,5795,5811,5812,5821,5822,5824,5826,5831,5866,5871,5873,5932,5967,5968,5973,5979,5982,5983,5984,5985,6005,6010,6011,6020,6042,6075,6094,6095,6099,6100,6102,6125,6129,6132,6133,6134,6150,6165,6166,6198,6199,6203,6224,6227,6230,6252,6253,6281,6284,6293,6303,6311,6315,6323,6324,6325,6326,6358,6376,6428,6465,6467,6468,6490,6491,6498,6502,6503,6506,6521,6536,6557,6558,6565,6575,6590,6610,6617,6619,6634,6635,6638,6639,6641,6643,6644,6645,6647,6649,6653,6659,6660,6662,6663,6669,6671,6713,6719,6734,6737,6738,6739,6776,6781,6783,6788,6789,6799,6802,6815,6838,6839,6841,6842,6854,6860,6880,6883,6904,6923,6932,6935,6936,6937,6943,6957,6976,6978,6980,6982,6987,6993,6995,7010,7015,7016,7055,7056,7057,7072,7073,7075,7076,7097,7098,7113,7140,7162,7174,7176,7178,7180,7181,7212,7213,7214,7218,7219,7226,7227,7229,7231,7253,7263,7264,7275,7285,7325,7336,7342,7349,7360,7365,7367,7374,7383,7384,7398,7415,7436,7438,7457,7510,7511,7512,7514,7516,7520,7525,7588,7616,7631,7647,7678,7681,7688,7703,7727,7745,7748,7749,7759,7779,7781,7783,7785,7786,7787,7788,7789,7814,7840])).
% 202.92/202.85 cnf(12518,plain,
% 202.92/202.85 (P1(f318(f318(f320(f927(x125181,a918)),x125182),f318(f299(x125181),x125182)))),
% 202.92/202.85 inference(rename_variables,[],[3878])).
% 202.92/202.85 cnf(12524,plain,
% 202.92/202.85 (~P1(f318(f318(f226(a1),f318(f318(f73(a1),a76),a76)),f2(a1)))),
% 202.92/202.85 inference(scs_inference,[],[3562,3753,11406,4681,4682,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,10870,11183,11376,11379,11398,11401,11594,11695,11702,11716,11762,11765,11787,11804,11819,11882,11939,11955,12242,12267,12283,12312,12318,3721,3439,4667,10716,10816,11286,4673,3127,3128,3130,3131,3134,3135,3137,3138,3139,3141,3145,3146,3150,3151,3153,3154,3156,3165,3166,3175,3176,3210,3213,3219,3237,3243,3244,3257,3270,3273,3274,3277,3283,3299,3409,3410,3313,4659,4076,11986,3363,11692,3479,10556,10559,10652,10655,10973,11707,11710,11830,11869,11874,11981,3456,3465,3971,4272,3353,3715,4062,11738,3416,3349,3376,3372,3359,3983,3575,11133,3449,4144,4675,10547,10713,11591,3509,12067,4704,11312,11411,11647,11650,3622,3413,3414,10617,10949,3674,3331,3435,11728,4286,4146,11332,11463,11522,4722,11235,11476,11585,11611,11655,11661,4723,11365,11479,11588,4724,11482,4725,11540,4726,3434,3877,4557,4558,4672,3812,4026,3699,3954,3586,10636,10755,10836,10909,10912,10952,11052,11302,11916,12238,12305,12383,12424,12499,3964,11972,3502,3598,11803,3775,4699,10524,10527,10553,10676,10854,11060,11075,11193,11633,11731,11915,12133,12138,12359,12362,4710,11846,11877,11912,11919,11952,3951,3722,4094,3546,3547,3521,4696,4669,3706,4711,4279,11608,3835,3557,12088,12091,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,10859,11045,11289,11502,11797,11891,12037,12151,12154,4248,4155,11130,12231,4202,11335,3878,11923,12241,12390,12464,4236,3895,10679,10776,11338,11416,11495,11559,12411,12415,4714,11078,11487,3518,10645,10742,10821,10895,10959,11034,11081,11084,11115,11141,11177,11215,11254,12040,12085,12211,12266,12286,12289,12292,12295,12473,12487,12490,12493,3519,10727,10964,11055,11180,11822,12116,12119,12130,12217,12228,12247,12252,12298,12321,3520,12505,3594,12448,4695,10564,10593,11099,11144,11153,12000,12021,12185,12188,12191,12194,12282,12301,12304,12317,12371,12374,12377,3669,10824,10915,11188,11232,11466,11469,11548,11630,4706,11108,11118,11224,11245,11248,11315,11318,11329,11432,11442,11454,11490,11507,11516,11556,11597,11602,11605,11624,11627,11664,11669,11672,11675,11678,11922,12064,12097,12365,12368,12402,12449,3579,10946,10976,10979,10988,10991,3618,3611,4030,3969,10596,11975,12003,4703,10544,10934,10937,11435,11451,11938,11991,12025,12148,12173,12176,12179,12182,3539,10982,11138,11208,12004,12147,3993,4327,4700,4004,4038,4687,4691,3495,3499,4690,4688,3825,11968,4421,4716,10845,10848,4721,11321,11324,11510,11621,11638,4112,11681,12024,3959,11251,11257,11275,12263,12395,3809,11391,11513,3961,10985,11354,11519,11553,3670,3776,10898,10901,10994,11164,4719,11969,4720,10735,4382,4290,3992,3937,4717,10569,10572,10940,10943,11843,4718,11949,3962,10904,4221,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497,6499,6505,6510,6544,6545,6548,6549,6550,6552,6553,6554,6555,6564,6597,6598,6607,6629,6630,6652,6654,6666,6667,6673,6703,6705,6720,6758,6761,6762,6820,6843,6888,6903,6910,6919,6920,6921,6922,6941,6942,6949,6961,6964,6966,6967,6968,6970,6972,6986,6997,6998,6999,7013,7070,7081,7083,7087,7106,7107,7142,7149,7154,7185,7215,7272,7301,7359,7380,7390,7394,7454,7464,7524,7526,7540,7549,7550,7551,7569,7573,7575,7620,7630,7633,7648,7695,7697,7700,7743,7744,7762,7832,7850,7875,7898,7910,7924,7935,7946,7947,7973,7975,7977,7986,8025,8037,8062,8089,8122,8154,8188,8227,8243,8245,8261,8262,8330,8341,8408,8432,8451,8478,8517,8518,8536,8575,8577,8579,8586,8601,8605,8620,8643,8651,8653,8663,8668,8672,8673,8674,8675,8676,8677,8699,8713,8714,8732,8733,8738,8739,8740,8741,8742,8760,8761,8762,8773,8786,8789,8800,8805,8807,8809,8810,8811,8818,8824,8832,8835,8852,8853,8862,8863,8871,8890,8903,8907,8928,8950,8951,8954,8955,8961,8971,8972,8995,9006,9016,9017,9018,9021,9044,9045,9056,9108,9118,9120,9136,9148,9149,9150,9161,9227,9258,9259,9260,9275,9292,9300,9328,9329,9400,9433,9439,9449,9450,9451,9461,9490,9506,9510,9514,9537,9538,9565,9630,9635,9638,9671,9672,9673,9697,9698,9714,9735,9741,9753,9778,9799,9808,9809,9810,9811,9827,9829,9834,9864,9865,9871,9872,9918,9919,9930,9931,9955,9974,9976,9977,9986,9991,10000,10025,10059,10061,10065,10115,10149,10159,10161,10165,10166,10168,10177,10178,10198,10203,10297,10384,10385,10386,10387,10449,10468,2,8,9,4746,4747,4765,4807,4808,4810,4833,4835,4836,4846,4891,4893,4941,5071,5072,5086,5110,5165,5166,5172,5173,5175,5177,5186,5189,5190,5198,5211,5212,5218,5239,5240,5261,5266,5267,5268,5269,5273,5281,5284,5292,5293,5294,5350,5355,5356,5361,5367,5397,5407,5412,5422,5440,5441,5448,5449,5451,5462,5480,5482,5483,5490,5497,5498,5510,5511,5512,5513,5515,5516,5521,5522,5523,5524,5554,5555,5556,5564,5565,5566,5567,5610,5615,5617,5653,5655,5656,5658,5659,5661,5662,5664,5673,5678,5679,5680,5682,5684,5685,5686,5687,5688,5689,5698,5708,5711,5722,5738,5739,5742,5753,5756,5757,5758,5785,5795,5811,5812,5821,5822,5824,5826,5831,5866,5871,5873,5932,5967,5968,5973,5979,5982,5983,5984,5985,6005,6010,6011,6020,6042,6075,6094,6095,6099,6100,6102,6125,6129,6132,6133,6134,6150,6165,6166,6198,6199,6203,6224,6227,6230,6252,6253,6281,6284,6293,6303,6311,6315,6323,6324,6325,6326,6358,6376,6428,6465,6467,6468,6490,6491,6498,6502,6503,6506,6521,6536,6557,6558,6565,6575,6590,6610,6617,6619,6634,6635,6638,6639,6641,6643,6644,6645,6647,6649,6653,6659,6660,6662,6663,6669,6671,6713,6719,6734,6737,6738,6739,6776,6781,6783,6788,6789,6799,6802,6815,6838,6839,6841,6842,6854,6860,6880,6883,6904,6923,6932,6935,6936,6937,6943,6957,6976,6978,6980,6982,6987,6993,6995,7010,7015,7016,7055,7056,7057,7072,7073,7075,7076,7097,7098,7113,7140,7162,7174,7176,7178,7180,7181,7212,7213,7214,7218,7219,7226,7227,7229,7231,7253,7263,7264,7275,7285,7325,7336,7342,7349,7360,7365,7367,7374,7383,7384,7398,7415,7436,7438,7457,7510,7511,7512,7514,7516,7520,7525,7588,7616,7631,7647,7678,7681,7688,7703,7727,7745,7748,7749,7759,7779,7781,7783,7785,7786,7787,7788,7789,7814,7840,7841,7874,7876,7877,7878])).
% 202.92/202.85 cnf(12527,plain,
% 202.92/202.85 (~E(f318(a103,x125271),x125271)),
% 202.92/202.85 inference(rename_variables,[],[4661])).
% 202.92/202.85 cnf(12528,plain,
% 202.92/202.85 (E(f318(f301(x125281,x125281,f7(x125281)),x125282),x125282)),
% 202.92/202.85 inference(rename_variables,[],[3575])).
% 202.92/202.85 cnf(12531,plain,
% 202.92/202.85 (P34(x125311,x125312,f104(x125311),f104(x125311))),
% 202.92/202.85 inference(rename_variables,[],[3762])).
% 202.92/202.85 cnf(12534,plain,
% 202.92/202.85 (P1(f318(f318(f225(f927(x125341,a918)),f318(f163(x125341),f167(x125341,x125342,x125343))),f318(f163(x125341),x125342)))),
% 202.92/202.85 inference(rename_variables,[],[4202])).
% 202.92/202.85 cnf(12535,plain,
% 202.92/202.85 (P1(f318(f55(x125351),f318(f163(x125351),x125352)))),
% 202.92/202.85 inference(rename_variables,[],[3557])).
% 202.92/202.85 cnf(12546,plain,
% 202.92/202.85 (~P1(f318(f318(f226(a920),x125461),x125461))),
% 202.92/202.85 inference(rename_variables,[],[4695])).
% 202.92/202.85 cnf(12549,plain,
% 202.92/202.85 (~P1(f318(f318(f226(a920),x125491),x125491))),
% 202.92/202.85 inference(rename_variables,[],[4695])).
% 202.92/202.85 cnf(12554,plain,
% 202.92/202.85 (P1(f318(f318(f225(a920),f2(a920)),x125541))),
% 202.92/202.85 inference(rename_variables,[],[3539])).
% 202.92/202.85 cnf(12561,plain,
% 202.92/202.85 (P13(a920,f318(f159(a920),f318(f318(f145(f921(x125611),a920),f180(f921(x125611))),f170(x125611,x125612))))),
% 202.92/202.85 inference(rename_variables,[],[4072])).
% 202.92/202.85 cnf(12564,plain,
% 202.92/202.85 (P25(x125641,x125641,f7(x125641),x125642)),
% 202.92/202.85 inference(rename_variables,[],[3753])).
% 202.92/202.85 cnf(12567,plain,
% 202.92/202.85 (P25(x125671,x125671,f7(x125671),x125672)),
% 202.92/202.85 inference(rename_variables,[],[3753])).
% 202.92/202.85 cnf(12570,plain,
% 202.92/202.85 (P1(f318(f318(f320(f921(x125701)),f104(x125701)),f152(x125701,x125702)))),
% 202.92/202.85 inference(rename_variables,[],[3713])).
% 202.92/202.85 cnf(12573,plain,
% 202.92/202.85 (~P1(f318(f318(f179(f927(x125731,f927(x125732,a918))),x125733),x125734))),
% 202.92/202.85 inference(rename_variables,[],[4720])).
% 202.92/202.85 cnf(12578,plain,
% 202.92/202.85 (P1(f318(f318(f225(a920),x125781),x125781))),
% 202.92/202.85 inference(rename_variables,[],[3518])).
% 202.92/202.85 cnf(12579,plain,
% 202.92/202.85 (P1(f318(f318(f225(a920),f2(a920)),x125791))),
% 202.92/202.85 inference(rename_variables,[],[3539])).
% 202.92/202.85 cnf(12581,plain,
% 202.92/202.85 (P1(f318(f318(f225(a1),f2(a1)),f370(x125811,f179(f927(x125812,f927(x125813,a918))),f71(a1))))),
% 202.92/202.85 inference(scs_inference,[],[3562,3753,11406,12459,12564,3762,4681,4682,4680,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,10870,11183,11376,11379,11398,11401,11594,11695,11702,11716,11762,11765,11787,11804,11819,11882,11939,11955,12242,12267,12283,12312,12318,12412,3721,3439,4667,10716,10816,11286,4673,3127,3128,3130,3131,3134,3135,3137,3138,3139,3141,3145,3146,3150,3151,3153,3154,3156,3165,3166,3175,3176,3210,3213,3219,3237,3243,3244,3257,3270,3273,3274,3277,3283,3299,3409,3410,3313,4659,4076,11986,3363,11692,3479,10556,10559,10652,10655,10973,11707,11710,11830,11869,11874,11981,3456,3465,3971,4272,3353,3715,4062,11738,3416,3349,3376,3372,3359,3983,3396,3575,11133,11260,3449,4144,4675,10547,10713,11591,3509,12067,4704,11312,11411,11647,11650,3622,3413,3414,10617,10949,3674,3331,3435,11728,4286,4146,11332,11463,11522,4722,11235,11476,11585,11611,11655,11661,4723,11365,11479,11588,4724,11482,4725,11540,4726,3434,3713,3877,4557,4558,4672,3812,4026,4072,3699,3954,3586,10636,10755,10836,10909,10912,10952,11052,11302,11916,12238,12305,12383,12424,12499,3964,11972,3502,3598,11803,3775,4699,10524,10527,10553,10676,10854,11060,11075,11193,11633,11731,11915,12133,12138,12359,12362,12445,4710,11846,11877,11912,11919,11952,3951,3722,4094,3546,3547,3521,4696,4669,3706,4711,4279,11608,3835,3557,12088,12091,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,10859,11045,11289,11502,11797,11891,12037,12151,12154,4248,4155,11130,12231,4202,11335,12456,3878,11923,12241,12390,12464,4236,3895,10679,10776,11338,11416,11495,11559,12411,12415,4714,11078,11487,3518,10645,10742,10821,10895,10959,11034,11081,11084,11115,11141,11177,11215,11254,12040,12085,12211,12266,12286,12289,12292,12295,12473,12487,12490,12493,12496,3519,10727,10964,11055,11180,11822,12116,12119,12130,12217,12228,12247,12252,12298,12321,3520,12505,3594,12448,4695,10564,10593,11099,11144,11153,12000,12021,12185,12188,12191,12194,12282,12301,12304,12317,12371,12374,12377,12380,12546,3669,10824,10915,11188,11232,11466,11469,11548,11630,11807,4706,11108,11118,11224,11245,11248,11315,11318,11329,11432,11442,11454,11490,11507,11516,11556,11597,11602,11605,11624,11627,11664,11669,11672,11675,11678,11922,12064,12097,12365,12368,12402,12449,3579,10946,10976,10979,10988,10991,3618,3611,4030,3969,10596,11975,12003,4703,10544,10934,10937,11435,11451,11938,11991,12025,12148,12173,12176,12179,12182,12444,3539,10982,11138,11208,12004,12147,12343,12554,3993,4327,4700,4004,4038,4687,4691,3495,3499,4690,4688,3825,11968,4421,4716,10845,10848,4721,11321,11324,11510,11621,11638,4112,11681,12024,3959,11251,11257,11275,12263,12395,3809,11391,11513,3961,10985,11354,11519,11553,3670,3776,10898,10901,10994,11164,4719,11969,4720,10735,10851,12573,4382,4290,3992,3937,4717,10569,10572,10940,10943,11843,4718,11949,3962,10904,4221,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497,6499,6505,6510,6544,6545,6548,6549,6550,6552,6553,6554,6555,6564,6597,6598,6607,6629,6630,6652,6654,6666,6667,6673,6703,6705,6720,6758,6761,6762,6820,6843,6888,6903,6910,6919,6920,6921,6922,6941,6942,6949,6961,6964,6966,6967,6968,6970,6972,6986,6997,6998,6999,7013,7070,7081,7083,7087,7106,7107,7142,7149,7154,7185,7215,7272,7301,7359,7380,7390,7394,7454,7464,7524,7526,7540,7549,7550,7551,7569,7573,7575,7620,7630,7633,7648,7695,7697,7700,7743,7744,7762,7832,7850,7875,7898,7910,7924,7935,7946,7947,7973,7975,7977,7986,8025,8037,8062,8089,8122,8154,8188,8227,8243,8245,8261,8262,8330,8341,8408,8432,8451,8478,8517,8518,8536,8575,8577,8579,8586,8601,8605,8620,8643,8651,8653,8663,8668,8672,8673,8674,8675,8676,8677,8699,8713,8714,8732,8733,8738,8739,8740,8741,8742,8760,8761,8762,8773,8786,8789,8800,8805,8807,8809,8810,8811,8818,8824,8832,8835,8852,8853,8862,8863,8871,8890,8903,8907,8928,8950,8951,8954,8955,8961,8971,8972,8995,9006,9016,9017,9018,9021,9044,9045,9056,9108,9118,9120,9136,9148,9149,9150,9161,9227,9258,9259,9260,9275,9292,9300,9328,9329,9400,9433,9439,9449,9450,9451,9461,9490,9506,9510,9514,9537,953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% 202.92/202.85 cnf(12582,plain,
% 202.92/202.85 (~P1(f318(f318(f179(f927(x125821,f927(x125822,a918))),x125823),x125824))),
% 202.92/202.85 inference(rename_variables,[],[4720])).
% 202.92/202.85 cnf(12585,plain,
% 202.92/202.85 (P1(f318(f318(f225(f927(f926(f921(x125851),f921(x125851)),a918)),f149(x125851,x125852)),f298(f921(x125851),f148(x125851,x125852))))),
% 202.92/202.85 inference(rename_variables,[],[4207])).
% 202.92/202.85 cnf(12591,plain,
% 202.92/202.85 (P1(f318(f318(f225(f927(x125911,a918)),f318(f301(x125912,x125911,x125913),f318(f302(x125912,x125911,x125913),x125914))),x125914))),
% 202.92/202.85 inference(rename_variables,[],[4382])).
% 202.92/202.85 cnf(12594,plain,
% 202.92/202.85 (P1(f318(f318(f225(f927(x125941,a918)),f318(f163(x125941),f167(x125941,x125942,x125943))),f318(f163(x125941),x125942)))),
% 202.92/202.85 inference(rename_variables,[],[4202])).
% 202.92/202.85 cnf(12595,plain,
% 202.92/202.85 (P1(f318(f318(f225(f927(x125951,a918)),f318(f163(x125951),f318(f127(x125951,x125952),x125953))),f318(f163(x125951),x125953)))),
% 202.92/202.85 inference(rename_variables,[],[4155])).
% 202.92/202.85 cnf(12598,plain,
% 202.92/202.85 (~P1(f318(f318(f226(f927(x125981,a918)),x125982),f179(f927(x125981,a918))))),
% 202.92/202.85 inference(rename_variables,[],[4714])).
% 202.92/202.85 cnf(12606,plain,
% 202.92/202.85 (P1(f318(f318(f225(f927(x126061,a918)),f318(f301(x126062,x126061,x126063),f318(f302(x126062,x126061,x126063),x126064))),x126064))),
% 202.92/202.85 inference(rename_variables,[],[4382])).
% 202.92/202.85 cnf(12611,plain,
% 202.92/202.85 (P1(f318(f318(f320(f921(x126111)),f104(x126111)),f152(x126111,x126112)))),
% 202.92/202.85 inference(rename_variables,[],[3713])).
% 202.92/202.85 cnf(12614,plain,
% 202.92/202.85 (~P1(f318(f318(f320(f926(f921(x126141),f921(x126141))),f318(f318(f243(f921(x126141),f921(x126141)),x126142),f104(x126141))),f136(x126141,x126143)))),
% 202.92/202.85 inference(rename_variables,[],[4722])).
% 202.92/202.85 cnf(12617,plain,
% 202.92/202.85 (~P1(f318(f318(f226(a920),x126171),f2(a920)))),
% 202.92/202.85 inference(rename_variables,[],[4699])).
% 202.92/202.85 cnf(12619,plain,
% 202.92/202.85 (~P1(f318(f55(x126191),f233(f927(x126191,a918))))),
% 202.92/202.85 inference(scs_inference,[],[3562,3753,11406,12459,12564,3762,3769,3489,4681,4682,3386,3389,4680,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,10870,11183,11376,11379,11398,11401,11594,11695,11702,11716,11762,11765,11787,11804,11819,11882,11939,11955,12242,12267,12283,12312,12318,12412,3721,3439,4667,10716,10816,11286,4673,3127,3128,3130,3131,3134,3135,3137,3138,3139,3141,3145,3146,3150,3151,3153,3154,3156,3165,3166,3175,3176,3210,3213,3219,3231,3237,3243,3244,3257,3270,3273,3274,3277,3283,3299,3409,3410,3313,4659,4076,11986,3363,11692,3479,10556,10559,10652,10655,10973,11707,11710,11830,11869,11874,11981,3456,3465,3971,4272,3353,3715,4062,11738,3416,3349,3376,3372,3359,3983,3396,3575,11133,11260,3449,4144,4675,10547,10713,11591,3509,12067,4704,11312,11411,11647,11650,3622,3413,3414,10617,10949,3674,3331,3435,11728,4286,4146,11332,11463,11522,4722,11235,11476,11585,11611,11655,11661,4723,11365,11479,11588,4724,11482,4725,11540,4726,3434,3713,12570,12611,3877,4557,4558,4672,3812,4026,4072,3699,3954,3586,10636,10755,10836,10909,10912,10952,11052,11302,11916,12238,12305,12383,12424,12499,3964,11972,3502,3598,11803,3775,4699,10524,10527,10553,10676,10854,11060,11075,11193,11633,11731,11915,12133,12138,12359,12362,12445,4710,11846,11877,11912,11919,11952,3951,3722,4094,3546,3547,3521,4696,4669,3706,4711,4279,11608,3835,3557,12088,12091,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,10859,11045,11289,11502,11797,11891,12037,12151,12154,4248,4207,12585,4155,11130,12231,12418,4202,11335,12456,12534,3878,11923,12241,12390,12464,4236,3895,10679,10776,11338,11416,11495,11559,12411,12415,4714,11078,11487,3518,10645,10742,10821,10895,10959,11034,11081,11084,11115,11141,11177,11215,11254,12040,12085,12211,12266,12286,12289,12292,12295,12473,12487,12490,12493,12496,3519,10727,10964,11055,11180,11822,12116,12119,12130,12217,12228,12247,12252,12298,12321,3520,12505,3594,12448,4695,10564,10593,11099,11144,11153,12000,12021,12185,12188,12191,12194,12282,12301,12304,12317,12371,12374,12377,12380,12546,3669,10824,10915,11188,11232,11466,11469,11548,11630,11807,4706,11108,11118,11224,11245,11248,11315,11318,11329,11432,11442,11454,11490,11507,11516,11556,11597,11602,11605,11624,11627,11664,11669,11672,11675,11678,11922,12064,12097,12365,12368,12402,12449,3579,10946,10976,10979,10988,10991,3618,3611,4030,3969,10596,11975,12003,4703,10544,10934,10937,11435,11451,11938,11991,12025,12148,12173,12176,12179,12182,12444,3539,10982,11138,11208,12004,12147,12343,12554,3993,4327,4700,4004,4038,4687,4691,3495,3499,4690,4688,3825,11968,4421,4716,10845,10848,4721,11321,11324,11510,11621,11638,4112,11681,12024,3959,11251,11257,11275,12263,12395,3809,11391,11513,12511,3961,10985,11354,11519,11553,3670,3776,10898,10901,10994,11164,4719,11969,4720,10735,10851,12573,4382,11121,12591,4290,3992,3937,4717,10569,10572,10940,10943,11843,4718,11949,3962,10904,4221,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497,6499,6505,6510,6544,6545,6548,6549,6550,6552,6553,6554,6555,6564,6597,6598,6607,6629,6630,6652,6654,6666,6667,6673,6703,6705,6720,6758,6761,6762,6820,6843,6888,6903,6910,6919,6920,6921,6922,6941,6942,6949,6961,6964,6966,6967,6968,6970,6972,6986,6997,6998,6999,7013,7070,7081,7083,7087,7106,7107,7142,7149,7154,7185,7215,7272,7301,7359,7380,7390,7394,7454,7464,7524,7526,7540,7549,7550,7551,7569,7573,7575,7620,7630,7633,7648,7695,7697,7700,7743,7744,7762,7832,7850,7875,7898,7910,7924,7935,7946,7947,7973,7975,7977,7986,8025,8037,8062,8089,8122,8154,8188,8227,8243,8245,8261,8262,8330,8341,8408,8432,8451,8478,8517,8518,8536,8575,8577,8579,8586,8601,8605,8620,8643,8651,8653,8663,8668,8672,8673,8674,8675,8676,8677,8699,8713,8714,8732,8733,8738,8739,8740,8741,8742,8760,8761,8762,8773,8786,8789,8800,8805,8807,8809,8810,8811,8818,8824,8832,8835,8852,8853,8862,8863,8871,8890,8903,8907,8928,8950,8951,8954,8955,8961,8971,8972,8995,9006,9016,9017,9018,9021,9044,9045,9056,9108,9118,9120,9136,9148,9149,9150,9161,9227,9258,9259,9260,9275,9292,9300,9328,9329,9400,9433,9439,9449,9450,9451,9461,9490,9506,9510,9514,9537,9538,9565,9630,9635,9638,9671,9672,9673,9697,9698,9714,9735,9741,9753,9778,9799,9808,9809,9810,9811,9827,9829,9834,9864,9865,9871,9872,9918,9919,9930,9931,9955,9974,9976,9977,9986,9991,10000,10025,10059,10061,10065,10115,10149,10159,10161,10165,10166,10168,10177,10178,10198,10203,10297,10384,10385,10386,10387,10449,10468,2,8,9,4746,4747,4765,4807,4808,4810,4833,4835,4836,4846,4891,4893,4941,5071,5072,5086,5110,5165,5166,5172,5173,5175,5177,5186,5189,5190,5198,5211,5212,5218,5239,5240,5261,5266,5267,5268,5269,5273,5281,5284,5292,5293,5294,5350,5355,5356,5361,5367,5397,5407,5412,5422,5440,5441,5448,5449,5451,5462,5480,5482,5483,5490,5497,5498,5510,5511,5512,5513,5515,5516,5521,5522,5523,5524,5554,5555,5556,5564,5565,5566,5567,5610,5615,5617,5653,5655,5656,5658,5659,5661,5662,5664,5673,5678,5679,5680,5682,5684,5685,5686,5687,5688,5689,5698,5708,5711,5722,5738,5739,5742,5753,5756,5757,5758,5785,5795,5811,5812,5821,5822,5824,5826,5831,5866,5871,5873,5932,5967,5968,5973,5979,5982,5983,5984,5985,6005,6010,6011,6020,6042,6075,6094,6095,6099,6100,6102,6125,6129,6132,6133,6134,6150,6165,6166,6198,6199,6203,6224,6227,6230,6252,6253,6281,6284,6293,6303,6311,6315,6323,6324,6325,6326,6358,6376,6428,6465,6467,6468,6490,6491,6498,6502,6503,6506,6521,6536,6557,6558,6565,6575,6590,6610,6617,6619,6634,6635,6638,6639,6641,6643,6644,6645,6647,6649,6653,6659,6660,6662,6663,6669,6671,6713,6719,6734,6737,6738,6739,6776,6781,6783,6788,6789,6799,6802,6815,6838,6839,6841,6842,6854,6860,6880,6883,6904,6923,6932,6935,6936,6937,6943,6957,6976,6978,6980,6982,6987,6993,6995,7010,7015,7016,7055,7056,7057,7072,7073,7075,7076,7097,7098,7113,7140,7162,7174,7176,7178,7180,7181,7212,7213,7214,7218,7219,7226,7227,7229,7231,7253,7263,7264,7275,7285,7325,7336,7342,7349,7360,7365,7367,7374,7383,7384,7398,7415,7436,7438,7457,7510,7511,7512,7514,7516,7520,7525,7588,7616,7631,7647,7678,7681,7688,7703,7727,7745,7748,7749,7759,7779,7781,7783,7785,7786,7787,7788,7789,7814,7840,7841,7874,7876,7877,7878,7883,7904,7921,7926,7932,7934,7942,7954,7955,7957,7978,7984,8006,8075,8076,8077,8125,8132,8133,8156,8157,8174,8175,8176,8234,8235,8264,8294,8304,8318,8333,8364,8368,8374])).
% 202.92/202.85 cnf(12620,plain,
% 202.92/202.85 (P1(f318(f318(f225(f927(x126201,a918)),x126202),x126202))),
% 202.92/202.85 inference(rename_variables,[],[3809])).
% 202.92/202.85 cnf(12623,plain,
% 202.92/202.85 (~P1(f318(f318(f320(x126231),x126232),f179(f927(x126231,a918))))),
% 202.92/202.85 inference(rename_variables,[],[4706])).
% 202.92/202.85 cnf(12626,plain,
% 202.92/202.85 (~P1(f318(f318(f179(f927(x126261,f927(x126262,a918))),x126263),x126264))),
% 202.92/202.85 inference(rename_variables,[],[4720])).
% 202.92/202.85 cnf(12629,plain,
% 202.92/202.85 (P1(f318(f318(f225(f927(x126291,a918)),f318(f301(x126292,x126291,x126293),f318(f302(x126292,x126291,x126293),x126294))),x126294))),
% 202.92/202.85 inference(rename_variables,[],[4382])).
% 202.92/202.85 cnf(12630,plain,
% 202.92/202.85 (P1(f318(f318(f225(f927(x126301,a918)),x126302),x126302))),
% 202.92/202.85 inference(rename_variables,[],[3809])).
% 202.92/202.85 cnf(12635,plain,
% 202.92/202.85 (E(f318(f275(x126351,x126351),f254(x126351,x126352)),x126352)),
% 202.92/202.85 inference(rename_variables,[],[3479])).
% 202.92/202.85 cnf(12638,plain,
% 202.92/202.85 (P1(f318(f318(f225(f927(x126381,a918)),f318(f163(x126381),f167(x126381,x126382,x126383))),f318(f163(x126381),x126382)))),
% 202.92/202.85 inference(rename_variables,[],[4202])).
% 202.92/202.85 cnf(12639,plain,
% 202.92/202.85 (P1(f318(f55(x126391),f318(f163(x126391),x126392)))),
% 202.92/202.85 inference(rename_variables,[],[3557])).
% 202.92/202.85 cnf(12642,plain,
% 202.92/202.85 (P1(f318(f318(f225(a920),x126421),x126421))),
% 202.92/202.85 inference(rename_variables,[],[3518])).
% 202.92/202.85 cnf(12645,plain,
% 202.92/202.85 (~P1(f318(f318(f226(a920),x126451),x126451))),
% 202.92/202.85 inference(rename_variables,[],[4695])).
% 202.92/202.85 cnf(12648,plain,
% 202.92/202.85 (~P1(f318(f318(f226(a920),x126481),x126481))),
% 202.92/202.85 inference(rename_variables,[],[4695])).
% 202.92/202.85 cnf(12659,plain,
% 202.92/202.85 (P25(x126591,x126591,f7(x126591),x126592)),
% 202.92/202.85 inference(rename_variables,[],[3753])).
% 202.92/202.85 cnf(12667,plain,
% 202.92/202.85 (~P1(f318(f318(f320(x126671),x126672),f179(f927(x126671,a918))))),
% 202.92/202.85 inference(rename_variables,[],[4706])).
% 202.92/202.85 cnf(12670,plain,
% 202.92/202.85 (P1(f318(f318(f320(f926(x126701,x126701)),f318(f318(f243(x126701,x126701),x126702),x126702)),f298(x126701,x126703)))),
% 202.92/202.85 inference(rename_variables,[],[4146])).
% 202.92/202.85 cnf(12673,plain,
% 202.92/202.85 (~P1(f318(f318(f320(x126731),x126732),f179(f927(x126731,a918))))),
% 202.92/202.85 inference(rename_variables,[],[4706])).
% 202.92/202.85 cnf(12676,plain,
% 202.92/202.85 (P1(f318(f318(f320(f926(x126761,x126761)),f318(f318(f243(x126761,x126761),x126762),x126762)),f298(x126761,x126763)))),
% 202.92/202.85 inference(rename_variables,[],[4146])).
% 202.92/202.85 cnf(12682,plain,
% 202.92/202.85 (E(f318(f318(f300(x126821),x126822),f318(f318(f300(x126821),x126822),x126823)),f318(f318(f300(x126821),x126822),x126823))),
% 202.92/202.85 inference(rename_variables,[],[3662])).
% 202.92/202.85 cnf(12683,plain,
% 202.92/202.85 (~E(f318(f318(f300(x126831),x126832),x126833),f179(f927(x126831,a918)))),
% 202.92/202.85 inference(rename_variables,[],[4684])).
% 202.92/202.85 cnf(12686,plain,
% 202.92/202.85 (~E(f318(f318(f142(x126861),x126862),x126863),x126863)),
% 202.92/202.85 inference(rename_variables,[],[4675])).
% 202.92/202.85 cnf(12688,plain,
% 202.92/202.85 (~P26(a920,a920,x126881,f233(f927(a920,a918)),f297(a920,x126882,x126883))),
% 202.92/202.85 inference(scs_inference,[],[3562,3753,11406,12459,12564,12567,3762,3769,3489,4681,4682,3386,3389,4680,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,10870,11183,11376,11379,11398,11401,11594,11695,11702,11716,11762,11765,11787,11804,11819,11882,11939,11955,12242,12267,12283,12312,12318,12412,3721,12214,3439,4667,10716,10816,11286,4673,3127,3128,3130,3131,3134,3135,3137,3138,3139,3141,3145,3146,3150,3151,3153,3154,3156,3165,3166,3175,3176,3188,3210,3213,3219,3231,3237,3243,3244,3257,3270,3273,3274,3277,3283,3299,3409,3410,3313,4659,4076,11986,3363,11692,3479,10556,10559,10652,10655,10973,11707,11710,11830,11869,11874,11981,12433,3456,3465,3971,4272,3353,3715,4062,11738,3416,3349,3376,3830,3372,3359,3983,3396,3575,11133,11260,3449,4144,4675,10547,10713,11591,11790,3509,12067,4704,11312,11411,11647,11650,3622,4684,3413,3414,10617,10949,3674,3331,3435,11728,4286,4146,11332,11463,11522,12670,4722,11235,11476,11585,11611,11655,11661,12614,4723,11365,11479,11588,4724,11482,4725,11540,4726,3434,3713,12570,12611,3877,3662,4557,4558,4672,11721,3812,4026,4072,3699,3954,3586,10636,10755,10836,10909,10912,10952,11052,11302,11916,12238,12305,12383,12424,12499,12502,3964,11972,3502,3598,11803,3775,4699,10524,10527,10553,10676,10854,11060,11075,11193,11633,11731,11915,12133,12138,12359,12362,12445,12617,4710,11846,11877,11912,11919,11952,3951,3722,4094,3546,3547,3521,4696,4669,3706,4711,4279,11608,3835,3557,12088,12091,12535,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,10859,11045,11289,11502,11797,11891,12037,12151,12154,4248,4207,12585,4155,11130,12231,12418,4202,11335,12456,12534,12594,12638,3878,11923,12241,12390,12464,4236,3895,10679,10776,11338,11416,11495,11559,12411,12415,12480,4714,11078,11487,3518,10645,10742,10821,10895,10959,11034,11081,11084,11115,11141,11177,11215,11254,12040,12085,12211,12266,12286,12289,12292,12295,12473,12487,12490,12493,12496,12578,3519,10727,10964,11055,11180,11822,12116,12119,12130,12217,12228,12247,12252,12298,12321,3520,12505,3594,12448,4695,10564,10593,11099,11144,11153,12000,12021,12185,12188,12191,12194,12282,12301,12304,12317,12371,12374,12377,12380,12546,12549,12645,3669,10824,10915,11188,11232,11466,11469,11548,11630,11807,4706,11108,11118,11224,11245,11248,11315,11318,11329,11432,11442,11454,11490,11507,11516,11556,11597,11602,11605,11624,11627,11664,11669,11672,11675,11678,11922,12064,12097,12365,12368,12402,12449,12476,12623,12667,3579,10946,10976,10979,10988,10991,3618,3611,4030,3969,10596,11975,12003,4703,10544,10934,10937,11435,11451,11938,11991,12025,12148,12173,12176,12179,12182,12444,3539,10982,11138,11208,12004,12147,12343,12554,3993,4327,4700,4004,4038,4687,4691,3495,3499,4690,4688,3825,11968,4421,4716,10845,10848,4721,11321,11324,11510,11621,11638,11684,4112,11681,12024,3959,11251,11257,11275,12263,12395,3809,11391,11513,12511,12620,3961,10985,11354,11519,11553,3670,3776,10898,10901,10994,11164,4719,11969,4720,10735,10851,12573,12582,4382,11121,12591,12606,4290,3992,3937,4717,10569,10572,10940,10943,11843,4718,11949,3962,10904,4221,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497,6499,6505,6510,6544,6545,6548,6549,6550,6552,6553,6554,6555,6564,6597,6598,6607,6629,6630,6652,6654,6666,6667,6673,6703,6705,6720,6758,6761,6762,6820,6843,6888,6903,6910,6919,6920,6921,6922,6941,6942,6949,6961,6964,6966,6967,6968,6970,6972,6986,6997,6998,6999,7013,7070,7081,7083,7087,7106,7107,7142,7149,7154,7185,7215,7272,7301,7359,7380,7390,7394,7454,7464,7524,7526,7540,7549,7550,7551,7569,7573,7575,7620,7630,7633,7648,7695,7697,7700,7743,7744,7762,7832,7850,7875,7898,7910,7924,7935,7946,7947,7973,7975,7977,7986,8025,8037,8062,8089,8122,8154,8188,8227,8243,8245,8261,8262,8330,8341,8408,8432,8451,8478,8517,8518,8536,8575,8577,8579,8586,8601,8605,8620,8643,8651,8653,8663,8668,8672,8673,8674,8675,8676,8677,8699,8713,8714,8732,8733,8738,8739,8740,8741,8742,8760,8761,8762,8773,8786,8789,8800,8805,8807,8809,8810,8811,8818,8824,8832,8835,8852,8853,8862,8863,8871,8890,8903,89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% 202.92/202.85 cnf(12693,plain,
% 202.92/202.85 (P1(f318(f318(f320(x126931),x126932),f233(f927(x126931,a918))))),
% 202.92/202.85 inference(rename_variables,[],[3669])).
% 202.92/202.85 cnf(12694,plain,
% 202.92/202.85 (~E(f318(a103,x126941),x126941)),
% 202.92/202.85 inference(rename_variables,[],[4661])).
% 202.92/202.85 cnf(12697,plain,
% 202.92/202.85 (P1(f318(f318(f320(f921(x126971)),f104(x126971)),f152(x126971,x126972)))),
% 202.92/202.85 inference(rename_variables,[],[3713])).
% 202.92/202.85 cnf(12698,plain,
% 202.92/202.85 (~E(f318(f318(f142(x126981),x126982),x126983),f104(x126981))),
% 202.92/202.85 inference(rename_variables,[],[4678])).
% 202.92/202.85 cnf(12701,plain,
% 202.92/202.85 (P25(x127011,x127011,f7(x127011),x127012)),
% 202.92/202.85 inference(rename_variables,[],[3753])).
% 202.92/202.85 cnf(12704,plain,
% 202.92/202.85 (P1(f318(f318(f320(x127041),f318(x127042,x127043)),f318(f301(x127044,x127041,x127042),f233(f927(x127044,a918)))))),
% 202.92/202.85 inference(rename_variables,[],[4112])).
% 202.92/202.85 cnf(12705,plain,
% 202.92/202.85 (P25(x127051,x127051,f7(x127051),x127052)),
% 202.92/202.85 inference(rename_variables,[],[3753])).
% 202.92/202.85 cnf(12708,plain,
% 202.92/202.85 (P1(f318(f318(f225(f927(x127081,a918)),f179(f927(x127081,a918))),x127082))),
% 202.92/202.85 inference(rename_variables,[],[3961])).
% 202.92/202.85 cnf(12709,plain,
% 202.92/202.85 (P1(f318(f318(f225(f927(x127091,a918)),x127092),x127092))),
% 202.92/202.85 inference(rename_variables,[],[3809])).
% 202.92/202.85 cnf(12712,plain,
% 202.92/202.85 (P1(f318(f318(f320(x127121),f318(x127122,x127123)),f318(f301(x127124,x127121,x127122),f233(f927(x127124,a918)))))),
% 202.92/202.85 inference(rename_variables,[],[4112])).
% 202.92/202.85 cnf(12713,plain,
% 202.92/202.85 (P25(x127131,x127131,f7(x127131),x127132)),
% 202.92/202.85 inference(rename_variables,[],[3753])).
% 202.92/202.85 cnf(12716,plain,
% 202.92/202.85 (P1(f318(f318(f320(f926(f921(x127161),f921(x127161))),f318(f318(f243(f921(x127161),f921(x127161)),f104(x127161)),f104(x127161))),f149(x127161,x127162)))),
% 202.92/202.85 inference(rename_variables,[],[4286])).
% 202.92/202.85 cnf(12720,plain,
% 202.92/202.85 (~P1(f318(f318(f226(a920),x127201),f2(a920)))),
% 202.92/202.85 inference(rename_variables,[],[4699])).
% 202.92/202.85 cnf(12726,plain,
% 202.92/202.85 (E(f318(f318(f125(x127261),x127262),f104(x127261)),x127262)),
% 202.92/202.85 inference(rename_variables,[],[3450])).
% 202.92/202.85 cnf(12727,plain,
% 202.92/202.85 (~E(f318(f318(f142(x127271),x127272),x127273),x127273)),
% 202.92/202.85 inference(rename_variables,[],[4675])).
% 202.92/202.85 cnf(12730,plain,
% 202.92/202.85 (E(f318(f318(f125(x127301),x127302),f104(x127301)),x127302)),
% 202.92/202.85 inference(rename_variables,[],[3450])).
% 202.92/202.85 cnf(12731,plain,
% 202.92/202.85 (~E(f318(f318(f142(x127311),x127312),x127313),x127313)),
% 202.92/202.85 inference(rename_variables,[],[4675])).
% 202.92/202.85 cnf(12734,plain,
% 202.92/202.85 (E(f318(f318(f125(x127341),x127342),f104(x127341)),x127342)),
% 202.92/202.85 inference(rename_variables,[],[3450])).
% 202.92/202.85 cnf(12741,plain,
% 202.92/202.85 (P55(x127411,f254(x127411,x127412))),
% 202.92/202.85 inference(rename_variables,[],[3390])).
% 202.92/202.85 cnf(12744,plain,
% 202.92/202.85 (P1(f318(f318(f225(f927(x127441,a918)),f318(f163(x127441),f318(f127(x127441,x127442),x127443))),f318(f163(x127441),x127443)))),
% 202.92/202.85 inference(rename_variables,[],[4155])).
% 202.92/202.85 cnf(12745,plain,
% 202.92/202.85 (E(f318(f301(x127451,x127451,f7(x127451)),x127452),x127452)),
% 202.92/202.85 inference(rename_variables,[],[3575])).
% 202.92/202.85 cnf(12750,plain,
% 202.92/202.85 (P1(f318(f318(f225(f927(x127501,a918)),x127502),f233(f927(x127501,a918))))),
% 202.92/202.85 inference(rename_variables,[],[3895])).
% 202.92/202.85 cnf(12754,plain,
% 202.92/202.85 (~P1(f318(f318(f226(a920),x127541),x127541))),
% 202.92/202.85 inference(rename_variables,[],[4695])).
% 202.92/202.85 cnf(12755,plain,
% 202.92/202.85 (~E(f318(a103,x127551),x127551)),
% 202.92/202.85 inference(rename_variables,[],[4661])).
% 202.92/202.85 cnf(12758,plain,
% 202.92/202.85 (P1(f318(f318(f225(f927(x127581,a918)),f179(f927(x127581,a918))),x127582))),
% 202.92/202.85 inference(rename_variables,[],[3961])).
% 202.92/202.85 cnf(12761,plain,
% 202.92/202.85 (P1(f318(f318(f225(a920),x127611),x127611))),
% 202.92/202.85 inference(rename_variables,[],[3518])).
% 202.92/202.85 cnf(12764,plain,
% 202.92/202.85 (P1(f318(f318(f225(f927(x127641,a918)),x127642),x127642))),
% 202.92/202.85 inference(rename_variables,[],[3809])).
% 202.92/202.85 cnf(12769,plain,
% 202.92/202.85 (P1(f318(f318(f225(f927(x127691,a918)),x127692),f318(f318(f300(x127691),x127693),x127692)))),
% 202.92/202.85 inference(rename_variables,[],[3959])).
% 202.92/202.85 cnf(12772,plain,
% 202.92/202.85 (P1(f318(f318(f225(f927(x127721,a918)),x127722),x127722))),
% 202.92/202.85 inference(rename_variables,[],[3809])).
% 202.92/202.85 cnf(12773,plain,
% 202.92/202.85 (~P1(f318(f318(f320(x127731),x127732),f179(f927(x127731,a918))))),
% 202.92/202.85 inference(rename_variables,[],[4706])).
% 202.92/202.85 cnf(12776,plain,
% 202.92/202.85 (~P1(f318(f318(f320(x127761),x127762),f179(f927(x127761,a918))))),
% 202.92/202.85 inference(rename_variables,[],[4706])).
% 202.92/202.85 cnf(12784,plain,
% 202.92/202.85 (~P1(f318(f318(f225(f927(f926(x127841,x127841),a918)),f318(f301(f926(x127841,x127841),f926(x127841,x127841),f7(f926(x127841,x127841))),f233(f927(f926(x127841,x127841),a918)))),f318(f301(f926(x127841,x127841),f926(x127841,x127841),f7(f926(x127841,x127841))),f179(f927(f926(x127841,x127841),a918)))))),
% 202.92/202.85 inference(scs_inference,[],[3562,3753,11406,12459,12564,12567,12659,12701,12705,12713,3762,3769,3489,4681,4682,3386,3389,3390,4680,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,10870,11183,11376,11379,11398,11401,11594,11695,11702,11716,11762,11765,11787,11804,11819,11882,11939,11955,12242,12267,12283,12312,12318,12412,12527,12694,3574,3721,12214,3439,4667,10716,10816,11286,4673,3127,3128,3130,3131,3134,3135,3137,3138,3139,3141,3145,3146,3150,3151,3153,3154,3156,3165,3166,3175,3176,3188,3210,3213,3219,3231,3237,3243,3244,3257,3270,3273,3274,3277,3283,3299,3409,3410,3313,4659,4076,11986,3363,11692,3479,10556,10559,10652,10655,10973,11707,11710,11830,11869,11874,11981,12433,3450,12726,12730,3456,3465,3971,4272,3353,3715,4062,11738,3416,3349,3376,3830,3372,3359,3983,3396,3575,11133,11260,12528,12745,3449,4144,4675,10547,10713,11591,11790,12686,12727,4678,12698,3509,12067,4704,11312,11411,11647,11650,3622,4684,3413,3414,10617,10949,3674,3331,3435,11728,4286,12716,4146,11332,11463,11522,12670,12676,4722,11235,11476,11585,11611,11655,11661,12614,4723,11365,11479,11588,4724,11482,4725,11540,4726,3434,3713,12570,12611,12697,3877,3662,4557,4558,4672,11721,3812,4026,4072,3699,3954,3586,10636,10755,10836,10909,10912,10952,11052,11302,11916,12238,12305,12383,12424,12499,12502,3964,11972,3502,3598,11803,3775,4699,10524,10527,10553,10676,10854,11060,11075,11193,11633,11731,11915,12133,12138,12359,12362,12445,12617,4710,11846,11877,11912,11919,11952,3951,3722,4094,3546,3547,3521,4696,4669,3903,3706,4711,4279,11608,3835,3557,12088,12091,12535,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,10859,11045,11289,11502,11797,11891,12037,12151,12154,4248,4207,12585,4155,11130,12231,12418,12595,4202,11335,12456,12534,12594,12638,3878,11923,12241,12390,12464,4236,3895,10679,10776,11338,11416,11495,11559,12411,12415,12480,4714,11078,11487,3518,10645,10742,10821,10895,10959,11034,11081,11084,11115,11141,11177,11215,11254,12040,12085,12211,12266,12286,12289,12292,12295,12473,12487,12490,12493,12496,12578,12642,3519,10727,10964,11055,11180,11822,12116,12119,12130,12217,12228,12247,12252,12298,12321,3520,12505,3594,12448,4695,10564,10593,11099,11144,11153,12000,12021,12185,12188,12191,12194,12282,12301,12304,12317,12371,12374,12377,12380,12546,12549,12645,12648,3669,10824,10915,11188,11232,11466,11469,11548,11630,11807,4706,11108,11118,11224,11245,11248,11315,11318,11329,11432,11442,11454,11490,11507,11516,11556,11597,11602,11605,11624,11627,11664,11669,11672,11675,11678,11922,12064,12097,12365,12368,12402,12449,12476,12623,12667,12673,12773,3579,10946,10976,10979,10988,10991,3618,3611,4030,3969,10596,11975,12003,4703,10544,10934,10937,11435,11451,11938,11991,12025,12148,12173,12176,12179,12182,12444,3539,10982,11138,11208,12004,12147,12343,12554,3993,4327,4700,4004,4038,4687,4691,3495,3499,4690,4688,3825,11968,4421,4716,10845,10848,4721,11321,11324,11510,11621,11638,11684,4112,11681,12024,12028,12704,3959,11251,11257,11275,12263,12395,12479,3809,11391,11513,12511,12620,12630,12709,12764,3961,10985,11354,11519,11553,11564,12708,3670,3776,10898,10901,10994,11164,4719,11969,4720,10735,10851,12573,12582,4382,11121,12591,12606,4290,3992,3937,4717,10569,10572,10940,10943,11843,4718,11949,3962,10904,4221,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497,6499,6505,6510,6544,6545,6548,6549,6550,6552,6553,6554,6555,6564,6597,6598,6607,6629,6630,6652,6654,6666,6667,6673,6703,6705,6720,6758,6761,6762,6820,6843,6888,6903,6910,6919,6920,6921,6922,6941,6942,6949,6961,6964,6966,6967,6968,6970,6972,6986,6997,6998,6999,7013,7070,7081,7083,7087,7106,7107,7142,7149,7154,7185,7215,7272,7301,7359,7380,7390,7394,7454,7464,7524,7526,7540,7549,7550,7551,7569,7573,7575,7620,7630,7633,7648,7695,7697,7700,7743,7744,7762,7832,7850,7875,7898,7910,7924,7935,7946,7947,7973,7975,7977,7986,8025,8037,8062,8089,8122,8154,8188,8227,8243,8245,8261,8262,8330,8341,8408,8432,8451,8478,8517,8518,8536,8575,8577,8579,8586,8601,8605,8620,8643,8651,8653,8663,866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% 202.92/202.85 cnf(12785,plain,
% 202.92/202.85 (P25(x127851,x127851,f7(x127851),x127852)),
% 202.92/202.85 inference(rename_variables,[],[3753])).
% 202.92/202.85 cnf(12788,plain,
% 202.92/202.85 (E(f318(f180(f921(x127881)),f160(x127881,x127882,x127883)),x127882)),
% 202.92/202.85 inference(rename_variables,[],[3585])).
% 202.92/202.85 cnf(12791,plain,
% 202.92/202.85 (P26(x127911,x127911,f25(x127911),x127912,x127912)),
% 202.92/202.85 inference(rename_variables,[],[4170])).
% 202.92/202.85 cnf(12794,plain,
% 202.92/202.85 (~P1(f318(f318(f226(a920),x127941),x127941))),
% 202.92/202.85 inference(rename_variables,[],[4695])).
% 202.92/202.85 cnf(12795,plain,
% 202.92/202.85 (P1(f318(f233(f927(x127951,a918)),x127952))),
% 202.92/202.85 inference(rename_variables,[],[3579])).
% 202.92/202.85 cnf(12798,plain,
% 202.92/202.85 (~P1(f318(f318(f320(x127981),x127982),f179(f927(x127981,a918))))),
% 202.92/202.85 inference(rename_variables,[],[4706])).
% 202.92/202.85 cnf(12801,plain,
% 202.92/202.85 (P1(f318(f318(f225(f927(x128011,a918)),x128012),f318(f318(f300(x128011),x128013),x128012)))),
% 202.92/202.85 inference(rename_variables,[],[3959])).
% 202.92/202.85 cnf(12804,plain,
% 202.92/202.85 (P1(f318(f318(f320(x128041),f318(x128042,x128043)),f318(f301(x128044,x128041,x128042),f233(f927(x128044,a918)))))),
% 202.92/202.85 inference(rename_variables,[],[4112])).
% 202.92/202.85 cnf(12805,plain,
% 202.92/202.85 (P1(f318(f318(f320(f926(x128051,x128051)),f318(f318(f243(x128051,x128051),x128052),x128052)),f298(x128051,x128053)))),
% 202.92/202.85 inference(rename_variables,[],[4146])).
% 202.92/202.85 cnf(12808,plain,
% 202.92/202.85 (P1(f318(f318(f320(f926(x128081,x128081)),f318(f318(f243(x128081,x128081),x128082),x128082)),f298(x128081,x128083)))),
% 202.92/202.85 inference(rename_variables,[],[4146])).
% 202.92/202.85 cnf(12811,plain,
% 202.92/202.85 (P1(f318(f318(f225(a920),x128111),x128111))),
% 202.92/202.85 inference(rename_variables,[],[3518])).
% 202.92/202.85 cnf(12812,plain,
% 202.92/202.85 (P1(f318(f233(f927(x128121,a918)),x128122))),
% 202.92/202.85 inference(rename_variables,[],[3579])).
% 202.92/202.85 cnf(12815,plain,
% 202.92/202.85 (P1(f318(f318(f225(f927(x128151,a918)),x128152),f233(f927(x128151,a918))))),
% 202.92/202.85 inference(rename_variables,[],[3895])).
% 202.92/202.85 cnf(12816,plain,
% 202.92/202.85 (P26(x128161,x128161,f25(x128161),x128162,x128162)),
% 202.92/202.85 inference(rename_variables,[],[4170])).
% 202.92/202.85 cnf(12819,plain,
% 202.92/202.85 (P1(f318(f55(x128191),f318(f163(x128191),x128192)))),
% 202.92/202.85 inference(rename_variables,[],[3557])).
% 202.92/202.85 cnf(12824,plain,
% 202.92/202.85 (P1(f318(f318(f320(f926(f921(x128241),f921(x128241))),f318(f318(f243(f921(x128241),f921(x128241)),f104(x128241)),f104(x128241))),f318(f318(f280(f921(x128241),f921(x128241),f921(x128241)),f149(x128241,x128242)),f149(x128241,x128242))))),
% 202.92/202.85 inference(scs_inference,[],[3562,4170,12791,3753,11406,12459,12564,12567,12659,12701,12705,12713,3762,3769,3489,4681,4682,3386,3389,3390,4680,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,10870,11183,11376,11379,11398,11401,11594,11695,11702,11716,11762,11765,11787,11804,11819,11882,11939,11955,12242,12267,12283,12312,12318,12412,12527,12694,3574,3721,12214,3439,4667,10716,10816,11286,4673,3127,3128,3130,3131,3134,3135,3137,3138,3139,3141,3145,3146,3150,3151,3153,3154,3156,3165,3166,3175,3176,3188,3210,3213,3219,3231,3237,3243,3244,3257,3270,3273,3274,3277,3283,3299,3409,3410,3313,4659,4076,11986,3363,11692,3479,10556,10559,10652,10655,10973,11707,11710,11830,11869,11874,11981,12433,3450,12726,12730,12734,3456,3465,3971,4272,3585,3353,3715,4062,11738,3416,3349,3376,3830,3372,3359,3983,3396,3575,11133,11260,12528,12745,3449,4144,4675,10547,10713,11591,11790,12686,12727,4678,12698,3509,12067,4704,11312,11411,11647,11650,3622,4684,3413,3414,10617,10949,3674,3331,3435,11728,4286,12716,4146,11332,11463,11522,12670,12676,12805,4722,11235,11476,11585,11611,11655,11661,12614,4723,11365,11479,11588,4724,11482,4725,11540,4726,3434,3713,12570,12611,12697,3877,3662,4557,4558,4672,11721,3812,4026,4072,3699,3954,3586,10636,10755,10836,10909,10912,10952,11052,11302,11916,12238,12305,12383,12424,12499,12502,3964,11972,3502,3598,11803,3775,4699,10524,10527,10553,10676,10854,11060,11075,11193,11633,11731,11915,12133,12138,12359,12362,12445,12617,4710,11846,11877,11912,11919,11952,3951,3722,4094,3546,3547,3521,4696,4669,3903,3706,4711,4279,11608,3835,3557,12088,12091,12535,12639,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,10859,11045,11289,11502,11797,11891,12037,12151,12154,4248,4207,12585,4155,11130,12231,12418,12595,4202,11335,12456,12534,12594,12638,3878,11923,12241,12390,12464,4236,3895,10679,10776,11338,11416,11495,11559,12411,12415,12480,12750,4714,11078,11487,3518,10645,10742,10821,10895,10959,11034,11081,11084,11115,11141,11177,11215,11254,12040,12085,12211,12266,12286,12289,12292,12295,12473,12487,12490,12493,12496,12578,12642,12761,3519,10727,10964,11055,11180,11822,12116,12119,12130,12217,12228,12247,12252,12298,12321,3520,12505,3594,12448,4695,10564,10593,11099,11144,11153,12000,12021,12185,12188,12191,12194,12282,12301,12304,12317,12371,12374,12377,12380,12546,12549,12645,12648,12754,3669,10824,10915,11188,11232,11466,11469,11548,11630,11807,4706,11108,11118,11224,11245,11248,11315,11318,11329,11432,11442,11454,11490,11507,11516,11556,11597,11602,11605,11624,11627,11664,11669,11672,11675,11678,11922,12064,12097,12365,12368,12402,12449,12476,12623,12667,12673,12773,12776,3579,10946,10976,10979,10988,10991,11577,12795,3618,3611,4030,3969,10596,11975,12003,4703,10544,10934,10937,11435,11451,11938,11991,12025,12148,12173,12176,12179,12182,12444,3539,10982,11138,11208,12004,12147,12343,12554,3993,4327,4700,4004,4038,4687,4691,3495,3499,4690,4688,3825,11968,4421,4716,10845,10848,4721,11321,11324,11510,11621,11638,11684,4112,11681,12024,12028,12704,12712,3959,11251,11257,11275,12263,12395,12479,12769,3809,11391,11513,12511,12620,12630,12709,12764,3961,10985,11354,11519,11553,11564,12708,3670,3776,10898,10901,10994,11164,4719,11969,4720,10735,10851,12573,12582,4382,11121,12591,12606,4290,3992,3937,4717,10569,10572,10940,10943,11843,4718,11949,3962,10904,4221,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497,6499,6505,6510,6544,6545,6548,6549,6550,6552,6553,6554,6555,6564,6597,6598,6607,6629,6630,6652,6654,6666,6667,6673,6703,6705,6720,6758,6761,6762,6820,6843,6888,6903,6910,6919,6920,6921,6922,6941,6942,6949,6961,6964,6966,6967,6968,6970,6972,6986,6997,6998,6999,7013,7070,7081,7083,7087,7106,7107,7142,7149,7154,7185,7215,7272,7301,7359,7380,7390,7394,7454,7464,7524,7526,7540,7549,7550,7551,7569,7573,7575,7620,7630,7633,7648,7695,7697,7700,7743,7744,7762,7832,7850,7875,7898,7910,7924,7935,7946,7947,7973,7975,7977,7986,8025,8037,8062,8089,8122,8154,8188,8227,8243,8245,8261,8262,8330,8341,8408,8432,8451,8478,8517,8518,8536,8575,8577,8579,8586,8601,8605,8620,8643,8651,8653,8663,8668,8672,8673,8674,8675,8676,8677,8699,8713,8714,8732,8733,8738,8739,8740,8741,8742,8760,8761,8762,8773,8786,8789,8800,8805,8807,8809,8810,8811,8818,8824,8832,8835,8852,8853,8862,8863,8871,8890,8903,8907,8928,8950,8951,8954,8955,8961,8971,8972,8995,9006,9016,9017,9018,9021,9044,9045,9056,9108,9118,9120,9136,9148,9149,9150,9161,9227,9258,9259,9260,9275,9292,9300,9328,9329,9400,9433,9439,9449,9450,9451,9461,9490,9506,9510,9514,9537,9538,9565,9630,9635,9638,9671,9672,9673,9697,9698,9714,9735,9741,9753,9778,9799,9808,9809,9810,9811,9827,9829,9834,9864,9865,9871,9872,9918,9919,9930,9931,9955,9974,9976,9977,9986,9991,10000,10025,10059,10061,10065,10115,10149,10159,10161,10165,10166,10168,10177,10178,10198,10203,10297,10384,10385,10386,10387,10449,10468,2,8,9,4746,4747,4765,4807,4808,4810,4833,4835,4836,4846,4891,4893,4941,5071,5072,5086,5110,5165,5166,5172,5173,5175,5177,5186,5189,5190,5198,5211,5212,5218,5239,5240,5261,5266,5267,5268,5269,5273,5281,5284,5292,5293,5294,5350,5355,5356,5361,5367,5397,5407,5412,5422,5440,5441,5448,5449,5451,5462,5480,5482,5483,5490,5497,5498,5510,5511,5512,5513,5515,5516,5521,5522,5523,5524,5554,5555,5556,5564,5565,5566,5567,5610,5615,5617,5653,5655,5656,5658,5659,5661,5662,5664,5673,5678,5679,5680,5682,5684,5685,5686,5687,5688,5689,5698,5708,5711,5722,5738,5739,5742,5753,5756,5757,5758,5785,5795,5811,5812,5821,5822,5824,5826,5831,5866,5871,5873,5932,5967,5968,5973,5979,5982,5983,5984,5985,6005,6010,6011,6020,6042,6075,6094,6095,6099,6100,6102,6125,6129,6132,6133,6134,6150,6165,6166,6198,6199,6203,6224,6227,6230,6252,6253,6281,6284,6293,6303,6311,6315,6323,6324,6325,6326,6358,6376,6428,6465,6467,6468,6490,6491,6498,6502,6503,6506,6521,6536,6557,6558,6565,6575,6590,6610,6617,6619,6634,6635,6638,6639,6641,6643,6644,6645,6647,6649,6653,6659,6660,6662,6663,6669,6671,6713,6719,6734,6737,6738,6739,6776,6781,6783,6788,6789,6799,6802,6815,6838,6839,6841,6842,6854,6860,6880,6883,6904,6923,6932,6935,6936,6937,6943,6957,6976,6978,6980,6982,6987,6993,6995,7010,7015,7016,7055,7056,7057,7072,7073,7075,7076,7097,7098,7113,7140,7162,7174,7176,7178,7180,7181,7212,7213,7214,7218,7219,7226,7227,7229,7231,7253,7263,7264,7275,7285,7325,7336,7342,7349,7360,7365,7367,7374,7383,7384,7398,7415,7436,7438,7457,7510,7511,7512,7514,7516,7520,7525,7588,7616,7631,7647,7678,7681,7688,7703,7727,7745,7748,7749,7759,7779,7781,7783,7785,7786,7787,7788,7789,7814,7840,7841,7874,7876,7877,7878,7883,7904,7921,7926,7932,7934,7942,7954,7955,7957,7978,7984,8006,8075,8076,8077,8125,8132,8133,8156,8157,8174,8175,8176,8234,8235,8264,8294,8304,8318,8333,8364,8368,8374,8386,8404,8409,8431,8476,8505,8519,8539,8542,8568,8595,8654,8655,8658,8659,8730,8764,8765,8766,8767,8795,8827,8856,8864,8865,8906,8927,8973,8989,9035,9038,9053,9060,9105,9144,9145,9163,9164,9178,9297,9302,9306,9326,9337,9362,9364,9367,9373,9375,9376,9386,9387,9407,9415,9425,9432,9475,9494,9515,9550,9551,9557,9596,9622,9627,9667])).
% 202.92/202.85 cnf(12826,plain,
% 202.92/202.85 (P1(f318(f318(f320(f926(x128261,x128261)),f318(f318(f243(x128261,x128261),x128262),x128262)),f318(f318(f280(x128261,x128261,x128261),f298(x128261,x128263)),f298(x128261,f298(x128261,x128263)))))),
% 202.92/202.85 inference(scs_inference,[],[3562,4170,12791,3753,11406,12459,12564,12567,12659,12701,12705,12713,3762,3769,3489,4681,4682,3386,3389,3390,4680,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,10870,11183,11376,11379,11398,11401,11594,11695,11702,11716,11762,11765,11787,11804,11819,11882,11939,11955,12242,12267,12283,12312,12318,12412,12527,12694,3574,3721,12214,3439,4667,10716,10816,11286,4673,3127,3128,3130,3131,3134,3135,3137,3138,3139,3141,3145,3146,3150,3151,3153,3154,3156,3165,3166,3175,3176,3188,3210,3213,3219,3231,3237,3243,3244,3257,3270,3273,3274,3277,3283,3299,3409,3410,3313,4659,4076,11986,3363,11692,3479,10556,10559,10652,10655,10973,11707,11710,11830,11869,11874,11981,12433,3450,12726,12730,12734,3456,3465,3971,4272,3585,3353,3715,4062,11738,3416,3349,3376,3830,3372,3359,3983,3396,3575,11133,11260,12528,12745,3449,4144,4675,10547,10713,11591,11790,12686,12727,4678,12698,3509,12067,4704,11312,11411,11647,11650,3622,4684,3413,3414,10617,10949,3674,3331,3435,11728,4286,12716,4146,11332,11463,11522,12670,12676,12805,12808,4722,11235,11476,11585,11611,11655,11661,12614,4723,11365,11479,11588,4724,11482,4725,11540,4726,3434,3713,12570,12611,12697,3877,3662,4557,4558,4672,11721,3812,4026,4072,3699,3954,3586,10636,10755,10836,10909,10912,10952,11052,11302,11916,12238,12305,12383,12424,12499,12502,3964,11972,3502,3598,11803,3775,4699,10524,10527,10553,10676,10854,11060,11075,11193,11633,11731,11915,12133,12138,12359,12362,12445,12617,4710,11846,11877,11912,11919,11952,3951,3722,4094,3546,3547,3521,4696,4669,3903,3706,4711,4279,11608,3835,3557,12088,12091,12535,12639,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,10859,11045,11289,11502,11797,11891,12037,12151,12154,4248,4207,12585,4155,11130,12231,12418,12595,4202,11335,12456,12534,12594,12638,3878,11923,12241,12390,12464,4236,3895,10679,10776,11338,11416,11495,11559,12411,12415,12480,12750,4714,11078,11487,3518,10645,10742,10821,10895,10959,11034,11081,11084,11115,11141,11177,11215,11254,12040,12085,12211,12266,12286,12289,12292,12295,12473,12487,12490,12493,12496,12578,12642,12761,3519,10727,10964,11055,11180,11822,12116,12119,12130,12217,12228,12247,12252,12298,12321,3520,12505,3594,12448,4695,10564,10593,11099,11144,11153,12000,12021,12185,12188,12191,12194,12282,12301,12304,12317,12371,12374,12377,12380,12546,12549,12645,12648,12754,3669,10824,10915,11188,11232,11466,11469,11548,11630,11807,4706,11108,11118,11224,11245,11248,11315,11318,11329,11432,11442,11454,11490,11507,11516,11556,11597,11602,11605,11624,11627,11664,11669,11672,11675,11678,11922,12064,12097,12365,12368,12402,12449,12476,12623,12667,12673,12773,12776,3579,10946,10976,10979,10988,10991,11577,12795,3618,3611,4030,3969,10596,11975,12003,4703,10544,10934,10937,11435,11451,11938,11991,12025,12148,12173,12176,12179,12182,12444,3539,10982,11138,11208,12004,12147,12343,12554,3993,4327,4700,4004,4038,4687,4691,3495,3499,4690,4688,3825,11968,4421,4716,10845,10848,4721,11321,11324,11510,11621,11638,11684,4112,11681,12024,12028,12704,12712,3959,11251,11257,11275,12263,12395,12479,12769,3809,11391,11513,12511,12620,12630,12709,12764,3961,10985,11354,11519,11553,11564,12708,3670,3776,10898,10901,10994,11164,4719,11969,4720,10735,10851,12573,12582,4382,11121,12591,12606,4290,3992,3937,4717,10569,10572,10940,10943,11843,4718,11949,3962,10904,4221,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497,6499,6505,6510,6544,6545,6548,6549,6550,6552,6553,6554,6555,6564,6597,6598,6607,6629,6630,6652,6654,6666,6667,6673,6703,6705,6720,6758,6761,6762,6820,6843,6888,6903,6910,6919,6920,6921,6922,6941,6942,6949,6961,6964,6966,6967,6968,6970,6972,6986,6997,6998,6999,7013,7070,7081,7083,7087,7106,7107,7142,7149,7154,7185,7215,7272,7301,7359,7380,7390,7394,7454,7464,7524,7526,7540,7549,7550,7551,7569,7573,7575,7620,7630,7633,7648,7695,7697,7700,7743,7744,7762,7832,7850,7875,7898,7910,7924,7935,7946,7947,7973,7975,7977,7986,8025,8037,8062,8089,8122,8154,8188,8227,8243,8245,8261,8262,8330,8341,8408,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% 202.92/202.85 cnf(12829,plain,
% 202.92/202.85 (~P1(f318(f318(f179(f927(x128291,f927(x128292,a918))),x128293),x128294))),
% 202.92/202.85 inference(rename_variables,[],[4720])).
% 202.92/202.85 cnf(12835,plain,
% 202.92/202.85 (P1(f318(f318(f225(f927(x128351,a918)),x128352),f233(f927(x128351,a918))))),
% 202.92/202.85 inference(rename_variables,[],[3895])).
% 202.92/202.85 cnf(12838,plain,
% 202.92/202.85 (P1(f318(f318(f320(f926(x128381,x128381)),f318(f318(f243(x128381,x128381),x128382),x128382)),f298(x128381,x128383)))),
% 202.92/202.85 inference(rename_variables,[],[4146])).
% 202.92/202.85 cnf(12841,plain,
% 202.92/202.85 (~P1(f318(f318(f226(a920),f318(f318(f73(a920),x128411),x128412)),x128412))),
% 202.92/202.85 inference(rename_variables,[],[4717])).
% 202.92/202.85 cnf(12842,plain,
% 202.92/202.85 (P1(f318(f318(f226(a920),x128421),f318(a103,x128421)))),
% 202.92/202.85 inference(rename_variables,[],[3586])).
% 202.92/202.85 cnf(12845,plain,
% 202.92/202.85 (P1(f318(f318(f225(f927(x128451,a918)),x128452),f233(f927(x128451,a918))))),
% 202.92/202.85 inference(rename_variables,[],[3895])).
% 202.92/202.85 cnf(12848,plain,
% 202.92/202.85 (E(f318(f275(x128481,x128481),f254(x128481,x128482)),x128482)),
% 202.92/202.85 inference(rename_variables,[],[3479])).
% 202.92/202.85 cnf(12855,plain,
% 202.92/202.85 (P1(f318(f318(f320(f926(f926(f921(x128551),f921(x128551)),f926(f921(x128551),f921(x128551)))),f538(f298(f926(f921(x128551),f921(x128551)),x128552),f136(x128551,x128553),f926(f921(x128551),f921(x128551)))),f298(f926(f921(x128551),f921(x128551)),x128552)))),
% 202.92/202.85 inference(scs_inference,[],[3562,4170,12791,3753,11406,12459,12564,12567,12659,12701,12705,12713,3762,3769,3489,4681,4682,3386,3389,3390,4680,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,10870,11183,11376,11379,11398,11401,11594,11695,11702,11716,11762,11765,11787,11804,11819,11882,11939,11955,12242,12267,12283,12312,12318,12412,12527,12694,3574,3721,12214,3439,4667,10716,10816,11286,4673,3127,3128,3130,3131,3134,3135,3137,3138,3139,3141,3145,3146,3150,3151,3153,3154,3156,3165,3166,3175,3176,3188,3210,3213,3219,3231,3237,3243,3244,3257,3270,3273,3274,3277,3283,3299,3409,3410,3313,4659,3851,4076,11986,3363,11692,3479,10556,10559,10652,10655,10973,11707,11710,11830,11869,11874,11981,12433,12635,3450,12726,12730,12734,3456,3465,3971,4272,3585,3353,3715,4062,11738,3416,3349,3376,3830,3372,3359,3983,3396,3575,11133,11260,12528,12745,3449,4144,4675,10547,10713,11591,11790,12686,12727,4678,12698,3509,12067,4704,11312,11411,11647,11650,3622,4684,3413,3414,10617,10949,3674,3331,3435,11728,4286,12716,4146,11332,11463,11522,12670,12676,12805,12808,12838,4722,11235,11476,11585,11611,11655,11661,12614,4723,11365,11479,11588,4724,11482,4725,11540,4726,3434,3713,12570,12611,12697,3877,3662,4557,4558,4672,11721,3812,4026,4072,3699,3954,3586,10636,10755,10836,10909,10912,10952,11052,11302,11916,12238,12305,12383,12424,12499,12502,3964,11972,3502,3598,11803,3775,4699,10524,10527,10553,10676,10854,11060,11075,11193,11633,11731,11915,12133,12138,12359,12362,12445,12617,4710,11846,11877,11912,11919,11952,3951,3722,4094,3546,3547,3521,4696,4669,3903,3706,4711,4279,11608,3835,3557,12088,12091,12535,12639,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,10859,11045,11289,11502,11797,11891,12037,12151,12154,4248,4207,12585,4155,11130,12231,12418,12595,4202,11335,12456,12534,12594,12638,3878,11923,12241,12390,12464,4236,3895,10679,10776,11338,11416,11495,11559,12411,12415,12480,12750,12815,12835,4714,11078,11487,3518,10645,10742,10821,10895,10959,11034,11081,11084,11115,11141,11177,11215,11254,12040,12085,12211,12266,12286,12289,12292,12295,12473,12487,12490,12493,12496,12578,12642,12761,3519,10727,10964,11055,11180,11822,12116,12119,12130,12217,12228,12247,12252,12298,12321,3520,12505,3594,12448,4695,10564,10593,11099,11144,11153,12000,12021,12185,12188,12191,12194,12282,12301,12304,12317,12371,12374,12377,12380,12546,12549,12645,12648,12754,3669,10824,10915,11188,11232,11466,11469,11548,11630,11807,4706,11108,11118,11224,11245,11248,11315,11318,11329,11432,11442,11454,11490,11507,11516,11556,11597,11602,11605,11624,11627,11664,11669,11672,11675,11678,11922,12064,12097,12365,12368,12402,12449,12476,12623,12667,12673,12773,12776,3579,10946,10976,10979,10988,10991,11577,12795,3618,3611,4030,3969,10596,11975,12003,4703,10544,10934,10937,11435,11451,11938,11991,12025,12148,12173,12176,12179,12182,12444,3539,10982,11138,11208,12004,12147,12343,12554,3993,4327,4700,4004,4038,4687,4691,3495,3499,4690,4688,3825,11968,4421,4716,10845,10848,4721,11321,11324,11510,11621,11638,11684,4112,11681,12024,12028,12704,12712,3959,11251,11257,11275,12263,12395,12479,12769,3809,11391,11513,12511,12620,12630,12709,12764,4284,3961,10985,11354,11519,11553,11564,12708,3670,3776,10898,10901,10994,11164,4719,11969,4720,10735,10851,12573,12582,12626,12829,4382,11121,12591,12606,4290,3992,3937,4717,10569,10572,10940,10943,11843,12029,4718,11949,3962,10904,4221,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497,6499,6505,6510,6544,6545,6548,6549,6550,6552,6553,6554,6555,6564,6597,6598,6607,6629,6630,6652,6654,6666,6667,6673,6703,6705,6720,6758,6761,6762,6820,6843,6888,6903,6910,6919,6920,6921,6922,6941,6942,6949,6961,6964,6966,6967,6968,6970,6972,6986,6997,6998,6999,7013,7070,7081,7083,7087,7106,7107,7142,7149,7154,7185,7215,7272,7301,7359,7380,7390,7394,7454,7464,7524,7526,7540,7549,7550,7551,7569,7573,7575,7620,7630,7633,7648,7695,7697,7700,7743,7744,7762,7832,7850,7875,7898,7910,7924,7935,7946,7947,7973,7975,7977,7986,8025,8037,8062,8089,8122,8154,8188,8227,8243,8245,8261,8262,8330,8341,8408,8432,8451,8478,8517,8518,8536,8575,8577,8579,8586,8601,8605,8620,8643,8651,8653,8663,8668,8672,8673,8674,8675,8676,8677,8699,8713,8714,8732,8733,8738,8739,8740,8741,8742,8760,8761,8762,8773,8786,8789,8800,8805,8807,8809,8810,8811,8818,8824,8832,8835,8852,8853,8862,8863,8871,8890,8903,8907,8928,8950,8951,8954,8955,8961,8971,8972,8995,9006,9016,9017,9018,9021,9044,9045,9056,9108,9118,9120,9136,9148,9149,9150,9161,9227,9258,9259,9260,9275,9292,9300,9328,9329,9400,9433,9439,9449,9450,9451,9461,9490,9506,9510,9514,9537,9538,9565,9630,9635,9638,9671,9672,9673,9697,9698,9714,9735,9741,9753,9778,9799,9808,9809,9810,9811,9827,9829,9834,9864,9865,9871,9872,9918,9919,9930,9931,9955,9974,9976,9977,9986,9991,10000,10025,10059,10061,10065,10115,10149,10159,10161,10165,10166,10168,10177,10178,10198,10203,10297,10384,10385,10386,10387,10449,10468,2,8,9,4746,4747,4765,4807,4808,4810,4833,4835,4836,4846,4891,4893,4941,5071,5072,5086,5110,5165,5166,5172,5173,5175,5177,5186,5189,5190,5198,5211,5212,5218,5239,5240,5261,5266,5267,5268,5269,5273,5281,5284,5292,5293,5294,5350,5355,5356,5361,5367,5397,5407,5412,5422,5440,5441,5448,5449,5451,5462,5480,5482,5483,5490,5497,5498,5510,5511,5512,5513,5515,5516,5521,5522,5523,5524,5554,5555,5556,5564,5565,5566,5567,5610,5615,5617,5653,5655,5656,5658,5659,5661,5662,5664,5673,5678,5679,5680,5682,5684,5685,5686,5687,5688,5689,5698,5708,5711,5722,5738,5739,5742,5753,5756,5757,5758,5785,5795,5811,5812,5821,5822,5824,5826,5831,5866,5871,5873,5932,5967,5968,5973,5979,5982,5983,5984,5985,6005,6010,6011,6020,6042,6075,6094,6095,6099,6100,6102,6125,6129,6132,6133,6134,6150,6165,6166,6198,6199,6203,6224,6227,6230,6252,6253,6281,6284,6293,6303,6311,6315,6323,6324,6325,6326,6358,6376,6428,6465,6467,6468,6490,6491,6498,6502,6503,6506,6521,6536,6557,6558,6565,6575,6590,6610,6617,6619,6634,6635,6638,6639,6641,6643,6644,6645,6647,6649,6653,6659,6660,6662,6663,6669,6671,6713,6719,6734,6737,6738,6739,6776,6781,6783,6788,6789,6799,6802,6815,6838,6839,6841,6842,6854,6860,6880,6883,6904,6923,6932,6935,6936,6937,6943,6957,6976,6978,6980,6982,6987,6993,6995,7010,7015,7016,7055,7056,7057,7072,7073,7075,7076,7097,7098,7113,7140,7162,7174,7176,7178,7180,7181,7212,7213,7214,7218,7219,7226,7227,7229,7231,7253,7263,7264,7275,7285,7325,7336,7342,7349,7360,7365,7367,7374,7383,7384,7398,7415,7436,7438,7457,7510,7511,7512,7514,7516,7520,7525,7588,7616,7631,7647,7678,7681,7688,7703,7727,7745,7748,7749,7759,7779,7781,7783,7785,7786,7787,7788,7789,7814,7840,7841,7874,7876,7877,7878,7883,7904,7921,7926,7932,7934,7942,7954,7955,7957,7978,7984,8006,8075,8076,8077,8125,8132,8133,8156,8157,8174,8175,8176,8234,8235,8264,8294,8304,8318,8333,8364,8368,8374,8386,8404,8409,8431,8476,8505,8519,8539,8542,8568,8595,8654,8655,8658,8659,8730,8764,8765,8766,8767,8795,8827,8856,8864,8865,8906,8927,8973,8989,9035,9038,9053,9060,9105,9144,9145,9163,9164,9178,9297,9302,9306,9326,9337,9362,9364,9367,9373,9375,9376,9386,9387,9407,9415,9425,9432,9475,9494,9515,9550,9551,9557,9596,9622,9627,9667,9677,9680,9681,9683,9684,9696,9719,9734,9743,9744,9746])).
% 202.92/202.85 cnf(12859,plain,
% 202.92/202.85 (~P1(f318(f318(f320(x128591),x128592),f179(f927(x128591,a918))))),
% 202.92/202.85 inference(rename_variables,[],[4706])).
% 202.92/202.85 cnf(12860,plain,
% 202.92/202.85 (P1(f318(f318(f320(f926(f921(x128601),f921(x128601))),f318(f318(f243(f921(x128601),f921(x128601)),f104(x128601)),f104(x128601))),f149(x128601,x128602)))),
% 202.92/202.85 inference(rename_variables,[],[4286])).
% 202.92/202.85 cnf(12862,plain,
% 202.92/202.85 (P1(f318(f318(f320(f926(a920,a920)),f318(f318(f243(a920,a920),f2(a920)),f318(a103,f2(a920)))),f318(f318(f280(a920,a920,a920),f298(a920,a308)),f298(a920,f298(a920,a308)))))),
% 202.92/202.86 inference(scs_inference,[],[3562,4170,12791,3753,11406,12459,12564,12567,12659,12701,12705,12713,3762,3769,3489,4681,4682,3386,3389,3390,4680,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,10870,11183,11376,11379,11398,11401,11594,11695,11702,11716,11762,11765,11787,11804,11819,11882,11939,11955,12242,12267,12283,12312,12318,12412,12527,12694,3574,3721,12214,3439,4667,10716,10816,11286,4673,3127,3128,3130,3131,3134,3135,3137,3138,3139,3141,3145,3146,3150,3151,3153,3154,3156,3165,3166,3175,3176,3188,3210,3213,3219,3231,3237,3243,3244,3257,3270,3273,3274,3277,3283,3299,3409,3410,3313,4659,3851,4076,11986,3363,11692,3479,10556,10559,10652,10655,10973,11707,11710,11830,11869,11874,11981,12433,12635,3450,12726,12730,12734,3456,3465,3971,4272,3585,3353,3715,4062,11738,3416,3349,3376,3830,3372,3359,3983,3396,3575,11133,11260,12528,12745,3449,4144,4675,10547,10713,11591,11790,12686,12727,4678,12698,3509,12067,4704,11312,11411,11647,11650,3622,4684,3413,3414,10617,10949,3674,3331,3435,11728,4286,12716,4146,11332,11463,11522,12670,12676,12805,12808,12838,4722,11235,11476,11585,11611,11655,11661,12614,4723,11365,11479,11588,4724,11482,4725,11540,4726,3434,3713,12570,12611,12697,3877,3662,4557,4558,4672,11721,3812,4026,4072,3699,3954,3586,10636,10755,10836,10909,10912,10952,11052,11302,11916,12238,12305,12383,12424,12499,12502,3964,11972,3502,3598,11803,3775,4699,10524,10527,10553,10676,10854,11060,11075,11193,11633,11731,11915,12133,12138,12359,12362,12445,12617,4710,11846,11877,11912,11919,11952,3951,3722,4094,3546,3547,3521,4696,4669,3903,3706,4711,4279,11608,3835,3557,12088,12091,12535,12639,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,10859,11045,11289,11502,11797,11891,12037,12151,12154,4248,4207,12585,4155,11130,12231,12418,12595,4202,11335,12456,12534,12594,12638,3878,11923,12241,12390,12464,4236,3895,10679,10776,11338,11416,11495,11559,12411,12415,12480,12750,12815,12835,4714,11078,11487,3518,10645,10742,10821,10895,10959,11034,11081,11084,11115,11141,11177,11215,11254,12040,12085,12211,12266,12286,12289,12292,12295,12473,12487,12490,12493,12496,12578,12642,12761,3519,10727,10964,11055,11180,11822,12116,12119,12130,12217,12228,12247,12252,12298,12321,3520,12505,3594,12448,4695,10564,10593,11099,11144,11153,12000,12021,12185,12188,12191,12194,12282,12301,12304,12317,12371,12374,12377,12380,12546,12549,12645,12648,12754,3669,10824,10915,11188,11232,11466,11469,11548,11630,11807,4706,11108,11118,11224,11245,11248,11315,11318,11329,11432,11442,11454,11490,11507,11516,11556,11597,11602,11605,11624,11627,11664,11669,11672,11675,11678,11922,12064,12097,12365,12368,12402,12449,12476,12623,12667,12673,12773,12776,12798,3579,10946,10976,10979,10988,10991,11577,12795,3618,3611,4030,3969,10596,11975,12003,4703,10544,10934,10937,11435,11451,11938,11991,12025,12148,12173,12176,12179,12182,12444,3539,10982,11138,11208,12004,12147,12343,12554,3993,4327,4700,4004,4038,4687,4691,3495,3499,4690,4688,3825,11968,4421,4716,10845,10848,4721,11321,11324,11510,11621,11638,11684,4112,11681,12024,12028,12704,12712,3959,11251,11257,11275,12263,12395,12479,12769,3809,11391,11513,12511,12620,12630,12709,12764,4284,3961,10985,11354,11519,11553,11564,12708,3670,3776,10898,10901,10994,11164,4719,11969,4720,10735,10851,12573,12582,12626,12829,4382,11121,12591,12606,4290,3992,3937,4717,10569,10572,10940,10943,11843,12029,4718,11949,3962,10904,4221,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497,6499,6505,6510,6544,6545,6548,6549,6550,6552,6553,6554,6555,6564,6597,6598,6607,6629,6630,6652,6654,6666,6667,6673,6703,6705,6720,6758,6761,6762,6820,6843,6888,6903,6910,6919,6920,6921,6922,6941,6942,6949,6961,6964,6966,6967,6968,6970,6972,6986,6997,6998,6999,7013,7070,7081,7083,7087,7106,7107,7142,7149,7154,7185,7215,7272,7301,7359,7380,7390,7394,7454,7464,7524,7526,7540,7549,7550,7551,7569,7573,7575,7620,7630,7633,7648,7695,7697,7700,7743,7744,7762,7832,7850,7875,7898,7910,7924,7935,7946,7947,7973,7975,7977,7986,8025,8037,8062,80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% 202.92/202.86 cnf(12865,plain,
% 202.92/202.86 (~P1(f318(f318(f320(x128651),x128652),f179(f927(x128651,a918))))),
% 202.92/202.86 inference(rename_variables,[],[4706])).
% 202.92/202.86 cnf(12870,plain,
% 202.92/202.86 (P33(x128701,x128702,f104(x128701))),
% 202.92/202.86 inference(rename_variables,[],[3455])).
% 202.92/202.86 cnf(12873,plain,
% 202.92/202.86 (E(f318(f180(f921(x128731)),f160(x128731,x128732,x128733)),x128732)),
% 202.92/202.86 inference(rename_variables,[],[3585])).
% 202.92/202.86 cnf(12876,plain,
% 202.92/202.86 (~P1(f318(f318(f320(x128761),x128762),f179(f927(x128761,a918))))),
% 202.92/202.86 inference(rename_variables,[],[4706])).
% 202.92/202.86 cnf(12880,plain,
% 202.92/202.86 (~P1(f318(f318(f320(f926(f921(x128801),f921(x128801))),f318(f318(f243(f921(x128801),f921(x128801)),x128802),x128802)),f138(x128801,f144(x128801,f104(f927(x128801,a920))))))),
% 202.92/202.86 inference(scs_inference,[],[3562,4170,12791,3753,11406,12459,12564,12567,12659,12701,12705,12713,3762,3769,3489,3455,4681,4682,3386,3389,3390,4680,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,10870,11183,11376,11379,11398,11401,11594,11695,11702,11716,11762,11765,11787,11804,11819,11882,11939,11955,12242,12267,12283,12312,12318,12412,12527,12694,3574,3721,12214,3439,4667,10716,10816,11286,4673,3127,3128,3130,3131,3134,3135,3137,3138,3139,3141,3145,3146,3150,3151,3153,3154,3156,3165,3166,3175,3176,3188,3210,3213,3219,3231,3237,3243,3244,3257,3270,3273,3274,3277,3283,3299,3409,3410,3313,4659,3851,4076,11986,3363,11692,3479,10556,10559,10652,10655,10973,11707,11710,11830,11869,11874,11981,12433,12635,3450,12726,12730,12734,3456,3465,3971,4272,3585,12788,3353,3715,4062,11738,3416,3349,3376,3830,3372,3359,3983,3396,3575,11133,11260,12528,12745,3449,4144,4675,10547,10713,11591,11790,12686,12727,4678,12698,3509,12067,4704,11312,11411,11647,11650,3622,4684,3413,3414,10617,10949,3674,3331,3435,11728,4286,12716,12860,4146,11332,11463,11522,12670,12676,12805,12808,12838,4722,11235,11476,11585,11611,11655,11661,12614,4723,11365,11479,11588,4724,11482,4725,11540,4726,3434,3713,12570,12611,12697,3877,3662,4557,4558,4672,11721,3812,4026,4072,3699,3954,3586,10636,10755,10836,10909,10912,10952,11052,11302,11916,12238,12305,12383,12424,12499,12502,3964,11972,3502,3598,11803,3775,4699,10524,10527,10553,10676,10854,11060,11075,11193,11633,11731,11915,12133,12138,12359,12362,12445,12617,4710,11846,11877,11912,11919,11952,3951,3722,4094,3546,3547,3521,4696,4669,3903,3706,4711,4279,11608,3835,3557,12088,12091,12535,12639,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,10859,11045,11289,11502,11797,11891,12037,12151,12154,4248,4207,12585,4155,11130,12231,12418,12595,4202,11335,12456,12534,12594,12638,3878,11923,12241,12390,12464,4236,3895,10679,10776,11338,11416,11495,11559,12411,12415,12480,12750,12815,12835,4714,11078,11487,3518,10645,10742,10821,10895,10959,11034,11081,11084,11115,11141,11177,11215,11254,12040,12085,12211,12266,12286,12289,12292,12295,12473,12487,12490,12493,12496,12578,12642,12761,3519,10727,10964,11055,11180,11822,12116,12119,12130,12217,12228,12247,12252,12298,12321,3520,12505,3594,12448,4695,10564,10593,11099,11144,11153,12000,12021,12185,12188,12191,12194,12282,12301,12304,12317,12371,12374,12377,12380,12546,12549,12645,12648,12754,12794,3669,10824,10915,11188,11232,11466,11469,11548,11630,11807,4706,11108,11118,11224,11245,11248,11315,11318,11329,11432,11442,11454,11490,11507,11516,11556,11597,11602,11605,11624,11627,11664,11669,11672,11675,11678,11922,12064,12097,12365,12368,12402,12449,12476,12623,12667,12673,12773,12776,12798,12859,12865,3579,10946,10976,10979,10988,10991,11577,12795,3618,3611,4030,3969,10596,11975,12003,4703,10544,10934,10937,11435,11451,11938,11991,12025,12148,12173,12176,12179,12182,12444,3539,10982,11138,11208,12004,12147,12343,12554,3993,4327,4700,4004,4038,4687,4691,3495,3499,4690,4688,3825,11968,4421,11829,4716,10845,10848,4721,11321,11324,11510,11621,11638,11684,4112,11681,12024,12028,12704,12712,3959,11251,11257,11275,12263,12395,12479,12769,3809,11391,11513,12511,12620,12630,12709,12764,4284,3961,10985,11354,11519,11553,11564,12708,3670,3776,10898,10901,10994,11164,4719,11969,4720,10735,10851,12573,12582,12626,12829,4382,11121,12591,12606,4290,3992,3937,4717,10569,10572,10940,10943,11843,12029,4718,11949,3962,10904,4221,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497,6499,6505,6510,6544,6545,6548,6549,6550,6552,6553,6554,6555,6564,6597,6598,6607,6629,6630,6652,6654,6666,6667,6673,6703,6705,6720,6758,6761,6762,6820,6843,6888,6903,6910,6919,6920,6921,6922,6941,6942,6949,6961,6964,6966,6967,6968,6970,6972,6986,6997,6998,6999,7013,7070,7081,7083,7087,7106,7107,7142,7149,7154,7185,7215,7272,7301,7359,7380,7390,7394,7454,7464,7524,7526,7540,7549,7550,7551,7569,7573,7575,7620,7630,7633,7648,7695,7697,7700,7743,7744,7762,7832,7850,7875,7898,7910,7924,7935,7946,7947,7973,7975,7977,7986,8025,8037,8062,8089,8122,8154,8188,8227,8243,8245,8261,8262,8330,8341,8408,8432,8451,8478,8517,8518,8536,8575,8577,8579,8586,8601,8605,8620,8643,8651,8653,8663,8668,8672,8673,8674,8675,8676,8677,8699,8713,8714,8732,8733,8738,8739,8740,8741,8742,8760,8761,8762,8773,8786,8789,8800,8805,8807,8809,8810,8811,8818,8824,8832,8835,8852,8853,8862,8863,8871,8890,8903,8907,8928,8950,8951,8954,8955,8961,8971,8972,8995,9006,9016,9017,9018,9021,9044,9045,9056,9108,9118,9120,9136,9148,9149,9150,9161,9227,9258,9259,9260,9275,9292,9300,9328,9329,9400,9433,9439,9449,9450,9451,9461,9490,9506,9510,9514,9537,9538,9565,9630,9635,9638,9671,9672,9673,9697,9698,9714,9735,9741,9753,9778,9799,9808,9809,9810,9811,9827,9829,9834,9864,9865,9871,9872,9918,9919,9930,9931,9955,9974,9976,9977,9986,9991,10000,10025,10059,10061,10065,10115,10149,10159,10161,10165,10166,10168,10177,10178,10198,10203,10297,10384,10385,10386,10387,10449,10468,2,8,9,4746,4747,4765,4807,4808,4810,4833,4835,4836,4846,4891,4893,4941,5071,5072,5086,5110,5165,5166,5172,5173,5175,5177,5186,5189,5190,5198,5211,5212,5218,5239,5240,5261,5266,5267,5268,5269,5273,5281,5284,5292,5293,5294,5350,5355,5356,5361,5367,5397,5407,5412,5422,5440,5441,5448,5449,5451,5462,5480,5482,5483,5490,5497,5498,5510,5511,5512,5513,5515,5516,5521,5522,5523,5524,5554,5555,5556,5564,5565,5566,5567,5610,5615,5617,5653,5655,5656,5658,5659,5661,5662,5664,5673,5678,5679,5680,5682,5684,5685,5686,5687,5688,5689,5698,5708,5711,5722,5738,5739,5742,5753,5756,5757,5758,5785,5795,5811,5812,5821,5822,5824,5826,5831,5866,5871,5873,5932,5967,5968,5973,5979,5982,5983,5984,5985,6005,6010,6011,6020,6042,6075,6094,6095,6099,6100,6102,6125,6129,6132,6133,6134,6150,6165,6166,6198,6199,6203,6224,6227,6230,6252,6253,6281,6284,6293,6303,6311,6315,6323,6324,6325,6326,6358,6376,6428,6465,6467,6468,6490,6491,6498,6502,6503,6506,6521,6536,6557,6558,6565,6575,6590,6610,6617,6619,6634,6635,6638,6639,6641,6643,6644,6645,6647,6649,6653,6659,6660,6662,6663,6669,6671,6713,6719,6734,6737,6738,6739,6776,6781,6783,6788,6789,6799,6802,6815,6838,6839,6841,6842,6854,6860,6880,6883,6904,6923,6932,6935,6936,6937,6943,6957,6976,6978,6980,6982,6987,6993,6995,7010,7015,7016,7055,7056,7057,7072,7073,7075,7076,7097,7098,7113,7140,7162,7174,7176,7178,7180,7181,7212,7213,7214,7218,7219,7226,7227,7229,7231,7253,7263,7264,7275,7285,7325,7336,7342,7349,7360,7365,7367,7374,7383,7384,7398,7415,7436,7438,7457,7510,7511,7512,7514,7516,7520,7525,7588,7616,7631,7647,7678,7681,7688,7703,7727,7745,7748,7749,7759,7779,7781,7783,7785,7786,7787,7788,7789,7814,7840,7841,7874,7876,7877,7878,7883,7904,7921,7926,7932,7934,7942,7954,7955,7957,7978,7984,8006,8075,8076,8077,8125,8132,8133,8156,8157,8174,8175,8176,8234,8235,8264,8294,8304,8318,8333,8364,8368,8374,8386,8404,8409,8431,8476,8505,8519,8539,8542,8568,8595,8654,8655,8658,8659,8730,8764,8765,8766,8767,8795,8827,8856,8864,8865,8906,8927,8973,8989,9035,9038,9053,9060,9105,9144,9145,9163,9164,9178,9297,9302,9306,9326,9337,9362,9364,9367,9373,9375,9376,9386,9387,9407,9415,9425,9432,9475,9494,9515,9550,9551,9557,9596,9622,9627,9667,9677,9680,9681,9683,9684,9696,9719,9734,9743,9744,9746,9748,9777,9899,9900,9950,9951,9992,10030,10140])).
% 202.92/202.86 cnf(12882,plain,
% 202.92/202.86 (~P1(f318(f318(f226(a920),x128821),x128821))),
% 202.92/202.86 inference(rename_variables,[],[4695])).
% 202.92/202.86 cnf(12884,plain,
% 202.92/202.86 (P1(f318(f318(f320(f926(f921(x128841),f921(x128841))),f318(f318(f243(f921(x128841),f921(x128841)),f160(x128841,f318(f180(f921(x128841)),x128842),x128843)),x128842)),f149(x128841,f233(f927(f926(x128841,x128841),a918)))))),
% 202.92/202.86 inference(scs_inference,[],[3562,4170,12791,3753,11406,12459,12564,12567,12659,12701,12705,12713,3762,3769,3489,3455,4681,4682,3386,3389,3390,4680,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,10870,11183,11376,11379,11398,11401,11594,11695,11702,11716,11762,11765,11787,11804,11819,11882,11939,11955,12242,12267,12283,12312,12318,12412,12527,12694,3574,3721,12214,3439,4667,10716,10816,11286,4673,3127,3128,3130,3131,3134,3135,3137,3138,3139,3141,3145,3146,3150,3151,3153,3154,3156,3165,3166,3175,3176,3188,3210,3213,3219,3231,3237,3243,3244,3257,3270,3273,3274,3277,3283,3299,3409,3410,3313,4659,3851,4076,11986,3363,11692,3479,10556,10559,10652,10655,10973,11707,11710,11830,11869,11874,11981,12433,12635,3450,12726,12730,12734,3456,3465,3971,4272,3585,12788,12873,3353,3715,4062,11738,3416,3349,3376,3830,3372,3359,3983,3396,3575,11133,11260,12528,12745,3449,4144,4675,10547,10713,11591,11790,12686,12727,4678,12698,3509,12067,4704,11312,11411,11647,11650,3622,4684,3413,3414,10617,10949,3674,3331,3435,11728,4286,12716,12860,4146,11332,11463,11522,12670,12676,12805,12808,12838,4722,11235,11476,11585,11611,11655,11661,12614,4723,11365,11479,11588,4724,11482,4725,11540,4726,3434,3713,12570,12611,12697,3877,3662,4557,4558,4672,11721,3812,4026,4072,3699,3954,3586,10636,10755,10836,10909,10912,10952,11052,11302,11916,12238,12305,12383,12424,12499,12502,3964,11972,3502,3598,11803,3775,4699,10524,10527,10553,10676,10854,11060,11075,11193,11633,11731,11915,12133,12138,12359,12362,12445,12617,4710,11846,11877,11912,11919,11952,3951,3722,4094,3546,3547,3521,4696,4669,3903,3706,4711,4279,11608,3835,3557,12088,12091,12535,12639,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,10859,11045,11289,11502,11797,11891,12037,12151,12154,4248,4207,12585,4155,11130,12231,12418,12595,4202,11335,12456,12534,12594,12638,3878,11923,12241,12390,12464,4236,3895,10679,10776,11338,11416,11495,11559,12411,12415,12480,12750,12815,12835,4714,11078,11487,3518,10645,10742,10821,10895,10959,11034,11081,11084,11115,11141,11177,11215,11254,12040,12085,12211,12266,12286,12289,12292,12295,12473,12487,12490,12493,12496,12578,12642,12761,3519,10727,10964,11055,11180,11822,12116,12119,12130,12217,12228,12247,12252,12298,12321,3520,12505,3594,12448,4695,10564,10593,11099,11144,11153,12000,12021,12185,12188,12191,12194,12282,12301,12304,12317,12371,12374,12377,12380,12546,12549,12645,12648,12754,12794,3669,10824,10915,11188,11232,11466,11469,11548,11630,11807,12693,4706,11108,11118,11224,11245,11248,11315,11318,11329,11432,11442,11454,11490,11507,11516,11556,11597,11602,11605,11624,11627,11664,11669,11672,11675,11678,11922,12064,12097,12365,12368,12402,12449,12476,12623,12667,12673,12773,12776,12798,12859,12865,3579,10946,10976,10979,10988,10991,11577,12795,3618,3611,4030,3969,10596,11975,12003,4703,10544,10934,10937,11435,11451,11938,11991,12025,12148,12173,12176,12179,12182,12444,3539,10982,11138,11208,12004,12147,12343,12554,3993,4327,4700,4004,4038,4687,4691,3495,3499,4690,4688,3825,11968,4421,11829,4716,10845,10848,4721,11321,11324,11510,11621,11638,11684,4112,11681,12024,12028,12704,12712,3959,11251,11257,11275,12263,12395,12479,12769,3809,11391,11513,12511,12620,12630,12709,12764,4284,3961,10985,11354,11519,11553,11564,12708,3670,3776,10898,10901,10994,11164,4719,11969,4720,10735,10851,12573,12582,12626,12829,4382,11121,12591,12606,4290,3992,3937,4717,10569,10572,10940,10943,11843,12029,4718,11949,3962,10904,4221,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497,6499,6505,6510,6544,6545,6548,6549,6550,6552,6553,6554,6555,6564,6597,6598,6607,6629,6630,6652,6654,6666,6667,6673,6703,6705,6720,6758,6761,6762,6820,6843,6888,6903,6910,6919,6920,6921,6922,6941,6942,6949,6961,6964,6966,6967,6968,6970,6972,6986,6997,6998,6999,7013,7070,7081,7083,7087,7106,7107,7142,7149,7154,7185,7215,7272,7301,7359,7380,7390,7394,7454,7464,7524,7526,7540,7549,7550,7551,7569,7573,7575,7620,7630,7633,7648,7695,7697,7700,7743,7744,7762,7832,7850,7875,7898,7910,7924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% 202.92/202.86 cnf(12885,plain,
% 202.92/202.86 (P1(f318(f318(f320(x128851),x128852),f233(f927(x128851,a918))))),
% 202.92/202.86 inference(rename_variables,[],[3669])).
% 202.92/202.86 cnf(12889,plain,
% 202.92/202.86 (P1(f318(f318(f225(f927(x128891,a918)),x128892),x128892))),
% 202.92/202.86 inference(rename_variables,[],[3809])).
% 202.92/202.86 cnf(12892,plain,
% 202.92/202.86 (~P1(f318(f318(f320(x128921),x128922),f179(f927(x128921,a918))))),
% 202.92/202.86 inference(rename_variables,[],[4706])).
% 202.92/202.86 cnf(12895,plain,
% 202.92/202.86 (P1(f318(f318(f225(a1),f2(a1)),f318(f318(f235(a1),f318(f69(a1),x128951)),x128952)))),
% 202.92/202.86 inference(rename_variables,[],[3992])).
% 202.92/202.86 cnf(12898,plain,
% 202.92/202.86 (~E(f318(a103,x128981),x128981)),
% 202.92/202.86 inference(rename_variables,[],[4661])).
% 202.92/202.86 cnf(12900,plain,
% 202.92/202.86 (E(f318(f275(x129001,x129001),f254(x129001,x129002)),x129002)),
% 202.92/202.86 inference(rename_variables,[],[3479])).
% 202.92/202.86 cnf(12902,plain,
% 202.92/202.86 (P25(x129021,x129021,f7(x129021),x129022)),
% 202.92/202.86 inference(rename_variables,[],[3753])).
% 202.92/202.86 cnf(12904,plain,
% 202.92/202.86 (P25(x129041,x129041,f7(x129041),x129042)),
% 202.92/202.86 inference(rename_variables,[],[3753])).
% 202.92/202.86 cnf(12914,plain,
% 202.92/202.86 (E(f318(f275(x129141,x129141),f254(x129141,x129142)),x129142)),
% 202.92/202.86 inference(rename_variables,[],[3479])).
% 202.92/202.86 cnf(12916,plain,
% 202.92/202.86 (E(f318(f275(x129161,x129161),f254(x129161,x129162)),x129162)),
% 202.92/202.86 inference(rename_variables,[],[3479])).
% 202.92/202.86 cnf(12918,plain,
% 202.92/202.86 (E(f318(f275(x129181,x129181),f254(x129181,x129182)),x129182)),
% 202.92/202.86 inference(rename_variables,[],[3479])).
% 202.92/202.86 cnf(12924,plain,
% 202.92/202.86 (P56(x129241,x129242,f254(x129241,x129242))),
% 202.92/202.86 inference(rename_variables,[],[3488])).
% 202.92/202.86 cnf(12926,plain,
% 202.92/202.86 (P56(x129261,x129262,f254(x129261,x129262))),
% 202.92/202.86 inference(rename_variables,[],[3488])).
% 202.92/202.86 cnf(12928,plain,
% 202.92/202.86 (P56(x129281,x129282,f254(x129281,x129282))),
% 202.92/202.86 inference(rename_variables,[],[3488])).
% 202.92/202.86 cnf(12930,plain,
% 202.92/202.86 (E(f318(f275(x129301,x129301),f254(x129301,x129302)),x129302)),
% 202.92/202.86 inference(rename_variables,[],[3479])).
% 202.92/202.86 cnf(12937,plain,
% 202.92/202.86 (E(f318(f275(x129371,x129371),f254(x129371,x129372)),x129372)),
% 202.92/202.86 inference(rename_variables,[],[3479])).
% 202.92/202.86 cnf(12945,plain,
% 202.92/202.86 (E(f318(f275(x129451,x129451),f254(x129451,x129452)),x129452)),
% 202.92/202.86 inference(rename_variables,[],[3479])).
% 202.92/202.86 cnf(12947,plain,
% 202.92/202.86 (P39(x129471,f144(x129471,x129472))),
% 202.92/202.86 inference(rename_variables,[],[3386])).
% 202.92/202.86 cnf(12953,plain,
% 202.92/202.86 (E(f179(f927(f926(x129531,x129531),a918)),f254(x129531,f179(f927(x129531,a918))))),
% 202.92/202.86 inference(rename_variables,[],[3589])).
% 202.92/202.86 cnf(12955,plain,
% 202.92/202.86 (P26(x129551,x129551,f25(x129551),x129552,x129552)),
% 202.92/202.86 inference(rename_variables,[],[4170])).
% 202.92/202.86 cnf(12957,plain,
% 202.92/202.86 (P26(x129571,x129571,f25(x129571),x129572,x129572)),
% 202.92/202.86 inference(rename_variables,[],[4170])).
% 202.92/202.86 cnf(12959,plain,
% 202.92/202.86 (P26(x129591,x129591,f25(x129591),x129592,x129592)),
% 202.92/202.86 inference(rename_variables,[],[4170])).
% 202.92/202.86 cnf(12972,plain,
% 202.92/202.86 (E(f179(f927(f926(x129721,x129721),a918)),f254(x129721,f179(f927(x129721,a918))))),
% 202.92/202.86 inference(rename_variables,[],[3589])).
% 202.92/202.86 cnf(12974,plain,
% 202.92/202.86 (E(f179(f927(f926(x129741,x129741),a918)),f254(x129741,f179(f927(x129741,a918))))),
% 202.92/202.86 inference(rename_variables,[],[3589])).
% 202.92/202.86 cnf(12983,plain,
% 202.92/202.86 (P55(x129831,f254(x129831,x129832))),
% 202.92/202.86 inference(rename_variables,[],[3390])).
% 202.92/202.86 cnf(12988,plain,
% 202.92/202.86 (P58(x129881,x129881,f254(x129881,x129882))),
% 202.92/202.86 inference(rename_variables,[],[3489])).
% 202.92/202.86 cnf(12994,plain,
% 202.92/202.86 (P45(x129941,x129942,x129943,x129944,f179(f927(x129941,a918)),x129944)),
% 202.92/202.86 inference(rename_variables,[],[4443])).
% 202.92/202.86 cnf(13001,plain,
% 202.92/202.86 (P40(x130011,f254(x130011,x130012))),
% 202.92/202.86 inference(rename_variables,[],[3387])).
% 202.92/202.86 cnf(13005,plain,
% 202.92/202.86 (E(f318(f275(x130051,x130051),f254(x130051,x130052)),x130052)),
% 202.92/202.86 inference(rename_variables,[],[3479])).
% 202.92/202.86 cnf(13007,plain,
% 202.92/202.86 (P59(x130071,f179(f927(x130071,a918)),x130072)),
% 202.92/202.86 inference(rename_variables,[],[3537])).
% 202.92/202.86 cnf(13011,plain,
% 202.92/202.86 (E(f318(f275(x130111,x130111),f254(x130111,x130112)),x130112)),
% 202.92/202.86 inference(rename_variables,[],[3479])).
% 202.92/202.86 cnf(13013,plain,
% 202.92/202.86 (E(f318(f275(x130131,x130131),f254(x130131,x130132)),x130132)),
% 202.92/202.86 inference(rename_variables,[],[3479])).
% 202.92/202.86 cnf(13024,plain,
% 202.92/202.86 (P15(x130241,f927(x130241,a918),f300(x130241))),
% 202.92/202.86 inference(rename_variables,[],[3492])).
% 202.92/202.86 cnf(13028,plain,
% 202.92/202.86 (P34(x130281,x130282,f104(x130281),f104(x130281))),
% 202.92/202.86 inference(rename_variables,[],[3762])).
% 202.92/202.86 cnf(13030,plain,
% 202.92/202.86 (P34(x130301,x130302,f104(x130301),f104(x130301))),
% 202.92/202.86 inference(rename_variables,[],[3762])).
% 202.92/202.86 cnf(13049,plain,
% 202.92/202.86 (~P1(f318(f318(f226(a920),x130491),f2(a920)))),
% 202.92/202.86 inference(rename_variables,[],[4699])).
% 202.92/202.86 cnf(13051,plain,
% 202.92/202.86 (P1(f318(f318(f225(a1),a76),f2(a1)))),
% 203.03/202.86 inference(scs_inference,[],[3562,4170,12791,12816,12955,12957,3753,11406,12459,12564,12567,12659,12701,12705,12713,12785,12902,3762,12531,13028,13030,3769,3488,12924,12926,12928,3489,12988,3455,12870,4681,4682,12048,4443,12994,3492,13024,3330,3386,12947,3387,13001,3388,3389,3390,12741,12983,4680,3811,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,10870,11183,11376,11379,11398,11401,11594,11695,11702,11716,11762,11765,11787,11804,11819,11882,11939,11955,12242,12267,12283,12312,12318,12412,12527,12694,12755,3574,3537,13007,3721,12214,3439,4667,10716,10816,11286,4673,3127,3128,3130,3131,3134,3135,3137,3138,3139,3141,3145,3146,3150,3151,3153,3154,3156,3165,3166,3171,3175,3176,3188,3210,3213,3219,3231,3237,3243,3244,3257,3270,3273,3274,3277,3283,3299,3409,3410,4658,3313,3385,4659,3851,4076,11986,3363,11692,3500,3476,3479,10556,10559,10652,10655,10973,11707,11710,11830,11869,11874,11981,12433,12635,12848,12900,12914,12916,12918,12930,12937,12945,13005,13011,3450,12726,12730,12734,3456,3465,3971,4272,3585,12788,12873,3353,3715,4062,11738,3573,3416,3349,3376,3830,3372,3571,4179,4070,3893,3359,3983,3396,3575,11133,11260,12528,12745,3449,4144,4675,10547,10713,11591,11790,12686,12727,12731,4678,12698,3509,12067,4102,4704,11312,11411,11647,11650,3912,3622,3836,4684,3589,12953,12972,12974,3413,3414,10617,10949,3674,3404,3331,3435,11728,4286,12716,12860,4146,11332,11463,11522,12670,12676,12805,12808,12838,4722,11235,11476,11585,11611,11655,11661,12614,4723,11365,11479,11588,4724,11482,4725,11540,4726,3434,3713,12570,12611,12697,3877,3662,4557,4558,3734,4672,11721,3855,3812,4026,4072,3699,3954,3586,10636,10755,10836,10909,10912,10952,11052,11302,11916,12238,12305,12383,12424,12499,12502,3964,11972,3502,3598,11803,3775,4699,10524,10527,10553,10676,10854,11060,11075,11193,11633,11731,11915,12133,12138,12359,12362,12445,12617,12720,4710,11846,11877,11912,11919,11952,3951,3722,4094,3546,3547,3521,4696,4669,3903,4208,3706,4711,4279,11608,3835,3557,12088,12091,12535,12639,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,10859,11045,11289,11502,11797,11891,12037,12151,12154,4248,4207,12585,4155,11130,12231,12418,12595,4202,11335,12456,12534,12594,12638,3878,11923,12241,12390,12464,4236,3895,10679,10776,11338,11416,11495,11559,12411,12415,12480,12750,12815,12835,12845,4714,11078,11487,3518,10645,10742,10821,10895,10959,11034,11081,11084,11115,11141,11177,11215,11254,12040,12085,12211,12266,12286,12289,12292,12295,12473,12487,12490,12493,12496,12578,12642,12761,3519,10727,10964,11055,11180,11822,12116,12119,12130,12217,12228,12247,12252,12298,12321,3520,12505,3594,12448,4695,10564,10593,11099,11144,11153,12000,12021,12185,12188,12191,12194,12282,12301,12304,12317,12371,12374,12377,12380,12546,12549,12645,12648,12754,12794,3669,10824,10915,11188,11232,11466,11469,11548,11630,11807,12693,4706,11108,11118,11224,11245,11248,11315,11318,11329,11432,11442,11454,11490,11507,11516,11556,11597,11602,11605,11624,11627,11664,11669,11672,11675,11678,11922,12064,12097,12365,12368,12402,12449,12476,12623,12667,12673,12773,12776,12798,12859,12865,12876,3579,10946,10976,10979,10988,10991,11577,12795,3618,3611,4030,3969,10596,11975,12003,4703,10544,10934,10937,11435,11451,11938,11991,12025,12148,12173,12176,12179,12182,12444,3539,10982,11138,11208,12004,12147,12343,12554,3993,4327,4700,4004,4038,4687,4691,3495,3499,4690,4688,4450,3825,11968,4421,11829,4716,10845,10848,4721,11321,11324,11510,11621,11638,11684,4112,11681,12024,12028,12704,12712,3959,11251,11257,11275,12263,12395,12479,12769,3809,11391,11513,12511,12620,12630,12709,12764,12772,4284,3961,10985,11354,11519,11553,11564,12708,3670,3776,10898,10901,10994,11164,4719,11969,4720,10735,10851,12573,12582,12626,12829,4382,11121,12591,12606,4290,3992,3937,4717,10569,10572,10940,10943,11843,12029,4718,11949,3962,10904,4221,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497,6499,6505,6510,6544,6545,6548,6549,6550,6552,6553,6554,6555,6564,6597,6598,6607,6629,6630,6652,6654,6666,6667,6673,6703,6705,6720,6758,6761,6762,6820,6843,6888,6903,6910,6919,6920,6921,6922,6941,6942,6949,6961,6964,6966,6967,6968,6970,6972,6986,6997,6998,6999,7013,7070,7081,7083,7087,7106,7107,7142,7149,7154,7185,7215,7272,7301,7359,7380,7390,7394,7454,7464,7524,7526,7540,7549,7550,7551,7569,7573,7575,7620,7630,7633,7648,7695,7697,7700,7743,7744,7762,7832,7850,7875,7898,7910,7924,7935,7946,7947,7973,7975,7977,7986,8025,8037,8062,8089,8122,8154,8188,8227,8243,8245,8261,8262,8330,8341,8408,8432,8451,8478,8517,8518,8536,8575,8577,8579,8586,8601,8605,8620,8643,8651,8653,8663,8668,8672,8673,8674,8675,8676,8677,8699,8713,8714,8732,8733,8738,8739,8740,8741,8742,8760,8761,8762,8773,8786,8789,8800,8805,8807,8809,8810,8811,8818,8824,8832,8835,8852,8853,8862,8863,8871,8890,8903,8907,8928,8950,8951,8954,8955,8961,8971,8972,8995,9006,9016,9017,9018,9021,9044,9045,9056,9108,9118,9120,9136,9148,9149,9150,9161,9227,9258,9259,9260,9275,9292,9300,9328,9329,9400,9433,9439,9449,9450,9451,9461,9490,9506,9510,9514,9537,9538,9565,9630,9635,9638,9671,9672,9673,9697,9698,9714,9735,9741,9753,9778,9799,9808,9809,9810,9811,9827,9829,9834,9864,9865,9871,9872,9918,9919,9930,9931,9955,9974,9976,9977,9986,9991,10000,10025,10059,10061,10065,10115,10149,10159,10161,10165,10166,10168,10177,10178,10198,10203,10297,10384,10385,10386,10387,10449,10468,2,8,9,4746,4747,4765,4807,4808,4810,4833,4835,4836,4846,4891,4893,4941,5071,5072,5086,5110,5165,5166,5172,5173,5175,5177,5186,5189,5190,5198,5211,5212,5218,5239,5240,5261,5266,5267,5268,5269,5273,5281,5284,5292,5293,5294,5350,5355,5356,5361,5367,5397,5407,5412,5422,5440,5441,5448,5449,5451,5462,5480,5482,5483,5490,5497,5498,5510,5511,5512,5513,5515,5516,5521,5522,5523,5524,5554,5555,5556,5564,5565,5566,5567,5610,5615,5617,5653,5655,5656,5658,5659,5661,5662,5664,5673,5678,5679,5680,5682,5684,5685,5686,5687,5688,5689,5698,5708,5711,5722,5738,5739,5742,5753,5756,5757,5758,5785,5795,5811,5812,5821,5822,5824,5826,5831,5866,5871,5873,5932,5967,5968,5973,5979,5982,5983,5984,5985,6005,6010,6011,6020,6042,6075,6094,6095,6099,6100,6102,6125,6129,6132,6133,6134,6150,6165,6166,6198,6199,6203,6224,6227,6230,6252,6253,6281,6284,6293,6303,6311,6315,6323,6324,6325,6326,6358,6376,6428,6465,6467,6468,6490,6491,6498,6502,6503,6506,6521,6536,6557,6558,6565,6575,6590,6610,6617,6619,6634,6635,6638,6639,6641,6643,6644,6645,6647,6649,6653,6659,6660,6662,6663,6669,6671,6713,6719,6734,6737,6738,6739,6776,6781,6783,6788,6789,6799,6802,6815,6838,6839,6841,6842,6854,6860,6880,6883,6904,6923,6932,6935,6936,6937,6943,6957,6976,6978,6980,6982,6987,6993,6995,7010,7015,7016,7055,7056,7057,7072,7073,7075,7076,7097,7098,7113,7140,7162,7174,7176,7178,7180,7181,7212,7213,7214,7218,7219,7226,7227,7229,7231,7253,7263,7264,7275,7285,7325,7336,7342,7349,7360,7365,7367,7374,7383,7384,7398,7415,7436,7438,7457,7510,7511,7512,7514,7516,7520,7525,7588,7616,7631,7647,7678,7681,7688,7703,7727,7745,7748,7749,7759,7779,7781,7783,7785,7786,7787,7788,7789,7814,7840,7841,7874,7876,7877,7878,7883,7904,7921,7926,7932,7934,7942,7954,7955,7957,7978,7984,8006,8075,8076,8077,8125,8132,8133,8156,8157,8174,8175,8176,8234,8235,8264,8294,8304,8318,8333,8364,8368,8374,8386,8404,8409,8431,8476,8505,8519,8539,8542,8568,8595,8654,8655,8658,8659,8730,8764,8765,8766,8767,8795,8827,8856,8864,8865,8906,8927,8973,8989,9035,9038,9053,9060,9105,9144,9145,9163,9164,9178,9297,9302,9306,9326,9337,9362,9364,9367,9373,9375,9376,9386,9387,9407,9415,9425,9432,9475,9494,9515,9550,9551,9557,9596,9622,9627,9667,9677,9680,9681,9683,9684,9696,9719,9734,9743,9744,9746,9748,9777,9899,9900,9950,9951,9992,10030,10140,10207,10358,10376,10381,3,2846,2854,2855,2856,2857,2858,2859,2860,2864,2871,2872,2874,2875,2876,2893,2894,2895,2900,2903,2904,2905,2907,2908,2911,2912,2913,2915,2916,2920,2938,2939,2940,2941,2942,2945,2946,2947,2948,2949,2957,2958,2959,2967,2968,2978,2979,2981,2982,2994,2995,3001,3003,3005,3008,3009,3011,3012,3013,3017,3020,3021,3022,3032,3033,3034,3035,3036,3041,3044,3045,3048,3049,3050,3076,3078,3080,3081,3083,3084,3088,3089,3092,5349,5439,5479,5626,5627,5628])).
% 203.03/202.86 cnf(13058,plain,
% 203.03/202.86 (~P1(f318(f318(f226(a1),f318(f91(a1),x130581)),f318(f72(a1),f318(f91(a1),x130582))))),
% 203.03/202.86 inference(rename_variables,[],[4715])).
% 203.03/202.86 cnf(13068,plain,
% 203.03/202.86 (~P1(f318(f318(f226(a920),x130681),f2(a920)))),
% 203.03/202.86 inference(rename_variables,[],[4699])).
% 203.03/202.86 cnf(13071,plain,
% 203.03/202.86 (~P1(f318(f318(f226(a920),x130711),f2(a920)))),
% 203.03/202.86 inference(rename_variables,[],[4699])).
% 203.03/202.86 cnf(13074,plain,
% 203.03/202.86 (P1(f318(f55(a920),f296(a920,x130741,x130742)))),
% 203.03/202.86 inference(rename_variables,[],[3723])).
% 203.03/202.86 cnf(13077,plain,
% 203.03/202.86 (P1(f318(f55(a920),f296(a920,x130771,x130772)))),
% 203.03/202.86 inference(rename_variables,[],[3723])).
% 203.03/202.86 cnf(13080,plain,
% 203.03/202.86 (P1(f318(f55(a920),f296(a920,x130801,x130802)))),
% 203.03/202.86 inference(rename_variables,[],[3723])).
% 203.03/202.86 cnf(13083,plain,
% 203.03/202.86 (P1(f318(f55(a920),f296(a920,x130831,x130832)))),
% 203.03/202.86 inference(rename_variables,[],[3723])).
% 203.03/202.86 cnf(13090,plain,
% 203.03/202.86 (P1(f318(f318(f225(a1),f318(f72(a1),f318(f91(a1),x130901))),f318(f91(a1),x130902)))),
% 203.03/202.86 inference(rename_variables,[],[3993])).
% 203.03/202.86 cnf(13092,plain,
% 203.03/202.86 (P1(f318(f318(f225(a1),f2(a1)),f318(f94(a1),f2(a1))))),
% 203.03/202.86 inference(scs_inference,[],[3562,4170,12791,12816,12955,12957,3753,11406,12459,12564,12567,12659,12701,12705,12713,12785,12902,3762,12531,13028,13030,3769,3488,12924,12926,12928,3489,12988,3455,12870,4681,4682,12048,4443,12994,3492,13024,3330,3386,12947,3387,13001,3388,3389,3390,12741,12983,4680,3811,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,10870,11183,11376,11379,11398,11401,11594,11695,11702,11716,11762,11765,11787,11804,11819,11882,11939,11955,12242,12267,12283,12312,12318,12412,12527,12694,12755,3574,3537,13007,3721,12214,3439,4667,10716,10816,11286,4673,3127,3128,3130,3131,3134,3135,3137,3138,3139,3141,3145,3146,3150,3151,3153,3154,3156,3165,3166,3171,3175,3176,3188,3210,3213,3219,3231,3237,3243,3244,3257,3270,3271,3273,3274,3277,3283,3299,3409,3410,4658,3313,3385,4659,3851,4076,11986,3363,11692,3500,3476,3479,10556,10559,10652,10655,10973,11707,11710,11830,11869,11874,11981,12433,12635,12848,12900,12914,12916,12918,12930,12937,12945,13005,13011,3450,12726,12730,12734,3456,3465,3971,4272,3585,12788,12873,3353,3715,4062,11738,3573,3416,3349,3376,3830,3372,3571,4179,4070,3893,3359,3340,3983,3396,3575,11133,11260,12528,12745,3449,4144,4675,10547,10713,11591,11790,12686,12727,12731,4678,12698,3509,12067,4102,4704,11312,11411,11647,11650,3912,3622,3836,4684,3589,12953,12972,12974,3413,3414,10617,10949,3674,3404,3331,3435,11728,4286,12716,12860,4146,11332,11463,11522,12670,12676,12805,12808,12838,4722,11235,11476,11585,11611,11655,11661,12614,4723,11365,11479,11588,4724,11482,4725,11540,4726,3434,3713,12570,12611,12697,3877,3662,4557,4558,3734,4672,11721,3855,3812,4026,4072,3699,3954,3586,10636,10755,10836,10909,10912,10952,11052,11302,11916,12238,12305,12383,12424,12499,12502,3964,11972,3502,3598,11803,3775,4699,10524,10527,10553,10676,10854,11060,11075,11193,11633,11731,11915,12133,12138,12359,12362,12445,12617,12720,13049,13068,4710,11846,11877,11912,11919,11952,3951,3722,3723,13074,13077,13080,4094,3546,3547,3521,4696,4669,3903,4208,3706,4711,4279,11608,3835,3557,12088,12091,12535,12639,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,10859,11045,11289,11502,11797,11891,12037,12151,12154,4248,4207,12585,4155,11130,12231,12418,12595,4202,11335,12456,12534,12594,12638,3878,11923,12241,12390,12464,4236,3895,10679,10776,11338,11416,11495,11559,12411,12415,12480,12750,12815,12835,12845,4714,11078,11487,3518,10645,10742,10821,10895,10959,11034,11081,11084,11115,11141,11177,11215,11254,12040,12085,12211,12266,12286,12289,12292,12295,12473,12487,12490,12493,12496,12578,12642,12761,3519,10727,10964,11055,11180,11822,12116,12119,12130,12217,12228,12247,12252,12298,12321,3520,12505,3594,12448,4695,10564,10593,11099,11144,11153,12000,12021,12185,12188,12191,12194,12282,12301,12304,12317,12371,12374,12377,12380,12546,12549,12645,12648,12754,12794,3669,10824,10915,11188,11232,11466,11469,11548,11630,11807,12693,4706,11108,11118,11224,11245,11248,11315,11318,11329,11432,11442,11454,11490,11507,11516,11556,11597,11602,11605,11624,11627,11664,11669,11672,11675,11678,11922,12064,12097,12365,12368,12402,12449,12476,12623,12667,12673,12773,12776,12798,12859,12865,12876,3579,10946,10976,10979,10988,10991,11577,12795,3618,3611,4030,3969,10596,11975,12003,4703,10544,10934,10937,11435,11451,11938,11991,12025,12148,12173,12176,12179,12182,12444,3539,10982,11138,11208,12004,12147,12343,12554,3993,12094,4327,4700,4004,4038,4687,4689,4691,3495,3499,4690,4688,4450,3825,11968,4421,11829,4716,10845,10848,4721,11321,11324,11510,11621,11638,11684,4112,11681,12024,12028,12704,12712,3959,11251,11257,11275,12263,12395,12479,12769,3809,11391,11513,12511,12620,12630,12709,12764,12772,4284,3961,10985,11354,11519,11553,11564,12708,3670,3776,10898,10901,10994,11164,3778,4719,11969,4715,13058,4720,10735,10851,12573,12582,12626,12829,4382,11121,12591,12606,4290,3992,3937,3938,4717,10569,10572,10940,10943,11843,12029,4718,11949,3962,10904,4221,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497,6499,6505,6510,6544,6545,6548,6549,6550,6552,6553,6554,6555,6564,6597,6598,6607,6629,6630,6652,6654,6666,6667,6673,6703,6705,6720,6758,6761,6762,6820,6843,6888,6903,6910,6919,6920,6921,6922,6941,6942,6949,6961,6964,6966,6967,6968,6970,6972,6986,6997,6998,6999,7013,7070,7081,7083,7087,7106,7107,7142,7149,7154,7185,7215,7272,7301,7359,7380,7390,7394,7454,7464,7524,7526,7540,7549,7550,7551,7569,7573,7575,7620,7630,7633,7648,7695,7697,7700,7743,7744,7762,7832,7850,7875,7898,7910,7924,7935,7946,7947,7973,7975,7977,7986,8025,8037,8062,8089,8122,8154,8188,8227,8243,8245,8261,8262,8330,8341,8408,8432,8451,8478,8517,8518,8536,8575,8577,8579,8586,8601,8605,8620,8643,8651,8653,8663,8668,8672,8673,8674,8675,8676,8677,8699,8713,8714,8732,8733,8738,8739,8740,8741,8742,8760,8761,8762,8773,8786,8789,8800,8805,8807,8809,8810,8811,8818,8824,8832,8835,8852,8853,8862,8863,8871,8890,8903,8907,8928,8950,8951,8954,8955,8961,8971,8972,8995,9006,9016,9017,9018,9021,9044,9045,9056,9108,9118,9120,9136,9148,9149,9150,9161,9227,9258,9259,9260,9275,9292,9300,9328,9329,9400,9433,9439,9449,9450,9451,9461,9490,9506,9510,9514,9537,9538,9565,9630,9635,9638,9671,9672,9673,9697,9698,9714,9735,9741,9753,9778,9799,9808,9809,9810,9811,9827,9829,9834,9864,9865,9871,9872,9918,9919,9930,9931,9955,9974,9976,9977,9986,9991,10000,10025,10059,10061,10065,10115,10149,10159,10161,10165,10166,10168,10177,10178,10198,10203,10297,10384,10385,10386,10387,10449,10468,2,8,9,4746,4747,4765,4807,4808,4810,4833,4835,4836,4846,4891,4893,4941,5071,5072,5086,5110,5165,5166,5172,5173,5175,5177,5186,5189,5190,5198,5211,5212,5218,5239,5240,5261,5266,5267,5268,5269,5273,5281,5284,5292,5293,5294,5350,5355,5356,5361,5367,5397,5407,5412,5422,5440,5441,5448,5449,5451,5462,5480,5482,5483,5490,5497,5498,5510,5511,5512,5513,5515,5516,5521,5522,5523,5524,5554,5555,5556,5564,5565,5566,5567,5610,5615,5617,5653,5655,5656,5658,5659,5661,5662,5664,5673,5678,5679,5680,5682,5684,5685,5686,5687,5688,5689,5698,5708,5711,5722,5738,5739,5742,5753,5756,5757,5758,5785,5795,5811,5812,5821,5822,5824,5826,5831,5866,5871,5873,5932,5967,5968,5973,5979,5982,5983,5984,5985,6005,6010,6011,6020,6042,6075,6094,6095,6099,6100,6102,6125,6129,6132,6133,6134,6150,6165,6166,6198,6199,6203,6224,6227,6230,6252,6253,6281,6284,6293,6303,6311,6315,6323,6324,6325,6326,6358,6376,6428,6465,6467,6468,6490,6491,6498,6502,6503,6506,6521,6536,6557,6558,6565,6575,6590,6610,6617,6619,6634,6635,6638,6639,6641,6643,6644,6645,6647,6649,6653,6659,6660,6662,6663,6669,6671,6713,6719,6734,6737,6738,6739,6776,6781,6783,6788,6789,6799,6802,6815,6838,6839,6841,6842,6854,6860,6880,6883,6904,6923,6932,6935,6936,6937,6943,6957,6976,6978,6980,6982,6987,6993,6995,7010,7015,7016,7055,7056,7057,7072,7073,7075,7076,7097,7098,7113,7140,7162,7174,7176,7178,7180,7181,7212,7213,7214,7218,7219,7226,7227,7229,7231,7253,7263,7264,7275,7285,7325,7336,7342,7349,7360,7365,7367,7374,7383,7384,7398,7415,7436,7438,7457,7510,7511,7512,7514,7516,7520,7525,7588,7616,7631,7647,7678,7681,7688,7703,7727,7745,7748,7749,7759,7779,7781,7783,7785,7786,7787,7788,7789,7814,7840,7841,7874,7876,7877,7878,7883,7904,7921,7926,7932,7934,7942,7954,7955,7957,7978,7984,8006,8075,8076,8077,8125,8132,8133,8156,8157,8174,8175,8176,8234,8235,8264,8294,8304,8318,8333,8364,8368,8374,8386,8404,8409,8431,8476,8505,8519,8539,8542,8568,8595,8654,8655,8658,8659,8730,8764,8765,8766,8767,8795,8827,8856,8864,8865,8906,8927,8973,8989,9035,9038,9053,9060,9105,9144,9145,9163,9164,9178,9297,9302,9306,9326,9337,9362,9364,9367,9373,9375,9376,9386,9387,9407,9415,9425,9432,9475,9494,9515,9550,9551,9557,9596,9622,9627,9667,9677,9680,9681,9683,9684,9696,9719,9734,9743,9744,9746,9748,9777,9899,9900,9950,9951,9992,10030,10140,10207,10358,10376,10381,3,2846,2854,2855,2856,2857,2858,2859,2860,2864,2871,2872,2874,2875,2876,2893,2894,2895,2900,2903,2904,2905,2907,2908,2911,2912,2913,2915,2916,2920,2938,2939,2940,2941,2942,2945,2946,2947,2948,2949,2957,2958,2959,2967,2968,2978,2979,2981,2982,2994,2995,3001,3003,3005,3008,3009,3011,3012,3013,3017,3020,3021,3022,3032,3033,3034,3035,3036,3041,3044,3045,3048,3049,3050,3076,3078,3080,3081,3083,3084,3088,3089,3092,5349,5439,5479,5626,5627,5628,5709,5810,5840,5874,5890,5892,5898,5960,5961,5962,5963,5971,6007,6145,6187])).
% 203.03/202.86 cnf(13095,plain,
% 203.03/202.86 (~P1(f318(f318(f226(a920),x130951),f2(a920)))),
% 203.03/202.86 inference(rename_variables,[],[4699])).
% 203.03/202.86 cnf(13096,plain,
% 203.03/202.86 (P1(f318(f318(f225(a920),x130961),x130961))),
% 203.03/202.86 inference(rename_variables,[],[3518])).
% 203.03/202.86 cnf(13103,plain,
% 203.03/202.86 (P1(f318(f318(f226(a920),x131031),f318(a103,x131031)))),
% 203.03/202.86 inference(rename_variables,[],[3586])).
% 203.03/202.86 cnf(13105,plain,
% 203.03/202.86 (P1(f318(f318(f225(a1),f2(a1)),a76))),
% 203.03/202.86 inference(scs_inference,[],[3562,4170,12791,12816,12955,12957,3753,11406,12459,12564,12567,12659,12701,12705,12713,12785,12902,3762,12531,13028,13030,3769,3488,12924,12926,12928,3489,12988,3455,12870,4681,4682,12048,4443,12994,3492,13024,3330,3386,12947,3387,13001,3388,3389,3390,12741,12983,4680,3811,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,10870,11183,11376,11379,11398,11401,11594,11695,11702,11716,11762,11765,11787,11804,11819,11882,11939,11955,12242,12267,12283,12312,12318,12412,12527,12694,12755,3574,3537,13007,3721,12214,3439,4667,10716,10816,11286,4673,3127,3128,3130,3131,3134,3135,3137,3138,3139,3141,3145,3146,3150,3151,3153,3154,3156,3165,3166,3171,3175,3176,3188,3210,3213,3219,3231,3237,3243,3244,3257,3270,3271,3273,3274,3277,3283,3299,3409,3410,4658,3313,3385,4659,3851,4076,11986,3363,11692,3500,3476,3479,10556,10559,10652,10655,10973,11707,11710,11830,11869,11874,11981,12433,12635,12848,12900,12914,12916,12918,12930,12937,12945,13005,13011,3450,12726,12730,12734,3456,3465,3971,4272,3585,12788,12873,3353,3715,4062,11738,3573,3416,3349,3376,3830,3372,3571,4179,4070,3893,3359,3340,3983,3396,3575,11133,11260,12528,12745,3449,4144,4675,10547,10713,11591,11790,12686,12727,12731,4678,12698,3509,12067,4102,4704,11312,11411,11647,11650,3912,3622,3836,4684,3589,12953,12972,12974,3413,3414,10617,10949,3674,3404,3331,3435,11728,4286,12716,12860,4146,11332,11463,11522,12670,12676,12805,12808,12838,4722,11235,11476,11585,11611,11655,11661,12614,4723,11365,11479,11588,4724,11482,4725,11540,4726,3434,3713,12570,12611,12697,3877,3662,4557,4558,3734,4672,11721,3855,3812,3857,4026,4072,3699,3954,3586,10636,10755,10836,10909,10912,10952,11052,11302,11916,12238,12305,12383,12424,12499,12502,12842,3964,11972,3502,3598,11803,3775,4699,10524,10527,10553,10676,10854,11060,11075,11193,11633,11731,11915,12133,12138,12359,12362,12445,12617,12720,13049,13068,13071,4710,11846,11877,11912,11919,11952,3951,3722,3723,13074,13077,13080,4094,3546,3547,3521,4696,3412,4669,3903,4208,3706,4711,4279,11608,3835,3557,12088,12091,12535,12639,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,10859,11045,11289,11502,11797,11891,12037,12151,12154,4248,4207,12585,4155,11130,12231,12418,12595,4202,11335,12456,12534,12594,12638,3878,11923,12241,12390,12464,4236,3895,10679,10776,11338,11416,11495,11559,12411,12415,12480,12750,12815,12835,12845,4714,11078,11487,3518,10645,10742,10821,10895,10959,11034,11081,11084,11115,11141,11177,11215,11254,12040,12085,12211,12266,12286,12289,12292,12295,12473,12487,12490,12493,12496,12578,12642,12761,12811,3519,10727,10964,11055,11180,11822,12116,12119,12130,12217,12228,12247,12252,12298,12321,3520,12505,3594,12448,4695,10564,10593,11099,11144,11153,12000,12021,12185,12188,12191,12194,12282,12301,12304,12317,12371,12374,12377,12380,12546,12549,12645,12648,12754,12794,3669,10824,10915,11188,11232,11466,11469,11548,11630,11807,12693,4706,11108,11118,11224,11245,11248,11315,11318,11329,11432,11442,11454,11490,11507,11516,11556,11597,11602,11605,11624,11627,11664,11669,11672,11675,11678,11922,12064,12097,12365,12368,12402,12449,12476,12623,12667,12673,12773,12776,12798,12859,12865,12876,3579,10946,10976,10979,10988,10991,11577,12795,3618,3611,4030,3969,10596,11975,12003,4703,10544,10934,10937,11435,11451,11938,11991,12025,12148,12173,12176,12179,12182,12444,3539,10982,11138,11208,12004,12147,12343,12554,3993,12094,4327,3728,4700,4004,4038,4687,4689,4691,3495,3499,4690,4688,4450,3825,11968,4421,11829,4716,10845,10848,4721,11321,11324,11510,11621,11638,11684,4112,11681,12024,12028,12704,12712,3959,11251,11257,11275,12263,12395,12479,12769,3809,11391,11513,12511,12620,12630,12709,12764,12772,4284,3961,10985,11354,11519,11553,11564,12708,3670,3776,10898,10901,10994,11164,3778,4719,11969,4715,13058,4720,10735,10851,12573,12582,12626,12829,4382,11121,12591,12606,4290,3992,3937,3938,4717,10569,10572,10940,10943,11843,12029,4718,11949,3962,10904,4221,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497,6499,6505,6510,6544,6545,6548,6549,6550,6552,6553,6554,6555,6564,6597,6598,6607,6629,6630,6652,6654,6666,6667,6673,6703,6705,6720,6758,6761,6762,6820,6843,6888,6903,6910,6919,6920,6921,6922,6941,6942,6949,6961,6964,6966,6967,6968,6970,6972,6986,6997,6998,6999,7013,7070,7081,7083,7087,7106,7107,7142,7149,7154,7185,7215,7272,7301,7359,7380,7390,7394,7454,7464,7524,7526,7540,7549,7550,7551,7569,7573,7575,7620,7630,7633,7648,7695,7697,7700,7743,7744,7762,7832,7850,7875,7898,7910,7924,7935,7946,7947,7973,7975,7977,7986,8025,8037,8062,8089,8122,8154,8188,8227,8243,8245,8261,8262,8330,8341,8408,8432,8451,8478,8517,8518,8536,8575,8577,8579,8586,8601,8605,8620,8643,8651,8653,8663,8668,8672,8673,8674,8675,8676,8677,8699,8713,8714,8732,8733,8738,8739,8740,8741,8742,8760,8761,8762,8773,8786,8789,8800,8805,8807,8809,8810,8811,8818,8824,8832,8835,8852,8853,8862,8863,8871,8890,8903,8907,8928,8950,8951,8954,8955,8961,8971,8972,8995,9006,9016,9017,9018,9021,9044,9045,9056,9108,9118,9120,9136,9148,9149,9150,9161,9227,9258,9259,9260,9275,9292,9300,9328,9329,9400,9433,9439,9449,9450,9451,9461,9490,9506,9510,9514,9537,9538,9565,9630,9635,9638,9671,9672,9673,9697,9698,9714,9735,9741,9753,9778,9799,9808,9809,9810,9811,9827,9829,9834,9864,9865,9871,9872,9918,9919,9930,9931,9955,9974,9976,9977,9986,9991,10000,10025,10059,10061,10065,10115,10149,10159,10161,10165,10166,10168,10177,10178,10198,10203,10297,10384,10385,10386,10387,10449,10468,2,8,9,4746,4747,4765,4807,4808,4810,4833,4835,4836,4846,4891,4893,4941,5071,5072,5086,5110,5165,5166,5172,5173,5175,5177,5186,5189,5190,5198,5211,5212,5218,5239,5240,5261,5266,5267,5268,5269,5273,5281,5284,5292,5293,5294,5350,5355,5356,5361,5367,5397,5407,5412,5422,5440,5441,5448,5449,5451,5462,5480,5482,5483,5490,5497,5498,5510,5511,5512,5513,5515,5516,5521,5522,5523,5524,5554,5555,5556,5564,5565,5566,5567,5610,5615,5617,5653,5655,5656,5658,5659,5661,5662,5664,5673,5678,5679,5680,5682,5684,5685,5686,5687,5688,5689,5698,5708,5711,5722,5738,5739,5742,5753,5756,5757,5758,5785,5795,5811,5812,5821,5822,5824,5826,5831,5866,5871,5873,5932,5967,5968,5973,5979,5982,5983,5984,5985,6005,6010,6011,6020,6042,6075,6094,6095,6099,6100,6102,6125,6129,6132,6133,6134,6150,6165,6166,6198,6199,6203,6224,6227,6230,6252,6253,6281,6284,6293,6303,6311,6315,6323,6324,6325,6326,6358,6376,6428,6465,6467,6468,6490,6491,6498,6502,6503,6506,6521,6536,6557,6558,6565,6575,6590,6610,6617,6619,6634,6635,6638,6639,6641,6643,6644,6645,6647,6649,6653,6659,6660,6662,6663,6669,6671,6713,6719,6734,6737,6738,6739,6776,6781,6783,6788,6789,6799,6802,6815,6838,6839,6841,6842,6854,6860,6880,6883,6904,6923,6932,6935,6936,6937,6943,6957,6976,6978,6980,6982,6987,6993,6995,7010,7015,7016,7055,7056,7057,7072,7073,7075,7076,7097,7098,7113,7140,7162,7174,7176,7178,7180,7181,7212,7213,7214,7218,7219,7226,7227,7229,7231,7253,7263,7264,7275,7285,7325,7336,7342,7349,7360,7365,7367,7374,7383,7384,7398,7415,7436,7438,7457,7510,7511,7512,7514,7516,7520,7525,7588,7616,7631,7647,7678,7681,7688,7703,7727,7745,7748,7749,7759,7779,7781,7783,7785,7786,7787,7788,7789,7814,7840,7841,7874,7876,7877,7878,7883,7904,7921,7926,7932,7934,7942,7954,7955,7957,7978,7984,8006,8075,8076,8077,8125,8132,8133,8156,8157,8174,8175,8176,8234,8235,8264,8294,8304,8318,8333,8364,8368,8374,8386,8404,8409,8431,8476,8505,8519,8539,8542,8568,8595,8654,8655,8658,8659,8730,8764,8765,8766,8767,8795,8827,8856,8864,8865,8906,8927,8973,8989,9035,9038,9053,9060,9105,9144,9145,9163,9164,9178,9297,9302,9306,9326,9337,9362,9364,9367,9373,9375,9376,9386,9387,9407,9415,9425,9432,9475,9494,9515,9550,9551,9557,9596,9622,9627,9667,9677,9680,9681,9683,9684,9696,9719,9734,9743,9744,9746,9748,9777,9899,9900,9950,9951,9992,10030,10140,10207,10358,10376,10381,3,2846,2854,2855,2856,2857,2858,2859,2860,2864,2871,2872,2874,2875,2876,2893,2894,2895,2900,2903,2904,2905,2907,2908,2911,2912,2913,2915,2916,2920,2938,2939,2940,2941,2942,2945,2946,2947,2948,2949,2957,2958,2959,2967,2968,2978,2979,2981,2982,2994,2995,3001,3003,3005,3008,3009,3011,3012,3013,3017,3020,3021,3022,3032,3033,3034,3035,3036,3041,3044,3045,3048,3049,3050,3076,3078,3080,3081,3083,3084,3088,3089,3092,5349,5439,5479,5626,5627,5628,5709,5810,5840,5874,5890,5892,5898,5960,5961,5962,5963,5971,6007,6145,6187,6197,6221,6256,6294])).
% 203.03/202.86 cnf(13107,plain,
% 203.03/202.86 (~P1(f318(f318(f226(a1),f2(a1)),f318(f94(a1),f2(a1))))),
% 203.03/202.86 inference(scs_inference,[],[3562,4170,12791,12816,12955,12957,3753,11406,12459,12564,12567,12659,12701,12705,12713,12785,12902,3762,12531,13028,13030,3769,3488,12924,12926,12928,3489,12988,3455,12870,4681,4682,12048,4443,12994,3492,13024,3330,3386,12947,3387,13001,3388,3389,3390,12741,12983,4680,3811,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,10870,11183,11376,11379,11398,11401,11594,11695,11702,11716,11762,11765,11787,11804,11819,11882,11939,11955,12242,12267,12283,12312,12318,12412,12527,12694,12755,3574,3537,13007,3721,12214,3439,4667,10716,10816,11286,4673,3127,3128,3130,3131,3134,3135,3137,3138,3139,3141,3145,3146,3150,3151,3153,3154,3156,3165,3166,3171,3175,3176,3188,3210,3213,3219,3231,3237,3243,3244,3257,3270,3271,3273,3274,3277,3283,3299,3409,3410,4658,3313,3385,4659,3851,4076,11986,3363,11692,3500,3476,3479,10556,10559,10652,10655,10973,11707,11710,11830,11869,11874,11981,12433,12635,12848,12900,12914,12916,12918,12930,12937,12945,13005,13011,3450,12726,12730,12734,3456,3465,3971,4272,3585,12788,12873,3353,3715,4062,11738,3573,3416,3349,3376,3830,3372,3571,4179,4070,3893,3359,3340,3983,3396,3575,11133,11260,12528,12745,3449,4144,4675,10547,10713,11591,11790,12686,12727,12731,4678,12698,3509,12067,4102,4704,11312,11411,11647,11650,3912,3622,3836,4684,3589,12953,12972,12974,3413,3414,10617,10949,3674,3404,3331,3435,11728,4286,12716,12860,4146,11332,11463,11522,12670,12676,12805,12808,12838,4722,11235,11476,11585,11611,11655,11661,12614,4723,11365,11479,11588,4724,11482,4725,11540,4726,3434,3713,12570,12611,12697,3877,3662,4557,4558,3734,4672,11721,3855,3812,3857,4026,4072,3699,3954,3586,10636,10755,10836,10909,10912,10952,11052,11302,11916,12238,12305,12383,12424,12499,12502,12842,3964,11972,3502,3598,11803,3775,4699,10524,10527,10553,10676,10854,11060,11075,11193,11633,11731,11915,12133,12138,12359,12362,12445,12617,12720,13049,13068,13071,4710,11846,11877,11912,11919,11952,3951,3722,3723,13074,13077,13080,4094,3546,3547,3521,4696,3412,4669,3903,4208,3706,4711,4279,11608,3835,3557,12088,12091,12535,12639,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,10859,11045,11289,11502,11797,11891,12037,12151,12154,4248,4207,12585,4155,11130,12231,12418,12595,4202,11335,12456,12534,12594,12638,3878,11923,12241,12390,12464,4236,3895,10679,10776,11338,11416,11495,11559,12411,12415,12480,12750,12815,12835,12845,4714,11078,11487,3518,10645,10742,10821,10895,10959,11034,11081,11084,11115,11141,11177,11215,11254,12040,12085,12211,12266,12286,12289,12292,12295,12473,12487,12490,12493,12496,12578,12642,12761,12811,3519,10727,10964,11055,11180,11822,12116,12119,12130,12217,12228,12247,12252,12298,12321,3520,12505,3594,12448,4695,10564,10593,11099,11144,11153,12000,12021,12185,12188,12191,12194,12282,12301,12304,12317,12371,12374,12377,12380,12546,12549,12645,12648,12754,12794,3669,10824,10915,11188,11232,11466,11469,11548,11630,11807,12693,4706,11108,11118,11224,11245,11248,11315,11318,11329,11432,11442,11454,11490,11507,11516,11556,11597,11602,11605,11624,11627,11664,11669,11672,11675,11678,11922,12064,12097,12365,12368,12402,12449,12476,12623,12667,12673,12773,12776,12798,12859,12865,12876,3579,10946,10976,10979,10988,10991,11577,12795,3618,3611,4030,3969,10596,11975,12003,4703,10544,10934,10937,11435,11451,11938,11991,12025,12148,12173,12176,12179,12182,12444,3539,10982,11138,11208,12004,12147,12343,12554,3993,12094,4327,3728,4700,4004,4038,4687,4689,4691,3495,3499,4690,4688,4450,3825,11968,4421,11829,4716,10845,10848,4721,11321,11324,11510,11621,11638,11684,4112,11681,12024,12028,12704,12712,3959,11251,11257,11275,12263,12395,12479,12769,3809,11391,11513,12511,12620,12630,12709,12764,12772,4284,3961,10985,11354,11519,11553,11564,12708,3670,3776,10898,10901,10994,11164,3778,4719,11969,4715,13058,4720,10735,10851,12573,12582,12626,12829,4382,11121,12591,12606,4290,3992,3937,3938,4717,10569,10572,10940,10943,11843,12029,4718,11949,3962,10904,4221,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497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% 203.03/202.86 cnf(13110,plain,
% 203.03/202.86 (P1(f318(f318(f225(a1),x131101),x131101))),
% 203.03/202.86 inference(rename_variables,[],[3519])).
% 203.03/202.86 cnf(13113,plain,
% 203.03/202.86 (P1(f318(f55(a920),f296(a920,x131131,x131132)))),
% 203.03/202.86 inference(rename_variables,[],[3723])).
% 203.03/202.86 cnf(13116,plain,
% 203.03/202.86 (P1(f318(f55(a920),f296(a920,x131161,x131162)))),
% 203.03/202.86 inference(rename_variables,[],[3723])).
% 203.03/202.86 cnf(13119,plain,
% 203.03/202.86 (P1(f318(f318(f225(a920),x131191),x131191))),
% 203.03/202.86 inference(rename_variables,[],[3518])).
% 203.03/202.86 cnf(13120,plain,
% 203.03/202.86 (~E(f318(a103,x131201),f2(a920))),
% 203.03/202.86 inference(rename_variables,[],[4667])).
% 203.03/202.86 cnf(13137,plain,
% 203.03/202.86 (P1(f318(f318(f225(a920),f39(a920,x131371,x131372)),x131371))),
% 203.03/202.86 inference(rename_variables,[],[3969])).
% 203.03/202.86 cnf(13142,plain,
% 203.03/202.86 (P1(f318(f318(f226(a920),x131421),f318(a103,x131421)))),
% 203.03/202.86 inference(rename_variables,[],[3586])).
% 203.03/202.86 cnf(13145,plain,
% 203.03/202.86 (P1(f318(f318(f226(a920),x131451),f318(a103,x131451)))),
% 203.03/202.86 inference(rename_variables,[],[3586])).
% 203.03/202.86 cnf(13146,plain,
% 203.03/202.86 (~P1(f318(f318(f226(a920),x131461),f2(a920)))),
% 203.03/202.86 inference(rename_variables,[],[4699])).
% 203.03/202.86 cnf(13155,plain,
% 203.03/202.86 (~P1(f318(f318(f226(a1),f318(f91(a1),x131551)),f2(a1)))),
% 203.03/202.86 inference(rename_variables,[],[4710])).
% 203.03/202.86 cnf(13156,plain,
% 203.03/202.86 (P1(f318(f233(f927(x131561,a918)),x131562))),
% 203.03/202.86 inference(rename_variables,[],[3579])).
% 203.03/202.86 cnf(13159,plain,
% 203.03/202.86 (~P1(f318(f318(f226(a1),f318(f91(a1),x131591)),f2(a1)))),
% 203.03/202.86 inference(rename_variables,[],[4710])).
% 203.03/202.86 cnf(13160,plain,
% 203.03/202.86 (P1(f318(f233(f927(x131601,a918)),x131602))),
% 203.03/202.86 inference(rename_variables,[],[3579])).
% 203.03/202.86 cnf(13163,plain,
% 203.03/202.86 (P1(f318(f233(f927(x131631,a918)),x131632))),
% 203.03/202.86 inference(rename_variables,[],[3579])).
% 203.03/202.86 cnf(13166,plain,
% 203.03/202.86 (P1(f318(f233(f927(x131661,a918)),x131662))),
% 203.03/202.86 inference(rename_variables,[],[3579])).
% 203.03/202.86 cnf(13174,plain,
% 203.03/202.86 (~P1(f318(f318(f320(x131741),x131742),f179(f927(x131741,a918))))),
% 203.03/202.86 inference(rename_variables,[],[4706])).
% 203.03/202.86 cnf(13175,plain,
% 203.03/202.86 (P1(f318(f55(x131751),f179(f927(x131751,a918))))),
% 203.03/202.86 inference(rename_variables,[],[3594])).
% 203.03/202.86 cnf(13178,plain,
% 203.03/202.86 (P1(f318(f318(f225(a920),x131781),x131781))),
% 203.03/202.86 inference(rename_variables,[],[3518])).
% 203.03/202.86 cnf(13187,plain,
% 203.03/202.86 (P1(f318(f318(f225(a920),f2(a920)),x131871))),
% 203.03/202.86 inference(rename_variables,[],[3539])).
% 203.03/202.86 cnf(13190,plain,
% 203.03/202.86 (P1(f318(f318(f226(a920),x131901),f318(a103,x131901)))),
% 203.03/202.86 inference(rename_variables,[],[3586])).
% 203.03/202.86 cnf(13191,plain,
% 203.03/202.86 (~E(f318(a103,x131911),x131911)),
% 203.03/202.86 inference(rename_variables,[],[4661])).
% 203.03/202.86 cnf(13194,plain,
% 203.03/202.86 (~P1(f318(f318(f320(x131941),x131942),f179(f927(x131941,a918))))),
% 203.03/202.86 inference(rename_variables,[],[4706])).
% 203.03/202.86 cnf(13197,plain,
% 203.03/202.86 (~P1(f318(f318(f320(x131971),x131972),f179(f927(x131971,a918))))),
% 203.03/202.86 inference(rename_variables,[],[4706])).
% 203.03/202.86 cnf(13200,plain,
% 203.03/202.86 (P1(f318(f318(f225(a920),x132001),x132001))),
% 203.03/202.86 inference(rename_variables,[],[3518])).
% 203.03/202.86 cnf(13208,plain,
% 203.03/202.86 (P1(f318(f318(f226(a920),x132081),f318(a103,x132081)))),
% 203.03/202.86 inference(rename_variables,[],[3586])).
% 203.03/202.86 cnf(13211,plain,
% 203.03/202.86 (P1(f318(f318(f225(a920),x132111),x132111))),
% 203.03/202.86 inference(rename_variables,[],[3518])).
% 203.03/202.86 cnf(13216,plain,
% 203.03/202.86 (P1(f318(f318(f225(a920),x132161),x132161))),
% 203.03/202.86 inference(rename_variables,[],[3518])).
% 203.03/202.86 cnf(13219,plain,
% 203.03/202.86 (P1(f318(f318(f225(a920),x132191),x132191))),
% 203.03/202.86 inference(rename_variables,[],[3518])).
% 203.03/202.86 cnf(13223,plain,
% 203.03/202.86 (P1(f318(f318(f225(a920),x132231),x132231))),
% 203.03/202.86 inference(rename_variables,[],[3518])).
% 203.03/202.86 cnf(13226,plain,
% 203.03/202.86 (P1(f318(f318(f225(a920),x132261),x132261))),
% 203.03/202.86 inference(rename_variables,[],[3518])).
% 203.03/202.86 cnf(13229,plain,
% 203.03/202.86 (E(f318(f318(f3(f927(x132291,a918)),f179(f927(x132291,a918))),x132292),f179(f927(x132291,a918)))),
% 203.03/202.86 inference(rename_variables,[],[3782])).
% 203.03/202.86 cnf(13230,plain,
% 203.03/202.86 (P1(f318(f55(x132301),f179(f927(x132301,a918))))),
% 203.03/202.86 inference(rename_variables,[],[3594])).
% 203.03/202.86 cnf(13233,plain,
% 203.03/202.86 (E(f318(f318(f3(f927(x132331,a918)),f179(f927(x132331,a918))),x132332),f179(f927(x132331,a918)))),
% 203.03/202.86 inference(rename_variables,[],[3782])).
% 203.03/202.86 cnf(13234,plain,
% 203.03/202.86 (P1(f318(f55(x132341),f179(f927(x132341,a918))))),
% 203.03/202.86 inference(rename_variables,[],[3594])).
% 203.03/202.86 cnf(13237,plain,
% 203.03/202.86 (E(f318(f318(f3(f927(x132371,a918)),f179(f927(x132371,a918))),x132372),f179(f927(x132371,a918)))),
% 203.03/202.86 inference(rename_variables,[],[3782])).
% 203.03/202.86 cnf(13238,plain,
% 203.03/202.86 (P1(f318(f55(x132381),f179(f927(x132381,a918))))),
% 203.03/202.86 inference(rename_variables,[],[3594])).
% 203.03/202.86 cnf(13241,plain,
% 203.03/202.86 (E(f318(f318(f3(f927(x132411,a918)),f179(f927(x132411,a918))),x132412),f179(f927(x132411,a918)))),
% 203.03/202.86 inference(rename_variables,[],[3782])).
% 203.03/202.86 cnf(13242,plain,
% 203.03/202.86 (P1(f318(f55(x132421),f179(f927(x132421,a918))))),
% 203.03/202.86 inference(rename_variables,[],[3594])).
% 203.03/202.86 cnf(13246,plain,
% 203.03/202.86 (E(f318(f275(x132461,x132461),f254(x132461,x132462)),x132462)),
% 203.03/202.86 inference(rename_variables,[],[3479])).
% 203.03/202.86 cnf(13251,plain,
% 203.03/202.86 (E(f318(f318(f3(f927(x132511,a918)),f179(f927(x132511,a918))),x132512),f179(f927(x132511,a918)))),
% 203.03/202.86 inference(rename_variables,[],[3782])).
% 203.03/202.86 cnf(13252,plain,
% 203.03/202.86 (P1(f318(f55(x132521),f179(f927(x132521,a918))))),
% 203.03/202.86 inference(rename_variables,[],[3594])).
% 203.03/202.86 cnf(13256,plain,
% 203.03/202.86 (P1(f318(f55(x132561),f179(f927(x132561,a918))))),
% 203.03/202.86 inference(rename_variables,[],[3594])).
% 203.03/202.86 cnf(13259,plain,
% 203.03/202.86 (P1(f318(f318(f225(a920),x132591),x132591))),
% 203.03/202.86 inference(rename_variables,[],[3518])).
% 203.03/202.86 cnf(13263,plain,
% 203.03/202.86 (P1(f318(f318(f225(a1),x132631),x132631))),
% 203.03/202.86 inference(rename_variables,[],[3519])).
% 203.03/202.86 cnf(13270,plain,
% 203.03/202.86 (P1(f318(f318(f225(a920),x132701),x132701))),
% 203.03/202.86 inference(rename_variables,[],[3518])).
% 203.03/202.86 cnf(13283,plain,
% 203.03/202.86 (P1(f318(f318(f225(a1),x132831),x132831))),
% 203.03/202.86 inference(rename_variables,[],[3519])).
% 203.03/202.86 cnf(13294,plain,
% 203.03/202.86 (~P1(f318(f318(f320(x132941),x132942),f179(f927(x132941,a918))))),
% 203.03/202.86 inference(rename_variables,[],[4706])).
% 203.03/202.86 cnf(13307,plain,
% 203.03/202.86 (P1(f318(f318(f320(x133071),x133072),f233(f927(x133071,a918))))),
% 203.03/202.86 inference(rename_variables,[],[3669])).
% 203.03/202.86 cnf(13308,plain,
% 203.03/202.86 (E(f318(f183(x133081,x133082),x133083),f112(x133081,x133082))),
% 203.03/202.86 inference(rename_variables,[],[3433])).
% 203.03/202.86 cnf(13311,plain,
% 203.03/202.86 (P1(f318(f318(f320(x133111),f318(x133112,x133113)),f318(f301(x133114,x133111,x133112),f233(f927(x133114,a918)))))),
% 203.03/202.86 inference(rename_variables,[],[4112])).
% 203.03/202.86 cnf(13315,plain,
% 203.03/202.86 (P1(f318(f318(f225(f927(x133151,a918)),x133152),f233(f927(x133151,a918))))),
% 203.03/202.86 inference(rename_variables,[],[3895])).
% 203.03/202.86 cnf(13318,plain,
% 203.03/202.86 (P1(f318(f318(f225(f927(x133181,a918)),x133182),x133182))),
% 203.03/202.86 inference(rename_variables,[],[3809])).
% 203.03/202.86 cnf(13324,plain,
% 203.03/202.86 (~P1(f318(f318(f226(a920),x133241),f2(a920)))),
% 203.03/202.86 inference(rename_variables,[],[4699])).
% 203.03/202.86 cnf(13325,plain,
% 203.03/202.86 (P1(f318(f318(f225(a1),x133251),x133251))),
% 203.03/202.86 inference(rename_variables,[],[3519])).
% 203.03/202.86 cnf(13329,plain,
% 203.03/202.86 (~P1(f318(f318(f226(a920),x133291),f2(a920)))),
% 203.03/202.86 inference(rename_variables,[],[4699])).
% 203.03/202.86 cnf(13330,plain,
% 203.03/202.86 (P1(f318(f318(f225(a1),x133301),x133301))),
% 203.03/202.86 inference(rename_variables,[],[3519])).
% 203.03/202.86 cnf(13335,plain,
% 203.03/202.86 (P1(f318(f318(f225(a920),x133351),x133351))),
% 203.03/202.86 inference(rename_variables,[],[3518])).
% 203.03/202.86 cnf(13342,plain,
% 203.03/202.86 (E(f318(f318(f18(x133421,x133422),x133423),x133424),x133423)),
% 203.03/202.86 inference(rename_variables,[],[3509])).
% 203.03/202.86 cnf(13345,plain,
% 203.03/202.86 (P1(f318(f318(f225(f927(x133451,a918)),f318(f163(x133451),f167(x133451,x133452,x133453))),f318(f163(x133451),x133452)))),
% 203.03/202.86 inference(rename_variables,[],[4202])).
% 203.03/202.86 cnf(13352,plain,
% 203.03/202.86 (~P1(f318(f318(f226(a920),x133521),f2(a920)))),
% 203.03/202.86 inference(rename_variables,[],[4699])).
% 203.03/202.86 cnf(13353,plain,
% 203.03/202.86 (P1(f318(f318(f225(a1),x133531),x133531))),
% 203.03/202.86 inference(rename_variables,[],[3519])).
% 203.03/202.86 cnf(13357,plain,
% 203.03/202.86 (~P1(f318(f318(f226(a920),x133571),f2(a920)))),
% 203.03/202.86 inference(rename_variables,[],[4699])).
% 203.03/202.86 cnf(13358,plain,
% 203.03/202.86 (P1(f318(f318(f225(a1),x133581),x133581))),
% 203.03/202.86 inference(rename_variables,[],[3519])).
% 203.03/202.86 cnf(13362,plain,
% 203.03/202.86 (~P1(f318(f318(f225(f927(a920,a918)),f294(a920,f318(a103,x133621),f318(a103,x133621))),f294(a920,x133622,x133621)))),
% 203.03/202.86 inference(scs_inference,[],[3562,4170,12791,12816,12955,12957,3753,11406,12459,12564,12567,12659,12701,12705,12713,12785,12902,3762,12531,13028,13030,3769,3488,12924,12926,12928,3489,12988,3455,12870,4681,4682,12048,4443,12994,3492,13024,3330,3386,12947,3387,13001,3388,3389,3390,12741,12983,4680,3811,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,10870,11183,11376,11379,11398,11401,11594,11695,11702,11716,11762,11765,11787,11804,11819,11882,11939,11955,12242,12267,12283,12312,12318,12412,12527,12694,12755,12898,3574,3537,13007,3721,12214,3439,4667,10716,10816,11286,11386,4673,3127,3128,3130,3131,3134,3135,3137,3138,3139,3141,3145,3146,3150,3151,3153,3154,3155,3156,3165,3166,3171,3175,3176,3177,3188,3190,3199,3202,3210,3213,3219,3231,3237,3243,3244,3245,3257,3265,3270,3271,3273,3274,3277,3278,3282,3283,3289,3299,3309,3409,3410,4658,3313,3385,4659,3851,4076,11986,3363,11692,3500,3476,3479,10556,10559,10652,10655,10973,11707,11710,11830,11869,11874,11981,12433,12635,12848,12900,12914,12916,12918,12930,12937,12945,13005,13011,13013,3450,12726,12730,12734,3456,3465,3971,4272,3433,13308,3585,12788,12873,3353,3715,4062,11738,3573,3416,3349,3376,3830,3372,3571,4179,4070,3893,3359,3340,3983,3396,3575,11133,11260,12528,12745,3449,4144,4675,10547,10713,11591,11790,12686,12727,12731,4678,12698,3509,12067,12070,4102,4704,11312,11411,11647,11650,3912,3622,3836,4684,3589,12953,12972,12974,3413,3414,10617,10949,3674,3404,3331,3435,11728,4286,12716,12860,4146,11332,11463,11522,12670,12676,12805,12808,12838,4722,11235,11476,11585,11611,11655,11661,12614,4723,11365,11479,11588,4724,11482,4725,11540,4726,3434,3713,12570,12611,12697,3877,3662,4557,4558,3734,4672,11721,3855,3812,3857,4026,3782,13229,13233,13237,13241,13251,4072,12561,3699,3954,3586,10636,10755,10836,10909,10912,10952,11052,11302,11916,12238,12305,12383,12424,12499,12502,12842,13103,13142,13145,13190,13208,3964,11972,3502,3598,11803,3775,4699,10524,10527,10553,10676,10854,11060,11075,11193,11633,11731,11915,12133,12138,12359,12362,12445,12617,12720,13049,13068,13071,13095,13146,13324,13329,13352,4710,11846,11877,11912,11919,11952,13155,13159,3951,3722,3723,13074,13077,13080,13083,13113,4094,3546,3547,3521,4696,3412,4669,3903,4208,3706,4711,4279,11608,3835,3557,12088,12091,12535,12639,12819,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,10859,11045,11289,11502,11797,11891,12037,12151,12154,4248,4207,12585,4155,11130,12231,12418,12595,4202,11335,12456,12534,12594,12638,3878,11923,12241,12390,12464,12518,4236,3895,10679,10776,11338,11416,11495,11559,12411,12415,12480,12750,12815,12835,12845,4714,11078,11487,3518,10645,10742,10821,10895,10959,11034,11081,11084,11115,11141,11177,11215,11254,12040,12085,12211,12266,12286,12289,12292,12295,12473,12487,12490,12493,12496,12578,12642,12761,12811,13096,13119,13178,13200,13211,13216,13219,13223,13226,13259,13270,13335,3519,10727,10964,11055,11180,11822,12116,12119,12130,12217,12228,12247,12252,12298,12321,12338,13110,13263,13283,13325,13330,13353,3520,12505,12508,3594,12448,13175,13230,13234,13238,13242,13252,13256,4695,10564,10593,11099,11144,11153,12000,12021,12185,12188,12191,12194,12282,12301,12304,12317,12371,12374,12377,12380,12546,12549,12645,12648,12754,12794,12882,3669,10824,10915,11188,11232,11466,11469,11548,11630,11807,12693,12885,4706,11108,11118,11224,11245,11248,11315,11318,11329,11432,11442,11454,11490,11507,11516,11556,11597,11602,11605,11624,11627,11664,11669,11672,11675,11678,11922,12064,12097,12365,12368,12402,12449,12476,12623,12667,12673,12773,12776,12798,12859,12865,12876,12892,13174,13194,13197,3579,10946,10976,10979,10988,10991,11577,12795,12812,13156,13160,13163,13166,3618,3611,4030,3969,10596,11975,12003,13137,4703,10544,10934,10937,11435,11451,11938,11991,12025,12148,12173,12176,12179,12182,12444,3539,10982,11138,11208,12004,12147,12343,12554,12579,3993,12094,13090,4327,3728,4700,4004,4038,4687,4689,4691,3495,3499,4690,4688,4450,3825,11968,4421,11829,4716,10845,10848,4721,11321,11324,11510,11621,11638,11684,4112,11681,12024,12028,12704,12712,12804,3959,11251,11257,11275,12263,12395,12479,12769,3809,11391,11513,12511,12620,12630,12709,12764,12772,12889,4284,3961,10985,11354,11519,11553,11564,12708,3670,3776,10898,10901,10994,11164,3777,3778,4719,11969,4715,13058,4720,10735,10851,12573,12582,12626,12829,4382,11121,12591,12606,4290,3992,12895,3937,3938,4717,10569,10572,10940,10943,11843,12029,12841,4718,11949,12034,3962,10904,4221,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497,6499,6505,6510,6544,6545,6548,6549,6550,6552,6553,6554,6555,6564,6597,6598,6607,6629,6630,6652,6654,6666,6667,6673,6703,6705,6720,6758,6761,6762,6820,6843,6888,6903,6910,6919,6920,6921,6922,6941,6942,6949,6961,6964,6966,6967,6968,6970,6972,6986,6997,6998,6999,7013,7070,7081,7083,7087,7106,7107,7142,7149,7154,7185,7215,7272,7301,7359,7380,7390,7394,7454,7464,7524,7526,7540,7549,7550,7551,7569,7573,7575,7620,7630,7633,7648,7695,7697,7700,7743,7744,7762,7832,7850,7875,7898,7910,7924,7935,7946,7947,7973,7975,7977,7986,8025,8037,8062,8089,8122,8154,8188,8227,8243,8245,8261,8262,8330,8341,8408,8432,8451,8478,8517,8518,8536,8575,8577,8579,8586,8601,8605,8620,8643,8651,8653,8663,8668,8672,8673,8674,8675,8676,8677,8699,8713,8714,8732,8733,8738,8739,8740,8741,8742,8760,8761,8762,8773,8786,8789,8800,8805,8807,8809,8810,8811,8818,8824,8832,8835,8852,8853,8862,8863,8871,8890,8903,8907,8928,8950,8951,8954,8955,8961,8971,8972,8995,9006,9016,9017,9018,9021,9044,9045,9056,9108,9118,9120,9136,9148,9149,9150,9161,9227,9258,9259,9260,9275,9292,9300,9328,9329,9400,9433,9439,9449,9450,9451,9461,9490,9506,9510,9514,9537,9538,9565,9630,9635,9638,9671,9672,9673,9697,9698,9714,9735,9741,9753,9778,9799,9808,9809,9810,9811,9827,9829,9834,9864,9865,9871,9872,9918,9919,9930,9931,9955,9974,9976,9977,9986,9991,10000,10025,10059,10061,10065,10115,10149,10159,10161,10165,10166,10168,10177,10178,10198,10203,10297,10384,10385,10386,10387,10449,10468,2,8,9,4746,4747,4765,4807,4808,4810,4833,4835,4836,4846,4891,4893,4941,5071,5072,5086,5110,5165,5166,5172,5173,5175,5177,5186,5189,5190,5198,5211,5212,5218,5239,5240,5261,5266,5267,5268,5269,5273,5281,5284,5292,5293,5294,5350,5355,5356,5361,5367,5397,5407,5412,5422,5440,5441,5448,5449,5451,5462,5480,5482,5483,5490,5497,5498,5510,5511,5512,5513,5515,5516,5521,5522,5523,5524,5554,5555,5556,5564,5565,5566,5567,5610,5615,5617,5653,5655,5656,5658,5659,5661,5662,5664,5673,5678,5679,5680,5682,5684,5685,5686,5687,5688,5689,5698,5708,5711,5722,5738,5739,5742,5753,5756,5757,5758,5785,5795,5811,5812,5821,5822,5824,5826,5831,5866,5871,5873,5932,5967,5968,5973,5979,5982,5983,5984,5985,6005,6010,6011,6020,6042,6075,6094,6095,6099,6100,6102,6125,6129,6132,6133,6134,6150,6165,6166,6198,6199,6203,6224,6227,6230,6252,6253,6281,6284,6293,6303,6311,6315,6323,6324,6325,6326,6358,6376,6428,6465,6467,6468,6490,6491,6498,6502,6503,6506,6521,6536,6557,6558,6565,6575,6590,6610,6617,6619,6634,6635,6638,6639,6641,6643,6644,6645,6647,6649,6653,6659,6660,6662,6663,6669,6671,6713,6719,6734,6737,6738,6739,6776,6781,6783,6788,6789,6799,6802,6815,6838,6839,6841,6842,6854,6860,6880,6883,6904,6923,6932,6935,6936,6937,6943,6957,6976,6978,6980,6982,6987,6993,6995,7010,7015,7016,7055,7056,7057,7072,7073,7075,7076,7097,7098,7113,7140,7162,7174,7176,7178,7180,7181,7212,7213,7214,7218,7219,7226,7227,7229,7231,7253,7263,7264,7275,7285,7325,7336,7342,7349,7360,7365,7367,7374,7383,7384,7398,7415,7436,7438,7457,7510,7511,7512,7514,7516,7520,7525,7588,7616,7631,7647,7678,7681,7688,7703,7727,7745,7748,7749,7759,7779,7781,7783,7785,7786,7787,7788,7789,7814,7840,7841,7874,7876,7877,7878,7883,7904,7921,7926,7932,7934,7942,7954,7955,7957,7978,7984,8006,8075,8076,8077,8125,8132,8133,8156,8157,8174,8175,8176,8234,8235,8264,8294,8304,8318,8333,8364,8368,8374,8386,8404,8409,8431,8476,8505,8519,8539,8542,8568,8595,8654,8655,8658,8659,8730,8764,8765,8766,8767,8795,8827,8856,8864,8865,8906,8927,8973,8989,9035,9038,9053,9060,9105,9144,9145,9163,9164,9178,9297,9302,9306,9326,9337,9362,9364,9367,9373,9375,9376,9386,9387,9407,9415,9425,9432,9475,9494,9515,9550,9551,9557,9596,9622,9627,9667,9677,9680,9681,9683,9684,9696,9719,9734,9743,9744,9746,9748,9777,9899,9900,9950,9951,9992,10030,10140,10207,10358,10376,10381,3,2846,2854,2855,2856,2857,2858,2859,2860,2864,2871,2872,2874,2875,2876,2893,2894,2895,2900,2903,2904,2905,2907,2908,2911,2912,2913,2915,2916,2920,2938,2939,2940,2941,2942,2945,2946,2947,2948,2949,2957,2958,2959,2967,2968,2978,2979,2981,2982,2994,2995,3001,3003,3005,3008,3009,3011,3012,3013,3017,3020,3021,3022,3032,3033,3034,3035,3036,3041,3044,3045,3048,3049,3050,3076,3078,3080,3081,3083,3084,3088,3089,3092,5349,5439,5479,5626,5627,5628,5709,5810,5840,5874,5890,5892,5898,5960,5961,5962,5963,5971,6007,6145,6187,6197,6221,6256,6294,6444,6449,6488,6489,6511,6514,6516,6523,6524,6525,6526,6527,6528,6529,6530,6612,6683,6684,6775,6810,6811,6851,6852,6994,7009,7067,7084,7085,7092,7114,7138,7146,7148,7195,7216,7217,7235,7236,7274,7319,7320,7382,7422,7491,7492,7493,7494,7509,7541,7593,7594,7602,7607,7608,7619,7650,7651,7652,7653,7796,7798,7799,7800,7806,7807,8012,8015,8021,8022,8031,8034,8072,8073,8152,8193,8247,8269,8270,8349,8444,8515,8516,8520,8554,8591,8616,8617,8686,8706])).
% 203.03/202.86 cnf(13363,plain,
% 203.03/202.86 (P1(f318(f318(f225(a920),x133631),x133631))),
% 203.03/202.86 inference(rename_variables,[],[3518])).
% 203.03/202.86 cnf(13365,plain,
% 203.03/202.86 (~P1(f318(f318(f226(f927(a920,a918)),f294(a920,f318(a103,x133651),f318(a103,x133651))),f294(a920,x133652,x133651)))),
% 203.03/202.86 inference(scs_inference,[],[3562,4170,12791,12816,12955,12957,3753,11406,12459,12564,12567,12659,12701,12705,12713,12785,12902,3762,12531,13028,13030,3769,3488,12924,12926,12928,3489,12988,3455,12870,4681,4682,12048,4443,12994,3492,13024,3330,3386,12947,3387,13001,3388,3389,3390,12741,12983,4680,3811,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,10870,11183,11376,11379,11398,11401,11594,11695,11702,11716,11762,11765,11787,11804,11819,11882,11939,11955,12242,12267,12283,12312,12318,12412,12527,12694,12755,12898,3574,3537,13007,3721,12214,3439,4667,10716,10816,11286,11386,4673,3127,3128,3130,3131,3134,3135,3137,3138,3139,3141,3145,3146,3150,3151,3153,3154,3155,3156,3165,3166,3171,3175,3176,3177,3188,3190,3199,3202,3210,3213,3219,3231,3237,3243,3244,3245,3257,3265,3270,3271,3273,3274,3277,3278,3282,3283,3289,3299,3309,3409,3410,4658,3313,3385,4659,3851,4076,11986,3363,11692,3500,3476,3479,10556,10559,10652,10655,10973,11707,11710,11830,11869,11874,11981,12433,12635,12848,12900,12914,12916,12918,12930,12937,12945,13005,13011,13013,3450,12726,12730,12734,3456,3465,3971,4272,3433,13308,3585,12788,12873,3353,3715,4062,11738,3573,3416,3349,3376,3830,3372,3571,4179,4070,3893,3359,3340,3983,3396,3575,11133,11260,12528,12745,3449,4144,4675,10547,10713,11591,11790,12686,12727,12731,4678,12698,3509,12067,12070,4102,4704,11312,11411,11647,11650,3912,3622,3836,4684,3589,12953,12972,12974,3413,3414,10617,10949,3674,3404,3331,3435,11728,4286,12716,12860,4146,11332,11463,11522,12670,12676,12805,12808,12838,4722,11235,11476,11585,11611,11655,11661,12614,4723,11365,11479,11588,4724,11482,4725,11540,4726,3434,3713,12570,12611,12697,3877,3662,4557,4558,3734,4672,11721,3855,3812,3857,4026,3782,13229,13233,13237,13241,13251,4072,12561,3699,3954,3586,10636,10755,10836,10909,10912,10952,11052,11302,11916,12238,12305,12383,12424,12499,12502,12842,13103,13142,13145,13190,13208,3964,11972,3502,3598,11803,3775,4699,10524,10527,10553,10676,10854,11060,11075,11193,11633,11731,11915,12133,12138,12359,12362,12445,12617,12720,13049,13068,13071,13095,13146,13324,13329,13352,4710,11846,11877,11912,11919,11952,13155,13159,3951,3722,3723,13074,13077,13080,13083,13113,4094,3546,3547,3521,4696,3412,4669,3903,4208,3706,4711,4279,11608,3835,3557,12088,12091,12535,12639,12819,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,10859,11045,11289,11502,11797,11891,12037,12151,12154,4248,4207,12585,4155,11130,12231,12418,12595,4202,11335,12456,12534,12594,12638,3878,11923,12241,12390,12464,12518,4236,3895,10679,10776,11338,11416,11495,11559,12411,12415,12480,12750,12815,12835,12845,4714,11078,11487,3518,10645,10742,10821,10895,10959,11034,11081,11084,11115,11141,11177,11215,11254,12040,12085,12211,12266,12286,12289,12292,12295,12473,12487,12490,12493,12496,12578,12642,12761,12811,13096,13119,13178,13200,13211,13216,13219,13223,13226,13259,13270,13335,13363,3519,10727,10964,11055,11180,11822,12116,12119,12130,12217,12228,12247,12252,12298,12321,12338,13110,13263,13283,13325,13330,13353,3520,12505,12508,3594,12448,13175,13230,13234,13238,13242,13252,13256,4695,10564,10593,11099,11144,11153,12000,12021,12185,12188,12191,12194,12282,12301,12304,12317,12371,12374,12377,12380,12546,12549,12645,12648,12754,12794,12882,3669,10824,10915,11188,11232,11466,11469,11548,11630,11807,12693,12885,4706,11108,11118,11224,11245,11248,11315,11318,11329,11432,11442,11454,11490,11507,11516,11556,11597,11602,11605,11624,11627,11664,11669,11672,11675,11678,11922,12064,12097,12365,12368,12402,12449,12476,12623,12667,12673,12773,12776,12798,12859,12865,12876,12892,13174,13194,13197,3579,10946,10976,10979,10988,10991,11577,12795,12812,13156,13160,13163,13166,3618,3611,4030,3969,10596,11975,12003,13137,4703,10544,10934,10937,11435,11451,11938,11991,12025,12148,12173,12176,12179,12182,12444,3539,10982,11138,11208,12004,12147,12343,12554,12579,3993,12094,13090,4327,3728,4700,4004,4038,4687,4689,4691,3495,3499,4690,4688,4450,3825,11968,4421,11829,4716,10845,10848,4721,11321,11324,11510,11621,11638,11684,4112,11681,12024,12028,12704,12712,12804,3959,11251,11257,11275,12263,12395,12479,12769,3809,11391,11513,12511,12620,12630,12709,12764,12772,12889,4284,3961,10985,11354,11519,11553,11564,12708,3670,3776,10898,10901,10994,11164,3777,3778,4719,11969,4715,13058,4720,10735,10851,12573,12582,12626,12829,4382,11121,12591,12606,4290,3992,12895,3937,3938,4717,10569,10572,10940,10943,11843,12029,12841,4718,11949,12034,3962,10904,4221,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497,6499,6505,6510,6544,6545,6548,6549,6550,6552,6553,6554,6555,6564,6597,6598,6607,6629,6630,6652,6654,6666,6667,6673,6703,6705,6720,6758,6761,6762,6820,6843,6888,6903,6910,6919,6920,6921,6922,6941,6942,6949,6961,6964,6966,6967,6968,6970,6972,6986,6997,6998,6999,7013,7070,7081,7083,7087,7106,7107,7142,7149,7154,7185,7215,7272,7301,7359,7380,7390,7394,7454,7464,7524,7526,7540,7549,7550,7551,7569,7573,7575,7620,7630,7633,7648,7695,7697,7700,7743,7744,7762,7832,7850,7875,7898,7910,7924,7935,7946,7947,7973,7975,7977,7986,8025,8037,8062,8089,8122,8154,8188,8227,8243,8245,8261,8262,8330,8341,8408,8432,8451,8478,8517,8518,8536,8575,8577,8579,8586,8601,8605,8620,8643,8651,8653,8663,8668,8672,8673,8674,8675,8676,8677,8699,8713,8714,8732,8733,8738,8739,8740,8741,8742,8760,8761,8762,8773,8786,8789,8800,8805,8807,8809,8810,8811,8818,8824,8832,8835,8852,8853,8862,8863,8871,8890,8903,8907,8928,8950,8951,8954,8955,8961,8971,8972,8995,9006,9016,9017,9018,9021,9044,9045,9056,9108,9118,9120,9136,9148,9149,9150,9161,9227,9258,9259,9260,9275,9292,9300,9328,9329,9400,9433,9439,9449,9450,9451,9461,9490,9506,9510,9514,9537,9538,9565,9630,9635,9638,9671,9672,9673,9697,9698,9714,9735,9741,9753,9778,9799,9808,9809,9810,9811,9827,9829,9834,9864,9865,9871,9872,9918,9919,9930,9931,9955,9974,9976,9977,9986,9991,10000,10025,10059,10061,10065,10115,10149,10159,10161,10165,10166,10168,10177,10178,10198,10203,10297,10384,10385,10386,10387,10449,10468,2,8,9,4746,4747,4765,4807,4808,4810,4833,4835,4836,4846,4891,4893,4941,5071,5072,5086,5110,5165,5166,5172,5173,5175,5177,5186,5189,5190,5198,5211,5212,5218,5239,5240,5261,5266,5267,5268,5269,5273,5281,5284,5292,5293,5294,5350,5355,5356,5361,5367,5397,5407,5412,5422,5440,5441,5448,5449,5451,5462,5480,5482,5483,5490,5497,5498,5510,5511,5512,5513,5515,5516,5521,5522,5523,5524,5554,5555,5556,5564,5565,5566,5567,5610,5615,5617,5653,5655,5656,5658,5659,5661,5662,5664,5673,5678,5679,5680,5682,5684,5685,5686,5687,5688,5689,5698,5708,5711,5722,5738,5739,5742,5753,5756,5757,5758,5785,5795,5811,5812,5821,5822,5824,5826,5831,5866,5871,5873,5932,5967,5968,5973,5979,5982,5983,5984,5985,6005,6010,6011,6020,6042,6075,6094,6095,6099,6100,6102,6125,6129,6132,6133,6134,6150,6165,6166,6198,6199,6203,6224,6227,6230,6252,6253,6281,6284,6293,6303,6311,6315,6323,6324,6325,6326,6358,6376,6428,6465,6467,6468,6490,6491,6498,6502,6503,6506,6521,6536,6557,6558,6565,6575,6590,6610,6617,6619,6634,6635,6638,6639,6641,6643,6644,6645,6647,6649,6653,6659,6660,6662,6663,6669,6671,6713,6719,6734,6737,6738,6739,6776,6781,6783,6788,6789,6799,6802,6815,6838,6839,6841,6842,6854,6860,6880,6883,6904,6923,6932,6935,6936,6937,6943,6957,6976,6978,6980,6982,6987,6993,6995,7010,7015,7016,7055,7056,7057,7072,7073,7075,7076,7097,7098,7113,7140,7162,7174,7176,7178,7180,7181,7212,7213,7214,7218,7219,7226,7227,7229,7231,7253,7263,7264,7275,7285,7325,7336,7342,7349,7360,7365,7367,7374,7383,7384,7398,7415,7436,7438,7457,7510,7511,7512,7514,7516,7520,7525,7588,7616,7631,7647,7678,7681,7688,7703,7727,7745,7748,7749,7759,7779,7781,7783,7785,7786,7787,7788,7789,7814,7840,7841,7874,7876,7877,7878,7883,7904,7921,7926,7932,7934,7942,7954,7955,7957,7978,7984,8006,8075,8076,8077,8125,8132,8133,8156,8157,8174,8175,8176,8234,8235,8264,8294,8304,8318,8333,8364,8368,8374,8386,8404,8409,8431,8476,8505,8519,8539,8542,8568,8595,8654,8655,8658,8659,8730,8764,8765,8766,8767,8795,8827,8856,8864,8865,8906,8927,8973,8989,9035,9038,9053,9060,9105,9144,9145,9163,9164,9178,9297,9302,9306,9326,9337,9362,9364,9367,9373,9375,9376,9386,9387,9407,9415,9425,9432,9475,9494,9515,9550,9551,9557,9596,9622,9627,9667,9677,9680,9681,9683,9684,9696,9719,9734,9743,9744,9746,9748,9777,9899,9900,9950,9951,9992,10030,10140,10207,10358,10376,10381,3,2846,2854,2855,2856,2857,2858,2859,2860,2864,2871,2872,2874,2875,2876,2893,2894,2895,2900,2903,2904,2905,2907,2908,2911,2912,2913,2915,2916,2920,2938,2939,2940,2941,2942,2945,2946,2947,2948,2949,2957,2958,2959,2967,2968,2978,2979,2981,2982,2994,2995,3001,3003,3005,3008,3009,3011,3012,3013,3017,3020,3021,3022,3032,3033,3034,3035,3036,3041,3044,3045,3048,3049,3050,3076,3078,3080,3081,3083,3084,3088,3089,3092,5349,5439,5479,5626,5627,5628,5709,5810,5840,5874,5890,5892,5898,5960,5961,5962,5963,5971,6007,6145,6187,6197,6221,6256,6294,6444,6449,6488,6489,6511,6514,6516,6523,6524,6525,6526,6527,6528,6529,6530,6612,6683,6684,6775,6810,6811,6851,6852,6994,7009,7067,7084,7085,7092,7114,7138,7146,7148,7195,7216,7217,7235,7236,7274,7319,7320,7382,7422,7491,7492,7493,7494,7509,7541,7593,7594,7602,7607,7608,7619,7650,7651,7652,7653,7796,7798,7799,7800,7806,7807,8012,8015,8021,8022,8031,8034,8072,8073,8152,8193,8247,8269,8270,8349,8444,8515,8516,8520,8554,8591,8616,8617,8686,8706,8707])).
% 203.03/202.86 cnf(13366,plain,
% 203.03/202.86 (P1(f318(f318(f225(a920),x133661),x133661))),
% 203.03/202.86 inference(rename_variables,[],[3518])).
% 203.03/202.86 cnf(13369,plain,
% 203.03/202.86 (~P1(f318(f318(f225(a920),f318(a103,x133691)),x133691))),
% 203.03/202.86 inference(rename_variables,[],[4703])).
% 203.03/202.86 cnf(13374,plain,
% 203.03/202.86 (E(x133741,f833(f318(f7(x133742),f318(f7(x133742),x133741)),f7(x133742),x133742,x133742))),
% 203.03/202.86 inference(scs_inference,[],[3562,4170,12791,12816,12955,12957,3753,11406,12459,12564,12567,12659,12701,12705,12713,12785,12902,12904,3762,12531,13028,13030,3769,3488,12924,12926,12928,3489,12988,3455,12870,4681,4682,12048,4443,12994,3492,13024,3330,3386,12947,3387,13001,3388,3389,3390,12741,12983,4680,3811,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,10870,11183,11376,11379,11398,11401,11594,11695,11702,11716,11762,11765,11787,11804,11819,11882,11939,11955,12242,12267,12283,12312,12318,12412,12527,12694,12755,12898,3574,3537,13007,3721,12214,3439,4667,10716,10816,11286,11386,4673,3127,3128,3130,3131,3134,3135,3137,3138,3139,3141,3145,3146,3150,3151,3153,3154,3155,3156,3165,3166,3171,3175,3176,3177,3188,3190,3199,3202,3210,3213,3219,3231,3237,3243,3244,3245,3257,3265,3270,3271,3273,3274,3277,3278,3282,3283,3289,3299,3309,3409,3410,4658,3313,3385,4659,3851,4076,11986,3363,11692,3500,3476,3479,10556,10559,10652,10655,10973,11707,11710,11830,11869,11874,11981,12433,12635,12848,12900,12914,12916,12918,12930,12937,12945,13005,13011,13013,3450,12726,12730,12734,3456,3465,3971,4272,3433,13308,3585,12788,12873,3352,3353,3715,4062,11738,3573,3416,3349,3376,3830,3372,3571,4179,4070,3893,3359,3340,3983,3396,3575,11133,11260,12528,12745,3449,4144,4675,10547,10713,11591,11790,12686,12727,12731,4678,12698,3509,12067,12070,4102,4704,11312,11411,11647,11650,3912,3622,3836,4684,3589,12953,12972,12974,3413,3414,10617,10949,3674,3404,3331,3435,11728,4286,12716,12860,4146,11332,11463,11522,12670,12676,12805,12808,12838,4722,11235,11476,11585,11611,11655,11661,12614,4723,11365,11479,11588,4724,11482,4725,11540,4726,3434,3713,12570,12611,12697,3877,3662,4557,4558,3734,4672,11721,3855,3812,3857,4026,3782,13229,13233,13237,13241,13251,4072,12561,3699,3954,3586,10636,10755,10836,10909,10912,10952,11052,11302,11916,12238,12305,12383,12424,12499,12502,12842,13103,13142,13145,13190,13208,3964,11972,3502,3598,11803,3775,4699,10524,10527,10553,10676,10854,11060,11075,11193,11633,11731,11915,12133,12138,12359,12362,12445,12617,12720,13049,13068,13071,13095,13146,13324,13329,13352,4710,11846,11877,11912,11919,11952,13155,13159,3951,3722,3723,13074,13077,13080,13083,13113,4094,3546,3547,3521,4696,3412,4669,3903,4208,3706,4711,4279,11608,3835,3557,12088,12091,12535,12639,12819,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,10859,11045,11289,11502,11797,11891,12037,12151,12154,4248,4207,12585,4155,11130,12231,12418,12595,4202,11335,12456,12534,12594,12638,3878,11923,12241,12390,12464,12518,4236,3895,10679,10776,11338,11416,11495,11559,12411,12415,12480,12750,12815,12835,12845,4714,11078,11487,3518,10645,10742,10821,10895,10959,11034,11081,11084,11115,11141,11177,11215,11254,12040,12085,12211,12266,12286,12289,12292,12295,12473,12487,12490,12493,12496,12578,12642,12761,12811,13096,13119,13178,13200,13211,13216,13219,13223,13226,13259,13270,13335,13363,13366,3519,10727,10964,11055,11180,11822,12116,12119,12130,12217,12228,12247,12252,12298,12321,12338,13110,13263,13283,13325,13330,13353,3520,12505,12508,3594,12448,13175,13230,13234,13238,13242,13252,13256,4695,10564,10593,11099,11144,11153,12000,12021,12185,12188,12191,12194,12282,12301,12304,12317,12371,12374,12377,12380,12546,12549,12645,12648,12754,12794,12882,3669,10824,10915,11188,11232,11466,11469,11548,11630,11807,12693,12885,4706,11108,11118,11224,11245,11248,11315,11318,11329,11432,11442,11454,11490,11507,11516,11556,11597,11602,11605,11624,11627,11664,11669,11672,11675,11678,11922,12064,12097,12365,12368,12402,12449,12476,12623,12667,12673,12773,12776,12798,12859,12865,12876,12892,13174,13194,13197,3579,10946,10976,10979,10988,10991,11577,12795,12812,13156,13160,13163,13166,3618,3611,4030,3969,10596,11975,12003,13137,4703,10544,10934,10937,11435,11451,11938,11991,12025,12148,12173,12176,12179,12182,12444,13369,3539,10982,11138,11208,12004,12147,12343,12554,12579,3993,12094,13090,4327,3728,4700,4004,4038,4687,4689,4691,3495,3499,4690,4688,4450,3825,11968,4421,11829,4716,10845,10848,4721,11321,11324,11510,11621,11638,11684,4112,11681,12024,12028,12704,12712,12804,13311,3959,11251,11257,11275,12263,12395,12479,12769,3809,11391,11513,12511,12620,12630,12709,12764,12772,12889,4284,3961,10985,11354,11519,11553,11564,12708,3670,3776,10898,10901,10994,11164,3777,3778,4719,11969,4715,13058,4720,10735,10851,12573,12582,12626,12829,4382,11121,12591,12606,4290,3992,12895,3937,3938,4717,10569,10572,10940,10943,11843,12029,12841,4718,11949,12034,3962,10904,4221,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497,6499,6505,6510,6544,6545,6548,6549,6550,6552,6553,6554,6555,6564,6597,6598,6607,6629,6630,6652,6654,6666,6667,6673,6703,6705,6720,6758,6761,6762,6820,6843,6888,6903,6910,6919,6920,6921,6922,6941,6942,6949,6961,6964,6966,6967,6968,6970,6972,6986,6997,6998,6999,7013,7070,7081,7083,7087,7106,7107,7142,7149,7154,7185,7215,7272,7301,7359,7380,7390,7394,7454,7464,7524,7526,7540,7549,7550,7551,7569,7573,7575,7620,7630,7633,7648,7695,7697,7700,7743,7744,7762,7832,7850,7875,7898,7910,7924,7935,7946,7947,7973,7975,7977,7986,8025,8037,8062,8089,8122,8154,8188,8227,8243,8245,8261,8262,8330,8341,8408,8432,8451,8478,8517,8518,8536,8575,8577,8579,8586,8601,8605,8620,8643,8651,8653,8663,8668,8672,8673,8674,8675,8676,8677,8699,8713,8714,8732,8733,8738,8739,8740,8741,8742,8760,8761,8762,8773,8786,8789,8800,8805,8807,8809,8810,8811,8818,8824,8832,8835,8852,8853,8862,8863,8871,8890,8903,8907,8928,8950,8951,8954,8955,8961,8971,8972,8995,9006,9016,9017,9018,9021,9044,9045,9056,9108,9118,9120,9136,9148,9149,9150,9161,9227,9258,9259,9260,9275,9292,9300,9328,9329,9400,9433,9439,9449,9450,9451,9461,9490,9506,9510,9514,9537,9538,9565,9630,9635,9638,9671,9672,9673,9697,9698,9714,9735,9741,9753,9778,9799,9808,9809,9810,9811,9827,9829,9834,9864,9865,9871,9872,9918,9919,9930,9931,9955,9974,9976,9977,9986,9991,10000,10025,10059,10061,10065,10115,10149,10159,10161,10165,10166,10168,10177,10178,10198,10203,10297,10384,10385,10386,10387,10449,10468,2,8,9,4746,4747,4765,4807,4808,4810,4833,4835,4836,4846,4891,4893,4941,5071,5072,5086,5110,5165,5166,5172,5173,5175,5177,5186,5189,5190,5198,5211,5212,5218,5239,5240,5261,5266,5267,5268,5269,5273,5281,5284,5292,5293,5294,5350,5355,5356,5361,5367,5397,5407,5412,5422,5440,5441,5448,5449,5451,5462,5480,5482,5483,5490,5497,5498,5510,5511,5512,5513,5515,5516,5521,5522,5523,5524,5554,5555,5556,5564,5565,5566,5567,5610,5615,5617,5653,5655,5656,5658,5659,5661,5662,5664,5673,5678,5679,5680,5682,5684,5685,5686,5687,5688,5689,5698,5708,5711,5722,5738,5739,5742,5753,5756,5757,5758,5785,5795,5811,5812,5821,5822,5824,5826,5831,5866,5871,5873,5932,5967,5968,5973,5979,5982,5983,5984,5985,6005,6010,6011,6020,6042,6075,6094,6095,6099,6100,6102,6125,6129,6132,6133,6134,6150,6165,6166,6198,6199,6203,6224,6227,6230,6252,6253,6281,6284,6293,6303,6311,6315,6323,6324,6325,6326,6358,6376,6428,6465,6467,6468,6490,6491,6498,6502,6503,6506,6521,6536,6557,6558,6565,6575,6590,6610,6617,6619,6634,6635,6638,6639,6641,6643,6644,6645,6647,6649,6653,6659,6660,6662,6663,6669,6671,6713,6719,6734,6737,6738,6739,6776,6781,6783,6788,6789,6799,6802,6815,6838,6839,6841,6842,6854,6860,6880,6883,6904,6923,6932,6935,6936,6937,6943,6957,6976,6978,6980,6982,6987,6993,6995,7010,7015,7016,7055,7056,7057,7072,7073,7075,7076,7097,7098,7113,7140,7162,7174,7176,7178,7180,7181,7212,7213,7214,7218,7219,7226,7227,7229,7231,7253,7263,7264,7275,7285,7325,7336,7342,7349,7360,7365,7367,7374,7383,7384,7398,7415,7436,7438,7457,7510,7511,7512,7514,7516,7520,7525,7588,7616,7631,7647,7678,7681,7688,7703,7727,7745,7748,7749,7759,7779,7781,7783,7785,7786,7787,7788,7789,7814,7840,7841,7874,7876,7877,7878,7883,7904,7921,7926,7932,7934,7942,7954,7955,7957,7978,7984,8006,8075,8076,8077,8125,8132,8133,8156,8157,8174,8175,8176,8234,8235,8264,8294,8304,8318,8333,8364,8368,8374,8386,8404,8409,8431,8476,8505,8519,8539,8542,8568,8595,8654,8655,8658,8659,8730,8764,8765,8766,8767,8795,8827,8856,8864,8865,8906,8927,8973,8989,9035,9038,9053,9060,9105,9144,9145,9163,9164,9178,9297,9302,9306,9326,9337,9362,9364,9367,9373,9375,9376,9386,9387,9407,9415,9425,9432,9475,9494,9515,9550,9551,9557,9596,9622,9627,9667,9677,9680,9681,9683,9684,9696,9719,9734,9743,9744,9746,9748,9777,9899,9900,9950,9951,9992,10030,10140,10207,10358,10376,10381,3,2846,2854,2855,2856,2857,2858,2859,2860,2864,2871,2872,2874,2875,2876,2893,2894,2895,2900,2903,2904,2905,2907,2908,2911,2912,2913,2915,2916,2920,2938,2939,2940,2941,2942,2945,2946,2947,2948,2949,2957,2958,2959,2967,2968,2978,2979,2981,2982,2994,2995,3001,3003,3005,3008,3009,3011,3012,3013,3017,3020,3021,3022,3032,3033,3034,3035,3036,3041,3044,3045,3048,3049,3050,3076,3078,3080,3081,3083,3084,3088,3089,3092,5349,5439,5479,5626,5627,5628,5709,5810,5840,5874,5890,5892,5898,5960,5961,5962,5963,5971,6007,6145,6187,6197,6221,6256,6294,6444,6449,6488,6489,6511,6514,6516,6523,6524,6525,6526,6527,6528,6529,6530,6612,6683,6684,6775,6810,6811,6851,6852,6994,7009,7067,7084,7085,7092,7114,7138,7146,7148,7195,7216,7217,7235,7236,7274,7319,7320,7382,7422,7491,7492,7493,7494,7509,7541,7593,7594,7602,7607,7608,7619,7650,7651,7652,7653,7796,7798,7799,7800,7806,7807,8012,8015,8021,8022,8031,8034,8072,8073,8152,8193,8247,8269,8270,8349,8444,8515,8516,8520,8554,8591,8616,8617,8686,8706,8707,8708,8709,8860])).
% 203.03/202.86 cnf(13375,plain,
% 203.03/202.86 (P1(f318(f318(f320(x133751),f318(x133752,x133753)),f318(f301(x133754,x133751,x133752),f233(f927(x133754,a918)))))),
% 203.03/202.86 inference(rename_variables,[],[4112])).
% 203.03/202.86 cnf(13376,plain,
% 203.03/202.86 (P25(x133761,x133761,f7(x133761),x133762)),
% 203.03/202.86 inference(rename_variables,[],[3753])).
% 203.03/202.86 cnf(13380,plain,
% 203.03/202.86 (~P1(f318(f318(f320(x133801),x133802),f179(f927(x133801,a918))))),
% 203.03/202.86 inference(rename_variables,[],[4706])).
% 203.03/202.86 cnf(13384,plain,
% 203.03/202.86 (P1(f318(f318(f225(f927(x133841,a918)),x133842),f233(f927(x133841,a918))))),
% 203.03/202.86 inference(rename_variables,[],[3895])).
% 203.03/202.86 cnf(13385,plain,
% 203.03/202.86 (P25(x133851,x133851,f7(x133851),x133852)),
% 203.03/202.86 inference(rename_variables,[],[3753])).
% 203.03/202.86 cnf(13389,plain,
% 203.03/202.86 (P1(f318(f318(f225(f927(x133891,a918)),x133892),f233(f927(x133891,a918))))),
% 203.03/202.86 inference(rename_variables,[],[3895])).
% 203.03/202.86 cnf(13390,plain,
% 203.03/202.86 (P25(x133901,x133901,f7(x133901),x133902)),
% 203.03/202.86 inference(rename_variables,[],[3753])).
% 203.03/202.86 cnf(13394,plain,
% 203.03/202.86 (P25(x133941,x133941,f7(x133941),x133942)),
% 203.03/202.86 inference(rename_variables,[],[3753])).
% 203.03/202.86 cnf(13397,plain,
% 203.03/202.86 (~P1(f318(f318(f226(f927(x133971,a918)),x133972),f179(f927(x133971,a918))))),
% 203.03/202.86 inference(rename_variables,[],[4714])).
% 203.03/202.86 cnf(13400,plain,
% 203.03/202.86 (P25(x134001,x134001,f7(x134001),x134002)),
% 203.03/202.86 inference(rename_variables,[],[3753])).
% 203.03/202.86 cnf(13403,plain,
% 203.03/202.86 (P25(x134031,x134031,f7(x134031),x134032)),
% 203.03/202.86 inference(rename_variables,[],[3753])).
% 203.03/202.86 cnf(13406,plain,
% 203.03/202.86 (P1(f318(f318(f320(x134061),f318(x134062,x134063)),f318(f301(x134064,x134061,x134062),f233(f927(x134064,a918)))))),
% 203.03/202.86 inference(rename_variables,[],[4112])).
% 203.03/202.86 cnf(13412,plain,
% 203.03/202.86 (P1(f318(f318(f225(f927(x134121,a918)),x134122),f233(f927(x134121,a918))))),
% 203.03/202.86 inference(rename_variables,[],[3895])).
% 203.03/202.86 cnf(13417,plain,
% 203.03/202.86 (P1(f318(f318(f225(f927(x134171,a918)),f179(f927(x134171,a918))),x134172))),
% 203.03/202.86 inference(rename_variables,[],[3961])).
% 203.03/202.86 cnf(13421,plain,
% 203.03/202.86 (E(f318(f275(x134211,x134211),f254(x134211,x134212)),x134212)),
% 203.03/202.86 inference(rename_variables,[],[3479])).
% 203.03/202.86 cnf(13425,plain,
% 203.03/202.86 (~P1(f318(f318(f320(x134251),x134252),f179(f927(x134251,a918))))),
% 203.03/202.86 inference(rename_variables,[],[4706])).
% 203.03/202.86 cnf(13430,plain,
% 203.03/202.86 (P25(x134301,x134301,f7(x134301),x134302)),
% 203.03/202.86 inference(rename_variables,[],[3753])).
% 203.03/202.86 cnf(13433,plain,
% 203.03/202.86 (P1(f318(f318(f225(f927(x134331,a918)),x134332),f233(f927(x134331,a918))))),
% 203.03/202.86 inference(rename_variables,[],[3895])).
% 203.03/202.86 cnf(13441,plain,
% 203.03/202.86 (E(f318(f318(f18(x134411,x134412),x134413),x134414),x134413)),
% 203.03/202.86 inference(rename_variables,[],[3509])).
% 203.03/202.86 cnf(13444,plain,
% 203.03/202.86 (~P1(f318(f318(f320(x134441),x134442),f179(f927(x134441,a918))))),
% 203.03/202.86 inference(rename_variables,[],[4706])).
% 203.03/202.86 cnf(13447,plain,
% 203.03/202.86 (~P1(f318(f318(f320(x134471),x134472),f179(f927(x134471,a918))))),
% 203.03/202.86 inference(rename_variables,[],[4706])).
% 203.03/202.86 cnf(13450,plain,
% 203.03/202.86 (P1(f318(f318(f225(f927(x134501,a918)),x134502),f233(f927(x134501,a918))))),
% 203.03/202.87 inference(rename_variables,[],[3895])).
% 203.03/202.87 cnf(13451,plain,
% 203.03/202.87 (P25(x134511,x134511,f7(x134511),x134512)),
% 203.03/202.87 inference(rename_variables,[],[3753])).
% 203.03/202.87 cnf(13460,plain,
% 203.03/202.87 (~E(f318(a103,x134601),x134601)),
% 203.03/202.87 inference(rename_variables,[],[4661])).
% 203.03/202.87 cnf(13463,plain,
% 203.03/202.87 (P1(f318(f318(f226(a920),x134631),f318(a103,x134631)))),
% 203.03/202.87 inference(rename_variables,[],[3586])).
% 203.03/202.87 cnf(13464,plain,
% 203.03/202.87 (~E(f318(a103,x134641),x134641)),
% 203.03/202.87 inference(rename_variables,[],[4661])).
% 203.03/202.87 cnf(13467,plain,
% 203.03/202.87 (P1(f318(f318(f226(a920),x134671),f318(a103,f318(f318(f73(a920),x134672),x134671))))),
% 203.03/202.87 inference(rename_variables,[],[3962])).
% 203.03/202.87 cnf(13468,plain,
% 203.03/202.87 (P1(f318(f318(f226(a920),x134681),f318(a103,x134681)))),
% 203.03/202.87 inference(rename_variables,[],[3586])).
% 203.03/202.87 cnf(13470,plain,
% 203.03/202.87 (~E(f318(f318(f74(a920),f318(a103,f2(a920))),f110(x134701)),f318(f318(f74(a920),f318(a103,f2(a920))),f117(x134701,x134702,x134703)))),
% 203.03/202.87 inference(scs_inference,[],[3562,4170,12791,12816,12955,12957,12959,3753,11406,12459,12564,12567,12659,12701,12705,12713,12785,12902,12904,13376,13385,13390,13394,13400,13403,13430,3762,12531,13028,13030,3769,3488,12924,12926,12928,3489,12988,3455,12870,4681,4682,12048,4443,12994,3492,13024,3330,3386,12947,3387,13001,3388,3389,3390,12741,12983,4680,3811,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,10870,11183,11376,11379,11398,11401,11594,11695,11702,11716,11762,11765,11787,11804,11819,11882,11939,11955,12242,12267,12283,12312,12318,12412,12527,12694,12755,12898,13191,13460,13464,3574,3537,13007,3721,12214,3439,4667,10716,10816,11286,11386,4673,3127,3128,3130,3131,3134,3135,3137,3138,3139,3141,3145,3146,3150,3151,3153,3154,3155,3156,3165,3166,3171,3175,3176,3177,3188,3190,3199,3202,3210,3213,3219,3231,3237,3243,3244,3245,3257,3265,3270,3271,3273,3274,3277,3278,3282,3283,3289,3299,3309,3409,3410,4658,3313,3385,4659,3851,4076,11986,3363,11692,3500,3476,3479,10556,10559,10652,10655,10973,11707,11710,11830,11869,11874,11981,12433,12635,12848,12900,12914,12916,12918,12930,12937,12945,13005,13011,13013,13246,3450,12726,12730,12734,3456,3465,3971,4272,3433,13308,3585,12788,12873,3352,3353,3715,4062,11738,3573,3416,3349,3376,3830,3372,3571,4179,4070,3893,3359,3340,3983,3396,3575,11133,11260,12528,12745,3449,4144,4675,10547,10713,11591,11790,12686,12727,12731,4678,12698,3509,12067,12070,13342,4102,4704,11312,11411,11647,11650,3484,3912,3506,3622,3836,4684,12683,3589,12953,12972,12974,3413,3414,10617,10949,4693,3674,3404,3331,3435,11728,4286,12716,12860,4146,11332,11463,11522,12670,12676,12805,12808,12838,4722,11235,11476,11585,11611,11655,11661,12614,4723,11365,11479,11588,4724,11482,11533,4725,11540,4726,3434,3713,12570,12611,12697,3877,3662,12682,4557,4558,3734,4672,11721,3855,3812,3857,4026,3782,13229,13233,13237,13241,13251,4072,12561,3699,3954,3586,10636,10755,10836,10909,10912,10952,11052,11302,11916,12238,12305,12383,12424,12499,12502,12842,13103,13142,13145,13190,13208,13463,3964,11972,3502,3598,11803,3775,4699,10524,10527,10553,10676,10854,11060,11075,11193,11633,11731,11915,12133,12138,12359,12362,12445,12617,12720,13049,13068,13071,13095,13146,13324,13329,13352,4710,11846,11877,11912,11919,11952,13155,13159,3951,3722,3723,13074,13077,13080,13083,13113,4094,3546,3547,3521,4696,3412,4669,3903,4208,3706,4711,4279,11608,3835,3557,12088,12091,12535,12639,12819,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,10859,11045,11289,11502,11797,11891,12037,12151,12154,4248,4207,12585,4155,11130,12231,12418,12595,4202,11335,12456,12534,12594,12638,3878,11923,12241,12390,12464,12518,4236,3895,10679,10776,11338,11416,11495,11559,12411,12415,12480,12750,12815,12835,12845,13315,13384,13389,13412,13433,4714,11078,11487,12598,13397,3518,10645,10742,10821,10895,10959,11034,11081,11084,11115,11141,11177,11215,11254,12040,12085,12211,12266,12286,12289,12292,12295,12473,12487,12490,12493,12496,12578,12642,12761,12811,13096,13119,13178,13200,13211,13216,13219,13223,13226,13259,13270,13335,13363,13366,3519,10727,10964,11055,11180,11822,12116,12119,12130,12217,12228,12247,12252,12298,12321,12338,13110,13263,13283,13325,13330,13353,3520,12505,12508,3594,12448,13175,13230,13234,13238,13242,13252,13256,4695,10564,10593,11099,11144,11153,12000,12021,12185,12188,12191,12194,12282,12301,12304,12317,12371,12374,12377,12380,12546,12549,12645,12648,12754,12794,12882,3669,10824,10915,11188,11232,11466,11469,11548,11630,11807,12693,12885,13307,4706,11108,11118,11224,11245,11248,11315,11318,11329,11432,11442,11454,11490,11507,11516,11556,11597,11602,11605,11624,11627,11664,11669,11672,11675,11678,11922,12064,12097,12365,12368,12402,12449,12476,12623,12667,12673,12773,12776,12798,12859,12865,12876,12892,13174,13194,13197,13294,13380,13425,13444,3579,10946,10976,10979,10988,10991,11577,12795,12812,13156,13160,13163,13166,3618,3611,4030,3969,10596,11975,12003,13137,4703,10544,10934,10937,11435,11451,11938,11991,12025,12148,12173,12176,12179,12182,12444,13369,3539,10982,11138,11208,12004,12147,12343,12554,12579,3993,12094,13090,4327,3728,4700,4004,4038,4687,4689,4691,3495,3499,4690,4688,4450,3825,11968,12051,4421,11829,4716,10845,10848,4721,11321,11324,11510,11621,11638,11684,4112,11681,12024,12028,12704,12712,12804,13311,13375,13406,3959,11251,11257,11275,12263,12395,12479,12769,12801,3809,11391,11513,12511,12620,12630,12709,12764,12772,12889,4284,3961,10985,11354,11519,11553,11564,12708,12758,3670,3776,10898,10901,10994,11164,3777,3778,4719,11969,4715,13058,4720,10735,10851,12573,12582,12626,12829,4382,11121,12591,12606,12629,4290,3992,12895,3937,3938,4717,10569,10572,10940,10943,11843,12029,12841,4718,11949,12034,3962,10904,11170,4221,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497,6499,6505,6510,6544,6545,6548,6549,6550,6552,6553,6554,6555,6564,6597,6598,6607,6629,6630,6652,6654,6666,6667,6673,6703,6705,6720,6758,6761,6762,6820,6843,6888,6903,6910,6919,6920,6921,6922,6941,6942,6949,6961,6964,6966,6967,6968,6970,6972,6986,6997,6998,6999,7013,7070,7081,7083,7087,7106,7107,7142,7149,7154,7185,7215,7272,7301,7359,7380,7390,7394,7454,7464,7524,7526,7540,7549,7550,7551,7569,7573,7575,7620,7630,7633,7648,7695,7697,7700,7743,7744,7762,7832,7850,7875,7898,7910,7924,7935,7946,7947,7973,7975,7977,7986,8025,8037,8062,8089,8122,8154,8188,8227,8243,8245,8261,8262,8330,8341,8408,8432,8451,8478,8517,8518,8536,8575,8577,8579,8586,8601,8605,8620,8643,8651,8653,8663,8668,8672,8673,8674,8675,8676,8677,8699,8713,8714,8732,8733,8738,8739,8740,8741,8742,8760,8761,8762,8773,8786,8789,8800,8805,8807,8809,8810,8811,8818,8824,8832,8835,8852,8853,8862,8863,8871,8890,8903,8907,8928,8950,8951,8954,8955,8961,8971,8972,8995,9006,9016,9017,9018,9021,9044,9045,9056,9108,9118,9120,9136,9148,9149,9150,9161,9227,9258,9259,9260,9275,9292,9300,9328,9329,9400,9433,9439,9449,9450,9451,9461,9490,9506,9510,9514,9537,9538,9565,9630,9635,9638,9671,9672,9673,9697,9698,9714,9735,9741,9753,9778,9799,9808,9809,9810,9811,9827,9829,9834,9864,9865,9871,9872,9918,9919,9930,9931,9955,9974,9976,9977,9986,9991,10000,10025,10059,10061,10065,10115,10149,10159,10161,10165,10166,10168,10177,10178,10198,10203,10297,10384,10385,10386,10387,10449,10468,2,8,9,4746,4747,4765,4807,4808,4810,4833,4835,4836,4846,4891,4893,4941,5071,5072,5086,5110,5165,5166,5172,5173,5175,5177,5186,5189,5190,5198,5211,5212,5218,5239,5240,5261,5266,5267,5268,5269,5273,5281,5284,5292,5293,5294,5350,5355,5356,5361,5367,5397,5407,5412,5422,5440,5441,5448,5449,5451,5462,5480,5482,5483,5490,5497,5498,5510,5511,5512,5513,5515,5516,5521,5522,5523,5524,5554,5555,5556,5564,5565,5566,5567,5610,5615,5617,5653,5655,5656,5658,5659,5661,5662,5664,5673,5678,5679,5680,5682,5684,5685,5686,5687,5688,5689,5698,5708,5711,5722,5738,5739,5742,5753,5756,5757,5758,5785,5795,5811,5812,5821,5822,5824,5826,5831,5866,5871,5873,5932,5967,5968,5973,5979,5982,5983,5984,5985,6005,6010,6011,6020,6042,6075,6094,6095,6099,6100,6102,6125,6129,6132,6133,6134,6150,6165,6166,6198,6199,6203,6224,6227,6230,6252,6253,6281,6284,6293,6303,6311,6315,6323,6324,6325,6326,6358,6376,6428,6465,6467,6468,6490,6491,6498,6502,6503,6506,6521,6536,6557,6558,6565,6575,6590,6610,6617,6619,6634,6635,6638,6639,6641,6643,6644,6645,6647,6649,6653,6659,6660,6662,6663,6669,6671,6713,6719,6734,6737,6738,6739,6776,6781,6783,6788,6789,6799,6802,6815,6838,6839,6841,6842,6854,6860,6880,6883,6904,6923,6932,6935,6936,6937,6943,6957,6976,6978,6980,6982,6987,6993,6995,7010,7015,7016,7055,7056,7057,7072,7073,7075,7076,7097,7098,7113,7140,7162,7174,7176,7178,7180,7181,7212,7213,7214,7218,7219,7226,7227,7229,7231,7253,7263,7264,7275,7285,7325,7336,7342,7349,7360,7365,7367,7374,7383,7384,7398,7415,7436,7438,7457,7510,7511,7512,7514,7516,7520,7525,7588,7616,7631,7647,7678,7681,7688,7703,7727,7745,7748,7749,7759,7779,7781,7783,7785,7786,7787,7788,7789,7814,7840,7841,7874,7876,7877,7878,7883,7904,7921,7926,7932,7934,7942,7954,7955,7957,7978,7984,8006,8075,8076,8077,8125,8132,8133,8156,8157,8174,8175,8176,8234,8235,8264,8294,8304,8318,8333,8364,8368,8374,8386,8404,8409,8431,8476,8505,8519,8539,8542,8568,8595,8654,8655,8658,8659,8730,8764,8765,8766,8767,8795,8827,8856,8864,8865,8906,8927,8973,8989,9035,9038,9053,9060,9105,9144,9145,9163,9164,9178,9297,9302,9306,9326,9337,9362,9364,9367,9373,9375,9376,9386,9387,9407,9415,9425,9432,9475,9494,9515,9550,9551,9557,9596,9622,9627,9667,9677,9680,9681,9683,9684,9696,9719,9734,9743,9744,9746,9748,9777,9899,9900,9950,9951,9992,10030,10140,10207,10358,10376,10381,3,2846,2854,2855,2856,2857,2858,2859,2860,2864,2871,2872,2874,2875,2876,2893,2894,2895,2900,2903,2904,2905,2907,2908,2911,2912,2913,2915,2916,2920,2938,2939,2940,2941,2942,2945,2946,2947,2948,2949,2957,2958,2959,2967,2968,2978,2979,2981,2982,2994,2995,3001,3003,3005,3008,3009,3011,3012,3013,3017,3020,3021,3022,3032,3033,3034,3035,3036,3041,3044,3045,3048,3049,3050,3076,3078,3080,3081,3083,3084,3088,3089,3092,5349,5439,5479,5626,5627,5628,5709,5810,5840,5874,5890,5892,5898,5960,5961,5962,5963,5971,6007,6145,6187,6197,6221,6256,6294,6444,6449,6488,6489,6511,6514,6516,6523,6524,6525,6526,6527,6528,6529,6530,6612,6683,6684,6775,6810,6811,6851,6852,6994,7009,7067,7084,7085,7092,7114,7138,7146,7148,7195,7216,7217,7235,7236,7274,7319,7320,7382,7422,7491,7492,7493,7494,7509,7541,7593,7594,7602,7607,7608,7619,7650,7651,7652,7653,7796,7798,7799,7800,7806,7807,8012,8015,8021,8022,8031,8034,8072,8073,8152,8193,8247,8269,8270,8349,8444,8515,8516,8520,8554,8591,8616,8617,8686,8706,8707,8708,8709,8860,9098,9122,9123,9193,9207,9261,9262,9381,9383,9418,9444,9477,9520,9717,9841,9987,10176,10232,10234,10464,5291,6043,6595,6596,6686])).
% 203.03/202.87 cnf(13477,plain,
% 203.03/202.87 (P1(f318(f318(f225(a1),f2(a1)),f318(f91(a1),x134771)))),
% 203.03/202.87 inference(rename_variables,[],[3618])).
% 203.03/202.87 cnf(13484,plain,
% 203.03/202.87 (P1(f318(f318(f225(a920),f2(a920)),x134841))),
% 203.03/202.87 inference(rename_variables,[],[3539])).
% 203.03/202.87 cnf(13488,plain,
% 203.03/202.87 (~E(f318(a103,x134881),f2(a920))),
% 203.03/202.87 inference(rename_variables,[],[4667])).
% 203.03/202.87 cnf(13493,plain,
% 203.03/202.87 (~P1(f318(f318(f320(x134931),x134932),f179(f927(x134931,a918))))),
% 203.03/202.87 inference(rename_variables,[],[4706])).
% 203.03/202.87 cnf(13496,plain,
% 203.03/202.87 (P1(f318(f55(a920),f296(a920,x134961,x134962)))),
% 203.03/202.87 inference(rename_variables,[],[3723])).
% 203.03/202.87 cnf(13497,plain,
% 203.03/202.87 (E(f318(f318(f223(a920),f318(a103,x134971)),f318(a103,x134972)),f318(a103,f318(f318(f223(a920),x134971),x134972)))),
% 203.03/202.87 inference(rename_variables,[],[3687])).
% 203.03/202.87 cnf(13500,plain,
% 203.03/202.87 (P1(f318(f55(a920),f296(a920,x135001,x135002)))),
% 203.03/202.87 inference(rename_variables,[],[3723])).
% 203.03/202.87 cnf(13501,plain,
% 203.03/202.87 (E(f318(f318(f224(a920),f318(a103,x135011)),f318(a103,x135012)),f318(a103,f318(f318(f224(a920),x135011),x135012)))),
% 203.03/202.87 inference(rename_variables,[],[3688])).
% 203.03/202.87 cnf(13504,plain,
% 203.03/202.87 (P1(f318(f55(a920),f296(a920,x135041,x135042)))),
% 203.03/202.87 inference(rename_variables,[],[3723])).
% 203.03/202.87 cnf(13513,plain,
% 203.03/202.87 (~P1(f318(f318(f320(x135131),x135132),f179(f927(x135131,a918))))),
% 203.03/202.87 inference(rename_variables,[],[4706])).
% 203.03/202.87 cnf(13514,plain,
% 203.03/202.87 (E(f318(f318(f18(x135141,x135142),x135143),x135144),x135143)),
% 203.03/202.87 inference(rename_variables,[],[3509])).
% 203.03/202.87 cnf(13517,plain,
% 203.03/202.87 (P1(f318(f318(f225(f927(x135171,a918)),f318(f163(x135171),f318(f127(x135171,x135172),x135173))),f318(f163(x135171),x135173)))),
% 203.03/202.87 inference(rename_variables,[],[4155])).
% 203.03/202.87 cnf(13518,plain,
% 203.03/202.87 (E(f318(f318(f18(x135181,x135182),x135183),x135184),x135183)),
% 203.03/202.87 inference(rename_variables,[],[3509])).
% 203.03/202.87 cnf(13521,plain,
% 203.03/202.87 (P1(f318(f318(f225(f927(x135211,a918)),f318(f163(x135211),f318(f318(f166(x135211),x135212),x135213))),f318(f163(x135211),x135213)))),
% 203.03/202.87 inference(rename_variables,[],[4197])).
% 203.03/202.87 cnf(13522,plain,
% 203.03/202.87 (E(f318(f318(f18(x135221,x135222),x135223),x135224),x135223)),
% 203.03/202.87 inference(rename_variables,[],[3509])).
% 203.03/202.87 cnf(13526,plain,
% 203.03/202.87 (E(f318(f318(f18(x135261,x135262),x135263),x135264),x135263)),
% 203.03/202.87 inference(rename_variables,[],[3509])).
% 203.03/202.87 cnf(13539,plain,
% 203.03/202.87 (P1(f318(f318(f225(a1),f2(a1)),f318(f91(a1),x135391)))),
% 203.03/202.87 inference(rename_variables,[],[3618])).
% 203.03/202.87 cnf(13544,plain,
% 203.03/202.87 (P25(x135441,x135441,f7(x135441),x135442)),
% 203.03/202.87 inference(rename_variables,[],[3753])).
% 203.03/202.87 cnf(13547,plain,
% 203.03/202.87 (~P1(f318(f318(f320(x135471),x135472),f179(f927(x135471,a918))))),
% 203.03/202.87 inference(rename_variables,[],[4706])).
% 203.03/202.87 cnf(13548,plain,
% 203.03/202.87 (E(f318(f275(x135481,x135481),f254(x135481,x135482)),x135482)),
% 203.03/202.87 inference(rename_variables,[],[3479])).
% 203.03/202.87 cnf(13549,plain,
% 203.03/202.87 (P25(x135491,x135491,f7(x135491),x135492)),
% 203.03/202.87 inference(rename_variables,[],[3753])).
% 203.03/202.87 cnf(13553,plain,
% 203.03/202.87 (E(f318(f275(x135531,x135531),f254(x135531,x135532)),x135532)),
% 203.03/202.87 inference(rename_variables,[],[3479])).
% 203.03/202.87 cnf(13558,plain,
% 203.03/202.87 (P1(f318(f318(f226(f927(a1,a918)),f294(a1,f71(a1),f2(a1))),f294(a1,f2(a1),f71(a1))))),
% 203.03/202.87 inference(scs_inference,[],[3562,4170,12791,12816,12955,12957,12959,3753,11406,12459,12564,12567,12659,12701,12705,12713,12785,12902,12904,13376,13385,13390,13394,13400,13403,13430,13451,13544,13549,3762,12531,13028,13030,3769,3488,12924,12926,12928,3489,12988,3455,12870,4681,4682,12048,4443,12994,3492,13024,3330,3386,12947,3387,13001,3388,3389,3390,12741,12983,4680,3811,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,10870,11183,11376,11379,11398,11401,11594,11695,11702,11716,11762,11765,11787,11804,11819,11882,11939,11955,12242,12267,12283,12312,12318,12412,12527,12694,12755,12898,13191,13460,13464,3574,3537,13007,3721,12214,3439,4667,10716,10816,11286,11386,13120,4673,3127,3128,3130,3131,3134,3135,3137,3138,3139,3141,3145,3146,3150,3151,3153,3154,3155,3156,3165,3166,3171,3175,3176,3177,3180,3188,3190,3199,3202,3210,3213,3219,3231,3237,3243,3244,3245,3257,3265,3266,3270,3271,3273,3274,3277,3278,3282,3283,3289,3299,3309,3409,3410,4658,3313,3385,4659,3851,4076,11986,3363,11692,3500,3476,3479,10556,10559,10652,10655,10973,11707,11710,11830,11869,11874,11981,12433,12635,12848,12900,12914,12916,12918,12930,12937,12945,13005,13011,13013,13246,13421,13548,3450,12726,12730,12734,3456,3465,3971,4272,3433,13308,3585,12788,12873,3352,3353,3715,4062,11738,3573,3416,3349,3376,3830,3372,3571,4179,4070,3893,3359,3340,3983,3396,3575,11133,11260,12528,12745,3449,4144,4675,10547,10713,11591,11790,12686,12727,12731,4678,12698,3509,12067,12070,13342,13441,13514,13518,13522,13526,4102,4704,11312,11411,11647,11650,3484,3912,3506,3622,3836,3614,4684,12683,3589,12953,12972,12974,3413,3414,10617,10949,4693,3674,3404,3331,3435,11728,4286,12716,12860,4146,11332,11463,11522,12670,12676,12805,12808,12838,4722,11235,11476,11585,11611,11655,11661,12614,4723,11365,11479,11588,4724,11482,11533,4725,11540,4726,3434,3713,12570,12611,12697,3877,3662,12682,4557,4558,3734,4672,11721,3855,3812,3857,4026,3782,13229,13233,13237,13241,13251,4072,12561,3699,3954,3586,10636,10755,10836,10909,10912,10952,11052,11302,11916,12238,12305,12383,12424,12499,12502,12842,13103,13142,13145,13190,13208,13463,3964,11972,3502,3598,11803,3775,4699,10524,10527,10553,10676,10854,11060,11075,11193,11633,11731,11915,12133,12138,12359,12362,12445,12617,12720,13049,13068,13071,13095,13146,13324,13329,13352,4710,11846,11877,11912,11919,11952,13155,13159,3951,3722,3723,13074,13077,13080,13083,13113,13116,13496,13500,13504,4094,3687,13497,3688,13501,3546,3547,3521,4696,3412,4669,3903,4208,3706,4711,4279,11608,3835,3557,12088,12091,12535,12639,12819,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,10859,11045,11289,11502,11797,11891,12037,12151,12154,4248,4207,12585,4155,11130,12231,12418,12595,12744,13517,4197,13521,4202,11335,12456,12534,12594,12638,13345,3878,11923,12241,12390,12464,12518,4236,3895,10679,10776,11338,11416,11495,11559,12411,12415,12480,12750,12815,12835,12845,13315,13384,13389,13412,13433,13450,4714,11078,11487,12598,13397,3518,10645,10742,10821,10895,10959,11034,11081,11084,11115,11141,11177,11215,11254,12040,12085,12211,12266,12286,12289,12292,12295,12473,12487,12490,12493,12496,12578,12642,12761,12811,13096,13119,13178,13200,13211,13216,13219,13223,13226,13259,13270,13335,13363,13366,3519,10727,10964,11055,11180,11822,12116,12119,12130,12217,12228,12247,12252,12298,12321,12338,13110,13263,13283,13325,13330,13353,3520,12505,12508,3594,12448,13175,13230,13234,13238,13242,13252,13256,4695,10564,10593,11099,11144,11153,12000,12021,12185,12188,12191,12194,12282,12301,12304,12317,12371,12374,12377,12380,12546,12549,12645,12648,12754,12794,12882,3669,10824,10915,11188,11232,11466,11469,11548,11630,11807,12693,12885,13307,4706,11108,11118,11224,11245,11248,11315,11318,11329,11432,11442,11454,11490,11507,11516,11556,11597,11602,11605,11624,11627,11664,11669,11672,11675,11678,11922,12064,12097,12365,12368,12402,12449,12476,12623,12667,12673,12773,12776,12798,12859,12865,12876,12892,13174,13194,13197,13294,13380,13425,13444,13447,13493,13513,13547,3579,10946,10976,10979,10988,10991,11577,12795,12812,13156,13160,13163,13166,3618,13477,3611,4030,3969,10596,11975,12003,13137,4703,10544,10934,10937,11435,11451,11938,11991,12025,12148,12173,12176,12179,12182,12444,13369,3539,10982,11138,11208,12004,12147,12343,12554,12579,13187,3993,12094,13090,4327,3728,4700,4004,4038,4687,4689,4691,3495,3499,4690,3497,4688,4450,4494,3825,11968,12051,4421,11829,4716,10845,10848,4721,11321,11324,11510,11621,11638,11684,4112,11681,12024,12028,12704,12712,12804,13311,13375,13406,3959,11251,11257,11275,12263,12395,12479,12769,12801,3809,11391,11513,12511,12620,12630,12709,12764,12772,12889,13318,4284,3961,10985,11354,11519,11553,11564,12708,12758,13417,3670,3776,10898,10901,10994,11164,3777,3778,4719,11969,4715,13058,4720,10735,10851,12573,12582,12626,12829,4382,11121,12591,12606,12629,4290,3992,12895,3937,3938,4717,10569,10572,10940,10943,11843,12029,12841,4718,11949,12034,3962,10904,11170,4221,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497,6499,6505,6510,6544,6545,6548,6549,6550,6552,6553,6554,6555,6564,6597,6598,6607,6629,6630,6652,6654,6666,6667,6673,6703,6705,6720,6758,6761,6762,6820,6843,6888,6903,6910,6919,6920,6921,6922,6941,6942,6949,6961,6964,6966,6967,6968,6970,6972,6986,6997,6998,6999,7013,7070,7081,7083,7087,7106,7107,7142,7149,7154,7185,7215,7272,7301,7359,7380,7390,7394,7454,7464,7524,7526,7540,7549,7550,7551,7569,7573,7575,7620,7630,7633,7648,7695,7697,7700,7743,7744,7762,7832,7850,7875,7898,7910,7924,7935,7946,7947,7973,7975,7977,7986,8025,8037,8062,8089,8122,8154,8188,8227,8243,8245,8261,8262,8330,8341,8408,8432,8451,8478,8517,8518,8536,8575,8577,8579,8586,8601,8605,8620,8643,8651,8653,8663,8668,8672,8673,8674,8675,8676,8677,8699,8713,8714,8732,8733,8738,8739,8740,8741,8742,8760,8761,8762,8773,8786,8789,8800,8805,8807,8809,8810,8811,8818,8824,8832,8835,8852,8853,8862,8863,8871,8890,8903,8907,8928,8950,8951,8954,8955,8961,8971,8972,8995,9006,9016,9017,9018,9021,9044,9045,9056,9108,9118,9120,9136,9148,9149,9150,9161,9227,9258,9259,9260,9275,9292,9300,9328,9329,9400,9433,9439,9449,9450,9451,9461,9490,9506,9510,9514,9537,9538,9565,9630,9635,9638,9671,9672,9673,9697,9698,9714,9735,9741,9753,9778,9799,9808,9809,9810,9811,9827,9829,9834,9864,9865,9871,9872,9918,9919,9930,9931,9955,9974,9976,9977,9986,9991,10000,10025,10059,10061,10065,10115,10149,10159,10161,10165,10166,10168,10177,10178,10198,10203,10297,10384,10385,10386,10387,10449,10468,2,8,9,4746,4747,4765,4807,4808,4810,4833,4835,4836,4846,4891,4893,4941,5071,5072,5086,5110,5165,5166,5172,5173,5175,5177,5186,5189,5190,5198,5211,5212,5218,5239,5240,5261,5266,5267,5268,5269,5273,5281,5284,5292,5293,5294,5350,5355,5356,5361,5367,5397,5407,5412,5422,5440,5441,5448,5449,5451,5462,5480,5482,5483,5490,5497,5498,5510,5511,5512,5513,5515,5516,5521,5522,5523,5524,5554,5555,5556,5564,5565,5566,5567,5610,5615,5617,5653,5655,5656,5658,5659,5661,5662,5664,5673,5678,5679,5680,5682,5684,5685,5686,5687,5688,5689,5698,5708,5711,5722,5738,5739,5742,5753,5756,5757,5758,5785,5795,5811,5812,5821,5822,5824,5826,5831,5866,5871,5873,5932,5967,5968,5973,5979,5982,5983,5984,5985,6005,6010,6011,6020,6042,6075,6094,6095,6099,6100,6102,6125,6129,6132,6133,6134,6150,6165,6166,6198,6199,6203,6224,6227,6230,6252,6253,6281,6284,6293,6303,6311,6315,6323,6324,6325,6326,6358,6376,6428,6465,6467,6468,6490,6491,6498,6502,6503,6506,6521,6536,6557,6558,6565,6575,6590,6610,6617,6619,6634,6635,6638,6639,6641,6643,6644,6645,6647,6649,6653,6659,6660,6662,6663,6669,6671,6713,6719,6734,6737,6738,6739,6776,6781,6783,6788,6789,6799,6802,6815,6838,6839,6841,6842,6854,6860,6880,6883,6904,6923,6932,6935,6936,6937,6943,6957,6976,6978,6980,6982,6987,6993,6995,7010,7015,7016,7055,7056,7057,7072,7073,7075,7076,7097,7098,7113,7140,7162,7174,7176,7178,7180,7181,7212,7213,7214,7218,7219,7226,7227,7229,7231,7253,7263,7264,7275,7285,7325,7336,7342,7349,7360,7365,7367,7374,7383,7384,7398,7415,7436,7438,7457,7510,7511,7512,7514,7516,7520,7525,7588,7616,7631,7647,7678,7681,7688,7703,7727,7745,7748,7749,7759,7779,7781,7783,7785,7786,7787,7788,7789,7814,7840,7841,7874,7876,7877,7878,7883,7904,7921,7926,7932,7934,7942,7954,7955,7957,7978,7984,8006,8075,8076,8077,8125,8132,8133,8156,8157,8174,8175,8176,8234,8235,8264,8294,8304,8318,8333,8364,8368,8374,8386,8404,8409,8431,8476,8505,8519,8539,8542,8568,8595,8654,8655,8658,8659,8730,8764,8765,8766,8767,8795,8827,8856,8864,8865,8906,8927,8973,8989,9035,9038,9053,9060,9105,9144,9145,9163,9164,9178,9297,9302,9306,9326,9337,9362,9364,9367,9373,9375,9376,9386,9387,9407,9415,9425,9432,9475,9494,9515,9550,9551,9557,9596,9622,9627,9667,9677,9680,9681,9683,9684,9696,9719,9734,9743,9744,9746,9748,9777,9899,9900,9950,9951,9992,10030,10140,10207,10358,10376,10381,3,2846,2854,2855,2856,2857,2858,2859,2860,2864,2871,2872,2874,2875,2876,2893,2894,2895,2900,2903,2904,2905,2907,2908,2911,2912,2913,2915,2916,2920,2938,2939,2940,2941,2942,2945,2946,2947,2948,2949,2957,2958,2959,2967,2968,2978,2979,2981,2982,2994,2995,3001,3003,3005,3008,3009,3011,3012,3013,3017,3020,3021,3022,3032,3033,3034,3035,3036,3041,3044,3045,3048,3049,3050,3076,3078,3080,3081,3083,3084,3088,3089,3092,5349,5439,5479,5626,5627,5628,5709,5810,5840,5874,5890,5892,5898,5960,5961,5962,5963,5971,6007,6145,6187,6197,6221,6256,6294,6444,6449,6488,6489,6511,6514,6516,6523,6524,6525,6526,6527,6528,6529,6530,6612,6683,6684,6775,6810,6811,6851,6852,6994,7009,7067,7084,7085,7092,7114,7138,7146,7148,7195,7216,7217,7235,7236,7274,7319,7320,7382,7422,7491,7492,7493,7494,7509,7541,7593,7594,7602,7607,7608,7619,7650,7651,7652,7653,7796,7798,7799,7800,7806,7807,8012,8015,8021,8022,8031,8034,8072,8073,8152,8193,8247,8269,8270,8349,8444,8515,8516,8520,8554,8591,8616,8617,8686,8706,8707,8708,8709,8860,9098,9122,9123,9193,9207,9261,9262,9381,9383,9418,9444,9477,9520,9717,9841,9987,10176,10232,10234,10464,5291,6043,6595,6596,6686,6706,6707,6763,6764,7137,7358,8781,9029,9218,9219,9288,9289,9472,9568,9569,9570,9571,9780,10053,10067,10435,10436,6668,8608])).
% 203.03/202.87 cnf(13560,plain,
% 203.03/202.87 (P1(f318(f318(f226(f927(a1,a918)),f294(a1,f2(a1),f2(a1))),f294(a1,f318(f72(a1),f318(f91(a1),f318(a103,x135601))),f2(a1))))),
% 203.03/202.87 inference(scs_inference,[],[3562,4170,12791,12816,12955,12957,12959,3753,11406,12459,12564,12567,12659,12701,12705,12713,12785,12902,12904,13376,13385,13390,13394,13400,13403,13430,13451,13544,13549,3762,12531,13028,13030,3769,3488,12924,12926,12928,3489,12988,3455,12870,4681,4682,12048,4443,12994,3492,13024,3330,3386,12947,3387,13001,3388,3389,3390,12741,12983,4680,3811,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,10870,11183,11376,11379,11398,11401,11594,11695,11702,11716,11762,11765,11787,11804,11819,11882,11939,11955,12242,12267,12283,12312,12318,12412,12527,12694,12755,12898,13191,13460,13464,3574,3537,13007,3721,12214,3439,4667,10716,10816,11286,11386,13120,4673,3127,3128,3130,3131,3134,3135,3137,3138,3139,3141,3145,3146,3150,3151,3153,3154,3155,3156,3165,3166,3171,3175,3176,3177,3180,3188,3190,3199,3202,3210,3213,3219,3231,3237,3243,3244,3245,3257,3265,3266,3270,3271,3273,3274,3277,3278,3282,3283,3289,3299,3309,3409,3410,4658,3313,3385,4659,3851,4076,11986,3363,11692,3500,3476,3479,10556,10559,10652,10655,10973,11707,11710,11830,11869,11874,11981,12433,12635,12848,12900,12914,12916,12918,12930,12937,12945,13005,13011,13013,13246,13421,13548,3450,12726,12730,12734,3456,3465,3971,4272,3433,13308,3585,12788,12873,3352,3353,3715,4062,11738,3573,3416,3349,3376,3830,3372,3571,4179,4070,3893,3359,3340,3983,3396,3575,11133,11260,12528,12745,3449,4144,4675,10547,10713,11591,11790,12686,12727,12731,4678,12698,3509,12067,12070,13342,13441,13514,13518,13522,13526,4102,4704,11312,11411,11647,11650,3484,3912,3506,3622,3836,3614,4684,12683,3589,12953,12972,12974,3413,3414,10617,10949,4693,3674,3404,3331,3435,11728,4286,12716,12860,4146,11332,11463,11522,12670,12676,12805,12808,12838,4722,11235,11476,11585,11611,11655,11661,12614,4723,11365,11479,11588,4724,11482,11533,4725,11540,4726,3434,3713,12570,12611,12697,3877,3662,12682,4557,4558,3734,4672,11721,3855,3812,3857,4026,3782,13229,13233,13237,13241,13251,4072,12561,3699,3954,3586,10636,10755,10836,10909,10912,10952,11052,11302,11916,12238,12305,12383,12424,12499,12502,12842,13103,13142,13145,13190,13208,13463,3964,11972,3502,3598,11803,3775,4699,10524,10527,10553,10676,10854,11060,11075,11193,11633,11731,11915,12133,12138,12359,12362,12445,12617,12720,13049,13068,13071,13095,13146,13324,13329,13352,4710,11846,11877,11912,11919,11952,13155,13159,3951,3722,3723,13074,13077,13080,13083,13113,13116,13496,13500,13504,4094,3687,13497,3688,13501,3546,3547,3521,4696,3412,4669,3903,4208,3706,4711,4279,11608,3835,3557,12088,12091,12535,12639,12819,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,10859,11045,11289,11502,11797,11891,12037,12151,12154,4248,4207,12585,4155,11130,12231,12418,12595,12744,13517,4197,13521,4202,11335,12456,12534,12594,12638,13345,3878,11923,12241,12390,12464,12518,4236,3895,10679,10776,11338,11416,11495,11559,12411,12415,12480,12750,12815,12835,12845,13315,13384,13389,13412,13433,13450,4714,11078,11487,12598,13397,3518,10645,10742,10821,10895,10959,11034,11081,11084,11115,11141,11177,11215,11254,12040,12085,12211,12266,12286,12289,12292,12295,12473,12487,12490,12493,12496,12578,12642,12761,12811,13096,13119,13178,13200,13211,13216,13219,13223,13226,13259,13270,13335,13363,13366,3519,10727,10964,11055,11180,11822,12116,12119,12130,12217,12228,12247,12252,12298,12321,12338,13110,13263,13283,13325,13330,13353,13358,3520,12505,12508,3594,12448,13175,13230,13234,13238,13242,13252,13256,4695,10564,10593,11099,11144,11153,12000,12021,12185,12188,12191,12194,12282,12301,12304,12317,12371,12374,12377,12380,12546,12549,12645,12648,12754,12794,12882,3669,10824,10915,11188,11232,11466,11469,11548,11630,11807,12693,12885,13307,4706,11108,11118,11224,11245,11248,11315,11318,11329,11432,11442,11454,11490,11507,11516,11556,11597,11602,11605,11624,11627,11664,11669,11672,11675,11678,11922,12064,12097,12365,12368,12402,12449,12476,12623,12667,12673,12773,12776,12798,12859,12865,12876,12892,13174,13194,13197,13294,13380,13425,13444,13447,13493,13513,13547,3579,10946,10976,10979,10988,10991,11577,12795,12812,13156,13160,13163,13166,3618,13477,3611,4030,3969,10596,11975,12003,13137,4703,10544,10934,10937,11435,11451,11938,11991,12025,12148,12173,12176,12179,12182,12444,13369,3539,10982,11138,11208,12004,12147,12343,12554,12579,13187,3993,12094,13090,4327,3728,4700,4004,4038,4687,4689,4691,3495,3499,4690,3497,4688,4450,4494,3825,11968,12051,4421,11829,4716,10845,10848,4721,11321,11324,11510,11621,11638,11684,4112,11681,12024,12028,12704,12712,12804,13311,13375,13406,3959,11251,11257,11275,12263,12395,12479,12769,12801,3809,11391,11513,12511,12620,12630,12709,12764,12772,12889,13318,4284,3961,10985,11354,11519,11553,11564,12708,12758,13417,3670,3776,10898,10901,10994,11164,3777,3778,4719,11969,4715,13058,4720,10735,10851,12573,12582,12626,12829,4382,11121,12591,12606,12629,4290,3992,12895,3937,3938,4717,10569,10572,10940,10943,11843,12029,12841,4718,11949,12034,3962,10904,11170,4221,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497,6499,6505,6510,6544,6545,6548,6549,6550,6552,6553,6554,6555,6564,6597,6598,6607,6629,6630,6652,6654,6666,6667,6673,6703,6705,6720,6758,6761,6762,6820,6843,6888,6903,6910,6919,6920,6921,6922,6941,6942,6949,6961,6964,6966,6967,6968,6970,6972,6986,6997,6998,6999,7013,7070,7081,7083,7087,7106,7107,7142,7149,7154,7185,7215,7272,7301,7359,7380,7390,7394,7454,7464,7524,7526,7540,7549,7550,7551,7569,7573,7575,7620,7630,7633,7648,7695,7697,7700,7743,7744,7762,7832,7850,7875,7898,7910,7924,7935,7946,7947,7973,7975,7977,7986,8025,8037,8062,8089,8122,8154,8188,8227,8243,8245,8261,8262,8330,8341,8408,8432,8451,8478,8517,8518,8536,8575,8577,8579,8586,8601,8605,8620,8643,8651,8653,8663,8668,8672,8673,8674,8675,8676,8677,8699,8713,8714,8732,8733,8738,8739,8740,8741,8742,8760,8761,8762,8773,8786,8789,8800,8805,8807,8809,8810,8811,8818,8824,8832,8835,8852,8853,8862,8863,8871,8890,8903,8907,8928,8950,8951,8954,8955,8961,8971,8972,8995,9006,9016,9017,9018,9021,9044,9045,9056,9108,9118,9120,9136,9148,9149,9150,9161,9227,9258,9259,9260,9275,9292,9300,9328,9329,9400,9433,9439,9449,9450,9451,9461,9490,9506,9510,9514,9537,9538,9565,9630,9635,9638,9671,9672,9673,9697,9698,9714,9735,9741,9753,9778,9799,9808,9809,9810,9811,9827,9829,9834,9864,9865,9871,9872,9918,9919,9930,9931,9955,9974,9976,9977,9986,9991,10000,10025,10059,10061,10065,10115,10149,10159,10161,10165,10166,10168,10177,10178,10198,10203,10297,10384,10385,10386,10387,10449,10468,2,8,9,4746,4747,4765,4807,4808,4810,4833,4835,4836,4846,4891,4893,4941,5071,5072,5086,5110,5165,5166,5172,5173,5175,5177,5186,5189,5190,5198,5211,5212,5218,5239,5240,5261,5266,5267,5268,5269,5273,5281,5284,5292,5293,5294,5350,5355,5356,5361,5367,5397,5407,5412,5422,5440,5441,5448,5449,5451,5462,5480,5482,5483,5490,5497,5498,5510,5511,5512,5513,5515,5516,5521,5522,5523,5524,5554,5555,5556,5564,5565,5566,5567,5610,5615,5617,5653,5655,5656,5658,5659,5661,5662,5664,5673,5678,5679,5680,5682,5684,5685,5686,5687,5688,5689,5698,5708,5711,5722,5738,5739,5742,5753,5756,5757,5758,5785,5795,5811,5812,5821,5822,5824,5826,5831,5866,5871,5873,5932,5967,5968,5973,5979,5982,5983,5984,5985,6005,6010,6011,6020,6042,6075,6094,6095,6099,6100,6102,6125,6129,6132,6133,6134,6150,6165,6166,6198,6199,6203,6224,6227,6230,6252,6253,6281,6284,6293,6303,6311,6315,6323,6324,6325,6326,6358,6376,6428,6465,6467,6468,6490,6491,6498,6502,6503,6506,6521,6536,6557,6558,6565,6575,6590,6610,6617,6619,6634,6635,6638,6639,6641,6643,6644,6645,6647,6649,6653,6659,6660,6662,6663,6669,6671,6713,6719,6734,6737,6738,6739,6776,6781,6783,6788,6789,6799,6802,6815,6838,6839,6841,6842,6854,6860,6880,6883,6904,6923,6932,6935,6936,6937,6943,6957,6976,6978,6980,6982,6987,6993,6995,7010,7015,7016,7055,7056,7057,7072,7073,7075,7076,7097,7098,7113,7140,7162,7174,7176,7178,7180,7181,7212,7213,7214,7218,7219,7226,7227,7229,7231,7253,7263,7264,7275,7285,7325,7336,7342,7349,7360,7365,7367,7374,7383,7384,7398,7415,7436,7438,7457,7510,7511,7512,7514,7516,7520,7525,7588,7616,7631,7647,7678,7681,7688,7703,7727,7745,7748,7749,7759,7779,7781,7783,7785,7786,7787,7788,7789,7814,7840,7841,7874,7876,7877,7878,7883,7904,7921,7926,7932,7934,7942,7954,7955,7957,7978,7984,8006,8075,8076,8077,8125,8132,8133,8156,8157,8174,8175,8176,8234,8235,8264,8294,8304,8318,8333,8364,8368,8374,8386,8404,8409,8431,8476,8505,8519,8539,8542,8568,8595,8654,8655,8658,8659,8730,8764,8765,8766,8767,8795,8827,8856,8864,8865,8906,8927,8973,8989,9035,9038,9053,9060,9105,9144,9145,9163,9164,9178,9297,9302,9306,9326,9337,9362,9364,9367,9373,9375,9376,9386,9387,9407,9415,9425,9432,9475,9494,9515,9550,9551,9557,9596,9622,9627,9667,9677,9680,9681,9683,9684,9696,9719,9734,9743,9744,9746,9748,9777,9899,9900,9950,9951,9992,10030,10140,10207,10358,10376,10381,3,2846,2854,2855,2856,2857,2858,2859,2860,2864,2871,2872,2874,2875,2876,2893,2894,2895,2900,2903,2904,2905,2907,2908,2911,2912,2913,2915,2916,2920,2938,2939,2940,2941,2942,2945,2946,2947,2948,2949,2957,2958,2959,2967,2968,2978,2979,2981,2982,2994,2995,3001,3003,3005,3008,3009,3011,3012,3013,3017,3020,3021,3022,3032,3033,3034,3035,3036,3041,3044,3045,3048,3049,3050,3076,3078,3080,3081,3083,3084,3088,3089,3092,5349,5439,5479,5626,5627,5628,5709,5810,5840,5874,5890,5892,5898,5960,5961,5962,5963,5971,6007,6145,6187,6197,6221,6256,6294,6444,6449,6488,6489,6511,6514,6516,6523,6524,6525,6526,6527,6528,6529,6530,6612,6683,6684,6775,6810,6811,6851,6852,6994,7009,7067,7084,7085,7092,7114,7138,7146,7148,7195,7216,7217,7235,7236,7274,7319,7320,7382,7422,7491,7492,7493,7494,7509,7541,7593,7594,7602,7607,7608,7619,7650,7651,7652,7653,7796,7798,7799,7800,7806,7807,8012,8015,8021,8022,8031,8034,8072,8073,8152,8193,8247,8269,8270,8349,8444,8515,8516,8520,8554,8591,8616,8617,8686,8706,8707,8708,8709,8860,9098,9122,9123,9193,9207,9261,9262,9381,9383,9418,9444,9477,9520,9717,9841,9987,10176,10232,10234,10464,5291,6043,6595,6596,6686,6706,6707,6763,6764,7137,7358,8781,9029,9218,9219,9288,9289,9472,9568,9569,9570,9571,9780,10053,10067,10435,10436,6668,8608,8609])).
% 203.03/202.87 cnf(13567,plain,
% 203.03/202.87 (P1(f318(f318(f225(a920),f2(a920)),x135671))),
% 203.03/202.87 inference(rename_variables,[],[3539])).
% 203.03/202.87 cnf(13568,plain,
% 203.03/202.87 (P1(f318(f318(f226(a920),f2(a920)),f318(a103,x135681)))),
% 203.03/202.87 inference(rename_variables,[],[3598])).
% 203.03/202.87 cnf(13569,plain,
% 203.03/202.87 (E(f318(f275(x135691,x135691),f254(x135691,x135692)),x135692)),
% 203.03/202.87 inference(rename_variables,[],[3479])).
% 203.03/202.87 cnf(13572,plain,
% 203.03/202.87 (P1(f318(f42(f318(f275(x135721,x135721),f254(x135721,f318(f318(f73(a920),f318(f318(f74(a920),f318(f242(a920,a920),f318(f318(f243(a920,a920),f2(a920)),x135722))),f318(a103,f318(f318(f73(a920),x135723),f318(f247(a920,a920),f318(f318(f243(a920,a920),f2(a920)),x135722)))))),f318(f247(a920,a920),f318(f318(f243(a920,a920),f2(a920)),x135722))))),f318(a103,f318(f318(f73(a920),x135723),f318(f247(a920,a920),f318(f318(f243(a920,a920),f2(a920)),x135722))))),f318(f318(f243(a920,a920),f2(a920)),x135722)))),
% 203.03/202.87 inference(scs_inference,[],[3562,4170,12791,12816,12955,12957,12959,3753,11406,12459,12564,12567,12659,12701,12705,12713,12785,12902,12904,13376,13385,13390,13394,13400,13403,13430,13451,13544,13549,3762,12531,13028,13030,3769,3488,12924,12926,12928,3489,12988,3455,12870,4681,4682,12048,4443,12994,3492,13024,3330,3386,12947,3387,13001,3388,3389,3390,12741,12983,4680,3811,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,10870,11183,11376,11379,11398,11401,11594,11695,11702,11716,11762,11765,11787,11804,11819,11882,11939,11955,12242,12267,12283,12312,12318,12412,12527,12694,12755,12898,13191,13460,13464,3574,3537,13007,3721,12214,3439,4667,10716,10816,11286,11386,13120,13488,4673,3127,3128,3130,3131,3134,3135,3137,3138,3139,3141,3145,3146,3150,3151,3153,3154,3155,3156,3165,3166,3171,3175,3176,3177,3180,3188,3190,3199,3202,3210,3213,3219,3231,3237,3243,3244,3245,3257,3265,3266,3270,3271,3273,3274,3277,3278,3282,3283,3289,3299,3309,3409,3410,4658,3313,3385,4659,3851,4076,11986,3363,11692,3500,3476,3479,10556,10559,10652,10655,10973,11707,11710,11830,11869,11874,11981,12433,12635,12848,12900,12914,12916,12918,12930,12937,12945,13005,13011,13013,13246,13421,13548,13553,13569,3450,12726,12730,12734,3456,3465,3971,4272,3433,13308,3585,12788,12873,3352,3353,3715,4062,11738,3573,3416,3349,3376,3830,3372,3571,4179,4070,3893,3359,3340,3983,3396,3575,11133,11260,12528,12745,3449,4144,4675,10547,10713,11591,11790,12686,12727,12731,4678,12698,3509,12067,12070,13342,13441,13514,13518,13522,13526,4102,4704,11312,11411,11647,11650,3484,3912,3506,3622,3836,3614,4684,12683,3589,12953,12972,12974,3413,3414,10617,10949,4693,3674,3404,3331,3435,11728,4286,12716,12860,4146,11332,11463,11522,12670,12676,12805,12808,12838,4722,11235,11476,11585,11611,11655,11661,12614,4723,11365,11479,11588,4724,11482,11533,4725,11540,4726,3434,3713,12570,12611,12697,3877,3662,12682,4557,4558,3697,3734,4672,11721,3855,3812,3857,4026,3782,13229,13233,13237,13241,13251,4072,12561,3699,3954,3586,10636,10755,10836,10909,10912,10952,11052,11302,11916,12238,12305,12383,12424,12499,12502,12842,13103,13142,13145,13190,13208,13463,13468,3964,11972,3502,3598,11803,12082,13568,3775,4699,10524,10527,10553,10676,10854,11060,11075,11193,11633,11731,11915,12133,12138,12359,12362,12445,12617,12720,13049,13068,13071,13095,13146,13324,13329,13352,4710,11846,11877,11912,11919,11952,13155,13159,3951,3722,3723,13074,13077,13080,13083,13113,13116,13496,13500,13504,4094,3687,13497,3688,13501,3546,3547,3521,4696,3412,4669,3903,4208,3706,4711,4279,11608,3835,3557,12088,12091,12535,12639,12819,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,10859,11045,11289,11502,11797,11891,12037,12151,12154,4248,4207,12585,4155,11130,12231,12418,12595,12744,13517,4197,13521,4202,11335,12456,12534,12594,12638,13345,3878,11923,12241,12390,12464,12518,4236,3895,10679,10776,11338,11416,11495,11559,12411,12415,12480,12750,12815,12835,12845,13315,13384,13389,13412,13433,13450,4714,11078,11487,12598,13397,3518,10645,10742,10821,10895,10959,11034,11081,11084,11115,11141,11177,11215,11254,12040,12085,12211,12266,12286,12289,12292,12295,12473,12487,12490,12493,12496,12578,12642,12761,12811,13096,13119,13178,13200,13211,13216,13219,13223,13226,13259,13270,13335,13363,13366,3519,10727,10964,11055,11180,11822,12116,12119,12130,12217,12228,12247,12252,12298,12321,12338,13110,13263,13283,13325,13330,13353,13358,3520,12505,12508,3594,12448,13175,13230,13234,13238,13242,13252,13256,4695,10564,10593,11099,11144,11153,12000,12021,12185,12188,12191,12194,12282,12301,12304,12317,12371,12374,12377,12380,12546,12549,12645,12648,12754,12794,12882,3669,10824,10915,11188,11232,11466,11469,11548,11630,11807,12693,12885,13307,4706,11108,11118,11224,11245,11248,11315,11318,11329,11432,11442,11454,11490,11507,11516,11556,11597,11602,11605,11624,11627,11664,11669,11672,11675,11678,11922,12064,12097,12365,12368,12402,12449,12476,12623,12667,12673,12773,12776,12798,12859,12865,12876,12892,13174,13194,13197,13294,13380,13425,13444,13447,13493,13513,13547,3579,10946,10976,10979,10988,10991,11577,12795,12812,13156,13160,13163,13166,3618,13477,3611,4030,3969,10596,11975,12003,13137,4703,10544,10934,10937,11435,11451,11938,11991,12025,12148,12173,12176,12179,12182,12444,13369,3539,10982,11138,11208,12004,12147,12343,12554,12579,13187,13484,13567,3993,12094,13090,4327,3728,4700,4004,4038,4687,4689,4691,3495,3499,4690,3497,4688,4450,4494,3825,11968,12051,4421,11829,4716,10845,10848,4721,11321,11324,11510,11621,11638,11684,4112,11681,12024,12028,12704,12712,12804,13311,13375,13406,3959,11251,11257,11275,12263,12395,12479,12769,12801,3809,11391,11513,12511,12620,12630,12709,12764,12772,12889,13318,4284,3961,10985,11354,11519,11553,11564,12708,12758,13417,3670,3776,10898,10901,10994,11164,3777,3778,4719,11969,4715,13058,4720,10735,10851,12573,12582,12626,12829,4382,11121,12591,12606,12629,4290,3992,12895,3937,3938,4717,10569,10572,10940,10943,11843,12029,12841,4718,11949,12034,3962,10904,11170,13467,4221,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497,6499,6505,6510,6544,6545,6548,6549,6550,6552,6553,6554,6555,6564,6597,6598,6607,6629,6630,6652,6654,6666,6667,6673,6703,6705,6720,6758,6761,6762,6820,6843,6888,6903,6910,6919,6920,6921,6922,6941,6942,6949,6961,6964,6966,6967,6968,6970,6972,6986,6997,6998,6999,7013,7070,7081,7083,7087,7106,7107,7142,7149,7154,7185,7215,7272,7301,7359,7380,7390,7394,7454,7464,7524,7526,7540,7549,7550,7551,7569,7573,7575,7620,7630,7633,7648,7695,7697,7700,7743,7744,7762,7832,7850,7875,7898,7910,7924,7935,7946,7947,7973,7975,7977,7986,8025,8037,8062,8089,8122,8154,8188,8227,8243,8245,8261,8262,8330,8341,8408,8432,8451,8478,8517,8518,8536,8575,8577,8579,8586,8601,8605,8620,8643,8651,8653,8663,8668,8672,8673,8674,8675,8676,8677,8699,8713,8714,8732,8733,8738,8739,8740,8741,8742,8760,8761,8762,8773,8786,8789,8800,8805,8807,8809,8810,8811,8818,8824,8832,8835,8852,8853,8862,8863,8871,8890,8903,8907,8928,8950,8951,8954,8955,8961,8971,8972,8995,9006,9016,9017,9018,9021,9044,9045,9056,9108,9118,9120,9136,9148,9149,9150,9161,9227,9258,9259,9260,9275,9292,9300,9328,9329,9400,9433,9439,9449,9450,9451,9461,9490,9506,9510,9514,9537,9538,9565,9630,9635,9638,9671,9672,9673,9697,9698,9714,9735,9741,9753,9778,9799,9808,9809,9810,9811,9827,9829,9834,9864,9865,9871,9872,9918,9919,9930,9931,9955,9974,9976,9977,9986,9991,10000,10025,10059,10061,10065,10115,10149,10159,10161,10165,10166,10168,10177,10178,10198,10203,10297,10384,10385,10386,10387,10449,10468,2,8,9,4746,4747,4765,4807,4808,4810,4833,4835,4836,4846,4891,4893,4941,5071,5072,5086,5110,5165,5166,5172,5173,5175,5177,5186,5189,5190,5198,5211,5212,5218,5239,5240,5261,5266,5267,5268,5269,5273,5281,5284,5292,5293,5294,5350,5355,5356,5361,5367,5397,5407,5412,5422,5440,5441,5448,5449,5451,5462,5480,5482,5483,5490,5497,5498,5510,5511,5512,5513,5515,5516,5521,5522,5523,5524,5554,5555,5556,5564,5565,5566,5567,5610,5615,5617,5653,5655,5656,5658,5659,5661,5662,5664,5673,5678,5679,5680,5682,5684,5685,5686,5687,5688,5689,5698,5708,5711,5722,5738,5739,5742,5753,5756,5757,5758,5785,5795,5811,5812,5821,5822,5824,5826,5831,5866,5871,5873,5932,5967,5968,5973,5979,5982,5983,5984,5985,6005,6010,6011,6020,6042,6075,6094,6095,6099,6100,6102,6125,6129,6132,6133,6134,6150,6165,6166,6198,6199,6203,6224,6227,6230,6252,6253,6281,6284,6293,6303,6311,6315,6323,6324,6325,6326,6358,6376,6428,6465,6467,6468,6490,6491,6498,6502,6503,6506,6521,6536,6557,6558,6565,6575,6590,6610,6617,6619,6634,6635,6638,6639,6641,6643,6644,6645,6647,6649,6653,6659,6660,6662,6663,6669,6671,6713,6719,6734,6737,6738,6739,6776,6781,6783,6788,6789,6799,6802,6815,6838,6839,6841,6842,6854,6860,6880,6883,6904,6923,6932,6935,6936,6937,6943,6957,6976,6978,6980,6982,6987,6993,6995,7010,7015,7016,7055,7056,7057,7072,7073,7075,7076,7097,7098,7113,7140,7162,7174,7176,7178,7180,7181,7212,7213,7214,7218,7219,7226,7227,7229,7231,7253,7263,7264,7275,7285,7325,7336,7342,7349,7360,7365,7367,7374,7383,7384,7398,7415,7436,7438,7457,7510,7511,7512,7514,7516,7520,7525,7588,7616,7631,7647,7678,7681,7688,7703,7727,7745,7748,7749,7759,7779,7781,7783,7785,7786,7787,7788,7789,7814,7840,7841,7874,7876,7877,7878,7883,7904,7921,7926,7932,7934,7942,7954,7955,7957,7978,7984,8006,8075,8076,8077,8125,8132,8133,8156,8157,8174,8175,8176,8234,8235,8264,8294,8304,8318,8333,8364,8368,8374,8386,8404,8409,8431,8476,8505,8519,8539,8542,8568,8595,8654,8655,8658,8659,8730,8764,8765,8766,8767,8795,8827,8856,8864,8865,8906,8927,8973,8989,9035,9038,9053,9060,9105,9144,9145,9163,9164,9178,9297,9302,9306,9326,9337,9362,9364,9367,9373,9375,9376,9386,9387,9407,9415,9425,9432,9475,9494,9515,9550,9551,9557,9596,9622,9627,9667,9677,9680,9681,9683,9684,9696,9719,9734,9743,9744,9746,9748,9777,9899,9900,9950,9951,9992,10030,10140,10207,10358,10376,10381,3,2846,2854,2855,2856,2857,2858,2859,2860,2864,2871,2872,2874,2875,2876,2893,2894,2895,2900,2903,2904,2905,2907,2908,2911,2912,2913,2915,2916,2920,2938,2939,2940,2941,2942,2945,2946,2947,2948,2949,2957,2958,2959,2967,2968,2978,2979,2981,2982,2994,2995,3001,3003,3005,3008,3009,3011,3012,3013,3017,3020,3021,3022,3032,3033,3034,3035,3036,3041,3044,3045,3048,3049,3050,3076,3078,3080,3081,3083,3084,3088,3089,3092,5349,5439,5479,5626,5627,5628,5709,5810,5840,5874,5890,5892,5898,5960,5961,5962,5963,5971,6007,6145,6187,6197,6221,6256,6294,6444,6449,6488,6489,6511,6514,6516,6523,6524,6525,6526,6527,6528,6529,6530,6612,6683,6684,6775,6810,6811,6851,6852,6994,7009,7067,7084,7085,7092,7114,7138,7146,7148,7195,7216,7217,7235,7236,7274,7319,7320,7382,7422,7491,7492,7493,7494,7509,7541,7593,7594,7602,7607,7608,7619,7650,7651,7652,7653,7796,7798,7799,7800,7806,7807,8012,8015,8021,8022,8031,8034,8072,8073,8152,8193,8247,8269,8270,8349,8444,8515,8516,8520,8554,8591,8616,8617,8686,8706,8707,8708,8709,8860,9098,9122,9123,9193,9207,9261,9262,9381,9383,9418,9444,9477,9520,9717,9841,9987,10176,10232,10234,10464,5291,6043,6595,6596,6686,6706,6707,6763,6764,7137,7358,8781,9029,9218,9219,9288,9289,9472,9568,9569,9570,9571,9780,10053,10067,10435,10436,6668,8608,8609,9086,9106])).
% 203.03/202.87 cnf(13648,plain,
% 203.03/202.87 (~P16(x136481,f246(x136482,x136483,a918,f318(f163(x136484),f104(x136484))))),
% 203.03/202.87 inference(scs_inference,[],[3562,4170,12791,12816,12955,12957,12959,3753,11406,12459,12564,12567,12659,12701,12705,12713,12785,12902,12904,13376,13385,13390,13394,13400,13403,13430,13451,13544,13549,3762,12531,13028,13030,3769,3488,12924,12926,12928,3489,12988,3455,12870,4681,4682,12048,4443,12994,3492,13024,3330,3386,12947,3387,13001,3388,3389,3390,12741,12983,4680,3811,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,10870,11183,11376,11379,11398,11401,11594,11695,11702,11716,11762,11765,11787,11804,11819,11882,11939,11955,12242,12267,12283,12312,12318,12412,12527,12694,12755,12898,13191,13460,13464,3574,3537,13007,3721,12214,3439,4667,10716,10816,11286,11386,13120,13488,4673,3127,3128,3130,3131,3134,3135,3137,3138,3139,3141,3145,3146,3150,3151,3153,3154,3155,3156,3165,3166,3171,3175,3176,3177,3180,3188,3190,3199,3202,3210,3213,3219,3231,3235,3237,3238,3243,3244,3245,3257,3265,3266,3270,3271,3273,3274,3277,3278,3282,3283,3289,3299,3309,3409,3410,4658,3313,3385,4659,3851,4076,11986,3363,11692,3500,3476,3479,10556,10559,10652,10655,10973,11707,11710,11830,11869,11874,11981,12433,12635,12848,12900,12914,12916,12918,12930,12937,12945,13005,13011,13013,13246,13421,13548,13553,13569,3450,12726,12730,12734,3456,3465,3971,4272,3433,13308,3585,12788,12873,3352,3353,3715,4062,11738,3573,3416,3349,3376,3830,3372,3571,4179,4070,3893,3359,3340,3983,3396,3575,11133,11260,12528,12745,3449,4144,4675,10547,10713,11591,11790,12686,12727,12731,4678,12698,3509,12067,12070,13342,13441,13514,13518,13522,13526,4102,4704,11312,11411,11647,11650,3484,3912,3506,3622,3836,3614,4684,12683,3589,12953,12972,12974,3413,3414,10617,10949,4693,3674,3404,3331,3435,11728,4286,12716,12860,4146,11332,11463,11522,12670,12676,12805,12808,12838,4722,11235,11476,11585,11611,11655,11661,12614,4723,11365,11479,11588,4724,11482,11533,4725,11540,4726,3434,3713,12570,12611,12697,3877,3662,12682,4557,4558,3697,3734,4672,11721,3855,3812,3857,4026,3782,13229,13233,13237,13241,13251,4072,12561,3699,3954,3586,10636,10755,10836,10909,10912,10952,11052,11302,11916,12238,12305,12383,12424,12499,12502,12842,13103,13142,13145,13190,13208,13463,13468,3964,11972,3502,3598,11803,12082,13568,3775,4699,10524,10527,10553,10676,10854,11060,11075,11193,11633,11731,11915,12133,12138,12359,12362,12445,12617,12720,13049,13068,13071,13095,13146,13324,13329,13352,13357,4710,11846,11877,11912,11919,11952,13155,13159,3951,3722,3723,13074,13077,13080,13083,13113,13116,13496,13500,13504,4094,3687,13497,3688,13501,3546,3547,3521,4696,3412,4669,3903,4208,3706,4711,4279,11608,3835,3557,12088,12091,12535,12639,12819,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,10859,11045,11289,11502,11797,11891,12037,12151,12154,4248,4207,12585,4155,11130,12231,12418,12595,12744,13517,4197,13521,4202,11335,12456,12534,12594,12638,13345,4203,3878,11923,12241,12390,12464,12518,4236,3895,10679,10776,11338,11416,11495,11559,12411,12415,12480,12750,12815,12835,12845,13315,13384,13389,13412,13433,13450,4714,11078,11487,12598,13397,3518,10645,10742,10821,10895,10959,11034,11081,11084,11115,11141,11177,11215,11254,12040,12085,12211,12266,12286,12289,12292,12295,12473,12487,12490,12493,12496,12578,12642,12761,12811,13096,13119,13178,13200,13211,13216,13219,13223,13226,13259,13270,13335,13363,13366,3519,10727,10964,11055,11180,11822,12116,12119,12130,12217,12228,12247,12252,12298,12321,12338,13110,13263,13283,13325,13330,13353,13358,3520,12505,12508,3594,12448,13175,13230,13234,13238,13242,13252,13256,4695,10564,10593,11099,11144,11153,12000,12021,12185,12188,12191,12194,12282,12301,12304,12317,12371,12374,12377,12380,12546,12549,12645,12648,12754,12794,12882,3669,10824,10915,11188,11232,11466,11469,11548,11630,11807,12693,12885,13307,4706,11108,11118,11224,11245,11248,11315,11318,11329,11432,11442,11454,11490,11507,11516,11556,11597,11602,11605,11624,11627,11664,11669,11672,11675,11678,11922,12064,12097,12365,12368,12402,12449,12476,12623,12667,12673,12773,12776,12798,12859,12865,12876,12892,13174,13194,13197,13294,13380,13425,13444,13447,13493,13513,13547,3579,10946,10976,10979,10988,10991,11577,12795,12812,13156,13160,13163,13166,3618,13477,13539,3611,4030,3969,10596,11975,12003,13137,4703,10544,10934,10937,11435,11451,11938,11991,12025,12148,12173,12176,12179,12182,12444,13369,3539,10982,11138,11208,12004,12147,12343,12554,12579,13187,13484,13567,3993,12094,13090,4327,3728,4700,4004,4038,4687,4689,4691,3495,3499,4690,3497,4688,4450,4494,3825,11968,12051,4421,11829,4716,10845,10848,4721,11321,11324,11510,11621,11638,11684,4112,11681,12024,12028,12704,12712,12804,13311,13375,13406,3959,11251,11257,11275,12263,12395,12479,12769,12801,3809,11391,11513,12511,12620,12630,12709,12764,12772,12889,13318,4284,3961,10985,11354,11519,11553,11564,12708,12758,13417,3670,3776,10898,10901,10994,11164,3777,3778,4719,11969,4715,13058,4720,10735,10851,12573,12582,12626,12829,4382,11121,12591,12606,12629,4290,3992,12895,3937,3938,4717,10569,10572,10940,10943,11843,12029,12841,4718,11949,12034,3962,10904,11170,13467,4221,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497,6499,6505,6510,6544,6545,6548,6549,6550,6552,6553,6554,6555,6564,6597,6598,6607,6629,6630,6652,6654,6666,6667,6673,6703,6705,6720,6758,6761,6762,6820,6843,6888,6903,6910,6919,6920,6921,6922,6941,6942,6949,6961,6964,6966,6967,6968,6970,6972,6986,6997,6998,6999,7013,7070,7081,7083,7087,7106,7107,7142,7149,7154,7185,7215,7272,7301,7359,7380,7390,7394,7454,7464,7524,7526,7540,7549,7550,7551,7569,7573,7575,7620,7630,7633,7648,7695,7697,7700,7743,7744,7762,7832,7850,7875,7898,7910,7924,7935,7946,7947,7973,7975,7977,7986,8025,8037,8062,8089,8122,8154,8188,8227,8243,8245,8261,8262,8330,8341,8408,8432,8451,8478,8517,8518,8536,8575,8577,8579,8586,8601,8605,8620,8643,8651,8653,8663,8668,8672,8673,8674,8675,8676,8677,8699,8713,8714,8732,8733,8738,8739,8740,8741,8742,8760,8761,8762,8773,8786,8789,8800,8805,8807,8809,8810,8811,8818,8824,8832,8835,8852,8853,8862,8863,8871,8890,8903,8907,8928,8950,8951,8954,8955,8961,8971,8972,8995,9006,9016,9017,9018,9021,9044,9045,9056,9108,9118,9120,9136,9148,9149,9150,9161,9227,9258,9259,9260,9275,9292,9300,9328,9329,9400,9433,9439,9449,9450,9451,9461,9490,9506,9510,9514,9537,9538,9565,9630,9635,9638,9671,9672,9673,9697,9698,9714,9735,9741,9753,9778,9799,9808,9809,9810,9811,9827,9829,9834,9864,9865,9871,9872,9918,9919,9930,9931,9955,9974,9976,9977,9986,9991,10000,10025,10059,10061,10065,10115,10149,10159,10161,10165,10166,10168,10177,10178,10198,10203,10297,10384,10385,10386,10387,10449,10468,2,8,9,4746,4747,4765,4807,4808,4810,4833,4835,4836,4846,4891,4893,4941,5071,5072,5086,5110,5165,5166,5172,5173,5175,5177,5186,5189,5190,5198,5211,5212,5218,5239,5240,5261,5266,5267,5268,5269,5273,5281,5284,5292,5293,5294,5350,5355,5356,5361,5367,5397,5407,5412,5422,5440,5441,5448,5449,5451,5462,5480,5482,5483,5490,5497,5498,5510,5511,5512,5513,5515,5516,5521,5522,5523,5524,5554,5555,5556,5564,5565,5566,5567,5610,5615,5617,5653,5655,5656,5658,5659,5661,5662,5664,5673,5678,5679,5680,5682,5684,5685,5686,5687,5688,5689,5698,5708,5711,5722,5738,5739,5742,5753,5756,5757,5758,5785,5795,5811,5812,5821,5822,5824,5826,5831,5866,5871,5873,5932,5967,5968,5973,5979,5982,5983,5984,5985,6005,6010,6011,6020,6042,6075,6094,6095,6099,6100,6102,6125,6129,6132,6133,6134,6150,6165,6166,6198,6199,6203,6224,6227,6230,6252,6253,6281,6284,6293,6303,6311,6315,6323,6324,6325,6326,6358,6376,6428,6465,6467,6468,6490,6491,6498,6502,6503,6506,6521,6536,6557,6558,6565,6575,6590,6610,6617,6619,6634,6635,6638,6639,6641,6643,6644,6645,6647,6649,6653,6659,6660,6662,6663,6669,6671,6713,6719,6734,6737,6738,6739,6776,6781,6783,6788,6789,6799,6802,6815,6838,6839,6841,6842,6854,6860,6880,6883,6904,6923,6932,6935,6936,6937,6943,6957,6976,6978,6980,6982,6987,6993,6995,7010,7015,7016,7055,7056,7057,7072,7073,7075,7076,7097,7098,7113,7140,7162,7174,7176,7178,7180,7181,7212,7213,7214,7218,7219,7226,7227,7229,7231,7253,7263,7264,7275,7285,7325,7336,7342,7349,7360,7365,7367,7374,7383,7384,7398,7415,7436,7438,7457,7510,7511,7512,7514,7516,7520,7525,7588,7616,7631,7647,7678,7681,7688,7703,7727,7745,7748,7749,7759,7779,7781,7783,7785,7786,7787,7788,7789,7814,7840,7841,7874,7876,7877,7878,7883,7904,7921,7926,7932,7934,7942,7954,7955,7957,7978,7984,8006,8075,8076,8077,8125,8132,8133,8156,8157,8174,8175,8176,8234,8235,8264,8294,8304,8318,8333,8364,8368,8374,8386,8404,8409,8431,8476,8505,8519,8539,8542,8568,8595,8654,8655,8658,8659,8730,8764,8765,8766,8767,8795,8827,8856,8864,8865,8906,8927,8973,8989,9035,9038,9053,9060,9105,9144,9145,9163,9164,9178,9297,9302,9306,9326,9337,9362,9364,9367,9373,9375,9376,9386,9387,9407,9415,9425,9432,9475,9494,9515,9550,9551,9557,9596,9622,9627,9667,9677,9680,9681,9683,9684,9696,9719,9734,9743,9744,9746,9748,9777,9899,9900,9950,9951,9992,10030,10140,10207,10358,10376,10381,3,2846,2854,2855,2856,2857,2858,2859,2860,2864,2871,2872,2874,2875,2876,2893,2894,2895,2900,2903,2904,2905,2907,2908,2911,2912,2913,2915,2916,2920,2938,2939,2940,2941,2942,2945,2946,2947,2948,2949,2957,2958,2959,2967,2968,2978,2979,2981,2982,2994,2995,3001,3003,3005,3008,3009,3011,3012,3013,3017,3020,3021,3022,3032,3033,3034,3035,3036,3041,3044,3045,3048,3049,3050,3076,3078,3080,3081,3083,3084,3088,3089,3092,5349,5439,5479,5626,5627,5628,5709,5810,5840,5874,5890,5892,5898,5960,5961,5962,5963,5971,6007,6145,6187,6197,6221,6256,6294,6444,6449,6488,6489,6511,6514,6516,6523,6524,6525,6526,6527,6528,6529,6530,6612,6683,6684,6775,6810,6811,6851,6852,6994,7009,7067,7084,7085,7092,7114,7138,7146,7148,7195,7216,7217,7235,7236,7274,7319,7320,7382,7422,7491,7492,7493,7494,7509,7541,7593,7594,7602,7607,7608,7619,7650,7651,7652,7653,7796,7798,7799,7800,7806,7807,8012,8015,8021,8022,8031,8034,8072,8073,8152,8193,8247,8269,8270,8349,8444,8515,8516,8520,8554,8591,8616,8617,8686,8706,8707,8708,8709,8860,9098,9122,9123,9193,9207,9261,9262,9381,9383,9418,9444,9477,9520,9717,9841,9987,10176,10232,10234,10464,5291,6043,6595,6596,6686,6706,6707,6763,6764,7137,7358,8781,9029,9218,9219,9288,9289,9472,9568,9569,9570,9571,9780,10053,10067,10435,10436,6668,8608,8609,9086,9106,10054,10434,4771,4780,4812,4813,4816,4858,4862,4867,4908,5005,5020,5052,5053,5084,5143,5146,5205,5343,5382,5383,5385,5392,5393,5417,5456,5487,5509,5642,5714,5715,5716,5778])).
% 203.03/202.87 cnf(13650,plain,
% 203.03/202.87 (~P1(f318(f318(f226(a1),f2(a1)),f2(a1)))),
% 203.03/202.87 inference(scs_inference,[],[3562,4170,12791,12816,12955,12957,12959,3753,11406,12459,12564,12567,12659,12701,12705,12713,12785,12902,12904,13376,13385,13390,13394,13400,13403,13430,13451,13544,13549,3762,12531,13028,13030,3769,3488,12924,12926,12928,3489,12988,3455,12870,4681,4682,12048,4443,12994,3492,13024,3330,3386,12947,3387,13001,3388,3389,3390,12741,12983,4680,3811,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,10870,11183,11376,11379,11398,11401,11594,11695,11702,11716,11762,11765,11787,11804,11819,11882,11939,11955,12242,12267,12283,12312,12318,12412,12527,12694,12755,12898,13191,13460,13464,3574,3537,13007,3721,12214,3439,4667,10716,10816,11286,11386,13120,13488,4673,3127,3128,3130,3131,3134,3135,3137,3138,3139,3141,3145,3146,3150,3151,3153,3154,3155,3156,3165,3166,3171,3175,3176,3177,3180,3188,3190,3199,3202,3210,3213,3219,3231,3235,3237,3238,3243,3244,3245,3257,3265,3266,3270,3271,3273,3274,3277,3278,3282,3283,3289,3299,3309,3409,3410,4658,3313,3385,4659,3851,4076,11986,3363,11692,3500,3476,3479,10556,10559,10652,10655,10973,11707,11710,11830,11869,11874,11981,12433,12635,12848,12900,12914,12916,12918,12930,12937,12945,13005,13011,13013,13246,13421,13548,13553,13569,3450,12726,12730,12734,3456,3465,3971,4272,3433,13308,3585,12788,12873,3352,3353,3715,4062,11738,3573,3416,3349,3376,3830,3372,3571,4179,4070,3893,3359,3340,3983,3396,3575,11133,11260,12528,12745,3449,4144,4675,10547,10713,11591,11790,12686,12727,12731,4678,12698,3509,12067,12070,13342,13441,13514,13518,13522,13526,4102,4704,11312,11411,11647,11650,3484,3912,3506,3622,3836,3614,4684,12683,3589,12953,12972,12974,3413,3414,10617,10949,4693,3674,3404,3331,3435,11728,4286,12716,12860,4146,11332,11463,11522,12670,12676,12805,12808,12838,4722,11235,11476,11585,11611,11655,11661,12614,4723,11365,11479,11588,4724,11482,11533,4725,11540,4726,3434,3713,12570,12611,12697,3877,3662,12682,4557,4558,3697,3734,4672,11721,3855,3812,3857,4026,3782,13229,13233,13237,13241,13251,4072,12561,3699,3954,3586,10636,10755,10836,10909,10912,10952,11052,11302,11916,12238,12305,12383,12424,12499,12502,12842,13103,13142,13145,13190,13208,13463,13468,3964,11972,3502,3598,11803,12082,13568,3775,4699,10524,10527,10553,10676,10854,11060,11075,11193,11633,11731,11915,12133,12138,12359,12362,12445,12617,12720,13049,13068,13071,13095,13146,13324,13329,13352,13357,4710,11846,11877,11912,11919,11952,13155,13159,3951,3722,3723,13074,13077,13080,13083,13113,13116,13496,13500,13504,4094,3687,13497,3688,13501,3546,3547,3521,4696,3412,4669,3903,4208,3706,4711,4279,11608,3835,3557,12088,12091,12535,12639,12819,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,10859,11045,11289,11502,11797,11891,12037,12151,12154,4248,4207,12585,4155,11130,12231,12418,12595,12744,13517,4197,13521,4202,11335,12456,12534,12594,12638,13345,4203,3878,11923,12241,12390,12464,12518,4236,3895,10679,10776,11338,11416,11495,11559,12411,12415,12480,12750,12815,12835,12845,13315,13384,13389,13412,13433,13450,4714,11078,11487,12598,13397,3518,10645,10742,10821,10895,10959,11034,11081,11084,11115,11141,11177,11215,11254,12040,12085,12211,12266,12286,12289,12292,12295,12473,12487,12490,12493,12496,12578,12642,12761,12811,13096,13119,13178,13200,13211,13216,13219,13223,13226,13259,13270,13335,13363,13366,3519,10727,10964,11055,11180,11822,12116,12119,12130,12217,12228,12247,12252,12298,12321,12338,13110,13263,13283,13325,13330,13353,13358,3520,12505,12508,3594,12448,13175,13230,13234,13238,13242,13252,13256,4695,10564,10593,11099,11144,11153,12000,12021,12185,12188,12191,12194,12282,12301,12304,12317,12371,12374,12377,12380,12546,12549,12645,12648,12754,12794,12882,3669,10824,10915,11188,11232,11466,11469,11548,11630,11807,12693,12885,13307,4706,11108,11118,11224,11245,11248,11315,11318,11329,11432,11442,11454,11490,11507,11516,11556,11597,11602,11605,11624,11627,11664,11669,11672,11675,11678,11922,12064,12097,12365,12368,12402,12449,12476,12623,12667,12673,12773,12776,12798,12859,12865,12876,12892,13174,13194,13197,13294,13380,13425,13444,13447,13493,13513,13547,3579,10946,10976,10979,10988,10991,11577,12795,12812,13156,13160,13163,13166,3618,13477,13539,3611,4030,3969,10596,11975,12003,13137,4703,10544,10934,10937,11435,11451,11938,11991,12025,12148,12173,12176,12179,12182,12444,13369,3539,10982,11138,11208,12004,12147,12343,12554,12579,13187,13484,13567,3993,12094,13090,4327,3728,4700,4004,4038,4687,4689,4691,3495,3499,4690,3497,4688,4450,4494,3825,11968,12051,4421,11829,4716,10845,10848,4721,11321,11324,11510,11621,11638,11684,4112,11681,12024,12028,12704,12712,12804,13311,13375,13406,3959,11251,11257,11275,12263,12395,12479,12769,12801,3809,11391,11513,12511,12620,12630,12709,12764,12772,12889,13318,4284,3961,10985,11354,11519,11553,11564,12708,12758,13417,3670,3776,10898,10901,10994,11164,3777,3778,4719,11969,4715,13058,4720,10735,10851,12573,12582,12626,12829,4382,11121,12591,12606,12629,4290,3992,12895,3937,3938,4717,10569,10572,10940,10943,11843,12029,12841,4718,11949,12034,3962,10904,11170,13467,4221,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497,6499,6505,6510,6544,6545,6548,6549,6550,6552,6553,6554,6555,6564,6597,6598,6607,6629,6630,6652,6654,6666,6667,6673,6703,6705,6720,6758,6761,6762,6820,6843,6888,6903,6910,6919,6920,6921,6922,6941,6942,6949,6961,6964,6966,6967,6968,6970,6972,6986,6997,6998,6999,7013,7070,7081,7083,7087,7106,7107,7142,7149,7154,7185,7215,7272,7301,7359,7380,7390,7394,7454,7464,7524,7526,7540,7549,7550,7551,7569,7573,7575,7620,7630,7633,7648,7695,7697,7700,7743,7744,7762,7832,7850,7875,7898,7910,7924,7935,7946,7947,7973,7975,7977,7986,8025,8037,8062,8089,8122,8154,8188,8227,8243,8245,8261,8262,8330,8341,8408,8432,8451,8478,8517,8518,8536,8575,8577,8579,8586,8601,8605,8620,8643,8651,8653,8663,8668,8672,8673,8674,8675,8676,8677,8699,8713,8714,8732,8733,8738,8739,8740,8741,8742,8760,8761,8762,8773,8786,8789,8800,8805,8807,8809,8810,8811,8818,8824,8832,8835,8852,8853,8862,8863,8871,8890,8903,8907,8928,8950,8951,8954,8955,8961,8971,8972,8995,9006,9016,9017,9018,9021,9044,9045,9056,9108,9118,9120,9136,9148,9149,9150,9161,9227,9258,9259,9260,9275,9292,9300,9328,9329,9400,9433,9439,9449,9450,9451,9461,9490,9506,9510,9514,9537,9538,9565,9630,9635,9638,9671,9672,9673,9697,9698,9714,9735,9741,9753,9778,9799,9808,9809,9810,9811,9827,9829,9834,9864,9865,9871,9872,9918,9919,9930,9931,9955,9974,9976,9977,9986,9991,10000,10025,10059,10061,10065,10115,10149,10159,10161,10165,10166,10168,10177,10178,10198,10203,10297,10384,10385,10386,10387,10449,10468,2,8,9,4746,4747,4765,4807,4808,4810,4833,4835,4836,4846,4891,4893,4941,5071,5072,5086,5110,5165,5166,5172,5173,5175,5177,5186,5189,5190,5198,5211,5212,5218,5239,5240,5261,5266,5267,5268,5269,5273,5281,5284,5292,5293,5294,5350,5355,5356,5361,5367,5397,5407,5412,5422,5440,5441,5448,5449,5451,5462,5480,5482,5483,5490,5497,5498,5510,5511,5512,5513,5515,5516,5521,5522,5523,5524,5554,5555,5556,5564,5565,5566,5567,5610,5615,5617,5653,5655,5656,5658,5659,5661,5662,5664,5673,5678,5679,5680,5682,5684,5685,5686,5687,5688,5689,5698,5708,5711,5722,5738,5739,5742,5753,5756,5757,5758,5785,5795,5811,5812,5821,5822,5824,5826,5831,5866,5871,5873,5932,5967,5968,5973,5979,5982,5983,5984,5985,6005,6010,6011,6020,6042,6075,6094,6095,6099,6100,6102,6125,6129,6132,6133,6134,6150,6165,6166,6198,6199,6203,6224,6227,6230,6252,6253,6281,6284,6293,6303,6311,6315,6323,6324,6325,6326,6358,6376,6428,6465,6467,6468,6490,6491,6498,6502,6503,6506,6521,6536,6557,6558,6565,6575,6590,6610,6617,6619,6634,6635,6638,6639,6641,6643,6644,6645,6647,6649,6653,6659,6660,6662,6663,6669,6671,6713,6719,6734,6737,6738,6739,6776,6781,6783,6788,6789,6799,6802,6815,6838,6839,6841,6842,6854,6860,6880,6883,6904,6923,6932,6935,6936,6937,6943,6957,6976,6978,6980,6982,6987,6993,6995,7010,7015,7016,7055,7056,7057,7072,7073,7075,7076,7097,7098,7113,7140,7162,7174,7176,7178,7180,7181,7212,7213,7214,7218,7219,7226,7227,7229,7231,7253,7263,7264,7275,7285,7325,7336,7342,7349,7360,7365,7367,7374,7383,7384,7398,7415,7436,7438,7457,7510,7511,7512,7514,7516,7520,7525,7588,7616,7631,7647,7678,7681,7688,7703,7727,7745,7748,7749,7759,7779,7781,7783,7785,7786,7787,7788,7789,7814,7840,7841,7874,7876,7877,7878,7883,7904,7921,7926,7932,7934,7942,7954,7955,7957,7978,7984,8006,8075,8076,8077,8125,8132,8133,8156,8157,8174,8175,8176,8234,8235,8264,8294,8304,8318,8333,8364,8368,8374,8386,8404,8409,8431,8476,8505,8519,8539,8542,8568,8595,8654,8655,8658,8659,8730,8764,8765,8766,8767,8795,8827,8856,8864,8865,8906,8927,8973,8989,9035,9038,9053,9060,9105,9144,9145,9163,9164,9178,9297,9302,9306,9326,9337,9362,9364,9367,9373,9375,9376,9386,9387,9407,9415,9425,9432,9475,9494,9515,9550,9551,9557,9596,9622,9627,9667,9677,9680,9681,9683,9684,9696,9719,9734,9743,9744,9746,9748,9777,9899,9900,9950,9951,9992,10030,10140,10207,10358,10376,10381,3,2846,2854,2855,2856,2857,2858,2859,2860,2864,2871,2872,2874,2875,2876,2893,2894,2895,2900,2903,2904,2905,2907,2908,2911,2912,2913,2915,2916,2920,2938,2939,2940,2941,2942,2945,2946,2947,2948,2949,2957,2958,2959,2967,2968,2978,2979,2981,2982,2994,2995,3001,3003,3005,3008,3009,3011,3012,3013,3017,3020,3021,3022,3032,3033,3034,3035,3036,3041,3044,3045,3048,3049,3050,3076,3078,3080,3081,3083,3084,3088,3089,3092,5349,5439,5479,5626,5627,5628,5709,5810,5840,5874,5890,5892,5898,5960,5961,5962,5963,5971,6007,6145,6187,6197,6221,6256,6294,6444,6449,6488,6489,6511,6514,6516,6523,6524,6525,6526,6527,6528,6529,6530,6612,6683,6684,6775,6810,6811,6851,6852,6994,7009,7067,7084,7085,7092,7114,7138,7146,7148,7195,7216,7217,7235,7236,7274,7319,7320,7382,7422,7491,7492,7493,7494,7509,7541,7593,7594,7602,7607,7608,7619,7650,7651,7652,7653,7796,7798,7799,7800,7806,7807,8012,8015,8021,8022,8031,8034,8072,8073,8152,8193,8247,8269,8270,8349,8444,8515,8516,8520,8554,8591,8616,8617,8686,8706,8707,8708,8709,8860,9098,9122,9123,9193,9207,9261,9262,9381,9383,9418,9444,9477,9520,9717,9841,9987,10176,10232,10234,10464,5291,6043,6595,6596,6686,6706,6707,6763,6764,7137,7358,8781,9029,9218,9219,9288,9289,9472,9568,9569,9570,9571,9780,10053,10067,10435,10436,6668,8608,8609,9086,9106,10054,10434,4771,4780,4812,4813,4816,4858,4862,4867,4908,5005,5020,5052,5053,5084,5143,5146,5205,5343,5382,5383,5385,5392,5393,5417,5456,5487,5509,5642,5714,5715,5716,5778,5836])).
% 203.03/202.87 cnf(13652,plain,
% 203.03/202.87 (P1(f318(f318(f226(a1),f2(a1)),f318(f69(a1),f71(a1))))),
% 203.03/202.87 inference(scs_inference,[],[3562,4170,12791,12816,12955,12957,12959,3753,11406,12459,12564,12567,12659,12701,12705,12713,12785,12902,12904,13376,13385,13390,13394,13400,13403,13430,13451,13544,13549,3762,12531,13028,13030,3769,3488,12924,12926,12928,3489,12988,3455,12870,4681,4682,12048,4443,12994,3492,13024,3330,3386,12947,3387,13001,3388,3389,3390,12741,12983,4680,3811,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,10870,11183,11376,11379,11398,11401,11594,11695,11702,11716,11762,11765,11787,11804,11819,11882,11939,11955,12242,12267,12283,12312,12318,12412,12527,12694,12755,12898,13191,13460,13464,3574,3537,13007,3721,12214,3439,4667,10716,10816,11286,11386,13120,13488,4673,3127,3128,3130,3131,3134,3135,3137,3138,3139,3141,3145,3146,3150,3151,3153,3154,3155,3156,3165,3166,3171,3175,3176,3177,3180,3188,3190,3199,3202,3210,3213,3219,3231,3235,3237,3238,3243,3244,3245,3257,3265,3266,3270,3271,3273,3274,3277,3278,3282,3283,3289,3299,3309,3409,3410,4658,3313,3385,4659,3851,4076,11986,3363,11692,3500,3476,3479,10556,10559,10652,10655,10973,11707,11710,11830,11869,11874,11981,12433,12635,12848,12900,12914,12916,12918,12930,12937,12945,13005,13011,13013,13246,13421,13548,13553,13569,3450,12726,12730,12734,3456,3465,3971,4272,3433,13308,3585,12788,12873,3352,3353,3715,4062,11738,3573,3416,3349,3376,3830,3372,3571,4179,4070,3893,3359,3340,3983,3396,3575,11133,11260,12528,12745,3449,4144,4675,10547,10713,11591,11790,12686,12727,12731,4678,12698,3509,12067,12070,13342,13441,13514,13518,13522,13526,4102,4704,11312,11411,11647,11650,3484,3912,3506,3622,3836,3614,4684,12683,3589,12953,12972,12974,3413,3414,10617,10949,4693,3674,3404,3331,3435,11728,4286,12716,12860,4146,11332,11463,11522,12670,12676,12805,12808,12838,4722,11235,11476,11585,11611,11655,11661,12614,4723,11365,11479,11588,4724,11482,11533,4725,11540,4726,3434,3713,12570,12611,12697,3877,3662,12682,4557,4558,3697,3734,4672,11721,3855,3812,3857,4026,3782,13229,13233,13237,13241,13251,4072,12561,3699,3954,3586,10636,10755,10836,10909,10912,10952,11052,11302,11916,12238,12305,12383,12424,12499,12502,12842,13103,13142,13145,13190,13208,13463,13468,3964,11972,3502,3598,11803,12082,13568,3775,4699,10524,10527,10553,10676,10854,11060,11075,11193,11633,11731,11915,12133,12138,12359,12362,12445,12617,12720,13049,13068,13071,13095,13146,13324,13329,13352,13357,4710,11846,11877,11912,11919,11952,13155,13159,3951,3722,3723,13074,13077,13080,13083,13113,13116,13496,13500,13504,4094,3687,13497,3688,13501,3546,3547,3521,4696,3412,4669,3903,4208,3706,4711,4279,11608,3835,3557,12088,12091,12535,12639,12819,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,10859,11045,11289,11502,11797,11891,12037,12151,12154,4248,4207,12585,4155,11130,12231,12418,12595,12744,13517,4197,13521,4202,11335,12456,12534,12594,12638,13345,4203,3878,11923,12241,12390,12464,12518,4236,3895,10679,10776,11338,11416,11495,11559,12411,12415,12480,12750,12815,12835,12845,13315,13384,13389,13412,13433,13450,4714,11078,11487,12598,13397,3518,10645,10742,10821,10895,10959,11034,11081,11084,11115,11141,11177,11215,11254,12040,12085,12211,12266,12286,12289,12292,12295,12473,12487,12490,12493,12496,12578,12642,12761,12811,13096,13119,13178,13200,13211,13216,13219,13223,13226,13259,13270,13335,13363,13366,3519,10727,10964,11055,11180,11822,12116,12119,12130,12217,12228,12247,12252,12298,12321,12338,13110,13263,13283,13325,13330,13353,13358,3520,12505,12508,3594,12448,13175,13230,13234,13238,13242,13252,13256,4695,10564,10593,11099,11144,11153,12000,12021,12185,12188,12191,12194,12282,12301,12304,12317,12371,12374,12377,12380,12546,12549,12645,12648,12754,12794,12882,3669,10824,10915,11188,11232,11466,11469,11548,11630,11807,12693,12885,13307,4706,11108,11118,11224,11245,11248,11315,11318,11329,11432,11442,11454,11490,11507,11516,11556,11597,11602,11605,11624,11627,11664,11669,11672,11675,11678,11922,12064,12097,12365,12368,12402,12449,12476,12623,12667,12673,12773,12776,12798,12859,12865,12876,12892,13174,13194,13197,13294,13380,13425,13444,13447,13493,13513,13547,3579,10946,10976,10979,10988,10991,11577,12795,12812,13156,13160,13163,13166,3618,13477,13539,3611,4030,3969,10596,11975,12003,13137,4703,10544,10934,10937,11435,11451,11938,11991,12025,12148,12173,12176,12179,12182,12444,13369,3539,10982,11138,11208,12004,12147,12343,12554,12579,13187,13484,13567,3993,12094,13090,4327,3728,4700,4004,4038,4687,4689,4691,3495,3499,4690,3497,4688,4450,4494,3825,11968,12051,4421,11829,4716,10845,10848,4721,11321,11324,11510,11621,11638,11684,4112,11681,12024,12028,12704,12712,12804,13311,13375,13406,3959,11251,11257,11275,12263,12395,12479,12769,12801,3809,11391,11513,12511,12620,12630,12709,12764,12772,12889,13318,4284,3961,10985,11354,11519,11553,11564,12708,12758,13417,3670,3776,10898,10901,10994,11164,3777,3778,4719,11969,4715,13058,4720,10735,10851,12573,12582,12626,12829,4382,11121,12591,12606,12629,4290,3992,12895,3937,3938,4717,10569,10572,10940,10943,11843,12029,12841,4718,11949,12034,3962,10904,11170,13467,4221,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497,6499,6505,6510,6544,6545,6548,6549,6550,6552,6553,6554,6555,6564,6597,6598,6607,6629,6630,6652,6654,6666,6667,6673,6703,6705,6720,6758,6761,6762,6820,6843,6888,6903,6910,6919,6920,6921,6922,6941,6942,6949,6961,6964,6966,6967,6968,6970,6972,6986,6997,6998,6999,7013,7070,7081,7083,7087,7106,7107,7142,7149,7154,7185,7215,7272,7301,7359,7380,7390,7394,7454,7464,7524,7526,7540,7549,7550,7551,7569,7573,7575,7620,7630,7633,7648,7695,7697,7700,7743,7744,7762,7832,7850,7875,7898,7910,7924,7935,7946,7947,7973,7975,7977,7986,8025,8037,8062,8089,8122,8154,8188,8227,8243,8245,8261,8262,8330,8341,8408,8432,8451,8478,8517,8518,8536,8575,8577,8579,8586,8601,8605,8620,8643,8651,8653,8663,8668,8672,8673,8674,8675,8676,8677,8699,8713,8714,8732,8733,8738,8739,8740,8741,8742,8760,8761,8762,8773,8786,8789,8800,8805,8807,8809,8810,8811,8818,8824,8832,8835,8852,8853,8862,8863,8871,8890,8903,8907,8928,8950,8951,8954,8955,8961,8971,8972,8995,9006,9016,9017,9018,9021,9044,9045,9056,9108,9118,9120,9136,9148,9149,9150,9161,9227,9258,9259,9260,9275,9292,9300,9328,9329,9400,9433,9439,9449,9450,9451,9461,9490,9506,9510,9514,9537,9538,9565,9630,9635,9638,9671,9672,9673,9697,9698,9714,9735,9741,9753,9778,9799,9808,9809,9810,9811,9827,9829,9834,9864,9865,9871,9872,9918,9919,9930,9931,9955,9974,9976,9977,9986,9991,10000,10025,10059,10061,10065,10115,10149,10159,10161,10165,10166,10168,10177,10178,10198,10203,10297,10384,10385,10386,10387,10449,10468,2,8,9,4746,4747,4765,4807,4808,4810,4833,4835,4836,4846,4891,4893,4941,5071,5072,5086,5110,5165,5166,5172,5173,5175,5177,5186,5189,5190,5198,5211,5212,5218,5239,5240,5261,5266,5267,5268,5269,5273,5281,5284,5292,5293,5294,5350,5355,5356,5361,5367,5397,5407,5412,5422,5440,5441,5448,5449,5451,5462,5480,5482,5483,5490,5497,5498,5510,5511,5512,5513,5515,5516,5521,5522,5523,5524,5554,5555,5556,5564,5565,5566,5567,5610,5615,5617,5653,5655,5656,5658,5659,5661,5662,5664,5673,5678,5679,5680,5682,5684,5685,5686,5687,5688,5689,5698,5708,5711,5722,5738,5739,5742,5753,5756,5757,5758,5785,5795,5811,5812,5821,5822,5824,5826,5831,5866,5871,5873,5932,5967,5968,5973,5979,5982,5983,5984,5985,6005,6010,6011,6020,6042,6075,6094,6095,6099,6100,6102,6125,6129,6132,6133,6134,6150,6165,6166,6198,6199,6203,6224,6227,6230,6252,6253,6281,6284,6293,6303,6311,6315,6323,6324,6325,6326,6358,6376,6428,6465,6467,6468,6490,6491,6498,6502,6503,6506,6521,6536,6557,6558,6565,6575,6590,6610,6617,6619,6634,6635,6638,6639,6641,6643,6644,6645,6647,6649,6653,6659,6660,6662,6663,6669,6671,6713,6719,6734,6737,6738,6739,6776,6781,6783,6788,6789,6799,6802,6815,6838,6839,6841,6842,6854,6860,6880,6883,6904,6923,6932,6935,6936,6937,6943,6957,6976,6978,6980,6982,6987,6993,6995,7010,7015,7016,7055,7056,7057,7072,7073,7075,7076,7097,7098,7113,7140,7162,7174,7176,7178,7180,7181,7212,7213,7214,7218,7219,7226,7227,7229,7231,7253,7263,7264,7275,7285,7325,7336,7342,7349,7360,7365,7367,7374,7383,7384,7398,7415,7436,7438,7457,7510,7511,7512,7514,7516,7520,7525,7588,7616,7631,7647,7678,7681,7688,7703,7727,7745,7748,7749,7759,7779,7781,7783,7785,7786,7787,7788,7789,7814,7840,7841,7874,7876,7877,7878,7883,7904,7921,7926,7932,7934,7942,7954,7955,7957,7978,7984,8006,8075,8076,8077,8125,8132,8133,8156,8157,8174,8175,8176,8234,8235,8264,8294,8304,8318,8333,8364,8368,8374,8386,8404,8409,8431,8476,8505,8519,8539,8542,8568,8595,8654,8655,8658,8659,8730,8764,8765,8766,8767,8795,8827,8856,8864,8865,8906,8927,8973,8989,9035,9038,9053,9060,9105,9144,9145,9163,9164,9178,9297,9302,9306,9326,9337,9362,9364,9367,9373,9375,9376,9386,9387,9407,9415,9425,9432,9475,9494,9515,9550,9551,9557,9596,9622,9627,9667,9677,9680,9681,9683,9684,9696,9719,9734,9743,9744,9746,9748,9777,9899,9900,9950,9951,9992,10030,10140,10207,10358,10376,10381,3,2846,2854,2855,2856,2857,2858,2859,2860,2864,2871,2872,2874,2875,2876,2893,2894,2895,2900,2903,2904,2905,2907,2908,2911,2912,2913,2915,2916,2920,2938,2939,2940,2941,2942,2945,2946,2947,2948,2949,2957,2958,2959,2967,2968,2978,2979,2981,2982,2994,2995,3001,3003,3005,3008,3009,3011,3012,3013,3017,3020,3021,3022,3032,3033,3034,3035,3036,3041,3044,3045,3048,3049,3050,3076,3078,3080,3081,3083,3084,3088,3089,3092,5349,5439,5479,5626,5627,5628,5709,5810,5840,5874,5890,5892,5898,5960,5961,5962,5963,5971,6007,6145,6187,6197,6221,6256,6294,6444,6449,6488,6489,6511,6514,6516,6523,6524,6525,6526,6527,6528,6529,6530,6612,6683,6684,6775,6810,6811,6851,6852,6994,7009,7067,7084,7085,7092,7114,7138,7146,7148,7195,7216,7217,7235,7236,7274,7319,7320,7382,7422,7491,7492,7493,7494,7509,7541,7593,7594,7602,7607,7608,7619,7650,7651,7652,7653,7796,7798,7799,7800,7806,7807,8012,8015,8021,8022,8031,8034,8072,8073,8152,8193,8247,8269,8270,8349,8444,8515,8516,8520,8554,8591,8616,8617,8686,8706,8707,8708,8709,8860,9098,9122,9123,9193,9207,9261,9262,9381,9383,9418,9444,9477,9520,9717,9841,9987,10176,10232,10234,10464,5291,6043,6595,6596,6686,6706,6707,6763,6764,7137,7358,8781,9029,9218,9219,9288,9289,9472,9568,9569,9570,9571,9780,10053,10067,10435,10436,6668,8608,8609,9086,9106,10054,10434,4771,4780,4812,4813,4816,4858,4862,4867,4908,5005,5020,5052,5053,5084,5143,5146,5205,5343,5382,5383,5385,5392,5393,5417,5456,5487,5509,5642,5714,5715,5716,5778,5836,5837])).
% 203.03/202.87 cnf(13674,plain,
% 203.03/202.87 (~P1(f318(f55(x136741),f31(f927(x136741,a918),f233(f927(f927(x136741,a918),a918)))))),
% 203.03/202.87 inference(scs_inference,[],[3562,4170,12791,12816,12955,12957,12959,3753,11406,12459,12564,12567,12659,12701,12705,12713,12785,12902,12904,13376,13385,13390,13394,13400,13403,13430,13451,13544,13549,3762,12531,13028,13030,3769,3488,12924,12926,12928,3489,12988,3455,12870,4681,4682,12048,4443,12994,3492,13024,3330,3386,12947,3387,13001,3388,3389,3390,12741,12983,4680,3811,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,10870,11183,11376,11379,11398,11401,11594,11695,11702,11716,11762,11765,11787,11804,11819,11882,11939,11955,12242,12267,12283,12312,12318,12412,12527,12694,12755,12898,13191,13460,13464,3574,3537,13007,3721,12214,3439,4667,10716,10816,11286,11386,13120,13488,4673,3127,3128,3130,3131,3134,3135,3137,3138,3139,3141,3145,3146,3150,3151,3153,3154,3155,3156,3165,3166,3171,3175,3176,3177,3180,3188,3190,3199,3202,3210,3213,3219,3231,3235,3237,3238,3243,3244,3245,3257,3265,3266,3270,3271,3273,3274,3277,3278,3282,3283,3289,3299,3309,3409,3410,4658,3313,3385,4659,3851,4076,11986,3363,11692,3500,3476,3479,10556,10559,10652,10655,10973,11707,11710,11830,11869,11874,11981,12433,12635,12848,12900,12914,12916,12918,12930,12937,12945,13005,13011,13013,13246,13421,13548,13553,13569,3450,12726,12730,12734,3456,3465,3971,4272,3433,13308,3585,12788,12873,3352,3353,3715,4062,11738,3573,3416,3349,3376,3830,3372,3571,4179,4070,3893,3359,3340,3983,3396,3575,11133,11260,12528,12745,3449,4144,4675,10547,10713,11591,11790,12686,12727,12731,4678,12698,3509,12067,12070,13342,13441,13514,13518,13522,13526,4102,4704,11312,11411,11647,11650,3484,3912,3506,3622,3836,3614,4684,12683,3589,12953,12972,12974,3413,3414,10617,10949,4693,3674,3404,3331,3435,11728,4286,12716,12860,4146,11332,11463,11522,12670,12676,12805,12808,12838,4722,11235,11476,11585,11611,11655,11661,12614,4723,11365,11479,11588,4724,11482,11533,4725,11540,4726,3434,3713,12570,12611,12697,3877,3662,12682,4557,4558,3697,3734,4672,11721,3855,3812,3857,4026,3782,13229,13233,13237,13241,13251,4072,12561,3699,3954,3586,10636,10755,10836,10909,10912,10952,11052,11302,11916,12238,12305,12383,12424,12499,12502,12842,13103,13142,13145,13190,13208,13463,13468,3964,11972,3502,3598,11803,12082,13568,3775,4699,10524,10527,10553,10676,10854,11060,11075,11193,11633,11731,11915,12133,12138,12359,12362,12445,12617,12720,13049,13068,13071,13095,13146,13324,13329,13352,13357,4710,11846,11877,11912,11919,11952,13155,13159,3951,3722,3723,13074,13077,13080,13083,13113,13116,13496,13500,13504,4094,3687,13497,3688,13501,3546,3547,3521,4696,3412,4669,3903,4208,3706,4711,4279,11608,3835,3557,12088,12091,12535,12639,12819,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,10859,11045,11289,11502,11797,11891,12037,12151,12154,4248,4207,12585,4155,11130,12231,12418,12595,12744,13517,4197,13521,4202,11335,12456,12534,12594,12638,13345,4203,3878,11923,12241,12390,12464,12518,4236,3895,10679,10776,11338,11416,11495,11559,12411,12415,12480,12750,12815,12835,12845,13315,13384,13389,13412,13433,13450,4714,11078,11487,12598,13397,3518,10645,10742,10821,10895,10959,11034,11081,11084,11115,11141,11177,11215,11254,12040,12085,12211,12266,12286,12289,12292,12295,12473,12487,12490,12493,12496,12578,12642,12761,12811,13096,13119,13178,13200,13211,13216,13219,13223,13226,13259,13270,13335,13363,13366,3519,10727,10964,11055,11180,11822,12116,12119,12130,12217,12228,12247,12252,12298,12321,12338,13110,13263,13283,13325,13330,13353,13358,3520,12505,12508,3594,12448,13175,13230,13234,13238,13242,13252,13256,4695,10564,10593,11099,11144,11153,12000,12021,12185,12188,12191,12194,12282,12301,12304,12317,12371,12374,12377,12380,12546,12549,12645,12648,12754,12794,12882,3669,10824,10915,11188,11232,11466,11469,11548,11630,11807,12693,12885,13307,4706,11108,11118,11224,11245,11248,11315,11318,11329,11432,11442,11454,11490,11507,11516,11556,11597,11602,11605,11624,11627,11664,11669,11672,11675,11678,11922,12064,12097,12365,12368,12402,12449,12476,12623,12667,12673,12773,12776,12798,12859,12865,12876,12892,13174,13194,13197,13294,13380,13425,13444,13447,13493,13513,13547,3579,10946,10976,10979,10988,10991,11577,12795,12812,13156,13160,13163,13166,3618,13477,13539,3611,4030,3969,10596,11975,12003,13137,4703,10544,10934,10937,11435,11451,11938,11991,12025,12148,12173,12176,12179,12182,12444,13369,3539,10982,11138,11208,12004,12147,12343,12554,12579,13187,13484,13567,3993,12094,13090,4327,3728,4700,4004,4038,4687,4689,4691,3495,3499,4690,3497,4688,4450,4494,3825,11968,12051,4421,11829,4716,10845,10848,4721,11321,11324,11510,11621,11638,11684,4112,11681,12024,12028,12704,12712,12804,13311,13375,13406,3959,11251,11257,11275,12263,12395,12479,12769,12801,3809,11391,11513,12511,12620,12630,12709,12764,12772,12889,13318,4284,3961,10985,11354,11519,11553,11564,12708,12758,13417,3670,3776,10898,10901,10994,11164,3777,3778,4719,11969,4715,13058,4720,10735,10851,12573,12582,12626,12829,4382,11121,12591,12606,12629,4290,3992,12895,3937,3938,4717,10569,10572,10940,10943,11843,12029,12841,4718,11949,12034,3962,10904,11170,13467,4221,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497,6499,6505,6510,6544,6545,6548,6549,6550,6552,6553,6554,6555,6564,6597,6598,6607,6629,6630,6652,6654,6666,6667,6673,6703,6705,6720,6758,6761,6762,6820,6843,6888,6903,6910,6919,6920,6921,6922,6941,6942,6949,6961,6964,6966,6967,6968,6970,6972,6986,6997,6998,6999,7013,7070,7081,7083,7087,7106,7107,7142,7149,7154,7185,7215,7272,7301,7359,7380,7390,7394,7454,7464,7524,7526,7540,7549,7550,7551,7569,7573,7575,7620,7630,7633,7648,7695,7697,7700,7743,7744,7762,7832,7850,7875,7898,7910,7924,7935,7946,7947,7973,7975,7977,7986,8025,8037,8062,8089,8122,8154,8188,8227,8243,8245,8261,8262,8330,8341,8408,8432,8451,8478,8517,8518,8536,8575,8577,8579,8586,8601,8605,8620,8643,8651,8653,8663,8668,8672,8673,8674,8675,8676,8677,8699,8713,8714,8732,8733,8738,8739,8740,8741,8742,8760,8761,8762,8773,8786,8789,8800,8805,8807,8809,8810,8811,8818,8824,8832,8835,8852,8853,8862,8863,8871,8890,8903,8907,8928,8950,8951,8954,8955,8961,8971,8972,8995,9006,9016,9017,9018,9021,9044,9045,9056,9108,9118,9120,9136,9148,9149,9150,9161,9227,9258,9259,9260,9275,9292,9300,9328,9329,9400,9433,9439,9449,9450,9451,9461,9490,9506,9510,9514,9537,9538,9565,9630,9635,9638,9671,9672,9673,9697,9698,9714,9735,9741,9753,9778,9799,9808,9809,9810,9811,9827,9829,9834,9864,9865,9871,9872,9918,9919,9930,9931,9955,9974,9976,9977,9986,9991,10000,10025,10059,10061,10065,10115,10149,10159,10161,10165,10166,10168,10177,10178,10198,10203,10297,10384,10385,10386,10387,10449,10468,2,8,9,4746,4747,4765,4807,4808,4810,4833,4835,4836,4846,4891,4893,4941,5071,5072,5086,5110,5165,5166,5172,5173,5175,5177,5186,5189,5190,5198,5211,5212,5218,5239,5240,5261,5266,5267,5268,5269,5273,5281,5284,5292,5293,5294,5350,5355,5356,5361,5367,5397,5407,5412,5422,5440,5441,5448,5449,5451,5462,5480,5482,5483,5490,5497,5498,5510,5511,5512,5513,5515,5516,5521,5522,5523,5524,5554,5555,5556,5564,5565,5566,5567,5610,5615,5617,5653,5655,5656,5658,5659,5661,5662,5664,5673,5678,5679,5680,5682,5684,5685,5686,5687,5688,5689,5698,5708,5711,5722,5738,5739,5742,5753,5756,5757,5758,5785,5795,5811,5812,5821,5822,5824,5826,5831,5866,5871,5873,5932,5967,5968,5973,5979,5982,5983,5984,5985,6005,6010,6011,6020,6042,6075,6094,6095,6099,6100,6102,6125,6129,6132,6133,6134,6150,6165,6166,6198,6199,6203,6224,6227,6230,6252,6253,6281,6284,6293,6303,6311,6315,6323,6324,6325,6326,6358,6376,6428,6465,6467,6468,6490,6491,6498,6502,6503,6506,6521,6536,6557,6558,6565,6575,6590,6610,6617,6619,6634,6635,6638,6639,6641,6643,6644,6645,6647,6649,6653,6659,6660,6662,6663,6669,6671,6713,6719,6734,6737,6738,6739,6776,6781,6783,6788,6789,6799,6802,6815,6838,6839,6841,6842,6854,6860,6880,6883,6904,6923,6932,6935,6936,6937,6943,6957,6976,6978,6980,6982,6987,6993,6995,7010,7015,7016,7055,7056,7057,7072,7073,7075,7076,7097,7098,7113,7140,7162,7174,7176,7178,7180,7181,7212,7213,7214,7218,7219,7226,7227,7229,7231,7253,7263,7264,7275,7285,7325,7336,7342,7349,7360,7365,7367,7374,7383,7384,7398,7415,7436,7438,7457,7510,7511,7512,7514,7516,7520,7525,7588,7616,7631,7647,7678,7681,7688,7703,7727,7745,7748,7749,7759,7779,7781,7783,7785,7786,7787,7788,7789,7814,7840,7841,7874,7876,7877,7878,7883,7904,7921,7926,7932,7934,7942,7954,7955,7957,7978,7984,8006,8075,8076,8077,8125,8132,8133,8156,8157,8174,8175,8176,8234,8235,8264,8294,8304,8318,8333,8364,8368,8374,8386,8404,8409,8431,8476,8505,8519,8539,8542,8568,8595,8654,8655,8658,8659,8730,8764,8765,8766,8767,8795,8827,8856,8864,8865,8906,8927,8973,8989,9035,9038,9053,9060,9105,9144,9145,9163,9164,9178,9297,9302,9306,9326,9337,9362,9364,9367,9373,9375,9376,9386,9387,9407,9415,9425,9432,9475,9494,9515,9550,9551,9557,9596,9622,9627,9667,9677,9680,9681,9683,9684,9696,9719,9734,9743,9744,9746,9748,9777,9899,9900,9950,9951,9992,10030,10140,10207,10358,10376,10381,3,2846,2854,2855,2856,2857,2858,2859,2860,2864,2871,2872,2874,2875,2876,2893,2894,2895,2900,2903,2904,2905,2907,2908,2911,2912,2913,2915,2916,2920,2938,2939,2940,2941,2942,2945,2946,2947,2948,2949,2957,2958,2959,2967,2968,2978,2979,2981,2982,2994,2995,3001,3003,3005,3008,3009,3011,3012,3013,3017,3020,3021,3022,3032,3033,3034,3035,3036,3041,3044,3045,3048,3049,3050,3076,3078,3080,3081,3083,3084,3088,3089,3092,5349,5439,5479,5626,5627,5628,5709,5810,5840,5874,5890,5892,5898,5960,5961,5962,5963,5971,6007,6145,6187,6197,6221,6256,6294,6444,6449,6488,6489,6511,6514,6516,6523,6524,6525,6526,6527,6528,6529,6530,6612,6683,6684,6775,6810,6811,6851,6852,6994,7009,7067,7084,7085,7092,7114,7138,7146,7148,7195,7216,7217,7235,7236,7274,7319,7320,7382,7422,7491,7492,7493,7494,7509,7541,7593,7594,7602,7607,7608,7619,7650,7651,7652,7653,7796,7798,7799,7800,7806,7807,8012,8015,8021,8022,8031,8034,8072,8073,8152,8193,8247,8269,8270,8349,8444,8515,8516,8520,8554,8591,8616,8617,8686,8706,8707,8708,8709,8860,9098,9122,9123,9193,9207,9261,9262,9381,9383,9418,9444,9477,9520,9717,9841,9987,10176,10232,10234,10464,5291,6043,6595,6596,6686,6706,6707,6763,6764,7137,7358,8781,9029,9218,9219,9288,9289,9472,9568,9569,9570,9571,9780,10053,10067,10435,10436,6668,8608,8609,9086,9106,10054,10434,4771,4780,4812,4813,4816,4858,4862,4867,4908,5005,5020,5052,5053,5084,5143,5146,5205,5343,5382,5383,5385,5392,5393,5417,5456,5487,5509,5642,5714,5715,5716,5778,5836,5837,5863,5867,5926,5928,5937,5943,6024,6109,6263,6319,6431])).
% 203.03/202.87 cnf(13682,plain,
% 203.03/202.87 (~P1(f318(f318(f226(a920),f2(a920)),f179(a920)))),
% 203.03/202.87 inference(scs_inference,[],[3562,4170,12791,12816,12955,12957,12959,3753,11406,12459,12564,12567,12659,12701,12705,12713,12785,12902,12904,13376,13385,13390,13394,13400,13403,13430,13451,13544,13549,3762,12531,13028,13030,3769,3488,12924,12926,12928,3489,12988,3455,12870,4681,4682,12048,4443,12994,3492,13024,3330,3386,12947,3387,13001,3388,3389,3390,12741,12983,4680,3811,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,10870,11183,11376,11379,11398,11401,11594,11695,11702,11716,11762,11765,11787,11804,11819,11882,11939,11955,12242,12267,12283,12312,12318,12412,12527,12694,12755,12898,13191,13460,13464,3574,3537,13007,3721,12214,3439,4667,10716,10816,11286,11386,13120,13488,4673,3127,3128,3130,3131,3134,3135,3137,3138,3139,3141,3145,3146,3150,3151,3153,3154,3155,3156,3165,3166,3171,3175,3176,3177,3180,3188,3190,3199,3202,3210,3213,3219,3231,3235,3237,3238,3243,3244,3245,3257,3265,3266,3270,3271,3273,3274,3277,3278,3282,3283,3289,3299,3309,3409,3410,4658,3313,3385,4659,3851,4076,11986,3363,11692,3500,3476,3479,10556,10559,10652,10655,10973,11707,11710,11830,11869,11874,11981,12433,12635,12848,12900,12914,12916,12918,12930,12937,12945,13005,13011,13013,13246,13421,13548,13553,13569,3450,12726,12730,12734,3456,3465,3971,4272,3433,13308,3585,12788,12873,3352,3353,3715,4062,11738,3573,3416,3349,3376,3830,3372,3571,4179,4070,3893,3359,3340,3983,3396,3575,11133,11260,12528,12745,3449,4144,4675,10547,10713,11591,11790,12686,12727,12731,4678,12698,3509,12067,12070,13342,13441,13514,13518,13522,13526,4102,4704,11312,11411,11647,11650,3484,3912,3506,3622,3836,3614,4684,12683,3589,12953,12972,12974,3413,3414,10617,10949,4693,3674,3404,3331,3435,11728,4286,12716,12860,4146,11332,11463,11522,12670,12676,12805,12808,12838,4722,11235,11476,11585,11611,11655,11661,12614,4723,11365,11479,11588,4724,11482,11533,4725,11540,4726,3434,3713,12570,12611,12697,3877,3662,12682,4557,4558,3697,3734,4672,11721,3855,3812,3857,4026,3782,13229,13233,13237,13241,13251,4072,12561,3699,3954,3586,10636,10755,10836,10909,10912,10952,11052,11302,11916,12238,12305,12383,12424,12499,12502,12842,13103,13142,13145,13190,13208,13463,13468,3964,11972,3502,3598,11803,12082,13568,3775,4699,10524,10527,10553,10676,10854,11060,11075,11193,11633,11731,11915,12133,12138,12359,12362,12445,12617,12720,13049,13068,13071,13095,13146,13324,13329,13352,13357,4710,11846,11877,11912,11919,11952,13155,13159,3951,3722,3723,13074,13077,13080,13083,13113,13116,13496,13500,13504,4094,3687,13497,3688,13501,3546,3547,3521,4696,3412,4669,3903,4208,3706,4711,4279,11608,3835,3557,12088,12091,12535,12639,12819,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,10859,11045,11289,11502,11797,11891,12037,12151,12154,4248,4207,12585,4155,11130,12231,12418,12595,12744,13517,4197,13521,4202,11335,12456,12534,12594,12638,13345,4203,3878,11923,12241,12390,12464,12518,4236,3895,10679,10776,11338,11416,11495,11559,12411,12415,12480,12750,12815,12835,12845,13315,13384,13389,13412,13433,13450,4714,11078,11487,12598,13397,3518,10645,10742,10821,10895,10959,11034,11081,11084,11115,11141,11177,11215,11254,12040,12085,12211,12266,12286,12289,12292,12295,12473,12487,12490,12493,12496,12578,12642,12761,12811,13096,13119,13178,13200,13211,13216,13219,13223,13226,13259,13270,13335,13363,13366,3519,10727,10964,11055,11180,11822,12116,12119,12130,12217,12228,12247,12252,12298,12321,12338,13110,13263,13283,13325,13330,13353,13358,3520,12505,12508,3594,12448,13175,13230,13234,13238,13242,13252,13256,4695,10564,10593,11099,11144,11153,12000,12021,12185,12188,12191,12194,12282,12301,12304,12317,12371,12374,12377,12380,12546,12549,12645,12648,12754,12794,12882,3669,10824,10915,11188,11232,11466,11469,11548,11630,11807,12693,12885,13307,4706,11108,11118,11224,11245,11248,11315,11318,11329,11432,11442,11454,11490,11507,11516,11556,11597,11602,11605,11624,11627,11664,11669,11672,11675,11678,11922,12064,12097,12365,12368,12402,12449,12476,12623,12667,12673,12773,12776,12798,12859,12865,12876,12892,13174,13194,13197,13294,13380,13425,13444,13447,13493,13513,13547,3579,10946,10976,10979,10988,10991,11577,12795,12812,13156,13160,13163,13166,3618,13477,13539,3611,4030,3969,10596,11975,12003,13137,4703,10544,10934,10937,11435,11451,11938,11991,12025,12148,12173,12176,12179,12182,12444,13369,3539,10982,11138,11208,12004,12147,12343,12554,12579,13187,13484,13567,3993,12094,13090,4327,3728,4700,4004,4038,4687,4689,4691,3495,3499,4690,3497,4688,4450,4494,3825,11968,12051,4421,11829,4716,10845,10848,4721,11321,11324,11510,11621,11638,11684,4112,11681,12024,12028,12704,12712,12804,13311,13375,13406,3959,11251,11257,11275,12263,12395,12479,12769,12801,3809,11391,11513,12511,12620,12630,12709,12764,12772,12889,13318,4284,3961,10985,11354,11519,11553,11564,12708,12758,13417,3670,3776,10898,10901,10994,11164,3777,3778,4719,11969,4715,13058,4720,10735,10851,12573,12582,12626,12829,4382,11121,12591,12606,12629,4290,3992,12895,3937,3938,4717,10569,10572,10940,10943,11843,12029,12841,4718,11949,12034,3962,10904,11170,13467,4221,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497,6499,6505,6510,6544,6545,6548,6549,6550,6552,6553,6554,6555,6564,6597,6598,6607,6629,6630,6652,6654,6666,6667,6673,6703,6705,6720,6758,6761,6762,6820,6843,6888,6903,6910,6919,6920,6921,6922,6941,6942,6949,6961,6964,6966,6967,6968,6970,6972,6986,6997,6998,6999,7013,7070,7081,7083,7087,7106,7107,7142,7149,7154,7185,7215,7272,7301,7359,7380,7390,7394,7454,7464,7524,7526,7540,7549,7550,7551,7569,7573,7575,7620,7630,7633,7648,7695,7697,7700,7743,7744,7762,7832,7850,7875,7898,7910,7924,7935,7946,7947,7973,7975,7977,7986,8025,8037,8062,8089,8122,8154,8188,8227,8243,8245,8261,8262,8330,8341,8408,8432,8451,8478,8517,8518,8536,8575,8577,8579,8586,8601,8605,8620,8643,8651,8653,8663,8668,8672,8673,8674,8675,8676,8677,8699,8713,8714,8732,8733,8738,8739,8740,8741,8742,8760,8761,8762,8773,8786,8789,8800,8805,8807,8809,8810,8811,8818,8824,8832,8835,8852,8853,8862,8863,8871,8890,8903,8907,8928,8950,8951,8954,8955,8961,8971,8972,8995,9006,9016,9017,9018,9021,9044,9045,9056,9108,9118,9120,9136,9148,9149,9150,9161,9227,9258,9259,9260,9275,9292,9300,9328,9329,9400,9433,9439,9449,9450,9451,9461,9490,9506,9510,9514,9537,9538,9565,9630,9635,9638,9671,9672,9673,9697,9698,9714,9735,9741,9753,9778,9799,9808,9809,9810,9811,9827,9829,9834,9864,9865,9871,9872,9918,9919,9930,9931,9955,9974,9976,9977,9986,9991,10000,10025,10059,10061,10065,10115,10149,10159,10161,10165,10166,10168,10177,10178,10198,10203,10297,10384,10385,10386,10387,10449,10468,2,8,9,4746,4747,4765,4807,4808,4810,4833,4835,4836,4846,4891,4893,4941,5071,5072,5086,5110,5165,5166,5172,5173,5175,5177,5186,5189,5190,5198,5211,5212,5218,5239,5240,5261,5266,5267,5268,5269,5273,5281,5284,5292,5293,5294,5350,5355,5356,5361,5367,5397,5407,5412,5422,5440,5441,5448,5449,5451,5462,5480,5482,5483,5490,5497,5498,5510,5511,5512,5513,5515,5516,5521,5522,5523,5524,5554,5555,5556,5564,5565,5566,5567,5610,5615,5617,5653,5655,5656,5658,5659,5661,5662,5664,5673,5678,5679,5680,5682,5684,5685,5686,5687,5688,5689,5698,5708,5711,5722,5738,5739,5742,5753,5756,5757,5758,5785,5795,5811,5812,5821,5822,5824,5826,5831,5866,5871,5873,5932,5967,5968,5973,5979,5982,5983,5984,5985,6005,6010,6011,6020,6042,6075,6094,6095,6099,6100,6102,6125,6129,6132,6133,6134,6150,6165,6166,6198,6199,6203,6224,6227,6230,6252,6253,6281,6284,6293,6303,6311,6315,6323,6324,6325,6326,6358,6376,6428,6465,6467,6468,6490,6491,6498,6502,6503,6506,6521,6536,6557,6558,6565,6575,6590,6610,6617,6619,6634,6635,6638,6639,6641,6643,6644,6645,6647,6649,6653,6659,6660,6662,6663,6669,6671,6713,6719,6734,6737,6738,6739,6776,6781,6783,6788,6789,6799,6802,6815,6838,6839,6841,6842,6854,6860,6880,6883,6904,6923,6932,6935,6936,6937,6943,6957,6976,6978,6980,6982,6987,6993,6995,7010,7015,7016,7055,7056,7057,7072,7073,7075,7076,7097,7098,7113,7140,7162,7174,7176,7178,7180,7181,7212,7213,7214,7218,7219,7226,7227,7229,7231,7253,7263,7264,7275,7285,7325,7336,7342,7349,7360,7365,7367,7374,7383,7384,7398,7415,7436,7438,7457,7510,7511,7512,7514,7516,7520,7525,7588,7616,7631,7647,7678,7681,7688,7703,7727,7745,7748,7749,7759,7779,7781,7783,7785,7786,7787,7788,7789,7814,7840,7841,7874,7876,7877,7878,7883,7904,7921,7926,7932,7934,7942,7954,7955,7957,7978,7984,8006,8075,8076,8077,8125,8132,8133,8156,8157,8174,8175,8176,8234,8235,8264,8294,8304,8318,8333,8364,8368,8374,8386,8404,8409,8431,8476,8505,8519,8539,8542,8568,8595,8654,8655,8658,8659,8730,8764,8765,8766,8767,8795,8827,8856,8864,8865,8906,8927,8973,8989,9035,9038,9053,9060,9105,9144,9145,9163,9164,9178,9297,9302,9306,9326,9337,9362,9364,9367,9373,9375,9376,9386,9387,9407,9415,9425,9432,9475,9494,9515,9550,9551,9557,9596,9622,9627,9667,9677,9680,9681,9683,9684,9696,9719,9734,9743,9744,9746,9748,9777,9899,9900,9950,9951,9992,10030,10140,10207,10358,10376,10381,3,2846,2854,2855,2856,2857,2858,2859,2860,2864,2871,2872,2874,2875,2876,2893,2894,2895,2900,2903,2904,2905,2907,2908,2911,2912,2913,2915,2916,2920,2938,2939,2940,2941,2942,2945,2946,2947,2948,2949,2957,2958,2959,2967,2968,2978,2979,2981,2982,2994,2995,3001,3003,3005,3008,3009,3011,3012,3013,3017,3020,3021,3022,3032,3033,3034,3035,3036,3041,3044,3045,3048,3049,3050,3076,3078,3080,3081,3083,3084,3088,3089,3092,5349,5439,5479,5626,5627,5628,5709,5810,5840,5874,5890,5892,5898,5960,5961,5962,5963,5971,6007,6145,6187,6197,6221,6256,6294,6444,6449,6488,6489,6511,6514,6516,6523,6524,6525,6526,6527,6528,6529,6530,6612,6683,6684,6775,6810,6811,6851,6852,6994,7009,7067,7084,7085,7092,7114,7138,7146,7148,7195,7216,7217,7235,7236,7274,7319,7320,7382,7422,7491,7492,7493,7494,7509,7541,7593,7594,7602,7607,7608,7619,7650,7651,7652,7653,7796,7798,7799,7800,7806,7807,8012,8015,8021,8022,8031,8034,8072,8073,8152,8193,8247,8269,8270,8349,8444,8515,8516,8520,8554,8591,8616,8617,8686,8706,8707,8708,8709,8860,9098,9122,9123,9193,9207,9261,9262,9381,9383,9418,9444,9477,9520,9717,9841,9987,10176,10232,10234,10464,5291,6043,6595,6596,6686,6706,6707,6763,6764,7137,7358,8781,9029,9218,9219,9288,9289,9472,9568,9569,9570,9571,9780,10053,10067,10435,10436,6668,8608,8609,9086,9106,10054,10434,4771,4780,4812,4813,4816,4858,4862,4867,4908,5005,5020,5052,5053,5084,5143,5146,5205,5343,5382,5383,5385,5392,5393,5417,5456,5487,5509,5642,5714,5715,5716,5778,5836,5837,5863,5867,5926,5928,5937,5943,6024,6109,6263,6319,6431,6556,6717,6929,7190])).
% 203.03/202.87 cnf(13704,plain,
% 203.03/202.87 (~P25(x137041,x137042,f318(f66(x137043,x137042,x137041,f183(x137044,x137045)),f318(f142(x137046),x137047)),f233(f927(x137041,a918)))),
% 203.03/202.87 inference(scs_inference,[],[3562,4170,12791,12816,12955,12957,12959,3753,11406,12459,12564,12567,12659,12701,12705,12713,12785,12902,12904,13376,13385,13390,13394,13400,13403,13430,13451,13544,13549,3762,12531,13028,13030,3769,3488,12924,12926,12928,3489,12988,3455,12870,4681,4682,12048,4443,12994,3492,13024,3330,3386,12947,3387,13001,3388,3389,3390,12741,12983,4680,3811,4661,10484,10494,10507,10518,10521,10625,10628,10631,10732,10870,11183,11376,11379,11398,11401,11594,11695,11702,11716,11762,11765,11787,11804,11819,11882,11939,11955,12242,12267,12283,12312,12318,12412,12527,12694,12755,12898,13191,13460,13464,3574,3537,13007,3721,12214,3439,4667,10716,10816,11286,11386,13120,13488,4673,3127,3128,3130,3131,3134,3135,3137,3138,3139,3141,3145,3146,3150,3151,3153,3154,3155,3156,3165,3166,3171,3175,3176,3177,3180,3188,3190,3199,3202,3210,3213,3219,3231,3235,3237,3238,3243,3244,3245,3257,3265,3266,3270,3271,3273,3274,3277,3278,3282,3283,3289,3299,3309,3409,3410,4658,3313,3385,4659,3851,4076,11986,3363,11692,3500,3476,3479,10556,10559,10652,10655,10973,11707,11710,11830,11869,11874,11981,12433,12635,12848,12900,12914,12916,12918,12930,12937,12945,13005,13011,13013,13246,13421,13548,13553,13569,3450,12726,12730,12734,3456,3465,3971,4272,3433,13308,3585,12788,12873,3352,3353,3715,4062,11738,3573,3416,3349,3376,3830,3372,3571,4179,4070,3893,3359,3340,3983,3396,3575,11133,11260,12528,12745,3449,4144,4675,10547,10713,11591,11790,12686,12727,12731,4678,12698,3509,12067,12070,13342,13441,13514,13518,13522,13526,4102,4704,11312,11411,11647,11650,3484,3912,3506,3622,3836,3614,4684,12683,3589,12953,12972,12974,3413,3414,10617,10949,4693,3674,3404,3331,3435,11728,4286,12716,12860,4146,11332,11463,11522,12670,12676,12805,12808,12838,4722,11235,11476,11585,11611,11655,11661,12614,4723,11365,11479,11588,4724,11482,11533,4725,11540,4726,3434,3713,12570,12611,12697,3877,3662,12682,4557,4558,3697,3734,4672,11721,3855,3812,3857,4026,3782,13229,13233,13237,13241,13251,4072,12561,3699,3954,3586,10636,10755,10836,10909,10912,10952,11052,11302,11916,12238,12305,12383,12424,12499,12502,12842,13103,13142,13145,13190,13208,13463,13468,3964,11972,3502,3598,11803,12082,13568,3775,4699,10524,10527,10553,10676,10854,11060,11075,11193,11633,11731,11915,12133,12138,12359,12362,12445,12617,12720,13049,13068,13071,13095,13146,13324,13329,13352,13357,4710,11846,11877,11912,11919,11952,13155,13159,3951,3722,3723,13074,13077,13080,13083,13113,13116,13496,13500,13504,4094,3687,13497,3688,13501,3546,3547,3521,4696,3412,4669,3903,4208,3706,4711,4279,11608,3835,3557,12088,12091,12535,12639,12819,4702,10512,10515,10684,10779,10798,10805,10831,10839,10842,10859,11045,11289,11502,11797,11891,12037,12151,12154,4248,4207,12585,4155,11130,12231,12418,12595,12744,13517,4197,13521,4202,11335,12456,12534,12594,12638,13345,4203,3878,11923,12241,12390,12464,12518,4236,3895,10679,10776,11338,11416,11495,11559,12411,12415,12480,12750,12815,12835,12845,13315,13384,13389,13412,13433,13450,4714,11078,11487,12598,13397,3518,10645,10742,10821,10895,10959,11034,11081,11084,11115,11141,11177,11215,11254,12040,12085,12211,12266,12286,12289,12292,12295,12473,12487,12490,12493,12496,12578,12642,12761,12811,13096,13119,13178,13200,13211,13216,13219,13223,13226,13259,13270,13335,13363,13366,3519,10727,10964,11055,11180,11822,12116,12119,12130,12217,12228,12247,12252,12298,12321,12338,13110,13263,13283,13325,13330,13353,13358,3520,12505,12508,3594,12448,13175,13230,13234,13238,13242,13252,13256,4695,10564,10593,11099,11144,11153,12000,12021,12185,12188,12191,12194,12282,12301,12304,12317,12371,12374,12377,12380,12546,12549,12645,12648,12754,12794,12882,3669,10824,10915,11188,11232,11466,11469,11548,11630,11807,12693,12885,13307,4706,11108,11118,11224,11245,11248,11315,11318,11329,11432,11442,11454,11490,11507,11516,11556,11597,11602,11605,11624,11627,11664,11669,11672,11675,11678,11922,12064,12097,12365,12368,12402,12449,12476,12623,12667,12673,12773,12776,12798,12859,12865,12876,12892,13174,13194,13197,13294,13380,13425,13444,13447,13493,13513,13547,3579,10946,10976,10979,10988,10991,11577,12795,12812,13156,13160,13163,13166,3618,13477,13539,3611,4030,3969,10596,11975,12003,13137,4703,10544,10934,10937,11435,11451,11938,11991,12025,12148,12173,12176,12179,12182,12444,13369,3539,10982,11138,11208,12004,12147,12343,12554,12579,13187,13484,13567,3993,12094,13090,4327,3728,4700,4004,4038,4687,4689,4691,3495,3499,4690,3497,4688,4450,4494,3825,11968,12051,4421,11829,4716,10845,10848,4721,11321,11324,11510,11621,11638,11684,4112,11681,12024,12028,12704,12712,12804,13311,13375,13406,3959,11251,11257,11275,12263,12395,12479,12769,12801,3809,11391,11513,12511,12620,12630,12709,12764,12772,12889,13318,4284,3961,10985,11354,11519,11553,11564,12708,12758,13417,3670,3776,10898,10901,10994,11164,3777,3778,4719,11969,4715,13058,4720,10735,10851,12573,12582,12626,12829,4382,11121,12591,12606,12629,4290,3992,12895,3937,3938,4717,10569,10572,10940,10943,11843,12029,12841,4718,11949,12034,3962,10904,11170,13467,4221,4733,4759,4814,4818,4842,4857,4864,4866,4902,4907,4936,4942,5028,5054,5055,5070,5092,5121,5122,5144,5145,5159,5162,5187,5193,5209,5213,5214,5215,5220,5221,5246,5272,5274,5275,5285,5290,5299,5335,5336,5344,5353,5357,5359,5373,5375,5381,5386,5387,5400,5406,5409,5410,5414,5442,5457,5466,5468,5469,5472,5473,5474,5484,5486,5492,5493,5494,5500,5504,5505,5506,5514,5518,5519,5525,5538,5546,5558,5560,5568,5570,5571,5574,5578,5604,5618,5619,5634,5646,5668,5674,5696,5697,5700,5719,5727,5728,5733,5734,5744,5746,5760,5764,5773,5774,5776,5777,5793,5798,5808,5809,5820,5827,5841,5845,5848,5854,5855,5856,5859,5864,5900,5901,5904,5906,5908,5910,5911,5912,5914,5916,5918,5923,5930,5945,5959,5965,5966,5969,5980,5981,5988,5993,5995,6000,6008,6009,6047,6062,6071,6074,6083,6087,6088,6089,6090,6091,6096,6101,6111,6117,6135,6139,6148,6181,6196,6222,6239,6240,6243,6258,6260,6262,6264,6279,6280,6283,6285,6288,6289,6304,6312,6313,6314,6316,6318,6355,6356,6361,6364,6371,6375,6409,6411,6413,6415,6424,6426,6429,6435,6437,6442,6445,6453,6461,6463,6464,6471,6493,6494,6495,6496,6497,6499,6505,6510,6544,6545,6548,6549,6550,6552,6553,6554,6555,6564,6597,6598,6607,6629,6630,6652,6654,6666,6667,6673,6703,6705,6720,6758,6761,6762,6820,6843,6888,6903,6910,6919,6920,6921,6922,6941,6942,6949,6961,6964,6966,6967,6968,6970,6972,6986,6997,6998,6999,7013,7070,7081,7083,7087,7106,7107,7142,7149,7154,7185,7215,7272,7301,7359,7380,7390,7394,7454,7464,7524,7526,7540,7549,7550,7551,7569,7573,7575,7620,7630,7633,7648,7695,7697,7700,7743,7744,7762,7832,7850,7875,7898,7910,7924,7935,7946,7947,7973,7975,7977,7986,8025,8037,8062,8089,8122,8154,8188,8227,8243,8245,8261,8262,8330,8341,8408,8432,8451,8478,8517,8518,8536,8575,8577,8579,8586,8601,8605,8620,8643,8651,8653,8663,8668,8672,8673,8674,8675,8676,8677,8699,8713,8714,8732,8733,8738,8739,8740,8741,8742,8760,8761,8762,8773,8786,8789,8800,8805,8807,8809,8810,8811,8818,8824,8832,8835,8852,8853,8862,8863,8871,8890,8903,8907,8928,8950,8951,8954,8955,8961,8971,8972,8995,9006,9016,9017,9018,9021,9044,9045,9056,9108,9118,9120,9136,9148,9149,9150,9161,9227,9258,9259,9260,9275,9292,9300,9328,9329,9400,9433,9439,9449,9450,9451,9461,9490,9506,9510,9514,9537,9538,9565,9630,9635,9638,9671,9672,9673,9697,9698,9714,9735,9741,9753,9778,9799,9808,9809,9810,9811,9827,9829,9834,9864,9865,9871,9872,9918,9919,9930,9931,9955,9974,9976,9977,9986,9991,10000,10025,10059,10061,10065,10115,10149,10159,10161,10165,10166,10168,10177,10178,10198,10203,10297,10384,10385,10386,10387,10449,10468,2,8,9,4746,4747,4765,4807,4808,4810,4833,4835,4836,4846,4891,4893,4941,5071,5072,5086,5110,5165,5166,5172,5173,5175,5177,5186,5189,5190,5198,5211,5212,5218,5239,5240,5261,5266,5267,5268,5269,5273,5281,5284,5292,5293,5294,5350,5355,5356,5361,5367,5397,5407,5412,5422,5440,5441,5448,5449,5451,5462,5480,5482,5483,5490,5497,5498,5510,5511,5512,5513,5515,5516,5521,5522,5523,5524,5554,5555,5556,5564,5565,5566,5567,5610,5615,5617,5653,5655,5656,5658,5659,5661,5662,5664,5673,5678,5679,5680,5682,5684,5685,5686,5687,5688,5689,5698,5708,5711,5722,5738,5739,5742,5753,5756,5757,5758,5785,5795,5811,5812,5821,5822,5824,5826,5831,5866,5871,5873,5932,5967,5968,5973,5979,5982,5983,5984,5985,6005,6010,6011,6020,6042,6075,6094,6095,6099,6100,6102,6125,6129,6132,6133,6134,6150,6165,6166,6198,6199,6203,6224,6227,6230,6252,6253,6281,6284,6293,6303,6311,6315,6323,6324,6325,6326,6358,6376,6428,6465,6467,6468,6490,6491,6498,6502,6503,6506,6521,6536,6557,6558,6565,6575,6590,6610,6617,6619,6634,6635,6638,6639,6641,6643,6644,6645,6647,6649,6653,6659,6660,6662,6663,6669,6671,6713,6719,6734,6737,6738,6739,6776,6781,6783,6788,6789,6799,6802,6815,6838,6839,6841,6842,6854,6860,6880,6883,6904,6923,6932,6935,6936,6937,6943,6957,6976,6978,6980,6982,6987,6993,6995,7010,7015,7016,7055,7056,7057,7072,7073,7075,7076,7097,7098,7113,7140,7162,7174,7176,7178,7180,7181,7212,7213,7214,7218,7219,7226,7227,7229,7231,7253,7263,7264,7275,7285,7325,7336,7342,7349,7360,7365,7367,7374,7383,7384,7398,7415,7436,7438,7457,7510,7511,7512,7514,7516,7520,7525,7588,7616,7631,7647,7678,7681,7688,7703,7727,7745,7748,7749,7759,7779,7781,7783,7785,7786,7787,7788,7789,7814,7840,7841,7874,7876,7877,7878,7883,7904,7921,7926,7932,7934,7942,7954,7955,7957,7978,7984,8006,8075,8076,8077,8125,8132,8133,8156,8157,8174,8175,8176,8234,8235,8264,8294,8304,8318,8333,8364,8368,8374,8386,8404,8409,8431,8476,8505,8519,8539,8542,8568,8595,8654,8655,8658,8659,8730,8764,8765,8766,8767,8795,8827,8856,8864,8865,8906,8927,8973,8989,9035,9038,9053,9060,9105,9144,9145,9163,9164,9178,9297,9302,9306,9326,9337,9362,9364,9367,9373,9375,9376,9386,9387,9407,9415,9425,9432,9475,9494,9515,9550,9551,9557,9596,9622,9627,9667,9677,9680,9681,9683,9684,9696,9719,9734,9743,9744,9746,9748,9777,9899,9900,9950,9951,9992,10030,10140,10207,10358,10376,10381,3,2846,2854,2855,2856,2857,2858,2859,2860,2864,2871,2872,2874,2875,2876,2893,2894,2895,2900,2903,2904,2905,2907,2908,2911,2912,2913,2915,2916,2920,2938,2939,2940,2941,2942,2945,2946,2947,2948,2949,2957,2958,2959,2967,2968,2978,2979,2981,2982,2994,2995,3001,3003,3005,3008,3009,3011,3012,3013,3017,3020,3021,3022,3032,3033,3034,3035,3036,3041,3044,3045,3048,3049,3050,3076,3078,3080,3081,3083,3084,3088,3089,3092,5349,5439,5479,5626,5627,5628,5709,5810,5840,5874,5890,5892,5898,5960,5961,5962,5963,5971,6007,6145,6187,6197,6221,6256,6294,6444,6449,6488,6489,6511,6514,6516,6523,6524,6525,6526,6527,6528,6529,6530,6612,6683,6684,6775,6810,6811,6851,6852,6994,7009,7067,7084,7085,7092,7114,7138,7146,7148,7195,7216,7217,7235,7236,7274,7319,7320,7382,7422,7491,7492,7493,7494,7509,7541,7593,7594,7602,7607,7608,7619,7650,7651,7652,7653,7796,7798,7799,7800,7806,7807,8012,8015,8021,8022,8031,8034,8072,8073,8152,8193,8247,8269,8270,8349,8444,8515,8516,8520,8554,8591,8616,8617,8686,8706,8707,8708,8709,8860,9098,9122,9123,9193,9207,9261,9262,9381,9383,9418,9444,9477,9520,9717,9841,9987,10176,10232,10234,10464,5291,6043,6595,6596,6686,6706,6707,6763,6764,7137,7358,8781,9029,9218,9219,9288,9289,9472,9568,9569,9570,9571,9780,10053,10067,10435,10436,6668,8608,8609,9086,9106,10054,10434,4771,4780,4812,4813,4816,4858,4862,4867,4908,5005,5020,5052,5053,5084,5143,5146,5205,5343,5382,5383,5385,5392,5393,5417,5456,5487,5509,5642,5714,5715,5716,5778,5836,5837,5863,5867,5926,5928,5937,5943,6024,6109,6263,6319,6431,6556,6717,6929,7190,7286,7363,7595,7657,7990,7993,8124,8244,8250,8953,9084])).
% 203.03/202.87 cnf(13799,plain,
% 203.03/202.87 (~E(f318(f318(f142(x137991),x137992),x137993),f104(x137991))),
% 203.03/202.87 inference(rename_variables,[],[4678])).
% 203.03/202.87 cnf(13812,plain,
% 203.03/202.87 (P1(f318(f318(f225(f927(x138121,a918)),f179(f927(x138121,a918))),x138122))),
% 203.03/202.87 inference(rename_variables,[],[3961])).
% 203.03/202.87 cnf(13830,plain,
% 203.03/202.87 (~E(f318(f318(f142(x138301),x138302),x138303),x138303)),
% 203.03/202.87 inference(rename_variables,[],[4675])).
% 203.03/202.87 cnf(13841,plain,
% 203.03/202.87 (~P1(f318(f318(f225(a920),f318(f318(f74(a920),f318(a103,x138411)),f318(a103,x138411))),x138411))),
% 203.03/202.87 inference(rename_variables,[],[10993])).
% 203.03/202.87 cnf(13846,plain,
% 203.03/202.87 (P1(f318(f318(f225(a920),x138461),f318(f318(f73(a920),x138462),x138461)))),
% 203.03/202.87 inference(rename_variables,[],[3777])).
% 203.03/202.87 cnf(13851,plain,
% 203.03/202.87 (~P1(f318(f318(f179(f927(x138511,f927(x138512,a918))),x138513),x138514))),
% 203.03/202.87 inference(rename_variables,[],[4720])).
% 203.03/202.87 cnf(13856,plain,
% 203.03/202.87 (~P1(f318(f56(x138561,x138562,f179(f927(x138561,a918))),x138563))),
% 203.03/202.87 inference(rename_variables,[],[4716])).
% 203.03/202.87 cnf(13859,plain,
% 203.03/202.87 (P1(f318(f318(f226(a1),f318(f318(f3(a1),x138591),f71(a1))),x138591))),
% 203.03/202.87 inference(rename_variables,[],[11054])).
% 203.03/202.87 cnf(13867,plain,
% 203.03/202.87 (~P1(f318(f318(f320(a920),x138671),f318(f273(a920),f2(a920))))),
% 203.03/202.87 inference(rename_variables,[],[12113])).
% 203.03/202.87 cnf(13872,plain,
% 203.03/202.87 (~P1(f318(f318(f320(x138721),x138722),f179(f927(x138721,a918))))),
% 203.03/202.87 inference(rename_variables,[],[4706])).
% 203.03/202.87 cnf(13881,plain,
% 203.03/202.87 (E(f318(x138811,f318(f84(x138812,x138813,f233(f927(x138812,a918)),x138811),f318(x138811,x138814))),f318(x138811,x138814))),
% 203.03/202.87 inference(rename_variables,[],[11388])).
% 203.03/202.87 cnf(13886,plain,
% 203.03/202.87 (P1(f318(f318(f278(a920),x138861),x138861))),
% 203.03/202.87 inference(rename_variables,[],[3520])).
% 203.03/202.87 cnf(13896,plain,
% 203.03/202.87 (P36(x138961,x138962,x138963,f318(f318(f145(x138964,x138961),x138965),f105(x138964,f104(x138964))),f104(x138962))),
% 203.03/202.87 inference(rename_variables,[],[11528])).
% 203.03/202.87 cnf(13901,plain,
% 203.03/202.87 (~E(f318(f318(f142(x139011),x139012),x139013),x139013)),
% 203.03/202.87 inference(rename_variables,[],[4675])).
% 203.03/202.87 cnf(13912,plain,
% 203.03/202.87 (~P1(f318(f318(f320(f926(x139121,x139121)),x139122),f254(x139121,f179(f927(x139121,a918)))))),
% 203.03/202.87 inference(rename_variables,[],[11244])).
% 203.03/202.87 cnf(13919,plain,
% 203.03/202.87 (~P1(f318(f318(f226(a920),x139191),x139191))),
% 203.03/202.87 inference(rename_variables,[],[4695])).
% 203.03/202.87 cnf(13922,plain,
% 203.03/202.87 (~P1(f318(f318(f320(a920),x139221),f318(f273(a920),f2(a920))))),
% 203.03/202.87 inference(rename_variables,[],[12113])).
% 203.03/202.87 cnf(13925,plain,
% 203.03/202.87 (E(f318(x139251,f318(f84(x139252,x139253,f233(f927(x139252,a918)),x139251),f318(x139251,x139254))),f318(x139251,x139254))),
% 203.03/202.87 inference(rename_variables,[],[11388])).
% 203.03/202.87 cnf(13933,plain,
% 203.03/202.87 (E(f318(f275(x139331,x139331),f254(x139331,x139332)),x139332)),
% 203.03/202.87 inference(rename_variables,[],[3479])).
% 203.03/202.87 cnf(13938,plain,
% 203.03/202.87 (P1(f318(f318(f225(a920),x139381),f318(f318(f73(a920),x139382),x139381)))),
% 203.03/202.87 inference(rename_variables,[],[3777])).
% 203.03/202.87 cnf(13948,plain,
% 203.03/202.87 (~P1(f318(f318(f320(f926(f921(x139481),f921(x139481))),f318(f318(f243(f921(x139481),f921(x139481)),x139482),f104(x139481))),f136(x139481,x139483)))),
% 203.03/202.87 inference(rename_variables,[],[4722])).
% 203.03/202.87 cnf(13952,plain,
% 203.03/202.87 (P1(f318(f318(f225(a920),x139521),f318(f318(f74(a920),x139521),x139521)))),
% 203.03/202.87 inference(rename_variables,[],[3776])).
% 203.03/202.87 cnf(13955,plain,
% 203.03/202.87 (P1(f318(f318(f225(f927(x139551,a918)),x139552),f318(f318(f300(x139551),x139553),x139552)))),
% 203.03/202.87 inference(rename_variables,[],[3959])).
% 203.03/202.87 cnf(13960,plain,
% 203.03/202.87 (E(f318(f275(x139601,x139601),f254(x139601,x139602)),x139602)),
% 203.03/202.87 inference(rename_variables,[],[3479])).
% 203.03/202.87 cnf(13963,plain,
% 203.03/202.87 (P1(f318(f318(f320(x139631),f318(x139632,x139633)),f318(f301(x139634,x139631,x139632),f233(f927(x139634,a918)))))),
% 203.03/202.87 inference(rename_variables,[],[4112])).
% 203.03/202.87 cnf(13972,plain,
% 203.03/202.87 (~P1(f318(f318(f320(x139721),x139722),f318(f302(x139721,x139723,x139724),f179(f927(x139723,a918)))))),
% 203.03/202.87 inference(rename_variables,[],[11247])).
% 203.03/202.87 cnf(13975,plain,
% 203.03/202.87 (~E(f318(f318(f142(x139751),x139752),x139753),f104(x139751))),
% 203.03/202.87 inference(rename_variables,[],[4678])).
% 203.03/202.87 cnf(13980,plain,
% 203.03/202.87 (~E(f318(f318(f142(x139801),x139802),x139803),x139803)),
% 203.03/202.87 inference(rename_variables,[],[4675])).
% 203.03/202.87 cnf(13990,plain,
% 203.03/202.87 (P1(f318(f318(f320(x139901),f318(x139902,x139903)),f318(f301(x139904,x139901,x139902),f233(f927(x139904,a918)))))),
% 203.03/202.87 inference(rename_variables,[],[4112])).
% 203.03/202.87 cnf(13993,plain,
% 203.03/202.87 (P1(f318(f318(f225(f927(x139931,a918)),f318(f163(x139931),f167(x139931,x139932,x139933))),f318(f163(x139931),x139932)))),
% 203.03/202.87 inference(rename_variables,[],[4202])).
% 203.03/202.87 cnf(13996,plain,
% 203.03/202.87 (E(f318(x139961,f318(f84(x139962,x139963,f233(f927(x139962,a918)),x139961),f318(x139961,x139964))),f318(x139961,x139964))),
% 203.03/202.87 inference(rename_variables,[],[11388])).
% 203.03/202.87 cnf(14001,plain,
% 203.03/202.87 (~P1(f318(f318(f226(a920),f318(f318(f73(a920),x140011),x140012)),x140011))),
% 203.03/202.87 inference(rename_variables,[],[4718])).
% 203.03/202.87 cnf(14010,plain,
% 203.03/202.87 (~P1(f318(f318(f225(a920),f318(a103,x140101)),x140101))),
% 203.03/202.87 inference(rename_variables,[],[4703])).
% 203.03/202.87 cnf(14013,plain,
% 203.03/202.87 (~P1(f318(f318(f225(a920),f318(f318(f74(a920),f318(a103,x140131)),f318(a103,x140131))),x140131))),
% 203.03/202.87 inference(rename_variables,[],[10993])).
% 203.03/202.87 cnf(14022,plain,
% 203.03/202.87 (~P1(f318(f56(x140221,x140222,f179(f927(x140221,a918))),x140223))),
% 203.03/202.87 inference(rename_variables,[],[4716])).
% 203.03/202.87 cnf(14025,plain,
% 203.03/202.87 (P1(f318(f318(f225(a1),x140251),x140251))),
% 203.03/202.87 inference(rename_variables,[],[3519])).
% 203.03/202.87 cnf(14030,plain,
% 203.03/202.87 (~P1(f318(f318(f320(x140301),x140302),f318(f302(x140301,x140303,x140304),f179(f927(x140303,a918)))))),
% 203.03/202.87 inference(rename_variables,[],[11247])).
% 203.03/202.87 cnf(14033,plain,
% 203.03/202.87 (P1(f318(f318(f225(f927(x140331,a918)),f318(f276(x140332,x140331,x140333),f179(f927(x140332,a918)))),x140334))),
% 203.03/202.87 inference(rename_variables,[],[11563])).
% 203.03/202.87 cnf(14036,plain,
% 203.03/202.87 (E(f318(f318(f125(x140361),x140362),f104(x140361)),x140362)),
% 203.03/202.87 inference(rename_variables,[],[3450])).
% 203.03/202.87 cnf(14049,plain,
% 203.03/202.87 (P1(f318(f318(f225(a920),x140491),f318(f318(f73(a920),x140492),x140491)))),
% 203.03/202.87 inference(rename_variables,[],[3777])).
% 203.03/202.87 cnf(14058,plain,
% 203.03/202.87 (P1(f318(f318(f320(x140581),f318(x140582,x140583)),f318(f301(x140584,x140581,x140582),f233(f927(x140584,a918)))))),
% 203.03/202.87 inference(rename_variables,[],[4112])).
% 203.03/202.87 cnf(14061,plain,
% 203.03/202.87 (P1(f318(f318(f225(a920),x140611),f318(f318(f73(a920),x140612),x140611)))),
% 203.03/202.87 inference(rename_variables,[],[3777])).
% 203.03/202.87 cnf(14072,plain,
% 203.03/202.87 (E(f318(x140721,f318(f84(x140722,x140723,f233(f927(x140722,a918)),x140721),f318(x140721,x140724))),f318(x140721,x140724))),
% 203.03/202.87 inference(rename_variables,[],[11388])).
% 203.03/202.87 cnf(14075,plain,
% 203.03/202.87 (P1(f318(f318(f320(x140751),f318(x140752,x140753)),f318(f301(x140754,x140751,x140752),f233(f927(x140754,a918)))))),
% 203.03/202.87 inference(rename_variables,[],[4112])).
% 203.03/202.87 cnf(14078,plain,
% 203.03/202.87 (P1(f318(f318(f320(x140781),f318(x140782,x140783)),f318(f301(x140784,x140781,x140782),f233(f927(x140784,a918)))))),
% 203.03/202.87 inference(rename_variables,[],[4112])).
% 203.03/202.87 cnf(14081,plain,
% 203.03/202.87 (~P1(f318(f318(f320(f926(x140811,x140811)),x140812),f254(x140811,f179(f927(x140811,a918)))))),
% 203.03/202.87 inference(rename_variables,[],[11244])).
% 203.03/202.87 cnf(14084,plain,
% 203.03/202.87 (P1(f318(f318(f225(f927(x140841,a918)),f318(f163(x140841),f167(x140841,x140842,x140843))),f318(f163(x140841),x140842)))),
% 203.03/202.87 inference(rename_variables,[],[4202])).
% 203.03/202.87 cnf(14109,plain,
% 203.03/202.87 (P1(f318(f318(f225(a920),f2(a920)),x141091))),
% 203.03/202.87 inference(rename_variables,[],[3539])).
% 203.03/202.87 cnf(14114,plain,
% 203.03/202.87 (P1(f318(f318(f226(a920),x141141),f318(a103,f318(f318(f73(a920),x141142),x141141))))),
% 203.03/202.87 inference(rename_variables,[],[3962])).
% 203.03/202.87 cnf(14119,plain,
% 203.03/202.87 (~P1(f318(f318(f226(a920),x141191),x141191))),
% 203.03/202.87 inference(rename_variables,[],[4695])).
% 203.03/202.87 cnf(14126,plain,
% 203.03/202.87 (P1(f318(f318(f225(a920),x141261),f318(f318(f74(a920),x141261),x141261)))),
% 203.03/202.87 inference(rename_variables,[],[3776])).
% 203.03/202.87 cnf(14140,plain,
% 203.03/202.87 (P1(f318(f318(f226(a1),f318(f318(f3(a1),x141401),f71(a1))),x141401))),
% 203.03/202.87 inference(rename_variables,[],[11054])).
% 203.03/202.87 cnf(14147,plain,
% 203.03/202.87 (~P1(f318(f318(f320(f926(x141471,x141471)),x141472),f254(x141471,f179(f927(x141471,a918)))))),
% 203.03/202.87 inference(rename_variables,[],[11244])).
% 203.03/202.87 cnf(14154,plain,
% 203.03/202.87 (P1(f318(f318(f320(x141541),f318(x141542,x141543)),f318(f301(x141544,x141541,x141542),f233(f927(x141544,a918)))))),
% 203.03/202.87 inference(rename_variables,[],[4112])).
% 203.03/202.87 cnf(14159,plain,
% 203.03/202.87 (P1(f318(f318(f278(a920),x141591),x141591))),
% 203.03/202.87 inference(rename_variables,[],[3520])).
% 203.03/202.87 cnf(14167,plain,
% 203.03/202.87 (~E(f318(f318(f142(x141671),x141672),x141673),x141673)),
% 203.03/202.87 inference(rename_variables,[],[4675])).
% 203.03/202.87 cnf(14177,plain,
% 203.03/202.87 (E(f318(x141771,f318(f84(x141772,x141773,f233(f927(x141772,a918)),x141771),f318(x141771,x141774))),f318(x141771,x141774))),
% 203.03/202.87 inference(rename_variables,[],[11388])).
% 203.03/202.87 cnf(14180,plain,
% 203.03/202.87 (~P1(f318(f318(f320(x141801),x141802),f179(f927(x141801,a918))))),
% 203.03/202.87 inference(rename_variables,[],[4706])).
% 203.03/202.87 cnf(14190,plain,
% 203.03/202.87 (~E(f318(f318(f142(x141901),x141902),x141903),x141903)),
% 203.03/202.87 inference(rename_variables,[],[4675])).
% 203.03/202.87 cnf(14195,plain,
% 203.03/202.87 (~P1(f318(f318(f320(x141951),x141952),f179(f927(x141951,a918))))),
% 203.03/202.87 inference(rename_variables,[],[4706])).
% 203.03/202.87 cnf(14198,plain,
% 203.03/202.87 (P1(f318(f318(f225(a920),f2(a920)),x141981))),
% 203.03/202.87 inference(rename_variables,[],[3539])).
% 203.03/202.87 cnf(14201,plain,
% 203.03/202.87 (E(f318(x142011,f318(f84(x142012,x142013,f233(f927(x142012,a918)),x142011),f318(x142011,x142014))),f318(x142011,x142014))),
% 203.03/202.87 inference(rename_variables,[],[11388])).
% 203.03/202.87 cnf(14210,plain,
% 203.03/202.87 (P1(f318(f318(f226(a920),x142101),f318(f318(f74(a920),f318(a103,x142101)),f318(a103,x142101))))),
% 203.03/202.87 inference(rename_variables,[],[10900])).
% 203.03/202.87 cnf(14226,plain,
% 203.03/202.87 (P1(f318(f318(f225(a920),x142261),f318(f318(f74(a920),x142261),x142261)))),
% 203.03/202.87 inference(rename_variables,[],[3776])).
% 203.03/202.87 cnf(14233,plain,
% 203.03/202.87 (P1(f318(f318(f225(f927(x142331,a918)),x142332),x142332))),
% 203.03/202.87 inference(rename_variables,[],[3809])).
% 203.03/202.87 cnf(14245,plain,
% 203.03/202.87 (P1(f318(f318(f278(a920),x142451),x142451))),
% 203.03/202.87 inference(rename_variables,[],[3520])).
% 203.03/202.87 cnf(14250,plain,
% 203.03/202.87 (P1(f318(f318(f225(f927(x142501,a918)),f318(f163(x142501),f167(x142501,x142502,x142503))),f318(f163(x142501),x142502)))),
% 203.03/202.87 inference(rename_variables,[],[4202])).
% 203.03/202.87 cnf(14253,plain,
% 203.03/202.87 (E(f318(f275(x142531,x142531),f254(x142531,x142532)),x142532)),
% 203.03/202.87 inference(rename_variables,[],[3479])).
% 203.03/202.87 cnf(14266,plain,
% 203.03/202.87 (~P1(f318(f318(f320(f926(x142661,x142661)),x142662),f254(x142661,f179(f927(x142661,a918)))))),
% 203.03/202.87 inference(rename_variables,[],[11244])).
% 203.03/202.87 cnf(14278,plain,
% 203.03/202.87 (E(f318(f318(f125(x142781),x142782),f104(x142781)),x142782)),
% 203.03/202.87 inference(rename_variables,[],[3450])).
% 203.03/202.87 cnf(14283,plain,
% 203.03/202.87 (~P1(f318(f318(f225(a920),f318(f318(f74(a920),f318(a103,x142831)),f318(a103,x142831))),x142831))),
% 203.03/202.87 inference(rename_variables,[],[10993])).
% 203.03/202.87 cnf(14290,plain,
% 203.03/202.87 (~E(f318(f318(f142(x142901),x142902),x142903),x142903)),
% 203.03/202.87 inference(rename_variables,[],[4675])).
% 203.03/202.87 cnf(14303,plain,
% 203.03/202.87 (~P1(f318(f318(f320(x143031),x143032),f179(f927(x143031,a918))))),
% 203.03/202.87 inference(rename_variables,[],[4706])).
% 203.03/202.87 cnf(14306,plain,
% 203.03/202.87 (E(f318(x143061,f318(f84(x143062,x143063,f233(f927(x143062,a918)),x143061),f318(x143061,x143064))),f318(x143061,x143064))),
% 203.03/202.87 inference(rename_variables,[],[11388])).
% 203.03/202.87 cnf(14314,plain,
% 203.03/202.87 (~P1(f318(f318(f320(a920),x143141),f318(f273(a920),f2(a920))))),
% 203.03/202.87 inference(rename_variables,[],[12113])).
% 203.03/202.87 cnf(14324,plain,
% 203.03/202.87 (~P36(x143241,x143242,x143243,f318(f318(f145(x143244,x143241),x143245),f318(a103,f104(x143244))),f104(x143242))),
% 203.03/202.87 inference(rename_variables,[],[11524])).
% 203.03/202.87 cnf(14343,plain,
% 203.03/202.87 (~P1(f318(f318(f320(f926(f921(x143431),f921(x143431))),f318(f318(f243(f921(x143431),f921(x143431)),x143432),f104(x143431))),f148(x143431,x143433)))),
% 203.03/202.87 inference(rename_variables,[],[4724])).
% 203.03/202.87 cnf(14356,plain,
% 203.03/202.87 (~P1(f318(f318(f320(f926(x143561,x143561)),x143562),f254(x143561,f179(f927(x143561,a918)))))),
% 203.03/202.87 inference(rename_variables,[],[11244])).
% 203.03/202.87 cnf(14367,plain,
% 203.03/202.87 (P1(f318(f318(f320(x143671),f318(x143672,x143673)),f318(f301(x143674,x143671,x143672),f233(f927(x143674,a918)))))),
% 203.03/202.87 inference(rename_variables,[],[4112])).
% 203.03/202.87 cnf(14372,plain,
% 203.03/202.87 (~E(x143721,f318(a103,x143721))),
% 203.03/202.87 inference(rename_variables,[],[10579])).
% 203.03/202.87 cnf(14391,plain,
% 203.03/202.87 (~P1(f318(f318(f320(x143911),x143912),f179(f927(x143911,a918))))),
% 203.03/202.87 inference(rename_variables,[],[4706])).
% 203.03/202.87 cnf(14397,plain,
% 203.03/202.87 (~P1(f318(f318(f226(a920),f318(f318(f73(a920),x143971),x143972)),x143971))),
% 203.03/202.87 inference(rename_variables,[],[4718])).
% 203.03/202.87 cnf(14408,plain,
% 203.03/202.87 (E(f318(x144081,f318(f84(x144082,x144083,f233(f927(x144082,a918)),x144081),f318(x144081,x144084))),f318(x144081,x144084))),
% 203.03/202.87 inference(rename_variables,[],[11388])).
% 203.03/202.87 cnf(14415,plain,
% 203.03/202.87 (~E(f318(f318(f300(x144151),x144152),x144153),f179(f927(x144151,a918)))),
% 203.03/202.87 inference(rename_variables,[],[4684])).
% 203.03/202.87 cnf(14426,plain,
% 203.03/202.87 (~P1(f318(f318(f320(x144261),x144262),f179(f927(x144261,a918))))),
% 203.03/202.87 inference(rename_variables,[],[4706])).
% 203.03/202.87 cnf(14434,plain,
% 203.03/202.87 (E(f318(f318(f125(x144341),x144342),f104(x144341)),x144342)),
% 203.03/202.87 inference(rename_variables,[],[3450])).
% 203.03/202.87 cnf(14441,plain,
% 203.03/202.87 (P1(f318(f318(f225(a920),x144411),f318(f318(f74(a920),x144411),x144411)))),
% 203.03/202.87 inference(rename_variables,[],[3776])).
% 203.03/202.87 cnf(14444,plain,
% 203.03/202.87 (~P1(f318(f318(f320(f926(x144441,x144441)),x144442),f254(x144441,f179(f927(x144441,a918)))))),
% 203.03/202.87 inference(rename_variables,[],[11244])).
% 203.03/202.87 cnf(14447,plain,
% 203.03/202.87 (P1(f318(f318(f320(x144471),f318(x144472,x144473)),f318(f301(x144474,x144471,x144472),f233(f927(x144474,a918)))))),
% 203.03/202.87 inference(rename_variables,[],[4112])).
% 203.03/202.87 cnf(14464,plain,
% 203.03/202.87 (~E(f318(f318(f142(x144641),x144642),x144643),x144643)),
% 203.03/202.87 inference(rename_variables,[],[4675])).
% 203.03/202.87 cnf(14471,plain,
% 203.03/202.87 (P1(f318(f318(f225(f927(x144711,a918)),x144712),x144712))),
% 203.03/202.87 inference(rename_variables,[],[3809])).
% 203.03/202.87 cnf(14474,plain,
% 203.03/202.87 (~P1(f318(f318(f320(x144741),x144742),f179(f927(x144741,a918))))),
% 203.03/202.87 inference(rename_variables,[],[4706])).
% 203.03/202.87 cnf(14482,plain,
% 203.03/202.87 (~P1(f318(f318(f320(f926(f921(x144821),f921(x144821))),f318(f318(f243(f921(x144821),f921(x144821)),f104(x144821)),x144822)),f148(x144821,x144823)))),
% 203.03/202.87 inference(rename_variables,[],[4726])).
% 203.03/202.87 cnf(14492,plain,
% 203.03/202.87 (~P1(f318(f318(f226(a920),f318(f318(f73(a920),x144921),x144922)),x144921))),
% 203.03/202.87 inference(rename_variables,[],[4718])).
% 203.03/202.87 cnf(14501,plain,
% 203.03/202.87 (~P1(f318(f318(f320(a920),x145011),f318(f273(a920),f2(a920))))),
% 203.03/202.87 inference(rename_variables,[],[12113])).
% 203.03/202.87 cnf(14506,plain,
% 203.03/202.87 (~E(x145061,f318(a103,x145061))),
% 203.03/202.87 inference(rename_variables,[],[10579])).
% 203.03/202.87 cnf(14528,plain,
% 203.03/202.87 (P1(f318(f318(f225(a920),x145281),f318(f318(f74(a920),x145281),x145281)))),
% 203.03/202.87 inference(rename_variables,[],[3776])).
% 203.03/202.87 cnf(14534,plain,
% 203.03/202.87 (~P1(f318(f318(f320(x145341),x145342),f179(f927(x145341,a918))))),
% 203.03/202.87 inference(rename_variables,[],[4706])).
% 203.03/202.87 cnf(14537,plain,
% 203.03/202.87 (~P1(f318(f318(f320(f926(x145371,x145371)),x145372),f254(x145371,f179(f927(x145371,a918)))))),
% 203.03/202.87 inference(rename_variables,[],[11244])).
% 203.03/202.87 cnf(14554,plain,
% 203.03/202.87 (~P1(f318(f318(f320(a920),x145541),f318(f273(a920),f2(a920))))),
% 203.03/202.87 inference(rename_variables,[],[12113])).
% 203.03/202.87 cnf(14559,plain,
% 203.03/202.87 (P1(f318(f318(f225(f927(x145591,a918)),x145592),f318(f318(f101(f927(x145591,a918)),x145593),f233(f927(x145591,a918)))))),
% 203.03/202.87 inference(rename_variables,[],[11494])).
% 203.03/202.87 cnf(14569,plain,
% 203.03/202.87 (P1(f318(f318(f225(f927(x145691,a918)),f318(f163(x145691),f167(x145691,x145692,x145693))),f318(f163(x145691),x145692)))),
% 203.03/202.87 inference(rename_variables,[],[4202])).
% 203.03/202.87 cnf(14579,plain,
% 203.03/202.87 (P1(f318(f318(f225(f927(x145791,a918)),x145792),x145792))),
% 203.03/202.87 inference(rename_variables,[],[3809])).
% 203.03/202.87 cnf(14582,plain,
% 203.03/202.87 (~P1(f318(f318(f320(f926(x145821,x145821)),x145822),f254(x145821,f179(f927(x145821,a918)))))),
% 203.03/202.87 inference(rename_variables,[],[11244])).
% 203.03/202.87 cnf(14606,plain,
% 203.03/202.87 (P1(f318(f318(f225(f927(x146061,a918)),f318(f163(x146061),f167(x146061,x146062,x146063))),f318(f163(x146061),x146062)))),
% 203.03/202.87 inference(rename_variables,[],[4202])).
% 203.03/202.87 cnf(14611,plain,
% 203.03/202.87 (~P36(x146111,x146112,x146113,f318(f318(f145(x146114,x146111),x146115),f318(a103,f104(x146114))),f104(x146112))),
% 203.03/202.87 inference(rename_variables,[],[11524])).
% 203.03/202.87 cnf(14632,plain,
% 203.03/202.87 (P1(f318(f318(f226(a1),f318(f318(f3(a1),x146321),f71(a1))),x146321))),
% 203.03/202.87 inference(rename_variables,[],[11054])).
% 203.03/202.87 cnf(14642,plain,
% 203.03/202.87 (P1(f318(f318(f225(f927(x146421,a918)),x146422),x146422))),
% 203.03/202.87 inference(rename_variables,[],[3809])).
% 203.03/202.87 cnf(14653,plain,
% 203.03/202.87 (~E(f318(f318(f92(a920),f318(a103,x146531)),x146531),f318(a103,x146531))),
% 203.03/202.87 inference(rename_variables,[],[11860])).
% 203.03/202.87 cnf(14662,plain,
% 203.03/202.87 (P1(f318(f318(f320(x146621),f318(x146622,x146623)),f318(f301(x146624,x146621,x146622),f233(f927(x146624,a918)))))),
% 203.03/202.87 inference(rename_variables,[],[4112])).
% 203.03/202.87 cnf(14674,plain,
% 203.03/202.87 (~P1(f318(f318(f320(x146741),x146742),f179(f927(x146741,a918))))),
% 203.03/202.87 inference(rename_variables,[],[4706])).
% 203.03/202.87 cnf(14700,plain,
% 203.03/202.87 (~P1(f318(f318(f226(a920),x147001),x147001))),
% 203.03/202.87 inference(rename_variables,[],[4695])).
% 203.03/202.87 cnf(14715,plain,
% 203.03/202.87 (~E(f318(f318(f142(x147151),x147152),x147153),x147153)),
% 203.03/202.87 inference(rename_variables,[],[4675])).
% 203.03/202.87 cnf(14720,plain,
% 203.03/202.87 (~P1(f318(f318(f320(a920),x147201),f318(f273(a920),f2(a920))))),
% 203.03/202.87 inference(rename_variables,[],[12113])).
% 203.03/202.87 cnf(14751,plain,
% 203.03/202.87 (~E(f318(f318(f142(x147511),x147512),x147513),x147513)),
% 203.03/202.87 inference(rename_variables,[],[4675])).
% 203.03/202.87 cnf(14775,plain,
% 203.03/202.87 (~P1(f318(f318(f320(a920),x147751),f318(f273(a920),f2(a920))))),
% 203.03/202.87 inference(rename_variables,[],[12113])).
% 203.03/202.87 cnf(14783,plain,
% 203.03/202.87 (~P1(f318(f318(f320(x147831),x147832),f179(f927(x147831,a918))))),
% 203.03/202.87 inference(rename_variables,[],[4706])).
% 203.03/202.87 cnf(14810,plain,
% 203.03/202.87 ($false),
% 203.03/202.87 inference(scs_inference,[],[3562,3546,3951,3547,4248,4094,3313,4719,4687,3521,4286,3520,13886,14159,14245,4696,3594,4691,3611,3964,4722,13948,4112,13963,13990,14058,14075,14078,14154,14367,14447,14662,4706,13872,14180,14195,14303,14391,14426,14474,14534,14674,14783,4202,13993,14084,14250,14569,14606,3497,3992,4667,4675,13830,13901,13980,14167,14190,14290,14464,14715,14751,4678,13799,13975,4684,14415,3502,3598,4279,4155,3518,3519,14025,3969,3539,14109,14198,3825,3959,13955,3809,14233,14471,14579,14642,3961,13812,3670,3776,13952,14126,14226,14441,14528,3777,13846,13938,14049,14061,4382,3962,14114,3479,13933,13960,14253,3450,14036,14278,14434,3474,4723,4724,14343,4726,14482,4695,13919,14119,14700,4703,14010,4716,13856,14022,4715,4720,13851,4717,4718,14001,14397,14492,3721,11860,14653,10579,14372,14506,13470,10633,12297,13051,12170,12210,12824,11666,13652,13558,12581,10900,14210,12216,13092,13560,10888,13105,11383,12826,12855,12862,11231,13572,11494,14559,11195,11054,13859,14140,14632,12115,4499,3880,12884,11187,11226,11563,14033,11518,11388,13881,13925,13996,14072,14177,14201,14306,14408,10555,13374,11652,10998,10813,3551,3464,11545,11293,11013,13362,13365,11003,13650,13682,12006,12524,12513,11484,12619,13107,12111,12113,13867,13922,14314,14501,14554,14720,14775,11011,11450,12230,11244,13912,14081,14147,14266,14356,14444,14537,14582,12432,11247,13972,14030,11489,11566,10993,13841,14013,14283,12370,12373,12880,11501,12784,13674,13704,11524,14324,14611,11262,11528,13896,12688,11403,11241,11497,3284,13648,3576,4063,5734,6196,6903,7526,5187,7149,6497,8676,5215,7215,5143,6258,5468,4759,6968,8536,7657,8740,6409,7947,7549,7573,6089,8903,5054,5668,5855,6564,8122,9400,5121,5344,5385,8037,4814,5335,5808,5414,9,5070,6047,9538,8853,5472,7272,7390,8800,10387,9565,5571,9439,9931,4812,6921,9148,4733,5028,6285,6705,8832,9016,10203,8,6949,9329,6355,6544,8954,6313,5697,7107,9450,5995,6279,8810,6135,7695,9955,7975,8852,5392,5867,6413,4864,5205,8605,7454,6411,5696,5773,5906,6111,6318,6966,8673,8742,5221,7106,8154,5918,6667,7550,9834,6445,7575,8653,6505,4907,7762,6997,8811,4908,7648,8818,10384,8714,8739,8762,6361,8677,9635,10159,5400,5618,9150,9673,9827,8341,8643,7081,7697,8432,7142,8227,5055,5274,5518,5904,5406,5912,5634,6375,10468,5409,7595,9227,5442,5494,7986,5854,6181,8518,7620,9532,4818,8773,9461,8971,6453,8863,7524,8025,6424,4813,5359,6970,6263,6289,9433,9799,5492,5525,5604,5619,6008,6239,6673,9778,4866,5375,6087,6598,9161,6356,8789,4902,6280,6463,7743,10168,5457,10386,7380,5484,9021,6922,6471,6703,9056,2,6494,4942,5674,5778,8575,9490,10178,4816,5417,5214,7013,6062,7977,5646,8244,5387,5500,7850,5382,5336,6316,6461,6510,10177,5744,6998,9328,9810,10161,9991,5764,5900,8732,9510,6545,8871,5727,6264,6717,8741,6920,6314,6431,9672,8890,6415,8062,5193,9808,6556,5926,6549,7832,9871,6109,5144,5945,9291,9864,6312,8089,5505,6139,7898,7083,9449,8807,5714,6762,7744,10449,6554,10149,4936,4857,7540,9537,9753,9258,5146,10065,9829,5916,6262,9671,5275,7363,9120,6552,9918,8738,4858,6288,7633,9292,9741,6493,7087,5285,6961,8245,6888,9735,6101,8699,5487,6761,6843,7359,9930,8408,8243,9630,6222,5937,9045,5456,7910,8733,9714,5716,8586,5728,6024,6090,5848,6083,8672,9006,9638,9044,6371,9986,5373,8972,5568,6243,6630,6820,6972,5122,5980,9811,9865,5486,8188,8663,5859,6720,10166,5863,6964,7394,8651,8950,8953,4771,10297,10198,5145,7569,6496,6999,9275,5700,6919,9976,5343,5213,5558,5959,5966,6967,8517,9506,9514,5469,5845,9017,7301,8451,5220,6437,6652,8713,5774,6553,6654,8761,5820,5473,7070,8668,8620,5776,5383,5386,5519,6074,5928,6929,9259,5504,10061,6429,7700,8907,9300,9698,4780,8250,6442,6942,4842]),
% 203.03/202.87 ['proof']).
% 203.03/202.88 % SZS output end Proof
% 203.03/202.88 % Total time :178.420000s
%------------------------------------------------------------------------------